Britiſh Muriner's 
ASSISTANT: 


FORTY TABLES, 


Adapted to the ſeveral Purpoſes of 


Trigonometry and Navigation, 
To which are prefixed L 


AN ESSAY ON LOGARITHMS, 


A N D 


NAVIGATION EPITOMIZED; 


Containing Rules for ſolving the moſt neceſſary Pro- 
blems, with the Method of finding the Lati- 
tude at Sea, by Obſervations taken either 
before or after Noon. 


Alſo a more accurate Method of finding the Time of 
high Water than any other hitherto publiſhed, &c. 


— 


— — 


SECOND EDITION with ADDITIONS. 


tt 


* 
—— — 
2 


By BENJAMIN DONN E, 


TEACHER of the MATHEMATICS, and LS rn ER in 
EXPERIMENTAL PHILOSOPHY, at BRISTOL. 


————————— 


n r 


— 
— 


C 2 
Printed for B. L A W, in Avg-Ma RA Lang. 
M.,DCC:LXXXV, 


cy as cf FF WW Fy WJ WF WW '. Gy. ar wg — AT aki i. 


K — — RES — — ——— — —— _— 


66 MM — — — — 


C E. 


T is well-known to the Britiſh Mariners, that the 
neceſſary Tables, for the Practice of Trigono- 
metry and Navigation, are art preſent ſcattered about 
in a Variety of Books; ſo that, hitherto, the younz 
Student, if he would obtain but an indifferent Set 
of Tables, has been obliged to buy, and frequently 
turn over, at leaſt four different Treatiſes. Hence 
it ſeems probable, that even a bare Collection of 
the woſt valuable Tables, in one Volume, at a mo- 
derate Price, would be acceptable to the Public. — 
However, I hope this Book will be found to have 
ſome little Merit above a mere Collection. 

Having, for ſome Years, had an Intention to 
publiſh, tor the Eaſe of Teachers in general, and 
my own in particular, an Epitome of the Art, con- 
taining the Elements, with their Application to. 
Practice, in a Manner which, it is ſuppoſed, will 
equally ſerve the Purpoſe of the Maſter and Pupil, 
I came to a Reſolution to print the neceſſary Tables 
in a Volume by themſelves, to render them more 
convenient; and at the ſame Time not to give a mere 
Copy, bur to examine and make ſuch Improvements,: 
in the ſeveral Tables, as ſeemed proper, as well as 
to add ſuch other Tables as might be judged ne- 
ceſſary. I ſhall only mention a few Inſtances. 

Firſt, in Demy-Octavo Books, it has been cuſ- 
tomary, for Want of Room, to give, at moſt, only 
6 Places of Decimals, in the Tables of Logarithms; 
whereas we have contrived to give it, in this, to 
7 Places of Decimals. Alſo to the ſame Number 


in 


PREFACE. 


in Table II. of Artificial Sines, Tangents, &c. By 
which Means the Calculations can be worked with 
the ſame Accuracy as 'by Sherwin's or the Quarto 
Tables. I have alſo tontrived to give, in this 
Table, without increaſing irs Bulk, the Natural 
Sines 3 which are now of great Uſe in Navigation, 
in Conjunction with Table IV. for finding the La- 
titude, by two Altitudes, at any Time of the Day. 

Tables VII. and VIII. of Difference of Latitude 
and Departure, are given, in Books of this Size, 
only to the Diſtance, 100 ; but, in this Collection, 
are given even in a more convenient Form than in 
the Quarto Books, generally uſed at Sca; where 
the Diſtance is 300 Miles. I have adapted theſe, 
to find readily the Difference of Latitude and De- 
parture, &c. correſponding to a Diſtance of 3000 
Miles, or upwards. 

The Table of Meridional Parts is adapted both to 
the Sphere and Spheroid. 

The Tables of Right-Aſcenſion and Equation of 
Time, Sun's Place, Declination, &c. are contrived 
ſo as to ſerve the common Purpoſes of Navigation, 
for ſeveral Years to come, 

In the Table of Latitudes and Longitudes, many |, 
are given on better Authority than in the common 
Sea-Books. 

I might proceed to take Notice of ſeveral other 
Things of this Nature, but ſhould rather leave it 
to the ingenious and candid Mariner, to make the 
Compariſon himſelf, between this and any other 
Book of Tables he has been accuſtomed to, both 


with Reſpect co the Number of Tables, and their Ac- 


curacy and Form. I ſhall therefore only farther 
remark, on this Subje&, that Table XL. is con- 
ſtructed from upwards of 300 Obſervations, many 
of which were made by myſelf, and the Reſt by my 
Aſſiſtant, for that Purpoſe, at Briſtel; and, at 0 

Oft, 


PREENGE 
Port, the Time of High- Water, computed by this Ta- 
ble, did not, at a Mean, for a whole Year, err a Quarter 
of an Hour from the Truth; when, by the common 
Rule, there would befrequently between 2 and 4 Hours 
Error. Briſtol is not ſo well adapted for making ſuch 
Obſervations as many other Places are; however, I am 
not without Hopes that this Table will be. found to 
anſwer much better than the common Methods, at 
other Ports alſo : But then the Flowing at the Port 
muſt be previouſly aſcertained, to a few Minutes, 
and the Clock, or Watch, ſet by a good Sun-Dial, 
or aſtronomical Obſervation. | 

The Tables of Logarithms being of the greateſt 
Uſe in almoſt every Branch of the Mathematics, I 
was unwilling to refer the Reader to another Book, 
for the Rules, &c. neceſſary to be underſtood, for 
properly uſing them; and have therefore reprinted, 
and prefixed to this Volume, A Compendious Eſſay 
on the Doctrine of Logarithms; by which, it is 
hoped, the - Learner may attain as clear Ideas of the 
Nature and Application of Logarithms, as he could 
by much larger Treatiſes. The Inveſtigation of 
Logarithms, by Infinite Series, &c. is omitted, be- 
cauſe ir depends on the higher Parts of the Mathe- 
matics, and would therefore be improper in this 
Volume; but if Leiſure will permit, and En- 
couragement be given, to go on with my Courſe of 
mathematical Literature, the Subject will be treated 
of in a more proper Place. 

Though it is impoſſible to find Room, in this 
Volume, to treat fully of the ſeveral Uſes of the 
Tables herein contained, yet, to render it as inde- 
pendent as may be, to prevent the young Naviga- 
tor having continual Recourſe to other Books, I 
have given Compendiums of Trigonometry, Plane 
and Spherical; Navigation Epitomized; A Short 
Introduction to the Uſe of the Tables; and A Com- 

; pendium 


PREFACE. 


pendium of Aſtronomy ; alſo (for the Uſe of young 
Algebraiſts) Hints for the Application of Algebra 
to Trigonometry, with the Solution of the common 
Caſes of Compound Intereſt, &c. by Logarithms. 
In ſhort, I have endeavoured to make this Vo- 
lume as complete as its Bulk will permit; and I 
fatter myſelf it will be found to contain a more 
uſeful Set of Tables than any other Volume hitherto 
- Publiſhed, and therefore am not without Hopes that 
the generous Mariners will judge it, in ſome De- 
gree, worthy to be introduced into Practice at Sea, as 
well as in Schools. I have only to add, that, if 
this meets with their Approbation, it will be a Spur, 
to me, to proceed with my Intention of treating of 
the Elements of Navigation, both with Regard to 
Theory and Practice, in another Volume. 


Briſtol, Nov. 3o, 
1773. 


B. DONN. 


AN 


ON THE 
NATURE, INVESTIGATION, and Il 
APPLICATION, | 
; 87 1 


Sn 


— 


By BENJAMIN DONN . 


8 


THE SECOND EDITION. 


Si numeris in ratione geometrica progredien!ibus ſub- it 
ſeribantur totidem alii equidifferentes, dicuntur bi 
illorum Logarithmi. i 

e Worern Elem. Arith, i 
11 

[| 

i 

i 

189 

* | | 1 
17 

18 

| 

1 

U 


58888880 


SSS 


CHARACTERS uſed in this ESSAY. 


. 'Fherefore. 

+ The Sign of Addition, named Plus ; as 273 ſignifies 

that 2 and 3 are to be added together, 

— The Sign of Subtraction, called Minus; as 3—1 de- 

notes that 1 is to be ſubtracted from 3. 

X The Sign of Multiplication; as 3 x 2 ſhews that 3 is to 

be multiplied by 2. | 

-— The Sign of Diviſian; as 6— 3 ſignifies that 6 is to be 

divided by 3. This is ſometimes written like a 
Fraction, thus, 3. 

= The Sign of Equality; as 4 +1=5, denotes that 4 ad- 

| ded to 1 is equal to 5. 

IA Signifies that the Number denoted by is to be added 
to 1, and the Sum ſquared ; I Tu] that 1+mis to 
be raiſed to the third Power, or cubed, Sc. 

4 Square-Root, as V 4 = 2 denotes that the Square- 
Root of 4 is equal to 2. 

: Proportionality is thus expreſſed; as 2: 4 :: 6 : 12 
denores that as 2 is to 4, ſo is 6 to 12 ; and the like 
of any other Proportion. 


Beides theſe, the folliawing are uſed in Trigonometry and Naviga- 
tion, and therefore may perhaps be uſed in this Volume, 


[] Parallel. 

Angle. Rt. 4, Right-Angle. 

A Triangle. 

| Perpendicular. 

8. Sine. S. C. Sine-Complement. C. 8. Cofine. 


To. Tangent. T. C. Tangeat-Complement. C. T. 


Co-tangent; 
Sec. Secant, 
V.S. Verſed Sine. 
R. Radius, 


3 


C-H AP. I, 


Of DeriniTiONs, and the Nature and Inveſligation of 
LoGARITHMS. 


I, OGARITHMS (z and & are Numbers fo 
contrived and adapted to other Numbers, that, by 
their Addition or Subtraction, the Product or Quotient 
of the Numbers to which they are adapted, may be found. 
This Definition expreſſes the principal Deſign and Uſe of 
thoſe artificial Numbers, which Mathematicians diſtinguiſh by 
the Name of Logarithms. But here, (as it frequently happens 
in other Sciences,) a clear, accurate, etymological Senſe can- 
not be underſtood, till we have made a particular Enquiry into 
the Principles of the Science itſelf. 
2. To proceed, then, let us conſider the Nature of a geome- 
tical Progreſſion, with the Indices ſet over the reſpective 'l'erms, 
| For Example: 
Indices, o. 1. 3. 3. „ zg. 6. See 
Terms; . 1. 2. 4. 8. 16s 32+ 64. e. 
Here it is evident, that, if we add any two Indices together, 
their Sum will be the Index of yOu Number which is equal . 
: 2 the 


4. Nature of Logarithms. 


the Product of the Numbers whoſe Indices are added together: 
Thus, e. g. the Indices 2 and 3, added together, are 53 
the Numbers anſwering to the Indices 2 and 3, are 4 and 8; 
and 4 * 8 = 32 = the Number anſwering to the Index 5. 

It alſo follows, from the Nature of ſuch Progreſſions, that, 
if we ſubtra& one Index from another, their Difference will be 
the Index of that Number, or Term, which is equal to the 
Quotient of the two Numbers, or Terms, correſponding to the 
Indices whoſe Differences we found >» e. g. the Indices 6 — 4 = 
2; the Numbers correſponding to theſe Indices are 64 and 16, 
and 64 — 16 = 4 = the Number correſponding to the In- 
dex 2, 12 - 

3. Hence it follows, that (by Art. 1.) the Indices of a Se- 
ries of Numbers in geometrical Progreſſion, are Logarithms of 
the Terms in that Progreſſion. 

4. Hence, by the Nature of geometrical Progreſſions, it fol. 
lows, that, if the Logarithm of any Number be multiplied by 
the Index of the Power, the Product will be equal to the Loga- 
rithm of the Root when involved to the Height denoted by the 
Index. Thus, for Inſtance : The Index or Logarithm of 4, in 
the above Series, wiz. 2, being multiplied by 3, is = 6 = the 
Index or Logarithm of 64; and 64 = 4 cubed g X 4 X 4. 

5. From hence alſo it follows, that the Index or Logarithm 
of any Number being divided by 2, the Quotient will be the 
Index or Logarithm of the Square-Root ; but if divided by z, 
the Index or Logarithm of the Cube-Root ; if divided by 4, the 
Quotient will be the Index or Logarithm of the 4th Power, Oc. 

Exampl:. The Logarithm of 64, in the above Series, is 6; 

which being divided by 3, the Quotient is 2, the Index or Lo- 
garithm of 4, which is the Cube-Root of 64 ; for 4 X 4 X 4 
6. It follows, from the Nature of geometrical Progreſſions, 
that the Ratio of the firſt, and any other Term, is compoſed of 
ſo many equal Ratios as are expreſſed by the Index of that other 
Term: e.g. in the above Series, the Ratio of the iſt and 7th 
Term is made up of 6 equal Ratios ; for the Ratio of the iſt 
to the 2d Term is as 1 to 2, and of the 2d ro the zd as 1 to 2, 
and of the 3d to the 4th as 1 to 2, and of the 4th to the 5th as 
1 to 2, and of the 5th to the 6th as 1 to 2, and of the 6th to 
the 7th as 1 to 2 ; *.* the Ratio of the 1ſt to the 7th is compoſed 
of 1X1X9X1X1X1 to 2X2X2X2X2X2, 1. e. as 1 to 64. 
Hence plainly appears the Propriety of the l'erm, Logarithm:, 
it ſignifying, according to its Etymology, a Number of Ratios. 
7. Logarithms may be of various Kinds; for, inſtead of the 
Series, 1, 2, 4, Cc. above, we may ſubſtitute any other; 
thus, c. g. if we write the geometrical Series, 1, 10, 100, Ur. 
infead of 1, 2, 4, Ge. it will ſtand thus: 


Indices 


Inveſtigation of Logarithms, 5 


Indices or Logarithms, o. 1. 2. 3. 4 Oe. 
Terms or Natural Numbers, 1. 10. 100. 1000. 10000. t. 

This is the Form of Brigs's Logarithms; which are thoſe we 
ſhall now make it our Buſineſs to diſcourſe on. 

The greateſt Difficulty now remaining is to explain the Me- 
thod made Uſe of by Mr. Brigs, for finding the Logarithms of 
the intermediate Terms ; becauſe the Natural Numbers, 1, 2, 
3, 4» 5» 6, 7, 8, 9, 10, 11, Sc. are not in a geometrical 
Progreſſion. 

8. Before we proceed any farther, it may be proper to obſerve, 
that, if we ſuppoſe a geometrical Series beginning from Unity, 
whoſe common Multiplier is 1 + 4, the Series will be 1, 1+, 


1+ mt, 1 + s, 1 + , Sc. Now, if be ſuppoſed in- 
definitely little, it is evident that ſome of the Terms will ap- 
proach indefinitely near to the Natural Numbers, 2, 3. 4, s, 
fe. and, conſequently, it is poſſible to find the Natural Num- 
ber anſwering to any Logarithm, very nearly, though not ex- 
actly, true. CE ROT fe 

9. The Method of doing which may be thus explained. 
By the Definition of Logarithms, if x and y repreſent any two 
Numbers, the Logarithm of x Xx y = the Logarithm of x + the 
Logarithm of y; and therefore, (by Art. 5.) the Logarithm of 


h . Log. 
Vxxy = : — — 5 - 2: Hence, the “ arithmetical 


Mean of any two Logarithms is equal to the Logarithm of the 
geometrical Mean of the two Natural Numbers; conſequently, 
the-Logarithm of any intermediate Number may be found, by 
finding the geometrical Mean between the two given Numbers, 
(whoſe Logarithms are given,) and the Logarithm' anſwering 
thereto, (viz. the arithmetical Mean of the two given Loga- 
rithms;) then the geometrical Mean between the geometrical 
Mean juſt found and the neareſt Extreme, and the Logarithm 
anſwering thereto. After this Manner we proceed, till we find 
a geometrical Mean fo very nearly equal to the Number whoſe 
Logarithm we want, as we ſhall think ſufficiently near the 
Truth; then the. Logarithm of that geometrical Mean is ſut- 
ficiently near the Logarithm required. 

10. To illuſtrate this, let it be required to find the Loga- 

rithm of 9. Here we have the Logarithms of 1 and 10 given. 


— 


* Half the Sum of any two Numbers is called an aritEmetical Mean ; and the 
Square-R oct of the Product of two Numbers is called the geometrical Mean. 


(1) 


* ——— —— 


— 
n — * = 


6 Inveſtigation of Logarithms. 
(1.) The Log. of 1 =© 


Log. of 10 = 1 And Ii X 10 = t 
am = © Vio = 3.1622 * 
2 . the Logarithm of T 
Arithmetical Mean o.g 3-1622777 is = 0.5, J 
(2.) Hence we have the Logarithms of 3. 1622777 and 10 1 
iven. d 
Log. of to = = = 1, ' Hence the Log. of * 
Log. of 3. 1622777 = o. 5 VERT 1522777. : 
15 viz. of 5.6234132 1s 
2 . 
2 | 
0.75 
(3.) We have now the Logarithms of 10 and 5. 62341 32 
given. X 
IO, = —- -- - — its Log. = 1. $ 
Numbers | 5.06234132 = = =— its Log. = 0.75 > 
— — R 
N L 
; 3 2 . n 
V 10 & 5.0234132 = 7.4989421 » = its Log. = 0.875 
(4) Here we have the Log. of 10 and 7.4989421 given, : 
8 ro. Their 1. 
74989421 Logarithms 0.875 4 
1.875 8 
| E: 2 5 
415 x 7.4989421 = 8.6596431 — its Log. = 0.9375 A 
(5.) Hence we heve the Log. of 10 and 8.659643 1 given, 
Numb Their f 1. ſt 
3 1 2 8. 6596431 Logarithms 0.9375 4 
1.9375 " 
| 5 1 cc 
Vio x8. 6596431 9. 3057204 - its Log. = 0.96875 g 
(6.) We have now the Log. of 8. 6596431 and g. 3957204, 90 
given. 9.305 7204 Their 0-96 875 be 
8.05904 31 Logarithms 0.9375 ha 
— U 
1.90625 fri 


DIE STEM DES TP et BED | ———— 
V 9.3957204X8,65964;31 » = its Log. 0.953125 
And 


Inveſtigation of Logarithms: 7 
And proceeding after this Manner, after 25 Extradtions, the 
logarithm of 8.9999998 will be found to be 0.9542425; which 
we take for the Logarithm of 9, becauſe 8.9999998 differs but 
75625055 Or 5532555 from g. By the ſame Method, the 
Logarithms of the prime Numbers were found. | 
11. The Logarithms of the prime Numbers being found, the 
Logarithms of the Numbers compoſed of them are found by ad- 
ding the Logarithms of the component Parts; the Reafon of 
which is evident from the Definition in Art. 1. Take an Ex- 
ample. Given the Logarithm of 2 = 0.30103, and the Loga- 
rithm of 3 = 0.4771212, to find the Logarithm of 2 & 3 or 6. 
The Log. of 2 = 0.30103 | 
Log. of 3 o. 4771212 


Log. of 6 = o. 77815 12 


12. The Logarithm of any Number being given, the Loga- 
fithm of any Number equal to the Square or Cube, c. of that 
Number may be found, by multiplying the Logarithm of the 
Root by 2, 3, Se. reſpectively, according as the Power, whoſe 
Logarithm is to be found, is a Square, or Cube, Sc. This is 
manifeſt by Art. 4. | 

13. Laſtly, the Logarithm of any Power being given, the 
Logarithm of its Root is found by dividing that Logarithm by 
the Index of the given Power, by Art. 5. 

14. After the Method juft now deſcribed the Tables of Loga- 
tithms were at firſt made: And, if we conſider the great Labour 
and Patience neceflary to the Accompl:ſhmeat of ſo great a 
Work, how much are we beholden to Lord Acer and Mr. Brigs / 
Certainly their Names will and ought to be perpetuated from one 
Age to another, even to the End of the World! 

There have lately been invented much eafier Methods of con- 
ſtructing Logarithms than the above; but, as they depend on 
Fluxions, Conic Sections, &c. they cannot be underſt,,! in 
this Place; and it Is ſufficient to have ſhewn the Method by 
which the Tables were mace, as we have now no Occaſion to 
conſtruct new Ones. | 

15. Having explained the Nature of making a Table of Lo- 
garithms of Numbers greater than Unity, the next Thing to be 
done is to ſhew how the Logarithms of fractional Numbers may 
be fund. In Order to which, let it be obſerved, that, as we 
have hitherto ſuppoſed a geometrical Series to increaſe from an 
Unit on the Right- Hand, we may now ſuppcſe it to decreaſe 
from an Unit towards the Left-Hand, as here annexed. 

Log. —3. — 2. — l. o. +1. +2. +3. Oc. 
C. A. B. 


Numbers, 1068. res. 10 1. 10. 100. I GOQ, Se. 
Here 


8 Of Logarithms of Fraftions, 


Here the Series from the Point A, or Unity, increaſes towards 
B, and decreaſes towards C. TRA | 

It is evident, by a bare Inſpection, that, if the Numbers are 
both Fractions, the Sum of their Logarithms is equal to the 
Logarithm of their Product: But it one Number is on the 
Right-Hand of the Point A, and the other on the Left of it, 
(that is, if one Number is greater than an Unit, and the other 
a Fraction,) then the Difference of their Logarithms will be 
equal to the Logarithm of their Product; and the Logarithm 
of the Product will be on the ſame Side of the Point A as is the 
greater of the two Logarithms, $35 | 

16. In Order to make a proper Diſtinction, we may denote 
the Logarithm of any Number greater than an Unit by the 
Sign + ; for they may be reckoned affirmative ; and then the 
fractional Quantities muſt be conſidered as negative. 

17. It is alio evident, from Inſpection of the above Series, 
that, if a Number, having an affirmative Logarithm, is divi- 
ded by another Number whoſe Logarithm is a greater affirma- 
tive Number, the Difference of their Logarithms, taken nega- 
tively, will be the Logarithm of their Quotient. Thus, e. g. 
the [oparithm-of 100 = 2, and the Logarithm of 1000 = 3; ; 
their Difference, taken negatively, is — 1 = the Logarithm of 
Je, the Quotient of 100 — 1000. 'This might have been 
deduced from the Nature of Fractions: For the Numerator of 
any Fraction may be eſteemed as a Dividend, and the Denomi- 
nator as a Divitor : Therefore, by the Nature of Logarithms, 
(Art. 1.) the Logarithm of the Numerator, minus the Loga- 
rithm of the Denominator, is equal to the Logarithm of the 
Fraction : But ſince the Denominator of a proper Fraction is al- 
Ways greater than the Numerator, its Logarithm will be greater 

than = of the Numerator, and conſequently it will be, impoſ- 
ſible to take the Logarithm of the Denominator from that of 
the Numerator ; therefore we are obliged to take the Logarithm 
of the Numerator from that of the Denominator, and expreſs 
the Difference negatively, for the Logarithm of the Fraction. 

18. The Logarithm of 1, 10, 100, 1000, Cc. being o, 1, 
2, 3, c. reſpectively, it is manifeſt that the Logarithms of 
the intermediate Terms may be conſidered as a mixed Number, 
made up of an Integer and decimal Fraction; and that the in- 
tegral Part, called, by ſome Writers, the [ndex, (Lat.) by 
— the Exponent, (from expono, Lat.) and by others, the 
Characteriſtich, (from Character, Lat.) is one leſs than the 
Number which expreſſes how many Figures the Natural Number 
conſiſts of; e. g. if the Natural Number has 4 Places, the Cha- 
racteriſtick of the Logarithm will be 3; if of 3 Places, 2; if 
of 2 Places, 1, Oc. 


19. 


Of Logarithnis Fractions. 9 


19. Diviſion being performed by SubtraQtion of the Loga- 
rithms, and the Logarithm of 10 being 1, it follows, that the 
Logarithm of % of any Number muſt be one leſs than the Lo- 
x ag of that Number. Thus, e. g. the Logarithm of 7851 


eing + 3.894925, 


2851 3 
2 - = 785.1 + 2.894925 
8 
O 
785.1 8 8 2 55 
— — = 78. 1. * 
* 78.51 © + 1994925 2B 
3 3 2 
2 | e 
. + 0.894925 
& 4 > is 4 
8 7.85 1 SS 1 
8 om 7851 o. 105075 
F — 
Nl Le LE — 1.10507; | 5 
| _ .o7851 | 5975 \ Bos 
4 > 2 
f hn od ee 00785 1 — 2.105075 * 
a 10 
; = Sc. | — . 
5 The above affirmative pn were found by ſucceſſively 
- ſubtracting the Logarithm of 10, viz. + 1 from the preceding 
© Logarithm ; then, to find the firſt negative Logarithm, + 1 
- {the Logarithm of 10) was to be taken from the Logarithm 
T + 0.894925 ; but, as the Log. to be ſubtracted is greater than 
. that from which it was to be taken we are obliged to ſubtract 
f the leſſer 0.894925 from the greater 1, and expreſs their Dif- 
m ference negatively, for the required Logarithm, (as directed in 1 
is Art. 17,) which gives — 0.105075, Ihen, to find the other 1 
negative Logarithms, the Logarithm + 1 being to be ſubtracted i 
l, from a negative Logarithm, we have only to add 1 ſucceſſively, 1 
of and expreſs the Sum negatively ; for, by Art. 46, E/ay on Arith- 1 
I metick, to ſubtract an Afiirmative is the ſame as to add a Nega- \| 
N- tive. y 
by 20. The Logarithms of Fractions may be expreſſed in ſuch a 
he Manner, that the fractional Part may be affirmative, and the 
he Characteriſtick negative. Logarithms thus expreſſed are called 
cr bincmial Logarithms, (from binomius, Lat.) and are better ad- 
12- apted for Practice than the negative Ones. [| 
if 21, To find the binomial Logarithm of a proper Fraction. 1 


5 

C | From x 
' 

/ 


b 


10 Of Binomial Logarithms. 
From the Logarithm of the Numerator ſubtract that of the 


Denominator ; — that when we come to the Cha. 
racteriſticks, the Characteriſtick of the Numerator is to be taken 


from that of the Denominator, (after having added the one that 


was borrowed, if any, to the Characteriſtick of the Denomina. 
tor.) — N. B. By this Rule may alſo the Logarithm of a cir. 
culating Decimal be found, as the Decimal may be reduced to a 
Vulgar Fraction by the Rules in our Treatiſe of Circulating De. 
cimals. 


Example, The binomial Logarichm of 7:851 is =— 1 + 
894925. i uy 
For the Logarithm of 7.851 = 0.894925, by Art. 19. 
The Logarithm of 10 = 1.000000 


The Log. of — — by this Rule 2-1. 4894925. 
But this Logarithm is more commodiouſly wrote thus, 


1.894292 5 ; the Daſh over the Characteriſtick ſhewing it is a 
negative Quantity, and the remaining Part affirmative, 


Hence 


* That the binomial Logarithms, found by this Rule, are, in Effect, the 
ſame as the negative Logarithms afore deſcribed, may be thus ſhewn, Let 


— be any proper Fraction; then, putting e for the integral, and 7 for the frac- 
tional Part of the Logarithm of », we have c + r = bogaritbhmof n; and 
putting t for the Characteriſtick, and a'= the decimal Part of the Logarithm 


of d, then e+Sa= the Logarithm of 4. Hence, by Art, 17, eo+a — T- 
=iFa—c—r, taken negatively, (that is, changing the Signs,) wiz, — 


t —a+c+r = the Logarithm of A. 


But, for the binomial Logarithm, we have two Caſes, 1ſt, When r is greater 
than a, then t — c, taken negatively, is — r e; *,* the binomial Loga- 
rithm, according to this Rule, is — f + c +r — a, which may ftand thus, 
—i—@a-+Fc+r, which is the fame as the above Expreſſion fos the negative 


Logarithm. adly, When r is leſs than a. Firſt, e =c=2 + I/ = 
the Leg. of » ; now, ſubtracting a from x + r, there remains 3 +r —a; 
and taking c — 1 from t, (according to this Rule,) er, which is the ſame 
Thing, c from f 1, there remains c++ 1 — c, which, taken negatively, is 
— . — 1 for the CharaQtcriſtick ; *.* — 8: — 1 + c + (the decimal Pan 
of the Logarithm) 1 + — a= tbe binomial Logarithm = —z + c + r— 2 
=— t— a +c-+r, the ſame Expreſſion as that above, for the negative Le- 
garithm, 2. E. D. 


* 5 nf fa 


v. on 


cy 


S. WW oY UW $0 v9 


Of Binomial Logarithms, 11 


Hence the Log. of 15 = 785 1 is = 1.894925. 


of 28 = .07851 is 2.894925. 


o7851 _ 232 
* = . 0785 1 is = 3.894925, 
Se. Se. 


Hence it is evident, that the decimal Part of the binomial 
Logarithm of a decimal Fraction is the ſame as that of an in- 
tegral Number of the ſame TIE and it 1s alſo manifeſt, 
that, if the ſignificant Figure of the decimal Number is in the 
firſt Place, the Characteriſtic is — 1; if the fignificant Figure 
be in the ſecond Place, the integral Part of the Logarithm is 
— 2, Oc. And this is the Kind (of Logarithms) we ſhall 
make Uſe of in the remaining Part of this Ess Ax, to expreſs 
fractional Quantities, 

22. In taking out of a Table the Logarithm of any Integer 
not exceeding 10000, we have the fractional Part by Inſpec- 
tion; to which we prefix, for a Characteriſtick, 3, if the 
Number conſiſts of 4 integral Figures; 2, if of 3 integral Fi- 
gures, c. that is, the Characteriſtick muſt be one leſs than 
the Number of integral Places : But if the Number, whoſe 
Logarithm is required, be above 10000, then find the Loga- 


rithm cf the two neareſt Numbers to it that can be found in 


the Table, and ſay, * As their Difference: the Difference of 
their Logarithms :: the Difference between the neareſt Num- 
ber and that whoſe Logarithm is required : the Difference of 
their Logarithms nearly; which being either ſubtracted from, 
or added to, the neareſt Logarithm, according as it 1s greater 
or leſs than the required one, will give nearly the Logarithm 
required, Take an Example. 
Let it be required to find the Logarithm of 367182. 
The fractional Part of the Logarithm of 3671 is by the Tas 
ble .564784, and of 3672 is .564903 3 *.* 
The 5 367100 is 5.564784 Neareſt No. 367200 
Log. of 2 367200 is 5.504903 The Ne. 367182 
Their Dif. 100 and of Log. . oo 119 Diff. 18 
*,* As 100: . 00119 :: 18: . oo nearly; . 5.564903 
— .00021 = 5. 564882 nearly = the Logarithm of 367 182. 
C 3 This 


* Such Proportions are expeditiouſly worked on the Line of Numbers on the 
Navigation-Scale, | | 


LY 


12 To add Logarithms. 


This Method being grounded on Suppoſition that the Loga- 
rithms of Numbers between 367 100 and 367200 increaſe or 
decreaſe equally, according to their Diſtance from 367100 or 
367 200, is not ſtrictly true, but nearly ſo ; and the greater any 
Numbers are with Reſpect to their Difference, the nearer will 
thoſe Differences be proportional; and therefore, though this 
will not give the exact Logarithm, yet it will be nearly ſo, and 
ſufficiently near the Truth, for moſt Purpoſes either of Buſineſs 
or ileaiure. 

I* the Number does conſiſt of both Integers and Fractions, 
find tne fractional Part of the Logarithm as if all its Figures 
were Ivtegers, and to that fractional Part prefix the Index be- 
longing to the integral Part; wiz. make the CharaQeriſlick one 
lets than the Number of integral Figures, and you will have the 
Logarithm ſought. . 

Faftly, if the Number, whoſe Logarithm is required, be en- 
tirely ftactional, find the fraQtional Part of the Logarithm, as 
if it was a whole Number, and to it prefix the Characteriſtick, 
— 1, if the firſt Figure to the Left-Hand be 7 enths ; but, if the 
firſt Figure be in the ſecond Place, or Place of Hundreds, the 
Characteriſtick muſt be — 2, &c. | 

23. When two or more Logarithms are to be added together, 
they may be added by the Rules for adding affirmative and ne- 
gative Quantities in Algebra: That is, 1. If they are all / 
Frmati ve, add them as in common Addition, and the Sum will 
be the affirmative Logarithm required. See Example in Art. 33. 

24. Caſe 2. If the Characteriſticks of the Logarithms to be 
added are all zega:ive, add the decimal Parts together by com- 
mon Addition ; and if there is any Thing to be carried from 
the decimal Part to the integral Parts, it is affirmative, (by the 
Nature of binomial Logarithms,) which reſerve: Then find 
the Sum of the negative CharaQeriſticks ; which, being nega- 
tive, the Difference betwixt this Sam and the Carriage, (above 
referved,) with the Sign of the greater, will be the Charactei- 
iitick required, See Example, Art, 36. | 

25. Caſe 3. When the Characteriſticks of the Logarithms to 
be added are foie affirmative, others negative — add the frac- 
tional Parts as uſual; only the Carriage from the decimal Part 
to the integral, being affirmative, muſt be added to affirmative 
Characteriſticks; whoſe Sum, including the Carriage, being 


found, and alſo the Sum of the negative CharaReriſticks, nd 


* D . 2 
the Difference of theſe Sums, and to it prefix the Sign of the 


greater, for the required Characteriſtick. See Ex. Art. 34, 
37» 38. | 
26. When one Logarithm is to be ſubtracted from another, 
the Work may be done as in Subtraction of Algebra, by having 

py due 


To find the Difference of two Logarithms, 13 


due Regard to the affirmative and negative Quantities, But to 
be more particular. 

Caſe 1. To ſubtract a leſs affirmative from a greater affirma- 
tive Logarithm, find their Difference, as in common Arith- 
metick. See Ex. Art. 40. 

27. Caſe 2. When it is required to ſubtract a greater affirma- 
tive from a leſs affirmative Logarithm, it is the ſame as to find 
the Logarithm of a proper Fraction, and therefore may be found 
as directed in Article 21, See Ex. Art. 41. 

28. Caſe 3. When a binomial Logarithm is to be ſubtracted 
from an affirmative Logarithm, if the decimal Part of the affir- 
mative Logarithm is greater than that of the Binomial, ſubtra& 
the decimal Part of the Binomial from the decimal Part of the 
Affirmative, and prefix the Sum of their Characteriſticks, with 
the affirmative Sign. But if the fra#onal Part of the bino- 
mial Logarithm be greater than that of the Affirmative, add, or 
ſuppoſe in your Mind 1 to be added to the fractional Part of the 
Affirmative; then ſubtract the fractional Part of the Binomial 
from that Sum ; (but, becauſe we added 1 for Convenience, 
we muſt alſo, to continue the Equality) add + 1 to the bino- 
mial Characteriſtick; but the Characteriſtick of the binomial 
Logarithm being negative, the adding + 1 to it is dimintſhin 
the negative Characteriſtick by Unity; which CharaQe:iſtick, 
ſo diminiſhed, being added to the affirmative CharaQteriſtick, 
will give the affirmative Characteriſtick of the required Loga- 
rithm. See Ex. Art. 42, 43. | 

29. Caſe 4. When an afirmative Logarithm is to be ſubtracted 
| from a Binomial; if the fractional Part of the Binomial be 
greater than that of the affirmative Logarithm; to the Differ. 
ence of their fractional Parts, place, for a CharaQteriſtic, the 
Sum of their Characteriſticks, with the negative Sign: but if 

the decimal Part of the Birvmial is leſs than that of the affirma- 
| tive Logarithm, add 1 (or ſuppoſe it to be added in your Mind) 

to the fractional Part of the Binomial ; and then ſubtract the de- 
cimal Part of the Affirmative from that Sum, and (to continue 
the Equality) add 1 to the Characteriſtick of the affirmative 
Logarithm ; then the Sum of this, and the Characteriſtic of the 
Bivomial, will, with the negative Sign, be the Characteriſlic 
of the required Logarithm. See Ex. Art. 44, 45 

30. Caje . When a linemial Logarithm is to be ſubtracted 
irom a Binomial, if the redional Part of that to be ſubtraQcd is 
| leſs than that from which it is to be taken, find the Difference 
of their fractional Parts, to which prefix the Difference of their 
Characteriſticks, with the afirmarive Sign, if the CharaGeriſtic 
| of the Logarithm to be ſubtracted is the greater; otherwiſe it 

muſt have a negative Sign. But if the jradiozal Part of the 

| Logarithm 


14 How to ſubtract Logaritbhms. 


Logarithm to be ſubtracted be greater than the actional Part 
of the Logarithm from which it is to be taken, add 1 to the 
fractional Fart of this laſt, that Subtraction may be made; and 
then, (to continue the Equality,) add 1 to the Characteriſtick 
of the Minorand, which Characteriſtick being negative, is done 
by Subtraction; wiz. ſubtract 1 from the Characteriſtick of the 
Minorand; then the Difference between the Characteriſtick of 
the Minorand ſo diminiſhed, and the CharaQteriſtick of the 
Subducend, will give the required Characteriſtick; which mul 
be affirmative, if the Characteriſtick of the Minorand, after be. 
ing diminiſhed as above, is greater than that of the Subducend ; 
otherwiſe, negative. See Ex. Art. 46, 47. 

J1. Before we proceed to the Application of Logarithms, it 
will be proper to ſhew how to find the natural Number anſwer. 
ing to any given Logarithm, by Help of a Table of Loga- 
rithms. And as this is only the Reverie of Article 22, it will 
be ſufficient to hint, 1, 'That the Index, or Characteriſtick, 
of the Logarithm, if affirmative, will ſhew how many integral 
Places are in the required Number: And, if negative, in what 
Place of Decimals the firſt or ſignificant Figure ſtands. Hence, 
if the Logarithm can be found in the 'Table, the anſwering 
Number is found by a bare Inſpection: But if it cannot be ex- 
actly found, find the next greater and next leſſer, and ſay, As 
the Difference of theſe two Logarithms : the Difference of the 
aniwering Numbers :: the Difference between the given Loga- 
ritam and the neareſt tabular Logarithm : a fourth Number ; 
which added to, or ſubtracted from, the natural Number anſ- 
wering to the neareſt tabular Logarithm, (according as that 
Logarithm was leſs or greater than the given one,) wall give 
the required Number very near the Truth. 

Example. Let it be required to find the natural Number anſ- 
wering to the Logarithm 5.564882. 

This in the Tables gives the next leſſer and greater Lo- 


; 5+504784 The anſwering { 367100 
garithms, | 5.504993 Numbers 367200 
Their Dif. .ooo119 100 


—ͤ — — — — 


And 5.564903 — 5.564882 = .ooooz1. Hence, As .0c0119 
: 10O :: .000021 ; Or, which is the ſame in Effect, As 119; 
100 :: 21: 17.7 nearly, Hence, 367200 — 17.7 =307 18243» 
neariy = the required Number. | 


CHAP. 


ad 


th 


— 
8 


& — 


Ss WW © 53-YY 


Multiplicatign by Logarithms, 15 


5 
50 Cs 


a Fad LOS 1 
* 8 N 6 
1 
RB 
MULTIPLICATION 4y LOGARITHMS. 

32. E now come to ſhew the Application of Logarithms, 

having explained their Theory at large; and the firſt 


Thing is to perform Multiplication by them; which is done by 
adding the Logarithms of the Factors together, as directed in 


Art. 23, 24, and 25. 
33. Example 1. Multiply 14 by 4. 


14 is 1. 1461280 
Log. of f 4 is o. 60206 


—ͤ 


Their Sum, by Art. 23, is 1.748 1880 which anſwers in 


the Table to 56, the required product. 


34+ Example 2. Multiply 203 by o. 25. 
Log. of 203 is 2. 307 4960 
Add, by Art. 25. 


Log. of o. 25 is 1. 3979400 


This Log. 1.705 4260 anſwers in the Table to 50.75. 


35. Example 3. Multiply 7.677 by 3. 
To Log. of 7.677 = 0.8851915 
Add Log. of 5 = 0.6989700 


From 1.584161 
Subtract Log. of 8 = o. ooo 


Gives Log. of 4.798 nearly, 0.68 10716 
Or thus: Put 5 into Decimals, v. 3 . 625. 
Then, Log. 7.677 O. 8851915 


Log. of 3 or of . 625 = 1.79;8%00 


— 


Their Sum, by Art. 25, is o. 68 10715 as above. 


2 


1 


36. Zxample 


16 Multiplication by Logarithnis. 
36. Example 4. Multiply 0.55 by .023. 


Log. .55 is 1.7403627 
> Add, by Art. 24. 


Log. 023 is 2.3617278 


— 


Log. of . o1265 2. 1020909 


1 _— A 


— — 


a 37. Example 5. Multiply 80 by .003. 


Log. 80 = 1.9030894 
5 Add, by Art. 25. 
Log. .003 = 3. 47712123 


Log. .24 = 1.3802116 


38. Example 6. Multiply 10, 80, 72, 5, 4, and . 12, to- 
gether, — This is done by Art. 25. 


Log. 10 = 1.0000000 | Log. . 5 = 1.698970 
Log. 80 = 1. 9030894] Log. . 4 = 1.6020600 


Log. 71 2 18573325 Log. . 12 = 15791812 


To 4.76042 19 


CR 2.3802112 
Add 2.3802112 — emmenmnmnnnn 


This Log. 3. 1406331 anſwers in the Table to 1 382.4 
— { nearly, 


BOY * 5 . 4 + 7 AS 


CHAP. II. 
DIVISION / LOGARITHMS. 


39. HE Subtraction of Logarithms anſwering to the Di- 

viſion of the natural Numbers; from the Logarithm 
of the Dividend ſubtract the Logarithm of the Diviſor, by the 
Rules in Art. 26, 27, 28, 29, 30; and the Remainder wall be 
the Logarithm of the required Quotient. 


40. Example 


Diviſion by Logarithms. 17 


40. Example 1. Divide 56 by 4. See Art. 26. 
| Log. 56 = 1.74818295 
Log. 4 = 0.6020600 


Log. 14 = 1.1461 280 


—̃ — — 


41. Example 2: Divide 5 by 8. See Art. 27. 
Log. 5 = o. 6989700 
Log. 8 = 0.9030y00 


— — — — ——— 


Log. . 625 1. 7958800 


2. Example 3. Divide 50.75 by. 25. See Art. 28. 
8 Logarithm of 50.75 = 1.7054360 


Log. of. 25 = 1.3979400 7 


Log. of 203 = 2.30749 x 


43. Example 4. Divide 4.718 by. 625. See Art. 28. 
Log. of 4.718 = 0.6737579 | 


Log. of .625 = 1.7958800 


Log. of 7.549 fere = 0.8778779 


44+ Example 5. Divide 75 by 100. See Art. 29. 


Log. of .75 = 1-8750613 | 
Log. of 100 = 2.0000000 | 
Log. of .oo75 = 3-8750613 | 1 


45. Example 6. Divide . 24. by 80. See Art. 29, 


Log. of. 24 = 1.3802112 ; = 
Log. of 80 = 1.9030900 = 


Log. of .003 = 3-4771212 


— ,_—_—_—_ 


— 2 


d 46. Example 


18 The Golden Rule by Logarithms. 
| 45. Example 7. Divide .75 by. 25. See Art. 30. 
Log. of 75 = 18750613 
Log. of .25 = 1.3979400 


— 


Log. of 3 = 0.4771213 


47. Example 8. Divide . 01265 by .z5. See Art. zo. 
Log. of. 1265 = 2.1020905 


Log. of . 55 = 1.7403627 


CTY 


Log. of .023 = 2.3615278 


* * - » "70 : 2 2 E 


HAF. N. 


e GOLDEN RULE 4y LOGARITHMS. 


48. Ke" the Nature of the Golden Rule, and Logarithms, 
we have this Rule. Add the Logarithms of the ſe- 
cond and third Terms together; from their Sum fubtract the 
Logarithm of the firſt Term ; and the Remainder will be the 
Logarithm of the fourth, or required Term. 
49. Soppoſe, in the Rule of Three Direct, we have this 
Stativg, As 4.1 : 5 :: 65 : a fourth Number. 
| To the Log. of 5 = 0.6989700 
Add the Log. of 65 = 1.8129134 


— — 


| 2.511883 
Subtract Log. of 4.1 = 0:0127858 


Log. of 79.26 neafly 1.8990996 


50. If, from the Logarithm of 1, be ſubtracted the Loga- 
rithm of any Number, the Remainder is called the Arithmrticas 
Complement of that Logarithm. Hence, the Arithmetical Com- 
ſplemest of the Logarithm of any Number is equal to the Loga- 


rithm of the Quotient of 1 divided by that Number. 
51. When 


Involution by Logarithms. 19 


51. When it is required to divide one Number by another, 
it is in Effect the ſame, if we divide 1 by the Diviſor, and 
multiply that Quotient by the given Dividend. (For 
2 5 X a.) Which is done by Logarithms, by adding 
m 
the Logarithm of the Dividend to the Arithmetical Complement 
of the Logarithm of the Diviſor, 

52. Hence, the Operation of the Example in Art. 49. may 
ſtand thus : 


From Log. of 1 = 0.0000000 
Subtra Log. of 4.1 = 0.6127839g __ 
— 13872161 
— o. 6989700 
Gives Aritb. Comp. = 1.3872161 1.8129134 


Gives Log. as aboye 1. 89 900 


HA. V, 
INVOLUTION V LOGARITHMS. 


53. Kt i raiſe any Number to a given Power by Logarithms, 
multiply the Logarithm of the Root by the Index of 
the given Power. Thus, for Inſtance, if we are to ſquare any 
Number, we muſt multiply its Logarithm by 2 ; if to cube a 
Number, by 3, &c. and the Product (by Art. 4.) will be the 
Logarithm of the required Power, | 
Note, If the Root be a Fraction, its Logarithm will be a Bi- 
nomial ; in ſuch Caſe, the Carriage from the decimal Part in 
multiplying being affirmative, and the Product of the Cha- 
racteriſtick negative, the Carriage muſt be ſubtracted from that 
negative Product, for the required negative Characteriſtick. 


54+ Example 1. What is the Square of 15 ? 
Log. of 15 = 1.1760g13 
| 2 


—— 


| Log. of 225 = 2.3521826 


de 55+ Exanple 


26 Evolution by Logarithms, 
55, Example 2, Cube .55. 


Log. of .55 = 1.7403627 
| 3 


_— 


Log. of . 166375 = 1.2210881 


— 


<A 


CHAP. VI. 


EVOLUTION 4y LOGARITHMS. 


56. 'F$ extract the Root of any Number, divide the Loga- 
| rithm of the Power by its Index, wiz. to extract the 
Square-Root, divide by 2 ; for the Cube-Root, by 3, &c. 
See Art. 5. 

Note. In extracting the Root of a fractional Number, if we 
cannot divide the Characteriſtick exactly by the Index of the 
Power, it will be proper to increaſe the Characteriſtick by the 
Addition of iuch a Number as will make it exactly diviſible by 
the Index of the Power, and then divide the Characteriſtick ſa 


J 


. 


57. Example 1. Extract the Square-Raot of 225. 
Log. of 225 is 2.352185 
| 3 e Hl 


Log, of 15 = 1. 1760912 


53. Example 2. Extract the Cube - Root of . 166373 
Log. of . 166375 = 12210881 


4 — — 


Log. of . 35 = 1.740627 


3 
» — 


Fellowſhip by Logarithms, 21 
Here, to the CharaReriſtick 1, to make it diviſible by 3, we 


add 2, and the Sum is 3; 2 of which is 1, for the Character- 
iſtick of the Log. of the Root; Then, to continue the Equality, 
we add 2 to the Place of Tenths, which makes how many 
Times 3 In 2.2, which gives .7; &c. 


* . FE . - _ | Se =. 1 
an_—_— 


CHAP. VII, 
The APPLICATION of LOGARITHMS te FELLOWSHIP. 


59. S in Fellowſhip, the firſt and ſecond Terms continue 
A the ſame in all the Statings: From the Logarithm of 
the ſecond Term ſubtract the Logarithm of the firſt Term, and 
call the Remainder the reſerved Logarithm : Then, this reſerved 
Logarithm being added to the Logarithm of the third Term of 
each reſpective Stating, will give the Logarithm of the fourth, 
or required Term of that Stating. The Reaſon of this is ma- 
nifeſt from the Nature of Logarithms and Chap, VIII. of the 
Second of the Mathematical EJays. 


60. Example. Suppoſe 4 Men, A, B, C, and D, trade in 
Company; A put in gol. B, 16/. C, 25. and D, 18). 10g, 
they gained 20/, 15s, What was each Man's Part ? 

Here the Statings would be, 
4. 4. 1. 
As 109. 5 : 20.75 :: 50: A's Share, 
109.5 : 20.5 :: 16: B's Share, 
109.5: 20.75 :: 25 : C's Share. 
og. : 20.75 :: 18.5 : D's Share, 
The Operation by Logarithms will be as follows, 
From Log. of C. 20.75 = 1.3170181 
Subtract Log. of 109.5 = 2.0394141 


— 


'The Reſerved Log. = 1.2776040 


—588i—8—ůů 


Log. 50 = 16989700 
Reſerved Log. = 1. 2776040 


Sum = 0.9765740 the Log. of A's 
Part, anſwering in the Table to 9.47485). b 


Log. 


— — — 


22 Simple Intereſt by Logarithms, 


Log. of 16 = 1.2041200 


Reſerved Log. = 1.2776040 


Log. of B's = 0.4617249 anſwers to 64 


LL. 3.031952, | 
Log. 25 = 1.397940 | 


| 12 of 
4 Reſerved Log. = 1.2776040 
1 Log. of C's Part = 0.675 5440 9 to 
1 | +7 3/425" 
4 Log. of 18.5 = 1.267171) 
| Reſerved Log. = 1.2776040 
1 Log. of D's Part = ©. 5447757 anſwering 
li | [to 3-5056945. i 
[ | — — — — m 
"1 h 8 
SIMPLE INTEREST Y LOGARITHMS. r 
| c 
i 51. DD the Logarithms of the Principal, Time, and t 
I Rate, together; the Sum will be the Logarithm of 
. the Intereſt. ! 
| 62. Example. What is the Intereſt of 410/. 10. for 1 Year 
and 40 Days, at 5/. per Cent. per Annum ? | 
The Time 1 Year 40 Days = 4%, = . Hence, | 


The Logarithm of the Time is 0.0451622 
Log. of 410.5 the Principal 2.6133132 


Log. of. op the Rate = 2.69897c0 


| | Sum = 1.3574454 the Log. of 
22.7743. = 220. 15s. 519. for the Intereſt, Q. E. I. 


CHAP, IX. 
COMPOUND INTEREST „ LOGARITHMS. 


63. HE Rur g. Multiply the Logarithm of the Amount 
of 11. for one Year, by the Time, and to the r 
: a 


A—_—_— — — — 
b » IF _ . 


Compound Intereſt by Logarithms, 23 
add the Logarithm of the Principal; the Sum will be the Loga- 
rithm of the Amount. 


0 64. Example. What will 2100. 7s. 64. amount to in 3 Years, \ 
h at 5 per Cent. per Annum ? | 
Solution. Firſt, 2 100. 75. 6d. = 210.375]. and the Amount 
of 11. for one Year at 5 per Cent. per Annum = 1.05. , 
Hence multiply the Log. of 1.05 = 0.021 1893 
Ey the Time = 3 
0.06356 
Add Log. of 210.375 = e $14 


Log. of Amount 243.535 3/. = 2.3868619 


1g Hence the Amount is 243/. 10s. 83d nearly, 

65. Scholium. Mr. Townley, and a few others, inſtead of the 
negatire Characteriſticks, write their arithmetical Comple- 
* ments: Thus, for the Log. of . or, they would write 


8 6989700, and for the Log. of .cog place down 7.6989700, 

Sc. And the Rule for adding ſuch Logarithms is, If your Chas 

racteriſticks be negative, add them as in common Arithmetick, 

only noting, that if the Sum of the CharaQteriſticks be leſs 
d than 10, add 10; if juſt 10, add Unity; if more than 10, cat 
1 10 away; the Sum, or Remainder, will be the required Loga- 
rithm, according to their Method. But if the CharaQteriſticks 
are of different Names, vx. one affirmative, the other nega- 
tive, add them together as in common Addition; but if the 
Sum be 10, or more than 10, caſt 10 away, the Remainder will 
be affirmative ; but if leſs than 10, negative. 


66. Example. Multiply 203 by 25. 
Log. of 203 1s 2.3074960 


Their Log. of 25 is 9:3979400- 


Log. of 50.75 = 1. 7054360 


y 67. As for Diviſion by Logarithms, they perform it after this 
Manner, wiz. If one or both be negative, and the Character- 
iſtick of the Dividend is leaſt, add 10 to it; but if the Charac- 
teriſtick ot the Divicend be the greater, ſubtract as uſual, and 
the Characteriſtick of the Remainder in the firſt Cale will be 

| alirmative ; in the latter, negative. 


68. Examp::. 


24 Of My. Townley's Indices; 
68. Example. Divide. 01265 by 85. 
Log. of . 01265 with their Index 8.102090g 
Log. of. 55 with their Index 9.7 403627 


Log, of .023 with their Index F. 3617278 


— 


69. Though this laſt Method, of writin Z the arithmetical Com- 
plements for the negative Characteriſticks, may be ſomething 
ſooner learnt by ſuch Perſons as are ignorant of the Nature of 
affirmative and negative Quantities, yet we would recommend 
the former Method as the moſt rational, and worthy the Notice 
of the more ingenious Reader. 


70. Thus much is ſuſſicient at preſent to illuſtrate the Theory 
and Application of Logarithms : More expeditions Ways of 
conſtructing Tables, Cc. are intended to be ſhewn at ſome other 
Opportunity. A!l that Room will permit us to add, before we 
conclude this Eſſay, is, 


A COMPENDIOUS HISTORY OF LOGARITHMS. 


71. The Honour of the Invention of Logarithms is ſuffici- 
ently ſecured to Lord John Neper, Baron of Merchiſton in Scot- 
land, by the Teſtimony of all who have treated on the Subject, 
as well Foreigners as Inhabitants of Britain. 

In 1614, Lord Aeper publiſhed, at Edinburgh, a Canon of 
Logarithms, in which o is taken for the Logarithm of Radius, 
(or 10060000000,) and the Logarithms of the Sines are affir- 
mative. 

This Book, being in Latin, was tranſlated into Engliſb by 
Mr. Edward right, and, after his Deceaſe, publiſhed by his 
Son, Samuel, in the Year 1716. 

The great Uſefulneſs of Logarichms was immediately per- 
ceived by the learned Mathematicians of the Age, as the In- 
vention of them 1s univerſally allowed to be one of the moſ 
uſeful Diſcoveries in the Art of Numbers: for, as Dr. Keil 


juſtly obſerves, ©* It is by their Means that Numbers almoſt 


infinite, and ſuch as are otherwiſe impracticable, are ma- 
„ naged with Eaſe and Expedition. By their Aſſiſtance, the 
„ Mariner ſteers his Veſſel, the Geometrician inveſtigates the 
«© Nature of the higher Curves, the Aſtronomer determines 
the Places of the Stars, and the Philoſopher accounts oe 

. | „ other 


„ 


2 * 


i 
1 
e 


3 
r 
T 


Compendious Hiſtory of Logarithms. 25 
1 Sther Phænomena of Nature; and, laſtly, the Uſurer com- 
n putes the Intereſt of his Money.“ 

Soon after their Diſcovery, Mr. Briggs (then Profeſſor of 
Geometry at Greſan College, London) was ſo charmed with 
the noble Invention, that he went twice to Scotland, on Purpoſe 
to conſult with the Inventor, and afliſt him in perfecting his 
Deſign : at their firſt Conſultation, they agreed to change the 
Form of the Logarithms into a more compendious one; in 
which the Logarithm of 1 was to be o, and 1000000, Er, the 
Logarithm of Radius. f 

In the Year 1619, the noble Inventor being dead, his Son, 
Lord Robert, publiſhed the Conſtruction of the admirable Canon; 
in the Preface of which, he takes Occaſion to mention the 
great Friendſhip his Father had for Mr. Briggs, on whom now 
the whole Labour of calculating Tables entirely devolved. 
This did not diſcourage Mr. Briggs ; for, applying himſelf to 
the Work with a Degree of Induttry that ſurprized the whole 
World, he publiſhed, at London, in 1624, his Arithmetica Lo- 
garithmica, agreeable to the new Form, for the firſt 26 Chiliads 
of Logarithms, (or from 1 to 20-00,) and for 11 Chiliads 
more, viz. from goooo to 101000, calculated to 14 Places of 
Figures. He alſo gave Directions for ſupplying the interme- 
diate Chiliads. 

In the Year 1627, Adrian Flac (or Flack) publiſhed a Canon 
to 10 Places of Figures, in which the intermediate Chiliads 
were filled up, according to Mr. Brigps's Directions. 

In 1633, Vlac publiſhed Briggs's Logarithms of Sines and 


| Tangents to every 10 Seconds, and of Numbers from 1 to 


20000. 

In the Year 1658, Dr. John Newton cpa at London, 
Trigonometria Britannia, in which are Tables of Logarithms of 
Numbers from 1 to 100000, and alſo the Logarith:ns of Sines 
and Tangents to 2 Parts of every Degree. | 

Sheravin's Tables, containing the Logarithms taken from 
Dr. John Newton, and Gardener's, containing the Logarithms 
of Numbers taken alſo from Dr. John Newton, and the Loga- 
rithms of Sines and Tangents to every 10 Seconds, taken from 
Vac's Canon Magnus, are now much eſteemed. 

We muſt not, however, forget Mr. Dodſon's Anlilogaritbmit 
Canon, publiſhed in the Year 1742; being a able of Numbers, 
conſiſting of 11 Places of Figures, correſponding to all Loga- 
rithms under 1000co z which indeed is a laborious and inge- 
nious Work, | 

Other Authors, who have laboured in compleating Tables, 
Sc. are, in the Year 1619, Speidel/ and Ur/inus ; in 1520, Gun- 
ter; in 1624, Wingate ; in 1625, Minus again, and Kep.er; in 

e 1626, 


— — * — — 
_ a 


26 Compendious Hiſtory of Logarithms. 


1626, Henrion; in 1627, Speidell, and Kepler again in his Ry- 
dolphine Tables; alſo ſome Time before this, Gellibrand, as in 
Vlac's Trigonometria Artificialis, publiſhed this Year. (The expla- 
natory Part is an Abridgement of Gell;brand's Trigonometry.) 
In the Year 1631, Norwood 3 in 1632, Cavalerius; in 1633, 
Rowe ; in 1634, Frobenius; in 1670, Caramuel : Since which 
Time, Dr. Gregory, Mercator, Sir 1ſaac Newton, Dr. Halley, 
William Jones, Eſq. and a Number of other learned Men, have 
publiſhed infinite converging Series, for computing Logarithms 
more expeditiouſly ; ſome of which we may have Occaſion to 
explain hereafter. 

It would be endleſs to give a Liſt of all the Authors who have 
touched on Logarithms ; becauſe almoſt all who have treated 
on Trigonometry, on Navigation, Oc. have given compen- 
dious Tables of Logarithms, Cc. 


A COMPENDIUM 


n 


RE SPRANG a RAPS: NE AS AAR i AAR 2/2 
A U o NIE NIE AS 


Theorem 1. S the Baſe of any right-angled Triangle : the 
Perpendicular :: Radius or Tangent of 45 De- 
grees : the Tangent of the Angle at the Baſe. 

Theorem 2. As the Sine of any Angle: its oppoſite Side :: 
the Sine of any other Angle :: to its oppoſite Side. 

Thecrem 3. As the Sum of any two Sides: their Difference :: 
the Tangent of Half the Sum of the two oppoſite Angles : the 
Tangent of Half their Difference, 

Thecrem 4. The three Angles of any Plane Triangle are = 
180 Degrees ; therefore any Angle being ſubtracted from 180 
Degrees, the Remainder will be the Sum of the other two 
Angles, 

Theorem 5. Half the Difference of any two Angles, added to 
Half the Sum of the ſame Angles, will give the greater of the 
Angles; but, ſubtracted, will give the leſſer Angle. 5 

Theorem 6. In any Plane Triangle, as the Baſe (or longeſt 
Side): the Sum of the other two Sides :: their Difference: 
the Difference of the Segments of the Baſe; which being ſub- 
trated from the Baſe, and the Kemainder divided by 2, the 
Quotient will give the ort Segment; and the Difference of the 
Segments being added to the ſhort Segment, the Sum will be 
the lang Segucut. Note, the Segments are made by letting fall 
a Perpendicular from the Angle oppoſite the Baſe, and ſo di- 
viding the oblique Triangle into two right-angled Triangles. 

Theſe Theorems folve all the common Cafes of Plane Tri- 
angles, both right and oblique. 


e 2 4A COMPENDIUM 


* 
— = — 2 — —— _ 2 — — 
” — — _ — —— — 6 —— a. am we. ——_ 


— = - 
— — — _— 


— 


So aac —— 


— — 


Dr 


® 
: 
1 
: 

t 
11 
Bn = 
. 


(88) 


EEE RR ' —— * — — 
4 COMPENDIUM F RIGHT-ANGLED SPHERICAL 
TRIANGLES, 


HE Sides about the Right-Angle are called Legs ; and 
the Side oppoſjte, the Hypothenuſe. 

All the common Caſes of right-angled ſpherical "Triangles 
may be ſolved by Lord Neper's general Rule; wiz. The Pro- 
duct of the Sine of the middle Part and Radius is = the Product 
of the Tangents of the adjacent Extremes, or Coſines of the 
oppoſite Extremes. 

N. B. The Hypothenuſe, Legs, and Angles at the Hypo- 
thenuſe, are called Parts; and any two of theſe Parts being 
given, the third may be found. 

If the two Parts given, and that required, are not ſeparated 
from each other by any unknown Part, then that Part which is 
in the Middle 1s called the Middle Part, and the two others, 
Extremes Conjunck. But if they are ſeparated from each other by 
an unknown Part, then that Part which is ſeparated is called 
the Middle Part, and the other two, Extremes 22 
The Hypothenuſe and Angles are always to be looked on as 
Complements in themſelves ; and therefore, when the Hypathe- 
pzu/e or an Angle is the Middle Part, it will be, in the Canon, 
S. C. or Co/ine : When the Hypotheny/e or an Angle is an adia- 
cent Extreme, it will be T angent-Complement ; and when an oppo- 
fite Extreme, it will be Sine (the Coſine of a Complement being 
a Sine), | 
* — the general Rule it alſo follows, that when one Extreme 
is required, the other muſt be the firſt Term in the Canon: But 
when the Middle Part is required, Radius muſt be the firſt 

erm. : 


r 


— _— = —— A — 


8 «- * "or . © 8 -* - 2 * o £ + bs 4 * > 


4 COMPENDIUM of OBLIQUE SPHERICAL 
| "Hh TRIANGLES: 2; 


Theorem I. TY all ſpherical Triangles, the Sines of the Sides 
are in direct Proportion as the Sines of their op- 
polite Angles ; et contra. 


' Theorem 2. The Coſines of the Baſes (made by letting fall a 


' Perpendicular) are directly proportional to the Coſines of the 


Hypothenuſes; er contra. 
N Theorem 


! 


Compendium of obligne ſpherical Triangles. 29 

Theorem 3. The Tangents of the Sides or Hypothenuſes are 
reciprocally proportional to the Coſines of the Angles at the Ver- 
8 7 oo SIS 

Or, the Tang. Co. of the Sides or Hypothenuſes are direciy 
proportional to the Coſines of the Angles at the Vertex; er 
contra. . We ' 8h I: + EL hit 

Theorem 4. The Coſines of the Angles at the Baſe are directly 
proportional te the Sines of the les at the Vertex; et contra. 

7 heorem F. The Sines of the Baſes are ＋ „ propor- 
tional to the Tangents of the Angles at the Baſe; et contra. 
Or, the Sines of the Bafes are arrrctiy proportional to the Co- 
tangents of the ſame Angles ; et contra. | WEEN 

Note, Direct Proportion is from one Thing to another, in 


the 3 Triangle; and — 6 BE rp n is 


from one Thing in one right-angled Triangle, to another Thing 
in the other right-angled Triangle. on ie | 

The Perpendicular muſt always be let fall from the End of a 
given Side, and oppoſite to ſome given Angle. Se 

If the Angles, at the Baſe of the oblique Triangle, are both 
acute or both obtuſe, the Perpendicular will fall within the Baſe : 
But, if one is acute and the other obtuſe, without the Triangle ; 
and then the Baſe muſt be produced to meet it. 4 

Theſe Hints are ſufficient to enable thoſe, who have already 
learnt the Doctrine of ſpherical Triangles, to folve ten Caſes: 
= two remaining Caſes may be ſolved by the following Di- 
rections. | 

Cafe 11. Given the three Sides, to find an Angle. Add the 
three Sides together, and, from their Half- Sum, ſubtract the 
Side oppoſite the required Angle, and call the Remainder the 
Exceſs, Then, to the arithmetical Complement of the Loga- 
rithm-Sines of the Sides, containing the required Angle, add 
the Log. Sine of the Half-Sum and the Log. Sine of the Exceſs. 
Then will the Half-Sum of theſe four Logarithms be the Loga- 
rithm-Coſine of Half the required Angle. 

For the Navigation-Scale, the following Canons are beſt 
adapted, wiz. As Radius: S. of one of the containing Sides, 
:: the Sine of the other containing Side : fourth Sine, Then, 
as that fourth Sine : the Sine of the Half-Sum, (found as above- 
directed,) :: the Sine of the Exceſs : contained Angle on the 
Line of Verſed-Sines. 

Caſe 12, Given the three Angles, to find a Side. Subtract 
the greater Angle, adjacent to the required Side, from 180 De- 
grees, to find its Supplement; with which and the other two 
Angles, being conſidered as Sides, proceed as in the 11th Caſe, 
and you will find a Number of Degrees equal to Half the re- 
quired Side, 


i OT TRL NAVIGATION 


| 
| 
| 
i 


FHIHFFHHHFFFFFHHFHPHHN4GGG 
NAVIGATION 


A O03 TO. 3 


EPITOMIZE D. 


” * unn. 


1. TT being intended, in this Volume, to give a more com- 

T plete Set of Tables, for the ſeveral Purpoſes of Naviga- 
tion, than has been hitherto publiſhed, I would here gladly 
treat of Navigation at large; but, for Want of Room, that 
Deſign muſt be referred to another Volume; which, if En- 
couragement be given, is intended to be publiſhed as ſoon as 
conveniently may be. At. preſent, all that Room will permit 
is to give the moſt uſeful Rules in a ſummary Manner, which 
may ſerve as a Synopſis, or Memorial-Book, to the young Na- 
vigator, | | 

2. The grand Object of Navigation is to conduct a Ship 
from one Port to another : In Order to which, the Mariner 
muſt at all Times be able to find the Courſe and Diſtance from 
one Place to another, and to determine the Place of the Ship 
every Day ; or, in other Words, to keep a Journal ; which 1s 
effected by the following Rules. | 8 


Jo Problem 1. T+ find the Courſe aud Diſtance from one Place to 


another. 


_ iſt, Take, from a good Chart, or out of Table XXXVIII. 
the Latitudes and Longitudes of the two Places. 

2dly. If the Lend are both North, or both South, ſub- 
tract; but, if one be North, and the other South, add them to- 


gether, for the Difference of Latitude; which Degrees bring t 

into dea - Miles, by e by 60. F 
zdly. If the Longitudes be both Eaſt, or both Weſt, ſub- 

tract ; but, if one is Eaft, and the other Weſt, add them, for a 

the * x Longitude ; which alſo bring into Miles, by multiplying 

by 60. | ; 


4thly. Then, by the Navigation-Scale which I have im- 
proved, or by Table X. find the meridional Miles (or hed 


* N. B. It is common, amongſt Navigators, to write x Lat. or x Long, for ( 
Difference of Latitude, or Difference of Longltude, 


Navigation epitomized, 31 


for each Latitude; and if the Latitudes are both North, or 
both South, ſubtract; but if one is North, and the other 
South, add the meridional Miles, for the meridional x Lati- 
tude. 

cthly. Then, on the nn I or by Logarithms, 
work, As meridicnal x Latitude: the x Longitude :: the x of 
Latitude : the Departure, | 

6thly. Then, as x Latitude : the Departure :: Tangent of 
4; Degrees: the Tangent of the Courſe. | 

7thly, and laſtly, as the Sine of the Conrſe : the Departure 
: Radius go: the Diſtance ; or, as Sine-Complement of the 
Courſe : the x Latitude :: Radius, or Sine of go Degrees : 
the Diſtance. 

„N. B. Theſe Canons may be worked in two Minutes, on 
the Navigation-Scale, and to a ſufficient Degree of Exactneſs: 
and I would here, once for all, adviſe the young Student to 
make himſelf well acquainted with working Canons on the 


Scale, it being very expeditious, and ſufficiently exact for moſt 


Purpoſes of Navigation. 


5- At Sea, the Perſon who has the Charge of the Watch | 
writes, on a Board, called a Log-Board, the ſeveral Courſes [ 


and Diſtances ſailed each Day; as alſo the Wind: But one 1 
very material Thing is generally omitted and left to every one N 
to gueſs for himſelf; that is, the Lee-Way ; as if a Perſon, who 1 
is aſleep in his Cabbin, can be as good a judge of the Lee- 
Way, made by the Ship, as the Perſon who is on the Deck, 
and has an Opportunity of obſerving it. 

6. Different Ships will make different Lee-Way, under the 
ſame Wind and Sail; and therefore no certain Rules can be 
laid down: However, to aſſiſt the young Navigator, the fol- 1 
lowing Rules have been given in ſeveral Engliþ Treatiſes : 1 

| 
| 


They were preſented to Mr. William Jones by Mr. John Buckler, 
and publiſhed about the Year 1700. 

Rule 1. When a Ship is cloſe hauled, has al! her Sails ſet, 
the Water ſmooth, and a moderate Gale of Wind, the is fup- vi 
poſed to make little or 0 Lee-Way. 4 

zd. When it blows ſo freſh, that the /mall Sails are taken in, 1 
allow 1 Point. 

3d. When the Top-/ail muſt be c/o/2-reefed, allow 2 Points. 

4th. When oze Tep-/ail muſt be handed, allow 24 Points. | 

gth. When 42th Top-Sails are to be talen in, allow 32 Points. 3 

6th. When the Fore-Courſe is handed, allow 4 Points. $ 

7th. When zrying under the Main-ſail only, allow 5 Points. | 
a 8th. When both Main and Fore Courſes are taken in, allow 
Paints, 


yth. When Me zries a Hull, or all Sails handed, allow 7 Points. 
| When 


32 Navigation epitomized. 


When the Wind has blown hard in either Quarter, and ſhifts 
acroſs the Meridian into the next Quarter, the Lee-Way will be 
leſſened. 

But, in all the Caſes, Reſpect muſt be had to the Roughneſ; 
of the Sea, with the Trim of the Ship, which muſt be left to 
the Judgment of the Mariner. 

A cheap Inſtrument may eaſily be conſtructed for obſervin 
the Lee-Way; but, for Want of Room, its Deſcription key 
be omitted in this Place, but is intended to be given in the 
Elements of Navigation. 

7. The Courſes and Diſtances on the Log-board muſt be cor. 
reed by the Lee-Way, and Variation of the Compaſs. 

8, If there is no Azimuth-Compaſs on-Board the Ship, the 
Variation had beſt be taken from Table XXXVI. but if it can 
be convenieutly done, it will be proper to find the Variation of 
the Compaſs by an Obſervation of an Amplitude or Azimuth. 


9. Problem 2. To find the Variation of the Compaſs by an Am- 
| plitude, 


Set the Sun at riſing or ſetting by the Compaſs ; then the Dif- 
ference between this Bearing and the Amplitude, found by 
Table XII. will give the Variation, 

10. To explain the Method of finding the Variation of the 
Compaſs by an Azimuth, would take up more Room than we 
can conveniently ſpare; but may be found, if required, in al- 
moſt every Book on Navigation. 

11. I have generally found the Variation and Tide Inflrumeit 
improved (which I publiſhed ſome Time ſince, Price 2s.) of 
great Uſe, in explaining the Nature of theſe Things, to young 
Students in Navigation, 


12. Problem 3. The Courſe and Diſtance being given, to find the 
x Latitude and Departure, 


The Canons are, 1ſt, as Radius 90: the Diſtance :: 8. 
Courſe : the Departure. 

24ly, As Radius: the Diſtance :: 8. C. Courſe : the x La- 
titude. 

Or againſt the Courſe and Diſtance, in Table VII. may be 
faund, 1n their proper Columns, the x Latitude and Departure. 

13. By this Problem the x Latitude and Departure mult be 
found on every Courſe ſailed in a Day, and collected into a 
Table, divided into proper Columns of N. 8. E. W. Then 
add up the reſpective Columns, and find the Difference between 
the North and Scvth Columns, and alſo between the Eaſt and Weſt 
Columns, to ſee whether the Ship has, on the Whole, that Day, 

gone 


v3 £ 02 


Navigation epitomixed. 33 
gone to Northward or Southward ; alſo to Eaſtward and Weſt- 


ward ; and how much; which will be the x Latitude and De- 
parture made that Day. 


14. Problem 4. Having the Latitude and Longitude, ſailed from the 
preceding Day, given, with the x Latitude and Departure, made 
the preſent Day, found by the laſt Problem, to find the Ship's 
Place, or Latitude and Longitude in. 


1. Take the x Latitude in Miles, and divide it by 60, to 
turn it into Degrees: Then, if the Latitude failed from, and 
the x Latitude, be both North, or both South, add them to- 
gether for the Latitude in; but if one is North, and the other 
South, their Difference will be the Latitude in, and of the 
ſame Name as the greater Quantity. 

2. To find the x Longitude : 

Add the Latitude {ailed from, and Latitude in, together; 
and if they are both North or both South, take Half the Sum, 
for a middle Latitude: But if one is North and the other South, 
take 4 for a midule Latitude. 

Then the Cancn is, as S. C. middle Latitude: the Depar- 
ture :: Radius go? : the x Longitude, 

Or the x Longitude may be found by Inſpection of Table VIII. 
for, taking the Complement of middle Latitude, as a Courſe, 
againſt the Departure in its proper Column, in the Column of 
Diſtance will be the x Longitude in Miles; which bring into 
Degrees, by dividing by 60. 

Then, if the Longitude failed from, and x Longitude, be 
both Eaſt or both Weſt, add them for the Longitude in: But 
if one is Eaſt and the other Weſt, ſubtract one from the other, 
and the Remainder will be the Longitude in; and of the ſame 
Name as the greater Quantity. 

15. The preceding Rules are ſufficient to keep a Journal by 
what is called Dead-Reckoning ; but, as it frequently hap- 
pens that the Latitude can be more accurately determined by 
taking the Meridian Altitude of the Sun or Star, it will be ne- 
ceſſary to give the following Problems. 


16, Problem 5. To find the Time of any Star's Southing. 


Rule. Subtract the Right-Aſcenſion of the Sun from the 
Right-Aſcenſion of the Star, adding 24 Hours, if Subtraction 
cannot be made without; the Remainder is the Time of the 
Star's coming on the Meridian from Noon: But if the Re- 
mainder exceeds 12 Hours, ſubtrat 12 Hours from it, and 
the Remainder is the Time from Midnight. 


f 17. 


34 Navigation epitomized. 


17. Problem 6. To find the Latitude of a Place by the Meridian mals 
Altitude of the Sun or a Star. | 2. 

This admits of ſeveral Caſes. me! 
Caſe 1. If the Sun comes to the Meridian in the S-uth, and of ih 


the Declination be North, then the Declination, added to the 
Complement cf the Meridian Altitude, or Zenith. Diſtance, 
gives the Latitude of the Place, 

18, Caje 2. If the Sun or the Star comes to the Meridian 
in the North, and hath North Declination, then ſubtract the 
Zenith-Diſtance from the Declination ; the Remainder is the 
Latitude North: But if the Declination be leſs than the Zenith- 
Diſtance, ſubtract the Declination from it, and the Remainder 
is the Latitude South. 

19. Caſe 3. If the Sun or Star comes to the Meridian in the 
North, and hath South Declination, the Declination, added to 
the Complement of the Meridian Altitude, is the Latitude 
South. 

20. Caſe 4. If the Sun or Star comes to the Meridian in the 
South, and has South Declination, ſubtract the Complement of 
Meridian Altitude from the Declination, and the Remainder is 
the Latitude South. | 


But if the Complement of Meridian Altitude exceeds the th 
Declination, ſubtract the Declination from it, and the Re- | 
mainder is the Latitude North. C: 

21. Caſe 5. If the Sun be in the Zenith, (that is, right over p 
Head,) the Declination and Latitude of the Place are equal ſt 
and of the ſame Name. 8 

22. Caſe 6. If the Sun has no Declination, the Complement P 


of Meridian Altitude is the Latitude; which is either North or 
South, according as the Ship is to the Northward or Southward 
of the Equinoctial: Or, in other Words, if the Sun comes to 
the Meridian in the South, it is North Latitude; but if in the 


North, it is South Latitude. 5 
. 23. In all the preceding Rules for finding the Latitude by 
Obſervations, it is . F that the Altitudes of the Sun are 


truly taken ; but the Altitude found by the Quadrant muſt be 

corrected as ſhewn in the Uſes of Tables XVII. XVIII. and XX. 
We ſhall conclude with the following uſeful Problem, as it 

frequently happens that the Sun is obſcured at 12 o'Clock. 


Problem 7. To find the Latitude of a Place, or Ship, at Sea, ty 
t2vo Altitudes of the Sun, taken by a Quadrant ; and the Time 
between the two Obſervation, as obſerved by a good Walch. 


Rule 1. To the Complement-Arithmetical of the Logarithm- 
Coſine of the Latitude, by Journal, add the Complement- 
| Arithmetical 


Navigation epitomized. 35 
Arithmetical of the Logarithm-Coſine of the Sun's Declina- 
tion, and call their Sum the Log. Ratio. 

N. B. Take out the Logarithms only to five Places of Deci- 
mals. from Table III. 

2. From the Natural-Sine of the greateſt Altitude, ſubtra& 
the Natural-Sine of the leaſt Altitude, and find the Logarithm 
of their Difference by Table I. and write under it, the Log. Ratio. 

z. With Half the elapſed Time, enter Table IV. and from 
the Column of Half-elapſed Time take out the Logarithm anſ- 
wering thereto, which is to be ſet down under the other two. 

4. Add thele three Logaritkms together, and with their Sum 
enter Table IV. in the Column of Mid. Time ; where havin 
found the Logarithm neareſt thereto, take out the Time cones. 
pondirg to it, and put under it, Half the elated Tim? e Subtract 
the lefer from the greater; their Difference will be the Time 
from Noon, when the preateſt Altirude was taken, 

. With this Time enter Table IV. and from the Column of 
Lig. Rifing take out the Logarithm correſponding thereto : 
From tliis Logaricthm ſubtract the Log. Ratio; the Remainder 
will be che Lo-arithm of a Natural-Number ; which being 
found in Table I. and added to the Natural-Sine of the greateſt 
Altitude, wil! give the Nat-:ral-vine of the Meridian Altitude 
of the San; which there fore may be found in Table III 

6. From the Meridian Altitude of the San, the Latitude of 
the Place of Obſervation may be obtained, by Problem 6. 

7. R. B. If the Latitude found hy the above Rules ſhould 
eilfer canſiderably from the aſlumed Latitude, it will be pro— 
per to work ag ain, making Uſe of the Latitude laſt found, in- 
ſtead of che Latitude by Account; and ſo on, until the Reſult 
gives a Latitude nearly equal to the Latitude uſed in the Com- 
putation, 


25. Cautions in chooſing the Times for making the Obſervations. 


1. The two Altitudes ſhould be always taken between Nine 
in the Morning and Three in the Afternoon; but the nearer 
they are to Noon, the better, provided there be a ſufficient In- 
terval between them. 


2. If both Altitudes are taken in the Forenoon, the Interval 


of Time between them ſhould not be much leſs than Half the 
Diſtance of the ſirſt Obſervation from Noon. 

3. If both Altitudes are taken in the Afternoon, the Interval 
between them ſliould not be much leſs than the Diſtance of the 
firſt Obſervation from Noon. | | 

4. If one Altitude is taken in the Forenoon, and the other 


in the Afternoon, the Interval of Time ſhould not exceed four 
Hours and a Half, | 


72 8. it 


] 
s 


— — - 


- 
2 — 


— —— ——— < — —— —— V — — 


— — — 


— 


— 


36 Navigation epitomized. 


5. If the Sun's Meridian Zenith-Diſtance be conſiderably 
leſs than the Latitude of the Place, then the Altitudes ſhould be 
taken proportionably nearer to Noon. 

26. Example. At Bideford, in Devonſhire, November zo, 1761, 
at gh 53' 10% by the Clock, I took the Altitude of the Sun, 
which, when corrected by the Sun's Semidiameter and Refrac. 
tion, was 120 //; and, at ich 53' 50”, another Altitude, 
which, corrected, was 15 47“: The Sun's Declination was 
21 45/7. The true Latitude of Bideſord I have found, by many 
Obſervations, to be 5 13“ N. but we will ſuppoſe it to be 
called 51* 4& N. Required the true Latitude. 

Times. 
1 
98 
933 10 


— 


Difference 1 © 40 
«} — 


— — 


o 30 20 Half the elapſed Time. 
Latitude ſuppoſed 5; 1% 40! Arith, Co. of Log. Coſine 0.20744 
+ Sun's Dec. 2145“ Arith, Co. of Log. Coſine 9.03207 


6 
Gives the Log. Ratio 0.23951 
Greater Altitude 15 47! Nat. Sine 27200 


— Leaſt Altitude 12 7 Nat, Sine 20990 


Common Log. ff 6210 is 3.79309 
＋ Log. Ratio | 


| | 23951 
2 Elapſed Time 30! 2o# in its proper Table . 87953 


4.91213 This 
in Column of middle Time gives 1h 36/ 30% | 


— 2 elapſed Time - - o 30 20 


Difference gives 1 6 10 the Time from 
Noon when the greateſt Altitude was taken : This in Column 
of Log. Riſing gives - 5 3.61686 


DK 5.239 


337737 Thu 
in a Table of common Log. gives 2384 


+ Greater Altitude 154% Nat. Sine 27200 


— — 


29584 This in Tour 


WS "x 29 vw .F.--v 


Navigation epitomi xed. 37 


of Nat. Sines gives Meridian Altitude 17912! This 


ſubtracted from - - - - ,- ,- 90 


Gives the Sun's Zenith-Diftance 72 48 
— Sun's Dec. 21 45 


Gives Latitude of Bideford, very exact 51 3 
N. B. If the Latitude found by theſe Rules diffe con 
bly from the Latitude by Account in the Journal, it — bs 
— to _ 1 found by theſe Rules, for the 
aſſumed Latitude, inſtead of the Latitude b 
work again for the Latitude. * 


It is intended to treat more largely of thi 
in The Elements of Navigation. 8e his valuable Problem 


AN 


SS | 


0990000002820 TI00000000099 
NO 


LIES 
INT ROD 
TO THI 


Uſe of the TazßLES contained in this 
Volume. 


—_— 


I. HE firſt Table is a Table of Logarithms, 

Logarithms are Numbers fo artificially contrivei, 
and adapted to other Numbers, that, by their Addition or 
Subtraction, the Product or Quotient of the Numbers to wich 
they are adapted may be found. 

2. The Numbers in our Tables are only the decimal Parts of 
the Logarithms, and the Number to be prefixed to it is called 
the Index, 

3. The Index is denoted by a Number expreſſing one /z/5 than 
the Number of integral Places in the Number whoſe Logarithm 
is required: Thus, if the Number conſiſts of one Place of whole 
Numbers, the Index is o; if of 7wwo Places, it is 1; of three 


Places, 2, Etc. 


4. To take out the Logarithm of a Number. 


If the Number, whoſe Logarithm is required, is an integral 
Number leſs than 100, againſt the Number in Page the firſt you 
will find its correſpondent Number: But if the Number, whoſe 
Logarithm is required, conſiſts of three Flaces of Figures, find 
its Number on the Left-Hand of the ſecond or following Pages, 
and againft it, in the Column marked on the Top with o, you 
will find the decimal Part of the Logarithm ; to which add the 
proper Index, and you will have the Logarithm required. 

If the Number conſiſts of 4 Places of Figures, find the three 
firſt Figures in the Column Number 1n the ſecond or following 
Pages, and directly againſt it, in the Column marked on the 
Top with the fourth Figure, you will find the decimal Part of 
the Logarithm; to which prefix its proper Index. : 

Thus, 


Uſe of the Tables. 29 


Thus, by Inſpection of the Table, it will be found that the de- 
cimal Part of the Logarithm of 141 is 1492191 3 and therefore, as 
the Index is always one /e/5 than the Number of integral Places, the 
Logarithm of 141 is 2. 14921913 of 14-1 15 1.492191 3 of 1.41 


is o. 14921913 of. 141 is 114921913 of. 0141 is 21492191, 


Alſo the Logarithm of 1415 is 3.1507564 ; of 141.5 is 
2.1507564 3 of 14.15 is 1.15075604, Oc. 


5. To find the Natural-Number correſponding to any given Loga- 


rithm. 


As this is only the Reverſe of the laſt Article, it is ſufficient 
to hint, that we have only to look in the Table for the Loga- 
rithm, or the neareſt to it, and then againſt it, in the Column 
marked No. we ſhall have three Figures of the required Num- 


| ber; and a fourth Figure may be found at the Top of the Ta- 


ble, and the Index will ſhew how many of theſe Figures are 
whole Numbers. 

For Example, the Natural-Number correſponding to the Lo- 
garithm 0.7583062 is 5.732; to 1.7583062 is 57.32; to 
2.583062 is 573.2; to 3.75 83062 is 5732 3 to 4.75 83062 1s 

7320. 
6. In working a direct Proportion or Canon by Logarithms, 
add the Logarithm of the ſecond and third Terms together, 
and from the Sum ſubtract the Logarithm of the firſt; the 
— will be the Logarithm of the fourth or required 
erm. 

7. Theſe are the Rules which are abſolutely neceſſary for 
practical Navigation; but if the young Student is deſirous of 
acquiring a more perfect Knowledge of the Nature of Loga- 
rithms, we would adviſe him carefully to peruſe the Eſſay pre- 
hxed to this Volume. 


| 8. Tazie II. Of artificial Sines, to every Quarter of a Point. 


In working Plain-Sailing, it is common, in Books of Navi- 
gation, to turn the Points of the Courſe into Degrees, and then 
by Tables I. and III. to work the Proportion; but it is more 
expeditiouſly done, by this Table, without that Reduction: 
For, againſt the Point of the Courſe, you have, by Inſpection, 
the Logarithm of its Sine, or its arithmetical Complement. 


9. Tazie III. Containing artificial Sines and Tangents, alſo 


” natural Sines, to every Degree and Minute of the Qua- 
rant, 


To 


— 


— — — . ↄ«˙ r—— DA _— — — 


— ——— 


* 


20 -- Uſe of the Tables, 


To find the artificial Sine or Tangent, Coſine or Cotangent, of ah 


Ve. 


If the Arc, whoſe Log. Sine, Cc. is required, be leſs than 
45 Degrees, look for the Degrees on the 'Top of the Page, and 
the Minutes on the Column marked M. on the Left-Hand of 
the Page, againſt which, in the proper Column, (ſee the Title 
on the Top of the Page,) will be the Logarithm required, 

For Example: Let it be required to find the Log. Sine of 
5 41“. In Page 57, againſt 41 Minutes in the Column Sine, 
we have the decimal Part of the Log. Sine, 9957681, to which 
prefixing the Index 8, (ſce the Top of the Column,) we have 
8.9957631, for the required Logarichm. 

10. N. B. By putting the Index at the Top of the Column, 
we are enabled to give ſeven Places of Decimals ; whereas, in 
Books of this Size, they have hitherto been given only to fix 
Places of Decimals, | 

11. If the Log. Sine, Tangent, Sc. be required for any 
Number of Degrees greater than 45, find the Degrees at the 
Bottom of the Page, the Minutes in the Righ:i-Hand Column, 
marked M. and the Title of the Column, whether Sine, Co- 
fine, Sc. at the Bottom of the Page. 


12. To take out the Logarithm Sine, &c. to Seconds. 


Take out the Log. from the proper Column, both for the 
next leſs and next greater Minute, and find their Difference ; 
and then ſay, by the Rule of Three, or by a Pair of Compaſſes 
on a Line of Numbers on the Navigation-Scale, As 60 : that 
Difference :: the Number of Seconds given: a fourth Num- 
ber; which, added to, or ſubtracted from, the Logarithm of 
the next leſs Minute, according as the Logarithms are inctea- 
ling or decreaſing, will give the Logarithm required. 


12. Example. Vhat is the Log. Sine of 200 100 10? 


The Log. Sine of 20 10/ is 9.5 37 500 
Of 20 11 is 9.5 378508 


Their Difference 3438 


— 


Then ſay, on the Navigation-Scale, As 60: 3438 :: 10: 


573; which, added to 9.5375070, gives 9.537043, the 16 
quired Log. Sine of 20% 10/ 10#, 


0 


14. To find the Logarithm Sine of ar Angle leſi than 1 Minute. 


Since 


Sc 


Uk of the Tables: - 41 


Since the Natural-Sines of ſmall Arcs are very nearly pro- 
portional to the Arcs themſelves, we have, As 60” : the Se- 
2 in the Arc whole Sine 1s required :: the Natural-Sine of 
1 Minute, or of 60”, : the Natural-Sine required. But if this 
Proportion be worked by Logarithms, it will give the Loga- 
rithm Sine required. 


15. Example. What is the Log. Sine of 30" ? 
As 60 its Log. = 1.77815 i2 conſtant 


— 


Is to 30 its Log. = 1.477122 


So is the Log. Sine of 1 Mi- PE 
nute, its Log. is 5 ee conſtant 


79408473 
17781512 


To the Log. Sine of zo” = 6. 1626951 


Here it may be obſerved, that, to the common Log. of the 
Seconds in the Arc, whole Log. Sine is required, we are al- 
ways to add the conſtant Log. 6.4637261, and ſubtract the 
conſtant Log. 1.7781512 ; therefore it would be the ſame 
1 my to add the Difference of theſe Logarithms, Hence 
this Rule : | 

16. To the common Log. of the Seconds in the Arc whoſe Log. Sine 
is required, add the conſlant Number 4.6855749 ; the Sum <will be 
the Log. Sine required. | PE 

Hence the above Example may be worked thus: 

To the common Log. of 30 = 1.47712t2 
Add the conſtant Number 4.6855749 


—u— 


The Sum gives the Log. Sine of z07 = 6.1626961 


17. The Sine of 1 Minute and Tangent of 1 Minute do 
not ſenſibly differ from each other; and, conſequently, the 
Log. Sine of any Arc leſs than 1 Minute, found by the above 
Kule, is alio the Logarithm Tangent of the ſame Arc. 


18. To find the Log. Secant of any Number of Degrees. 


Find the Logarithm-Cofine, and ſubtract it from 20; the 
Remainder will be the Logarithmic Secant required. | 


Example, IT hat is the Logarithmic Secant of 30 Degrees? 


5 | e From 


42 Dye of the Tables. 
From - - 20,0000008 
Subtract Log, Coſine of 30 = 9.9375 306 


Gives Log. Secant of 30% = 1 0.024694 


19. In like Manner, the Log. Coſecant is found by ſubtract- 
ing the Log. Sine from 20. 
hus. From - 20.0000000 
Subtra& Log. Sine of 300 = 9g.6989700 


— 


| Gives Log. Coſecant of 300 = 10. 3010300 


20. Hence it . that the Log. Secant and Coſecant 
may be taken out by Means of the Log. Sines and Coſines, by 
a mental Subtraction only; and, conſequently, as the Secants 
are but little uſed, it was not adviſeable to give them in the 
Table, as I could much better fill up the Columns uſually al- 
lotted for them with the Natural Sines and Cofines ; which is 
row become neceſſary in Navigation, for finding, in Con- 
junction with Table IV. the Latitude of a Place, by two Alti- 
tudes of the Sun. 


21. The Logarithm Secant of an Arc being given, to find the Arc, 


Subtra the Logarithm Secant from 2o ; the Remainder will 


be the Log. Coſine of the 1. Arc ; and therefore the Arc 

will be readily found in the Column of Log. Coſines. 

Example. What is the Are correſponding to the Log. Secant of 
10,0624694 ? | 


From 20,0000000 
Subtract 10.0624694 


Gives Log. Coſine 9.9375306 This anſwers in 
the Table to 30 Degrees, the required Arc, 
22. The Log, Coſecant of an Arc being given, to find the Arc, 


Rule, Subtract the Log. Coſecant from 20, the Remainder 
will be the Log. Sine of the required Arc, 


Example. hat is the Arc whoſe Log. Cofecant is 10. 30 10300? 


From 20,0000000 
Subtract 10.3010300 


— 


Gives Log. sine 9.698900 which in the * 
f e 


' 
| 


Uſe of the Tables, 43 
ble is found to be the Sine of 30 Degrees, or the Arc which 
was required, 


To find the Natural Sine. 


23. The Numbers expreſſing the Natural Sine or Coſine are 
taken out of the Table, in the ſame Manner as the Log. Sine 
and Cofine hefore explained; only, as the Radius is — 
1, there muſt be a decimal Point prefixed to the Number found 
in the Table. 

24. Example. The Natural Sine of 399 will be found to be. 5, 
and its Coſine. 8660254. x 

25. Any Arc and its Supplement to 180 Degrees have the 
ſame Sine, Tangent, and Secant : Hence, if it is required 
to find the Sine, Tangent, and Secant, of any Number of 
Degrees greater than go, we have only to ſubtract the given 
Arc from 180 Degrees, and find, by the preceding Rules, the 
dine, Tangent, and Secant, of the remaining Arc. 


26. To find the Natural Verſed Sine of any Number of Degrees, 


Find the Natural Coſine; which added to 1, if the Degrees 
are more than go, or ſubtracted from 1, if they are leſs than 
go, the Sum, or Difference, will be the Natural Verſed Sine 
required, | 


| 
| 
2 
1 
li 
| 
| 
| 


27. Example 1. What is the Natural Verſed Sine of 37 Degrees ? 


The Natural Coſine of 37 Degrees is .7933533, and *.* the 
Natural Verſed Sign is 1 — .7933533 = +2066467. 


28. Example 2. What is the Natural Verſed Sine of 143 Degrees ? 


This, ſubtracted from 180, gives its Supplement = 37 De- 
grees ; the Natural Coſine of which, by the firſt Example, is 
7933533, and e the Natural Verſed Sine of 143 Degrees is 
17933533. 


29. To find the Natural Tangent, or Secant, ſee Table V. 


o. The Log. Sine, Tangent, or Secant, or Natural Sine cf any Are 
ff K being gi ven, to find the Arc itſelf. 2 


Find, in its proper Column, the Number given, or, if it 
cannot exactly be found in the Table, the neareſt Number to 
it, and take the Degrees and Minutes correiponding thereto : 
But if it be required to find the correſponding Arc to Seconds of 
u Minute, ſubtract the next leſſer Arc from the next greater 


* =" 


and the Remainder call A: Alſo find the Difference between 


44 Uſe of the Tables. 


the neareſt Number in the Table, and the given Number, 
which call B; and then ſay, by the Golden Rule, As the Dif. 
ference A : 60 :: B : a Number of Seconds, which, added 
to, or ſubtracted from, the Arc correſponding to the neareſt 
Number found in the Table, as the Caſe may require, will 
give the required Arc. | 92 a 


31. Example. Let it be required to find the Arc correſponding to thy 
N Log. Sine of 945375043 
The next Log. Sine in the Table is of 20% 11! = 9.5378 508 
a e Of 20 10 = 9.537 5% 
Their Difference 3438 A. 
From Log. Sine given = 9.5 375643 | 
Subtract Log. Sine of 20% 10! = 9.5375070 


Difference 573 = B. 


hen, by the Golden Rule, (which is readily worked on the 
ine of Numbers,) As 3438 : 60% :: 573 : 10”; which, ad. 
ed to 20% 10/, gives 20% 10/ 10%, for the required Arc. 


32. TABLE IV. For finding the Latitude of a Place by two Alti- 
tudes of the Sun, taken both before or betb after Noon, or one be- 


fore and the other after Noon, with the Interval between the Ob- 
ſervations taken by à common Watch. | | 


This 1s readily done by Means of this Table and the Natu- 
ral vines given in Table III. as we have ſhewn in the Naviga- 
tion epitcm:ized, prefixed to this Volume; and therefore, in this 
Place, we are only to ſhe how to take out the Numbers, 


33. To take out the Log. Half-elapſed Time, or Log. Riſing. 


Find the Hours on the Top of the Page, and then againſt the 


Minutes and Seconds, given in the proper Column, will be the 
Log. required, | 

34. IE the Log. be required to a Quarter of a Minute, add 
the next greater and next leſs together, and Half the Sum will 
be nearly the Logarithm required, | 


35. Example. Required the Logarithm Riſing of zh 1040. 


The 


Uſe of the Tables, 45 


The Log. Rifing of 2h 10/ of is 4.19482 
Ditto of 2 10 30 is 4.19805 


Sum 8.39288 


The Log. required 419644 


36. If the Log. be required to ſingle Seconds: 

Find he Difference of the next greater and next leſſer Loga- 
rithm, an ſay, by the Rule of Proportion, As 30%: that Dif- 
ference :: the Number of Seconds (hich the given Number 
exceeds, or is ſhort of, the neareſt Time found in the Table): 
a fourth Number; which, added to, or ſubtracted from, the 
Logarithm of the neareſt Halt-Minute, as the Caſe may require, 
will give nearly the Logarithm required. 


47. Example. What is the Leg. Half-elap/ed Time for 2h 16/10? 


The Log. 1 elapſed Time of zh 16“ of = 0.25244 
AA 


140 


Now, by the Golden Rule, or on the Scale, work this Propor- 
tion, viz, As 3Oo# ; 140 :: 10 : 47, nearly. i 
| | From 0.25244 

Subtract, being decreaſing, 47 


Gives the required Log, = 0.2;197 


38. To find the Time correſponding to any Log. Middle Time, 


Find the Log. or the neareſt to it, in the proper Column; 
then on the Top will be the Hours, and in the Columns M. 8. 
the Minites ind Half-Minhtes. But if it is required to find the 
Time to leſs than Half-Minutes, find the Time correſponding to 
the next greater and next leſſer Log. and ſay, As the Difference 


betwixt theſe Log.: 3o# :: the Difference betwixt the Log. 


whoſe correſponding Time is required, and the neareſt to it in 
the Table,: a Number of Seconds; which, added to, or ſub- 
tracted from, the Time correſponding to the neareſt Log. found 
in the Table, will give the required Time. 


39+ Example, What is the Middle Time correſponding to the Log. 


, 


5.04900 ? 


In 


— 
3 — 
— _ 


46 Uſe of the Tables, 


In the Table, the next 3 
greater Middle Log. is 5.04999 Correſpond. Time 2 16 4 
Next leſs ditto is 5.04859 Ditto 2 16 0 

. 
Difference 140 Difference zo 


— — 


Given Log. 5.04906 
Next leſs Log. 5-04859 


Difference 47 


Now, by the Rule of Three, or worked on Gunter's Scale, A 
140 : 30" : 47 : 100. | 
Then to the neareſt Time, 2h 16! o. 

Add 10 


Gives the Middle Time required 2 16 10 


ww —- 


40. Ter V. 4 Table of Log. Verſed Siner, Natural Tangent, 


and Secants, to every 10 Minutes. 


A Table of Log. Verſed Sines being of very little Uſe in the 
Practice of Trigonometry and Navigation, and as the like ma 
be ſaid of Natural Tangents and Secants fince the Introduction 
of their Logarithms, it would haye been imprudent to have 
filled up go Pages with this Table, when we ſhall ſcarce have 
Room in this Volume for thoſe Tables which are much more 
uſeful in Practice. The greateſt Uſe of a Table of Natural 
Tangents, Secants, Cc. is now to conſtruct accurate Scales 
with; and for this Purpoſe it is ſufficiently copious and accu- 
rate, though here comprized in only 8 Pages. However, to 
ſupply ſuch as may want, on ſome particular Occaſion, to find 
the Log. Veried Sine, Natural 'Tangent, or Secant, to a ſingle 
Minute, we ſhall here ſhew how it may be readily obtained 
nearly true, even by this Table; and to a greater Degree of 


* 


Exactneſs, if required, by Means of Table Ti 


41, To find the Natural Tangent, &c. 


Find the Degrees and Minutes, if you can, either on the 
Right or Left Hand of the Page; then againſt it, in its reſ- 
pective Column, will be the Logarithm Verſed Sine, Natural Tax- 
gent, or Natural Secant, required. But if the Minutes cannot be 
exactly found in the Table, take out the Log. Verſed Sine, Na- 
tural Tangent, or Natural Secant, of the next greater or next 


leſs Number of Minutes, and find their Difference ; which 25 
| tiply 


# 
30 
0 
30 


a Mm 


— 


R 


Tje of the Table. 45 
voly by the Number of Minutes by which the given Number 
ede the next greater or next leſſer in the Table, and cut off 
one Figure to the Right-Hand; then will the Figures on the 
Left be the Quotient (by 10), to be added to, or ſubtracted 
ſom, the neareſt Log. Verſed Sine, Natural Tangent, or Se- 
cant, found in the Table. 


42, For Example. What is the Natural Tangent. for 30 3! ? 


By inſpecting the Table, it appears that the Natural Tangent 
/ 65 46 q0939 
TJ VVV 8 8. 8 OO 


Their Difference 388 
Multiply by 3 


— —— P — 


And, cutting off the 4, we have 116ʃ4 


| To Nat. Tangent of 30% of = 57738 
Add the Proportional Number for 3 Minutes, Ps 8 
cauſe the Tangent is increaſing = 116 


— —— —u—v 


The Sum is the Nat. Tangent of 30 30, nearly = £57851 


N. B. The Nat. Tangent to 7 Places of Decimals is. 5785144. 


43. To find the Natural 7. angent of an Arc, to a greater Exactneſt, 
n by Means of Table III. F 


Find the Nat. Sine and Nat. Coſine by Table III. then ſay, 
by the Golden Rule, As the Coſine: the Sine :: Radius to 
the Natural Tangent required. 


44. Example: What is the Natural Tangent of zo 3), the Radius 
being 1 ? 


By inſpecting Table III. it appears that the Natural Tan- 
dent of 30® 3/ is .5007556, and its Coſine .8655887. 

Then, as .8655887 : 50075 55 :: 1: 0.5785 144, the Tan- 
gent which was to be found. 


45. To find the Natural Secant of an Arc by Means of Table III. 


Say, by the Rule of Proportion, As the Coſine: Radius :: 
Radius : the Secant. 


For 


48 US if the Tablet. 
: For Eximple. What is the Secant of 300 377 
As. 8655887 : 1 :: 1 : 1.18528 zo, the required Secant. 


46. The Log. Verſed Sine may alſs be und by Table III. ai 
the Aſſiſtance of Table I. fe 4 . With 


Thus: Find the Verſed Sine, by Table III. as hewn in the 
Uſe of that Table ; then find the decimal Part of the Log. re. 
quired, by Table I. to which prefix its proper Index; wiz, if 
the Arc is 1 Minute, the Index is 2; — 2! to 4“ incluſive, 
the Index is 3 ; from 5/ to 15 is 4; from 16/ to 48/ is 5; from 
49/ to 2 33“ is 6; from 22 34/ t08* 6/157; from 8 / to 
255 is 8; from 25% 51 to any Thing ſhort of 90% is 9; the 
Log. Verſed Sine of go? being = the Log. Radius, wiz, = 
IO. OOOOOOO. 


47. Example. What is the Leg. Jerſed Sint of 66% 0/2 


By Fable III. it will be found that the Natural Coſine of 600 
is = -5 3 Which, ſubtrated from the Radius 1, gives 5 = the 
Natural Veried Sine ; the decimal. Part of the Logarithm of 
which, in Table I. is. 6989700; to which prefixing its proper 
Index, as above is directed, we have the Log. Verſed Sine re- 
quired, = 9.6989700. | 
After having ſaid thus much, it ſeems unneceſſary to give the 
* of theſe Problems; we ſhall therefore proceed to the next 
Table. 


48. TABLE VI. A Table ef Angles of Rhunbs, to. turn readily 
Points & the Compaſs into Degrees. 


Two Exam ples will be ſufficient to ſhew the Uſe of this Table. 
49. Example 1. Supprſe a Ship ſails S. S. W. a W how mony 
Points, and alſo how many Degrees, is that from the Meridian ? 

Apainſt S. S. W. 2 W. we ſhall find, by inſpecting the Ta- 
ble, 24 Points, or 30% 56! 15“. 
50. Example 2. Suppoſe a Ship ſails N. 45 E. what Peint of the 
Compaſs is that ? 


Anſawer. Tn the Table, againſt 45% we find the Courſe is 
N. 4 Points Eaft, that is, N. E. 


51. Would Room permit, we might now proceed to ſhew the 
ſeveral Uſes of the Reſt of the Tables; but, to explain wo 
| ally, 


Uſe of the Tables: 49 
fully, it will be neceſſary to publiſh a Treatiſe of Navigation 
in another Volume ; which we intend to do as ſoon as poſ- 
ſible, In the mean Time, we can only ſay, that ſuch as have 
already learnt oy Jab PR underſtand the Uſes of moſt of them 
withont farther Explanation ;, and as to thoſe who are now 
learning, they will be readily explained to them by their 
reſpeftive Maſters : We ſhall therefore, in this Place, only 
briefly deſcribe the remaining Tables, as follows. 


52. TaBLes VII. and VIII. are readily adapted for ſolving 
a Traverſe, or. working a Day's Work, at Sea, and are here 
printed, with ſome Improvements ; by which the x Lati:ude 
and Departure are readily found, to upwards of 3000 Miles 
Diſtance, Their Uſe is known to all who keep a Journal at 
Sea, 

53. Taprz IX. ſhews how many Miles make a Degree of 
Longitude in any Latitude; or how many Miles a Ship muſt 
fail, Eaft or Welt; to alter one Degree ih Longitude, 


5% TanLE KX. is alſoa Table well known, called, 4 Table 
of Meridional Part. | 3 
We have given them to Tenths of Miles; but, as this Ta- 
ble is calculated on the Suppoſition of the Earth's being a 
Sphere, (whereas its polar Diameter is found to be ſomething 
ſhorter than its equatorial, vi, as 265 to 266, is a little flat- 
tened towards the Poles, and forms à Figure called an Oblate 
Spheroid,) it may be objected, by ſome, that this Table is 
not ſtrictly true: We have, therefore, at the Bottom of each 
Page, ſhewn what maſt be ſubtracted, to reduce the ſpherical 
to the ſpheroidical meridional Parts. However, the common 
Table is ſufficiently exact in Practice. 


55. TazLE XI. is a Table of Minutes or Miles of the E- 
quator, contained in every Degree of the jpheroidi.al jvieri- 
dian. The Method of ning this and the laſt Table, to find 
the Courſe and Diſtance from one Place to another, in the 
ſpheroidical Earth, is as follows. : ERS ke 

Firſt, by Table X. find the true meridional Miles for each 
Latitude, and thence the true meridional Difference of Lati- 
tude ; then ſay, As that meridional Difference of Latitude: the 
Difference of Longitude :: Tangent of 45: the Tangent of 
the true Courſe. | 
Now, by this Table, find the Diſtance of the Parallel of 
Latitude of each Place from the Equator, in Miles ; and thence 
the true Difference of Latitude between the two Places, by 

h Addition, 


50 Uſe of the Tables. 
Addition, if one is North and the other South; or by Suh. 
traction, if both North, or both South. 

Laſtly, ſay, As the Coſine of the true Courſe : the true Dif. 
ference of Latitude :: Radius: the true Diſtance; which will 
not differ much from that found in the common Manner. 


56. TRT XII. is the common Table of Amplitudes; ſhew. 
ing, by Inſpection, how many Degrees the Sun riſes to North- 
ward or Southward of the Eaſt, and ſets to Northward or 
Southward of the Weſt, Points of the Horizon. 

7. By this Table, the Amplitude found is the true Ampli. 
tude, when the Sun is actually in the Horizon; but when the 
Sun's Center is actually in the Horizon, it is well known that 
he appears about 37 Minutes above the Horizon at Sea, and 
therefore the true Amplitude, found by this Table, muſt 
increaſed when the Latitude and Declination are both North or 
both South, or leſſened a certain Number of Minutes when they 
are of contrary Names, if it is required to find the Amplitude 
of the Sun at his vifible Riſing or Setting; and for this Pur. 
poſe the next Table is inſerted, wiz. 


58. TazLe XIII. of the Change of Azimuth, which the 
Sun makes in riſing from the Horizon one Degree of Altitude: 


. Whence, by the Golden Rule, or the Line of Numbers on the 


Scale, the Change of Azimuth, correſponding to any leſs Riſe 
of Altitude than one Degree, is eaſily obtained. 


59. Ta TE XIV. of Aſcenſional Difference, ſhews, by In- 
ſpection, how many Minutes the Sun riſes and fets before or af- 
ter 6 o leck. By which alſo may be readily found the Length 
of the Day and Night; as Double the Sun's Setting gives the 
Length of the Day, and Double the Sun's Riſing, the Length 
of the Night. As the Sun, by the Refraction of the Rays of 
Light,. appears above the Horizon before it is really up, and 
after it is really ſet, to obtain the Time of viſible Riſing and 
Setting, a few Minutes muſt be ſubtracted from the Riſing, and 
added to the Setting, as found in this Table, to have the Time 


of the Sun's viſible Riſing and Setting ; and, for this Purpoſe, 
we have given 


60. TaBLE XV. of the Time in which the Sun riſes from 
the Horizon one Degree of Altitude ; whence, by Proportion, 
the Time for any Change of Altitude, leſs than a Degree, is 
readily found.. | 


61. TazLe XVI. A Table for turning Time and Degrees, 


Sc. mutually into each other. 
Take 


of t 


<<, 45 > © *—» 


Uſe of the Tables. 51 


Take one Example of its Uſe, iz. ſuppoſe the x Longitude 
of two Places is 53* 37/, what is that in Time? 


x Longitude 53 37 1 1 * 
Ja the Table againſt 50% Motion is 3 © Time, 


Remains 8 37 
8 30 13 = ” 2 - © 34 


Remains 7 , 
Againſt 7 is — © © 28 


Remains © Whole Time is 3 "a 28 
The required x Longitude in Time. 


67. T ants XVII. Of Refraftion. 


The Rays of Light, paffing throagh the denſe Medium of the 
Atmoſphere, are bent in fuch a Manner as to cauſe the Sun, 
Stars, Ce. to appear higher than Soy really are; and there- 
fore, when we have taken the Altitude of the Sun or Star, by 
a Quadrant, we muſt look againſt the Altitude in the Table 
for the Re fraction, to be ſubtracted to give the true Altitude. 


63. Tax XVIII. Of Depreflion, 


In this Table is ſeen, by Inſpection, the Dip or Depreſſion 
of the Horizon, correſponding to the Height of the Eye above 
the Surface of the Sea ; to be ſubtracted the Altitude in a 
ſore, or added in a back, Obſervation. 


64. Tazig XIX. Of the Sun's Parallax of Altitude, 


The Uſe of this Table is well known to Aſtronomers ; bat, 
as to Navigators, the Error in omitting it is too ſmall to be 
thought worthy their Notice, as the Sun's Parallax only cauſes 
him to appear a few Seconds lower than he really is. 


65. TayLe XX. Of the Sun's Semidiameter. 


If the Altitude of the Sun's upper Limb be taken by a Qua- 
drant, this Table ſnews the Number of Minutes and Seconds to 
be /ubtrafed, or (if the under Limb was obſerved) to be added, 
to obtain the Altitude of the Sun's Center. 


h 2 66. 


— — — ä —— 
— 4 5 2 — — — 
4 * — 


— — 
- — 


— 
— 
22 


6———ů Zl 


— — —vu—— — 
a - 


52 Uſe of the Tables. 


66. TABLE XXI. Of Right-Aſcenſion and Equation of Time, 


This Table is ſo contrived, as to ſhew the Right-Aſcenſion 
of the Sun, and the Equation of Time, to a ſufficient Degree 
of Exactneſs for Purpoſes at Sea, for ſeveral Years. 


67. TABLE XXII. Of the Sun's Place and Declination, 
This Table is alſo contrived to ſerye for ſeveral Years. 


68. TaBLEz XXIII. To change the Sun's Declination to any 
FO jo | Meridian. 


If the Mariner is at a conſiderable x Longitude from London, 
and you would have his Declination, which 1s calculated for 
London, reduced to the Meridian of the Ship's Place, {which 
ought always to be done,) it is readily found by this Table. 


69. TaBLE XXIV. is a Table of the Right-Aſcenſion and 
Declination of the principal fixed Stars, and will ſerve the com- 
mon Purpoſes of Navigation, for ſeveral Years to come, 


| 70. TABLE XXV. For the North-Star. 


This Table was conſttucted by me, in Conſequence of a Re- 
queſt in a Letter in the Gaxetteer, dated from Deptford, Auguſt 10, 
1-65. Who made the Requeſt, I know not, to this Day. 
This I think proper to declare, as in his Letter of Thanks to 
me, in the Gaxze/zger of the 28th of September, he reflected cn 
ome ingenious Aſtronomers in and near London; which is the 
true Reaſon why 1 did not anſwer his farther Requeſt in that 
Paper, that I might not receive any Compliments at the Ex- 
pence of others, | 

In finding the Latitude by the North-Star, the Nocturnal has 

been generally uſed ; but it is now, partly by Time, and 
partly by being founded on bad Principles, become ſo faulty, 
as to cauſe an Error of near 40 Minutes in the Latitude, in 
ſome Circumſtances, and therefore cannot be admitted in the 
preſent improved State of Navigation. 
21. To be very accurate, Tables ſhould be calculated for 
different Latitudes; but, as that would be troubleſome, and 
there are better Methods for determining the Latitudes of Places 
at Sea, I have contented myſelf with only calculating one Ta- 
ple, in ſuch a Manner as will be found ſufficiently accurate for 
common Purpoſes, to oblige thoſe who may be inclined to find 
the Latitude by the North-Star, at any Time of the Night, 
without waiting for its being exactly on the Meridian, 


7: 


Uſe of the Tables. 53 


72. The Rule, Having taken the Altitude of the Star, and 
noted the Time of Obſervation by your Watch, (kept as true 
25 may be,) correct it by Refraction and Dip of the Horizon. 
Apis done, the next Thing is to find the Time of the Star's 
being on the Meridian aboye the Pole. 

If the Time of Obſervation be not more than 6 Hours diſ- 
tant from the Time juſt found, (of the Star being on the Me- 
ridian above the Pole,) the Diſtance of Time will, in the Ta- 
ble, zive the Degrees and Minutes to be ſubtracted from the 
true Altitude of the Star, for the Altitude of the Pole, or Lati- 
tute of the Place. But if the Time of Obſervaticn be more 
than 6 Hours diſtaut from the Mepidian, it may be obſerved, 
tht, about 12 Hours before the Star is on the Meridian above 
the Pole, it was, and, about 12 Hours after, will be again, on 
the Meridian below the Pole. Then enter the Table with the 
Dil:ance of the Time of Obſervation, from the Time of the 
Star's tranſiting the Meridian below the Pole, and you will ſee 
the Degrees and Minutes to be added to the Latitude required. 

N. B. The neare the Star is to being on the Meridian, the 
more accurate ill tae Latitude be found. 


73. Example. Suppoſe the Altitude of the North-Star was ta- 
ken at Sea, ne zd of December, at 8 at Night, and found (Re- 
fraftion and Dip of the J orizon being allowed) to be 52 Deg. 
10 Min. what 2 was the Ship in? 

F h. m. 
The u ight-Aſcenſion of the Star 0 46 
N Add 24 o 


24 46 

Sun's Right-Aſcenſion, ſubtrat 16 39 
The Star is on the Meridian above the Pole at 8 7 in the Even. 

Time of Obſervation 8 o 


Time diſtant from the Meridian @ 7 


Deg. Min. 
Hence, from the Altitude of the Star 52 10 N. 
Subtract, as by the Table, 1 56 


Remains the Latitude required 50 14 N 1 


74. But if the Time of Obſervation had been 4 o' Clock in 
the Morning, that Time is more than 6 Hours diſtant from the 
Time of tranſiting the Meridian above the Pole; therefore we 
muſt conſider, that, as it was on the Meridian above the Pale 


at 


54 Te of the Tables. 


at 8 Hours 7 Minutes at Night, it muſt have been on the Me. 

ridian below the Pole about 8 Hours 7 Minutes in the Mor. 

ing; and therefore, ſubtracting the I ime of Obſervation, 4 

Hours, the Diſtance of Time from the Meridian below the 79 

Pole is 4 Hours 7 Minutes, which, in the Table, gives o De. an 

grees 55 Minutes; which, added to 52 Degrees 10 Minutes, Ge 

gives the Latitude, 53 Degrees 5 Minutes, North. 
This was communicated by me, ſome Years fince, to the T 

Publiſher of the Mariner Calendar; but, in that Book, are c 

ſome Errors of the Preſs, both in the Uſe and Table, which Leal 


may be hereby corrected. pi 
75. Tavis XXVI. Of equal Altitudes. and 


If we take an Altitude of the Sun at any Time in the Fore. 80. 
noon, and obſerve in the Afternoon when the Sun comes to the > 
fame Altitude, the middle Time between the Times of the two \ 
Obſervations will be nearly the Time the Sun was on the Me. d 
ridian; but not exactly, on Account of the Alteration of hi 
Declination in that Time; and muſt, therefore, be corrected 


by the Number of Seconds taken out of this Table, and ad- f 
ded to, or ſubtracted from, the middle Time, as the Table Mc 
directs. | * 

76. TABLE XXVII. Of the Horizontal Parallax of the Moon, 4 

The Parallax makes the Moon appear lower than it really rs 
is; therefore, if we take the Altitude of the Moon by a Qua- if 
drant, the Parallax of Altitude, found in this Table, muſt be * 
added to the Altitude obſerved, for the true Altitude of the 92 
Moon. 

N. B. You may allow 16 Minutes for the Semidiameter of . 
the Moon, as you did for the Sun; alſo the Refraction and tai 
Dip, as uſual. Se 
| 77. TaBLE XXVIII. Of the Dip, when landlocked. 

When the Ship is ſo near a Shore that an open Horizon 
cannot be ſeen, it is neceſlary to uſe, in its Stead, the appa- 
rent Interſection of the Sea and Land. The Dip, in ſuch th 


Caſe, muſt be taken out of this, and not from Table XVIII. 


78. TAE XXIX. Of the Length of Knots, 


As it frequently happens, that the Glaſs, which is vſed on- 
Board a Ship, is not above 28%, {ſometimes not ſo much, 
the Length of the Knots of the Log-Line, initead of being 50 
Feet, muſt be ſhortened accordingly ; which is readily done d) 
inſpecting this Table, . 


9 


e, Uſe of the Tables. 55 


| „rn XXX. Of the Dominical or Sunday Letter, Prime, 
e. Vaud Epact. (V. 3. The Prime is ſometimes called the 
5 Golden A umber. } 


Theſe are ſo well known as to require no particular Explana- 
tion in this Place : Only it may be binted, that, when it is 
N Leap-Vear, you find two Sunday-Letters; for Example, a- 
h gainſt the Year 1766 is GF, In ſuch Caſe, the laſt Letter, F, 
ſerves from the Beginning of the Year to the End of February, 
and the firſt Letter, G, all the remaining Part of the Year. 


8. TABLE XXXI. of the Moon's Southing, and Tazre 
e XXXII. of the Number of Months, are too well known to 
0 Mariners, to want any farther Explanation than is given un- 


| der the Tables, p. 286. 


81. Ta sr XXXIII. Of New Moons till the Year 1900. 


Againſt the Golden Number, in the Column of the reſpective 
Month, will be the Day of the New Moon required. — For Ex- 
ample: Required the Day of the New Moon for December 1773 : 
Looking in Table XXX. againſt the Year 1773, you will find 
the Prime, or Golden Number, for that Year, is 7; agaiaſt 
which, in this Table, under the Month December, ſtands 13 ; 
that is, it is New Moon, that Year, the 13th of December. Bur: 
if the Time is more accurately required, look in Table XXXV. 


92. TapLE XXXIV. For finding the Diſtance of Objects at Sea. 


This ſhews, by Inſpection, if the Height of a Ship, Moun- 
tain, fc. ts known in Feet, how many Miles it is viſible at J 
Sea, | 


83. TaBLE XXXV, Of the Moon's Phaſes. 
| (Calculated by an Aſliſtant.) 


This Table is inſerted on Account of its great Uſe in finding 
the Moon's Age and Time of High-Water, more accurately 
than can be done by Table XXX. It may be proper to hint, 
that the Time of any Phaſe is given in Hours, counted from 


| the next preceding Noon, agreeably to the aſtronomical Way 
of counting. 


| 84. TAL XXXYI. Of the Variation of the Compaſs, as in 
the Year 1756, _ 


As theſe Tables can only be bronght forward by making a 
new Variation-Chart, it is to be wiſhed that the Commiſſioners 
of the Longitude would be pleaſed to cauſe a new Chart to be 
made, from proper Obſervations, as it is a Work of too expen- 


ive 


—— — 


56 : Uſe of the Tables; ; 
five a Nature for a private Perſon to perform: The great Uſe; 
fulneſs of ſuch a Chart is too well known to be here inſiſted on. 


85. TazLE XXXVII. A Tide-Table, ſnewing the Time of 
High-Water at New or Full Moon, commonly called the 
Flowing. 

This Table is, for the moſt Part, extracted from Robery/y'; 

Navigation, and muſt, for Want of good Obſervations, be 

very imperfect: But thoſe few Places, which I could give on 

better Authority, are diſtinguiſhed by an Aſteriſm (“)). 
To find the Time of High-Water, the common Method is td 


add the Flowing to the Time of the Moon's Southing, for the 
Time of High- Water: 


86. Ta XXXVIII. Of the Latitudes and Longitudes of 
laces. 


Whoever will compare the firſt Part of this Table with thoſe 
in the common Books will find that I have not contented my- 
ſelf with copying from any Book, but that I have beet at ſome 
Pains to collect from the beſt Charts, correfting them by the 
beſt Obſervations I could procure, As to the Reſt of this Ta. 
ble, partly for Want of Time, (it being a Work of conſidera- 
ble Labour and Time,) and partly for Want of good Materials 
at preſent; I have been obliged to copy from the common Sea- 
Books, 


87. It is common to hear Maſters of Veſſels complaining of 


the Innaceuracy of the Tables of Flowing, and Latitudes and 


Longitades of Places, in the Books of Navigation, Sc. but I 
muſt beg Leave plainly to aſk them, where does the Fault lie! 
Certainly not in the Authors ſo much as in the Maſters them- 
felves ; for if they will not communicate their Obſervations, it 
is impoſlible the Tables ſhould be corre. I can only ſay, that 
if they would communicate their accurate Obſervations of Lati- 
tudes, Tides, &c. Po/t-paid, I will make the beſt Uſe of them, 
for their Service, that my Time and Opportunity will permit, 

88. It is ſuppoſed, that theſe are all the Tables that will be 
neceſſary, and which Room will permit to be given in this Vo- 
lume. 


Having concluded our Account of the Tables, we ſhall now 


give an uſeful Compendium of Aftronomy, for the Sake of thole 


young Students who have already learned the Doctrine of Sphe- 
rical Triangles, | 


A 


CC 


Com pendi 


OR THE 


DOCTRINE of the SPHERE. 


———_— — 


—— ⁵—U 2 


— 


FN the Figure on the next Page, the Circle hZHn is the 
Meridian. 
hH, the Horizon. 
Zn, the Prime Vertical, or Eaſt and Weſt Azimuth-Circle. 
NS, the Axis of the Sphere. 85 
N, the North Pole. 
8, the South Pole. 
EQ, the Equinoctial. 
28, , he, the Ecliptic. 
PP; the Axis of the Ecliptic. 
ZOn, an Azimuth-Circle. | 
NOS, Ns, Meridians or Hour-Circles: 
PXP, a Circle of Longitude for the Sun, Star, or Planet, 
counted on the 2 
$2 Tropic of Cancer 5 n: 
ws Tropic of Capri . 23 28/ from the Equinoctial. 
Dod, a Parallel of Deelination. | 
AP, the Arctic or Northern Polar Circle ; and 
Pa, the AntarQic or Southern Polar Circle; each 230 28/ 
from its reſpective Pole, | 
In the right-angled ſpherical Triangle, YOZ, right-angled 
at Z, the ZV is the Complement of Latitude of the Place; 
20 the Declination of the Sun, Star, or Planet; VZ its Dif- 
ference of Aſcenſion ; and YO its Amplitude. Any two of 


theſe being given, the others may be found, by right-angled 


ſpherical Trigonometry. This forms fix Caſes, 

In the right-angled ſpherical Triangle, YOx, right-angled 
at x, the (M is the Latitude of the Place; x© the Declina- 
tion of the Sun, Star, or Planet; YO its Altitude when Eaſt 
or Weſt ; and Y the Time from 6 o' Clock when it 1s Eaſt or 
Weſt. Any two of theſe being given, the others may be found. 
This admits of fix Caſes, | 

1 In 


ng - 


— — 
. - 12 
< - 4 — — ? poll Is — — = _ 88 = 
»_ 2 - < - - 
—————  — ⁵²˙²˙²ũÿ3?] w⅛ẽÜ — . 


Yo th. — = 


In the b e ay Triangle, YOa, right-angled at 2, the 
g the Latitude of the Place; YO = the Declination of 
the Sun, Star, or Planet; «O = its Altitude at 6 Hours Dif. 
tance from the Meridian; and Va = its Azimuth from the Eait 
or Weſt. Any: two of theſe being given, the others may be 
found. This makes 6 Caſes, 

Is the right-angled Triangle, O, right-angled at m, the 
Y = the Sun's greateſt Declination, or the Obliquity of the 
Ecliptic, 23% 28“; PO the Sun's Longitude from VN or =; 
mY the Sun's preſent Declination 3 Y = the Sun's Right- 
Aſcenſion. Any two of theſe being given, the others may be 
found. This admits of 6 Ca'es, N. B. The Right-Aſcenſion 
is counted all round from , as the Ancients did, and 
ſome Moderns do now, count the Longitudes of Places. 80 
that, if the Sun's Place is between Aries and Cancer, the Part, 
Vm, found by the Canon, would be the Right-Afcenſion re- 
quired ; if between Cancer and Libra, then 180% — n = the 
Sun's Right-Aſcenſion. If the Sun is berween Libra and Ca- 
fricern, then 180% + m (found by the Canon) == the Sun's 
Right-Aſcenſion. Laſtiy, if the Sun is between e and 

ricsy 


Compendium of Aſtronomy. 59 
rin, then 360% — Vm (found by the Canon) = the Sun's 
Right- Aſcenſion. | | 

In the oblique ſpherical Triangle, ©ZN, ZN is the Com- 
plement of Latitude of the Place; ZO the Complement of Al- 
titnde of the Sun or Star; NO its Diſtance from the Pole 
(which, when the Declination and Latitude of the Place are 
both of the ſame Name, that is, both North, or both South, 
is = O — Declination ; but when the Latitude of the Place 
and the Declination are one North and the other South, it is = 
9 + the Declination). The OZ N is the Azimuth of the 
Sun or Star (counted from the North in North Latitude, and 
from the South im South Latitude); and the 2 ZNO is the 
Mour Z, or Time from Noon, if the Sun; or from the Time 
of the Star's Southing, if a Star. Any three of theſe being 
given, the others may be found, by oblique ſpherical Triangles. 
This admits of 10 Caſes. . 

In the oblique ſpherical Triangle, NP, NP is the Diſtance 
of the Poles of the World and the Ecliptic = 23 28“; KN 
the Star's Diſtance from the Pole of the World, or Comple- 
ment of the Star's Declination ; & the Complement of the 
Star's Latitude; the P the Star's Longitude from S or VF ; 
and the ZN the Hour from the ſidereal Midnight, wiz. from 
the Time of the Star's coming on the North Meridian. 
Any three of theſe Parts being given, the others may be found, 
by oblique ſpherical "Triangles. This admits of 10 Caſes, 


Thus have we, in this very ſhort Compendium, ſhewn the 
Method of ſolving 44 Caſes in Aſtronomy, and ſufficiently 
clear to be readily underſtood by all who have already learned 
the Doctrine of the Sphere. To adapt it to the Capacity of 
others, would require a whole Volume : Such an one we may 
perhaps give, at another Opportunity, if Life, Health, &c, 


permit. 


WE 


wy 
LN 


( 6 ) 
MOOT 


E had intended to have concluded our Introduction in 
this Place ; but, finding ſome Room in this Half-Sheet, 
for the Sake of the young Algebraiſt, we ſhall make the fol. 
lowing Additions thergto : Firſt, 


A COMPENDIUM OF COMPOUND INTEREST. | 


Let » = the Amount of 11. in one Year: Thus, if the Rate 
of Intereſt i is 31. per Cent. * Annum, then r = 1.03; if 3% per 
Cent. it is 1.05; and ſo for any other Rate. 

= any Sum put to Intereſt, called the Principal, 

2 = the Number of Years it is put to Intereſt, 

a = its Amount in » Years. 

And let the Capital-Letters ſtand for the Logarithms of the 
reſpective Numbers, denoted by their correſponding little Let. 
ters, 


Then, Theorem 1. pr” = a, or P ARS A, 
or A -R , 


2. Theorem. p =: 0 
x 


1 
3. Theorem. 6A 7, or AP 
7 1 
A — P 


4+ Theorem. # = —— 


A COMPENDIUM OF THE DOCTRINE OF ANNUT, 
TIES IN ARREAR, AT COMPOUND INTEREST, 


Let a = any Annuity forborn x Years ; 
m = its Amount; 
7 = the Amount of 1/, in one Year 


Then, 


Of Annutties, 61 


— ä — 


a X * — 1 
Then, Theorem 1. m = Ss 


Or, Log. m = Log. @ + Log. * 1 — Log, . 
IN TON 
2. Theorem, Log. a = Log. n— Log. * — 1 ＋Log.—1 1 
mr— m 4 — Log. a 


z. Theorem. 2 = Log, — 2 
1 
77 120. 


The finding of 1 by this laſt Theorem being troubleſome 
when » is more than 2, Mr. Simp/on has given the following 
Approximation; which will anſwer very near the TING; when 
the Number of Years 1s not very great. 


1. — 1.4 
Let 


; then will the Rate per Cent. be 


ll 


2. — 71a 


20002 + 20 —1- 40 


, nearly, 


br-gg+3n—4 o+ . F#—2., 112 — 13 


A COMPENDIUM OF THE DOCTRINE OF ANNU- 
ITIES, RESPECTING THE PRESENT VALUE, AT 
COMPOUND INTEREST, 


Let a = any Annuity forborn x Years ; 

r = Amount of 11. in one Year ; | 

? = the preſent Value of the Annuity for x Years, 
I 


— — 


Theorem 1. þ = @ X — 


12 


] — 


Or, = Log, @ + Log, 1 Re Log. 7—1. 


2. Theorem, Log. a = Log. p + Log. 71 —- Log. 1— — n 
7 


Log. a — Log. a +þ pr 


„Th 2 2 | 
ann: Log. v 


* 


62 Of Annuities, 


— 


4. Theorem. ATI — 77 1 * * 4+ 7 . 
The finding v, in this laſt Theorem, being troubleſome 
when u is more than 1, Mr. Simp/on has given the following 


n. 141. 


Approximation; wiz. aſſume g = 9 
— 


; then will 


3000q — 22 + 1 X 400 


69.59 —30—4 +4 72. 11 +13 
nearly, when # is not a very large Number. 


= the Rate per Cent, ver 


A COMPENDIUM OF THE ADDITION AND SUE. 
TRACTION OF SINES AND TANGENTS, &c. 


Of great Uſe in the Application of Algebra to Trigonometiy. 


Firſt, of Sines. 


ProBLEM 1. To find the Sine correſponding to the Sum of any 
two Arcs or Angles: Radius being taken = 1, 


Theorem. The Sine of the greater into the Coſine of the leſs, 
plus the Sine of the leſſer into the Coſine of the greater, 


ProBLEM z. To find the Cofine correſponding to the Sum of 
any two Arcs or Angles. 


Theorem. The Product of the two Coſines, minus the Produft 
of the two Sines, 


Prosrzu 3. To find the Sine correſponding to the Difference 
. of two Arcs or Angles. 


Theorem. The Sine of the greater into the Coſine of the les, 
minus the Sine of the leſſer into the Coſine of the greater. 


PROBLEM 4. To find the Cofine correſponding to the Differ- 
ence of two Arcs or Angles, 


Theorem. The Product of the two Coſines, plus the Product of 
the two Sines. 


„ 


Note. When any Angle is more than go Degrees, its Coſine 
is a negative Quantity. 


Or 


or ADDING AND SUBTRACTING TANGENTS. - 


leſſer Arc. 


Of Sines and Tangents. 63 


Let 1' = the Tangent of an Arc, and :: the Tangent of a 
T+? 
Then, —= = Tangent of the Sum of the ſaid Arcs; 


1— Tt 


FI; = Cotangent of their Sum, 

T—: 
1417 
1 T. 


I'—z 


Theſe Theorems are when both Ardhes are acute; but when 
any Arc is above go, its Tangent muſt be repreſented by a 
negative Quantity: For many a when T is the Tangent of 
an Arc greater than 90% then, by writing — T, for T, in the 


Alſo = Tangent of their Difference; 


And 


= Cotangent of their Difference. 


above Expreſſion, the Tangent of the Sum is = — — 
—T +7 

"FX, 

Let t repreſent the Tangent of an Arc; x and y the Sine and 

2t 
1“ 


Coſine of Double that Arc ; then will x = 


z and y = 


Aa- the Sine and Coſine of Double the Arc of which 7 is 


* 27 y but? 
e Tangent; and F 8 won, the 


Tangent and Cotangent of Double the Arc of which : is the 
Tangent, 

lf x repreſents the Sine of an Are, and y its Coſine, then 
* 4 =1, Hence, a* = 1 —y®, or y =1—ax*, And 


V3: ions 255 = the Secant of the Arc whoſe Coſine is 5. 
JF 


Again, as : 1.3; 1 : — = the Coſecant of the Arc whoſe 
dine is x, 5 


The 


64. Solution of Spherical Problems, 


The following Theorem is of great Uſe in ſolving Spheri 
Problems algebraically, nne 


Put c and 4 = the Sine and Coſine of any Side of a ſphericy 
Triangle; e and F the Sine and Cofine of any other Side; ang 
put m = the Sine of their contained Angle, and 6 = the Cofire 
of their other Side. Then af + cem = 6. 


- Note, when any Arc is obtuſe, its Cofine muſt be repreſentes 
by a negative Quantity. | 


THE END OF THE INTRODUCTION: 


APPENDIX 


TO THE 


INTRODUCTION. 


At Page 254 of the Tables, is Table XXI, for finding the Sun's 
Right Aſcenſion, and Equation of Time ; and at Page 266 is Table 
XXII, for finding the Jan's Place and Declination for Leap Year, 
Firſt, Second, and Third Years after Leap Year; with the Years 

inted over from 1773 to 1788 incluſive, which will ſerve for common 
Purpoſes till the Year 1800. Thus, if you want to know the Declina- 
tion, &c, for any Year between 1788 and 1800, look in the Column 
of Leap Year, or Firſt, Second, or Third Year after Leap Year, as 
the Year may be, without regarding the Date of the Year ; and the 
Sun's Declination, ſo found, will ſeldom err more than 2 Minutes, fre- 
uently not 1 Minute. The Right Aſcenſion true to a Minute, and 
jv Equation of Time to 2 Seconds, &c.* 

For the Years 1792 and 1796, look in the Column of Leap Year, 

For 1789, 1793, 1797, ſee Firſt Year after Leap Year, 

For 1790, 1794, 1798, Second Year after Leap Year, 

For 1791, 1795, 1799, Third Year after Leap Year. 

N. B. Though in ſome late Books of Navigation which I have ſeen, 
the Dates of many more Years are given; their Tables will be very in- 
accurate after that Time; and indeed can never be exact for more than 
Four Years, viz. the particular Years for which they were calculated. 


n 


9 


5 

* If the Navigator wiſhes to have the Declination to a greater Exact- 
neſs, he muſl purchaſe annually an Almanack or Ephemeris, or New 
Table of Declination, &c. calculated for that particular Year. — The 
Author has an Intention of publiſhing, The MARINERS” and 
ASTRONOMERS' POCKET COMPANION ; containing, among 
other uſeful Articles, the Sun's Declination correfly calculated; in ſo 
{mall a Size as to lie in a Pocket-Book, or Letter-Caſe, Price only 
Six Pence, N. B. The Firſt Number to be publiſhed in February, 
1792, for the Year 1793 ; for the Accommodation of Officers going 
to Sea in 1792, whoſe Voyages may not be compleated till ſome ime 


in the Year 179g : and fo to be continued annually, in February, for 
the ſucceeding Y ears, 


The Epatt for 1791, is 23; for 1792, 6; for 1793, 17; 
for 1794, 28; for 1795, 9 ; for 1796, 20; for 1797, 1; for 1798, 
12; and for 1799, 23. 

„ ERRATA. In Page Firſt of Tables, for Log. 1.698900, read 
1.6989700. Page 157, in the Third Column, againſt the Dillance 
46, for 6.0, read 9.0. In Table XXI, for Degrees read Days. Page 


296, in the table, for Semi-Drameter, read Altitude. Page 338. Long. 
of Rodondo, for 61.15, read 62.25. Page 349, in * 1hid Co- 
lumn, for before First Quarter, read before First or Last Quarter. 
Same Page, for Table XX XV, read an Almanack, 


i 
LOG ARIT HMS: 
For Numbers increaſing orderly from 1 to 10000, 


with their Differences : 


Whereby the Logarithms of much larger Numbers 


may be readily found. 


Log. | 


N 


0.0000COO 
o. 30 10300 
04771212 
o. 6020600 
o. 5989700 
0.7781512 
0.8450980 
0.9030990 
9:95 45455 
1.00000900 
1.0413927 
1.0791812 
11139433 
1.1461 280 
1.1760912 


1.2041200 
1.2304489 
12552728 


Log. 


14149733 
14313637 
14471580 
1. 4623980 
14771212 


14913617 


1.5185 139 
1.5314789 
1. 5440680 
| 5503025 
1.5682017 
1.5797530 
1.5910646 
1.6020600 
1.0127838 
16232493 
16334684 


1. 505 15 0e 


Log. 


17075702 
17160033 
17242759 
17323937 
17403627 
1.748 1880 
17558748 
17634280 
1.77085 20 
1.77815 12 


1.785 3298 
11.7923917 


7993405 
8061800 


8129133 


8195439 
8260748 


8325089 


Log. 


. 8808136 
8864907 
1.892094 
18976271 
1. 9030900 
1. 9084850 
1.9138138 
19190781 
19242793 
19294189 
19344984 
19395182 
19444827 
19493900 
242425 
1.990414 
19637878 
19684829 


S Sn S + wt | 


1.278753 

1. 30 10300 
13222193 
13424227 
13617278 
1. 3802112 
1.3979 100150 


16434527 
165321287 
1.0027578 
1.672078 
1.6812412 
1.690196 1 
1.5989 oo 


1.9731278 
19777236 
1.982271 
1.586771) 
19912261 
991.9956352 
1001. go 


— 


8388491 

8450980 
8512583 
8573325 
8633229 
8692317 
1.870013 


rw | wo 
218 


122 
23 


I 
I 
l 
1 
I 
I 
1 
1 
I 
I 
1 


W © 
CE 


„ 


A TABLE ff 


O 


0000000 
0043214 
0085002 
0128372 


9170333 
0211893 


0253059 


0293838 
0334237 
0374205 
0413927 
| 2453230 
0492180 
0530784 
0569048 
0606978 
0644580 
0681859 
10718820 
0755470 
0791812 
0827854 
0863598 
0899051 
9934217 
ogg 10 
1003705 
1038037 
1072100 


1105897 


1139433 
1172713 
1205739 
1238516 
1271048 
1303328 


1335389 
1367206 
1398791 
1430148 
1461280 


| 


— 3 — 


0004 341 
0047511 
0090257 
0132587 
0174507 
0216027 


0257154 
0297895 
0338257 
0378247 
0417873 
0457140 
0496056 
05 34626 
0572856 
0610753 
0648322 
0685 569 


0722499 
0759118 
0795430 
0831441 
0867157 
0902580 


0937718 


0974573 
1007151 


1041455 


1075491 
1109262 


1142773 
1176027 
1209028 
1241780 


1274288 
12065 53 


1338581 
1370374 
1401937 
1433271 
1464381 
1495570 


2 


000867 7 
OO5 1805 


0094509 
0136797 
0178677 
0220157 
0261245 
0301948 
0342273 
0382226 
0421816 
0461048 


0499928 
05 38404 
0575561 
061 525 
065 2061 
0689276 
0726175 
0762762 
0799945 
0835026 
0870712 
0906107 
0941216 
0976043 
1010593 
1044871 
1078880 
1112025 


1146110 
1179338 
1212314 
1245042 
1277525 
1309707 
1241771 
1373541 
1405050 
1436392 
1467480 
1495347 


3 
0013009 
0056094 
0098756 
0141003 
0182843 
0224284 


0265333 


0305997 
0346284. 
0386202 
0425755 
046495 2 
0503797 
0542299 
0580462 
0618293 
0655797 
0692980 
0729847 
0766404 
0802656 
0838608 
0874264 
0909631 
0944711 
097951¹¹ 
1014033 
1048284 
1082266 
1115985 


1149444 
1182647 


1215598 
1248301 
1280760 
1312978 
1344958 
1370705 
1408222 
1439511 


1470577 
1501422 


TPO. 2" 
0017337 
0060379 
0102999 
0145205 
0187005 
0228406 


0269416 
0310043 
0350293 
0390173 
0429691 
0468852 
0507663 
0546130 
05 84200 
0022058 
0659530 
0696681 
0733517 
0770043 
0806265 
0842187 
0877814 
0913161 


094.5204 
0982975 
1017471 
1051694 
1085650 
1119343 


"1152770 


1155954 
1218880 
1251558 
1283993 
1316187 


1345144 
1379867 
1411301 
1412628 
1473071 
1504494 


1492191 


1 


0100 0 O0 0 010 0 0 02921 


ene ß . . 


WA 


3 


— 


LO GARIT HMS. 
5021661 | 0025980 | 0030295 | 0034605 | 0038912 4324 
0064660 | 0058937 | 0073209 | 0077478 | 00891742 || 4281 
0107239 | 0111473 | 0115704 | 0119931 | 0124154 || 4240 
0149403 | 0153597 | 0157787 | 0161973 | 0166155 | 4198 
0191163 | 0195317 0199467 | 0203613 | 0207755 4158 
0232524 | 9236639 | 0240750 | 0244857 | 0248960 || 4118 
0273496 | 0277572 | 0281644 | 0285712 | 0289777 4080 
0314085 | 0318123 | 0322157 | 0326188 | 0330214 |} 4042 
0354297 | 0358298 | 0362295 0366289 | 0370279 || 4004 
0394141 | 0398105 | 0402060 0406023 | 04099977 || 3968 
0433623 | 0437551 | 0441470 | 0445398 | 0449315 j| 3932 
0472749 | 0476642 | 0480532 | 0484418 | 0488301 3897 
0511825 | 0515384 | 0519239 | 0523091 | 0520939 || 3862 
0549958 | 9553783 | 0557605 | 0561423 | 0565237 || 3828 
| 0588055 | 05918346 | 0595634 | 0599419 | 0603200 3795 
0625820 | 0529578 | 0633334 | 0637085, | 0640834 || 3762 
0663259 | 0666985 | 0670708 | 0674428 | 0678145 || 3729 
0700379 | 0704073 | 0707765 | 0711453 | 0715138 || 3098 
0737183 | 0740847 | 0744507 | 0748164 | 0751818 [3666 
0773679 | 0777312 | 0780941 | 0784568 | 0728192 3636 
0809870 | 0813473 | 0817073 | 0820669 | 0824263 || 3605 | 
0845763 | 0849336 | 0852906 | 0856473 | 0860037 || 3576 
0881361 | 0884905 | 0888446 | 0891984 | 0395519 |} 3547 
0916669 | 0920185 | 0923696 | 0927200 | 0930712 || 3515 
0951693 | 0955180 | 0958664 0962146 | 0965624 3489 
09864.37 | 0989896 | 0993353 | 0996806 | 1000257 || 3462 
1020905 | 1024337 | 1027766 | 1031192 | 1034616 || 3434 
1055102 | 1058506 | 1051909 1065 308 | 1058705 }| 3408 
1089031 | 1092410 | 1095785 | 1099159 | 1102529 3381 
1122698 | 1126050 | 1129400 | 1132746 | 1156091 3355 
1150105 | 1159432 | 1162756 | 11606077 | 1169399 3329 
1189257 | 1192559 | 1195858 1199154 1202448 || 3303 
1222159 | 1225435 | 1228709 | 1231981 | 1235250 I 3279 
1254813 | 1258064 | 1261314 | 1264561 | 1267806 }| 3255 
1287223 | 1290450 | 1293676 | 1296899 | 1300119 |} 3230 
1219393 | 1322597 | 1325798 | 1328998 | 1332194 I} 3204 
1351326 | 1354507 | 1357685 | 1360861 | 1264034 || 3152 
1383027 | 1386184 | 1389339 | 1392492 | 1395543 || 3100 
1414498 | 1417632 | 1420765 | 1423895 | 1427022 [3137 
1445742 | 1448854 | 1451964 | 1455072 | 1458177 63114 
1476763 | 1479833 | 1482941 | 1486026 | 1489119 Þ 3992 
1507564 | 15106321 1513698 | 1519792 | 1519824 || 3970 


B 2 


A TABLE 


SLEW 


O | I 2 3 1 
142 || 1522883 | 1525941 | 1528996 | 1532049 | 1535100 
143 || 1553360 | 1556396 | 1559430 | 1562462 | 1565491 
144 || 1583625 | 1586640 [1589653 | 1592663 | 1595572 
145 || 1613680 | 1616674 | 1619666 | 1622656 | 1625644 
146 || 1643528 | 1646502 | 1649474 | 1652443 | 1655411 
147 || 1673173 | 1676127 | 1679078 | 1682027 | 168497; 
148 || 1702617 | 1705550 | 1708482 | 1711411 | 1714339 
149 || 1731863 | 1734776 | 17376088 | 1740598 | 1743506 
150 j| 1760913 | 1763807 | 1766699 | 1769590 | 1772478 
151 j| 1789769 | 1792645 | 1795518 | 1798389 | 1801259 
152 || 1318436 | 1821292 | 1824146 | 1826999 | 1829850 
153 || 1846914 | 1849752 | 1852588 | 1853421 | 1858253 
154 || 1875207 | 1878026 | 1880844 | 1883659 | 1886473 
155 || 1903317 | 1906118 | 1908917 | 1911714 | 1914510 
156 || 1931246 | 1934029 | 1936810 | 1939590 | 1942367 
157 || 1958996 | 1961762 | 1904525 | 1967287 | 1970047 
158 || 1986571 | 1989319 | 1992065 | 1994809 | 1997552 
189 || 2013971 | 2016702 | 2019431 | 2022158 2024883 
160 || 2041200 | 2043913 | 2046625, | 2049335 | 2052044 
161 || 2068259 | 2070955, | 2073650 | 2076344 | 2079035 
162 || 2095150 | 2097830 | 2100508 | 2103185 | 2105860| 
163 || 2121876 | 2124540 | 2127201 | 2129862 | 2132521 
164 || 2148438 | 2151086 | 2153732 | 2156376 | 2159018 
165 || 2174839 | 2177471 | 2180100 | 2182728 | 2185355 
166 || 2201081 | 2203696 | 2206310 | 220t92zz | 2211533 
167 || 2227165 | 2229764 | 2232363 | 2234959 | 2237554 
168 || 2253093 | 2255677 | 2253260 | 2260841 | 2263421 
169 || 2273867 | 2281436 | 2284003 | 2286570 | 2289134 
170 2304489 | 2307043 | 2309596 | 2312146 | 2314696 
171 || 2329961 | 2332500 | 2335038 | 2337574 | 2340108 
172 || 2355284 | 2357809 | 2360331 2302853 2305373 
173 || 2380461 | 2382971 | 2385479 | 2337986 | 2390491 
174 || 2405492 | 2407588 | 2410481 | 2412974 | 2415405 
175 || 2430380 | 2432861-| 2435341 | 2437819 | 2440296 
176 || 2455127 | 2457593 | 2460059 | 2462523 | 2464986 
177 |} £479733 | 2482186 | 2484637 | 2487087 | 2489536 
178 || 2504200 | 2506039 | 2509077 | 2511513 | 2413940 
179 2528530 | 2530950 | 2533380 | 2535203 2538224 
180 || 2552725 | 2555137 | 2557548 | 2559937 | 2562305 
181 || 2576786 | 2579184 | 2581582 | 2583978 | 2586373 
182 || 2600714 | 2603099 | 2605484 | 2607267 | 2010245 
183 ) 2624511 | 2626883 | 2629255 | 2631625 | 2053903 


LOGARITHMS. 


3 
1538149 
1568519 


1628630 
1658376 
1687920 
1717204 
17460412 
1775305 
1804126 
1832698 
1861084 


1889285 
1917304 
1945143 
1972800 
2000293 
2027607 
2054750 
2081725 
2108534 
2135178 
2161659 
2187980 
2214142 
2240148 
2205999 
2291097 
2317244 
2242641 
2207891 
2392995 
2417954 
2442771 
2407447 
401084 
2510382 
2540545 
2504772 
2588766 
2012629 


1598678 


2036361 


6 


1541195 
1571544 
1601683 


1631614 
1661340 
1690863 
1720188 
1749316 
1778250 
1806992 


1835545 
1863912 


1892095 
1920096 
1947917 
1975502 
2003032 
2030329 
2057455 
2084413 
2111203 


2137833 
2164298 


2190603 


2216750 
2242740 
2268576 
2294258 
2319790 


2345173 


2370408 
2395497 
2420442 
2445245 
2409907 


2494430 


2518814 
2543063 
2567177 
2591158 
2615008 
2638727 


7 


1544240 


1574508 
160468 5 
1634595 
1664301 


1693805 


1723110 
1752218 
1781132 
1809856 
1838390 
1866739 


1894903 


1922886 
1950690 
1978317 
2005769 


2033049 


2000159 
2087100 
2113876 
2140487 
2166936 


2193225 


2219356 
2245331 
2271151 
2296818 
2322335 
2347703 
2372923 
2397998 
2422929 
2447718 
2472305 


249087 4 


2521246 
2545.81 


2569581 


2593549 
2017385 


2641092 


8 


— — — —— 


1547282 
1577589 
1607686 
1637575 
1667260 
1690744 
1726029 
1755118 
1784013 
1812718 
1841233 
1866563 
1897709 
1925674 
195 3400 
1981070 
2008505 
2035768 


2062860 
2089785 
2116544 
2143139 
2169572 
2195845 
2221660 
2247920 
2273724 
2299377 
2324879 
2350232 
2375437 
2400498 


2425414 


2450189 
2474823 
2499317 
2523675 
2547897 
2571984 
2595939 
2619762 
2043455 


— Ge 
1550322 
1580608 
1610684 
1640553 
1670218 
1699682 
1728947 
1758016 
1786892 
1815578 
1844075 
1872386 
19005 14 
1928461 
1956229 
1983821 
2011239 


203848 5 


2065 560 
2092468 
2119211 


2145789 
2172206 


2198464 


2224563 
2250507 
2276296 
2301934 
2327421 
£342759 


2377950 


2402990 
2427898 
2452658 
2477278 


2501759 


2520103 
2550312 
2574386 
2598327 
2022137 


2645817 


| 


þ4 


3028 
3006 


2965 


2945 


2925 
2906 


2867 
2831 
2829 
2812 
2794 


2712 
2741 
2724 
2706 
2690 
2674 
2657 

2641 

2625 
260g 


2594 
2578 
2503 
2548 
2533 
2518 
2504 | 
2489 
2475 
2461 
2448 
2434 
2421 
2407 
2363 
2381 


2308 


A TABLE of 


No, 3:1 I 2 [nl Rep 
184 || 2648178 | 2650538 | 2652896 | 2655253 265760 
185 || 2671717 | 2674064 | 2676410 | 2678754 2681097 
186 || 2695129 | 2697454 | 2699797 | 2702128 | 2704455 
187 || 2718416 | 2720738 | 2723058 | 2725378 | 272769 
188 || 2741578 | 2743888 | 2746196 | 2748503 27 5080g 
189 || 2764618 | 2766915 | 2769211 | 2771506 | 277489 

F Brno 3k Wh Bun? it nn ll od 2... ti $f} 
190 | 2787536 | 2759821 | 2792105 | 2794388 | 2796669 
191 || 2810334 | 2812607 | 2814879 | 2817150 | 2819419 
192 || 2833012 | 2835274 | 2837534 | 2839793 | 2842051 
193 |} 2855573 | 2857823 | 2860071 | 2862318 | 286456; 
194 || 2878017 | 2880255 | 23882492 | 2834728 | 2886963 
195 || 2900346 | 2902573 | 2904798 | 2907022 | 2909246 
196 2922501 | 2924776 | 2926990 | 2929203 | 2931415 
197 || 2944662 | 2946866 | 2949069 | 2951271 | 2953471 
198 || 2906652 | 2968845 | 2971036 | 2973227 | 2975417 
199 || 2983531 | 2990713 | 2992893 | 2995073 | 2997251 
200 || 3010300 | 3012471 | 3014641 | 3016809 | 3018977 
201 | 3931961 | 3034121 | 3036280 | 3038438 | 304059; 
202 | 305 35 14 3055663 | 3057811 | 3959959 | 306210; 
203 |} 3074960 | 3077099 | 3079237 | 3981374 | 3083509 
204. || 3096302 | 3098430 [3100557 | 3102684. | 3104809 
205 3117539 | 3119657 | 3121774 | 3123889 | 3126004 
206 || 3138672 | 3140780 | 3142887 | 3144992 | 3147097 
207 || 3159703 | 3161801 | 3163897 | 3165993 | 3168087 
208 || 318c033 | 3182721 | 3184807 | 3180893 | 3188977] 
209 || 3201463 | 3203540 | 3205617 | 3207692 | 3209767 
210 || 2222193 | 3224260 | 3220327 | 3228393 | 3230457 
211 || 3242825 | 3244882 | 3246939 | 3248995 | 3251050 
212 || 3263359 | 3205407 | 3207454 | 3269500 | 3271545 
213 || 3283796 | 3285834 | 3287872 | 3289909 | 3291944 
214 || 3304138 | 3300107 | 3308195 | 3310222 3312246] 
215 || 3324385 | 3320404 | 3328423 | 3339440 | 3332457 
216 || 3344537 | 3346548 | 3348557 | 3350565335257 
217 || 3394597 | 3366598 | 3368598 | 3370597 | 3372595 
218 || 3384505 | 3386557 | 3388547 | 3399537 | 3392526 
219 || 3404441 | 3400424 | 3408405 | 3410386 | 3412306 
220 || 3424227 | 3426200 | 3428173 | 3430145 | 3432110 
221 j| 3443923 | 3445887 | 3447851 | 3449814 | 3451770 
222 || 2463530 | 3465486 | 3467441 | 3469395 | 347134 
223 || 3483049 | 3484996 | 3486942 | 3488887 | 3490832 
224 || 3502480 | 3504419 | 3506356 | 3508293 | 3510329 
225 || 3521825 | 3523755 | 3525084 | 3527612 | 3529539! 


7 "42 


jw ww 3. 3. Wo [wa a wa 


— I 3 — I 


LOGARITHMS. 


= 
——— 

2659904 
2683439 
2706788 
2730013 
2753113 
2770092 
2798950 
2821688 
2844307 
28668 10 
2889 196 
. — 
2933626 
2955671 
2977605 
2999420 
3021144 
3042751 
3064250 
3085644 
5106933 
3128118 
3149200 
3170181 
3191061 
3211840 
3232521 
3253104 
3273589 
3293979 
3314273 
3334473 
3354579 
3374593 
3394514 
3414345 
3434086 
3453737 
347 3390 


3492775 
3512163 


. 


_— 


[3531465 


6 


2662317 


2685780 
2709116 
2732328 
2755417 
2778383 
2801229 
2823955 
2846563 
2869054 
2891428 
2913688 


2935835 
2957869 
2979792 
3001605 
3023309 
3044905 
3066394 
3087778 
3109056 
3130231 
3151303 
3172273 
3193143 
3213913 
3234584 
3255157 
3275633 
3296012 
3316297 
3336488 
3356585 
3376589 
3396501 
3416323 
3430055 
3455098 
3475252 
3494718 
3514098 


3533391 


7 


2664669 


2688119 


2711443 
2734043 


2757719 
2780673 
2803507 
2826221 
2848817 
2871296 
2893659 
2915908 
2938044 
2960067 
2981979 
3003781 
3025474 


3047059 


3068537 
3089910 
3111178 
3132343 
3153405 
3174305 
3195224 
3215984 


3236645 


3257209 
3277675 
3298045 
3318320 
3338501 
3358589 
3378584 
3398488 


3418301 


3438023 
3457657 


3477202 
3496660 


3516031 
3535310 


2667020 


DAT 


2690457 
2713769 
2736956 
2760020 
2782962 
2805784 
2828486 
285 1070 
2873538 
2895889 
2918127 
2940251 
2962263 
2984164 
93955 
3027037 
3049212 
3070679 
2092042 


3113299 
3134454 


3155505 
3176455 
3197305 
3218055 
3238706 
3259260 
3279716 
3300077 
3329343 
33405 14 
3360593 
3380579 
3400473 
3420277 
3439991 
3459615 
3479152 
3498601 
3517963 


2669369 


271609 


3537239 


_— 


9 


2692794 
2739268 


2762320 
2785250 
2808059 
2830750 
2853322 


2875778 
2898118 


2920744 
2942457 
2964458 
2986348 
3008128 
3029799 
3951303 
3072820 
3094172 
3115420 
3136563 
3157605 


3178545 


3199384 | 


3220124 
3240760 , 
3261310 
3281757 
3302108 


3322364 


3441957 
3461573 


3481101 
3300841 


3519895 
3539162 


| 


MA TABLE & 


—— 
* 


No. 
226 
227 
228 
229 
230 
231 
232 
233 
234 
235 
236 
237 


238 


239 
240 
241 
242 
243 


244 
245 
246 
247 
248 
249 
250 
251 
252 


O 


3541084 
3560259 
3579348 
3598355 


| 3617278 


3636120 
3054880 
3673559 
3092159 
3710679 
3729120 
3747483 
3705769 
3783979 
3802112 
2820170 
3838154 
3856063 
387 3898 
3891661 
3909351 
3926969 
3944517 


3961993 | 


3979400 
39907 37 
4014005 


253 || 4031205 


£34 
235 
256 
257 
258 
239 


260 
261 


262 
263 
264 
265 
266 


| 
| 
| 
| 
' 
| 
| 
| 


| 
| 


4248337 
4065402 
4082400 
4099331 
4110197 
4132998 
4149733 
4166405 
4183013 
4199557 
4216039 
4232459 
4248816 
4265113 


3543000 
3562171 
3581253 
3600251 
3619166 
3638000 


3056751 
3075423 
3694014 
3712526 
37 30960 
3749316 


3707594 
3785790 
3803922 
3821972 
3839948 
3557850 
3875078 
3893433 
3911116 
3928727 
3946268 
3963737 


3981137 
3998467 
4015728 
4032921 
1050047 
4067 105 
4084096 
4101021 
4117880 
4134074 
4151404 
4168069 
4184670 
4201208 
4217684 
4234097 
4250449 
4.2067 39 


2 


3544926 
3564083 
3583156 
3602146 
3621053 
3639878 
365 8622 
3677285 
3695 869 
3714373 
3732799 
3751147 
3709418 
3787612 
38057 30 
3823773 
3841741 


3859636 


3877457 
3895 205 
3912880 


3930485 


3948018 
3905480 
3982873 
4000196 
4017451 


4034637 


4031755 


4068807 


4085791 
4102710 
4119562 
4130350 
4153073 
4.169732 
4186327 
4202859 
4219328 
4235735 
425 2080 
4268165 


3 


3540845 
3565994 
3585059 
3604040 
3622939 
3041756 
3660492 
3679147 
3697723 
3716219 
3734637 
3752977 
3771240 
3789427 
3807538 
3825573 


3843534. 


3861421 


3879235 
3896975 
3914644 
3932241 
3949767 
3907223 
3984608 
4001925 
4019172 
4036352 
4953404 
4070508 
4087 486 
4104398 
4121244 
4138025 
4154742 
4171394 
4187983 
4204509 


4220972 


4237372 
4253712 


1 4209999 | 


4 

3548764 
3567903 
3586961 
3905934 
3024825 
3643633 
3052 361 
3681008 
3600576 
3718065 
3736475 
3754807 
377306: 
3791241 
3509345 
3827373 
3545326 
8 
3881012 
3898746 
3916407 
3933997 
3951516 
3908964] 
3986343 
4003653 
4020893 
4038066 
4055171 
4072209 
4089180 
4106085 
4122925 
4139700| 
4150410 
4173056} 
4189638 
4206158 
4222614) 
4.239099 
4255342 
4271614 


EF cc , OE $823 _ 


— 


LOGARITHMS. 


C 


- 9 
7 6 7 Ei "6. 1 
3550682 | 3552599 | 3554515 | 3556430 | 3558345 || 1918 
3569813 | 3571723 | 3573030 | 3575537 | 3577443 || 1908 
588862 | 3590762 | 3592662 | 3594500 | 3596458 || 1901 
607827 | 3609719 | 3611610 | 3613500 | 3615390 || 1893 
3626709 | 3928593 | 3630476 | 3632358 | 3634239 || 1884 
3645510 | 3647386 | 3649260 | 3651134 | 3653007 || 1877 
664230 | 3666097 | 3667964 | 3665830 | 3671695 1869 
682869 | 3684728 | 3686587 | 3688445 | 3099302 || 1861 
3701428 | 3703280 | 3705131 3706981 | 3708830 || 1852 
3719909 | 3721753 | 3723596 | 3725435 | 3727279 || 1544 
3738311 | 3740147 | 3741983 | 3743817 | 3745651 || 1836 
3756636 | 3758494 | 3760292 | 3762118 3763944 |} 1829 
3774884 | 3770704 | 3778524 | 3780343 3782161 || 1822 
3793955 | 3794868 | 3796680 | 3798492 | 3800302 | 1814 
3811151 | 3812956 | 3814761 | 3816565 | 3818368 || 1806 
3829171 | 3830969 | 3832766 | 3834563 | 3830359 | 1798 
3347117 | 3848908 | 3850698 | 3852487 | 3854275 || 1791 
3864990 | 3866773 | 3868555, | 3870337 | 3872118 || 1784 
3882789 | 3884505 | 3886340 | 3888114 3889888 || 1774 
39005 15 | 3902284 | 3904052 | 3905819 | 3907585 || 1769 
3918169 | 3919931 | 3921691 | 3923452 | 3925211 || 1762 
3935752 | 3937506 | 3939260 | 3941013 | 3942765 || 1755 
395 3264 | 3955011 | 3956758 | 3958504 | 3960249 || 1748 
3970705 | 3972446 | 3974185 | 3975924 | 3977602 || 1741 
3988077 3959811 | 3991543 | 3993275 | 3995007 || 1734 
4005380 | 40071c6 | 4008832 4010557 4012282 || 1727 
4022614 | 4024333 | 4026052 | 4027771 | 4029488 || 1721 
4939780 | 4041492 | 4043205 | 4944916 | 4040027 || 1714. 
4056878 | 4058584 | 4060289 | 4061994 | 40536981707 
4073909 | 4075608 | 4077 397 | 4979095 4080703 || 1700 
4099874 | 4092567 | 4994259 | 4995950 | 4097041 || 1094 
4107772 | 4109459 | 4111144 | 4112829 | 4114513 || 1687 | 
412460; | 4126285 | 4127964 | 4125643 | 4131320 || 1680 
4141374 | 4143047 | 4144719 | 4146391 | 4148063 || 1674 
4158077 | 4159744 | 4161410 | 4163076 | 4164741 || 1667 
41747i7 | 4176377 | 4178037 | 4179695 | 4181355 || 1661 
4191293 | 4192947 | 4194601 | 4196254 | 4197990 || 1655 
4207806 | 4209454 | 4211101 | 4212748 | 4214394 || 1648 
4224257 | 4225898 | 4227539 | 4229180 | 4230820 || 1043 
4240645 | 4242281 | 4243915 | 4245550 | 4247183 || 1036 
4250972 | 4258601 | 4260230 | 4261858 | 4263486 || 1630 
4273238 | 4274801 | 4270484. | 4278106 | 4279727 1624 


_——————_— — 


— = — 2 
— —— —— — — 


— ——— — — * 
— — — 


A TABLE 


of 


268 


269 
270 
271 
272 
273 


274 
275 
276 
277 
278 


279 


280 
281 
282 
283 
284 
285 
286 
287 
288 
289 
290 
291 
292 
293 
294 


295 
296 


297 


298 
299 
IVY 
301 
302 
303 
304 
305 
306 
27 
308 


309 


| 


— — 


O 


4281348 


4297523 
4313638 
4329693 
4345089 
4361626 


437750 


4393327 
4409091 
4424798 
4440448 
4450042 
4471580 
4487003 
4592491 
4517804 
4533183 


4543449 


4503660 
4578819 
4593925 
4608978 
4623980 
4638930 
4653828 
4668676 


4683473 


4698220 
1712917 


4727564 


4742103 
4756712 
4771212 
4785665 
4800069 


4814420 


4828730 
4842998 
4857214 
4871384 
4885507 
4899585 


I A 
4282908 
4299137 
4315246 
4331295 
4347285 
4363217 
4379090 
4394900 
4410664 
4426365 
4442019 
4457598 
4473131 
4488608 
4504031 
4519399 
4534712 
4549972 


4565179 


4530332 
4595433 
4610481 
4625477 
4640422 
4055316 
4670158 
4084950 
4699692 
4714384 
4729027 
4743020 


4758164 
4772660 


4787108 
4801507 
4315859 
4830164 
4544422 
4858633 
4872798 
4886917 
4900999 


2 
4284588 
4300751 
4316853 


4332897 
4348881 


4364807 


4.350074 
4396484 
4412237 
4427932 
4443571 
4459154 
4474981 
4490153 
4595570 
4520932 
4530241 
4551495 
4566696 
4581844 
4595940 
4611983 
4626974 


4641914 


4656802 


4671640 


4686427 
4701163 
4715850 


47 30488 


4745076 
4759516 
4774107 
4788550 
4802945 


4817292 


4831592 
4845845 
486005 2 


4874212 
4888326 


4992395 


4 
4286207 
4392304 
4318460 
4334498 
4359470 
4350390 
4382258 
4398062 
4413809 
4429499 
4445132 
4400709 
4470231 
4491697 
4507109 
4522466 
4537769 
4553018 
4568213 
4583356 
4598446 
4613484 
4628470 
40434095 
4058288 
4673120 
4587903 
4702634 
4717317 
4731949 
4749533 
4701067 
4775553 
4789991 
4804381 
4818724 
4833019 
4847268 


48614704 


4875026 


4889735 
4903799 


4307985 


_y 


3 
4287825 
4303976 
4320067 
4336098 
4352071 


4333841 
4399639 
4415380 
4431065 
144092 
4462264 
4477780 
4493241; 
4508647 
4523998) 
4539296 
4554540! 
4569731] 
4584868 
4599953 
4614985 
4629966 
4644895 
4059774 
4674601 


þ 


4689378] 


4704105 
4718782 
4733410 


4747988 


4762518 


4776999 
4791432 
4805818 
4820156 
4834440 
484.8090 
862888 
4877039 
4891144 


+ > 


— 


„ r > Bolt ot 


— << - — —— . 


— 
W "Os 


4995203 


k. BS 


LOGARITHMS. 


479329 
494784 
4510184 
4525531 
4540823 
4556061 
4571246 
4586378 
4601458 


46b125 

656081 
469085 3 
4705575 
4720247 
4734870 
4749443 
4763968 
4778445 
4792873 
4807254 


4535873 
4850112 
4864305 
4878451 
4892552 
4906607 


— 


— 


4616486 


4631461 
4646386 


1821887 


a Wh, 
4291060 
4307199 
4323278 
4339298 
4355258 
4371161 
4387c05 
4402792 
4418522 
440344, 
4449811 
4405372 


4480877 


4496326 


4511721 
4527062 
4542349 
4557582 
4572762 


4692327 
4707044 
4721711 
4730329 
4750898 
4705418 


4779890 


4794313 
4808689 


4823018 
4837299 
4851533 


4865721 
4879863 


4893959 


4908009 


1 

4292677 
; 4308809 
4324883 
4340896 


4356851 


4372718 
4388587 
4404368 
| 4420092 
4435759 
4451370 
4466925 
4482424 
4497 868 
4513258 
4528593 
4543875 
4559102 


4574277 
4589399 
4604468 
4619485 
4634450 
4649354 
4664227 
4679039 
4693801 
4708513 
4723175 
4737788 
4752352 
4766867 
4781334 


4795754 
4810124 


1838725 
4852954 
4867138 
4881275 
4895366 


4824448 


* 


| 8 


| 4294293 
4310419 
4326487 
4342494 
4358444 
4374334 
4390167 
4405943 
4421661 
4437322 
4452928 


4483971 
4499410 
4514794 
45 30124 
4545400 
4560622 


4575791 
4590908 


4620984 
4635944 
465085 3 
4605711 
46805 18 
4695275 
4709982 
4724039 
4739247 
4753800 
4708316 
4752778 
4797192 
4811559 
4825878 
4840150 
4854375 
4868554 
4882686 


4896773 


4909412 


4910814 


4468477 | 


4605972 


| 

| 4295908 
4312029 
4328090 
4344092 


4375920 


4391747 
4407517 
4423229 
4438885 
4454485 
447 c0 29 
4485517 
4500951 
4516329 
4531654 
4540924 
4562142 
4577305 
4592417 
4007475 
4022482 


4652341 
4067194 
468 1996 
4696748 
4711450 
4726102 
47 40705 
4735259 
4759765 
4784222 
4798631 
4812993 
4822307 
4541574 
4855795 
4809969 
4884097 
4898179 
4912216 


4360035 


4637437 


C 2 


* * * 


— 


W 9 
* 


A TABLE 


of 


O 


4913617 
4927604 
4941546 
4955443 
4909290 


4983106 


4996871 
5010593 
5024271 
5037907 


50785 59 
5092025 
5105450 
5118834 
5132176 
5145478 
5158738 
5171959 
5185139 
5198280 
5211380 
5224442 
5237465 
5250448 
5203393 
5276299 
5289167 
5301997 
5314789 
5327544 
5340261 
5352941 
5365584 


5375191 
5390701 
5403295 
5415792 
5428254 
5440650 


5453071 


4915018 
4929000 
4942938 
4950831 
4979079 


4084484 


4998245 
5011962 
5025637 
5039268 
5052857 


5066403 


5079907 
5993370 
5106790 
5120170 
5133508 
5146305 
5160062 
$173279 
5180455 


5199522 
5212689 


6225746 


5238765 
5251744 
5264685 
5277588 
5290452 
5393278 
5316066 
5328817 
5341531 
5354207 
5366847 
5329450 
5392016 
5404546 
5417040 


5429498 


5441921 


5454305 | 


— 


2 


— — — 
4916418 


4930396 
4944329 


4958218 
497 2002 


4985862 


4999619 


5013332 
50297002 


5040629 
5054213 
5067755 
508125 5 
5094713 
5108130 
5121503 
5134840 


5148133 


5161386 
5174598 
5187771 
5 200903 
5213996 
5227050 
5240064 
5253040 
5265977 
5278876 
5291736 
5304558 
5317343 
3 3 39090 
5342500 
$355473 
5368109 


5380708 


$393271 
5405797 
5418288 
5439742 
5443161 


5455818 


3 


4917818 


4931791 
4945720 
4959604 
4973444 


4937240 


5000992 
5014701 
5028366 
50941959 
5055 569 


5069107 


5082603 
5096057 
5109409 
5122841 
5136171 
5149460 
5162709 
3125917 
5189086 
5202214 
5215303 
228383 
5241364 
2 
4. 


5280163 


5293020 
5395839 
5318619 
5331303 


5344069 


5386738 
5369370 
5381966 
5394525 
5407048 
$419535 


5431986 


5444401 
5450781 


— 


5445641 


— 
4919217] 
4933186 
4947110 
4960990 
4974825 
4988617 
5002305 
5016069 
5029731 
5043349 
5056925 
5070459 
5053950 
5097400 
5110808 
5124175 
5137501 
5150787 
5 104031 
5177236 
5190400 
5203525 
5216610 
5229656 
5242063 
5255631 
5268560 
5281451 
5294303 
5307118 
5319895 
5332035 
5345338 
5358003 
5370631 
5383223 


5395779 
5408298 
5420781 
5433229 


2 


* 


5455017 


LOGARITHMS. 


13 
wa 3 7 8 9 Dit. 
7570016 | 4922014 | 4923412 | 4924810 | 4926207 || 1399 
1934580 | 4935974 | 4937368 | 4938761 | 4940154 |} 1394 
1948500 | 4949890 | 4951279 | 4952607 | 4954056 || 1390 
196237 5 | 4963761 | 4905245 | 4960529 | 4967913 || 1355 
4976206 | 4977587 | 4973967 | 4959347 | 4981727 || 1351 
1289994 | 4991370 | 4992746 | 4994'21 | 4995499 || 1377 
5003737 5005 10g | 5006481 5007852 | 5009222 1372 
c017437 | 5918805 | 5020172 | 5021539 | 5022905 1368 
c031094 | 5932458 5033821 | 5035183 | 5036545 1363 
5044709 5946068 | 5047426 | 5048785 | 5050142 Þ| 1360 
:058280 | 5059635 | 5060990 | 5902344 | 5053097 || 1355 
:071810 | 5073160 | 5074511 | $075860 | 5077210 IN 1351 
:085297 | 5080644 | 5087990 | 5989335 | 5990680 1347 
:098743 | 510008; | 5101427 | 510270d | 5104109. 1343 
5112147 | 5113485 | 5114823 | 5116160 | 5117497 1339 
5125810 5120844 | 5128178 | 5129511 5130844 || 1335 
5138832 | 5140162 [5141491 5142820 | 5144149 1331 
5152113 | 5153439 | $154764 | 5156089. | 5157414 |} 1326 
:105354 | 516667 | 5167997 | 5169318 | 5170639 || 1323] 
5178554 | 5179872 | 5181189 5182506 | 5183823 || 1318 
5191715 | 5193028 | 5194342 | 5195655 | 5196968 I 1315 
5204835 | 5206145 | 5207455 | 5203704 | 5210073 || 1310. 
5217916 | 5219222 | 5220528 5221833 | 5223138 1306 
5230958 | 5232260 | 5233562 | 5234863 | 5236164 || 1302} 
5243961 | 3245259 | 5246557 | 5247854 | 5249151 || 1298 
5256925 | 5258219 | 5259513 | 5260807 | 5262100 || 1294 
5269851] 5271141 | 5272431 | 5273721 | 5275010 1291 
5282738 | 5284024 | 5285311 | 5286596 | 5287882 || 1287 
5295587 | 5296869 | 5298152 | 5299434 | 5300716 || 1284 
15308398 | 5309677 | 5310955 | 5312234 | 5313512 || 1250 
5321171 | 5322446 | 5323721 | 5324990 | 5320270 || 1276 
5333907 | 5335179 | 5335450 | 5337721 | 5338991 || 1272 
5346506 | 5347874 | 5349141 | 53509408 | 5351675 || 1268 
5359267 5360532 | 5361795 | 5363059 | 5304322 || 1264 
5371892 | 5373153 | 5374413 | 5375672 | 5370932 || 1261 | 
5384481 | 5385737 | 5386994 | 5388250 | 5389506 || 1258 
5397032 5398286 | 5399538 | 5400791 | 5492043 || 1253 
5499548 | 5410798 | 5412047 | 5413296 | 5414544 || 1250 
5422028 | 5423274 | 5424519 | 5425705 | 5427010 || 1247 
5434472 | 5435714 | 5430950 | 5438198 | 5439439 || 1243 
5446880 | 5448119 | 5449358 | 5459590 | 5451834 || 1239 
5459253 | 54604891 5461724 | 5462958 | 5464193 1236 


Se —— 
— ——  <_ 


A TABLE 


of ; 


| 5405427 


5477747 


5490033 
| 5502283 


6 || 5514500 


| 55260682 


| 5538830 
| 5550944 
5563025 


$575072 
5587086 


5599056 


5611014 


5622929 
5634811 
5646661 


| 5058478 


5670264 
5682017 


5693739 


5705429 


5717088 


5728716 


5740313 


3843312 


585 4607 
5865873 


8877110 
5388317 
5899496 


390 || 5910046 


391 
392 


293 


5921708 
5932851 


59+3925 


I 
5466660 


5478977 
5491259 
5503507 
5515720 
5527898 
5540043 
5552154 
5564231 
5576275 
5588285 
5600262 


5612207 
5624118 
5635997 
5647844 
5659658 
5671440 
5683191 
5694910 
5706597 
5718252 
5729877 


574147 1 


5753033 
5764565 
5776067 
5787538 
5798979 
5810389 


5821770 


5833122 
$544443 
5855735 
5866998 
5878232 
5889436 
5900612 
5911759 
5922878 
5933908 
$9453 CID 


2 


8457894 


5480207 
5492486 
55047 30 
5516939 
5529114 
554125 

5553362 
5555437 
5577477 
5589484 


560145 8, 
5613399 


5625 308 
5637183 
5649027 
5660838 
5672617 
5684364 
5696080 


5707764 


5719416 


5731038 
5742628 


5754188 
5765717 
5777215 
5788683 
5800121 
5811529 
5822907 
5834255 
5845574 
5856863 
5868123 


5879353 


5890555 
5901728 
5912873 
5923988 
5935076 
5946135 


"=: 


5409126 


5481436 
5493712 
5505952 
5518158 
330330 


5542468 
5554572 
5566643 
5578680 


5590683 
5602654 
5614592 
5626497 
5038309 
5650209 
5662017 


5673793 


5685537 
5697249 
5708930 
5720580 
5732198 
5743780 
$755342 
5766868 
5778363 
5789828 
5801263 
5812668 


5824043 
5835388 
5846704 
5857990 
5869247 
5880475 
5891674 
5902844 


5913985 


5925098 
5930183 


$947239 | 5948344 


EEE. WY 
5470359 
548 2669 
5494937 
5507174 
5519377 


3531545] 


5543680 
5585781 
5507848 
5579881 
5591882 
5003849 
59015784 


5927685 | 


5639555 
5051392 


5663 196 


5074969 
5080710 


5098419] 
5710097 | 
5721743 
5733358 
6744943] 


$750496 | 


5768019 
$779511 


5799973] 


5802405 


5813807 


5825179 


5836821 
5847834 
5859117 


5870371 


5881596 } 


5892792 
5903959 


5915098 
5926208 


5937290 


q 


h 


b 


—_— 


LOGARITHMS. 


15 


0 
3 


1 
547159 
5483894 
5496162 
5508390 
15520595 
| 5532700 
5544892 
5556989 
5569053 
5581083 
5593080 
5605044 
5016975 
5628874 
5640740 
5652573 
5664375 
5676144 
5687882 
5699588 
5711263 
5722906 
5734518 
5746099 
5757650 
5769169 
5780659 
5792118 
5803547 
5314945 
5626314 
9358554 
5848903 
5860244 
5871495 
5882717 
5893910 
590507 
5916210 
5927318 
5938397 
7949447 


3 r e 


6 


— 


5472823 
5485123 
5497387 
5509618 
5521813 
833075 
5540103 
5558197 
55702657 
5582284 


5594278 
5606239 
5618107 
56630002 
5641925 


5653755 


5665553 


5677320 


5089054 
5700757 
5712428 
5724069 
5735678 
5747250 
5758803 
5770320 
5781806 


5793262 
5804688 


5816084 


5827450 
5838786 
5850093 
5861370 


5872618 


5883838 
5895028 
5906189 
5917322 
5928427 
53939503 
5950551 


2 


5474055 
5486351 
5498612 
5510839 
5523031 


389 


5547314 
5559404 
55/1461 
5583485 
5595476 


5607433 


5619358 
5631250 
5643109 
5654936 
5666731 
5678494 
5690226 
5701926 
5713594 
5725231 
5736837 
9248412 


5759956 
5771470 
5782953 
5794406 
5805829 
5817222 
5828585 
5839918 
585 1222 
56862496 
5873742 
5884958 
5890145 
$907 304 
5915434 
592953 


| 5940009 
5 


951654 


8 


5475286 
5487578 
5499830 
5512059 
5524248 
5530403 
5548524 
5560612 
5572665 
5584686 
5596673 
5608627 
56205 48 
5632437 
5644293 
5656117 
5667909 
5679669 
5691397 
3703094 
$714759 
5720393 
5737996 
5749508 
5761109 
5772620 
5784100 


579555 
5806969 


15818359 


5829719 
5841050 
5852351 
5863622 
5874865 


5886078 


5897202 
5908418 
5919546 
5930644 
5941715 


| 


9 
547651 
5488806 
5501060 
5513280 
5525465 
$537017 


5549735 
5561818 


5573869 
5585886 
5597870 
5609820 
5021739 
5633624 
5645477 
5657298 
5669087 
89680843 
5692568 
5704262 
5715924 
5727555 
5739154 
5750723 
5762261 
5773769 
5785246 
5796693 
5808110 
5819497 
9830854 
5842181 
5853479 
5864748 
5875987 
5887198 
5898379 
5909532 
5920657 
9931753 
5942820 


22 


1229 


1181 


Dif | 


1232 


I225 
I221 
1218 
1215 


1212 
1208 
1205 
1202 
1198 
1195 
1191 
1189 
1185 


1179 
1175 
1172 


1169 


1165 


1163 
1160 
1156 
1154 
i150 
1148 
1145 
1142 
1138 


1135 
1132 
1129 
1127 
1124 
1121 


1118 


1116 
1112 
1110 
1107 


1103 


5952757 


= —_— 


A TABLE 


of © 


? 
R — 0 


''y to 


— 


O 


5954902 
5965971 
5970952 
5987905 
5998831 
6009729 
6020600 
6031444 
6042261 
605 3050 
6063814 
6074550 
6085 200 
0095944 
6106602 
6117233 
6127839 
6138418 


6148972 
6159501 
6170003 
6180481 
6190933 
6201360 
O211703 
6222140 
9232493 
0242821 
0253124 
© 203404 
9273059 
6283889 
6294096 
6304279 
6314438 
6324573 
033403; 
034477 

0354837 
6364879 
6374897 


0384893 


| 


5956064 
5967070 
5978048 
5988999 
5999922 
6010817 
6021685 
6032527 
6043341 


6054128 
6064888 


6075622 


6086330 
6097011 
6107666 
6118295 
6128898 
6139475 
6150026 
61605552 
6171052 
6181527 
6191977 


6202402 


6212802 


6223177 
0233527 
0243852 
0154153 
0204450 
6274083 


6284911 


6295115 
6305296 
0315452 
0325585 
0335094 
0345780 
6355843 
6365 882 
6375898 
6385891 


2 


5957166 
5968169 
5979145 
5990092 
6001013 
6011905 
6022771 
603 3609 
6044421 
6055205 
6065903 


6076694 


6087399 
6098078 
6108730 
6119356 
6129957 
6140531 
6151080 
6161603 
6172101 
0182573 
6193021 
6203443 
6213840 
6224213 
6234560 
6244884 
6255182 
626545 / 
0275707 
0285933 
6290134 
6306312 
6316467 
0320597 
6336704 
6346788 
6356848 
6365854 
6376898 
6386889 


3 
5958268 
5969268 
5980241 
5991186 
6002103 
6012993 
6023856 
6034692 
6045500 
6056282 
6067037 
6077766 
6088468 
6099144 
6109794 
6120417 
6131015 
6141587 
6152133 
6162654 
6173149 
6183619 
6194064 
6204484 
6214879 
6225249 
0235594 


0245915 
6256211 


62064.33 
6270730 
6286954 
6297153 
6307329 
6317481 
6327609 
0337713 
6347794 
0357852 
60367837 
0377398 
6387887 


'6195107 


4 
— 


5959309 
5970367 
$981336 
$992279 
6003193 
6014081 
6024941 
6035774 
6046580 
6057359 
6068111 
6078837 
6089537 
6100210 
611087 
0121478 
6132073 
6142643 
6153187 
6163705 
6174197 
6184665 


6205524 
0215917 
6220284, 
6236627 
6246945 
6257239 
6267509 


6277754 
6287975 
6298172 
6308345 
6318493 
6328620 
6338723 
6348501 
6358857 
6368889 
6375898 


6388884 


. wag ]., 


__ „ wn P 7m. y ̃] . p ͤ , , e 


LOGARITHMS. 


bogo605 
6101276 
6111921 


6122539 
6133132 
6143098 
6154240 
6164755 
6175245 
61857 10 
6196150 
6206505 


6216955 
6227320 


6237660 
6247976 
6258267 
62685 34 
6278777 
6288996 
6299190 
6309361 
6319508 
6329632 


6 


— —— 


5961571 
5972563 
5983527 
5994464 
6005 373 
6016255 


6027109 
6037937 
6048738 
60595 12 
60 


6080979 
6091674 
6102342 
6112984 


6123599 
6134189 
6144754 
6155292 
6165805 
6176293 
6186755 


6207605 


6228355 
6238693 
6249000 
6259295 


6269559 


6279800 


6290016 
6300208 


6310377 


6320522 


6330543 


6340740 


6350814 


6360865 


6370893 | 
6380897 


6390879 


5973660 


5904088 
599555 
6006462 


6017341 
6028193 | 


6039018 


6049816 


6060587 
6071332 


6082050 


6092742 
6103407 | 6 
6114046 
6124660 


6135247 


6145809 


6156345 
6166855 | 616 


6177340 
6187800 
6197193 
— 6208645 


6217992 


6198235 


62 19030 
6229390 
6239725 
625003 
6260322 
6270585 
6280823 
6291036 
6301226 
6311392 
6321535 
6331053 


6341749 


6157397 
167905 


6178387 
6188845 


6199277 


6209684 


6220067 


6230424 


6240757 


6 | 6251066 


6261350 


6271610 
6281845 
6292057 
6302244 


6312408 
6322548 
633264 
6342757 


6352826 
6362872 
6372895 


6382895 


| 6392872 


* 


9 


5964871 


5975855 
5986811 


5997739 


6008640 
6019514 
6030361 
6041180 
6051973 


6062738 | 


6073478 | 
6084190 | 


6094877 


| 6105537 |] 


6116171 


6126779 | 


6137361 
6147918 


6158449 


6168954 || 


6179434 || 
6189889 |] 


6200319 
6210724 
6221104. 


6231459 ||. 


6241789 
6252095 
6262377 


6272634. 10 
6282867 102 


6293076 
6303262 


6313423 


6323560 


6333074 

6343765, 
353832 

6363876 


6373896 


6383894 
6393929. 


2 


ꝓ— — 


— — 


F ts 


* 


n 


A TABLE of © 


0 
6394865 
6404814 
0414741 
6424645 
6434527 
6444386 
6454223 
6464037 
0473830 


| 6483600 
6493349 


0503975 
6512780 
6522463 
6532125 
6541765 
6551334 


| 6560982 


6570559 
6580114 


6589648 
6599162 


8. || 6608655 
6618127 


6627578 
6637009 
66464.20 
6655810 
6665180 
66745 30 
6683859 
6693169 
0702459 
6711728 
6720979 
67 30209 
6739420 
6748611 
6757783 
6766936 
6776069 
6785184 


| 


f 


6395861 
6405 808 
0415733 
6425634 
0435514 


0445371 


645520 

3 
6474808 
6484576 
6494322 


6504047 


6513749 
6523430 
6533090 
6542728 
0552345 
6561941 


6571515 


3 
590601 
25 

9603 
6619073 


6628522 


6637951 
6647360 
0656748 
6666116 
6075463 


6084791 | 
6694099 | 
6703386 | 


6712054 
6721903 
6731131 
6740340 


67495 29 


6759700 
6767850 
6776982 
6786094 


2 


6396857 
6406802 


6416724 


6426623 
6436500 


6446355 
6456187 | 


6465997 
0475785 
6485552 


6524397 
6534055 
6543691 


6553306 | 


6562899 


6572471 
6582023 


6591553 


6601062 J 66 


6722826 
6732053 
6741260 
6750447 


67596015 
6768764 


6777894 
6787004. 


| 6495296 | 
6505018 | 


6514719 


3 


6397852 


0407795 
6417715 
6427612 
6437487 


6573427 


6582976 
6592505 
020h2 
6611499 
6620964 


6630410 
6639835 


6649239 


6658623 


6667987 
6677331 
6686654 


6695958 
6705 242 


6714506 


6723750 
6732974 
6742179 
28955 

760531 
6769678 
6778805 


6787914 


6574383 
6583930 
6593456 
6602962 
6512446 
6621910 


60313 

— 
6650178 
6659560 
6668922 
6678264 
6087585 
6696887 
6706169 
6715431 
6724073 
6733896 
6743099 
6752283 
6761447 
6770592 
6779718 


* 


6788824 


D 


* ——————— — yy... . cc 


—_ Www: Gan 
—_— * 

. 

10 0 

to 1 ON pp -—- OS 

” Ro Oo we 

— 10 

1+» »w © © © 


— DO 4 ww 


S1 


onus 


19 

MS. 

LOGARITH T5 TÞ| 
8 — — 

2 18 6403820 995 
ee Fe 4 6% | 6413749 | 995 | 
5709842 0400837 6411765 4 2666 6423656 238 
6409781 620868 pry ng Popeye 6433540 | 988 

596 6431565 644340 
42585 6430577 . 1 1 
6439459 9440445 6451274 | 045 6463057 | 982 
6449307 = 6461095 2717 6472851 978 
470137 64601 6470894 | 64 6482624 
1099 6480671 | 64 6492375 
e645 6502104 
6478718 6 8 2 49 6 01132 5 970 
18945 6500160 | 65 6511811 | 970 | 
255 | ood? 25 657959 | 355,96 | 9 
4 19861 52 68021160 
975855 68728285 3 7 brane 962 
224 987085398 65 50423 
2590 6537912 8 0549402 3 * 8 
6645578 6547539 6558105 95590 4 6569602 || 95 
ns 4 2 | 6 688% | "95 
e e Eo 
tee 4573358556775 ese Lene 947 
Geher hog8eo | Googog 6010056 | Conpges yt 947 
6603911 + 6615287 6626634 — | 
6613393 2 6624745 8 55 6636067 | +4 | 
6622855 | 6623 6634182 | 6635125 6645480 | 94 | 
6 | 6633239 6644539 6654872 939 a 
_ 0042058 8 55933 — 937 |, 
5 665 2056 6662371 roots 6673595 pg, \ 
6660497 | 6661434 6671727 | 6672 5 | 6682927 | _933| 
475% 688013 66817865 6681995 5 925 
6679197 | 2950130 6690378 | 66913 6701530 9 
1 | 669994 | 6699074 | 70089: t 25 
6697816 | 65g 6708950 304 craoote bi 995 
670802 3 6 | 671913 287] 9 
6707096 281 | 671820 6728305 | 6729 921 
6716356 6717 6 27442 7 6738500 * 
Marta 8 2 0737579 8747885 919 
6744018 060097 6755034 255 915 915 
6753200 | 67 64192. 677515 
nee | 6763277 32. 763362 7441 
6771505 | 677241 e 2 
0780629 0781540 6791552 | 67924 — 7 
5789734 | 6790643 


T7 * 
— 


4A TABLE of 


_519 


| 


* 
6794279 
6803355 
6812412 


6821451 
6830470 
0839471 
0848454 


6857417 
6866363 


6875290 


6884198 


6893089 
69019061 
6910815 
6919651 


7024305 
7032914 
7041505 
7050080 
7058037 
7067178 
7025705 
7084209 
7992700 
7101174 


719631 


7118072 
7126497 
7134905 
7143298 
7151674 


I 
0795187 
6884262 
6813317 


6822354 
6831371 


700790? 
7016543 
7025167 
7033774 


7042363 


79250936 
7059492 
7068031 
7070553 
7085059 
7093548 
7102020 


7110476 
7118915 
7127339 
7135745 
7144136 


2 

6796096 
6805 168 
6814222 
6823256 
6832272 
6841269 
6850248 
6859208 
6868149 
6877073 
6885978 
6894864. 
0903733 
6912584 
6921416 
6930231 
6939027 
6947806 
6956568 
6965311 
6974037 
6982746 


6991437 


7000111 
7008767 
7017406 
7026028 
7034033 
7043221 
7051792 
7000347 
7068884 
7077405 
7085908 


7094396 
7102866 


— —— 


7111321 


7119759 
7128180 


7136585 
7144974 
7153347 


3 


6797004 
680607 

6815146 
6824159 
65833173 
6842168 


7009632 
7018269 
7026890 
7035493 
7044079 
7052649 
7061201 


7069737 


7078256 
7086758 
7095244 
7103713 
7112165 
7120601 
7129021 
7137425 
7145812 
2154183 


6834053 


| 


* 4 . 


— . 


679791; 
6800980 
6165 
6825061 
6843066 
0852041 


6860998 | 


6£69936 
6878855 


6887757 
6896640 


6905 505 


6914352 


88 
31991 
694078; 
9949560 
6958318 
6967058 
6975780 
6984485 
6993173 
7001843 
— 
7010496 
7019132 
7027781 
7036352 
1044937 
7953595 
7062055 
7070589 
7079107 
= 
709g 
7104559 
7113010 
7121444 
7129862 
7138264 
7146650 


——__y— — — ——_—___——_—e m ẽůmwm s e 


7155019 


— 


_ 


7152510 


- 
— - 
OO 
I 

8 — 


0 
* 
* 


* 


_— 
. 
1 


. 
2 

my ws C# 
A 

9 

hd - 


21 
| MS. 
—— — _. 
Es 8 ä 8 
— 6802449 | 90 
4 8 _ Sor gar 680244 906 
of 'B | — | 6800634 602 | 6811507 
Gan | cbr: | egg? | ono 552% 8. 
88 681 8 22 
6807 4 | 6817838 6827766 2 6838572 || goo 
681693 6826865 6773 | 6837673 847556 | 89g 
6825963 873 | 683677 6846659 6847556 
6835 7 845761 ba 6522 | 897 
6334973 684486 0845701 6855026 68565 894 
6843955 8885 5854730 6804575 | 6865469 892 
6352938 6862787 672673 6873506 6857356 891 
6861892 21 7 82418 88 
rome bogus mt ol 6891312 n 887 
687974 $ | 29 00188 | 0901074 
_ 689857. 5528278 6855465 6909930 38: 
—— I I { 
1 | pes | re Ed 
6932072 9505 | 6332785 95 3995 282875 875 
6941663 6951313 | 6952 5061876 6962690 | 
9513 ——— 696181 1 873 
es | es 5 | Gr70r4g Gora; | 822 
EFF EAE 
7 : 3 868 
6977523 387093 09879 7510 
6970652 | 6c 24 | 698709 6643 | 69975 866 
6985355 855550 | 9995776 | —_ — 7006172 865 
5 n 7913953 | 7014816 863] 
7002709 7012225 | 7013089 Ante 7023444 861 
7011361 78555 7021719 3 heb $a 860 
7028875 78 75 heats 7939788 N 57} 
102 1 | 703 8366 | 7 855 
| 7037212 | bs} 7047507 2 os 7957782 12 
2 he pot bo 105002 — 700048 853 
1954 29%" 2 2004617 8 | 7074850 
7062910 | 7063764 | 5 6 | 707399 2 
7062910 70 2294 707314 o82509 7083359 840 
1071442 72882 7081659 | 7 1003 | 7091851 848 
7979957 | 70 n l 
7988456 4 7098633 7197941 eee "7 
t e | 127098 7116485 | 7117229 | B44 
2 8 15542 7125 
* 42 7124813 65 | 841 
7113854 50 7123971 133225 7134065 840 
[7122287 | 71231: 7132385 | 7 6225 7142459 818 
7130703 718 7140782 A, Hake 7 150837 337 
* 7 Fae 44 8 715919 
I 74 2 - 


— - 
— — 

—ñ— — — 

— — 


— 
— ̃ ———— — 


4 TABLE of. 


O 


7160033 


7168377 
7176705 
7185017 
7193313 


7201597 


7209857 
7218106 
7226339 
7234557 


17242759 


71250945 
7259116 
7267272 
7275413 
7283538 
7291648 


1299743 


7307823 
7315888 
7323938 
7331973 
7339993 
7347998 


7355989 
7363965 
7371926 


7379873 
7387806 


7395723 


7403027 
7411516 
7419391 
7427251 
7435098 
7442930 


7450748 


7160869 
7169211 
7177537 
7185847 
7194142 
7202420 
7210683 
7218930 
7227162 
7235378 
7243578 
2351793 
7259933 
7268087 
7276226 
7284349 
7292458 
7300551 
7308630 
7316693 
7324742 
7332775 
7340794 
7345798 
7350787 
73047062 
7372722 
7 3890667 
7388598 
7399514 
7404416 
7412304 
7420177 
7428037 
7435881 
7443712 
7451529 
7459332 
7467120 


| 


] 
1 


* 


2 


7161703 
7170044 
7178309 
7186677 
7194970 
[203247 
7211508 
7219754 
7227984 
7236198 
7244397 
7252581 
7260749 
7268901 
7277039 
7285161 
7293268 


7391360 
7309437 
7317499 
7325546 
7333578 
7341595 
7349598 


7357585 
7365558 
7373517 
7381461 
7389390 
7397395 
7405206 
7413092 
7420904 
7428822 
7436665 


7444495 
7452310 


7460111 
7467 898 
7475672 
7483431 
7491177 


8 


3 
7162538 
7170877 
7179200 
7187507 
7195799 
7204074 
7212334 
72 
7228806 
7237019 
7245216 
7253398 
7261565 
7269716 
7277852 
7285972 
7294078 


7302168 


7310244 
7318304 
7326350 
7 334380 
7342390 
7359397 
7358383 
7306355 
7374312 
7382254 
7390182 
7398096 
7495995 
7413880 
7421750 
7429007 
7437449 
7445277 
7453091 
7400899 
7468676 
7470448 
7484206 


7491950 


— 
4 


— 
7163373 
7171710 
7180032 
7188337 
7196627 
/ 204901 


7213159 


| 7221401 


7229628 
7237839 
7 246035 
{254215 
7262380 
7270531 


72786644 


7286784 
7294888 
7 392977 
7311051 
7319109 
7327153 
7335182 
7343197 
7351196 
7359181 
7367151 


7375107 


7383048 
7390974 
7398886 
7 406784 
741 4668 
7422537 
7430392 
7438232 


7446059 


7453971 
7461670 
7409454 
7477225 
7484981 


7492724 


— 


— a6 


BB en its. at ih. ALLA: Cana. f BB: 2 _— 4. JR. Ae_ 


LOGARITHMS. 23 

6 RET! | 8 Diff. 
5 . ASER „ 
7164207 ' 7165042 | 7165876 | 7166710 | 7167544] 834 
17172543 | 7173376 | 7174208 | 7175041 | 71758730} 833 
1180863 | 7181694 | 7182525 7183336 [71841861 831 
7189167 | 7189996 7190826 | 7191655, [7192484 830 
1197455 | 7198283 | 7199111 | 7199938 | 7209766 | 828: 
1205727 | 7206554 | 7207380 | 72082 7229032 || 826 | 
1213984 7214809 | 7215633 | 7216458 | 7217282 | 825 
1222225 | 7223048 | 7223871 | 7224694 | 7225517 | 824 
1230450 | 7231272 | 7232093 | 7232914 | 7233736 | 822 
17238660 | 7239480 | 7240300 | 7241120 | 7241939 | 821 
7246854 | 7247672 | 7248491 | 7249309 | 7250127 | 319 
7263196 | 7264012 | 72604827 | 7265642 | 7266457 | 816 
1271344 | 7272158 | 7272972 | 7273786 | 7274599 | $14 
7279477. | 7280290 7281101 | '7281914 | 7282726 | 813] 
1287295 | 7288406 | 7289216 | 7290027 | 7290838 2 
1295697 | 7296507 | 7297316 | 7298125 | 7298934. 909 
1393785 | 7394593 | 7395400 | 7306308 |,7307015 | 88 
7311857 | 7312663 | 7313470 | 7314270 | 7315082 Zo6 | 
7319914 | 7320719 | 7321524 | 7322329 | 7323133 | 805 
1327957 | 7328760 | 7329564 | 7330367 | 7331170 | 804 
17335985 | 7336787 | 7337588 | 7338390 | 7339191 | 803 
1343997 | 7344798 | 7345598 | 7346398 | 7347198 | 800 
17359979 | 7360776 | 7301574 | 7302371 | 7303168 | 798 
7307948 | 7368744 | 7369540 | 7370335 | 7371131 | 797 
7375902 | 7376696 | 7377491 | 7378285 | 7379979 || 795 
17383841 | 7384634 | 7385427 | 7386220| 7387013 [ 793 
17391766 | 7392558 | 7393350 | 7394141 | 7394932 || 792 
1399677 | 7400467 | 7401257 | 7492047 | 7402837 | 791 
1497573 | 7408302 | 7409151 | 7409939 | 7410728 | 789 
7415455 | 7416243 | 7417030 | 7417817 | 7418604 | 787 
7423323 | 7424109 | 7424895 | 7425080 | 7426466 || 786 
1431176 | 7431961 | 7432745 | 7433539 | 7434314 || 784 
7439915 | 7439799 | 7449582 | 7441365 | 7442147 || 783 
1449841 | 7447622 | 7448404 | 7449185 | 7449967 || 782 
7454652 | 7455432 | 7456212 | 7456992 | 7457772 [781 
7462449 | 7463228 | 7464006 | 746478; | 7465564 || 779 
1470232 | 7471009 | 7471787 | 7472504 | 7473341 775 
17478001 | 7478777 | 7479553 | 7480329 | 7481105 | 776 
7485756 7486531 | 7487309 | 7488080 7488854 77; 
1493498 | 7494271 | 7495044 | 7495817 | 7496590 774 


4 TABLE 


of 


—_ 


7497 363 
7505084 
4494 $ 
75204 

7528164 
7535831 
7543493 
87 
7559749 
7586387 
7573960 
7581546 
7589119 
7596678 
7604225 
7611758 


7619278 


7626786 
7634280 
7641761 
7649239 
7656686 
7664128 
7671559 
7078976 
7686381 
7693773 


7701153 
7708520 


7715875 


7723217 
7730547 
7737864 
7745170 
7752403 
7759743 
7707012 
7774268 


7781513 


7788745 


7795965 
7803173 


—_ 


| 


— —— a. Ah. a 


7498136 
7595855 
7513561 
7521253 
7528932 


7536596 | 


7544245 
7551886 
7559510 
7597122 
7574719 
2882304 
7589875 
7597434 


7604979 
7612511 


7620030 
7627536 
7035029 
7042509 
7649976 
7657430 
7664872 
7672301 


7679717 


7087121 
76945 12 


7701890 
7709992 
7716670 
7723951 
7731279 
7738596 


7709256 


7745899 


7753191 


7700471 


7767738 
7774993 


7782236 
7789467 


7796686 
7803893 


2 
7498908 
7506626 


7514331 
7522022 
7529699 
7537362 


75645012. 


7552049 
7550272 


7567882 
7575479 
7583062 
7590632 
7598189 
7005733 
7613263 
7620781 
7628286 


7635777 
7643256 
7650722 
7058175 
7665016 
7673043 
7680458 
7 687860 
7695250 
7702627 


7717344 
7724684 
7732011 
7739326 
7746629 
7753920 
7761198 


| 7768464 


7775718 
7782960 
7790190 
7797408 
7804613 


— 


3 


7499681 


7507398 
7515 100 
7522790 
75 30466 


7538128 


7545777 


7553412 |. 


7561034 
7568642 
7576237 
7583819 
7591388 
7598944 
7606486 
7614016 
7621532 
7629035 
7636526 
7644003 
7651468 
7658920 
7666359 


7673785 


7681199 
7688600 
7695988 
7703364 
7710728 
7718079 
7725417 
7732743 
7740057 
7747359 
7754048 
7761925 
7769190 
7770443 
7783083 
7790912 


7798129 


7805333 


W — 


8 
7500453 
7508168 
7515876 
7523558 
/$31232 
7538893 
———— 


7546541 


7696727 
7704101 
7711463 
7718813 
7726150 
77 33475 
7740788 
7748088 
7755370 
7762652 
7769916 
7777167 
7784407 
7791634 
| 7798850 


= 


| 


7806053 


r . , e . . Sag RP S=S5 


"OE , , . ß T7F WF: *" 


LOGARITHMS. 


25 
| : o | Dit. 
5 8 2 ; 04312 772 
| | 9 02769 | 7593541 * 771 
5499 | 7509710 751080 3518947 | 7519716 709 
7576820 7517409 | 751817! 26629 | 7527397 | 7 
7516039 7525094 | 7525862 | 75 208 | 7535065 | 767 
752432 2766 | 7533532 | 753429 42719 [ 766 
1531999 . 7541189 ——— 1 764 
155 — 7548069 | 7548832 7567224 | 7857987 47 
1547 oO | 7550402 65600 | 761. 
75557 7564840 | 75 6 
1554937 563318 7564079 gh 1 | 7573201 700 
7570162 $54 7579272 858 7888362 757 
7577755 2 7586848 | 7597005 2 756 
e 4 „ 
755%; | 7601208 | 7601962 *Grotcs | 1611605) 753 
7600453 7608746 | 7609500 bg 5 76018527 | 752 
7607993 7616272 | 7017024 7627785 7026035 [ 751 
. 7623784 5652533 7632782 7033531 | 749 
7 631284 | 7032033 | /232722 | {39530 48 
Tens | 7638770 | 7639518 | 7640365 | 764101, 747 
765407 | 2646244 | 1648gg1 | 7647737 76:5041 | 745 
ee 7654450 7652671 7663365 744 
7 189 67081 4 
7600409 5668358 706933 7070074 7698235 742 
1672285 TN 7676702 777494 7685641 | 747 
26568 7683421176401 * 1296 7093035 | 740 
3 7090818 790657 7699678 7700416 + > 
998203 | 709994 048 | 770774 
1697465 | 7 700311 | 770704 15140 [ 736 
e e 
N 7712199 A 7721016 8 7729814 733 
— 4 7727616 | 7728349 Lbs yore 7737133 | 737 
7734807 7734939 7735070 a 7744440 5 
249 | 77429 10057751734 
7741519 | 7742249 50276 | 7751005 o16 [ 728 
in 7757560 Le opt 7766286 222 
e ee eee 
— 5 2 | 7771307 | 777209; al hoo 7780789 775 
n 77788786 7787290 7788525 723 
7785853 | 778057 522 | 7795243'| 7 
7785130 | 778585 27903800 | 779452 721 
1792356 7793078 er 7801732 7808855 720 
1297; 7857492 78082 12 | 7808931 | 7809650 
1806773 | 7807492 | 7808212 : 


E 


- = - _- - 
= —— * — — _ — — 
— — — — 
——— — ——ů—ů ů —-V—ͤ —— ——— p —— —-— U — — — — — —-— mm _ = 
- 


of 


17853298 


7860412 


17867514 


7874605 
7881684 
7888751 
7895807 
7902852 


17909885 
7916906 
17923917 
| 7932916 
| 7937904 


7944880 
7951846 
7958800 
7905743 


| 7972075 


7979596 


| 7986506 


7993405 
8000294. 


8007171 
8014037 
8020893 


8027737 
8034571 
8041394 
8048207 
8055009 
8061800 
8068580 
8075350 
8082110 
8088859 


| 8095597 


7980288 
7987197 
7994095 
8000982 
8007858 
8014723 
8021578 
8028421 
8035254 
8042076 
8048887 
8055688 
8062478 
8069258 
8076027 
8982785 
8089533 


8 


8096270 


7854722 
7861833 
7868933 
7876021 
7883098 
7890163 
7897217 
7904259 
7911290 
7918309 
7925318 
7932314 
7939300 
7946274 
7953238 
7960190 
7967131 
7974060 
7980979 
7987887 
7994784 
8001670 
8008545 
8015409 
8022262 
8029105 
8035937 
8042758 
8049568 
8056368 


7919011 


7967824 


W KELR 
7812526 
7819707 
7826876 
7834033 
7841178 
7848312 
7855434 
7802544 
7869643 
7876730 
7883805 
7890869 
7897922 
7904963 
7911992 


7926018 
7933014 
7939998 
7940971 
7953933 
7960884 


7974753 
7981671 
7988577 


1995473 
8002358 


8009232 
8016095 
8022947 
8029789 
8036619 
8043439 
8050248 
8057047 
8663835 
8070612 


7933712 
7940696 
7947668 
7954629 
7961578 
7968517 
7975445 
7982362 


7989267 


7996162 
8003046 
8009919 


8016781 


— P ‚⅛„ůc3 , % er R___y_ SS 


_— 


—_— 
© © 


wiow GaNp”h=u MINS cog oaUgo guru RL 


WL WH aw W711 7 aw 
LET ws \#3 O a3 S 


LOGARITHMS. 


27 
7313903 7814681 | 7815400 | 7816118 | 7816836 | 718 
1821141 | 7821859 7822576 | 7823293 | 7824010 || 717 
1828308 | 7829024 | 7829740 | 7830456 | 7831171 716 
7335463 7836178 | 7836892 | 7837607 | 7838321 || 715 
7842606 | 7843319 | 7844033 | 7844746 | 7345460 || 714 
1849737 | 7850450 | 78:1162 | 7851874 | 7852586} 713 
TF;,6857 | 7857568 | 7858279 | 7858990 | 7859701 | 712 
7863965 78646757865 3857866095 | 7866805 | 711 
1871061 | 7871770 | 7372479 | 7873188 | 7873895 | 710 
1878146 | 7878853 | 7879561 7880269 | 7880976 || 708 
1885219 | 7835926 | 7886632 7887339 | 7888045 | 797 
1892281 | 7892986 | 7893691 | 7894397 | 7395192 | _796 
7899331 | 7990035 | 7900739 | 7991444 | 7992148 | 705 
1906370 | 7997073 | 7997776 | 7998479 | 7909182 | 704 
7913397. | 7914999 7914801 | 7915503 | 7916205 [ 702 
7920413 | 7921114 | 7921815 | 7922516 | 7923216 | .701 
1927418 | 7928118 | 7928817 | 7929317 | 7939217 | 709 
7934411 | 7935110 | 7935809 | 7936507 | 7937206 | O99 
7941394 | 7942091 | 7942789 | 7943480 | 7944183 | O95 | 
1948365 | 7949061 | 7949757 | 7959454 | 7951150 | 097 
1955324 | 7956020 | 7956715 | 7957410 | 7958105 |. 696 
1962273 | 7962967 | 7953662 7964336 | 7965050 895 
1969211 | 7969904 | 7970597 | 7971290 | 7971983 | 694 
1976137 | 7976829 | 7977521 | 7978213 | 7978905 | 692 
7983053 | 7983744 | 7984435 | 7985125 | 7985816 | 091 
1989957 | 7990647 | 7991337 | 7992027 | 7992716 | 690 
7996851 | 7997540 | 7998228 | 7998917 | 7999605 | 68g 
$0037 34 | 8004421 | 8005109} 8005796 | 8006484 687 
801060; | 8011292 | 8011978 | 8012665 | 8013351 || 686 
8017466 | 8018152 | 8018837 | 8019522 8020208 || 685 
8024316 | 8025001 | 8025685 | 8026369 | 8027053 | 684 
8031156 | 8031839 | 8032522 | 8033205 | 8033888 | 683 
8037984 | 8038655 8039348 | 804 i 8040712 | 682 
8044802 | 8045483 | 8046164 | 8046845 | 8047520 681 
805 1609 | 8952289 | 8052969 | 8053649 | 8054329 | 680 
8058405 | Boggoss | 8059763 | 8260442 | 8061121 || 679 
8065191 | 8065869 | 8066547 | 8067225 | 8067903 | 678 
8071967 | 8072643 | 8073320 | 8073997 | 8074674 | 677 
$078731 | 8079407 | 8080083 | 8030759 | 8081434 || 676 
8085485 | 8086160 | 8089835 | 8087510 | 8088184 || 675 
8092229 | 8092903 | 3093577 | 8094250 | 8094924 || 674 
8098962 | 8099635 | 8100308 | 8100980 8101653 673 


E 2 


A TABLE of 


31291 4 
38135810 
8142476 
8149132 
8185777 
8162413 
8169038 


8175054 


| 8182259 


8188854 
8195439 
8202015 
82085 80 
8215135 


8221681 


8228216 


8231742 
8241258 


8247765 


8254261 


8260748 


8267225 
8273093 
8280151 
8286599 


8293038 


8299407 
8305887 
8312297 
8318698 
8325089 


8331471 


8337844 
8344207 
8350561 
8356906 
8363241 
8369567 


þ 


* 


8102997 
8109714 
8116420 


8123116 
8129802 
8130477 
8143142 
8149797 
8156441 
8163076 
8169700 
8170315 
8182919 
8189513 
8196097 
8202672 
8209236 
8215790 
8222335 
8228869 


8235394 
8241909 
8248415 
825490 
8261396 
8267872 
8274339 
8280796 
8287243 
8293681 


— —L——ü- 


8300109 
83065 28 


8312937 


8319337 
8325728 
8332109 
8338480 
8344843 
835 1196 


8357540 


8363874 
8370199 


2 . 


8103670 


8110385 
3117090 
8123785 
8130470 
8132144 
8143808 
8150462 
8157105 
8163739 
$170362 
$1769/6 
8183579 
8190172 
8196755 
8203328 
8209892 
8216445 


8222989 


8229522 
8236046 
8242560 
8249065 
8255559 
8262044 
82685 19 
827498; 
8281441 
3287887 
8294324 
8300752 
3307 169 
8313578 
8319977 
8326366 


8332746 


8339117 
8345479 
8351831 
8358174 
8364507 


8370532 


3 
8104342 
3111056 
8117760 
8124454 
8131138 
8137811 


8144474 
8151127 
8157769 
8164402 
8171024 
8177636 


8184239 


8190831 
5197413 
8203985 
8210548 
8217100 
8223043 
8230175 
8236698 
8243211 
8249715 
8256208 
8202692 
8269166 
8275631 
3282086 
8288532 
8294.967 
8301394 
8307811 
8314218 
8320216 
8327005 
8333384 
8339754 
8346114 
8352405 
8358807 


8365140 


8371403 


n e 
diocol: 105013 
8111727 
8118430 
8125123 
8131805 
31 38478 
$145140 
8151791 
8158433 
8165064 
8171686 
8178297 
8184898 
8191489 
8198071 
8204642 
8211203 
8217755 
8224296 
8230828 
8237350 
8243862 
8250364 
8256857 


8263340 
8269813 


8295611 
8302030 
8308452 
8314858 
8321255] 
8327043 
8334021 


$ 342390 
8346750 
8353100 
8359441 
8365773 


8372095 


LOGARITHMS. 29 
3 | 6 — — 9 I Diff. 
84050355 8106357 | 8107029 | 8107760 | 8108371 | ©72 
$112398 | $113068 | 8113739 | 8114409 | 8115080 671 
$119100 | 8119769 | 8120439 | 8121108 8121778 670 
$125792 [8126460 8127129 8 1277978128465 | 659 
$132473 | 8133141 | 8133808 8134475 | 8135143 | 668 
$139144 8139811 | 8140477 | 8141144 | 8141810 667 
$145805 | 8146471 | 8147136 | 8147801 | 8148467 666 
8152455 | 8153120 | 8153785 | 8154449 | 8155113 665 
8159296 | 8159760 | 8160423 | 8161087 | 8161750 66 4 
8165727 | 8166389 | 8167052 | 8167714 | 8168376 | 663 
$172347 [8173009 8173679 | 8174331 | 8174993 662 
3178958 | 8179618 | 8180278 | 8180939 | 8181599 | 661 
8185558 | 8186217 8186877 8187536 | 8188195 660 
8192148 | 81928c6 | 8193465 | 8194123 | 8194781 659 
8198728 | 8199386 | 8200043 | 8200700 | 8201358 657 
8205298 | 8205955 | 8206611 | 8207268 | B207924 656 
8211859 8212514 | 8213170 | 8213825 | 8214480 655 
8218409 8219064 | 8219718 | 8220372 | 8221027 [654 
8224950 | 8225603 | 8226257 | 8226910 | 8227563 | 054 
$231481 | 8232133 $232786 | 8233438 | 8234090 | 053 
| 8238002 | 8238653 | 8239305 | 8239956 | 8240607 | 652 
8244513 | 8245163 | 8245814 | 8246464 | 8247114 | 651 
8251014 8251664 | 8252313 | 8252963 | 8253612 | 650 
8237506 | 8258154 | 8258803 | 8259451 | 8260100 | 649 
8263938 | 8264635 | 8295283 | 8265931 | 8266578 | 648 
$270360 | 8271107 | 8271753 | 8272400 | 8273046 | 647 
$276923 | 8277569 | 8278214 | 8278860 | 8279505 | 646 
8283375 | 8284021 | 8284665 | 8285310 | 8285955 | 645 
82898 20 | 8290463 | 8291107 | 8291751 | 8292394 | 044 
8296254 | B296896 8297539 | 8298182 | 8298324 | 643 
8302678 | 8303320 | 8303962 | 8304603 | 8305245 | 042 
8300093 | 8309734 | 8310375 | 8311016 | 8311656 | 041 
8315499 | 8316139 | 8316778 | 8317418 | 8318058 | 640 
8321895 | 8322534 | $323173 | 8323812 | $3244co | 639 
8328281 | 8328919 | 8329558 | 8330195 8330833 | 638 
$334659 | 8335295 | 8335933 | 8330570 | 8337207 | 638 
8341027 | 8341063 8342299 | 8342935 | 8343571 | 637 
8347355 | 8348021 | 8348656 | 8349291 | 8349926 | 636 
$353735 | 8354369 | 33550 3 8355638 | 8356272 | 635 
8300075 | 8360708 | 8361341 | 8361975 | 8362608 | 634 
8366405 | 8367038 | 83567670 | 8368303 | 8368935 | 633] 
8372727 | 8373359 8373990 | $374622 | 8375253 | 632 


* ——— 94s 
— 


: 
: 
: 
[ 
. 
4 


— — 


_4 TABLE of 


O 


8375884 


8382192 
8388491 
8394780 
8401061 


8407332 


8413595 
8419848 
8426092 
8432328 
8438554 
8444772 
8450980 
8457180 
8463371 
8469553 


8475727 


8481891 
8488047 
8494194 
8500333 
8506462 
8512583 
8518696 
8524800 
8530895 
8530982 
8543000 
8549130 


8555192 


8561244 
8567289 
8573325 
8579353 
8585372 
8521383 
8597386 
8603380 
8609366 


8615344 
8621314 


8627275 


| 


I 
83765 16 
8382822 
8389120 
8395409 


8401688 


8407959 
8414220 
8420473 
8426716 
8432951 
8439176 
8445393 
8451601 
8457800 
8463990 
8470171 


5476343 


8482507 
8488662 
8494808 
8500946 
8507075 


8513195 
8519307 


8525410 
8531504 
8537590 
8543668 


85497 37 


8555797 


8561849 
8567893 
8573928 
8579955 
8585973 


8591984 


8597985 
8603979 
8609964 
8615941 
8621910 
8627871 


| 


2 


—ů——— 


8377147 
8383453 
8389750 
8396037 
8402316 


8408 586 


8414846 
8421098 
8427340 
8433574 
8439798 
8446014 
8452221 
8458419 
8464608 
3470789 
8476960 
8483123 
8489277 
8495423 
8501559 
8507687 
8513807 
8519917 
8520020 
8532113 
85 38198 
8544275 
8550343 
8550403 
8502454 
8568497 
8574531 


85805577 


8586575 
8592534 
8598585 
8604578 
8610502 
86165 39 
8622507 


ET 


3 
8377778 
8384083 
8390379 
8 396566 
8402943 
8409212 
8415472 
8421722 
8427964 
8434197 
8440420 
8446635 
8452841 


8459038 


8465 227 
8471406 
8477577 
8483739 
8489892 
8496037 
8502172 
8508300 
8514418 
8520528 
8526629 
8532722 
8538806 
8544882 
8550949 
8557008 
8563059 
8509101 
8575134 
8581159 
8587176 
8593185 
8599185 
8605177 
8611160 
8617136 
8623103 
8629062 


| 


4 
— — 
837840g 
8384713 
8391008 
8397294 
$402571 
8409838 
8416097 
8422347 
8428588 
8434819 
8441042 
8447256 
8453401 
8459658 
846584; 
8472024 
8478193 
8484355 
8490507 
8496651 
8502786 
8508912 
8515030 


8521139 
8527239 
85 33331 
8539414 
8545489 
8551556 
8557014 


8563663 


8569704 
8575737 
8581761 
8587777 
8593785 
8599784 
8665770 
8611758 
8617733 


8623699 


8629658 


— * 


N 8628467 


r 9 = 


/ 


_— 
ND — 
| Bat 


* 
OGARITHMS, 
ros 


31 
Dit. 
9 630 
[4 8381562 630 
[4 8380931 8387861 629 
6 8380301 $7232 152 8 
3770070 | 8; 2 | 8387 8394 | 62 
7579039 8385973 2595778 8358103 12 
9385 343 839226 839917 8406079 8412969 525 
e e T419223 | 624 
797933 ae 8411717 8418598 8425468 623 
118455 4178 8775 W bf Frey bow 623 
$4104 $417 39% 2694300 8431081 9437932 622 
i N 9 Ne 
$422921 438535 8436885 8443529 8450360 | 520 
_ 8430005 5442907 5449739 8456561 | 619 
14166. 84422 8 | 8449119 8455941 8402752 | 618 
in 9455321 445631 881 | 617 
844787 8454701 8461515 8468318 8475110 | 616 
1454081 577506 7 8467700 8474493 8481275 615 
12272 1 N $473876 8425817 22787455 | 614 
js 1478 848 8493580 || 61 
0e 4 Te e | Dont 61 
47 84 84923 849910 305850 612 
[3454979 8491736 8498492 Coney 4 a G11 
- At 849787 £50404 8511360 312 
2 — 9 8516883 2 60g 
$503 85 101 851 85225 0286 | 
999524 8516252 8522970 8529677 er 4 
51564 8222 8529068 8535705 7 8 607 
122749 8528458 544700 8841345 377486 605 
771049 $5345.48 854123 8547917 8554586 | bog 
. l 8560640 | "bor 
moe 5540703 8553374 8560035 8566685 | 604 
1572185 47882. 59429 Ru 9572722 603 
855 3565476 6222 
i 8655 57750 551 157. Ge 
3 1888. 4587575 25 28222 600 
57 85769 85835 85901 85907 "599 
bbs, 848208; 2589580 8596186 8602781 || 599 
9582363 88980 | $586 8602182 | 860 8 || 59 
[58837 3594986 151855 8600170 | 6097 598 
1 8605983 L= 8620717 597 
8600384. 860697 3 8613552 8620120 8626679 596 
61235 8018927 8625488 8632039 83 
4 8624892 8631443 r 
862429 8630848 — 
8530253 888 


A TABLE f 


0 
8633229 
8639174 
8645111 
8651040 


8656961 


8662873 
8668778 
8674675 
8680564 
8686444 
8692317 
8698182 
8704039 
8709888 
8715729 
8721563 
8727388 
8733206 
8739016 
8744818 
8750613 
8756399 
8762178 
8767950 
8773713 
8779469 
8785218 
8790959 
8796692 
8802418 
8808136 
8813847 
8819550 
8825245 
8830934 
8836614 
8842288 
8347954 
8853012 
8859263 
8364907 
8870544 


— 


| 


I 
8633823 
8639768 
8045704 
865 1632 
8657552 
8663464 
8669368 
8675264 
8681152 
8687032 
8692904 
8698768 
8704624 
8710473 
8716313 
8722146 
8727970 
8733788 


87 39597 | 


8745398 
8751192 
8756978 
8762756 
8768526 
8774289 
8780045 
8785792 
8791532 
8797265 
8802990 
8808707 
8814417 
8820120 
8825815 
8831502 


8837182 


884285 5 
88485 20 
8854178 
8859828 
8865471 
8871107 


8634418 


8640362 
8646297 
8652225 
8058144 
8064055 


86699 58 
8675853 
8681740 
8687620 


8693491 
8699354 
8705209 
8711057 
8716897 
8722728 
8728552 
87 34309 
8740177 
8745978 
8751771 
8757550 
8703333 


8769103 


8774865 
8780620 


8786367 
8792106 
8797838 
8803562 
8809279 
8814988 
8820689 
8826384 


8832070 
883275 


8843421 
8849068 


8854743 
8860393 


8866035 


8871670 


3 


8635013 


8640956 
8646890 
8652817 
8658735 
2 
8670548 
8676442 
8682329 
8688207 
8694077 
8599940 
8705795 
8711641 
8717480 
8723311 
8729134 
8734950 
8740757 
8746557 
8752349 
9759134 
703901 
8769680 
8775441 
8781195 
8786941 
8792080 
8798411 
88041 34 
8809850 
8815558 
8821259 
882695 3 
8832039 
8838317 


8843988 


8849652 


8855308 


8860957 
8866599 
8872233 


— 


4 

8035608 
8641550 
864745; 
8653409 
8659327 
8665 236 
8071138 
8677031 
8682917 
8638794 
8694664 
8700; 26 
8706380 
8712226 
8718064 
8723894 
8729716 
8735531 
8741338 
8747137 
8752928 
8758712 
8764488 
8770256 
8770017 
8781770 
8787515 
8793253 
9798983 
8804706 
8810421 
8816129 
8821829, 
8827522 
8833207 
883888; 
8844555 
8850218 


8855874 
8801522 


| 


8867103 
| 88727 


— 


1 F r r r e . . -m . ůum mM ̃ ̃²—Ümm˙- ¼—üteñ ³ h ma th. » ²· · 6 Setter en woah oa mc. down. . mm ꝗ, RT RES a 


—— Y — — — ” 
— — — 


* 


LO 


GA 


8630202 
8643143 
8648070 
865 4001 
5659918 
8665827 
9071728 
| $677620 | 
8683505 | 
8589382 
8695251 
8701112 
8706905 | 
8712810 
9718647 


| 


8724476 


5730112 
8741918 
5747710 


5730298 


8753507 || 8: 


8759290 
8770833 


8782345 


5793826 
9799556 
8805278 


8810992 
1881 


8822 g 
kate 


833775 
8845122 


9656439 
8852080 


e 
87659 
8788089 


13839452 | 
8850784 |. 


8867726 
23359 18 


6 


8642737 
8648669 


8654593 


8660509 
8666417 
8672317 
8678209 
8084093 
8695837 , 
8701697 
8707549 


8713394 


8794400. 
8800128 
8805 850 


8811563 


6998817269 


8822968 
8828659 
8834343 
8840019 


8661100 
8667008 


5777743 


8783494 


8789237 


8794973 
8800701 


8806421 
8812134 
8817840 


8823537 
3829228 


a 


8743658 
8749454 
8755243 
| 8761023 
8766796 


8801273 


RITHM 
1 5353 pp oor 3 5 
8030797 


Ml 


8702868 
8708719 
8714562 
8720397 
8726224 
8732043 
8737855 


8772561 
8778319 
8784069 
8789811 
8795540 


8806993 
8812705 
8818410 
8824107 
9829797 
8835479 
8841154 
8840821 
8852481 


8858134 | 


8863779 
8869417 


8828.4 


8. 


A TABLE of 


O 


8876173 
8881795 


8887410 
8893017 
8898617 
8904210 
8909796 
8915375 
8920946 
8926510 
8932068 
8937618 


8943161 
8948697 
8954225 
8959747 
8965 262 
8970770 
8976271 
8981765 
8987252 


8992732 


8998205 
9003671 
9009131 
9014583 


9020029 ] 


9025468 
9030900 


9036325 


9041744 
9047155 
905 2560 
9057960 
9063351 
9068735 
9074114 
9079485 
9084850 
9090209 
9995560 


88767 36 | 


8882357 
8887971 


8893577 
5899177 
8904709 
8910354 
8915932 
8921503 
8927c66 
8932623 
8938172 


8943715 
8949250 
8954778 
8960299 
8905813 
8971320 
8970821 
8982314 
8987800 
8993279 
8998752 
9004218 
9009676 
9015128 
9020573 
9026011 


9031443 


9036867 


9042285 
9947696 
9053101 
9058498 
9063889 


9069273 


9074651 
9080922 
9085 386 
99907 44 
9096093 
9101440 


1 

8877298 
8882918 
8888532 
8894138 
8899736 
89905328 
8910912 
8916489 
8922059 
8927022 
8933178 
8938727 
8944208 
8949803 
8955330 


8960851, 


8966364 
8971871 
8977370 
8982863 
8988348 
8993827 
8999299 
9904704 
9010222 
9015673 
9021117 
9926555 
9031985 
9937409 
9042827 
9048237 
9053641 
9059038 
9064428 
9069812 
9075188 
9080559 
9085922 
og 1279 
9096630 


| 


= 
8877860 
8883480 
8889093 
8894698 
8900296 
8905887 


8911470 
3917047 
8922616 
8928178 
8933733 
8939281 


8944822 
8950356 
8955883 
8961403 
8966915 


8972421 
8977920 
8983412 
8988897 
8994375 
8999846 
9005310 
9010767 
9016218 
9021661 
9927098 
g032528 
9037951 
9043308 
9048778 
9054181 


905957719 


9064967 
9070350 
9075726 


g081095 
9086458 


9091815 
9097165 


9102508 


| 


8945376 


3 
8878423 
8884042 
888965; 
8895258 
89008; 
890644; 
8912028 
8917604 
8923173 
8928734 
8934288 
8939836 


8950909 
8956435 
8961954 
8967 466 
8972971 
8978469 
898 3960 
8989445 
8994922 
9000392 
goog856 
9011313 
9016762 
9022205 
9027641 
9033071 
9038493 
9943909 
9949318 

054721 
4 > 16 
9065 505 
g070887 

0762063 
906 1632 
9086994 
9092350 


9097099 
9103042 | 


gioogog 


_— 


9101974 


— 


OY 


————————— A  ,,,.,, .... > a a a «@ 


LOGARIT HMS. 


—— 
887898 5 
8884603 
8890214 
8895818 
8901415 


8997004 


$912580 
8918161 
8923729 
8929290 
9934843 
8940390 


8945929 
8951462 
8950987 
3962 506 
8968017 
8973521 
8979019 
8984509 
5989993 
8995409 
9000939 
9006402 
9011858 
9017307 
9022749 
9028185 
9033613 
9039035 
9044450 
9049859 
9955201 
906065 5 
9066044 
9071425 
9076899 
9082169 
90875 30 
9992885 
9098234 


6 
8879547 
8885 165 


8890775 
8896378 


8901974 
8997502 
8913144 


„ 


8924285 
8929840 
8935398 
8940944 
8940483 
8952015 
8957539 
8993057 
8958508 


8979568 
8985058 
8990541 
8999017 
9001486 
2006948 


9012403 
9017851 
9023293 
9028728 
9934156 
9939577 
9044992 
9950399 
905 5800 


9061195 
9056582 


9077337 
9082705 
9088066 


8918718 


897407 1 


9071993 


7 


888;720 
8891336 
8895938 
8902533 
8908121 
8913702 
8919275 
8924842 
8930401 
8935953 
8941408 
8947037 
8952507 
895 8092 
8963608 
8969118 
8974621 
8980117 
8985606 
8991089 
8995564 
902032 


9012948 
9018395 
9023837 
9029271 
9034698 
9040119 
9945533 
9950940 
9950340 
9061734 
9067121 


9077874 
9083241 
9088602 
9093955 
9999303 

9104643 


8880109 


9907494 


9072501 


— 


8 


888057 


8886287 
8891896 
8897498 
8903092 
8908679 
8914259 
8919832 
8925398 
8930957 
8936508 
2942053 
8947590 
8953120 
8958544 
8964160 
8969669 
8975171 
8980667 
8986155 
8991636 
8997111 
9002579 


9008039 


9913493 
9018940 
9024381 
909814 
9033241 
9040661 
994007 3 
905 1480 
9056880 
9052274 
9967959 


9073038 


90784 
9083778 


9089137 


909 44.90 
9099835 


9 051 


e ee 
8881233 || 
8880848 
8892457 || 
8898058 | 
8993651 | 
8909238 | 
8914817 | 
8920389 | 
5925954 
8931512 | 
8937063 | 
8942607 | 
8945143 | 
8953073 | 
8939195 | 
89-4711 | 
8970219 | 
8975721 | 
8981216 | 
8986703 | 
8992184 
8997658 
9003125 
9908555 
9014038 
9019485 
9024924 
9939337 
9035793 
9041202 
9040615 
905 2020 
9057419 
9092812 
9908197 
99725075 


9270926 
9 343 4 
958973 
9295045 
9100371 
9105715 


9103576 


— —— — . 


F 2 


A TABLE of _ 


— 


| 


| 9122220 


9127533 
9132839 
9138139 
9143432 
9148718 
9153998 
9159272 
| 9164539 
9169500 
9175055 
| 9180303 
| 9185545 
| 9199781 
| 9196010 
| 9201233 
| 9206459 
| 9211661 


9216865 


9222063 
2227255 
9232440 
| 9237629 
| 9242793 
9247960 


9253121 
| 9258276 


| 9203424 


| 9268567 
| 9273704 
9278834 
9283959 
9289077 
9294189 


9106778 


9112109 
9117434 
9122752 
9128064 
9133309 


9138608 


9143901 
9149246 
9154526 
9159799 
9165006 
9170326 
9175580 
9180828 
9186069 
9191304 
9196533 
9201755 
9206971 
9212181 
9217385 
9222582 
9227773 
9232958 
9238137 
9243310 
9248476 
9253637 
9258791 
9263939 
9269081 
9274217 
9279347 
9284471 
9289588 


9294760 


— — 


Q107311 


9112642 


9117966 
9123284 
9128595 
9133599 
9139199 
9144489 
9149775 
9155854 


9160326 


9165592 
9170852 


9176105, 


9181352 
9186893 
9191827 
9197055 


9202277 


9207493 
9212702 
9217905 
9223102 
9228292 


9233477 
9238655 
9243827 
9248993 
925415 2 
9259306 
9294453 
9269595 
9274730 
9279859 
9284933 
9290100 


9295211 


9200316 


9305415 
9310308 


9315596 


9320677 


2 


3 
9107844 
9113174 
9118498 
9123815 
9129126 
9124430 
9139727 
9145018 
9150303 
9155581 
9160953 
9165118 
9171378 
9176630 
9181877 
9187117 
9192350 
9197578 
9202799 
9208014 
9213222 
9218425 
9223621 
9228811 


9233995 
9239172 
9244344 
9249509 
9254668 
9259821 
9264968 
9270109 
9275243 
9280372 
9285495 
9290611 


9295722 


9300826 


9305925 


9311917 
9316104 


9321185 


— 


1 
| 9108378 
9113707 
9115030 
9124346 
91296536 
91 34960 
— 
9140257 
9145547 
9150831 
Q15t6109 
9161380 
9160645 
9171903 
9177155 
9182401 
918764c 
9192873 
9198100 
9203321 
9205535 
9213743 
9215945 
9224140 
9229330 
9234513 
9239990 
9244800 
9250025 
9:55154 
9200330 
9205482 
9270622 
9275757 
928088; 
| 9286007 
9291123 
9296233 
9391339 
9300434 
9311520 
9316612] 


| 9321692 


— , fy a Ä rm Le TY OT: 1. 


LOGARITHMS. 37 

— = — — — ——— 2 ———— — — 

d a pn den pe, ue p A e IRE 
9108911 9109444 | 9109977 | 9110510 9111043 533 
9114240 | 9114772 | 9115305 | 9115937 9116369 | $33 
g119562 | 9120094 9120626 | 9121157 [9121689 $32 
124878 75. 9125409 | 9126471 | 9127002 632 

g130187 | 9130717 9131248 | 9131778 | 9132309 | 531 
2135490 | 9136019 | 9136549 | 9137079 | 9:37609 þ 5:2 
9140786 | 9141315 9141844 3145887 9142903 529] 
9145076 9146603 | 9147133 | 9147661 | 9148190 [ 529} 
9151359 9151887 | 9152415 | 9152943 | 9:53471 | 525] 
g156636 | 9 30145 9157691 | 9158218 | g15B745 | 527 
9161907 2433 | 9162960 | 9163487 | 9164013 | 527 
9167171 9167697 9168223 | 9158749 9169275 | 526 

0172429 | 9172954 | 9173479 | 9174005 | 9174530 [ 520 

9177680 | 9178205 | 9178730 | 9179254 | 9179779 | 525 

9182925 | 9183449 | 9183973 | 9184497 | 9185021 || 524 

9138164 |, 9188687 | 9189211 9189734 | 9190258 || $24 

9193390 9193919 | 9194442 | 9194965 þ 9195488 || 5323 

9198623 | 9199145 | 9199567 9200189 | 9200711 || 523 

9203842 9204304 9204886 | 9205407 | 9205929 || $21 

9209056 | 9209577 | 9210098 9210619 | 9211140 || $21 

921426; | 9214794 | 9215304 | 9215824 | 9216345 | 520 

921946; | 9219984 | 9220304 | 9221024 9221543 [520 

9224659 | 9225179 9225698 | 9226217 9226735 519 

9229848 9230367 | 9230885 9231404 | 9231922 || 518 

49235031 9235549 9236096 | 9236584 | 9237102 518 
9240208 | 9240724 | 9241242 | 9241759 9242276 518 

9245377 | 9245894 | 924640 9245927 | 9247444 || 517 

9250541 | 9251057 | 9251573 | 9252089 | 9252005 | 510, 

9255599 9256215 | 9256730 | 9257245 | 9257761 | 515 

9260851 | 9251366 | 9261880 | 9262395 9202910 [ 
9755997 9266511 | 9267025 | 9267539 | 9208053 || 515] 

9251136 | 9271650 | 9272163 | 9272677 | 9273190 || $14 

9276270 | 9276783 | 9277296 | 9277808 | 9278321 [ 513 

9281397 | 9281909 9282422 | 92382934 9283440 || 512 
9286518 928730 9287542 | 9288054. 9288565 | 511 
9291634 | 9292145 | 9292056 9293167 9293678 | $11 
9299743 | 9297254 | 9297764 | 9298275 92987%5 | 514] 

9301847 | 9302357 930286 | 9393376 | 9393886 || 510 
3396944 | 9307453 | 9397963 | 9398472 | 9308981 || 510 

9312035 | 9312544 | 9313053 | 9313561 9314070 509 
9317121 | 9317629 | 9318137 | 9318645 | 9319153 || 509 
(5322200 |.9322708 | 9323215. 9323723 1 9324230 888 


4 TABLE ff 


O 
9324738 
9329808 
9334873 
9339932 
9344984 
9350032 
9355073 


9360108 | 


9365137 
9370161 
9375179 
9380191 


9385197 
9390198 
9395193 
9400182 
9405 165 
9410142 
9415114 
9420081 
9425041 
9429990 
9434945 
9439389 
9444827 
9449759 
9454686 
9459007 
9464523 
9499433 
9474337 
9479236 
9484130 
9489018 
9493900 
94929777 
9593049 
9508515 
9513375 


9518230 
9523080 


| 


| 


ö 


3527924 | 9525409 


9325245 
9339315 
9335379 
9340437 
9345489 


93509536 


9355570 
9360911 
9305040 
9370563 
9375680 


9380592 


93385097 
9390697 
9395992 
9400680 


9405663 


9410640 


94150611 
9420577 
9425537 
9430491 
9435440 


9449333 


9445320 
9450252 
9455178 
9460099 
9465014 


9469923 


9474827 
9479726 
9484619 
9489506 
9494388 
9499204 
9594135 
9509001 
9513861 
9518716 
9523505 


| 


— — 


_ 
9325752 
93395322 
9335885 
9342943 


9345994 


9351040 


9350080 
99361114 
9365143 
9371155 
9376182 
9381192 


9385198 


9391197 
9395191 
9501179 
9406101 


9411137 


9416108 


9421073 
9420032 
9430986 
9435934 
94423877 


9445814 


9450745 
9455071 
9400591 
9465 505 


9470414 


9475317 
9480215 
9485108 
9489994 
9494370 
9499752 
9504022 
9509487 
9514347 
9519201 
9524249 
9525893 


3 


—ͤ ——ẽ j — 


9326259 


9331328 


9330391 
9341448 
9345499 
9351544 


935658; 


9361617 
9366645 
937 1667 
9376083 
2381693 
9385698 
9391097 
939969» 


9421677 | 9492176 
9497157 


9406659 
9411635 
9416605 
9421569 
9426528 
9431481 
9439429 
9441371 
9440307 


9451238 


9456163 
9461082 


9465996 
9470905 


9475807 
9480705 
9485597 
9490483 
9495364 
9 
9505 109 
9399973 
9514832 
9519686 
9524534 


nn 


ET. 
9320767 
9331835 
9336897 
9341953 
9347004 
9352049 
9357087 
9362120 
9367148 
9372109 


9332194 
9357198; 
9392196 
9397189 


9412132 
9417101 
9422065 
9427024 
9431976 
9436923 
9441865 
9446800 
9451730 
9456655 
9461574 
9466487 
, 9471395 


9470297 
9481194 
9486085 
9490971 
9495852 
9500726 
9505596 
9510459 
9515318 
9520171 


— 


9529801 


95250158 


9377184 


— —— P M ene k | 


was AS. 


* * —B +. MM, 4 


* Ate 


1 9529377 


— 


2 


LOGARITHMS. 


PY * 


1 IF 
= 6 [ 7 8 per an "Dit, 
9327274 | 9327781 | 9328288 | 9328795 | 9329301 597 
9332341 | 9332848 | 9333354 | 9333860 | 9334367 | 506 
9337493 | 9337909 9338415 | 9338920 9339426 506 
9342459 | 9342964 | 9343469 | 9343974 | 9344479] 509 
9347599 | 9348013 | 9348518 | 9349022 | 9349527 || 5095] 
9352553 | 9353057 | 9353561 9354005 9354509 | 504 
9357591 9358095 | 9358598 | 9359101 9359005 | 504 
9362623 | 9363126 | 9363629 | 9364132 | 9364535 || 503 
9367650 | 9363152 | 9368655 | 9369157 | 9369659 || 502 
9372078 9373172 9373674 | 9374176 | 9274677 | 502 
9377686 | 9378187 | 9378688 | 9379189 | 9379690 | 502 
9332695 | 9383195 | 9383696 | 9384195 | 9384697 | _501 
9387698 | 9388198 | 9388698 | 9389198 | 9389698 | 500| 
9392696 | 9393195 | 9393695 | 9394194 | 9394693 | 509 | 
9397688 | 9398187 | 939868; | 9399184 | 9399683 | 499 
9402674 | 9403172 9403670 9404169 | 9404667 498 
9497654 | 9408152 | 9408650 | 9409147 | 9499645 | 497 
207679 9413126 | 9413623 | 9414120 | 9414617 [ 497 

[9417598 | 941809; | 9418591 | 9419088 | 9419;84 | 497 
9422561 | 9423053 | 9423554 | 9424049 | 9424545 | 499 
9427519 | 9428015 | 9428510 | 9429005 | 9429501 || 495 
9432471 | 9432966 | 9433461 | 9433956 | 9434450 || 495 
9437418 | 9437912 | 9438406 | 9438900 | 9439395 | 494 
9442358 | 9442852 | 9443349 | 9443840 2441333 494] 
9447294 | 9447787 | 9448280 | 9448773 | 9449256 || 494 
9452223 | 9452716 | 9453208 | 9453701 | 9454193 | 493 
9457147 9457039 9438131 | 9438623 | 9459115 || 492] 
19462065 | 946 22557 9463048 | 9463540| 9464031 || 492 
9466978 | 9467469 | 9467960 | 9468451 | 9468942 | 491| 
9471886 | 9472376 | 9472865 | 9473357 | 9473847 j| 491 
9470787 | 9477277 | 9477707 | 9478257 | 9478747 j| 490 
9481684 9492173 9482662 9483151 9483641 | 185 
9486574 | 9487063 | 9487552 | 948804094885 29 489 
9491460 | 9491948 | 9492436 | 9492924 | 9493412 489 
9496339 | 9496827 | 9497314 | 9497302 | 9498290 | 483 
19501213 | 9501701 | 9502188 | 9502675 | 9503162 || 487 
9506082 | 956569, | 9507055 | 9507542 | 9508028 [ 485 
9510946 | 9511432 | 9511918 | 9512404 9512889 | 486 
19515803 | 9516289 | 9516774 | 9517260 | 9517745 [ 485 
9520656 9521141 | 9521626 | 9522111 9522595 | 485 
9525503 | 9525987 | 9520472 | 9526956 | 9527440 || 485 

9345 | 9530828 | 9531312 | 9531796 | 9532280 || 484 | 


PR 
— — = JI 


—— — _ ou = . 
ln, Clit ai ooo at. 9 ns — A 
2 _ 


A 


T A 


B L E ＋ 


= 
9532703 
9537597 


900 | 9542425 


9547248 
9552065 
9556877 


904 9561684 


950648 

9571282 
9576073 
9580858 
9585639 
9590414 
No 
959994 

9604708 
9609462 
9614211 
| 9678955 
9623693 
9028427 
9033155 
9637878 
9642596 


| 9047 399 


9652488 


BED e e 


9533247 
9538080 
9542908 
9547730 
9552547 
9557358 
9562165 | 
9556965 
9671 761 
9070552 
965 


1337 


25881122 
9590891 | 
$ 95660 
9500425 
Sage 

509927 
9414 86 
9619429 
9624167 
9628900 
9633628 
9638350 
9643068 


9047780 


9657190 
5661887 
9666579 
9671266 
967594: 
9655625 
9685 2 90 
9689963 
9694625 
9599282 
9703934 
9708581 
9713222 


— 


9747859 


— 
9533730 
9538563 
9543390 
9548212 
9553028 
9557939 
9592045 
9507445 
9572241 
$4445 48 
9581815 
9586594 
9591368 
9590137 
4 8 Ol 
955 
5688652 


9615160 


9019903 
9624040 
9629373 
9234199 
9638822 
9043539 
964825 1 
9652958 
9657660 
9662356 
9667048 
9671734 
9676416 
968 1092 
9685763 
9690430 
9695091 
9699747 


85 
7090 

9713680 
9718323 
9722954 


| 973755! 


9725043 


” 
—_wd_ ——— 1 
3 * 
— 


953421 
953904 

9543872 

9548694 
9553510 
9558320 
9563125 

9507925 | 
9572720 
9577 
9582293 
9587072 
9591845 

9590614 
9601377 

9576985 
9610887 


9615635 
9620377 
962511 
962984 
9634573 
9639294 
9644011 
9048722 
965 3428 | 
9038130 
9662826 


70021. [ 
92828213 


9704803 
A544 
9714150: 
97187860 
9723417 | 


| 9677351 


3 
9534697 
9539329 
9544355 
9549176 
9553991 
9538801 
9563605 
9568405 
9573199 
9577988 
9582771 
9587549 
9592322 
9597090 


50185 
9650616 


611362 
$o161e 
962085 1 


9625587 
96303 19 
9635045 
9639756! 
9044432 
9949193 
9653899 
9658599 
9663295 
9667985 
9672071 


9705328 
9709974 
9714614. 
9719249 
9723880 
9729506 


— 


LOGARITHMS. 41 

6 7 8 9 | Dif. 
9535181 | 9535664 | 9530147 | 9536631 | 9537114 || 484 
9540012 | 9540494 | 9540977 | 9541460 | 9541943 | 483] 
9544837 | 9545319 | 9545802 | 9546284 | 9546766 | 482 
[9549657 | 9550139 | 9550621 | 9551102 | g55t584 || -482 
9554472 | 9554953 | 9555434 | 9555915 | 9556397 | 481 
9559282 | 9559762 | 9560243 | 9560723 | 9561204 481] 
9564086 | 9564566 | 9565046 | 9565526 9566006 | 480 
9568885 | 9569364 | 9565844 | 9570323 | 9570803 | 480 
9573678 | 9574157 | 9574636 | 9575115 | 9575594 | 479 
9578466 | 9578945 | 9579423 | 9579902 | 9580380 | 479] 
9583249 | 9583727 | 9584205 | 9584683 | 9585161 | 478} 
9588027 | 9585505 | 9588982 | 95389459 | 9589937 | 478] 
9592799 | 9593270 | 9593753 | 9594230 | 9594707 | 477 
9597507 | 9598043 | 9598520 | 9598996 | 9599472 || 477 
9602329 | 9602805 9603280 | 9553756 | 9604232 || 476 
{9607086 | 9607561 | 9608036 | 96085 11 | 9608987 | 476} 
9611837 | 9612312 | 96127387 | 9613261 | 9613736 475 
9616583 | 9617058 96017532 9618006 9618481 475 
9621325 | 9621799 | 9622272 | 95922746 | 9623220 | 474 
9626061 | 9626534 | 9627007 | 9627481 | 9627954 474. 
9630792 | 9631264 | 9631737 | 9632210 | 9632683 | 473 
9635517 | 9635990 | 9636462 | 9636934 | 9637406 | 472 
9640238 | 9640710 | 9641181 | 9641653 | 9642125 | 472 
9644953 | 9645425 | 9645896 | 9646367 | 9646838 | 471 
9649664 | 9650134 | 9650605 | 9651076 | 9651546 | 471} 
9654369 | 9954839 | 9655309 | 9555780 | 9656250 | 478] 
9659909 | 9659539 | 9660009 | 9660478 | 9660948 || 470 
9663764 | 9664233 | 9664703 | 9665172 | 9665641 || 469 
9668454 | 9968923 | 9569392 | 9669860 | 9670329 | 469] 
9673139 | 9673607 | 9674076 | 9674544 | 9675012 | 468 
9677819 | 9678287 | 9678754 | 9679223 | 9679690 || 468 
9682494 | 9682961 | 9683428 | 9683895 | 9684362 | 467 
9687164 | 9687630 9688097 | 9588564 | 9689030 || 467 
9691829 | 9692295 | 9692761 | 9693227 | 9693693 | 466| 
9696488 | 969695 4 [49697420 | 9597885 | 9698351 | 466 
9791143 | 9701608 | 9702074 | 9702539 | 9703004 | 465 
19795793 | 9700258 | 9706722 | 9707187 | 9707652 | 465 
9710438 | 9710902 | 9711366 | 9711830 | 9712294 464 
9715078 | 9715542 | 9716005 | 9716469 | 9716932 | 464 
9719713 | 9720176 | 9720639 | 9721102 | 9721565 | 463 
9724343 | 9724805 | 9725268 | 9725731 | 9725193 | 463 
9728968 | 9729430 | 9729892 | 9730354 | 9730816 402 


G 


A TABLE of 


ml? 


\O 
wn 
O 


— 
9731278 
9735896 
9749509 
9745117 
9749720 
9754318 
9758911 
9763500 
9768083 
9772062 
9777236 
9781805 


9840770 
9845273 
9849771 
9854265 
9858754 
9503235 
77.7 
9872192 
9876663 
9881128 
9885 590 
9890046 
9894498 
9898946 
9903389 
9907827 
9912261 
9916690 


9731741 
9736358 
9740970 
9745577 
9750180 
9754775 
9759370 
9763958 
9768541 
9773120 
9777693 
9782202 
9786826 
9791385 
9795939 
9800488 
9805033 
9809573 
9814108 
9818639 
9823165 
9827686 
9832202 
9830714 
9841221 
9845723 


9854714 
9859202 
9863686 
9868 165 
9872640 
9877109 
9881575 
9886035 
9899492 
9894943 
9899390 
9993933 
9908270 
9912704 


98580221 


9917133 


2 


9732202• 
9736819 
9741431 
9746038 
9750640 
9755237 


9759829 


9764417 


9768999 


9773577 


9778150 
9782218 
9787282 
9791840 
9796394 
9800943 
9805487 
heed 
9814562 
9819092 
9823617 


9828138 


9832654 
9837165 
9841671 
9846173 
9850670 
9855163 
9859651 
9864134 
9868613 
9873087 
9877556 
9882021 
9886481 
9890937 
9895388 
9899835 
9904277 
9908714 
9913147 


9917575 | 


3 

97 32664 
9737281 
9741892 


9746498 


9751100 
9755097 
9760288 
9764875 
9769457 
9774035 
9778607 
9783175 
9787738 
9792296 
9796849 
9801398 
9805942 
9810491 
9815015 
9819544 
9824069 
9828589 
9833105 
9837616 
9842122 
9846623 
985 1120 
985 5612 
9860099 
———— 
9869060 
9873534 
9878003 
9882467 
9886927 
9891382 
9895833 
9900279 
9904721 
9909158 
9913590 
9918018 


_— 


9783631. 


1 


9733126 
9737742 
9742353 
9746959 
9751560 
9756156 
97607 47 
9705334 | 
9769915 
9774492 
9779064 


— 


9788194 
9792751 
9797304 
9801852 
9806396 
9510934 
9815468 
9819997 
9824522 


9829041 


9833556 
98 38066 
9842572 
9847073 
9851569 


9856061 | 


9860548 
9865030 


r 


* 


LOGGARIT HMS. 


43 

5 l 8 o | Dif. 
5733588 | 9734950 | 9734511 | 9734973 | 9735434 || 492] 
9738203 | 9738664 | 9739126 | 9739587 | 9740048 | 491 
9742814 | 9743274 | 9743735 | 9744196 | 9744656 || 461 
9747419 | 9747879 | 9748340 | 9748800 | 9749260 | 460 
9752020 | 9752479 | 9752939 | 9753399 | 9753858 | 460 
9756615 | 9757075 | 9757534 | 9757993 | 9753452 || _459 
9761206 9761665 | 9762124 | 9762582 | 9763041 | 459 
9765792 | 9766251 | 9766709 | 9767167 | 9767625 | 458 
9770373 | 9770831 | 9771289 | 9771747 | 9772204 | 458 
9774950 | 9775407 | 9775864 | 9776322 | 9776779 | 458 
9779521 | 9779978 | 9780435 | 9780892 | 9781348 | 457 
9784088 | 9784544 | 9785001 | 9785457 | 9785913 | _457 
9788650 | 9789106 | 9789562 | 9790017 | 9790473 || 450 
9793207 | 9793662 | 9794118 | 9794573 | 9795028 || 456 
9797759 | 9798214 | 9798669 | 9799124 | 9799579 || 455 
9802307 | 9802761 | 9803216 | 9803670 | 9804125 || 455 
98068 50 | 9807304 | 9807758 | 9808212 9808666 || 454 
9811388 | 9811841 | 9812295 | 9812748 9813202 || 454 
9815921 | 9816374 | 9816827 | 9817280 | 9817733 | 453 
9820450 | 9820902 | 9821355 | 9821807 | 9822260 | 453 
9824974 | 9825426 | 9825878 | 9826330 9826782 | 452 
9829493 | 9829945 | 9839396 | 9830848 | 9831299 | 452 
9834007 | 9834459 | 9834910 | 9335361 | 9835812 | 451 
9838517 | 9838968 | 9839419 | 9839869 | 9840320 || 451] 
9843022 | 9843473 | 9843923 | 9844373 þ 98445823 | 450 
9847523 | 9847973 | 9348422 | 9848872 | 9849322 | 450 
9852019 | 9852468 | 9852917 9853366 | 9853816 | 450 
9856310 | 9856959 | 9857407 | 9857856 | 9858305 | 449 
9860996 | 9861445 9861893 9862341 | 9862790 | 448 
9865478 | 9865926 | 9866374 | 9866822 | 9867270 | 448 
9869955 | 9870403 | 9870850 | 9871298 | 9871745 | 447] 
9874428 | 9874875 | 9875322 | 9875769 | 9870216 | 447 
9878896 | 9879343 | 9879789 | 9880236 | 9880682 | 447 
9883360 | 9883806 | 9884252 | 9884698 | 9885144 | 440 
9887818 | 9888264 | 9888710 | 9889155 9889601 | 446 
9892273 | 9892718 | 9893163 | 9893608 | 9894053 | 445} 
9896722 | 9897167 | 9897612 | 9898056 | 9898501 | 445 
9901168 | 9901612 | 9902056 | 9902500 | 9902944 | 444 
9905608 99060562 9906496 | 9906940 | 99073833 | 444 
9910044 | 9910488 | 9910931 | 9911374 | 9911813 443 
9914476 | 9914919 | 9916362 9915805 | 9916247 | 443 
9918903 | 9919345 | 9919788 | 9920230 | 9920673 || 442 


G 2 


—ů— — 


—_—_. — n 


A TABLE of 


nas 
9921115 
9925535 
9929951 
9934362 
9938769 
9943172 
9947569 
9951963 
9956352 
9960737 
9965117 
9969492 
9973864 
9978231 
9982593 
9986952 
9991305 
9995655 


1 | 


9921557 
9925977 
9930392 
9934803 
9939210 


994.3612 
9948009 
995 2402 
9956791 
9961175 
9965554 
9969930 
9974301 
9978067 
9983029 
9987387 


9991740 
9990090 


2 | 3 
9921999 | 9922441 
9926419 | 9926860 
9939334 | 9931275 
9935244 | 9935685 
9939650 | 9940090 
9944051 | 9944491 
9945448 | 9945888 
9952841 | 9953280 
9957229 | 9957068 
9961613 | 9962051 
9965992 | 9966430 
9970367 | 9970804 
9974738 | 9975174 
9979104 | 9979540 
9983405 | 9983901 
9987823 | 9988258 
9992176 | 9992611 
9990324 | 9999959 


7 


— 
9922884 
9927302 
9931716 
9936126 
9940531 
2944931 


9949327, 
995 3719 
9958106 
9962489 
9966868 
9971242 
9975611 
9979976 
9984337 
9988694 
| 9993046 
| 9997 393 


every + Point of the Compals. 


— 


TABLE H. Of ARTIFICIAL SINES, to 


"z 
ct 
GO 


5 O «| 
O >|» tim di 


O e- 


2 vel — — — 
Oeser 


Ge IV 


| 


O E- 


+ 9 


— 


Log. Sine.“ 


8.690794 1 
8.9913O15G 
9.1665201 
92902357 


9-385 5708 
9+4 228280 
95274879 
9.5828 397 
9.030992 
9.67 33865 
97110499 
97447390 
9.750296 
9. 8023585 
9.8270841 


9.84948 50 


Arith. Co. 


1. 3092059 
1.086985 
o. 8334789 
0.7097043 
0.0144292 
0.5371710 
044725121 
0.4171603 
0. 3090079 
o. 3266135 
o. 2889801 
0. 2552610 


0. 2249704 
0. 1976415 
o. 1729159 
o. 1505 150 


Pts Log. Sine. 
4 1 9.8697896 
4298881893 
429.9048280 
— 212844 
5 3| 9:9333499 
5 2 9:9454299 
5 3] 99501032 
6 9] 99656153 
0 599738406 
629.9808848 
6 429.9867857 
222239 
|; 429.9952738 
729.9979037 
74 99994765 
8 O | 10.CCOOCOO 


|Arith. Co. 


o. 1302104 
O.1118147 
0.0951720 
0.0801530 
0.00605 01 
9.054572 
o. 0438368. 
0.0343547 
0.0201594. 
0.0191152 
00132143 
0.0034201 
0.0047202 | 
o. oo20963 
o. ooo 235 
— 88 


1 


ö 


1 


= 4 
OY 


— 


0 


— — — 


T7” SS & 5B 


FAY 


—::: T 


[= — 2 SSS 


—_— 


LOGARITHMS. 


Minute of the Quadrant. 


From whence the logarithmic Secant is readily found, by 
oY ſubtracting the Coſine from 20. 


And the natural verſed Sine is = 1 = the Coſine. 


To find the natural Tangent, Cc fee the Introduction to 
the Tables, at the Begining of this Volume. 


M. B. The logarithmic Radius of theſe Tables is 10. The 


ö 
natural Radius is =.1, and therefore the natural 


and Coſines muſt be ſuppoſed io have the Decimal Point (.) 
prefixed, 


1 


| 


Sines 


45 
WM? 122 [TY e Diff. 
9923326 9923768 | 9924210 | 9924051 | 9925093 442 
9927744 9928185 | 9928627. | 9929068 | 9929510 ||. 442 
0932157 | 9932598 | 9933939 | 9933480 | 9933921 [ 441 
9936506 9937007 | 9937443 | 9937888 | 9938329 || 441 
9940971 9941411 | 9941851 | 9942291 | 9942731 [ 440 
9248277 | 9945811 | 9946251 9946690 | 9947130 |} _449 
9949767 9950206 | 9950015 | 9951085 | 9951524 || 440. 
9954158 9954597 9955936 | 9955474 | 9955913 [[ 439 
9958545 | 9958983 | 9959422 | 9959860 | 9960298 [ 439. 
9902927 | 9903365 | 9963803 | 9964241 9964679 438 
0967305 | 9967743 | 9968180 | 9968618 9969055 || 438 
9971679 9972116 | 9972553 | 9972990 | 9973427 || 437 
log76048 | 9976485 | 9976921 | 9977358 | 9977794 || 437 
9980413 | 9980849 | 9981285 | 9981721 | gg82157 || 437 
9984773 | 9985209 | 9985645 | 9986080 | 9986516 || 436 
9989129 9989504 | 9990000 | 9990435 | 9990870 || 435 
9993481 | 9993910 | 9994350 9994785 | 9995220 || 435 
9997828 | 9998262 | 9998697 | 9999131 1 9999366 0 435 
Now followeth TABLE III. 
Containing the ART1FICIaL SinNesand TanxcenrTs, 
alſo the NATURAL. SINES, to every Degree and 


1 


4 


— . — . ̃— r er 
— = oo EY 5 — 4 - — x — by r —_ 


dns Show > tr Sion oo 


* —  —— — — ——— 


A Table of Artificial Sines, 


„ 


o Degree. 


Ln e aw > — 


12 


[Yn 
O 0882 


da 
— 


ta d 
tv 


tere e 
38888484 


Sine. 


O 
Index 6. 


4637261 
7647561 


9408473 
Index 7 


0657860 
-1626960 
2418771 
3088239 
3668157 
4179681 
4037255 
5081181 
5429005 
5776684 
60985 30 
6308160 
6678445 
6941733 
7189966 
7424775 
7047537 


7859427 


2 [8001458 


8254507 


$439328 
8616623 


8780943 
8950854 
9108793 
9291190 
9408419 
Co-nne. 


Co-fine. 
10. 


9999999 
9999999 
9999998 


9999997 
9999995 


9999993 


Tang. 


[lo000000 
Index 9. ¶ Index 6. 


4637261 
7047562 


9408475 
Index 7 


0657863 
1626964 


2418778 


Co- tan. 


Infinite. 
Index 13. 


Natural 
Sine. 
— —— 


O 


536273902909 
235 2438 [O05 818 


0591525 [0008727 
Index 12 

9342137 [0011636 
837303681484. 
75812220 0017453 


— 


99999911] 3088247 


9999988 
9999985 
9999982 


9999978 
9999974 
9999969 
9999964 


9999959 
9999953 
9999947 
9999949 
9999934 
9999927 
9999919 
9999911 
9999902 


9999885 


3668 169 
4179696 
4037273 
5051203 
$429091 
5770715 
6098566 
6398201 
6678492 
6941786 
7199020 
7424841 
7647610 
7859508 
8061547 
8254604 


— — 


2999894113439444 
8516738 


999987611878707 7 
9999866|]8950983 
99998 56[9108938 
9999845 119201344 


99998351194085 84 
| Sine. Co-tan. 


691153 [Ooo2030. 
6331831002327. 


5820304 
5362727 
4948797 
45 79909 
4223285 
39014 34 
3601799 
3321508 
3058214 
280997 4 
2375159 
2352390 
2140492 
1938452 
1745390 
1560556 
1383262 
1212923 
1049012 
o89 1062 
07 38656 
0591416 


Tang. 


0020180 
05929089 
0031998 
0034906 
0037815 
00407 24 
0043633 
0046542 
0049451 
905 2360 
0055 268 


005817719999831 


0061080 
0063995 


0066904} 9999776 


00698 13 
0072721 


0. 756309999714 
00785 39] 9999692 
0081448] 9999608 


084357 
0087205 


Nat.Co. 


Natural 
Cos ſine. 
— 


1. 


— —U—ͤ 


9999999 


9999993 


9999966 


9999939 
9999928 
9999917 
9999905 
9999392 
9999878 
9999863 
99998 47 


9999813 
9999795 


9999750 
99997 36 


9999044 
9999019 


9999998058 


2999990157 


9999989155 


9999985 


99999795 
2399973152 
79999758 
9999949 


Nat. Si. 


| 


89 Degrees. 


— 


114 + 


== 


Ce". oe 6a 34.0. JA oi 


7 Tangents, and Natural Sines. 


bf o Degree. 


2 5 f | | Natural 

50 M Sine. |Co-ſine. || Tang. Co- ſine. 

_ Index 7. Index 9. Index 7. 

eee 9999835 | 9423554 
1095508 19 9999823 [580996 
ad I 988869899998 1296888886 
68233488 9822534 
| WH (341995 198012999755 $995 219212047000 12090909 
Index 8. | Index 8. 
| WM (3510077857 [9999775 [227509215 
| :610200207 [99997 62 || 9260445 
3710319195[99997481 9319446 
A 380435009 99997 35 | 92435274 
| Wl [3910547 81419999721 || 0548094 
9 zo|0657763|9999706 [| 2658057 
4110764997|9999691 | 0705306 
{| Wl |+:[0869646[9999676 [9869970 
43]0971832|9999660|| 0972172 
5 4411071669 9999644 | 1072025 


9999619] 30 
9999593129 
999956628 
99995 39] 27 
9999511] 26 


9999482025 
9999452124 
9999421023 
999938922 | 
9999356021 4 
9999323 
9999289 
9999254 
9999218 
9999181 


4 45]1169262[9999628 || 1169634 [8830366 9999143 fi 
1 4612647 109999611 2650998734901 9999194 | 1 
| 4711358104|[9999594 || 1358510[8641490 999906; | 
o Ml [411449532 [9999577 | 1449956135 50044 9999925 '| 
= 4911539075 19999559! 539516 e 9998984 
; 5011626808]99995 41 || 1027207[5372733 9998942 ; 

$111712804|99995221]1713282[5286718 9998899 


5297129 9999503797626 
3018798489999 4841880364 
541196102019999464 || 1901550 
$51204070319999444 [| 2241259 
2118949]9999424|[2119520 
5712195811 [9999403] 2190408 
5312271335|[99993821}2271953 
592345 5689999360 [2346208 
bo[2418553]9999338|[2419215 

Co-fine, ] Sine. I Co-tan, 


9998855 
9998811 
9998766 
7958741]1015998219995720 
7880474||0162890]999867 3 
7803592 0165799 9998625 
7728047 0168709998576 
76537920171616]9998327 
7580785 [1245242228472 
| . | Nat. Si. 


. O ls 2 8E $I S8 


| =] © — @> — + 12 Ona 
2 
Lew 


— — 


o m MN Us 


—— 


—— L 


A Table of Artificial Sines, 


—— —— 


1 Degree. 


1 


10 


— —_ 


Sine, 


Index 8. 

2418553 
2490332 
2560943 
2630424 
2698810 
2766136 


2832434 
2897734 
2962067 
3025460 
3087941 
3149530 
3210209 
3270163 
3329243 
3387529 
3445043 
350180g 
3557835 
3613150 
3667769 
3721710 
3774988 


38 2762009998734 
3879622 9998703 
393 10089998672 
398 17930999804 
4031990999809 
408 1614/9998577 
4130076199985 44 
4291999228812 


Co- ſine. 


Co-fine. 


Index 9. 
9999333 
9999316 


9999271 [2631153 


9999271 
9999247 


9999224 


9999800 
9999175 
9999150 
9999125 


9999100 


Tang. 


Index 8. 
2419215 


2491015 
2561649 


| 


2699563 
2766912 
2833234 
28985 59 
2962917 
3026335 
8 


9999074 3150462 


9999047 
9999021 
9998994 
9998966 
9998939 
9998911 
9998882 
99988 53 
2228824 
9998794 
9998764 


13211221 
3271143 
3330249 
3388 563 


— — —— — 


3440105 
3502895 
3558953 
3614297 
3558945 
3722915 
3776223 


3828886 
2880918 


3932336 
3983152 
4033381 


4132132 
4180679 


Sine. Co- tan. 


40830375 


Co: tan. 


Index 11. 
758078; 


7508985 
7438351 
7368847 
7300437 
7233088 
7166766 
7101441 
7037083 
697 3665 
6911157 
6849538 
6788779 
6728857 
6669751 
6611437 


6553895 
6497105 
6441047 
6385703 
6331055 
0277085 
0223777 


Natural 
Sine. 


0174524 
0177432 


0180341 
0183249 
0186158 
0189066 


0191974 
019488 3 


019779! 
0200699 


0203608 
02065 16 


0209424 
0212332 


0215241 


0218149 
0221057 


0223995 


0220873 


0229781 


0232090 
0235598 


Nataral 
Co-fine, 


999847700 
999842659 
999837458 
9998321057 
999826756 
9993212155 
9998157154 
999S101];; 
999804452 
9997980051 
9997927150 
9997807149 
9997806] 48 
9997745147 
9997683146 
9997020145 


9997550144 
9997491143 
9997425142 
9997359141 
9997292140 
9997 224139 
9997155133 


(10253040 


0238500 
0241414 
0244322 
0247230 
0250138 


999708503; 
9997014030 
9996943135 
9996871034 
9990798133 
9996724132 
999664903! 
99965 73130 


0255954 
0258802 


0261709 


Nat. Si. NM 


— 


Nat. Co. 


88 Degrees. 


1 


— 


— — —— — — 


— 


— . m 0 lo 


Tangents, and Netural Sines. 49 
— ͤ — c — - '] 
: | 


— | bp . | 


K Sine, | Co-fine. | Tang. |Co-tan. | Natural | Natural | .. 


| | ok Sine. [Co- fine. 
Index 8. | Index 9. || Index 8. Index 11. q 


304179199 9998512 [4180679|5819321 [026176999965 73/30 

z1 4227168] 9998478 4228690 5771310 0264077 999649629 
3214274621] 9998445 4276196| 5723824 [0267585 999641928 
1314321561] 9998411 [4323150] 5676850 0270493996347 
3414367999] 9998376[4369622| 5630378 0273401 999626226 
3514413944| 9998342144 156031 5584397 2288922281822 
3614459409] 9998 30614401103] 5538897 10279216|19990101] 24 
1 4504402999827 4506131] 5493869 [2821249996019 23 
3314548934|9998235 [4550699] 5449301 [9285032[9995936]22} 
3945930139998 199 4594814540186 [0287940[9995853121 

1 463664919998 16214638486] 5301514 10290847 19995769120 
a1|4679850|99981 25 4581725 5318275 [0293755|9995684| 19] 
42 4722626|9998088 147245 38| 5275462 0296662 999559818 
4764984 |9998050[[4766933] 5233067 [0299570|9995511|17 
4414806932 9998012 48089205 191080 [0302478|9995424|16 
484847919997974 [4850505] 424228885 2928325017 
4604889632 9997935 48916965 108304 3082939995247 
4749303989997 896493250 5067498 0311200999515) 
4314970784 | 9997 856114972928] 5027072 [0314108 9995066 
4915010798 |9997817]|5012982 4987018 [3170159994974 
305080447 999777611595 207114947329 (2319922[9994881 
51150897 36] 99977 361] 5092001] 4907999 10322530|9994788 
5215128673 [999769511 5130978] 4869022 103257 3719994694 
$315 167264 [999765 315169610] 4830390 [0328044[9994599 
54|52053514|[9997612 1 5 4792098 0331552 9994503 


ö — — — —u— — Z 


% 


— 
wy 


= 2885 


— 
— 


=Zlo — 9 0 ON 


11. —˙ — RY oo — Nt fy UA Goh SS oo tc ow a  R\ Cx cow oo 
A 
— 


— —t 


5515243430199975701|5 245 860] 4754140 10334459[9994400 
56]5281017|9997527 5283490 471651010337 36619994308 
5715318281 [9997 484 [[5 320797] 4079203 [034027 319994209 

5355228|9997441]|5 357784] 4642213 10343181]9994109 
5953918639997 398115 394466| 4605 5 340346088 9994009 
bo] 5428192[9997 354115430838] 4569162 10348995 [9993908 
Co-tine, | Sine. [Co-tan. | Tang. Nat. Co. [Nat. 81. 


1 , UG RR __ 
ay 
OS 


re CS — 


| 


88 Degrees. 


- - a” — * 


1 
> 


4+ 
” . 
- 
. * * 
H * 
* 


— — =, — —ẽ — — — — 


N 


30 


5 A Table of Artificial Sines, 


- 


— —— 


2 Degrees. 


= 


— 
O 


E 


5708357 


18239483 


Sine. 


Index 8. 
5428192 
5404218 
5499948 
5535380 
5570536 
5605404 
5039994 
5674310 


5742139 
5775060 
5808923 
5841933 
5874694 
5907 209 


5971517 
6003317 
6034886 
6066226 
6097341 
6128235 
6158910 
6189369 
6219616 
6249654 
6279484 
6309111 
6338537 
6367764 
6396796 


Tang. 


Index 9. | Index 8. 
9997 354] 5430838 


999759545909 
9997 265 || 5502683 
99972200 5538166 
9997174 5573302 
9997128|| 5608276 
9997082|| 5042912 
99970360 5677275 
9996989 5711368 
9996942 5748197 
9995894 22825 
999684658 12077 
59967985845 136 
9996749 5877945 
9996700|| 5910509 
9996650] 5942832 
9996001 
9990550 
9990500] 
9996449 0009777 
9996398 ].610094. 3 


9996346 0131889 


— 


6006767 


| 


9996294 |,0162616| 
9996242 6193127 


9996189 [0223427 
9996136 


5974917 
6038386 


9996082 
9996028 
9995974 
9995919 


9995355 


Co-ſine. 


Sine. 


16283402 


19342563 


6313083 


6371845 
540931 


Co- tan. 


Index 11. 
4569162 


4533091 


4497 317 


4401834 
4426638 
4391724 


4357088 
4322725 
4288632 
4254803 
4221234 
4187923 
4154864 


Co-tan. 


Natural 


0253518|3746482 0421663 


Nat.Co. 


Sine. 


0343995 
0351902 
0354809 
0357716 
036062 3 
0363530 
0366437 
0369344 
0372251 
0375158 
0378065 
0380971 
0388878 
0386785 
0389691 
0392598 
0395505 
0398411 
0401318 
0404.224. 
0407131 
0410037 
0412944 
0415850 
0418757 


0424569 
0427475 
0430382 


0433288 


3599969 [2430194] 


9993908 


9993806 
9993703 
9993599 
9993495 
2923390 
9993284 
9993177 
9993069 
9992960 
9992851 
9992740 
9992629 
9992517 


999240446 


9992290 
9992175 
9992060 
9991944 
9991827 
9991709 
9991590 
9991470 


9991349 


9991228 


9991106035 


9990983 
99905 59 
9990734 
9990608 
9990482 


Nat. Si. 


— 
wy 


£ 


87 Degrees. 


— —— 
. —— 


| 


Tangents, and Natural Sines. 


51 


2 Degrees. 


3316482742 
| 5 6511016 


if 6539107 


— 


1M] Sine, |Co-fine. DI 


Index 8. 
3016396796 


$1[6425634 
3216454282 


Index 9. 
9995865 


9995 30g 
9995753 
9995697 
9995041 
9995584 
9995527 


9995469 
9995411 


36 6567017 
3716594748 
3806622303 
396649684 9995353 
40]667689319995 294 
4116703932[9995 236 
42|6730804 [9995176 
3067575 109995116 
4678405 29995056 
451081043319994996 
46|683665419994935 
4716862718|[9994874 
4816888625] 9994812 


(4910914379[99947 50 


9399809994688 
51096543 19994025 
5269907 349994562 
537016889 9994498 
5470489999435 
8285756999432 


56[7090490| 9994306 
5 7115075 9994241 
5871395 20999476 
97163829 9994110 
6017 188002| 9994044 
Co-fine, Sine 


Index 8. 
6400931 
6429825 
6458528 
6487044 
9515375 

0543522 
6571490 

599279 
6626891 


66 J 
6681598 
6708697 
6735628 
6762393 
6788996; 
6815437 
684171 

6867845 
689381 3 
6919629 
0945292 
6970806 
6996172 
7021390 
7046465 
7071395 
7096185 
7120834 
$4 1 


tank 


Co-tan. 


Intex 11. 
3599069 
3570175 


3428510 
3400721 
3373109 
3345669 
3318402 
3291303 
3204372 
3237607 
3211004 
3184563 
3158281 


43132156 


3106187 
3080371 
3054708 
3929194 
3003828 
2978610 
2955 35 
2928005 
2903815 
2879166 
2854655 
2830281 
2806042 


Co-tan. 


Tang. 


Notural 


Sine, 


— —— — 


04361941 
0439100 
0442006 
9444912 
0447818 


4802242 


0453630 
0456536 
0459442 
0462347 
0465253 
046815919 
0471064. 
0473970 
0476876 
0479781 
0482687 
0485592 
0488498 
0491403 


0494308 
29494308, 


0497214 
0500119 
05030924 
0505929 
0503835 
0511740 
0514645 
0517550 
0520455 


0523360 


Nat. Co. 


4 


Natural 
Co- ſine. 


2990482 
9990355 
9990227 
9990098 
9989968 


9989837 


9989705 
9989573 
9989440 
9989306 
9989171 
9989035 
998889 
9988761 
9988623 
9988484 


9988344 


9988203 
9988061 


9987918 


998777 


9987631 
9987486 
9987 340 
9987193 


9987045 


9986897 
9986748 
9986579 
9986447 
9986295 


Nat, Si. 


10 


Elo — . 8 Wy 


87 Degrees. 


H 2 


A Table of Artificial Sines, 


\ 


18 


6 8828 
Vw ow Ovim þ w 


S8 > vt =| 50 O ons ee I 


22 


12 


3 Degrees. 


| Sine. 


Index 8. 
7188002 
7212040 
7235946 
7259721 


7283366 
7306882 


7330272 
7353535 
7376675 
7399691 
7422586 
7445360 
7468015 
7490553 
7512973 


7557409 


7579546 
7601512 
7623366 


7666747 
7688275 
7709697 
7731014 
7752226 


7794340 
7815244 
7836048 
7850753 
Co-tine. 


Co-ſine. 


9993223 


7535278 


7045111, 


7773334 


Tang. 


Index g. index 8. 
999494417193958 
9993978]7 218003 
9993911]|7 242035 
99938344117 205877 
99937 706117 289389 
9993708117 313174 


— — — 


9993640733663 
999357217 359904 
999359317353172 


999 3433117490258 


999330417429222 


999329317 452007 
7474792 
7497 499 
7519892 


9993152 
9993081 
2993909 
9992938750453! 
299286; 7586681 
999279317008719 
99927 2017030047 
9992572117074175 
99924981}7695777 
9992424/7717274 
9992349177 38005 
292222402822 
99921987781136 
999212207802218 


99920467823 199 


9991969 7844079 
7864861 


7542269 


Co- tan. 


Index 11. 


2806942 


2781937 
275790; 
2734123 
2710411 
2686826 


2663369 


2640036 
2616828 
2593742 


2570778 


2547933 
2525208 
2502600 
2480108 


2457731 


2347535 


2197782 
2176801 
2155921 
2135139 


CE ———— 


— 7 


Nato 


* -" 
WI as 


0555311 
O558215 
0561119 
0504024 


0569832 
0572730 
0575040 
0378544 
058144 

0584352 
0587250 
©590100 
0593004 
0595907 
0598871 


0601775 
0604678 


1: atural | 


523390; 
0526264 /0986142 
0529104 19985989 
05 320749985835 


288524 


7998 5050 


0566928] 


9985680 


9985367 
9985 209 


9934891 
9984731 


— — 


9984570 


9982917 
9982741 
9982570 
9982398 
9982225 
9982051 
9981876 
9981701 
9981525 
9981348 


Nat. Si. 


86 Degrees. 


Tang. 


a — — on y CIIC II y 


—er re ere ere oo. > 4 


Tangents, and Natural Sines. 


— —— 


* 


- — . * 
— 


M] Sine. 


Inder 8. 
37888283 


331791827; 
3417938594 


617978941 
371799897 4 
3818018915 
39|8038764 


410878192 


8117264 
46 36666 
4513155985 
4618175217 


4818213425 
90823 2404 
308281299 
5118270112 
52182888 44 


15318307495 
5418326066 


568362969 
718381304 
5012399501 
5918417741 
6018435845 
Co-fine, 


19991892 


31 1877359 
217897807]! 
; 819991659] 


351795881 4 


4080585 23 


2809777 2 


18194363 


818344857 


? s — pme—gongag py _ ww. i 2 


—— 


— —— — 


Co-ſine. Tang. 


Index 3. | 
17864861; 


99918157885 544: 
9997377905130 
8 7926620 
999158017947014 
999150117967313 
9991422|7987519 
9991 34218007032; 
9991262802705 3; 
999118208047583 
999 11071080657422 
99910200 8087172 
99909388 100834 
99908568 126407 
9990774145894 
(999069113165 294 
9990088 184605 
99905 2508203838 
999044108222984 
9990357 8242046 
9990273 8261026 


9990188 [8279924 
9990103 [8298741 
9990017 [8317478 
998993 108336134 
9989845 8384712 
9989758837321 
99896710[8391633 
99895 84 [8409977 
998949608428245 
9989428 18449437 


3 Degrees. 


Co tan. 


282 
2114456 
2093870 
2073380 
2052986 
2032687 
2012481 
1992368 
1972347 
1952417 
1932578 
1912828 
1893166 


1873593 
1854106 


0027905 
0630808 
0033711 
0630614 


0642420 
0045 323 
0648226 
0051129 


1834700 


1815392 
1796162 
1777016 
1757954 
1733974 
1720076 
1701259 
1682522 
1663856 


1571755 
1853563 


Sine. [Co-tan. 


| 


Tang. 


0654031 
0656934 
05598 36 
0662739 
0665641 
06685 44 


0674348 


068015 
47 $854, 


50685957 


0688859 
0591761 
9694663 
2097505 
Nat. Co. 


919981170 
9980991 


0639517 


0671446 


0077251, 


Natural 
Co- ſine. 
— 


9981348. 


9980811 
9980630 
9980449 
9950207 
9980084 
9979900 
9979715 
9979529 
9979343 


9978968 
9978779 


9978398 
9978206 
9978014 
9977821 
9977627 
9977432 
9977230 
9977039 
9970842 
9976644 
9970445 
9970245 
9970044 
9975842 
9975640 


9978589]: 


Nat. 81. N 


86 Degrees. 


— 


A Table of Artificial Sines, 


4 Degrees. 


y” way 


=_ 


[50 ow np ww o 


Sine. 


Index 8. 
8435545 
8453874 
8471827 


8489707 
8507512 


8500493 
8578010 


8595457 


8630139 


8647376 


8664545 
868 1646 


8698680 
8715640 


8749381 
8766150 
8782854 


8799493 
8816069 


8849031 
8865418 


8898007 
8914209 
8930351 
8946433 
Co- hne. 


85 25245 [9988962 
8542905 


8612833 


8732546 


9332581 


888174399 


Co- ſine. ] Tang. 


Index 9. 
2289488446432 
9989319 8464554 
9989230 


9988780 
9988689 
9988598 
9988500 
9988414/8641725 
9988321865905 
998822886763 17 
9988135 [86935 11 
9988041187 10638 


' 


9587947]}187276099 


998775818761623 
9987663]8778487 
9987567118795286 


8589321 
8606859 
8624327 


8894757 
9986888]8911119 
998679918927420 
998669 108943060 


99865910[8959842 


8482597 


Co-tan. 


Index 11. 


1358275 
1340945 
1323683 
1306489 
1289362 
1272301 
1255306 
1238377 
1221513 
1204714 
1187978 
1171306 
1154697 
1138150 
1121666 
1105243 
1088881 
1072580 
1056340 
1040158 


Sine. 


07265 80 


Natural 


Sine. 


0697565 
0700466 
0703368 
0706270 
0709171 
07 12073 


9714974 
0717876 
0720777 
0723678 


0729481 
0732382 
735283 
0738184 
0741085 
0743986 
0740887 
0749787 
0752088 
0755589 
758489 
0761390 
0764290 
0767190 
0770091 
0772991 
0775891 
0778791 
0781691 
0784591 


Natural 


Co-fine, 


997 5640[60 
9975437159 
9975233158 
9975028057 
997482256 
9974915155 
997440754 
9974199153 
997 3990] 52 
997378051 


997 3569 x] 


997 3357 
9973144048 
9972931047 
9972717 


9297250245 


9972286 
9972069143 
9971851142 
9971632141 
9971413 


9971193139 
9970972138 
9970750137 
9970527 
9979393135 
997 9079] 34 
9969854133 
9969628032 
996940113! 


Tang. Nat. Co. 


Nat. Si. M 


— 


996917 3139| 


85 Degrees. 


— — 


— 


— ** 


a 8 


EEE 


% 


Tangents, and Natural Sines. 


4 Degrees. 


Sine. 


— — 
Index 8. 

8940433 
8962455 
8978418 


8994322 
9010168 


35|9925955 


9041685 
9057358 
9072975 
9088535 
9104039 
9119487 
9134881 
9150219 
9165504 
91807 34 
9195911 
9211034 
9226105 
9241123 
9256089 
927100 
9285866 
9300678 


9330150 
9344811 
9359422 
$19373983 
5919388496 
9402960 


9315439 


Co- ſine. 


9985475 


9985372 
9985 268 
9985163 
9985058 
9984953 
9984848 
9984742 
9984636 


9984529 
319984422 


9984315 
9984207 
9984099 
9983990 
9983881 
9983772 
9983663 


_JCo-ſine. } 


9923442 19419518 


Co-tan, [ 


Index 8. 


Tang. 


8959842 
8975903 
8992026 
goo8030 
9023977 
9039806 
9055697 
982147 
9087 190 
9102853 
9118460 
9134012 
9149509 
9164952 
9180340 
9195675 
9210957 
9226186 
9241363 
9256487 
9271560 
9286581 
9301552 
9316471 
9331340 
9346160 
9360929 
9375950 
9390321 
3404944 


Index 11. 
1040158 


1024037 
1007974 
0991970 
0976023 
9200114 
0944303 
0928528 
0912810 
0897147 
0881540 
o865988 
0850491 
0835048 
0819660 
0804325 
0789043 
0773814 
0758637 
0743513 
0728440 
0713419 
0698448 
0683529 
0608660 
053548 
0639071 
0624390 
135 
609679 
95950856 
0580482 


Co- tan. Natural 


Sine. 


0784591 
0787491 
0790391 
0793290 
0796190 
799090 
0801989 
0804889 
0807788: 
0810687 
0813587 
0816486 
0819385 
0822284 
0825183 


TY 
Co-fine, 


9969173 


9908944 


0828082 


0830981 
0833880 
0836778 
0839077 
0842576 
0845474! 
0848373 
0851271 
0854169 
0857067 
0859965 
0862864 
0865762 
0868660 


0871557 


| Tang. | Nat.Co. 


9905414 
9965172 
9964929 
9904685 


9964440 


9964194 
9903948 
9963701: 
9903453 
9903204 
9992954 
9962703 
9962452 
9962200 


9901947 


Nat. di. 


85 Degrees. 


A Table of Artificial Sines, 


5 Degrees. 


. 


tn M. 


* ** 


E 


60 0 


13133 


"A 


Sine. 


Index 8. 
9402960 
9417376 
9431743 
9446063 


9400335 
947 4521 


9488739 
9502871 
9516957 
9530996 
9544991 


9558940 
9572043 
9586703 
9600517 
9614288 
9628014 
9641697 
9655337 
9668934 
9682487 
9695999 
9709468 
9722895 
9736280 
9749024 
9762926 
9776188 
9789408 
9802589 
9815729 


Cor fine. 


Co- ſine. 


Index . 
9933442 
9983332 
9983220 
9983109 


9982997 
9982385 


9982772 
9982660 
9982546 
9982433 
9982318 
9982204 
9982089 
9981974 
9981859 
9981743 
9981626 
9981510 
9981393 


9981275 


92281158 
9981040 
9980921 
9980802 
9980683 
— 
9980443 
9980323 
9980202 
9980081 


9979960 


Sine 


loco 


| 


] 


| 


Tang. 


Index 8. 
9419518 
9434044 
9448523 
9402954 
9477338 
9491676 
9505967 
9520211 
9534410 
9548564 

9562672 
3570735 
9590754 
96047 28 
9618659 
9632545 
9646388 
9660188 
9673944 
9687658 
9701330 
9714959 
9728547 
9742092 
9755597 


9769060 


9782483 
9795865 
9809206 
9822507 
9835709 
Co- tan. 


ö 


Co- tan. 


i. 
0580482 
0565956 
OF51477 


0537046 
05 22662 


0423265 
0409246 


0367455| 
0353612 
0339812 
0326056 
0312342 
0298670 
0285041 
9271453 
0257908 
0244403 
0230940 
0217517 
0204135 
0190794 


0177493 
0104231 


Tang. 


Natural 
Sine. 


0871557 


0874455 


0877353 
0380251 


0883148 


0508324 19386046 


5494033688894 
0479789 [0891840 
4655900894738 
4514360897635 
0437328 ©9005 32 


0903429 
0990326 


0395272090922 3 
3813410912119 


0915016 
9917913 
0920809 
0923706 
0926602 
0929499 
0932395 
0935291 
0938187 
0941083 
0943979 
0946875 
994977 
095 2666 
0955502 
0958458 
Nat. Nat. Co. 


| 


* 


Natural 
Co-ſine. 


9961947 


9961693 
9961438 
9961182 
9960926 
9960669 


9960411 
9960152 
9959892 
9959631 
9959309 


9959107 
9958844 
9958580 
9958315 


9953049145 


9957782 
9957515 
9957247 
9956978 
9956708 

9956437 
9956165 
9955892 
9955619 


9955345135 


9955070 
9954794 
9954517 
9954240 
995 3902 
Nat. Zi. N 


84 Degrees. 


— + 14+ 2 ws . us ws ee 


Tangents, and Natural Sings, 


5 Degrees. 


— * 


1— 


3919932217 
4019944968 


Co-ſine. 
lndex g. 
9979960 


9199799 3S 


9979716 
9979593 
9979470 
9979347 


9979223 
9979099 
997897 5 
9978850 
9978725 
9978599 
9978473 


119978347 


9978220 


997 809 
997 965 
9977838 
9977710 
9977582 
9977453 
9977323 
9977194 
9977064 
9976933 


319976803 
19970672 


9970540 
9976408 
9976276 


61997614 3 


Vo. 1 lie, 


Sine, 


Tang. 
Index 8. 


9835769 


9848991 
9862173 
9875317 
9888421 
9901487 
9914514 
9927503 
9942454 
9953307 
9900243 
9979081 
9991883 
NEX 9 
0004647 
9017375 


0030066 


0042721 
0035340 
0007924 
OO804.7 1 
00929834 
0105401 
0117903 
0130310 
0142682 
OIG5SO2? 1 
0167325 
0179594 
0191831 
0204033 
02162 2 
Co-tan. 


Index 11. 
0164231 
O15100g 
9137827 
0124683 
0111579 
0098513 
0085 4.86 
007 2497 
0059540 
0046633 
0033757 
0020919 
0008117 
Index 10. 


9995353 
9982625 


9969934 
9957279 
9944660 
9932070 
9919529 
9907016 


——— 


9894539 
9882097 
9869690 
9357318 
9544979 
9832075 
9820406 
9808169 
9795957 
9783798 


Tang. 


| Co-tan. || Nar. Si. 


0958458 
0901353 
0964248 
0907144 
9970039 
0972934 
0975829 
0978724 
0981619 
0984514 
0987408 
0990303 
0993197 


0995092 
0998986 


1001881 


1004775 
1007669 
1010563 
1013657 


1310350 


I — 


1019245 
1022138 


1025032 
1027925 


1030819 


1033712 
1036605 
1039499 
1042392 
1045285 
Nat. Co. 


Nat. Co. 


— 


9952962 
9953083 
995 340 
9953122 
9952540 
9952557125 
9952274 
9931990 
995170; 
9951419]21 
221132 
9950844 
995055518 


995026617 
994997616 


222885015 
9949393 
994910013 
9948806 
94851211 
924821710 
994792! 
9947024 
9947 329 
9947027 
9949728 
9940425 
9940127 
9945825 
9945522 
Wares 
Nat. Si. 


8 Slo JPY AW 0 


84 Degrees. 


1 


A Table of Artificial Sines, 


6 Degrees. 


0800 S + wo (©) 95 


10 


Sine. 


Index 9. 

0192346 
0204348 
0216318 
0228254 
0240157 
0252027 
0263865 
0275609 
0287442 
0299182 
0310890 
0322507 
0334212 
0345 825 
0357407 
0308958 
0380477 
0391966 
0403444 
0414852 
0420249 
0437616 
0448954 
0460261 
0471538 
0482786 
0494005 
0505 194 
0516354 
0527455 
0538588 


Co- lune. 


Co- ſine. j| Tang. 


- 


Index 9. 
9976143 
9970011 
9975877 
9975743 
997 5699 
9975475 
9975 340 
9975205 
9975069 
9974933 
9974797 


997 4660 
997 4523 
997 4380 
9974248 
9974110 


997 3971 
9973833 
9973693 
9973554 
9073414 


9973273 
9973132 
9972991 
9972850 
997 2708 
9972566 
9972423 
9972280 
9972137 
2971993 


Sine. 


Index g. 
0216202 
0228338 
0240441 
025 25 10 
0204548 
02765 52 
0288524 
0300464 
0312373 
0324249 
9330093 
0347900 
0359088 
0371439 
0383159 
0394848 
0400505 
04184 34 
0429731 
0441299 
0452830 
0404343 
0475821 
0487270 
0498089 
0510078 


0521439 
0532771 


Co-tan. || Natural 


1 


9783728 
9771662 


9759559 


9747490 
9735452 
9723445 
9711476 
9699526 
9687627 
907575 
9563907 
9652094 
9640312 
9028561 
9616841 
9605152 
9593494 
9581866 
9570269 
9558701 
9547164 
9535057 
9524179 
9512730 
9501311 
9489922 
9478561 
9467229 
9455920 


Sine, 


1045285 
1048178 
1051070 
105 3963 
1056856 
1059748 
1062641 
1005533 
1068425 
1071318 
1074210 


1077102 


1079994 
1082885 


1085777 
1088669 
1091560 
1094452 


1097343 
1100234 


1103126 


1106017 
1108908 
1111799 
1114689 
1117580 
1120471 
1123361 
1126252 


944405101129142 


222292. 


Lang. 


Nat. Co. 


Natural 


| Co- fine, 


9945218 


Re 


9944914 
9944609 
9944303 
9943996 


9943088 
9943379 
9943099 
9942759 
9942448 
9942136 
9941823 
9941509 
9941194 
9940879 
9940563 
9949246 
9939928 
9939009 
9939289 
9938969 
9938048 
9938320 
9938003 
9937979 


9937354135 


9937028 
9930702] 


9930375 
9936047 
9935718 
Nat. di. 


83 Degrees. 


— — — — — — 


30 


3, 
30 
3 
4 
4 
4 
4 
4. 
is 
4 


A. 


— Þ + + 


| onus WT TY FAT wa ww Wh Wn | 


Tangents, and Natural Sines. 


59 


6 Degrees. 


6 


Sine. 


Index 9. 


Co- ſine. 


Index q. 
9971993 


| 


| 


Tang. 


Index 9. 


oe] + 


| 


Co-tan. 


Index 10. 


2433405 


Natural 
Sine. 


— 


1132032 


Natural 
Co- ſine. 


—_— — 


0385.90 
0549061 
056c706 
0571723 
0582711 
9593072 
0604604 
0615509 
0626386 
0637235 
064805 7 
065885 2 
06696 19 
0680360 
0991074 
0701761 
0712421 
0723055 
0733063 
0744244 
0754799 
0705329 


9935388 
9935058 
9934727 
9934395 
99 34962 
9933728 
9933393 
9933057 
9932720 
9942383 
9932045 
9931706 
9931366 
9931025 
9930684 
9930342 
9929999 
9929655 
9929310 
9923964 
99 28617 
9928270 
9927922 


1134922 
1137812 


1140702 
1143592 
1146482 


1149371 
1152261 
1155151 
115 8040 
1160929 
1163818 
1166707 
1169596 
1172485 
1175374 
1178263 
1181151 
1184040 
1186928 
1189816 


92035591} 1192704 
919299411593 393 
9182274119948 | 
0828331|9171609] 1201368 
8389119101089 129420 
08494669505 4/120 144% 

121009926521 


0359:;96; 9140004 
087 59129499 12129199926169 
1215800 9925810 


0880981191194 9g | 
dlgi4 191 9108e0211 121 409319935402 
Co-tan. | ans Nat {0 v1 


942287 
9410998 
9399836 
9388703 
9377597 
9366518 
9355497 
9344444 
9333447 
9322478 
9311535 
9300019 
9289730 
9278867 
9268031 


9257221 
9246437 
9235079 
9224947 
3 


0577813 
0589002 
0000164 
0611297 
0622403 
0033482 


0044533 


06555 56 
06665 5 


0077522 


9971849 
9971704 
9971559 
9971414 
997 : 268 
9971122 
9970976 
9970829 
9970682 
9972535 
9970387 
9970239 
997 0090 
9959941 
9999792 
9969642 
99509492 
9969342 
996919 
9969040 
9908888 
9908736 
9908584 
9968431 
9968278 
9968125 
9967971 
- [9907817 
9967662 
— 89482292807 
Sine. 


1 * 


0710270 
0721133 
0731969 
0742779 
753563 
0704721 
0775053 
od hed Ys 
0790441 
0807096 
031772 


— 
\S 


— ß RO». SY Yu OO , GOES NY . YU. TT WF w. cg. W's TY TW WF ©. 
— 
— 


83 Degrees 


12 


A Table of Artificial Sines, 


7 Degrees. 


„„ ˙·» 0 


oO 0 


4 


0 9 UW 
ee 


Sine. 


Index g. 
0358945 


0809221 
0579473 
0389700 
0399993 
0910082 
0920237 
0930307 
0940474 
0950550 
0960615 
0970051 
0989662 
0999651 
10005 16 
1010558 
102047 
1030373 
1040246 
1050096 
1959924 
1069729 
1079512 
1089272 
1099010 
1108726 


ludex 9. 
9967507 
9907 352 
9967196 
9967040 
9965884 
9966727 
9966570 
9990412 
9909254 
9956096 
2955937 
9965778 
9965619 
9965459 
9955299 
9965135 
9904977 
9964816 
9994055 
9904493 
9904330 


Co-ſine || Tang. 


Indeæ 9. 


0891438 


0901899 
0912277 
0922660 
0933020 
2943335 
095 3067 
0903955 
0974219 
0984400 
0994078 
1004872 
1015044 
1025192 


1035317 
1045420 


1055500 
1005557 
1075591 
1035004 
1093594 


9904167 
9994004 
990 3841 
9903077 
9903513 


1118420 
1123092 
1137742 
1147370 
1156977 


r 


9903348 
5953183 
9963018 
9962852 
9992585 


| Sine. | 


1105502 
1115508 
1125431 
1135333 
1145213 
1155072 
1104909 
1174724 
1184518 
1194291 
Co- tan. 


Co- tan. 


Index 10 


9015 540 
9ooõ 322 


8995128 
8984956 
8974808 
8304683 
8954580 
59 44.500 
5934443 
8924409 
5914390 


8394435 
8884492 
8874509 
8864067 


8844928 
883509 
8825270 
8815482 


Tang. 


8904406 


8854787] 


8805709 


Natural 
Sine. 


910856201218693 
90 9813111221581 
908772311224468 
90773401 1327555 
g065980j[1230241 
9056645 1233128 
9046333 01236015 
9036045 1238901 
902578101241788 


1244074 
1247560 
1250446 
1253332 
1256218 
1259104 
1261990 
1204875 
1267761 
1270046 
1273531 


1276416 


1279301 
1282186 
1285071 
1257950 
1290841 
1293725 
1290009 
1299494 
1302378 
1305 202 


| Nat. Co. 


Natural 


Cos ſine. 
— — 


9925462 


9925107]: 
9924751]; 


3924394 
9924036 


292367 


9923319 
9922959 
9922598 
9922236 
9921874 
9921511 
9921147 
9920782 
9920416 
9920049 
9919081 
9919313 
9915914 
9918574 
9918203 
99179314 
9911459 
99 17086 


9910712} 


9910337 
991501 
9915554 
9915200 
9914520 
991449 


Nat. Si. | 


| 


— 


— 


82 Degrees. 


—— 


— 


2222 1 ww 
ee e r ̃³Q ] 14 8888 


DD wo 


Tangents, and Natural Sines. 


61 


7 Degrees. 


ä _ 


0 
9 
8 
7 
6 
3 
4 
3 
2 
1 
0 
9 
8 
7 
6 
3 
7 
3 
2 
I 
2 
1 
| 


Sine. 


Index 9. 
1156977 
1166562 
1176125 
1185667 
1195188 
1204688 


1214167 
1223624 
1233061 
1242477 
1251872 
1261246 
1270600 


1279934 
1289247 
1298539 
1307812 
1317064 
1326297 
1335509 
1344702 
1353975 
1363028 
1372161 
1381275 
1390370 
13994415 
1408501 
1417537 
1420555 
1435553 
Co-ſine. 


3 


| 


Co- ſine, 


Index g. 
9962686 


99625 19 
9962352 
9962185 
9992017 
9901849 
9961681 
9961512 
9961343 
9961174 
9961004 
99608 34 
9960663 
9960492 
9960321 
9960149 
9959977 
9959504 
9959631 
9959458 
9959284 


9959111 
9958930 
9958761 
9958586 
9958411 
9958235 
9958059 
9957882 
9957705 
9957528 


Sine. 


Iudeæ g. 


125248618747514 


1213773|[87586227 
1223482[8770518 
8706829 


1262112|8737888 
1271718|3728282 
128130318718697 


130041350995 87 
8690003 


1347935 
1357260 
1366665 
1376051 
1385417 
I 394704 
1404092 
1413400 
1422089 
1431959 
1441210 
1450442 
1439955 
1468850 
1478025 
Co- tan. 


1308 146 


Natural 
Sine. 


1305262 


1311030 
1313913 
1316797 
1319681 
1322504 
1325447 
1328330 
1331213 
1334090 
1330979 
1339862 
1342744 
1345027 
1348509 
1351392 
1354274 
1357150 
1360038 
1362919 
1365 801 
1368683 
1371564 
1374445 
1322327 
1380208 
1383089 
1385970 
1388850 
13217231 


Natural 
Co- ſine. 


9912923 
9912539 
9912155 
9911770 
9911384 
9910997 
9910609 
9910221 
9909832 
9909442 
9909051 
9908659 
9908 266 
9907872 
9907478 
9907083 
9906687 
9900290 
9905892 
9995493 
9905094 
9504094 
9904293 
9903891 
9903488. 
9903084 
9902680 


11 


Nat. Co. 


So — SINE REL, FS 0 E 


Nat. Si. 


82 Degrees. 


LAS wer an —ͤ — a,  - 


62 


A Table of Artificial Sines, 


c — 


8 Degrees. 


E | | 
OO ww QS =O 


— p ww 


Index Qs 
1435553 


1444532 
1453493 
1402435 
1471358 
1480262 
1489148 
1498015 
1506864 
1515094 
1524507 
1533301 
1542076 
1550834 
1959574 
1568296 
1577000 
1585686 
1594354 
1003005 
1611639 
1020254 
1628853 
1637434 
1645998 
1054544 
106307 3 
1071580 
1680082 
1088559 
169702 


Co- ne. 


| 


Sine, Co- ſine. 


Index 9. 
9957528 


9957350 
9957172 
9950993 
9956815 
9959035 
9956456 
9956276 
9950095 
9955915 
9955734 
9955552 
9955370 
9955188 
995 5005 
9954822 


9954039 
9954453 
9954271 
9954087 
9953902 


9953717 
97533531 
9953345 
9953159 
6952972 
9952785 
9952597 
9952409 
9952221 
9952033 

dine. | 


— — 


Tang. Co- tan. 


Index 9. | Index 10. 


1478025|8521975 


1487182|8512818 
1496321]8503679 
150544113494559 
151454318485457 
1523627 8476373 
15 3269208467308 
1541739|8458261 
15 507698449231 
15 5978018440220 
1568873]18431227 
1577748|8422252 
1586706]8413294 
1595046|8404354 
1604569 8395431 


1613473]8380527 


1622360118377039 
163123108368769 
1640083835991) 
1648919835 1081 


165773718342203 


16665 38]8333402 
1675322083 24678 
1684089831591 
16928390 8307161 
170157218298428 
i7102894|8259711 
1718989828101 
1727072|8272328 
1730338|8263662 
17449880825 5012 


Co- tan. | Tang. 


Natural 
Sine. 


1391731 
1394612 
1397492 
1400372 
1403252 
1406132 
1409012 
1411892 
1414772 
1417651 


| 


1420531 


1423410 
1420289 
1429168 
1432047 
1434920 
1437805 
1440684 
1443502 


1440440] 


1449319 
1452197 
1455075 
145793 


14608 30 


1463708 
1460585 
1409403 
1472340 
1475217 
147809 
Nat. Co. 


30 
Nat. 51.1 M 


——— 0 — 12 


— 


81 Degrees. 


- - WA 


=_ 


Tangents, and Natural Sines. 63 


# 


8 Degrees. | | 


| 
Co- ſine. Tang. [Co- tan. Natural Natural 
Sine. [Co, ſine. 


Tadex 9. | Index 9. || Index g. Iadeæ 10. ; _ | 
[ 


* 
— — — 


N 


4 Sine. 


z0| 1697021] 9952033 1744988 [8255012 [1478094|9890158 30 
zi 1705465| 9951844 1753622 [8246378 [1480971[9889728| 29! 
32| 1713893] 995 16541762239 [8237761 [1483848|9859297|28 9 
330722305 9951404 | 1770846 [8229160 [1486724|9888865| 27! | g 
14] 1730699] 9951274 1779425 [8220575 [14896010988843226 1 
350739077 228184 2829938212007 1492477 2887299825 
6747439995893 179654681034541498353985756324 ö 
37 175578499507 18050828 194918 [1498230 9887128123 1 
3817541129950 1018 136028186398 1501106988692 22 | 
1911772425|99503181822106[8177894 [1503981 98802;5 21 
40017857 219280125 1830595 8169405 | | l506357|9835817]20 
411789001 [9949933 || 1839068 8160932 | 150973319885378| 9 
42[1797265|9949740|| 1847525 [8152475 [1512608|9884938|18 
43|1805512|9949546|1855966 [8144034 [1515484|9884498| 17 
44|1313744[9949352|1864392 [8135608 1518359988457 15 1 
45 1821960]9949158]]1872802[8127198 [1521234 9883615115 1 
4611830160|9948904 [1881196 [8118804 [1524109|9883172 14 il 
4711838344 99487691[1889575 [8110425 [1520984|9882728| 13 1 
4811846512] 9948573[189 79398 1020511529858 9882283 12 1 
4911854065 | 99483771] 1906287 [8093713 [15327330988 183811 l 
5011862802[9948181]]1914621 [8085379 [1535607|9881392| 10! 
5111870923] 9947985] 1922939|$077061 [1538482[95509.45 
52] 1879029] 99477881| 1931241 |Bo6875g [154135619880497 
30887 125994759 1193932980047 1154423088000 8 
54|1395195|9947 37311947802 [8052198 [1547104[9879;95 
5511903254[9947 495 | 1956059 [8043941 [1549978]9879145 
56] 1911299] 9946997 1964302 [8035698 | 1552851198756 97 
5711919328[9946798]|1972530|8027470 [155572519878245 
58]1927342[9946599]|1980742|8019257 [1558598]9877792 
59] 1935341 [9946 399||1988942|8011059 [1561472[98773,8 
6o[ 1943324 |[9946199||1997125|8002875 [1564345 |987683; 
_|Co-fine. | Sine. [Co-tan. | Tang. Neat. Co. Nat. 51. 1 
= 2 J 


mes 


— 7 


— 


o — 2 KW on\O 


81 Deprees. 


— — 


* 
— 


SIN. 002 & 


A Table of Artificial Sines, 


- —2 


oy K _——_— _—— — £4 ** 


9 Degrees. 


— 


O 


ſor > ws ta and 


11 


N 


Sine. 


Index Os 

1943324 
1951293 
1959247 
1967186 
1975110 
953019 
1990913 
1998793 
2006558 
2014509 


2022345 


2030167 
2037974 
2045767 
2053545 
2061309 
2069059 
2076795 
20845 16 
2092224 


. 


2107597 
2115263 


2122914 
2130552 
2138176 
2145787 


2153384 
2160967 


2168536 


2176092 


Co. fine. | 


Co-fine. 


Index 9. 
9946199 


9945999 
9945798 
9945597 
9945396 


9948194 


9944992 
9944789 
9944587 
9944383 
9944180 
9943975 
9943771 
9943566 
9943361 
9943156 


9942950 
9942743 
9942537 
9942330 
9942122 


9941914 
9941706 


9941498 


9941289 


9941079] 


9940370 
9940057 
9940449 
9940238 
9940027 
Sine 


4 *— 4 


| 


Tang. 


Index 9. 
1997125 
2005294 


2013449 
2021588 


2029714 


2037825 


2045922 


2054004 
2062072 


2070126 
2078165 
2086191 
2094203 
2102200 
2110184 


2118153 


2126109 
2134051 
2141980 
2149894 
#157795 
2165683 
2173550 
2181417 
2189264 


2197097 


7921335 


Co-tan. || Natural 


Sine. 


—- — —— — 


Iniex 10. 
8092875 


7994706 
7986551 
7978411 
7975286 
7962175 
7954078 
7945996 
7937928 
7929874 


1564345 
1567218 
1570091 
1572963 
1375836 
1578708 
1581581 
1584453 
1587325 
1590197 
1593909 
1595940 


7913809 
7905797598812 
789 800/1601683 
7889816160355 5 


7869491613167 
1 
785010616189 09 
422 
7854371624650 
7826444 1627520 
7818583 [1630390 
78107360163 3260 
2802903 1636129 


7881847 1607428 986 
787389 11610297 


[OY 


Natural 
Co- line, 


— —äͤ6b 


3874138 
9873677 
9873216 
9872754 
9872291 
9871827 
9871362 


9866196 
9805721 
9865246 


2204917 
2212724 
2220518 
2228298 
22360653 
Co-tan. 


7795083 1638999 
7787276641868 
7779482 1644738 
7771702164700 
7763935150470 


Tang. Tat Jat. Co. 


9864770 
9864293 
9853815 


9863330 


61985285 6] 
Nat. 


di. 


80 Degrees. 


Ti angents, and Natural Si nes. 


9 Degrees. 


—_ 


Sine. 


- me — — 


Index 9. 

2176092 
2183635 
2191164 
2198680 
2206182 
2213671 
2221147 
2228609 
2236059 
2243495 
2250918 
2258328 
2265725 
2273110 
2280481 
2287839 
2295185 
2302518 
2309838 
2317145 
2324440 
2331722 
2338992 
2340249 


2353494 
2360726 


mY 
ad 


Co-fine. 


Tnqex 9. 
9940027 


9939915 
9939503 
9939391 
9939178 
9933955 
9938752 
9938538 
9938324 
9938109 
9937394 


9937079 
9937403 
9937247 
9937030 
9936813 
9936525 
9936378 

99 36160 
9935942 
9935723 
9935504 
9935285 
9935065 
9934844 
9934024 


2367940 
2375153 
2362349 
2389532 
2396702 
Co- ine. 


DO — 


9934403 
9934181 
9933959, 


Sine. 


9933737 
9933515; 


— — 


Tang. 


8 


2236065 


2243819 
2251561 
2259289 
2267004 
2274706 


2282395 
2290071 
2297735 
2305386 
2313024 
2320050 
2328202 
2335863 
2343451 


2351026 


2358589 
2366139 
2373078 
2381203 
2388717 
2390218 
2403708 
241185 
2418650 
2426103 


2433543 
2140972 
2448389 


24535794175 


[Co- tan. 


Co- tan . 


7703935 
77 7756181 
7748439 
77 40711 
7732996 
7725294 
771 7717605 
7709929 
7702265 
7094614 
7686976 
7979350 
7671738 
7664137 
7650549 
7648974 
7041411 
7633861 
7626322 
7618797 
7611283 


Index 10. 


Natural 
Sine. 


1630476 
1953345 
656214 
1659082 
1661951 
1664819 
1607687 
1670555 


1973423 
1676291 


1679159 


Natural 


Co- ſine. 


9862856 
9862375 
9861894 
9861412 
9860929 
9860445 
9859960 
9859474 
9858988 
9858501 
9858013 


1682026 
1684894 
1687761 
1690628 
1093495 
1096302 
1699228 
1702095 
1704961 
1707828 


7603782 
7898792 
7588815 
7581350 
7573897 
7500457 
7559028 
7551011 
44200 
7536812 


1710694 
1713560 
17106425 
1719291 


1722156 


1725022 
1727887 
1730752 
1732617 
1730482 


1 
Fans. 


2 — 


Tat. Co. 


9857524 
9857034 
9856544 
9856053 
9855501 
9855068 
9854574 
9854079 
9853583 
9253087 
9852590 
9852092 
9851593 
9851093 
9250592 
9850091 
9849589 
9849086 
9848582 
9848077 
Nat. Sj? SI: 


E 


aw CO 


or 


46 — 5 


——— 


80 Degrees. 


. 


| 


— 


— 


K 


66 


A Table of Artificial Sines, 


10 Degrees. 


= 


ae (0) -lo 


Il 
N 


Sine. 
Index q. 


2403861 
2411007 
2418141 
2425264 
2432374 


2396702 


Co: ſine. 


Index 9. 
9933515 


9933292 
9933068 
9932845 
9932621 
9932296 


2439472993217 
24465 589931945 
2453632099317 20 
2460695993 1494 


2474784993 1041 
248181109930814 
2488827 9930587 
2495 8309930359 


2502822|9930131 


2509803[9929902 
2516772|9929673 
2523729|9929444 
25 306759929214 


25 376099928984 


25445 329928753 


2467746993 1 268 


2551444|99285 22 
2558344|9928291 


2505233 


9928059 


257211019927827 


2578977 
2585832 


2592676 


9927595 
9927362 
9927129 


2599509992689 5 


Co- nine. 


26063 309926661 


Sine. 


Tang. 


[ndex 9. 
2463188 


2472509 
2477939 
2485297 
2492643 
2499978 
2507301 
2514612 
2521912 
2529200 
2530477 
2543742 


2550997 
2558240 


2565472 


2672692 
2579901 
2587099 
2594285 
2601461 
2608625 


2615779 
2622921 


2630053 
2637173 
2644283 
265 1382 
2658470 
2665 547 
2672613 
2679699 


Co- tan, 


Co-tan, 


[ndex 10. 
7536812 
7529431 
7522061 
7514703 
1507357 


7500022 


Natural 
Sine. 


1742211 
1745075 


1736482 
1739346984757 


7492699]|175 3667 
7485388[1756531 
7478088759395 
[1702258 


7403523] 1705121 


Natural 
Co-ſine, 


9848077 


9847065 
9846558 


1747939 9346050 
1750803 


9845541 
9845031 
9844521 
9844010 
9843498 
9842985 


7456257] 1767984984247! 


9841956 


74417607737 10984440 


1776573 
— 2238272. 
7420099 11782298 
7412901 
740571501788022 


9840924 
9840407 
9839889 


1785 1609839370 


9838850 


7398539 17908849838329 


73913751 729374 


7384221 || 1796607 


| 


1377079 
7 309947 
7302827 


7355777 


7348018 
7341530 
7334453 
7327387 


7320331 


1802330 
1805 191 
1808052 


1810913 


9837808 
983728 


1799469 9836763 


9836239 
9835714 


9834003 


18 137749834136 


1816633 
1819495 


1822355 9832549 N 


Tang. Nat. Co. 


9833608 
9833079 


9835189135 


79 Degrees. 


| Nat. Si. 


— > — — — 
— — — > ——ͤ— —— — 


Tangents, and Natural Sines. 


»„— 


10 Degrees. 


| 
bh . | Co-tan. Natural | Natural 


Sine. | Co-fine, 


Sine. 


—— er mms 


Index 9+ 
3026063 309925 61 


11[2613141[9920427 
32 2019941 9926192 
33] 262072919925957 
341263350719925722 
35|2640274 [99254806 
2047030[9925250 
37|265377519925913 


Index 10. 
2679669|7320331]1822355|9832549130 
2686714|7313286||1825215|9832018|29 
2693749730625 101828075 [983148728 
2700727299228 18 3093583095527 
270778672 9221401833795 [9830422126 
27147887285212018365549829888025 
2721780|7278220|1839513|9829353|24 
2728762|7271238]1842373|[9328817|23 


18. K OY 7 i 
«| 
on 


O — 2 ww = 


co\s | 


F] 
1 


2660509 
2667232 
2673945 
2680047 
2687338 
2694019 
2700689 
2707348 
2713997 
2720635 
2727263 
2733880 


2740487 902 


2747083 
2753669 
2760245 
2766811 


5512773366 


2779911 
2780445 
2792970 
2799484 
2805988 


Co- ſine. 


9924301 


2735733 
2742094 
2749044 
2756584 
2703514 
2770434 
2777343 


512784242 


9920445 
9920201 
9919956 
9919711 
9919466 


Sine, 


*791130 
2798009 
2804878 
2811736 
2818585 
2825423 
2832251 
2839069 
2845878 
285 2677 
28594006 
2860245 
2873014 
2879773 
2886523 


Co- tan. 


7264267 
7257300 
7250356 
7243416 
7236486 
7229556 
7222657 
7215758 
7208869 
7201991 
7195122 
7188264 
7181415 
7174577 
7167749 
7160930 
7154122 
7147323 
7145534 
7133755 
7126986 
7120227 


7113477 


Tang. 


| 


1845 23209828281 
184809109827744 


1850949 9827206 


185 38039826667 
1856666]9820127 


1859524|[9325587 
1862382|19825046 


1865 24009824504 


1868098 9823961 
8709569823417 
1873813|9822872 
1876670[95822327 
18795279821781 
1 8823849821234 
1885 24109828686 
1888098|9820137 
1890954|9819587 
1893811|9819036 
1896667 | 95185485 
189952319817933 
1902379|9817 380 
1905234|19816826 
190809098 16271 


Nat. Co. Nat. 81. 


79 Degrees. 


IZlo -e 


SN 


K 2 


| 
, 
| 
| 


2 ©. — 
pr pat — 


1 


- 
—— —— 


63 


A Table of Artificial Sines, 


11 Degrees. 


00 80 a * 1.0 


10 


Sine. 


Index g. 


2805988 


2812483 
2818967 
2825441 
2831905 
2838359 
2844803 
2851237 


2857661 


2864076 
2870480 
2876875 
2883260 
2889636 
2896001 
2902357 
2908704 
2915040 
2921367 
2927685 
2933993 
2940291 


294655 80 


2952859 
2959129 
2965390 
2971041 
2977883 
2984116 
2990339 
2990553 
Co- ine. 


* 


Co-ſine. 


Index . 
9919400 


9918974 


9918480 
9918233 


9917986 
9917737 
9917489 
9917240 
9916991 
9910741 
9910492 
9916241 
9915990 
9915739 
9915485 
3915236 
9914984 
9914731 
9914478 


9919220 
9918727 


Tang. 


Index g. 
28865 23 


2893203 


2899933 
290071 3 
2913424 
2920126 
2920817 
2933500 
2940172 
2946836 
2953489 
29601 34 
2966769 
2973395 
2980011 
2986618 


Co-tan. | Natural 


Index 10. 
7113477 


7100737 
7100007 
7093287 
7080570 
1979974 
7073183 
70060500 
7059828 
7053164 
7040511 
7039306 
7033231 
7020605 
7019989 
7013382 


2993215 
2999504 
3006383 
3012954 
3919514 


9914225 
9913971 
9913717 
9913492 
9913207 
9912952 


9912184 
9911927 


Sine. 


3026060 


(3032009 
3039143 
3045667 
22183 
305 8689 


9912095 || 3005187 
9912440] 307 1675 


3078155 
3084626 


Cos tan * 


7006784 
7000196 
6993617 
6987046 
5980486 
0973934 
0997391 
6960857 
5954333 
0947817 
0441311 
0934813 
0928325 


6921845 


6915374 


Tang. 


| 


Sine. 


* 


1908090 
1910945 
1913800 
191665 5 
1919510 


1922365 


1925220 
1923074 
1930928 
1933782 
1936636 
1939490 
1942344 
1945197 
1945050 
1950993 
1953750 
1956609 
1959461 
1902314 
1995166 
1968018 
1970870 
1973722 
1970573 
£9 7.9455 
1952270 
1985127 
1987978 
1999929 
1993079 


Co- ſine. 


Tat. Co. 


11 — 


Natural 


— 


9816271169 
98157 i6;59 
9815160058 
9814603 57 
981404556 
9813485 55 
9812920/5% 
9812366{5; 
931180; 52 
9811243151 
9810580} 50 
981011649 
9529351148 
980898647 
980842046 
9507853145 
9807285 

9806716 4 
980614642 
9805576041 
9805005[40 
9804433039 
9803800|38 
9803286 37 
980271113 
9802136035 
980156034 
980095333 
980040532 
979982⁰ 31 
979924713* 
Nat. di. | M 


1 


. . eee > + 


ng =. 


2 > — — — 
— — : — 


78 Degrees. 


— 


r » „ „ 2 1 . x TO 


—_— * ———— e 1 _— on Erie os. e Moana. „ th | 


Tangents, and Natural Sines. 


11 Degrees. 


Sine. 


Index 9. 


2990553 


3002758 
3008953 
3015140 
3021317 


3027485 


3033644 
3039794 
3045934 
305 2066 
3058189 


3004303 
3070407 
3079503 
3082590 
3088668 


3094737 
3100798 
3109849 
3112892 
2118926 
ihe - + þ 
3130968 
3136976 


5413142975 
5513148965 
5013154947 


3160921 


3166885 


3172841 
3178789 


Co-ſiue. 


2211927 
9911670 
9911412 
9911154 
9910896 
9910037 
9910378 
9910119 
9909859 
9909598 
9999338 
9909977 
9908815 
9908553 
9908291 
9908029 
9907 700 
9907 502 
9997239 
990097 4 
9900710 
9906445 
9906180 
9905914 
9905648 
9993382 
9995115 


| 


Co- Ane. Tang. 


Index 9. Index q 


9924848; 


3084026 
3091088 
3097 541 
3103985 
3110421 
3116843 
3123266 
3129675 
3130070 
3142468 
3145551 
3155226 
3161592 
3107950 
3174299 
3130h40 
3180972 
3193295 
3199611 
3205918 
3212216 
3218506 
3224788 
3231061 
3237327 
3243584 
3249832 
3259973 


9904580, 
9984312 
9904044 


| Sine. 


3202305 
32685 29 
3274745 


Co-tan. | 


„ 


Co tan. Natural 


[Index 10. 
6915374 
6908912 
9902459 
6896015 
6589579 


Sine. 


1993679 
1990530 
1999390 
2002230 
2005080 


6883152 


2007930 


6876734 2010779 
6870325 [2013629 


6863924 
0557532 
2 
0844774 
6838408 
6832050 
6825701 
6819360 
6813028 
6806705 
6800389 
6794082 


2 


0781494 
6775212 
6768939 
6762074 
6756416 
6750168 
6743927 
0737095 
5731471 
0725255 


2010478 
2019327 
2022176 
2025024 
2027873 
2030721 
2033569 
2030417 
2039265 
2042113 
2044961 
2047808 
200055 
20523502 
2050349 


2004888 
20077 34 
20705850 
2073426 
2070271 
2079117 


Tang. 


Nat. Co. 


* . 


59785689 


222242 
9798607 
9798086 
9797594 
9790921 
9796337 
9795752 
9795107 
9794581 
9793994 
9793406 


9792817 
9792228 
9791638 
9791047 
2799455 
9789862 
9789268 
9788674 
9788079 
9787483 
97580830 
9780288 


755050 
9754499 
9783889 
9783287 
9782684 
9782080 


9781476 


10 


Nat. 81. 


Slo- > we eee 


78 Degrees. 


70 


A Table of Artificial Sines, 


12 Degrees. 


S 


ane ales wile 


10 


Sine. 


Index 9. 

3178789 
3184728 
3190059 
3196581 
3202495 
3208400 
321427 
3220186 
3226066 


3231938 


3237802 


3243657 
3249505 
3255344 
3261174 
3266997 
3272811 
3278647 
3284416 
3290206 
3295985 
3301701 
3307527 
3313285 
3319035 


3324777 


3339511 
3330237 
3341955 
3347665 
3353308 
Co- une. 


Index . 
2924014 
9903775 
99035006 
990323” 
9902967 
9992097 
9902420 
9902155 
9901883 
9901612 
9901339 
9901067 
9990794 
990052 
9900247 


959997 3 


9899698 
9899423 
9899148 
9893873 
9898597 
9898320 
989804 1 
9897766 
9897489 
9897211 
9899932 
9890654 
9890374 
9896095 


9895815 


dine. 


Co-ſine. Tan g. 


| Index g. 


3274745 


3209953 
3287153 
3293345 
3299528 
3395704 
3311872 
3318031 
3324183 


3330327| 


3336463 
3342591 
3348711 
3354823 
3360927 
3367024 
3373113 
3379194 
3385 267 
3391333 
3397391 


3493441 
3499 484 
3415519 
3421546 
3427505 
34335758 
3439583 
3445580 
3451570 


345755216 
Nat. Co. 


Co-tan. 


Co-tan. 


Index 10. 
0725255 
6719047 
0712847 
6706655 
6700472 
0594290 
6688128 
668 1969 
6075816 
665967 3 
6603537 
6657409 
665 1289 
6045177 
6639073 
6632976 
6626887 
6620806 
6614733 
6608667 
6602609 


Natural 
Sine. 


2079117 
208 1962 
2084807 


208765 2 
2090497 
209334! 
2090186 
2099030 
2101874 
2104718 


| 


2107501 
2110405 
2113248 
2116091 
2118934 
2121777 
2124619 
2127402 
2130394 
2133146 
2135988 
2138829 
2141671 
2144512 


112147353 


2150194 
2153035 
2155870 
2158710 
2161556 
2164396 


Mat! 
Co-fine, 


9781476 
780871 |- 
97802650 
9779658 
97790501; 
9778441) 
9777832 
9777222]; 
9770611 
9775999 
9775386 
9774773 
9774159 
9773544 
9772928 
9772311 
977 1693 
9771074 
9770456 
9769836 
9709215 
9708593 
9707970 
9707347 
9766723 
9766093 
9795472 
9764845 
9704217 
9763889 
9762900 
Nat. Si. 


77 Degrees. 


Tangents, and Natural Sines. 


12 Degrees. 


„ „ ee 1 * _ =_— ek 


yg. =] © ens DF wo agen / WY mw" T 


Sine. 


Index 9. 
3353308 


3359062 
3304749 
3370428 


3376099 
3381762 


363387418 


3393063 
3398706 
3404338 
3209963 
3415550 
3421190 
3426792 
3432380 


4513437973 


3443552 
713449124 
3454688 
3400245 
3405794 


3471330; 
3476870 
3482397 
5413487917 
5513493429 


3498934 
3594432 
3509922 


13515405 


3520880 


[Co-ſine. 


4 — — —— 


Index g. 
92898815 
9895535 
9895254 
9894973 
9894692 
9894410 
9894128 
9893345 
9893502 
9893279 
9892995 
9892711 
2892427 
9892142 
9891856 
9891571 
9891285 
9898998 
9890711 
9890424 
9899137 
9889849 
9889560 
9889271 
9888982 
9888693 
9888403 
9888113 
9887822 
9887531 
9887239 


s 4 


Tang. 


Tadex 9. 
3457552 
3463527 
3409494 
3475455 
3481407, 
3487352 
3493290 
3499220 


— 


3595143 
3311059 


3516968 [6 


3532869 
3528703 
3534650 
35405 30 


3552267 


3563977 
3569821 


3581487 
3587310 


3598935 
3004730 
3010531 
3616319 
3622100 


(3033941 


3546402 


3558126 
3575658 


3593126 


3627874 


Co-une. | 


Sine. 


Co- tan. 


Co- tan. 


Index 10. 
0542448 
0530473 
6530506 
0524540 


6518593 
6512648 


6500780 
6494857 
6488941 
0433032 
6477131 
6471237 
6465350] 
6459470 
6453598] 


0447733 
6441874 
6436023 
6430179 
6424342 
6418513 
6412690 
6406874 
6401065 


[£5067 10] 


Natural 
Sine. 


2164396 
2167236 
2170076 
2172915 
2175754 
2178593 


[2181432 


2184271 
2187110 
2189948 


[2192786 


| 2195624 
2198462 
2201300 
2204137 
2206974 


5 ͤ-ͤ·u· ⁰˙wà nm ̃ = K I eee 


6399254 


6389469 


6383681. 


6377990 
0372126 


6366359 


2209811 
2212648 
2215485 
2218321 
2221158 


2223994 
2226830 
2229606 
2232501 
2224117 
2238172 
2241007 
2243841 
2246676 
2249511 


Tang. 


Nat. Co. 


Natural 
Co- ſine. 


—— Ce * 


9762960 


9762330 
9761699 
9761067 
9760435 
97598022 


9759168 
9758533 
9757897 
9757200 
9750623 
9755985 
9755340 
9754706 
97 54065 
9753423 
9752781 
9752138 
9751494 
9750849 
9750203 
9749550 
9748909], 
9748261 
9747612 
9746962 


9746311 
97456600 
9745008 
9744355 
9743701 


Nat. Si. 


77 Degrees. 


FEY 


T4 


5 8 tt 


— 


iT SU. 7 te # ga _—_— 


72 


A Table of Artificial Sines, 


13 Degrees. 


O 

1 

2 

3 

4|3542710 
< 

6 

7 

8 


Sine, 


Index q. 
3520880 


3526349 
3531810 
3537204 


3548150 
3553552 
3559008 
3564426 
3569835 
3575240 
3580637 
3586027 
3591409 
3590785 
3002154 
3607515 
3612870 


3034219 
3639539 
3944852 
3650158 
3055458 
3660750 
3656036 
3671315 
3676587 
368185 3 


IM: 


Index g. 
9887239 
9886947 
9886655 
9886363 
9886070 
9885776 
9885482 
9885138 
9884894 
9584599 
9884303 
9884008 
9883712 
9833415 
9883118 
9882821 
9882523, 
9882225 
9881927 
9881628 
9881329 
9881029 
9880729 
9880429 
9380128 
9879827 
9879525 


Co-fine. 


Tang. 


lndex 9. 
3633041 


3039401 
3645155 
3650901 
3656641 
3062374 
3008100 
3673819 
3079532 
3685238 
36909 37 
3696629 
3702315 
3797994 
3713667 
3719333 
3724992 
3730645 
3736291 
3741930 
3753190 
3758810 
3704423 
37 70030 


(3775631 


3781225 
3786813 
3792394 
3797969 
3803537 


"I 


Co-tan. 


Co-tan. 


— — 


Index 10. 
0366359 
6360599 


6354845 
0349999 
0343359 
6337626 
0331900 
6326181 
6320468 
0314762 
0309063 


0303371 


6297685 
6292006 
6286333 
6280667 
6275008; 
0209355 


| 


6263709 
6258070! 
6252437, 
0240810 

6241190 

5235577 
6229970 

6224352 
0218775 
0213187 
6207606 
6202031 


61909463 


Natural 


Sine. 
—— ͤ (2 ——_— 


2249511 
225 2345 
2255179 
225 8013 
2260846 
2263680 
22665 13 
2269340 
2272179 
2275012 
2277844 
2280077 
228350 

* 
2289172 
2292004 
2294835 
2297666 
2300497 
2303328 
2300959 
2308989 
2311819 
2314649 
2317479 
2120309 
2323138 
2325967 
2328796 
2331625 
2334454 


| 


9743701 
9743046 
9742390 
9741734 
9741077 
2749419 
97 39760 
97 39100 
9738439 
9737778 


Oos ſine. 


— — — 


9727084 
9720409 
9725733 
9725050 
9724378 
9723699 


— —ůů 


lang. | 


Nat. Co. | 


— 


Natural | 


9737116[5o 
97 30453149 
9735789148 
9735124047 
973445846 
973379245 


9733125144 
973245743 
9731788042 
9731118041 
25449040 
9729777139 
97 29105|38 
9728432137 


WW wr wy 
— 2 wa 


Nat. 81. 


76 Degrees. 


Tangents, and Natural Sines; 


13 Degrees. 


3713304 
3718523 
3723735 
3728940 
3734139 


3739331 
3744517 
3749696 
3754868 
3700034 
3705194 
3770347 
3775493 
3780633 
3785707 
5113799394 
5213796015 
5313801129 
5413800237 
5513811339 
3810434 
53713821523 
5803826605 
3831682 
3836752 
Co-ſine. 


Co-; ſine. 


Index 9. 

9878315 
9878012 
9877708 
9877404 
9877099 
9870794 
9876488 
9876183 
9875876 
9875570 
9875203 
9874955 
9874648 
9874339 
9874031 
997.3723 
987 3413 
987 3103 
9872793 
9872482 
9872171 
9871860 
9871549 
9871236 
9870924 
9870611 


9870298 


2907711 6032289 


Tang. Co: tan. 


| 


Inaex q. Index 10. 


3803537119046 3 
3809 1006190900 
8146555185345 
3820205[6179795 
3825748[6174252 
3831285|6168715 
38 368 1616163184 
3842340|6157660 
3847858[0152142 
3853370[0146630 
3858876[6141124 


386437610135624 


3869869[6130131 
3875356[0124644 
3880837]6119163 
3886312[6113688 


3891781|6108219 
3897244102750 
39027006097 300 
390815 106091849 
3913595|0080405 
3919034|6080960 
392446660755 34 
2929893|0070107 
3935 31310004087 
39497 270259273 
39461360605 3804 
39515 38]0048402 
3956935|9043065 
3902 320[0037074 


Co-tan. Lang. 


Natural 
Sine. 


2334454 
2337282 
2340110 
2342938 
2345766 
2345594 
2351421 


2354248 


2337071 
2359902 
2362729 
2395555 
2368381 
2371207 
2374033 
2370859 
2379084 
2382510 
2385335 
2388159 
2390984 
2393808 
2390033 
2399457 
2402280 


2405 104 


24079270 


2410751 
2413574 
2416396 
2419219 


— — ſ— — — 


Nat. Co. 


Natural 
Co- ſine. 


9723599 
9723019 
9722339 
9721658 


9720293 
97 19609 
9718925 
9718240 
9717554 
9716867 
97160179 
9715491 
9714802 
9714112 
9713421 
9712729 
9712036 
9711343 
97 10649 
9729954 
9709258 
9708561 
9707863 
9707165 
9709400 
705700 
9795095 
3794303 
9703660 


9720976]: 


Nat. Si. 


10 


9702957 


|=! © — 922 0 o 


7 6 Degrees. 


L 


A Table of Artificial Sines, 


14 Degrees. 


IO 


\O 00 — 2 


Co- ſine. 


3892111 
3897 106985 
3902096 
3907079 
3912057 


391702849803952 


3921993 
3926952 
3931905 
3930852 
3941794 
3940729 
3951658 
3950581 
3961499 
3966410 
3971315 
3976215]c 


3981109]9359742 


398 72996198 6114126581 


Co- {1 ne. a 


Index 9. 


Tang. 


Index q. 


2997712 
397 3089 
397 8403 
3983830 
3989191 
3994547 
3999896 
4005 240 
4010578 
4015910 
4021237 
4020558 
4031873 
4037182 
4042486 
4047784 
405 3076 
4058363 
4063644 
4068919 
4074189 
4079453 
4084712 
4089965 
4995212 


114100454 


4105090 
4110921 
4116146 
4121306 


Co-tan - 


Co- tan. 


Index 10. 
6032289 
6026911 
6021537 
60i6170 
6010809 
6005453 
6000104 


5994760 
5959422 
5984090 
5978703 
5973442 
59608127 
5962818 


$957514 
5952215 
5946924 
5941637 
5936356 
5931081 
5925811 
5920547 
5915288 
5910035 


5904788 
5899540 


5894310 
5889079 
5883854 
5878634 
5873419 
Lang. 


| 


Natural 
Sine. 


Natural 
Co-fine, 


241921919702957 
242 20419702253 
2424839701548 
2427685 [9700842 


24 3050719700135156 


2433329]19699428 
2430150|9698720 
2438971]9698011 
244179219697 301 
244461 3|9696590 
244743319095879 
2450254|9095 167 
245 30749094454 
2455894|9093740 
2458713]9093025 


246153309692 zog a; 


240433219091592 
9690875 
2469990969015) 
2472809 9689438 
2 2589252 
2478445987998 
248 12639687277 
2484081968655 
2486899 9685832 


24897 160968510803; 
908438303 


2492535 
2495350[9083057 
2498167968293 
2 5009849682204 
2503800968 1470 
Nat. Co. 


— 


75 Degrees. 


— 


Tangents, and Natural Sines. 75 


14 Degrees. 


ts. Ah. tt. 


Sine, |Co-fine, || Tang. |Co-tan. | Natural FIR 
; Sine. |Co-ſine. 


Index 9. | Index 9. ||{ndex 9g. | Index 10. 
$0|3985996[9859416 [4120581158734191| 25038001958 1476] 30 
31 3990878 9859089 4131789 586821102506616 968074729 
3203995754985 8762 4136993586300 2509432 chf 828 
331405 9858434½414 2191585780925 12248 967928827 
34.005489 9858104147383 585261725 15063 967855726 
3051348028 22T[ W282 2282825 
5504015 20109857449 1577 525842248025 2009490 
37 40 200489857119 40292805837 0% [2523508 967635823 
380 402488998567 90 [4158099583 19012526323 9675623022 
3914929724|9856460|[4173265|5826735]|2529137[9674888[21 
4014934554|9856129114178425 [5821575}12531952 [9074152120 
4114939378[98z57981[4153580[5816420]|2534766[9073415 
42|494419619*5 5467 [4138729]5811271]125 3757919672077 
4314949009 [9855135 14193874|5806126][2540393[9071938 
44|4053816]985 4803 [41990135 800987 [2543206967 1199 
451405861719854471[4224146 [570585411 2545019967495 
46]4003413]9854138[4209275157907251|2548832 [9069718 
44068203985 3805 ||4214398|5785002][2;51645 [9668976 
48|4<72987198534711[4219515}5 780485} 2554458]96008233 
49|4977766[9853138114224028|57753721[255727019667490 
50|4982539|9852803]14229735[5770265||250008219666746 
51]4087306|9852468]|4234838|5765162]| 2502894 [9560001 
5214092068|9852133114239935|5760065 || 2505705 [9055255 
53[4996824 [98517981 4245026[5754974250851719604508 
54|4101575|9851462||4250113]5749887}2571328[9603760 
55|4106320[9851125]|425519415744806[[2574139 9963012 
56]4111059|9850789||4260271]5739729 2570950[9062263 
5714115793|98504521[4205342[57346581}257976019961513 
58[4120522|9$50114||4270408|5729592|j2582570 9660762 
5904125245 98497764275469 5724532258538 19660010 
— 5228288244 8 212488879 9882285 
Co-fine. | Sine. [Co- tan. I Tang. Nat. Co. | Nat, Si. 


—— — — Mw... - nm [ RM 


TRE, | > ate. „ 7 


75 Degrees. 


— — * 
. "=" . * 7 * . ">" a id » . wk i. 


L 


A Table of Artificial Sines, 


2 


15 Degrees. 


O Ow N dd a 


O 


O ow . 


Sine. 


Index g. 
4129962 
4134674 
1139381 
4144082 
4148778 
24 
4158152 
4162832 
4167506 
1172174 
4176837 
4181495 
4186148 
1190795 
4195430 
420007 3 
4204704 
4209330 
4213950 
4218566 
4223176 
4227780 
4232280 
4230974 
4241503 
4240147 
4250720 
4255299 
4259807 
1264430 
4208988 


Co-ine. 


— 


[Co- ſine. Tang. 


Index 9. 
9849438 
9849099 
9848760 
98484.20 
9848081 
9847740 
9847 400 
9847059 
9846717 
9840375 
9846033 
9845090 
9845347 
9845004 
9844660 
9844316 
9843971 
984.3626 
984.3281 
9842935 
9842589 
9842242 
9841895 
9841548 
9841200 
9840852 


9840503 
9840154 
9839805 
9839455 
9839105 


Index g. 


Sine. | 


4280525 
4285575 
4290021 
4295661 
4300697 
4305727 
4310753 
4315773 
4320789 
4325799 
4330804 
4335805 
4340800 
14345791 
4350770 
4355757 


4300733 
4305704 
4370670 
4375031 
4380587 
4385538 
4390485 
4395420 
4400363 
4495295 
4410222 
4415145 
4420062 
4424975 
4429883 


— 


Co-tan, 


Index 10. 
5719475 
5714425 
5709379 
5704339 
5699303 
5094273 
5689247 
5684227 
5679211 
5674201 
5669196 
5664195 
5659200 
5654209 
5049224 
504424 3 
5639267 
5634296 
5029330 
5624369 
5619413 


— — 


5614462 
5609515 
5604574 


5599637 
5594705 


5589778 
5584855 
5579938 
5575025 
5570117 


Co-tan. | 


Tang. 


Natural 
Sine. 


2588190 
2591000 
2593810 
2596619 
2599428 
2602237 
2605045 
2607853 
2610661 
2613469 
2616277 
261908 5 
2621892 
2624699 
2627506 
2630312 
2633118 
2635924 
2638730 
2641536 
2044342 


2047147 
2649952 


2652757 
2655561 


265 8365 
2661169 


2663973 
2666777 


2669581 
2672384 
Nat. Co. 


9650165 
9649402 
9648638 
9047873 
9947107 
9646341 
9645574 
9644806 
9944037 
9643267 
9642497 
9641726 
9949954 
9640181 
9939407 
9038633 
9637858 
9037082 
9030305 


9650927. 


Nat. Si. M 


* 
* 8 1 FT 


e 


74 Degrees. 


— 


—— —— ꝑ ——— 


Tangents, and Natural Sines. 


Sine. 


Index 9. 


4268988 


4273541 
4278089 


3 428 263 I 


4287169 
4291701 


2614296228 
714390750 


4305267 
4309779 


4314286 


4318788 
1323285 
4327777 
332264 
4336746 


4341223 


4345694 


4350161 
4354623 
4359080 


5114303532 


4367980 


5314372422 
4376859 


4381292 
4355719 


5714390142 
5314394560 
591439897 3 


4403381 


Co- ſine. 


Co- ſine. 


Tang. 


Index g. || Inde 9. 


9839195 
9838755 
9838404 
9838052 
9837701 
9837348 


9836995 
9836643 
9836290 
9835936 
9335582 
9835227 
9834872 
9834517 
9834161 
9833805 
9833449 
9833092 
9832735 
9832377 
9832019 
9831661 
9831302 
9830942 
9830583 
9830223 
9829862 
9829501 
9829140 
9828779 


9828416 
ö 


Sine. 


| 


4429883 
4434780 
4439685 
4444579 
4449408 


4454352 
4459232 
4464107 
4468978 
4473843 
4478704 
4483501 
4488413 
4493260 
4498102 
4592940 
4507774 
45 12602 
4517427 
4522240 
4527061 
4531872 
45 30078 
4541479 
4546270 


4551059 


4555857 
456004 1 
45605420 
4570194 
4574904 


15 Degrees. 


Co- tau. 


Co- tan. 


Index 10. 
5570117 
5505214 
5560315 
$555421 
5550532 
5545048 
5540708 
5535893 
5531022 
5526157 
5521296 
5516439 
5511587 
5506740 


5501898 
5497000 


5492226 
5457398 
5482573 
5477754 


5472939 


5408128 
5403322 
5458521 
5453724 


5445931 


5444143 
5439359 
5434580 
5429806 
5425030 
Tang. 


Natural | 
Sine. 


1 


2672384 


2675187 


2677989 
2680792 


2683 

2685306 
2689198 
2692000 
2694801 
2697602 
2700403 
2703204 
2706004 
2708805 
2711605 
2714404 
2717204 
2720003 
2722802 
2725001, 
2728400 


2731198 
2733996 
2736794 
2739592 
2742390 
2745187 
2747984 
2750781 
2753578 
2756374 


Natural | 


Co- fine. 


902770 

0626919 
9626130 
9625342 
9024553 
9023763 
9622972 
9622180 
9621387 
9620594 
9619800 
9619005 
9618 209 
9617413 
9616616 
9615818 
9615019 
9614219 
9613418 
9612617 


Nat. Co. 


Nat. Si. 


10 


74 Degrees. 


ww 


Slo -s n ow oo 


— — 
9 : ».124  ewh 
- . 


— 


A Table of Artificial Sines, 


16 Degrees. 


=. 


E ps 
OO HW Gin + ww =o 


11 


8888863885 


t 8 
8 w 


12 


— 


Sine. 


Index . 
4403381 
4407754 
4412182 
4416576 
4420965 
4425349 
4429728 
4434103 
4438472 
4442837 
4447197 
4451553 
4455904 
4460250 


[4404591 


4468927 
4473259 
4477580 
4481909 
4480227 


4499540 


4494849 


14499133 


4503452 
4597747 


4312037 


4510322 
45 20003 
4524579 
4529851 
4533485 
Co- ſine. 


Co- ſine. 


Index 9. 
9828416 
9828054 
9827691 
9827328 
9826964 
9826600 
9826236 
9825871 
9825506 
9825 140 
9824774 
9824408 
9824041 
9823074 
9823306 
9822938 
9822569 
9822201 
9821831 
9821462 
9821092 
9820721 
9820351 
9819979 
9819608 
9819230 
9318863 
9818498 
9818117 
9817744 


9817370 


Sine. 


| 


Tang. 


Index g. 

4574904 
4579739 
4584491 
4589248 
4594001 
4598749 
4003492 
4008232 
4612967 
4617697 
4622423 
4627145 
4631863 
4636576 
4641285 
4645990 
4650690 
4655386 
4660078 
4664765 


4669448 


4074127 
4678802 
4083473 
4688139 
4692801 
4937459 
4702112 
4706762 
4711407 


4716048 


Co-tan. 


Co-tan. 


Index 10. 
5425036 
5420270 
5415509 
5410752 
5405999 
5401251 
5396508 
5391768 
5387033 
5382303 
5377577 
5372855 
5308137 
5363424 
5358715 
5354010 
5349310 
5344014 
5339922 
5335235 


5330552 


5325873 
5321198 
5316527 
5311861 
5307199 
5302541 
5297888 
5293238 
5288593 


5283952 


Tang. 


Natural 
Sine. 


2756374 
27539170 
2761965 
2764761 
2797550 
7/0352 
2773147 
2775941 
2778730 
2781530 
2784324 
2787118 
2789911 
2792704 
2795497 
2798 290 
2801083 
2803875 
2806667 
2809459 
2812251 
2815042 
2817833 
2820624 


2823415 
2820205 


2828995 


2331785 
2834575 
2837304 


2840153 


Nat. Co. 


Co-fine, 


9612617 


9611815 
9611012 
96102c3 


9608 598 
9007792 


9605 368 


9003748 


9602937 
9602125 


9601312 
9600498 
9599684 
9598869 
9598053 
9597236 
9590418 
95950600 
9594781 
9593901 
9593140 


9591493 
9590672 


9589023 
9588197 


Nat. Si. 


— 


Natural 


96094031; 
9606985 |; 
9606177]; 


9604558 


9592318135 


958984803: 


73 Degrees. 


* 


Tangents, and Natural Sines. 79 


16 Degrees. | 


Sine, | Co- ſine.] Tang. |Co-tan: || Natural | Natural | 
Sine. |Co-fine. | 


Index 9. | Index 9g. | Index 9. Index 10. a 
4537681] 9816995 4720685 [5279315|284294219557370129 in 
24541939 9816620|4725318 [5274682] 2845731]9580543 28 1 
454619298 16245 [4729947 6270053 28485 2009585715027 "a 
4550441|98158701473457! 5265428|| 2851308|9584886 26 
48468609815494 4739192526808 2854096|9584050|25 
4558926|9815117 4743808 [5256192] 2856884/9583225ʃ24 
4563161|9314740[[4748421]5251579] 235967 119552394[23 
4567392098 143634753029 5246971 2862458|9581562|22 
471518098 13985475763305242367 2868245587292! 
4758409813608 4782233 5237767 2868032 952989529 
4800589813229 4766829523317 28708 19957906019 
45842710981 2850477142105 228579 2873605 957822518 
458848098 1247104776009 52239910 287039119577389]17 
459268498 1209147 8059205219408 287917719576552[16 
-14:96884|9811711|4785172|5214828| 288195319575714|15 
4601079|9811331|[4789748|5210251] 288474819574875114 
4605 270|9810950|[4794319|5205681]| 28875 3319574035113 
4609456|98105 69114798387 |5201113 28903181[9573195]12 
4613638 9810187489345 15196549 239310319572354|11 
4617816| 9809805 [|4808011 [5191989 289588719571512110 
4621989] 980942 3114812566 5187434289867 19570669 9 
5214626158|9809040[[4817118 5182882]| 2901455|9509825| 8 
304630323 9808657 [482 16665 1783342904239 95608981] 7 
5404634483 9808273 48262105 173790 2997022 9568136] © 
) 5 

4 

3 

2 

I 

© 

M 


55]4638639|980788914830750 51692590 2909805 [9507 290 
:614642790|9807305 4835280051047 140 291258819500443 
746469389807 12048398 185 1601822915371 9365595 
581465 1081]9806735 [|4844346]5155654] 291815319504747 
5914655219]9890349 
6014059353 2925993 


Co-tine. Sine. 


484887005 151130 2920935963898 
4853390|5 146610] 2923717(9503048 
Co-tan. | Lang. Nat. Co. | Nat, 81. 


73 Degrees. 


A Table of Artificial Sines, 


17 Degrees. 


„ % — | O 


O © ww & 


E 


Sine. 


Tndex 9. 
4959353 
4663483 
4667609 
4671730 
4675848 
4679960 
4084069 
4688173 
4092273 
4696369 
4700461 
4704548 
4708631 
4712710 
4716785 


4724922 
4728985 
4733043 
4737097 
4741146 
4745192 
4749234 
4753271 
4757304 
4701334 


4705359 
4769380 
4773390 
4777409 
4781418 


1Co-fine. | 


4720856 


Co-tine. 


Index 9. 
9805963 
9805577 
9805 190 
9804803 
9804415 
9804027 
9803639 
9803250 
9802860 
9802471 
9802081 
9801690 
9801299 
9800908 
98005 16 
9800124 


9799732 
9799339 
9798946 
9798552 
9798158 
9797704 
9797369 
9796973 
9796578 
9796182 
9795785 
9795388 
9794991 
9794593 
9794195 


Sine 


Tang. 


Index 9. 
4853390 
4857907 
4862419 
4866928 
4871433 
4875933 
4880430 
4884924 
4389413 
4893898 
wy A 
4902858 


4907 332 
4911802 


4916269 
. - mand þ- 
4925190 
4929046 
4934097 
4938545 
4942988 
4947429 
4951865 
4950298 
49607 27 


4965152 


4909574 
497 3991 
4978406 
4982816 
4987223 
Co: tan. 


Co- tan . 


Tnaex 10. 


5142093 
5137581 
5133072 
5128567 
5124067 
5119579 
5115076 
5110587 
5106102 
5101620 
5097142 
5092668 
5088198 
5083731 
$979209 
5074810 
175357 
5005903 
5061455 
5057012 
5052571 
5048135 
ae Aon 
5039273 
834848 
5030426 
5026009 
8021521 
5017184 


Tang. 


5146610 


9012777 


Natural 
Sine. 


2923717 


2920499 
2929280 
2932061 
2934842 
2937023 
2940403 
2943183 
2945963 
29487 43 
— hat ter 
2954301 


2968194 
297997 
2973749 
29765 26 
2979303 
2982079 
2984856 
2987632 
2990408 
299318 
2995959 
2998734 
3001509 
3004284 
3007058 
Nat. Co. 


—— 


Natural 
Co-fine, 


— — 


9593048 
9502197 
9561345 


9300492]; 


9559639 
9533785 
9557930 
9557074 
9550217 
9555360 
9554502 
9553043 
9552783 
9551922 
9551061 
9550199 
9549330 
9548472 
9547607 
9540742 
9545876 
9545009 
9544141 
9543272 
9542403 


9541533135 


95 40662 


9539790 
9738917 
9538043 
9537109 
Nat. Si. 


72 Degrees. 


Tangents, and Natural Sines. 81 


17 Degrees. 


—— 


— 


N Sine. C Tang. Fs Natural | Natural 


Sine, | Co-ſine. 


Index 9. Index 9. Index 9. Tadb 10. 
j04781418 19794195 4987223|5012777 [3907058195 37169130 
111478542319793790[[4991020| 5083743009832 953629429 
5204789423 9793398 4996026503974 301260695 354188 
33793420 9792998 [S2 49995 ˙˙80[3015 380095 34541027 

4797412792599 [5081404995 1863018 1530953366426 
4801401 [9792 19815009203 [4999797 [3920926195 32789125 
3604805 385979179850 13588 4986412302 3699953190724 
809 366 9791397501796 4982031302647 10953102723 
481334297 909965022347 4977653 302924495 3014622 
4817315 9790594502672 14973279 3032 016952926421 
4821283979019 2031092 [4968908 303478809528 38220 
1825248 9789789503549 [4904541 13937559[9527499119 
482920897893 86[5039822 4960178 [3040331095 26615 
4833165978898 305044182 495581830431029525730 
8371179788 5795048538495 1462 304587209524844 
45|4841066197881751|5052891 [4947 199] 3948643195 23958 


4845010|19787770|15057240 [4942760305 14139523071 
4848951197 87305115051586[4938414||3054183|9522183 
43; 2888]97869601|5065928[49340721[3050953[9521294 
485682019786554||5070267 [4929733139597 2319520404 
$0] 4860749]9786148|]5074602 [4925398] 300249219519514 
5114354674[97857411|5078933 [4921067|| 3005261195 18623 
52|4868595[9785334||3083261 |4916739||306802919317731 
53]4372512197849271|5087586|49124141|3070798[9516338 
4487642697845 999 [49080931397 35669515944 
5514880335[9784111115096224 [4993776 13970334[9515049 
4884240]97837021[5100539| 4899401 [3079102[9514154 
5714888142[9783293115104849|4895151 [3081869]g513258 
| 58489 204097828835 1991564390844 308463695 12361 
594895934/9 7824745113450 4886540 308740395 11463 
901489982419782063115117760| 4882240 13090170195 105955 
Co- une. | Sin: FCo-tan. | ang. INat. Co.] Nat. Si. 


I ng Bn 
In SS wv ow © 


FFP ͤ ͤ 235. cor ood . % FER A. AT _ AL AEDT 
x 
Sn 


o = 88 


— — 


— 


72 Degrees. | 


A. 


— 


M 


A Table of Artificial Sines, 


18 Degrees. 


Sine. 


4229924 
4903710 
4907592 
4911471 
4915345 
0919219 
4923083 
4920940 
4930206 
4934661 
4938513 
4942361 
4946205 
4950047 
495 3883 
4957716 


Index g. 


Co ſine. 


Index 9. 
9782062 


9781653 
9781241 
9780830 


9780418 
9780006 


9779593 
9779180 
9778706 
9778353 


9777523 
9777108 
9776693 
9776277 
9775800 


4901545 
4905370 
4999192 
4973910 
4976824 


4980035 
4984442 
4988245 
4997045 
4995349 
4999633 
5003421 
5007 206 
5010987 
5014704 


Co- une. 


AA 674 


9775444 
9775026 
9774609 
9774191 
9773772 
9773354 
9772934 
9772515 

3771650 


9771253 
9770832 
9770410 
9769988 
9769566 


9777938] 


Tang. 


Inde g. 
5117760 


5122057 
5126351 
5130641 


5164838 
5169097 
$173353 
5177606 
5181855 
5186101 
5190344 
5194583 
5198819 
5203052 
5207282 
5211508 
515215730 
5219950 
5224166 
5228379 
5232589 
5230795 
5240999 


655248100 


- Sine.” - | 


Co-tan. 


Co-tan. 


Index 10. 
4882240 


3117822 


8343159250 


4771621 
4767411 
4763205 
4759001 
4754801 
Tang. 


313101234 
3193999 


Natural 


Sine, 


3090170 
3992930 
3095702 
3098468 


3106764 
32093 29 
3112294 
3115058 


31205 86 
3123349 
3126112 
3128875 
3131628 


3134400 
3137163 
3139925 
3142686 
3145448 
3148209 
3150969 
3153730 
3156490 


3162010 
3164770 


3167529 
3170288 


3173047 


| 


Nat.Co. 


959515754 


9504253 
9503348 
9502442 


95015361; 


9500629 
9499721 
9498812 
9497902 
9496991 


9496080 
9495168 
9494255 
9493341 
9492420 
9491511 
9499595 
9489678 
9488760 


9487841037 


9486922 
9480002 
9485081 
9484159 
9483230 


Nat. Si. 


71 Degrees. 


| um wm ww ww 24. * . 2 


Tangents, and Natural Sines. 


18 Degrees. 


5093258 


5022 308 


5050077 
5059811 
5063542 
5067209 
5070992 
5074712 
5078428 
5082141 
50858590 
90895555 


5096956 
5100651 
5104343 
5108031 
5111716 
5115397 
5119074 
5122749 
5126419 


Co- une. 


Co ſine. 


Index y. 


649769566 


—— ——ꝓ— — — 


5389709143 


9768720 
9708290 
9707872 


9707447 


9767022 
9762597 
9766171 
9705745 

7605318 
9704891 
9764464 
9764036 
9763608 
9793179 
9702750 
9702321 
9761891 
9761461 
9761030 


9700599 
9700167 
9759736 
9759303 
9758870 
9758437 
97590 24 
9757570 
9757135 
975070 


Sine. 


1 


Tang. 


Index 9. 


5245199 


5249395 
5253589 
5257779 
5201900 
56265150 
5270331 
5274508 
5278082 
5282953 
5287021 
5291180 
5295347 
5299505 
5303001 
5307313 
5311901 
5310107 
5320250 
5324389 
5328520 
5332659 
5336789 
5349910 
5345940 
5349161 
5353278 
5357393 
5301505 
5365613 
5309719 


Co- tan. | 


| 


Co-tan, | 


Index 10. 
4754801 
47 50005 
1740411 
4742221 
47 38034 
47 32850 
4729909 
4725492 
4721318 
4717147 
4712979 
4700814 
4704053 
4700495 
4096339 
4692187 
4688029 
4683893 
4079750 
4675611 
4671474 
4007 341 
4663211 
4059084 
4054900 
4050839 
4646722 
4642607 
4638495 
4634387 


4630281 


Tang. 


Natural 
Sine. 


317304” 
3175805 
3178563 
3181321 
3484079 
3186836 
3189793 
3192350 


3195106 


3197893 
3200019 
3203374 
3200130 
3208885 
3211640 
3217149 
3219993 
3222057 


3225410 
3228164 


3230917 
323370 
3236422 
3239174 
3241920 
3244078 
3247429 
3250180 
3253938 


3255082 


Nat.Co. 


ö 


Natural 
Co- ſine. 


2483236 
9482313 
9451389 
9450464 
9479538 
9478611 
9477684 
9476756 
9775827 
9474897 
9473035 
9472103 
9471170 
9470230 
9409301 
9405306 
9407430 
9406493 
9465555 
9464616 
9403676 
9462736 
9461795 
9460853 
9429910 
9458967 
9458023 
9457078 
9450132 
9455185 


| Nat. Si. 


10 


o — wee hey © o 


71 Degrees. 


M 2 


A Table of Artificial Sines, 


19 Degrees. 


A 


Sine. 


xda 9. 

5126419 
5130080 
513375 
5137410 
5141057 
8144221 
5148371 
5152017 
515 5660 
3192 
5162936 
5166569 
5170198 
5173824 
5177447 
5181066 
5184682 
5188295 
5191904 
5195510 
5199112 
5202711 
5200307 
5209599 
5213498 


5220656 
5224235 
5227811 
5231383 
5234953 


5217074[974 


5373821 
5377920 
5382017 


5386110 
5 399200 


5430937 
5439048 


5447148 


5455230 
5459276 
5403312 
5467 340 


5475405 


5483452 
5487471 


ee 


Co- tan. 


Index 10. 
4630281] 3255082[9455185 60 


4526179||325843219454238|59 
4622080|| 32611821945 3290158 


5434994 
5443100 


5451193 


$471377 


$479430 


Sine. 


- 


4617983 3263931 


4605713 


4581253 
4577187 
4573123 
4569093 
4565000 
4550952 
4556900 
4552552 
4548307 
4544704 
4540724 
45 36688 


4532054 
4528623 


4524595 
4520570 
4516545 
4512529 


— 


— 
— 


Tang. 


. Natural Ns 
Co-fine, 


4613890 326668 19451391056 
4609800 326943919450440155 
3272179 9449489054 
4601629 3274928 09448537 53 
4597547 327797019447584152 
4593469 3230424 [944063051 
614539394 || 328317219445675150 
$5 3221| 32859191944472014 
45812 328866619443764 ; 
3291413044280) 
3294160 9441849 
3296906904489 
329905 29439931 
3302 39819438971 
3305 144943501614 
3307389|9437048 
3310634|9430085140 
3313379194352! 
3i612319434157 
3318867943319? 
3321011 9432220 
3324355|9431200133 
33 2709894332953 
3329841942932 
333258 409428356 
3335327427386 
3338069942015 
N at. Co. Nat. S1.) 


Co- hne. 


70 Degrees. 


— WE, 2 


— 


* 


Tangents, and Natural Sines. 


19 Degrees. 


Sine. 


Index . 
5234983 


5238518 
5242081 
5245040 
5249190 
5252749 
5256298 
5259844 
5203387 
5266927 
2204.3 
5273997 
5277526 
5281053 
5284577 
5288097 
5291614 
5295128 
5298638 
5302146 
5205650 
5309151 
5312649 
5316143 
5319635 
3323123 
5326608 
5330099 
$333509 
5337044 
845817 
Co- ſine. 


Co-ſine. 


Prader 9. 
9743466 


9743018 
9742570 
9742122 
9741673 
9741224 
97 49774 
9740324 
9739873 
9739422 
9738971 
9738519 
9738067 
9737615 
9737162 
97 30709 
9730255 
97 35801 
9735349 
97 34891 
9734435 


9733980 
9733523 
9733067 
9732610 
9732152 
9731694 
9731236 
9730777 
9730318 
9729858 


Sine. 


Tang. 


Index 9. 

5491487 
5495500 
5499511 
5503519 
5507523 
141. 
5515524 
5519521 
5523514 
5527505 
3331492 
$535477 
5539459 
5543438 
5547415 
5551388 
5555359 
5559327 
5503292 
5567255 
9571214 
5575171 
5579125 
5583077 
5587025 
$290971 
5594914 


5598854 
5602792 


5606727 
5610659 


Co- tan. 


Co: tan. 


Index 10. 
4508513 
4504500 
+500489 
4490481 
4492477 
4483475 
4484476 
4450479 
4470486 
4472496 
4468508 


4464523 


4444041 
4440673 
4436708 
4432745 
4428786 


4424829 
4420875 
4416923 
1112975 
4489029 
4405086 
4401146 
4397208 
1393273 
4389341 
Tang. 


Natural 
Sine, 


3338069 


33408 10 
3343552 
3346293 
3349034 
3351775 
3354516 
3357256 
3359996 
3302735 
3305475 
3308214 
3370953 
3373091 
3370429 
3379167 
3381905 
3384642 
3387379 
3390116 
3392853 
3395589 
3398325 
3401060 
3403795 
3490539 
3409205 
3412000 
34147 34 
3417408 
3420202 


Nat. Co. 


Natural 
Co-ſine, 


1 
9425443 
9424471 
9423498 
9422524 
9421550 
9420575 
2419599 
9418022 
9417044 
0420005 
9415685 
9414705 
9413724 
9412742 
9411760 
2710727 
9409793 
9408808 
9407822 
9499835 
9495348 
9404860 
9403871 
9402881 
9401890 
9400899 
9399907 
9393914 
9397920 
9390926 


10 


Nat. 81. 


20 — 8 AN o 


70 Degrees. 


* — 


A Table Artificial Sines, 


20 Degrees. 


— 
E 00 ol + ww tv o 


Sine. 


Index 9. 
5340517 
5343986 
5347452 
5350915 
5354375 
5357832 
5361286 
5364737 
5368184 
5371628 
5375070 
5378508 
5381943 
5385375 
5388804 
5392230 
5395053 
5399073 
5402489 
5405903 
5409314 


6412721 
5416126 


15419527 


5422920 
5426321 
5429713 
5433103 
5436489 
5439873 
5443253 


Co- ſine. 


Co- ſine. 


Index 9. 
9729858 
9729398 
9728938 
9728477 
9728016 
222 
9727092 
9726629 
9726160 
9725703 
9725239 
9724775 
9724310 
9723845 
9723380 
9722914 
9722448 
9721981 
9721514 
9721047 
9720379 
9720110 
9719042 
9719172 
9718703 
9715233 
9717702 
9717291 
9716820 
9716348 


9715870 
| Sine. 


Tang. 


0 


Index 9. 
56 0658 
. 
5614588 
5618515 
5522439 
5526360 
5630278 
5634194 
5638107 
5642018 
5645925 
50498331 
8653733 
9657633 
56615 30 
5665424 
5669316 
5673205 
5577091 
5680975 
5684856 


5692611 
5696484 
5700355 
5704223 


5708088 


5711951 
5715811 
5719659 
$723524 
$727377 
Co-tan. 


5688735 


Co-tan. 


Index 10. 


4389341 


4385412 
4381485 
4377561 
437 3040 
4309722 
4395806 
4361893 
4357982 
4354075 
4350169 
4346267 
4342367 
4338470 
4334576 
4330084 
4320795 
4322909 
4319025 


4311265 
4307389 
4303516 
4299645 
1295777 
4291912 
4288049 
4284189 
4280331 
4276476 
4272623 


Tang. 


Natural 
Sine. 


3420202 


3422935 
3425608 


3428401 
3431133 
3433865 
3430597 
3439329 
3442060 
3444791 
3447522 
3450252 
3452982 
3455712 
3458442 
3491171 
3403920 
3466629 
3469357 
3472085 
3474813 
3477540 
3480267 
3482994 


3485721 
3488447 


3491173 
3493899 


3502074 


— 


. 
Co-ſine. 


—— — 


939692660 
9395931159 
9397955058 
9393938057 
239 940[56 
939"9i2155 
959094 ]; 
93899533; 
9380942 52 
938790; 
938693750 
93859340 
9334930148 
93839254) 
9382919046 
9350906144 
9379898043 
9378889042 
9377879041 
9375869140 
9375858039 
9374846039 
9373833137 
9372819136 
9371805135 
9370790134 
9369774133 
936875737 
9367740031 
9366722130 


Nat.Co. 


Nat. S1.|M 


—— 


69 Degrees. 


— 


— 


Tangents, and Natural Sines. 


20 Degrees. 


CN 1 WO 1 %P- — WR ts * 1 —_ ""_ — oy 


| al © — Ot wa 122 


Co-ſine, 


j. Index 9. 


219713509 
29713035 


5473572 
5470893 
5480240 
5483585 
5480927 
5490266 
5493602 
5490935 
5500265 
3593592 
5506916 
5510237 
5513556 
5516871 
5520184 


54652349 
556526801 


5530105 
5533400 
553070 
5539999 


5543292 
o- ſine. 


9715876 
9715405 
9714931 
9714457 
9713984 


9712500 
971208 4 


97 11608 
9711132 
97 10655 
9710178 
9709701 
9709223 
9708744 
9708205 
9707780 
9707300 
9700820 
9706346 
9705805 
9705383 
9704902 
9704419 
9793937 
9703454 


Tang. 


Index g. 
$727377 


5731227 
5735074 
5738919 
5742761 
5746601 


5750438 
5754272 
5758104 
5761934 
5705701 
5709585 
577/3407 
5777220 
5781043 
5784858 
5 88669 
5792479 
5796286 
5800090 
5803892 


5807091 
5811488 
5815282 
5819074 
5822864 
5820051 


9792970115839435 
9792480; 5834217 
9702002! 5937997 

9701517 [3841774 


Sine. 


[Co- tan. 0-tan. | 


Co tan. 


Index 10. 
4272623 
4208773 
4264926 
4261081 
1257239 
4253399 
1249562 
4245728 
4241896 
4238066 
4234229 


423041, 
4220593 
4222774 
1218957 
4215142 
4211331 
4207521 
4203714 
1199910 
4.90108 
4192309 
4188512 
4184718 
4180926 
4173349 
4169505 
4165783 
4162093 
4158226 


Tang. 


Natural 
Sine. 


3502074 


3504799 
3507523 
3510247 
3512970 
3515093 
3518416 
3521139 
3523802 
3520584 
3529306 
3532027 
3534748 
3537409 
3540190 


3542910 


3545030 
3548350 
3551970 
3553789 
3550508 
3559220 
3501914 
3564652 
3597380 
3570097 


3572814 


3575531 
3578248 


3580964 


3583079 


Natural 


Co ſine. 


9366722 


9305703 
936:683 
9363662 
9362640 


9361618]: 


9300595 
9359571 
9358540 
9357521 
9350495 
9355408 
9354440 
9353411 
9352382 
9351352 
9350321 
9349289 
9348256 
9347223 
9346189 


9345154 
9344118 
9343082 
9342045 
9341007 
9339908 
9338928 
9337887 
9336846 


9335804 


69 Degrees. 


Nat. Co. Nat. Si. 


— . —— — 


— 


— — — — 
COS 


—— — 


——— — 


— - 


— —  —— 
_—— 


2 
— - 
E * 


A Table of Artificial Sines, 


21 Degrees. 


E | — 
oO Oo wow 0 


130 


Sine, 


Index . 
5543292 
5540581 
5549808 
5553152 
5550433 
5589711 
5562987 
5566259 
5569529 
5572796 
5576060 
5579321 
5582579 
5585835 
55 89088 
5592335 


595885 
5598829 
5602071 
5605310 


5608546 
5611779 
5615010 
5618237 
5621462 
5624685 
5627904 
5631121 
5634335 
5637540 
56040754 


Co-hne. 


Co-ſine. || Tang. 


Index g. 
g7015175841774 


9701032||5845549 
9700547115349321 
9700061 || 5853091 
96995 745856859 
9699087 || 5 8660624 
9598800586386 
9698 11205868147 
9697624587 1904 
9697136587560 
96966471}5879413 
9696158}}58831063 
9695668 [5886912 
9695177890657 
9694687 [5894401 
9694196 
9693704590188 
9693212 5905617 
9692720059093 51 
5913082 
5916812 


969124059205 39 
9690746924203 
9690252 5927985 
9689757931705 
288925283422 
5939138 
15942851 
[5946501 
5950269 


9688270 
9687773 
9687276 
9686779 


Sine, 


5898142 


Co-tan. 


Index 10. 
4158226 


4154451 
4150679 
4146909 
4143141 
4139370 
4135614 
1131853 
4128090 
4124340 
4120587 
4110837 
4113088 
1109343 
4105599 
4101858 
4093119 
4094383 
4090649 
4086918 
4083188 


4979401 
40753737 
4072015 
406829z 
4904577 
4050803 
4957149 
4053439 
4049731 
4046025 


Tang. 


Natural 
Sine. 


3583679 
3586393 
3589110 
3591825 
3594540 


359724 


3599968 
3602682 


3605 395 
3608108 
3610821 


613 
36581 
3618958 
3621669 
3624380 
3627091 
3629802 
3632512 
3635222 
3937932 
3040041 
3543350 
36046059 
3648768 
3051476 
3054184 
3656892 
3059599 
3662 306 


3055013 


| Nat. Co. 


Natural 
Co-fine, 


9335804060 


— — 


9334701159 
9333717158 
9332073157 
9331628|56 
9330582 55 
9329535154 
9328487153 
9327439152 
9326390|51 
9325340 50 
932428949 
9323238 
9322186 
9321133 
9320079 
9319024 
9317968 
9316912 
9315855 
9314797 
9313738 
9312679 
93116190 
9310558 
9309490 
9308433 
9307370 
9306306 
9305241 
9304175 
Nat. di. 


68 Degrees. 


7. angents, and Natural | Sines. 


| 


21 Degrees: 


— 


M| Sine. 


4215647 163 
33 5550363 
3415653501 


395669 08 


0568855 5 


4615091721 
715094883 


5315713802 


5315729495 


Co-fine. 


Tadex 9. 
10] 56407 54 
z1[564 3960 


405672689 
4115075808 
4215979044 
315682217 
45685387 


— ͤ:J2 


485698043 
4915701200 


505794355 
515707500 
525710656 


5415716946 
$5157 20087 
56015723226 
5715720362 


595732626 
2 2324 


* 


Co- ſine. 


Index 9. 
968679 
968628 
9585783 
9685284 
9584789 


15[5656756|9084280 


1615059948 
1715053137 
385666324 


9683786 
9683285 
9682784 
9682283 
9681781 


9681279 
9680777 
9680274 
9979771 
9679267 
9678763 
9678258 
9977753 
9677247 
96767 4.1 
9070235 
9075728 
9675221 
9074713 
9074205 
9673698 
96731788 
9672679 
9672169 


9671659] 


Sine, | 


Tang. 


Index * 
595397% 
595707 
5901380 
5965079 
59.8770 
5972479 
5976162 
5979852 
5983540 
5987225 
5990908 
5994588 
5998267 
600 1943 
60056 1 7 
6009289 
6012958 
6016625 
6020290 


Judex 10. 


4042321 
4038620 
1034921 
4031224 


4020148 
4010460 
4012775 


4005412 
4001733 
3998057 
3994383 


3957042 
3983375 
3979710 


602395313970047 


6027513 
6031271 
6034927 
6038581 
6042233 
604588: 


604959 
6053174 
6056817 
6065457 
6064090 


Co- tan. 


3968729 
3965073 
3961419 
3957767 


3946826 
3943183 


Tang. 


4046025 


1027530 


4023838 


4009092 


39907 i1 


3972387 


3954112 
3950471 


Sine 


3665013 
3667719 
3670425 
36 3131 
3675836 
3678541 
3081246 
3683950 
3686654 
3689358 


3692092 


3694765 
3697468 
3700170 
3702872 


3708276 
3710977 
3713678 
3716379 
3719080 
3721780 
3724480 
3727179 
3729878 
3732577 
735275 
3737973 
3740071 


39395431] 3743369 
3935994 || 3746266 


Nat. Co. 


— 


. | Natural 


Natural 
Co-fine. 


| 
9304175 
9303 10g 
9302042 
9300974 
9299905 
19298835 
9297765 
9296694 
9295622 
9294549 


9291326 
9290250 


9285938 
9284858 
9283777 
9282696 


9289531 


9279447 
9278302 


9276191 
9275104 
9274016 
9272928 
9221839 


9293475 
9292401: 


9289173 
3705 57409288095 
9287017 


9281014 


9277277 


Nat. Si. 


10 


_ es * 
- ATTY 


68 Degrees. 


— 1 


N 


a 2 = 
—— 


2 


[A Table of Artificial Sines, 


22 Degrees. 


\O e 


10 


Sine. 


Index q. 


5735754 
5738880 
5742003 
5745123 
5748240 
575 1366 
5754403 
5757578 
5760685 
5763790 
5766892 
5709991 
5773088 
5770183 
5779275 
5782364 
5785450 
5758535 
5791616 
5794695 


$797772 


5800845 
5803917 
5800986 
581005 2 
5813116 
5816777 
5819236 
5822292 
5828345 


58283907 


Co- ine. 


Co- ſine. 


Index 9. 
9971059 
9971148 
9670637 
9670125 
9669614 
9669101 
9668558 
9668075 
9667502 
9667048 
9060533 
9666018 
9665503 
9664986 
9664471 
9663954 
9603437 
9662920 
9662402 
9661884 
9661365 
9600840 
9660326 
9659806 
9659285 
9658764 
9058243 
9657721 
9657199 
9656677 
2686183 
Sine. 


Tang. 


Index 9. 
6064096 
6067732 
6071366 
6074997 
078627 
6082254 
6085880 
6089503 
6093123 
6096742 
6100359 


0103973 
6107586 


6111196 
6114804 
6118409 
6122015 
6125615 
6129214 
6132812 
6136407 
6140000 
0143591 
6147180 
6150766 
6154351 
0157934 
6101514 
6165092 
6168669 
6172242 
Co- tan. 


Co -tan. 


Index 10. 
3935904 
3932208 
3928634 
3925003 
3921373 
3917746 


3914120 
3919497 
2906870 
3993258 
38996 41 
3896027 
3392414 
3888304 
38851906 


3881591 


3877987 
3874385 
3870786 
3867188 
3863592 
3860000 
3850409 
3852820 
3849234 
3345049 
3842006 
3838486 
3834907 
3831331 


3827757 


Tang. 


Natural 
Sine. 


3746000 
3748763 
3751459 
3754150 
3756852 
3759547 
3702243 
3764938 
3767632 
3770327 
3773021 
3775714 
3778408 
3781101 
3783794 
3786486 
3789178 
3791870 
3794562 
3797253 
3299944 
3802634 
3805324 
3808014 
3810704 
3813393 
3816082 
3818770 
3321459 
3824147 


3826834 


Nat. Co. 


Natural 
Co-: ſine. 


9271839 


9270749 
9269658 
9268566 
9267473 


926638005; 


9265286 


926419115 


9263096 
9262000 


9260903 [50 


9259805 
9258706 
9257606 
9256506 


925549519 


9254303 
9253200 
9252097 
9250993 


9249888140 


9248782 
9247075 
9246568 
9245460 


924435113) 


9243241 
9242131 
9241020 
9239908 


9235795 


Nat. Si. 


67 Degrees. 


— 


EE ⁰ůumꝛI— ͤ ůà-â?“uf! ¶ n reren 


Tangents, and Natural Sines. 


22 Degrees. 


Sine. 


lndex . 


5828397 


5831445 
5834491 
5837535 
5840570 
5843915 
5846651 
5849686 
5852716 
5855745 
5858771 
5801795 
5864816 
5867835 
5870851 
5873865 
5876876 
5879885 
5882892 
5885896 
5888897 


5891897 
5894893 


5897888 


5900880 
5902869 
5906856 
5909841 
5912823 
3915803 


5918780 
Co- ne. 


r 


Co- fine. 


Index g. 
9656153 
965 5630 
965 5 106 
9654582 
9654057 
9053532 
965 3006 
9652480 
9651953 


Tang. 


— — — 
Iudix . 


6172243 


6175515 
6159385 
6182953 
61865 19 
6190083 


6193645 
6197205 


6200762 


965 1426062043 18 


9650899 6207872 


965037100211423 
9949843|0214974 


9649314 


62185 20 


9648785 [6222066 


9648256 
9047720 
9047195 
9646605 
9946133 
9545602 
9645009 
9044537 


9044004 
9643470 
9042937 
9042402 
9041858 
9041332 
9040797 
9040261 
Sine 


0225609 
0229150 
0232690 
0236227 
9239763 
6243295 


62468 37 


6250356 
6253884 
6257409 
6260932 
6264454 
6267973 
627149 
6275006 


6278510 


Co, tan. 


Co- tan. 


Index 10. 
3826834 


38295 22 


3827757 
3824185 
3820615 
3817047 
3813481 
3809917 
3802355 
3502795 
3799238 
3795582 
3792128 
3788577 
3785026 
3781480 
3777934 
377439! 
377850 
3767510 
3763773 
370023; 
3759704 
3753173 
3749644 
3746116 
3742591 
37 39993 
3735546 
3732027 
3728509 
37 2499+ 


| 


Natural 
dine. 


3832209 
3834895 
3837582 
3840268 


3842953 
3845639 


3848324 
3851008 


3856377 
3859060 


3861744 


3864427 
3857110 
3859792 
3872474 


3875156 


3877837 
3880518 


| 3883199 


3885880 


3888560 


3891239 


33893919 


3896598 
3899277 
3991955 

| 3994033 


3721451 
Lang 


(3907311 


| Nat. Co. 


3853693 


Natural 
Co: ſine. 


923379: 
923705! 
9236567 
9235452 
9234330 
9233239 
9232102 
9232954 
9229865 
9228745 
9227624 
9226503 
9225381 
9224258 
923434 
9222009 
9220884 
3219758 
9218631 
9217503 


9216375 


9215246 
9214116 
9212985 
9211854 
9210722 


9209589 
9208455 
9207320 
920018; 
9295049 


10 


Nat. Si. 


[Zlo= nun owes] 


67 Deprees. 


— i 


Onan — — os —̃ — 


— 


. ˙— en mn ng PB 


— — 
— 
— 


„ 


—— 


- - 
— x. . — — 
oy — — 
4. 


— 


— ” 
_ - 
—— — 


En Cn — 
_— ren y——— 


_- — F —ͤé . . _ = — ̃ — 


8 
fe 1 


1 3 


Lalit 


—_— 


N 2 


A Table of Artificial Sines, 


50. ww Men le 


0D = wn Wi wy | ws Wt — D — 
188 ON r 


Sine. 


Index . 


5918780 


5921755 


5924728 


5927698 
5930666 


5933001 


5936594 
5939555 
5942513 
59454609 
5945422 
5951373 
5954322 
5957268 
5960212 
5903154 
5966093 
5969030 
5971965 
5974897 
$977827 
5980754 
5983680 
5986602 
59895 23 
5992441 
5995357 
5998270 
6001181 
6004090 


6006997 


4 Co-hne. 


Co-ſine. 


Index . 
9640261 


9639724 
9639187 
9638650 
9638112 
9637574 
9637036 
9636496 
9935957 
9935417 
9034877 
9634336 
9633795 
9633253 
9032711 
9632168 
9631625 
9631082 
9630538 
9629994 
9629449 
9628904 
9628358 
9627812 
9627265 
9626719 
9626172 
9625624 
9025076 
9624527 
9623978 


Sine. 


Tang. 


Index g. 
6278519 
6282031 
6285540 
6289048 
6292553 
6296057 
6299558 
6303058 
6306556 
631005 2 
6313545 
6317037 
0320527 
0324015 
6327501 
6330985 
6334468 
0337948 
6341426 
5344903 
6348378 
6351850 
0355321 
0358790 
6362257 
6365722 
6369185 
6372646 
6376106 
0379503 
6383019 


Co- dan . 


23 Deprees. 


Co-tan. 


Index 10. 
3721481 


3717969 
3714400 
3710952 
3707447 


328248 


3700442 
3096942 
3093444 
3089948 
3680455 
3682963 
3079473 
3075985 
3072499 
3669015 
3605532 
366205 2 
3658574 
3055097 
3651022 
3648150 
3044679 
3041210 
3037743 
3634278 
3030815 
3027354 
3023894 
3620437 
3616981 


Tang. 


| 


Natural 
Sine. 


3907311 
3909989 
3912666 
3915343 
3918019 
3920695 
3923371 
3926047 
3928722 
3931397 
3934071 
3930745 
3939419 
3942093 
3944706 
3947439 


3950111 
3952783 
3955455 
3958127 


3960798 


3963469 
3966139 
3968809 
3971479 
39741458 
3976817 
3979480 
3982155 
3984823 


3987491 


Nat. Co. 


| 


Natural 
Co-iine. 


9205049 
9203912 
9202774 
9201635 


9200496 


9199356155 


9198215 


91970735 


9195931 
9194788 
9193044 
9192499 
9191353 
91902C; 
9189060 
9187912 
9180763 
9185014 
9184464 
9183313 
9182161 
9181008 
9179855 
9178701 
9177546 
9170399 


917523413 


9174077 
9172919 
917170 
9170601 


Nat. Si. 


— — 


hs _ 


66 Degrees. 


* 


7. . and Natural Srnes. 


T1 — - 


23 8 


So” 
- — 


Co- ſine. 


Index 9. 


6015703 
601 8600 
6021495 
6024388 
6027278 


2816030166 


6033052 
6035930 
6038817 
6041696 
9944573 

047 448 
6050320 
6053190 
6056057 
6058923 
6061786 
6064647 


Co- ſine. 


9023978 
9623428 
9622878 
9622328 
9621777 
9621226 
9620674 
9620122 
9619569 
96190 16 
9618463 


9617909 
9617355 
9616800 
9616245 
9615689 


9615133 


9614579 
9614020 


9613463 


9612904 


90 2340 


2190911787 


9611228 
9610668 
910108 


9609548 
9608987 
9608426 
9607864 
9607302 


Tang. 


Index 
6383019 


6386473 
6389925 
6393375 


6396823 
6400269 


6403714 


0407155 
10 

COS 
6417473 
6420908 
6424342 
6427773 
6431203 
0434031 


© ow 


Co-tan. 


9. | Index 10. 


3516981 


3613527 
3610075 
3606025 
3603177 
35997 31 


— 


„ 


Natural 
Sine. 


3987491 
3990158 


3992825 


3995492 
3998158 
3900824 


3596286 


3592844 
3589403 
3585964 


3582527 


3579092 
3575658 
3572227 
3568797 
3505370 


0438057 
6441481 
0444903 
0448324 
0451743 
6455100 
0458575 
6461988 
6465400 
6468810 
0472217 
0475024 
6479028 
648243! 
6485831 


Sine. 


Cos: tan. 


3561943 
3558519 
3555097 
3551076 
3545257 
3544840 
3541425 
3538012 
35346 
3531190 


3527783 
3524370 
3520972 
3517509 
3514169 
Tang. 


3903490 
4006156 


4008821 


4011486 
4014150 
4016814 
4019478 


4022141 


4024804 
40274067 
4030129 


4032791 


4035453 


4038114 
4040775 


4043430 
4046096 
4048756 
405 1416 


4954975 


4950734 


4059393 
4062051 


4064709 
4007 306 


N at. Co. 1 


Natural 
Co-ſine. 


9170601 
9169441 
9168280 
9107118 
9105955 
9104791 
9163627 
9162462 
9161296 
9160130 
9158963 
9157795 
9156626 
9155450 
9154286 
25115 
9151943 
9150770 
9149596 
9148422 
9147247 
9140071 
9144895 
9143718 
9142540 
9141361 
9140181 
9139000 
9137819 
9130637 
9135454 

at.” Sls 


19 


66 Degrees. 


[ Slo — FEE 2 o 


— 


EL 


n 


A Table of Artificial Sines, 


* — — 


* 


24 Degrees. 


© OO OA td 210 


Sine. 


Index q. 

6093133 
6095969 
6098803 
6101635 
6104465 
6107293 
6110118 
6112942 
6115762 
6118580 
6121397 
6124211 
6127023 
6129833 
6132041 
6135446 
6138250 
6141051 
6143850 
6146647 
6149441 
6152234 
6155024 
6157812 
5160598 
6163382 
616616 

6168944 
6171721 
6174190 
0177270 


Co- fine. 


2 


Co-fine, 


Index q. 
9607 302 


96067 39 
9606176 


9605612 


9605048 
9604484 
9003919 
9903354 
9602788 
9602222 
9601685 
960 1088 
96005 20 
9599952 
9599384 
9598515 
9598246 
9597676 
9397106 


9596535 


9595994 
9595393 
9594821 
9594248 
9593075 
9593102 


49592528 


9591954 
9591380 
9590805 
9590229 


Sine. 


— 


Tang. 


Index 9. 
6485831 
6489230 
6492628 
6495923 
0499417 
6502809 
6506199 
0509587 
6512974 
0516359 
5519743 
0523123 
6526503 
6529881 
0533257 
653663 
6540004 
6543375 
6546744 
6550112 
0553477 
6556841 
0560204 
6503504 
6560923 
6570280 
6573636 
0576989 
6580241 
6583692 
658704. 


Co- tan. 


Index 10 
3514109 
3510770 
3507372 
3503977 
3500583 
3497191 
3493801 
3499413 
3487126 
3483741 
3480358 
3470877 
347 3497 
3470119 
3466743 


3493309 
3459930 


3456025 
3453256 


3449888 
3440523 


3443159 
3439790 
34304.36 
3433077 


3429720 


3426364 
3423011 


3419659 


3416305 


3412960 


Co- tan * 


Tang. 


Natural 
Sine. 


4067366 


4070023 


4072680 


4075337 
4077993 


4080049 


4083305 


4085960 


4088615 


4091269 
4093923 
4096577 
4099230 


4101883 


41045306 
4107189 


4109841 
1112093 


11151449 
4117795 
4120446 
4123096 
4125740 


4128395 


4131044 
413369; 
4130342 
4138990 
4141638 
4144285 
4140932 


Nat.Co. 


Natural 
Co, ſine, 


913545 
9134271 


9131902 


9125965 
9124775 


9122363 
9121201 
9120008 


9116425 


9112835 


919443? 


+ 


| 


91330875 


9130716156] 
9129529155 
9128342]; 
9127154 


9123584 


911881440 
9117020043 


9115229 
114032 


9111637 


9110438 
9109238 
9108038 
910683 
9105035 


9103228 
9102024 
91008 19 
90990113 
| Nat. Si. 


65 Degrees. 


„ 0 — 


n . RP, äq = I 


ns — 


e e 


Tangents, and Natural Sines. 


24 Degrees. 


— 


2222 


Co- ſine. 
Index 9. 


9589053 
9589077 
9588500 
9587923 


19587345 


9586767 
9586188 
9585609 
9585030 


9584450 


9583809 
9583288 
9582707 
9582125 
9581543 
9580961 
9580378 
9579794 
9579210 


9578626 


9578041 
9577456 
9570870 
9576284 


19575697 


9575110 
9574522 
9573934 
957334 


Co- ſine. | 


TS 


9572757 
Sine, 


[ 


Tang. 


lnaex 9. 


6587041 


0590387 


6593733 
6597076 
6600418 
6603758 
6607097 
66104 34 
6613769 
6617103 
6620434 


6623765 


6627093 
0530420 
0633745 


6637069 


0640391 
6643711 
6647030 
6650346 


665 3662 


6050975 
6660288 
6663598 
6666907 
6670214 
667351 

6678823 
6680126 


611668 34.26 
6685725 


Co- ran * 


Co- tan. | 


Index 10. 
3412960 
3409613 
3406267 
3402924 
3399582 
3396242 
3392903 
3389566 
3386231 
3382897 
3279566 
3370235 
3372907 
33695 80 
3366255 
3362931 
3359608 
3356289 
3352970 
3349654 
3346338 
3343025 
3339712 
3336402 
3333093 
3329786 
3320481 
3323177 
3319874 
3310574 
3313275 
Tang. 


Natural 
Sine, 


4145932 
4149579 
4152226 
4154872 
4157518 
4160163 
4162808 
4165453 
4168097 
4170741 


4173385 


4176028 
4178671 
4181313 
1183955 


4186597 


4189239 
4191880 
4194521 
4197161 
4199801 
4202441 
4205080 
4207719 
4210358 
4212996 
4215034 
4218272 
4220909 
4223540 
4226183 
Nat. Co. 


Natural 
Co- ſine. 


9099613 
9098406 
9097198 
9095900 
9994781 
9993571 


9091150 
9089938 
9088725 
9087511 
9086297 
9085082 
9083865 
9082649 
908 1432 
9080214 
9978995 
9077775 
9076554 
9075333 
9074111 
9072888 
9071664. 
9070440 
9069215 
906798 

9566762 
9065535 
9064307 
9063078 


Nat. Si. 


9092361} 


10 


65 Degrees. 


ä I 


Sl 0. ow | 00 o 


— up ͥ —— ͤ —ͤ0ä—— 


| 


AA Table of Artificial Sines, 


25 Degrees. 


= 


\O ow oxfun wo N =lo 


10 


Sine. 


Index 9g. 
9259483 
5262191 
6264897 
6267601 
6270303 
6273003 
6275701 
6278397 
628 1090 
6283782 
6286472 


6289160 
6291845 
62945 29 
6297211 
wht Lon a 
6302568 
0305243 
6307917 
6310589 
6213258 
6315926 
6318591 
632125 5 
6323916 
6320576 
6329233 
6331889 
0334542 
6337194 
6339844 
Co-fine, 


de 


x7 
9537757 
9572168 
9571575 
9570988 
9570397 
269805 


9569215 


9568623 
9568030 
9507437 
9566844 
9560250 
9565656 
9565001 
9564466 


. 


9503274 
9562678 
9562081 
956148; 


9560886 6 


9500287 


9559689 
9559089 
9558490 


9557899 


9557289 
9556688 


9556087 
9555485 


9554882 


Sine 


| 


Tang. 


6722910 
6726190 
6729468 
6732745 
6736020 
6739294 
9742566 
6745836 
6749105 


6771944 
6775201 
6778456 
0781709 
6784961 
Co-tan. 


513283655 


Co-tan. 


Index 10. 


3300094. 
339680 


3293514 
3290226 
3286940 


3280372 


3277090 
3273810 


3228056 
3224799 
3221544 
3218291 


3215039 


Tang. 


Natural 
Sine. 


4228819 
4231455 
4234090 
4236725 
4239300 
4241994 
4244628 
4247262 
4249895 
425252 
4255161 
4257793 
4200425 
4263056 
4205687 
4208318 
4$270949 
4273579 
4270209 


324762814278838 


4281407 
4284095 
4286723 
4289354 
4291979 


111 


Natural 
Co- ſine. 


— — 


9061843 
9060617 


905938605 


9054454 
905 3219 
9951983 


9259746159 


9949509 
9048271 
9047032 
9045792 
9944551 
904.3310 
9042068 
9040825 
9939532 
9038338 
9037093 
9035847 
9034600 
9933353 


9932105135 


4294006 
4297233 
4299859 
4302485 
430511 


9030850 
90296506 
9028356 
9027105 


9025853 


4. —_—_ E 


64 Degrees. 


th. I 


i 


Nat. Co. 


Nat. 81 


97 


Tangente, and Natural Sines. 


25 Degrees. 


——_ 


71— 


6266231 


6368359 


6371484 
6374108 


6370731 


0479351 


5381969 


6384585 


6387 199 
6389512 
6392422 
0;95030 
0197037 
6400241 


54104028 4.4 


0405445 
6408044 


5716410640 


6413235 
6415828 
0418420 
Co- ſi ne. 


8 


Index 9. 


Co- ſine. 


9554582 


9554280 
9553676 
9553073 
9552469 
9551864|| 
9551259 
9550053 
9550047 
9549441 
9548534 
9548227 
9547619 
9547011 
9546402 
9545793 
3345184 
9544574 
9543903 
954335? 
9542741 
9542129 
9541517 
9549904 
9540291 
9539977 
9539203 
9538448 
9537833 
9537218 
95 36602 


Sine. 


—— 


Tang. 


0788211 
6791460 
6794708 
5797953 
6801198 
rn 
6807682 
6810921 
6814160 
6317396 


6820532 


6823865 
6827098 
6830328 
0833557 


6836785 


6840011 
5843236 
0346459 
6349681 
6852901 
6856120 


16359138 


0802552 
5865768 
6808951 
6872192 
6875402 
0878611 
6831818 


Co-tan. 


Inaex g. 


6784961 


Co-tan. 


3211789 
3208540 
3205292 
3202047 
3198802 
3195500 
3192318 
3189079 
3185840 
3182604 


3179308 
3170135 
3172902 
3169672 
3160443 


3159989 
3150764 
3153541 
3150319 
3147099 
3143880 
3140662 
3137447 
3134232 
3131019 
3127808 


3121389 
3118182 


'T ang. 


Index 10. 
3215039 


3163215 


Natural 
Sine. 


4305111 
4397736 
4310361 
4312986 
4315610 
4318234 
4320857 
4323480 


4326103 
4328726 


4331348 


4333970 
4330591 
4339212 
4341833 


4344453 


4347073 
4349092 


3124598 


4352311 
4354930 


4357548 


4360 166 
4362784 


4565401 
4368018 


1320.4 


137325 


437 5866 


4378482 
4381097 


4383712 


M. 


ö 


Natural 
Co- ſine. 


228. 
9024600 
9023347 
9022093 
9020838 
9919582 
9018325 
9017063 
90158 10 
9014551 
201291 
9012031 
9010770 
9009508 
9008245 
9006982 
9005718 
9004453 
9003187 
9001921 
900965 4 


8399380 
8598117 
8995578 
2994307 


89930;5 


8991762 
8990489 
8989215 
8987940 


Nat. Si. 


8996848 


11 


O — 5 


64 Degrees. 


— 


FF 


25 


—à1ᷓä—— 


Q 


— 


- — — — — 


—ñ iii 7— ð 


— 
—— — ꝗ : ——2 2 E ͤ —— — ů — 
— — 


— 


— 
— 


| 
1 
7 
2 
+ 
* 
| 
1 
| 1 


— — D— 


Table of Artificial Sines, 


1 


26 Degrees. 


* 


r r 


— r 


— 
— — 
00 


SAMNESESISS& ww ok awrrlo 


6474945 
6477492 
6480038 
6482582 
6485124 
0487665 
5490203 


[5492740 


0495274 


Co-ſine. 


6472395 


Co-: ſine. 


Index 9. 


9536602 


9535985 
9535309 
9534751 
9534134 
9533515 
9532879 
9532278 
9531658 
9531038 
9530418 
9529797 
9529175 
9528553 
9527931 


9527308] 


95 20085 


19526061 


9523437 
9524813 
9524188 


9523502 
9522930 


9522310 
9521683 
9521055 
9520428 
9519799 
9519176 
9518541 
9517912 

Sine. | 


Tang. 


Index 9. 


6881318 
0888227 


6394631 


6907422 


6926565 


6929750 
6932934 


0930117 


6948833 


6955183 
0958355 


jCo-tan, 


0885023 
0891430 


0897831 
5901030 
6904226 


6910616 
6913809 
6917000 
6920189 
0923378 


0939298 
6942478 
6945656 


695 2009 


| 


— 


6961527 


Co- tan. 


Index 10 
3118182 


3114977 
3111773 
3108570 
3105369 
3102109 
3098970 
3095774 
3092578 
3089384 
3086191 
308 3000 
3079811 
3076622 
3073435 


3070250 


3067066 
3063883 
3060702 
3057522 


3054344 


3051167 
3047991 
3044817 
3041645 
3038473 
3035303 


Natural 
Sine. 


4383712 


4388940 
4391553 
4394166 
4396779 


1399392 
4402004 
4404616 
4407227 
4409838 


438063201 


Co- ſine. 


Natural 


2981555155 
8980276154 
£97 8996153 
97771515 
8970433 
8975151150 


4412448 
4415058 


4417668 
4420278 
4422887 


4425490 
4428104 
4430712 
4433320 
4435927 


44385 34 
4441140 
4443740 
4440352 
4448957 
4451502 
4454167 
4450771 
4459375 
4401978 
Nat. Co. 


8959703133 


Nat. di. IN 


8973808 
8972584 
8971299 
8g70013[46 
8968727 

8907440 
896615214; 
896486442 
8963575141 
896228540 


896099439 


895541137 
8957118036 
8955924135 
8954529134 
8953234133 
8951938132 
8950041]31 
8949343130 


— 


8 
1 


SHA 
— W 8, 9 


— 


Tangents, and Natural Sines. 


26 Degrees. 


4 


149 


Sine, 


— 
lndex . 


6495274] 9517912; 


6497807 
6500338 
6502868 
5505395 
6507920 
6510444 
6512966 
6515486 
6518004 
6520521 


6523035 
6525548 
6528059 
6530568 
6533075 
0535581 
6538084 
65405 80 
6543086 
6545584 
6548081 
6550575 
655 3068 
6558359 
6558048 
6560536 
6563021 
6565505 
6567987 


Co- ſine. 


Index q. 


9517282 
9516651 
95 16020 
9515389 
9514757 
9514124 
9513492 
9512858 
9512224 
9511590 
9510956 
9510320 
9509685 
9509049 
9508412 
9507775 
9507138 
9506500 
9505861 


95305223 


9504583 
9503944 
9503303 
9502663 
9502022 


9501380 
9500738 
9500095 
9499452 


Tang. 


Index . 
60977303 
69805 26 
6983687 
6986847 
6990006 
6993164 
5996320 
9999474 
7002028 
7005780 
7008930 


7012080 


7015227 


7018374 
7021519 
7024663 
7027805 
7030940 
7034086 
7037225 
7040362 
7043497 
7046632 


7049765 
7052897 
7056027 
7059156 
7062284 
7065419 
7068535 


Co-tan . 


Index 10. 
3022637 


3019477 
3016313 
3013153 
3009994 


3006836 


— — k ꝶ — 


300 3080 
30005 26 
2997372 
2994220 
2991070 
2987920 
2984773 
298 1626 
2978481 
297533” 
2972195 
2969054 
2965914 
2962775 
2959038 
2950503 
2953368 
2950233 
2947105 
294397 3 


2940844 
2937716 
2934590 
2931405 
2928341 


I 
| 


Natural 
Sine. 


4477591 


| 4480192 


4432792 
4485392 
4487992 
4490591 
4493190 
4495789 
4498387 
4500985 
4303582 
4500179 
4508770 
4511372 
4513908 
4510563 
4519158 
4521753 
4524347 
4520941 
4529535 
4532128 
4534721 
4537313 
4539995 


Natural 
Co-fine. 


8941542 
8940239 
8938936 
8937632 
8936327 
8935021 
8933714 
8932406 
8931098 


8928479 
8927169 
8925858 
89245 46 
8923223 
8921920 
8920606 
8919291 
8917975 
8916559 


3915342 
8914024 
8912705 
8911385 


8929789 


8910065 


10 


6570468 
Co- ſine. 


9498 809 
Sine. 


r Li dl. a 


7071659 


Co-tan. | Fang Nat. Co. N 41. 81. 


in th tt 


„„ — 


emp ©) = @ leere eee nt cowl 


63 Degrees. 


_— 


Oz 


— aa 


WP 


_— . —— — DD I —— 


100 


A Table of Artificial Sines, 


27 Degrees. 


— 


00 S2 o 


10 


Sine. 


6580371 
0582842 
6585312 


0595173 


0597034 
6600093 
6602550 


6505005 


0607459 
660991 1 


6612361 


6614810 
6617257 
6619701 
6622145 
6624586 
6627026 
6629464 
6631900 


6634335 
6636768 


6639199 
6641628 


6644056 


Index g. 
6570468 
0572946 


0575423 
0577898 


0587780 
6560246 
6592710 


o-tine. | 


Co-fine. 


9498509 
9498165 
9497521 
9496876 
9490230 
9495585 
9494938 
9494292 
9493645 
9492997 


9491700 
9491051 
9490402 
9489752 


9488450 
9487799 
9487147 
9486495 


9485189 


9483881 
9483227 
9482572 
9481971 
9481260 
9480604 
9479947 
9479259 
dine. 


Index . 


9492349 


7112148 


9489107118358 


9485842 


9484535 [7140051 


| 
Tang. 


Index . 

7071659 
7074781 
7077902 
7081022 
7084141 
7087258 
7090374 
7093458 
7096601 
7099713 
7102824 
7105933 
7109041 


7115254 


7121471 
7124562 
7127662 
7130761 
7133559 
7136956 


7143145 
7146237 
7149329 
7152419 
7155508. 
7158595 
7161682 
7164767 


Co- tan. 


— 
* 


Co tan. 


Iudex lo. 


2928341 


2925219 
2922098 
2918978 
2915559 
£01274: 
2909926 
29065 12 
2903399 
2900287 
2897186 
2894007 
2890959 
2887852 
2384740 
2881042 


2878539 
2875438 
2872338 
2869239 
2866141 


2863044 


2859949 
285685 5 


2853763 
2850671 


2847581 


2844492 
2841405 
2838318 


f 


4555449 
4558038 
4560627 
4563216 
4595804 
4598392 
4572979 
4573566 


4576153U 
4578739 


4581325 
4383910 
4586495 
4589080 


489156. 


4594248 
4599832 
459945 
4601998 
4604580 
4007102 
46097 44 
461232 
4614906 


28352331} 4017486 


Natural 
Co-fine, 


8900802 
8899476 
8898149 
8896821 


88821 
88808 29 
8879492 
8878154 
8876815 


8875475 
8874134 
8872793 
8871451 
8870108 
Nat. St 


— 


Pang. II Nat. Co. 


62 Degrees, 


- — « VP 


io 


” 4 
oe, - * 


Tangents, and Natural Sines. 


| 


27 Degrees. 


| 6661001 

6663415 
6665 828 
6668238 
6670647 
6673054 
6675459 
6677863 
16680265 


716685064 
6687461 


6697032 


5416701807 
67 704192 


5516711338 


Co-ſi ne. 


25169585 85 


1616682665 19468707 


6689856 
6692250 
106694642 
6699420 
6706576 
5708958 
5910713716, 


Co- ſine. 


Index 9. 


9479289 
9478631 
9477973 
9477314 
9476655 
9475995 


9475335 
9474074 
9474013 
9473352 


9472027 
9471364 
9470709 
9470036 
9409372 


946804 2 
9407 370 
9466 


9465375 
9464708 
9464040 
9403371 


9402032 
9451362 


| Sine, 


9472639]]7 


710 
940004 3 


r 


Tang. 


Index q. 


7164757 


716785) 
7179933 
7174014 
7177094 


7180173 


7183251 
7186327 
7189402 
7192476 

7195549 
7198620 
7201690 


7204759 
7207827 


7210893 


7243958 
7217022 
7220085 


7223147 


7226207 


7229200 
7232324 
7235381 
7238436 


7241400 


7244543 
7247595 


9460692 7250646 
94600210725 3095 
6716093 9459349},7 256744 
Co- tan. 


N Co-t an . 


index 10. 


2832149 
2829067 


2825988 
2822906 


2816749 
2813673 


2810598 
2807524 


| $#01.300 
2798309 
2795241 
2792173 
2789107 


— 


2835233 


2819827 


2804451 


2786242 
2782978 
2779915 
2770053 
2773793 
2770734 
| 2767070 
2764619 
2761564 


2752405 
2749354 
2740305 


Tang. 


—_ 


Natural 
Sine. 


4617 486 


4620066 


4622646 


4625225 


4627804 
4630382 
4032960 


4635538 
4638115 
4640692 


4043269 
4945545; 


4648421 


4953571 
4556145 


4661293 


4666439 


2758510 
2755457 


4671584 
4074150 
4676727 
4679298 


4084439 
4087009 
4689578 
4692147 
4094716 


2743250 


Nat. Co. 


4050996! 


4058719 
4663866 


4669012 


4681859 


cw 
Co-fine. | 


„ 


12 


3870108 
8868764 
8867420 
886607 5 
8864729 
8863383 
8802036 
8860688 
3959339 
8857989 
8856639 
885528819 
1885 3936 
8852583 
885 1230 
8849876 
8848521 
8847166 
8345810 
844453 
8843095 
8841730 
8840377 
8839017 
(3837656 
88 36294 


8834932 
8833569. 
8832205 
8830841 
8829476 
Nat. 81. 


ee 


to 0d {233 
FJ LEICA 


4 K 


Klo NN vw 


— 


62 Degrees. 


— 


— * n 


n E. 


— 


— AA —_ * „ 


| 


A Table of Artificial Sines, 


28 Deprees. 


hor > wa tv lo 


\O pw & 


Sine. 


Tndex Qs 
6716093 
6718408 
6720841 
6623213 
6725583 
0727952 
6730219 
6732684 
0735047 
6737409 
6739769 
6742128 
6744485 
6746840 
6749194 
6751546 
6753896 
6756245 
6758592 
6760937 
6763281 
6765623 
6767963 
6770302 
6772640 
6774975 
6777 309 
6779642 
6781972 
6784301 
6786629 


Cor ſine. 


Co- ſine. 


Index 9g. 
9459349 


9458677 
945800 


9457332 


9456659 
9455985 
9455310 
9454536 
945 3950 
9453285 
9452609 
9451932 
9451255 
9450577 
9449399 
9449220 
9448541 
9447862 
9447182 
9446501 


[9445821 


9445139 
9444457 
9443775 
9443092 
9442409 
9441725 
9441042 
9449356 
9439071 
9438985 


Sine. 


| Co-tan. | 


Tang. Co- tan. 


Index q. Index 10. 
28284252288 
725979102740209 
72628360 2737163 
726588 12734119 
726892512731075 


7271967|2728033 
7275008127 24992 
7278048|2721952 
7281087|[2718913 
7284124|2715876 
728716102712839 


7290 19602709804 
7293230027067 70 
729626302703737 
729929512700705 
7302325 2697075 
7395354|2694046 
308383|2691617 
7311410|2688590 
7314436|26085504 
7317460|2682540 


732048426795 16 
73235060 2676494 
73265271207 3473 
732954712670453 
7332506] 2007434 
7335584|2604410 
7338601|2661399 
73 4161602658384 
734463 102655369 
7347644|2652350 
Tang. | 


Natural 


Sine. 


Natural 
Co- fine. 


—— —ů— 


49947 1618829476 


4597284 
4699852 


8828110 
88 26743 


4702419882537 
4704986882400) 


4797553 


4710119 8821268 


4712685 


8822638 


4715250[8818527 


4717815 


4720380|[8815782 
4722944[5514409 


4725508 


4728071 


8813035 


4730634|8810284 
4733197 8808907 


4735759|8807530 


4738321 


8806152 


47408820 8804773 


4743443 


8803394 


424500488 02014 
4748 564/8800633 
475 11248799251 


4753683 
4750242 
4758801 
4701359 
4763917 


(8795102 


8793717 
8792332 


4766474|87909:0 


4769031 
4771588 


Nat. Co. 


8789559 
8788171 


Nat. Si. 


61 Degrees. 


— Oh OS RS — no 
— — —— — — 2 


r | tt. | - 


— — * ISM && ————— —— — 


SRI Vn VF RY XX UT. ng en e Tow wy on Wy  HHWy —— ee 


1 —— 


reer 


Tangents, and Natural Sines. 


— 


103 


28 Degrees. 


6800560 
6802877 
6805191 


10807504 


6809816 


216812126 


5814434 
6810741 


6819046 
19821349 
5823651 
6825952 
6828250 
[0830548 
(0832843 
6835137 
(9837430 
10839720 
6842010 
6844297 
[68465 8 


6851151 
0853432 
0355713 


C0 _ ICo-fine. 


Co-ſine. Tang. 


Index g. 


Index 9. 
9438982347644 


9438299 
9437012 
9430925 
9430238 
9435549 


9434801 
9434172 
9433482 
9432792 
9432102 


9431411 
9430720 


7350656 
7353667 
7356677 


7359685 


7362693 
7365699 
7368705 
7371709 
7374712 
7377714 
7380715 
7383714 


9430028||7386713 
9+29335}} 7389710 


9423043 
9427949 
9427255 
9426561 
9425866 


9425171 


9424470 
9423779 
9423083 
9422386 
9421688 


[392707 
739572 
7398696 
7401689 
7404681 
7497672 
741066 2 
7413650 
7416638 
7419624 
1 1 


39420990 
5716848868 


9420291 
9419592 
9418893 


9413193 


Sine, 


7425594 
7428577 
7431559 
7434540 
7437520 
Co-ran, 


Co-tan. 


Index 10. 
2652356 


2649344 
2646333 
2643323 
2640315 
2637307 
2034301 
2031295 
2628291 
2625288 
2622286 
2019285 
2616280 
2613287 
2610290 
2607293 
2604298 
2601304 
2598311 
2395319 
2592328 
2589338 
2586350 
2583362 
2580376 
2577391 


2574400 
2571403 
2568441 
2565450 
2562480 


| Tang, 


[4784364 


* 


47920268 


Jat. Co. 


Natural 
Sine. 


| 
4771588 
4774144 
4779700 


4779255 
4781810 


4780918 
47359472 


4794579 
4797131 
4799683 
4802235 
4804785 
4807337 
189888 
4812438 
4814988 


4317537 
4820086 


4822634 


— — — .- _ — 


4825182 
4827730 
4830277 
4832824 
4835370 
4837916 
4840462 
4843007 
4845552 
48 48096 


[Natural | 
[Co: ſine. 


8788171 
8786783 
8785394 
5784004 
8782613 
8781222 


8779830 
377557 
777043 
9775049 


8772858 
8771461 
8770064 
8768666, 
8767267 
8765868 
8704468 


8761665 
8760262 


8759959 
8756030 
5754045 

8283229 
8751832 
8750424 
8749016 
87476 
87246197 


8763067 


8774254 


Nat. Si di. 


— 


to 
oo 


10 


| is — o eos | 


61 Degrees. 


1 


1 


A Table of Artificial Sinet, 


29 Degrees. 


= 


—_ * 


LS 


O OW 2 HOPES dd * 


1 


Index g. 

6855712 
6857991 
6860267 
6862542 
6864816 
6867088 


6869359 
6871628 


6873895 
0876101 
6878425 
6880688 
6882949 
6885 209 
6857467 
6589723 
0391978 
6894232 
689648 5 
6898734 
6900983 
0903231 
6905476 
6907721 
6909964 
6912205 
0914445 
0916683 
6918919 
6921155 
6923388 


Sine. 


Co- ſine. 
Index . 


9417492 
9416791 
9416090 
9415388 
9414085 
9413982 
9413279 
9412575 
9411871 


9411166 


- 


9410461 
9409755 
9409945 
9408342 
9497032 
9400927 
9406219 
94055 10 
9404801 
9404091 
9403381 
9402670 
9401959 
9401248 
9400535 
9399823 
9399110 
9398390 
9397082 


| 


Co une. 


Bine. 


2418193 


9396968 


Tang. 


Index g. 


7427520 
7440499 
7443470 
7440453 
7449428 
7452403 
7455370 
7458349 
7461320 
7464290 
7497259 
7470227 
7473194 
7470160 
7479125 
7482089 
7485052 
7488013 
7490974 
7493934 
7490892 
7499550 
7502800 
7505762 
7508716 
7511669 
7514022 
7517573 
7520523 
7323472 
7520420 


Tang 


Co- tan. || Natural 


Index 10. 
2562480 


2359501 
2550524 
2553547 
2550572 
2547597 
2544024 
2541651 
25 38680 
2535710 
2532741 


2529773 
25 26806 


25 23840 


Sine. 


4848906 


4850049 
4353184 


4855720 


4858270 
4860812 


4803354 
4805895 
4868436 
4870976 
4873817 
4370057 
4878597 
4881136 


2520875 [4883674 


2517911 
2514945 
2511987 
2509026 
2506066 
2503108 


£497 94 
2494238 
2491284 
2488321 
2485378 
2482427 
2479177 
2470528 
2473580 


212 


4886 


4891287 
4893824 
4896361 


4901433 
4903968 
4900503 
4999937 


4914105 
4916638 
14919171 
1921704 


Nat. Co. 


4888750 


4898897 
2500150 


211571 


[1226255 


8730040 
8729221 
8727801 
8720381 
8724960 
8723538 
8722116 
8720693 
8719209 
8717844 
8710419 


8713566 


709251 
8707851 
8706420 


[Nat. Si. 


871499313 


87121395 
8710713; 


8704989 
8703557 


60 Degrees. 


— 1— — — — wo 


1 1—— Wh wh 


— 


Jangente, and Natural Sines. 10 5 


3 


29 Degrees. 


#4 &# 


——_—_—_ 


| * 
Sine. Co-fne. | Tang, |Co-tan, Natural Natural 
Sine. | Co-ſinc. 


— 


Index 9+ | Index g. || Index 9. | Index 10. | | 
101692338819 3969687 520420]247353014924236|8703557|39 
51 6925620 9396253 07529368 2470632 4926767 [8702124029 
32692785 1939553775 323142467686 49292980870069028 
3309 008093948 2107535259 24647410493 1829 8699256277 
3493230893940 [7538203 2461797 [493435908697 821026 
35109345 34[939333817 541140 [2458854 [49 3688918696385 |25 
366936758 939207 1| 7544988 |2455912114939419]8694949| 24 
7693898 193919537547029 [2452971]4941948[8693512[23 
3806941 20309391234 7549969 [2450031 [4944477 8692074|22 
19]16943423[93995 15755 908 [2447091 [4947005|8690635|21 
4016945042 9389790 7355840 [2414145 |4949533|8689196|20 1 
4694785909389 70117558783 [2441217 | 4952060|8687756|19 } 
421695007419388336{[|7501718 [2438282|4954587 868631518 1 
431695 2288193876351175040531[2435347 [4957113]8684873|17 H 
4416954501]93859141[7507587|2432413}4959639 8683431 16 1 
069567 129386192 0220820242948 4962165 868198815 
466958922 9385476757345 2426548 4964690|8680544)14 
4715961130 93547 47 7576383 2423617 4907215 8679 10013 
18069633369384024½ 5793132420687 4969740867765512 
19.6965 5419383 30007582242 241775 849722648676 209 11 
$91696774519382576117585172[241433011497478718674762 
5106959947938 185 17588095 |2411904||4977310|8673314 
269721480938 1127½75910222408978 49798330867 1866 
3069743479 380 7593947 240605 31[4982355]8670417 
; 541097054519379974117590871[249312911498487718668967 
$51997874119278947117599794|2499200114937 39918667 :17 
4 5616980936 9378220 760027 i0|2397284i149899 :0|8666005 
g 719983129193774921[7505637]2394363|[4992441[8654614 
| WI 651595 321193757047503; 57] 2391443 [4994901 [8663 161 
0 9 .69375119375035761147623885 2499748 108661708 
i 269 89 20 [932802514394 2385605 |[5000000[866025 4 


— Co- une. | Sinz. Cos tau. Tang. 


Nat. Co. [Nat. Si. 


bon Qu 5 


Slo- 882 


| 


60 Degrees. 


P 


= , — : 


A Table of Artificial Sines, 


n nn 


SY 


30 Degrees. 


ft 
Sine. 


Index 9. 

6989700 
6991887 
099407 3 
6996258 
6998441 
7000622 


7002802 
7004981 
7007158 
290913 
7011508 


Co- ſine. 


Index 9. 
9375396 
9374577 
9373847 
9373116 
9372385 
9371053 
9379921 
9370189 
9369456 
9368722 


7013681 
7015852 
7018022 
7020190 
7022357 
7024523 
7026687 
7028849 
703ZIO1I 
7933170 
1035329 
7037480 
703964 
7041795 
284324 
7040-99 
7048248 
7050397 
7052543 
7954089 


9307908 
9307254 
9366519 
9365783 
9303047 
9304311 


| 


Tang: 


Ina: x 9 

7014394 
7617311 
7620227 
7623142 
7626056 
7628909 
7631881 
7634792 
7037792 
7640912 
7643520 


— 


Co-tan, | 
| 
Tndex 10. 
2385606 
2382689 
2379773 
2370858 
2373944 
2371031 
2368119 
2365208 
2362298 
2352338 
2356480 


7040427 
7049334 
7652239 
7655143 
765 £047 


9363574 


956283 
9362098 


9361360 
9360021 


9359881 
9359141 
9355401 
9357000 
9350177 
9355434 
9354091 
9353948 
9353204 


a 
Co- {1 ne. 


ine. 


7060949 


64766385 1 


2666751 
7669651 
7072550 
7075448 
7078344 
7681240 
7084135 
7907020 
7689922 
7692814 
7295705 
7098590 
7701485 
Co-tan. 


2353573 
2350666 
2347761 
2344857 
2341953 
2339051 
2336149 
2333249 
2330349 
#3274450 
2324552 
2321656 
2318760 
2315865 
2312971 
2310078 
2307186 
2304295 
2301404 
2298515 


1 


Natural 
Sine. 


5000000 
5002519 
5005038 
5007556 
$ 010074 
5012591 
5015108 
5017624 
5020140 
502265 5 


5025 170 


5027085 
5030199 
$0327.13 
3933 #27 


$037740 


5040253 
5042705 
5045277 
5047788 
8850299 
505 2809 
5055319 
5057828 
5000337 


5062846 


5065355 
5067863 
5070370 
5072877 
597 53%4 
Nat.Co. 


| 


Natural 
Co-line, 


8660254 


8058799 
8657343 
8655887 
8654430 
8052972 

8051514]; 
3650055]; 
864859505 
8047134 
8045673 
8644211 
8642748 
8641284 
8639820 
8038355 
8636889 
8035423 
8633930 
8632488 
8631019 
8029549 
8628079 
8626608 
8625 136 
862306435 
8622191 
8620717 
8619243 
8617708 
8616292| 


Nat. di. 


59 Deprees. - 


Tangents, and Natural Sines. 107 


30 Degrees. 


| 


M Sine. | Co-ſine. Tang. Co- tap. Natural] Natural 


Sine. [Co- ſine. 


Pr —  — 


oi «oe 


Index g. Index 9. Fade 9. Index 10. 
$0|70564689|19353204 7701485|2298515 | 5075384|8616292[30 
41]705083319352459]7724373 229;3627||5077890|8614815[29 
1217058975|93517151770726112292739|5080396|8613337 28 
3317061110 93509969]}7710147|2289853]5032901|8611859 27 
3470632869350223 7713033 2286957 5085406 861038026 
5[7065394[9349477 [7715917 |2284083[5087910|8608900|25 
3617067531193487 30] 7718891|22811995090414 8607420124 
37 7069567 [93479837721684/2278316809 2918860593923 
380707 180109347235[77245662275434J/509542 10869445722 
39.707 3931093464867727447 22725530509 924860297421 
esse 223 [7739327 220967 3þ U 742125 
| 107078 1949344988 [773320 22667945 102928 8600007 19 
2 7080323934238 [773608422639165105429859852218 
63708 24509343488 [7738961 22610395 107930 [859703717 
47084575[93427370774183802258162]51104310[D859555116 
60.286699 934198617744713|225528-[5112931 1859406415 
46|708882219341234|7747589 2252412||5115431 859257614 
4717090943 9340482775462 2249538517930 0859 108813 
8.093063 9339729 7753334/ 22466665 1204298, 8959912 
497095 182 9338975775520 2243794|}5122927|8588109j11 
$0]7097 299] 9338 :221}7759977[224092315125425|8586615[10 
$11709941519337407 [7721947223805 3]5127922|8585127]| 9 
c2[7101529]19336713]7704816[2235184||5130419|8533635| 8 
:31710364219335957 7767685 [2232315] 5132910|8522142] 7 
54[710575 319335201 [7770552[2229445|513541218;80049| 6 
5517107863[933444@17773418| 2220581513790 [Be7g155| 5 
567709972 9335688 7775287 22237160 5140404 [8577060] 4 
3 

2 

7 

O0 

M 


— 
— 


— — 


_— 


— — — — 


= — 
—ͤ— 5 


2 —— — ö — — — — — NN 


— 


771120809 33293 107779149 2z22085 105 1428998576164 
58071141869 3321737782012]221798805 1452938574668 
71102g019331415 |7784875|2215125]5147887|3573171 
7118393]19330655|778>737|2212263]515038118571i673 
Co-une. | Sine. [Co- tan Tan [Nat. Co, [Nat. Si. 


— 


- _— 


| nl O — » + I Cn 89903 | > =» e e 
* 
— 


59 Degrees. 1 


N TE : 


bong ras Zed ik oa KK. A. 


"24 


A Table of Artificial Sines, 


31 Degrees. 


— 


O ow Oulu 4 ww da =lo 


110 


Sine. 


Index q. 
7118393 
7120495 
7122596 
7124695 
7126792 
7128889 
7130983 
7133077 


7135169 
7137260 


[7139349 


7141437 
7143524 
7145609 
7147693 
7149770 
7151857 
7153937 
7156015 
715 8092 
7160168 
7162243 
7164316 
7166387 
7168458 
7170926 
7172594 
717 4660 
7176725 
7178789 
7180851 


* 
Co- une. 


Index q. 

9330656 
9329897 
9329137 
9328376 
9327616 
9320854 
9326092 
9325330 
9324567 
9323804 
9323040 
9322276 
9321511 
9320746 
9319980 
9319213 
9318447 
9317679 
9316911 
9316143 
9315373 
9314605 
9313835 
9313065 
9312294 
93115822 
9310750 
9309978 
9309 205 
9308432 
9307058 


dine. 


— 


| Co-ſine. || Tang. 


Index 9g. 
2287737 


7790599 
7793459 
7796318 
7799177 


7802034 


7804891 
7807747 
7810602 


7813456 
78 16309 
7819162 
782201 
7824864 
7827713 
7830562 
7833410 
7836258 
7839104 
7841949 


7844794 


7847038 
7850481 
7853323 
7856164 
7859004 
7861844 
7864682 
7867520 
7870357 


7873193 


Co-tan. 


Co- tan. 


Index 10. 
2212263 


2209401 
2206541 
2203682 
2200823 
2197955 
2195109 
2192253 
2189398 
2186544 
2183691 
2180838 


312177987 


2175136 
2172287 
2169438 
2165590 
2163742 
2160896 
215 8051 
215 5 206 


2152362 
2149519 
2146677 
2143836 


2140996 $212579 


2138156 
2135318 
2132480 
2129643 


2126807 


Tang. 


5195191 


377311 


Nat. Co. 


Natural 
Sine. 


5150381 


5152874 
5155367 
5157859 
5160351 
5162842 
5105333 
5167824. 
5170314 
5172804 
$175293 
5177782 
5180270 
5182758 
5185246 
$187732 
5190219 
5192705 


5197070 
5200161 
5202646 
5205130 
5207613 
5210097 


5215061 


5220024 
5222505 
5224986 


” #® 


Natural 
Co- fine, 


8821.23 


—_—— —  — 


8570174 


8558675; 


856775 
8505674 
85423 


856267115 
35611680; 


85 5956 


35581603 


8550655 
8555149 


85536424) 


855213; 
85 50627 
8549118 
854709 


5545099 4: 


5544585 
8543076 
$541504 
854005 | 
8538537 
8537023 
8535505 


8533992135 


8532475 
8530958 
8529449 
S$527921 
85 20402 


Nat. Si. 


— — 812 
SLOT 0 oC 


WS — 
— 2 


— 
82 x 


LY WHT i” 
—ä— Gs 


79 


58 Degrees. 


9 


Tangents, and Natural Sines. 


109 


31 Degrees. 


7 


Sine. 


— — — 


Index g. 
7180851 
7182912 
7184971 
7187030 
7189086 


3517191142 


7193190 
1195249 
7197390 
7199350 
[201399 
7203447 
7205493 
7207538 
7209581 
4317211623 
7213604 
7215704 


Co-ſine. 


Index 9. 
9307058 
9306883 
9306 109 


9305333 
9394550 
9303781 
9303004 
+ ni 
9391448 

9300970 

9299881 
9299112 
9298332 
9297551 
9296770 
9295939 
9295 207 
9294424 


Tang. 


Index . 

7873193 
7876028 
7878862 
7881696 
78845 29 
7887361 
7890192 
7893023 
7895852 

789868 
7901508 
7904335 
7907161 
7909987 
79012811 
79t 5635 


7918458 
7921280 


Co-tan. 


Index 10. 
2126807 


2123972 
2121137 


2118304 
2115471 
2112639 
2109808 
2106977 
2104148 
2101319 
2098492 
2095665 
2092839 
2090013 
2087189 
2084365 
2081542 
20787 20 


Hi. Md 


Natural 
Sine, 


5224986 


5227460 
5229945 
5232424 
5234903 
5237381 
5239859 
5242330 
5244813 
5247290 
5249706 
5252241 
5254716 
5257191 
5259665 


3202139 


52046012 
5267085 


i. 4 


Natural 
Co- ſine. 


— 
85 26402 
85 24881 
85 23360 
8521838 
85 20316 
8818293 
8517269 


8515744 


8514219 
8512693 
8511166 
8509639 
8508111 
8506582 
8505052 
8503522 


8501991 
8500459 


* — — — —— — 0 - — — 
So... 2 — iS 2 —_ — 


207589952695 58 
2073079 5272030 
ee 
72067847775 
20646225 279444 
2061805 [f281914 
205 89895284384 
20566173 05286853 
2053359|52589322 
2059545591790 
2047 7325294258 
20449195 296726 
2042108 529 299192 | 
Vang. Na N at. Co. 


8498926 


8497394 
8495860 


8494325 
8492790 
8491254 
3439717 
8438179 
3450041 
. 

8483562 
8482022 
8489481 


Tat. Sr. 81. 


79024101 
7920921 
7929741 
7932560 
7935378 
7938195 
7941011 
7943827 
7940041 
7949455 
7952208 
7955081 
7957892 


Co-tan . 


9293641 
9292857 
9292073 
92912909 
9290504 
9289718 
9288932 
9288145 
9287358 
9280571 
9285783 
9284994 
9284205 
Sine. 


7217742 
7219779 
7221814 
7223848 
7225881 
7227913 
7229943 
2217231972 
7234000 
7236026 
53917238051 
7240075 
7242097 
'Co-fine. 


l e SSIS 5 — 8.8 | 


1 — — ow ww. ch DW T0 en d "EY = err 


58 Degrees. l 


110 


A Table of Artificial Sines, 


32 Degrees. 


— 


= 


80 00 as td AY FS 


Sine, 
Index q. 


72 


7264257 


7270273 


7274278 
7276278 
7278277 
7280275 
7282271 


7286260 
7288253 
7290245 
7292434 
7294223 
7296211 
7298197 
7300182 
7 
Co- ſine. 


7242097 
128 
7240138 
7248156 
7250174 
7252189]19280251 
7254204 
7256217 
7258229 
7260240 
7262249 


7266264 
7268269 


7272276 


7284267 


——_ 4 


Co-fine, 


Index g. 
9284205 
9283415 
9282625 


9281834 
9281043 


9279459 
9278666 
9277873 
9277079 
9276285 
9275490 
9274095 
9273899 
9273103 
9272306 
9271509 


9269913 


9267514 
9266714 
9265913 
9265112 
9264310 
9203507 
9262704 
9261901 
9261096 
9260292 
| Sine. 


Tang. 


Index q. 
7957892 
7900703 
7903513 
7966322 
7969130 
2971938 
1974745 
1977552 
7980356 
7983160 
7985954 
7988707 
7991569 
1994370 
1997170 
71999970 
8002709 
8005 567 
8008 205 
8011161 
8013957 
8016752 
80 19546 
8222340 
8025133 
8027925 
80307 i6 
(8033596 
; 8020296 
8039085 


Index 10. 
2042108 
2039297 
2036487 
2033678 
2030870 
2028062 


2025255 


2022449 
2019644 
2016840 
20 14036 
2011233 
2008431 
2005 630 
2002830 
2000030 


1997231 
1994433 
1991635 
1938839 
1985043 
1983248 
980454 
1977660 
1974867 
1972075 
1909284 
1960494 
1963704 
1960915 


8041873 


Co-tan. 


1958127 
Lang. 


Co-tan. Natural 


Sine. 


5299193 


5301659 
5304125 
5300591 
5309056 
5311521 
5313986 
5316450 
5318913 
5321376 


532333918 


5326301 
5328703 
5331224 
5333685 


533014518 


5338605 
5341004 
5343523 
5345982 
5345440 
5350898 
5353355 
5355812 
5358268 
5300724 
5303179 
5365634 
5368088 
5370542 


| 


| 
Natural 


Co-fine, 


8480481 


8478939 


8477396 
8475853 
8474309 
847 2764 
8471219 
8469673 
8468126 
8466578 


584557235 
5454172 
845 2618 
845 1063 
1252805 
8447952 
8446395 
8444837 
8443279 
8441720 
8440100 
8438600 
8437039 
8435477 
8433914 


—— 


Nat. Si. 


57 Degrees. 


Nat. Co. 


I o D 


T angents, and Natural Sines. 111 
— — — 


32 Degrees. 


* 


1 —— 


MI Sine. | Co-fine, Tang. Co- tan. Natural Natural 


: Sine, | Co-fine. 
Index 9. Index 9 Index g. Index 10. | 5 
. 307302165 9260292 0[804187301958127[537299608433914 38 
| 517304748 9259787 80446611955 3395375449 843235129 
ö 
) 


3230012992586 1804744719525 5353779028430787 28 
33.7308 1099257875 8050233 1949767 3803548429222) 
3473 1008792570985 30191945981 53 8280608427657 26 
35[731206+4|9250261]]805 58031944197 [8282842509125 
36]7314949[9255454[8058587[1941413115357708|84245 2424 
3773160159 254646806 13701938630 5390158842295623 
3867317989 9253837 [8064152193 5848 539260818 4213881022 
39731996195 3028||8066933[1933067[5395058|5419819]21 
47321932 9282218080697 141930286392 597 841824920 


4½% 323902925 1408 [80724941927 5065399955 8416679 19 
42[7325870[9250597|[8075273[19247275492490313415108|18 
131732783719249786||8078052[1921948|549485118413536[17 
14]7329803|[9248974||808082g9|191917115407298]8411963[16 
451733176819248161||8083606 1918304449748 8410390 15 
46733373109247349 80806383 1913617[56412191084088 1614 
4 733569309246535[808915801910842 5414537 [8407241113 
8733765492457 2108091933 190806747082 840566612 
49]7339614[9244907 809471905293 5419527 [S404 
501734157219244092[8097480[19025201|542197118402513]10 
5117 34352919243277 ||8100253]1899747115424415|8400935 
52'345485|9242461/|$103025|1896975||5420859[8399357 
$317347440[9241644 |8195796|1894204[|5429302[$397778 
5417 3493931924082 7||8108566[1891434{\|5431744|3 396198 
557351345 8 1888604115434186|[8394618 
5617353296[9239191!||8114105|1885895|[5430028[8393037 
71735524619238373 1811687 3|1883127115439909|8391455 
38173571951[9237554 [8119641|[18803581[3441510]8389873. 
5917359142(92367 34 [$122408|18775921\5443950|8388290 
6017 361088[9235914 [8125174 — 4403908386706 

3 Sine. ICo-tan. 1 ang. Nat. Co. Nat. 81 


1 
1 
* 
11 
11 
11 
11 
11 
14 
14 
i 
| 
' 


——_— 


_— 
12 wr 
— 
_ 8 
— 4 ˙ MALL AD Yo. 


o — 8 an 0 


4 
Fg 


i 


_— — 
32 — — * 
— — _ * _ 


| 57 Degrees. 


* * — 


A Table of Artificial Sines; 


33 Degrees. 


© ww o 


IO 


Sine, 


Index 9. 
7361088 


7303032 
7364976 
7366918 
7368859 
1372/99 
7372737 
7374075 
73700611 
7378546 


7380479 


7382412 
7384343 


7386273 
7388201 


15]7390129 


7392055 
7393980 
7395904 
7397827 


oe A8 


Index g. 


9235914 
99 33093 
92342782 
9733450 
9232028 
9231805 
9230982 
9230158 
9829334 
9228509 


9226858 
9226032 
9225205 
9234377 
95-3549 
9222721 
9221891 
9221062 
9220232 


2227488921940 


7401668 
7403587 
7405505 
7407421 
7429337 
7411251 
7413164 
7415075 
7416986 


Co- line. 


— — — — 


7418895 


9218570 
92177358 
9216906 
9216073 


9215240 


9227084 


Tang. 


Der 9. 
8125174 
8127939 
8130704 
8133469 
8136231 
8138993 
8141755 
81445 16 
8147277 
8150036 
8152795 
$155554 
8158311 
8161068 
8163824 
8 1665 80 


8169335 
8172089 
8174842 
8177595 
8180347 


8185849 
3188599 
8191348 


24095 


921440008 196844 


9213572|5199592 


9212737f8202338 


1 


g9211902f|8205084 
92110560820 829 
Sine, [Co- tan. 


Co- tan. 


1874826 
187206 
1869296 
18605 32 
1863769 
1861007 
1858245 
1855484 
1852723 
1849964 
1847205 
1844440 
1841689 
1838932 
1836176 
1833420 


1827911 
1825158 


mmm ͤ:u—m—UꝛʃB—4 
Index 10. 


1830665 


Natural 
Co-line, 


——ñ 


8386706 


218385121 


83835 36 
8381959 
8380363 


54555392[8378775 


5473198 
5475032 
5478066 
5480499 
9432932 
5485365 
5487797 
5490228 


1822405 


1819553 
8183098 


1810902 
1814151 
1811401 
1380805 2 


1805904 
1803156 
1800408 
1797662 
1794916 
1792171 


5492659 


5495090 


897718) 


8375598 
8374008 
8372418 


8309235 
8307643 
8366050 
8364456 
8362861 
8261266 
8359570 
8358073 
8350470 
3354875 


5497520;8353279 
5499958351680 
550237983500 


5504808 
5597236 
5509664 
5512091 
5514518, 
5510944 
5519370 


8348479 


8345275 
8343072 
8 34.2008 
8340463 


8370827 


8340877 


8338858 
Tang. Nat. Co.] Nat. oi. 


| 
6ol 
99 
bh 


56 Degrees. 


— 


br. r . . . n . [at 


— 


Tangents, and Natural Sines. — 3 


. * 
mn - am. @*® 8 " * * 


33 Degrees. 


1 


7 
MI Sine. Co-ſine. | Tang. | Co-tan. || Natural | Natural 


Sine. | Co-fine. 


Index 9- 22 9. 1 5. 'tx 9. Index 10. 
$0[7418895|9211056} 8207829|17921711}551937013338858130 
311742080319219229 8210574 i7894:0]5521795|83372521j29 
3217422710 9209393 82123171785583 155 242208335645 [28 
| 32 7424610 g208;551\8216060|178391o]552546451|8334038|27 
| 3474265 209207717 8218803178119 [552906983 3243026 
35174284239 20608751182215451177845515531492[83308-1125 
30]7439325192002391| 5224250 1775714 05533915 8391224 
774322269205 200082 270261772973 5536338 8327602 |23 
1817434126]9204360[|8229706|1770234||5538760[8325591122] 
19]17430024|9203519]|3232505[1707495|554118218324330[21 
| 40[7437921|9202678||823524411704756]554260313322768 20 
| 41 74398 170% 201830 8237981175209 554 6024. 832115519 
42174417121920099 f 8240019175928 554444](88 1954718 
431744 3606[9200151118243455|1750545||555086413317927|17 
4417445498]9199398[18246191]1753809]5553283[8316312[16 
4517447 390 9198464008 248926 2584055585782 8314696 15 
467449280[9197619/825 166017483 4005558 1210831307914 
47[7451169191907751825439 [1745906] 35505 3918311462[13 
I2 

11 

10 

9 

8 

7 

6 

MN 

4 


48]74530501919;929}|8257127[1742873||5562956|[8309844 
191745494319195083 8259860 1740140 5565 37318308226 
| 50[7456823]91942371}8204592|1737405||5567750|8306607 

51]7458712[9193390[|826;32311734077||5570206|8204g87 
52]74605395[91925421826805311731947||557 26218303366 
$317462477191916941|8270783 17:9216 5575036 8301745 
54]74604358[9190845||827351;11720487||5577451|8300123 
5517406237 [9189999[[8270241117237595579865|8298500 
55 N 918974008 2789091721031 5582279 8296876 
57 7469992[918829 9/828 19961718304 5584692 9295252 3 
587471868 [9187445[828442311715577 [5587105893627 2 
$917473743]91505941[8287149]171.851|5589517|8292002| 1 
6017475617[91857421|8289874| 17 101265591929182903-6| © 4 
Co-line. Sine. Co-tan 1 ang. ' Nat. Co. Nat. Fr. i | 


| EEC | 


— — —_ 


121 — to Pt ud wm OS... 


56 Degrees, 1 


| 11 5 ( 1 


* th 
* * — _— 


114 


A Table of Artificial Sines, 


34 Degrees. 


_ 


— — ttc. ww. 4 


Lak A 0 210 


= 


Sine. 


Index g. 
7475017 
7477489 
7479300 
7481230 
7483099 
7484967 
7486833 
7488699 
7490562 
7492425 
2424287 
7496148 
7498007 


7501723 


22175923579 


7595434 
7507287 
7509140 
7510991 
7512842 
7514691 
7516538 
7518385 
7520231 
7522075 
7523919 
7525701 
7527602 
7529442 
7531280 


Co- ſine. 


7499866 


Duca g. 
9185742 
9184890 
9154037 
9183183 
9182329 
9181425 
9180620 
9179704 
9178908 
9178051 
9177194 
9176330 
9175478 
9174619 
9173700 
g17 2900 
9172040 
9171779 
9170317 
9169455 
9108593 
9167730 
9166866 
9166002 
9165137 
9164272 
9163406 
9162539 
9161673 
9160805 
9159937 


Sine. 


Co- ſine.] Tang. 


Peder 9. 
8289874 


8292599 
8295323 
8298047 


3300769 
8301492 
8306213 
8308934 
8311654 
8314374 
3317 93 
8319811 
8322529 
8325 246 
8327963 
8330679 
8333394 
8336109 
8338823 
8341536 
8344249 
8340901 
8349673 
5352384 
8355094 
8357804 
83605 13 


8363221 


8365929 
8368636 


8321342 


Co- tan . 


Co: tan. 


1710126 


1707401 
1704077 
(£01953 
«09923 1 
1696508 


1691056 
1688346 
1685626 


1680189 


1677471 
1074754 
1672037 


1663891 
1661177 
1658464 
1055751 
1053039 
1650327 
1647616 
1644906 


1636779 
1634071 
1631364 
1628657 


Tang 


mn 


[| 


| —— 
Index 10. 


1093787115 


1682907 


1669321 
1666606 


Natural 
Sine. 


— ͤ — — 


5591929 
5594340 
5596751 
5599161 
5601571 


nnr 


15203981 
908280603 34 


503045 3 


5632857 
5635260 


1639487115 


5637663 
5640065 
5642467 
5644869 


5047270 


5549670 
5652070 


5656868 


5659267 
5661665 
5664062 


Nat.Co. 


[Co: ſine. 


nm 


Natural 


[27497452 


054469 


$290376[60 
92887490 
8287121058 
828540305 
828386456 
8282234155] 


827897203; 
8277340 52 
82757051 


827244040 
827080548 
8209170147] 
8267534|46 
8265897 45 
82064200 

2263622 4 
826098342 
82593430 
8257703140 
8256062139 


824290931 
8241202130 


Nat. di. IM 


55 Degrees. 


— — — 


— 


ee. 1 


r 


Tangents, and Natural Sines. 11 5 


34 Degrees. 


A Sine, Co- ine. Tang. |Co-tan, || Natural | Natural 
| Sine. []Co-fine. 
Index 9. | Index g. Index g. Index 10. 
[:0|7531280] 915993718371343 162865 7]| 5664062[8241262]30 
117533118] 91590691837 4049 [1625951 5666459|8239614|29 
5 7534954/9158 20008376755 [1623245] 5668856|8237965128 
1317536799] 91573308379460 [16205 40 567125218236316[27 
347538624 9156460 3 1617836567 3648823466626 
3517542457 [915558918 384867 1615133] 5676043|8233015|25 
36 7542288 9154718 8387571 1612429] 567 8437823136424 
377544119915 38468390273 1609727 $080831]8229712|23 
38754594919152974 [8392975 [1607025] $083225|8228059|22 
191754777719152101]|839567611604324 5685618]8226405|21} - 
1017549604 |[9151228]|8398377|1601023 568801118224751]|20 
41175514311915035418401077|1598923 569040318223096|19 
4217553250 9149479 840377611590224 5692795|3221440]18 

7555080|[9148604 8 406475 15935255695 1860821978417 
7555902 91477298409 174/1590826 509757713218127116 
) 4517558724 9126852 8411871|1588129] 8592258821549 
4 11617560544|9145976118414559|1585431] 5702358[8214811 
| WM [417552354[91 45099[[841 7265 [1582735] 5704747 8213152 
0 


& 


48]7564182|[91442211[8419961|1580039] 5707136|8211492 
917565999 914334218422057 [1577343] 57095 245209831 
5017567815|9142464[}8425351 [1574049] 5711912[8208170 
55 7569630[9141584||8428046|157195 4] 5714299]8206508 
521757 1444|91407041[84 30739]! 569261] 5716686820486 
6 $317573255191398241|8433432 [1506568] 571907308 203183 
6477556589 38943(8436125(5638750572145982015ʃ9 
5 5517570878 91380011}8438817[15601183] 5723844(8199854 
+ 567578687 [9137179 1844150815 58492 5726229 8198189 
N 5717580495[9136295||8444199|1555801] 5728614[8196523] 
« 58 75823020 9135413 [8446889155311 57309988 194856 
4 5917584108 [9134530[844957911559421] 5733381 (8193189 
7 bo[758591319133645118452268115477 32} 5735704|$191521 
M  [Co-fine, | Sine. [| Co-tan, | Lang. | Nat.Co. Co. Nat. Si. 


[= = — 5 ow wo |5 = "FI 


55 Degrees. 


b 
. TT 
* 
a Us © . ns p SY * . 1 * 


— — 


D — — 


A Table of Artificial Sines, 


35 Degrees. 


— 


| wy 


Natural 
Co- ſine. 


M] Sine, . Tang. |Co-tan. Natural 
| Sine. 
Index q. Indeæ 9. IN| Index 9. Index 10. 
758591319133045}}84522608[1547732 
7587717 913275 13454950 1545044 


5$735704|[8191521]60 
5738147 818985259 


— 


ö 


{ 


G | 
1 


11 


7583519 
7591321 
759312¹1 
7594920 
7590718 
7598515 
7000311 
7602106 
7603899 
7005692 
7007483 
7609274 
7611003 
7612851 


7614638 


7616424 
7618208 
7019992 


7021775 


7023550 
7025347 

n. 
7628894 
7630071 


7632447 


7634222 
7235990 
7657769 
7039540 


Co-unc. 


9131875 
9130989 
9130102 
9129215 
9125328 
9127440 
9126551 
9125662 
9124772 
9123882 
9122991 


9122099 
9121207 


9119422 
9118528 
9117634 
9116739 
9115844. 
911494" 
9114051 
YE 3 ILSS 
9112257 
9111559 
9110400 
91095651 
910866. 
9107701 


Hine. 


9120315 


8457044 
8460332 
8463018 
8405705 
8408390 
8471075 
8473700 
8470444 
0479127 
8481810 
8484492 


1542350 
15 39008 
1530982 
1534295 
1531010 
1528925 
1520240 
1523530 
| $20873 
1518190 
1515508 


8487174|1512820 


8489555 
8492530 
8495216 
8497896 
8509575 
8503253 
8595932 


1510145 
1507404 
1504784 
1502104 


1490747 
1494009 


8508008 
8511285 
8513961 
8516637 
8519512 
8521987 
85 24601 


8527335 
85 30008 


910686085 32680 


Co: tan. 


1491 392 
1488715 
1486039 
14833035 
1480688 
1478013 
1475339 
1472005 
1469992 
1497320 
Tang. 


5740529 
5742911 
5745292 
5747072 
5750052 
5752432 
5754811 


1499425 


5757190 
5759508 

5761946 
5764323 
5766700 
5769076 
5771452 
5773827 
5770202 


WW 
SI} 
SS 
w1 
S 
2 
O 


5790440 
7928!2 


5795183 
5797553 
5799923 
5802292 
5804001 
5807030 
Nat. Co. 


8188182058 
8186512 57 
8184841056 


8181497 54 
817982453 
817815052 
8176470 
81748 | 50 
173125145 
5171449048 
516977207 
816 8094 46 
81600415|4; 
8163056[4; 
8161376042 
5159595041 
8.894301 
8150330139 
815464738 
6152953037 
$151278[36 
8149593135 
8147900134 
814621913} 
8144532132 
$142844]31 
814115530 


Nat. SLIM 


54 Degrees. 


6 


”—_ 3 A 


ö 


nenen eee we WHY . . . . | + we wa wa eee 


1 124 22 


Tangents, and Natural Sines. 


35 Deprees. 


117 
2550 


Sine, |Co-line. 


Index 9. 
9106860 


9105959 
9105057 
9104155 
9103251 


Index 9. 
20] 7039540 
5107661311 
32 2 
7644849 
+ 7646616 
35 764882 
3917630147 
37 2651911 
1? [053974 
1917055430 
7057197 
17058957 
1 76607 15 
43]7002473 
4417004229 
7665985 
7607735 
7999492 
7671244 
767299 
7074740 
5117070494 
5217078242 
5317079989 
547681735 
557583480 
7085223 
557686965 
587688707 
5907690448 
607692187 
Co-fne. 


9101444 
91003 39 
9999033 
9998728 
9097821 
9095915 
9949097 
9095099 
9044190 


rr 
* 
O 


— 
+ 
—\ 


9992371 
9091461 
1 
9089039 


9033243 
9082327 
9081411 
903049 þ 


Sine, 


9102348 


9093281 


Tang. 


[ndex 9. 
8532680 


8535352 
8538023 
8540094 
8543305 
8540034 
8548704 
8551372 
8554041 
8550708 


8559370 


3502042 
8504708 
3507374 
8570039 


8572724 


8575308 


| 


279252 


8578031 


8580694 


8583357 


9088727 ][85 86019 
9087814 1ʃ8588080 
903690 1[8591341 
9955983113594002 
998507 3118596661 
9984159115599321 
8001980 


8604638 
8607296 
5509954 
8612610 


Cos tau. 


Co- tan. 


Index 10. 
1467320 
1464648 
1401977 
1459300 
1456035 
1453900 
14512906 
1448626 
1445959 
1443292 
1440624 
1437958 
1435292 
1432626 
1429901 
1427290 
1424032 
1421969 
1419300 
141004 3 


1413981 


1411320 
1408659 
1405998 
1403339 
1400679 
1398020 
1395362 
1392704 
1390046 
1387 390 


Tang. 


—— — 


Natural 
Sine. 


5807030 
5809398 
5811765 
5814132 
5816498 
5818804. 
5821230 
5823595 
5825959 
5828323 
5830087 


5833050 
53835412 
5837774 
5840130 
5842497 
5844857 
5847217 
5849577 
5851936 
5854294 
5850052 
5859010 
5861367 
5803724 
5866080 
5808435 
5870790 
5873145 
5875499 
5872888 


* 


Nat. Co. 


| 


Natural 


Co- ſine. 
 ———" 


8141155 
8139465 


8137775 
8136084 


8134393 


8132701 


8131008 


8129315 
8127620 


8125925 
8124229 
8122 532 
8120835 
8119137 
8117439 
8115740 
8114040 
8112339 
8110638 
8108936 
8107233 
8105 5 30 
8103826 
8102121 
8100416 
8098710 
8097003 
8095 296 
5093588 
8091879 
8090170 


_ 


Nat. 81. 


10 


r 


54 Degrees. 


|. 


— - — 


— 


— — —— — — — — - 


„ — —— 1 — 


A Table of Artificial Sines, 


36 Deprees. 


10 


_— 


© ow own w tv -| o 


Sine. 


Index g. 
2692187 
7693925 
7695662 
7697398 
7699134 
770086 
7702601 
7704332 
770603 
7707793 
7709542 
7711249 
7712976 
7714702 
7716426 
7718150 
7719872 
2221593 
7723314 
7725033 
7/20751 
7728468 
7730185 
7731900 
7733014 
1735327 
1737939 
7738749 
7740459 
7742168 
7742876 


Co-nne. 


3 


819074980 


Index g. 
9279576 
9078658 
9077740 
9076820 
9975901 


9074059 
9073138 
9072216 
9071293 
9070370 
9009446 
90685 22 


9067597 
9066671 


90648 19 
9063892 
9062964 
9062036 


900% 
9059247 


9065745 [86 


9051107866 


Tang. 


Index 9. 
8612610 
8615267 
80 
8620578 
8623233 
8625887 


8028541 


Co- tan. 


Index 10. 


1387390 
1384733 
1382077 
1379422 
1370767 
1374113 
1371459 
1368805 
1366152 
1363500 
1360848 


1358197 
1355546 
1352895 
1350245 
1347596 


1344947 
1342298 
1339050 
1337003 


1334350 


1331709 
1329063 
1326417 
1323772 
1321127 
1318483 
1315840 
1313196 
1310554 
1307911 
Tang. 


Natural 
Sine. 


— — — 


$877853 


5880206 


5882558 


5884910 


5887262 


5889613 
5891964 
5894314 


5896663 
5899012 
5901361 


5903709 


5906057 


5908404 
5910750 
5913096806444 


5915442 
5917787 


5927162 
5929505 
5031847 


5930530 
5938871 
5941211 


5920132 
5922476 
5924819 


5934189 


5943550 
5948889 
5948228 
Nat. Co. 


"HF 
Co-fine, 


8090170 
8088460 
8086749 
8085037 
8083325 
808 1612 
9079899 
8078185 
8076470 
5074754 
70252 
8071321 
8069603 
8067885 


8062726 
8061005 
8059283 
8057560 
5055837 
8054113 
805 2389 
8050604 
8048938 
8047211 


8045454 
8043750 
8042028 
8040299 
Bagh ge 
Nat. Si. 


8066166] 46 


nn 


53 Degrees. 


Tangents, and Natural Sines. 


36 Degrees. 


Mine. 


307743875 


32 7747288 
1317743993 
1417759097 


3617754191 
1717755801 
3817757521 
3917759199 
407760897 


— — —ſ ä 


1117762593 
27764289 
4317705983 
47767675 
451279359 
4617771060 
4717772750 
4817774439 
4917770128 
502777815 
5107779501 
5217781186 
$317782870 
$417784553 
5512780235 
567787916 
5717789595 
587791275 
97792953 
607794630 
Co- ſine. 


3 


Index 9. 


$1177455831995 


3511752392 


Co-ſine, 


8 
2 
085 2 
9049916 
9048980 
9048043 
9047106 
9046168 
9045230 
9044291 
9043351 
9042411 
9041470 
9040529 
9039587 
9038644 
9937701 
9936757 
9035813 
9034868 
9033923 
222 
9032031 
9031084 
9030136 
9029188 
9028239 
9027289 
9026339 
9025389 


9024438 
20234868 


Sine. 


Tang. 


Index g. 


3525 


8694731 
8697372 
8700013 
8702653 
8705293 
8707933 
8710572 
8713210 
8715848 
8718486 
8721123 
8723760 
8726396 
8729032 
8731668 


8734302 
8736937 
8739571 
8742204. 
8744838 
8747470 
8750102 
8752734 
8755364 
8252995 


——— 


Co-tan. 


Index 10. 


1273604 


Co: tan. | 


1307901 
1305209 
1302628 
1299987 
1297347 
1294707 
1292067 
1289428 
1286790 
1284152 
1281514 
1278837 
1276240 


— — 


1270968 
1268332 
1265698 
1263063 
1260429 
1257796 
1255162 
1252530 
1249898 
1247206 
1244035 
1242004 
1239373 
1236743 
1234114 
1231485 
1228856 
Tang. 


Natural 
Sine. 


5948228 
5950566 
5952903 
$955240 
$957577 
5959913 
596022 :9 
5904584 
5966918 
5969252 
5971586 
5973919 
59706251 
5978583 
5988915 
5983240 
5985576 


5990236 
5992565 
5994893 
5997221 


$999549 
6001876 


6004202 
60065 28 
600885 3 
6011178 
6013503 
6015827 


Nataral 


8038 569 
8036838 
8035 107 
8033375 
8031642 
8029909 
8028175 
8026440 
8024705 
8022969 
8021232 


8019494 
8017756 


8016017 
8014278 
8012538 


8010797 


5987906|80c90g6 


8007314 
8005571 
8003827 
800 2083 
8000338 


7998593 
7996847 
7995100 


[991704 
7989855 
7988105 


6018150798635 


Nat Co 


Nat. Si. 


Co-fine. | 


7993352 


53 Degrees. 


— 


——— — > exe - ” 


A Table of Artificial Sines, 


37 Degrees. 


* 


oO ©W 2 — N lo 


W Ge NN t 
0 0 Ow 


— 


Sine. 


Index . 
7794030 


7796300 


779798! 


7799055 
7801328 


7803000 


7804071 
7806341 
7808010 
7809677 
7811344 
7813010 
7814675 
7810339 
7818002 
7819664 


Co- ſine. 


Index q. 
9023486 
9022534 
9021581 
9020628 
9019674 
9018719 
9017704 
9016808 
9015852 
9014895 
9913938 
9012980 
9012021 
9011862 
ooo 


9009142 


7821324 
7822984 


7824643 


7826301 
7827958 


| Co-fine. | 


9008181 
9007219 
9006257 
9005 294 
9004331 
9003 267 
go 2403 


29001428 
{4200472 
718999500 


39985 39 
8997572 
3990004 


8995636 


8994657 


| 


Tang. 


Iudeæ . 
8771144 
8773772 
8770400 
8779027 
8781654 
8784281 


8720907 
8789533 
87921158 
8794782 
$797407 
880003 1 
8802654 
2805277 
88079 
8810522 
8813144 
8815765 
8818386 
8321007 
0323027 
8820246 
8828806 
8831484 
8834103 
8836721 
8839338 
8841956 
8844572 
3847189 
8349805 


Sine. 


Co- tan. 


Index 10. 
1228856 


1226228 


1223500 
1220973 
1218346 
1215719 
1213093 
1210467 
1207842 


120521806 
1202593 


1199909 
1197 340 
1194723 
1192100 
1189478 
1185856 
1184235 
1181614 


1178993 


1176372 


1173754 
1171134 
11685 16 
1165897 


1163279 


1160002 
1158044 
1155429 
1152811 


1150195 


Co-tin, | 


i ang. 


Natural 
Sine, 


6018150 


50204730 
6022795 7 


2025117 


9027439 


a 


0074400797 4084 
60367 197972328 


0055255 
6057570 
6059884 
6062198 
6064511 


606682 3 
6069135 
607 1447 
6073758 
507 600g 
0078379 
5080689 
6082998 
5085 306 


6087614[7933533 


7197957215 
79688 5; 


— u 


7967057 


7905 299] 
7963540]4 


7961780 
7960020 


7958259 
7950497 
7954735 
7952972 
7951709 
7919443 


79470678}; 


1945912 
7344146 


1942379135 
7940011] 


7938843 
7937074 
7935304 


7979375 
2970 en, 


6032080 79758395 


Nat. Co. 


Nat. .. 


52 Degrees. 


Fangents, and Natural Sines; 


_ 121 


c 


4 


= OY 


37 Deprees. 


As Wy 


* 


2 "TEE 


Co- une. 


518968280 


8974181 
897 3199 
3972215 
3971233 
970249 
8969265 


8967294 
8966308 


W 


Sine. 


Co-ſine. Tang. 


Index g. 


8349805 
3852420 


118855035 


8857650 


118860264. 
886287801 


8855495 


8868 10 


8878554 
8831105 
8883775 
8886386 
8888996 
8891605 
8894214 
8896823 
8899432 


8902040 


8994647 
8997254 
8909861 
8912468 
8915074 
8917679 
8920285 
8922890 
8925494 
892 3098 
Co- tan. 


Co- tan. 


Index 10. 


88 
1147580 


1134508 


51131895 [6 


1129282 


1126670 
1124058 


1121440 
1118835 


1113614 


1095353 
1092746 
1090139 
1087532 
1084926 
1082321 
1079715 

1077110 
1074506 
1071902 


Tan g. 


* 


Natural 
Sine. 


6087614 
6089922 


11162256 


6092229 


6094535 
6096841 


6099147 
0101452 


6112968 
6115270 


6124473 
6126772 


6129071 


6135963 
6138260 
0140556 
6142852 
6145147 
0147 442 
6149736 
6152029 
6154322 


6156615 


[o-:ſine. 


37917569 


8 7897983 
7896198 


Natural 


7933533 
7931762 
7929990 
7928218 
7926445 
7924671 
7922896 
7921121 
7919345 


{915792 
7914014 
7912235 
7910456 
7908676 
7906896 


7905115 
7903333 
7901550 
7899767 


7394413 
7892627 
7890841 
7889954 
7887266 
7885477 
7883088 
7881898 
7880107 


N ac. Co. Nat. Si. 


— 
„ 


"o 
0] 


ES 


12 


1 
1 


* 
114 


Le 


52 Degrees. 


122 


| 


A Table of Artificial Sines, 


28 Degrees. 


— 


17939355 


Sine, 


ladex . 
7893420 
7895036 
789665 2 
7898266 
7899880 
7901493 
7903104 
7904715 
7906325 
7907933 
79093 +0 
7911148 
7912754 
7914359 


7915963 


7917566 


Co fine. 


Index . 
8905321 
8964334 


8903340 
8962358 


89613698 


— 
8959389 
8958398 
8957400 
8950414 
8955422 
895 4429 
8953435 
8952440 
8951445 
8950450 


7919168 
7920769 
7922369 
7923968 
7925560 
7927163 
7928769 


7931949 
[933545 
7935135 
7936727 
7938317 
7929907 
7941496 


* 


Co- line. 


8949453 


8939458 


8938456 


8937452 
8939448 
8925444 


874910 
6163977507 
6 898010 


8987895 


Tang. 


Indix 9 

8928098 
8930702 
8933306 


8943775 
8940317 
8948918 
8951519 
3954119 
8950719 
8959319 
8961918 
8904517 
8997116 
8909714 
2972312 


8982700 
8985 296 


8990487 
8993082 
8995077 
8998271 
9000865 


9003459 
900605 2 


1058886 


Index 10. 


Sine. 


* 


Co-tan. 


| 
Co-tan. || Natural 
Sine, 


1071902 
1069298 
1066694 
1064091 
106148 


6156615 
6158907 
6161198 
6163489 


916165779 
6168069 


10552850[617035 

105 368306172648 
105 108205174936 
1048431][6177224 
1045881617951 
104328:11[6181798 
104068 106184084 
103808 206186370 
1035483018865 5 


10328846 190940 


103028006193224 
1027688619550 
1025099][6197790 
1022493|| 620007 3 
1198906202355 
1017 30006204636 
1014704/6206917 
1012108]|6209198 
I009513h6211478 
1006918621375; 
1004323062160 36 
1091729]|6218314 
0999135],0220592 
09955410⁰6222869 
0y93948|10225149 
Fang. 


— — 


7874732 


917869350]; 


Nat. Co. 


Natural 
Co: ſine. 


7880107 
7878316 
7876524058 


7872939 
871145155 


7867555 
7865759 
7863962 
7862165 
7800367 
7858569 
7856770 
7854970146 


7351368 
7849566 
7847704 
7845961 
7844157 
7842352 
7840547 
7835741 
7830935 
7835126 35 
7833320 


— 


51 Degrecs. 


nt 


* 
nd 


7853169145] 


Tangents, and Natural Sines. 


38 Degrees. 


n—_— 


Sine. 


Index 9. 


Co-hne. 


7941496 
7943083 
7944670 
7946256 
7947 841 
3517949425 
7951005 
7952590 
1954171 
1955751 
4911957330 
7958909 
7960486 
7962002 
1963638 
7966786 
7968359 
7969930 
7971501 
7973071 
7974640 
27976208 
37977775 
47979341 
7980906 
7982470 
7984034 
3817985596 
7987158 
7988718 


| Co-ſine. 


Index 9. 
8935444 


8934439 
8933433 
8932426 
8931419 
8930412 
8929404 
8928395 
8927385 
8926375 
8925305 
8924354 
8923342 
8922329 
8921316 
8920303 


8919289 


8917258 
8916242 
8915220 
8914208 
8913191 
8912172 
8911153 


8909113 
8908092 


8907071 


| Sine. 


8918274 


8910133 


8900049 
8905026 


Tang. 


[naex q. 
goObog 2 
9008645 


9011237 
9013830 
9016422 
9019013 
9021004 
9024195 
90267 86 
9029376 
9031966 


9034555 
9037144 
9239733 
9042321 


9944910 


9047497 
gogo0085 
9052672 
9055259 
9957845 
9060431 
9063017 
9065603 
9068188 


9973357 
907 1941 
9073525 
9081109 
908 3692 


9070773 


Co-tan, 


5 
9993948 [6225146 


9991355 


0988763 


0986170] 


0983578 


0978396 


0975805} 


0965445] 
0962856 


0960267 


0949915 
0947328 
0944741 
0942155 


9926643 
o 9240596286420 
9214756298682 
9188916290943 
9916308 [6293204 


Cos tan. | 


Natural 
Sine. 


| 


10227422 
6229698 
0231973 
6234248 
6236522 
66238796 
6241069 


6250156 
6252426 


6256906 


[6259235 


6263771 
6266038 
6268305 


6270571 


Tang. Nat. Co. 


6254696 


Natural 
Co: ſine. 


7825082 


7824271 
7822459 
7820646 
7818833 
7817019 
7815205 
7813390 
7811574 
7809757 
2807940 


7804304 
7802485 
780066; 
7798845 
1797924 
7795202 
7793380 
7791557 
7789733 
7787908 
7786883 


i 


7782431 
7780604 


6117778777 


7806122 


7784257 


7776949 
7775120 
7773290 
7771400 
Nat. Si. 


I I C 


| ow awls 


—_ — 


Slo 2822 


"I 


— 


51 Degrees. 


” 


v5 "So Is © * 6 * 


R 2 


SS 2 - 
— — — — — — — 


4 Table ' of Artificial Sinnes, 


124 


39 e. 


— 


* 


| 


1 


10 


the. AM. G >. tt. 


| 


798871818905026 2083092 

7990278 8904003 9086275 
79918368902979 [0088858 
7993394 35997499, 440 
7994951089009 299 
7996507]8899903 
7998052 8898877099185 
7999616088978509 10176 
800116918 8968229104347 
80027210889579 4910692 
8004272 8894765 [2109507 
8005823 38937 369172087 
8007 372|8892706[191 14666 
8008921]8891675| 
8010468|8890644|}15 
8012015|888961 2} 


801 3564|[88885 80} 


80 1664988865 13 
8018 19008885479 
8019235ʃ8884444 
802127618883408 [9137868 
80228 160888237200 140444 
80243550888 1335 
8025894 88802980145 596 
8027431]8879260 9148171 
8028908|8878221]}9150747 
8030504|8877182| 
80320381] 8876142 
803357208875 102158471 


— |Co-inc. 


8035105 FL) bs 
dine. 


. Co- tan. 


Index io. 


2 


Natural 
Sine. 5 


20916308 [6293204 


0913725 9295404 
0911142116297724 
acodets 6299983 
0905978 [302242 
0993397 6304500! 
590081 [5300758 
22 234175 9015 
28956531 5311272 
9895555 0313528 
0890493 110315784 
0887913 6318039 
0885334|10320293 
o8827551]10322547 
0880176116324800 
0877597 (0327053 
5750196329305 
087 244110331557 
0869863] 333308 
0867286] 9330059 
0864790338309 
8516455 
08595 5606342808 
085698063 45057 
0854404 [5347305 
0851829624953 
0849253 6351800 
ms Hos 
44104635 
8415296358537 
0838955 110300782 


Wang. 


— 


11 


Natural 
[Co- ſine. 


7771460 
7709629 
776779) 
7765965 
7764132 
7762298 
7760464 
7758629 
77 56794 
7754958 
7753121 


7751283 
* 49445 
7747606 
7745767 
1743927 
7742086 
7740244 
77 38402 
7730559 
77 34716 


77 32872 
7731027 
7729192 
7727330 


7723642 
7721794 


1719945 
7718096 


7716240 


Nat. Si. 


7725489135 


* A 9 


— — 


1 60 * WS W * 


50 Degrees. 


Tangents, and Natural Sines, 125 


ce 


— 


39 Degrees. 


— — 
——— 


| | 
lu] Sine. |Co-fine. | Tang. |Co-tan. Natural Natural | | 
3 Sine, |Co-fine. | 
Index g. [{ndex 9. Index 9. Index 10. | 
3008035105 8824061 9161045 0838955 63607 8202216246030 
78536537 887 319153675 0838388838125 7714795029 
28038 1680687 9779166192 0833808 [6365 270077 12544028 
33 30395990 8370934 9168766831235 [6367513 7710692127 
34480412280 886989 9713380828662 [63697 56770883926 
360842757ʃ85884% 281826089 6371998|7706986| 25: 
(;6/8044284|8867801 y9+ , 648319823517 10374240[7705132|24 
17080458 i 1188667 56119175995 5 082c945110375481177032781 23, 
3818047330 $865710{918162 [o8 18373 [637872107701423022 
39 804886 [8864663 18498008 15 802 [638096 10769956721 
4808038 5[886361 5852590813231 [6383201 259721920 
10805 19088862568 9189340 0810660 [6385440769585 319 
420805 343218861 519119191911 [08080890387678 7693995. & 
43|8054951188604701[9194481 0805 5196389916|769213717 
44] 8056472|88594201[91970511098029491}6392153]7690278[16 
40805799 08838 200199621 [0800379|5394390[7688418|15 
46 80;595 10088 5 31919202191 [0797809 3966267686558 14 
[47\8061027|8856267 (192047600795 24398862 768409713 
6080625 4408855 2159207 329079267 1640 1097768283512 
40806406088 541620209898 [9 %õ,, 6403332 768097311 
508065 5280885 21099212466 875346405566 257 9119/10 
5118267089] 385 2055 21503484966 0% 7 997677246 94 
52806860288 5 100217602 [08 2398 6410032767 5382] 8 
53180 01148849945 [0220700779830 6412264767357 7 
541807 162608848889 0222737 [0777263 ||6414496|7671651] 6 
$5180731361[38847832 9225304 077469616416727 76697 3; $5 
8846775 ||19224871[077212911641895817667918]| 4 
8845717 9230437769563 [6421188766605 1 3 
531807 7662{8844659\19233004 [0766996 [6423418|7664183] ,2 
59 95916 884399 9235570764430 [6425647 766231441 
bodo 806 5 eee 0761865 [|6427876]7660444| o 
Is "cane. ei | 13 Tat. To. M 


Ce-fine. |- Sine. [Co-tan. [Lang. [Nat. Co. [Nat. St. 


— 


* „% - — + — „ ww - 


| _ 50 Degrees. Za 3 


_—_ _ — — 


A Table of Artificial Sines, 


_— 


40 Degrees. 


23 
424] 


tv 
WA 


Sine. 


Index q. 
8080675 


8082180 
808 3684 
8085 188 
8086690 


— 


Co-ſine. 


— — 


80881920883 


8089692 
8091192 
8092691 
8094189 


8097182 
8098678 
8100172 
8101666 


8103159 


8104050 
8106141 
8107631 
8109120 
8110609 


8112096 
8113583 
8115069 
8116554 


8118038 
8119521 


8121003 


8122484 
8123965 
8125444 


8095686 


3829774 
8828706 


8327638 
8826568 


8825499 


[8824428 


3823357 
8822285 


8821213 


8820140 
8819067 


381799209 


8816918 


Tang. 


ludex 9. 
9238135 


9240701 
Q24.3266 


7119245831 


9243396 
bt bas ah 
9253524 


9200341 
9203904 
9271466 
9274028 
9270590 


Co-tan. 


Index io. 
0761865! 


0759299! 
0750734 
0754169 
0751604, 
0749040 


Natural 
Sine, 


6427876 
0430104 
0432332 

434359 
6436785 


0740476 
0743912 
0741348 
0738785 
0736222 
0733059 
0731090 
07285 34 
0725972 
0723410 


9279152 
9281713 
9284274 
9280835 
9289390 
9291956 
9294516 
297076 
9299636 


1 


88 14766 
8813689 
8812612 
8811534 


881045519314989 


Co- ſine. 


9304755 
9307314 
9309872 
9312431 


Sine. | Cyu-tan. 


0720845 
0718287 
0715726 
0713165 
0710604. 
0708044 


0705484 
0702924. 
0700364 
0697805 
0095245 
0692686 
0690128 
0687569 


643901) 
6411236 
6443461 
6445685 
6447 909 


6450132 


6452355 
6454577 
6456798 
6459019 


6461240 


6463460 
0465679 
5467898 
0470116 
6472334 
0474551 


6476767 


6478983 
6481199 
0483414 
0485628 
0487842 
2490055 
6492268 


0685 


1a 


2 


0494480 
| Nat. Co. 


7624801 
7622919 
7621036 
76019152 
7617268 
7015383 
7013497 [35 
7611611 
76097 24 
7607837 
7605949 
7 604060 


Nat. Si. 


—— 


] 
ö 


49 Degrees. 


1 


3 


— 


 Tangents, and Natural Sines. 


1 


40 Degrees. 


Sine. 
Index 9. 


$120923 
8128401 
8129878 
8131354 


308134303 
19135777 


$138721 


$125444 


758132829 


8137250 


Co- ſine. 


8809370 
8808296 
8807215 
8800134 
8805052 


4 


8803970 


Tang, 


Index g. In dex g. 


8810459314989 
9317547 
9320105 
9322062 
9325220 
9327777 


9330334 
8802887|19332890 


8808039335446 
88007 199338003 


— 


Co- tan. 


Index to. 
06886011 
0682453 


0679895 
0677338 


0674780 
067222306 


r 
WW 
O 
— 
Wa 
tv 
+ 


06959066 


217594606 


Ges | 
Co-fine. 


7694060 
7602170 
7600280 
7598389 
7596498 


7592713 
759080 
7588926 


7587031 


49 Degrees. 


232 


105140192 8799934193495 59 7585136 
41[$141602[87985 4819343114 7583240 
421$143131[879740219345670 7581343 
431$1446001879037 519345225 7579446 
4408 1460678795 2879350780 7577548 
451$14753418794199}9353335 7575050 
1681489998793 1109355889 7573751 
66150464879 20210358444 757185113 
4808515 192887909 309 360998 756995012 
1905153391878 98 409363552 7508049]11] 
;ol8154854[87 8874819305105 75605147 10] 
51]8156315|878763 60119308059 063134165408 10756424569 
5218157776187 86563119371212[0528788]0543010|7562342| 8 
56159235878 5470373765 [0626235|6545209]7 560439 7 
440510069 48784 3769375 18 06236820 65474087558535 6 
5518162152[8783281][4378871 0621129 0549606[7556630] 5 
$618163609|$782186][39381423]0618577]}0551804[7554724| 4} 
7165066878 10909383975 061502565 540017552818 3 
5061665218779 99 4903805 27 06134735556198½7 550112 
19/9167975|87788961[9389979 0610921055839; 17549004 | 1: 
8816942987777 391631 [0608369] 65605507 547096] of 
<o-fine. | Sine. {| o-tan. Yang. | Nat. Co. Jat. Si, N 


| A Table of Artificial Sines, 


41 Degrees. 


Sine. 


IIndeæ 9. 
E 8160429 
1 8170882 
2 8172334 
318173785 
413175235 
18 8176685 
618178133 
718179581 
818181028 


98182474 
1018183919 
1118185364 
1218185807 

1315188250 
1448189692 


1618192573 
17138194012. 


th. 


1918 196888 
2008198225 


218199761 
2208201196 
2318202630 
248204063 


2618206927 
27820835 


2908211217 


[Co-tine. 


8772300 


15 8191133 


18138195450 


2508205495 


2818209788 


[3* 8212646 


"_ 


Co-ſfine. Tang. 


2 9. 

8777799 
87 76700 
8775601 


8774501 
9773401 


9394182 
9396733 
9399284 
9401825 


8771198940090 
3770096[9409480 
8768993412036 
8778899414585 
8756785] 
8765680 9419584 
3764574[942 2233 
87634681[9424782 
8762361119427 331 


87612531[9429879 


[3760145 [9432428 
9759035 9434976 
875792709437524 
37558169140 
23 059442519 
355458457 

875348209447714 
8752369940261 
3751256945807 


87 4902719457900 
8747912194094 47 
$8746795119402993 
874567919465 539 


8745619468084 


| Sine, 


[Co- ran. 


Index g. | 
9391630 


9404385 


567859417135 


Co-tan . 


057.2669 


0570121 


0554834 
0552280 
0549739 
0547193 
8750142119455 35410544046 
0542100 


8539553 
9537007 
0534401 
| $43- 6116620201 


Nat. Co. 


| Tang. 


Index 10. 
{0603369 
o605818 
0603267 
0600716 
0598165 
0595615 
593064 
40590514 
0537964 
585415 
0582865 
05 80316 
0577707 
0575218 


Natural 
Sine. 


6560590 
6562785 
6564980 


6509267 


6573752 
0575944 
0578135 
0580326 
6582516 
6584706 
6586895 
6589083 


8953191 


6591271 
6593458 
6595045 


6597831 
6600017 


16602202 


6604 386 
65060570 
6608753 
6610936 
6613118 
6615300 
6617481 
6619602 
5621842 
6624022 


— — 


0507174 
6571560 


Natural 
Co- ſine. 


| 


7.547096 


— 


7 545187 


75452 58 
7541368015 


/ 539457 


7535034 
7533721 
7531808 
7529894 
7527980 


7526065 


7524149 
7522233 
7520316 


7518398145 


7516480 
7514561 
7512641 
7510721 


2322 


7506879 
7504957 
7503034 
7g0111! 


7497 202 
7495337 
7493411 
7491484 
7489557 


7537549155 


7499187135 


Nat. di. | 


43 Degrees. 


Tengents, and Natural Sines. 


* 


41 Degrees. 


th. 


Sine. 


8214073 
8215500 
8216926 
8218251 


8221198 
8222621 
8224042 
8225463 
8226883 


Index 9. 
98212646 


* 


In 
8744501 


8743443 
8742325 
8741205 
874008 ; 


8219775|8738965 


$7 37844 
8730722 
8735599 
8734476 
87333 


8228 30208732227 


8229721 
3231138 
8232355 


8233971 


8235380 
8236800 
8238213 
8239526 


8241037 


8242448 
3243858 
3245267 
8246676 
8248083 
5249490 
8250896 
8252301 
8253705 
8255109 


Co- ine. 


8731102 
3729976 
8728849 
8727722 
3720594 
8725466 
8724337 
3723207 
8722076 


5720945 
8719813 
8718681 
8717548 


8715279 
8714144 
8713008 
8711872 


821644 


Tang. 


Index g. 
9468084 


9470030 


9473175 


9475720 


9478265 


9303705 


9509248 


9508791 


9511334 
9513870 
9516419 


9518961 


9521503 


9524045 


9534214 


9530752 
9539293 
9541834 


8710735 
Sine. 


9514374 


Co-ran. 


9480810 


9483355 
9485899 
9488443 
9490987 
9493531 
9490075 


9498619 
9501162 


9526587 
9529128 
[9331670 


Co- tan. 


Index 10. 
0531916 


0529370 
05 26825 


0519190 
0510045 
5 14101 
8511557 
0309013 


05064696 


0503925 
0501381 
0498838 
0495295 
0493752 
0491209 
0488666 
0480124 


0481039 


0478497 
9475955 
9473413 
0470872 
0468330 
0405789 
0403 248 
0460707 
0458166 
0455626 


Pang. 


05242806 
5217350056 


04835810666 


6658817 
666098 

6663156 
6665 325 
7493 
6669661 
6671828 
0673994 
6676160 
6678326 
6680191 
668265 
6684818 
6586981 
6689144 
66913056 


Natural 
Con-fine, 


* 


7489557 
7487629 
7485701 
7483772 
7481842 
7479912 


7477931 


7 [7476049 


7474117 
7472184 


7470251 
2 [7408317 


7466382 
7404440 
7462510 
7460574 


717458037 


7456699 
1454790 
7452821 
7450881 


7448940 
7446999 
7445057 
7443115 
7441172 


317439229 


7437285 
7435340 
7433394 
7431445 


Nat. Si. 


10 


Slo Gele ee 


* % 


48 Degrees. 


— 


9 


8 


ET — — —— — = = 


— — — — 
r 2 — — — 2 
—— 


—— — — — 


Pe "rags 


202 


2 — 
— <a” — 
- — 


- 
—ä (ü — 


— — 
— — 


— 


3 —— dUͤ A 
— ———— p ˖ ˖ ; 
_ = o 2 * 1 


— =T•— 
p 2 7 * — 


* 
=D 
n 


— — — 
5 = 
— —— —— ̃ —— — — — — 


A Table of Artificial Sines, 


42 Degrees. 


[ 


1 


22 7 . » 
— 
— 


1 


Sine. 


ris 


8255109 
8250512 
$257913 


3259314 
8260715 


8262114 


Co- ſine. }| Tang. 


Index 9. 


3710233 
879597546915 
9549455 
870731995519 97 
8706179 
3795939 


8708458 


8203512 
8204910 
8266307 
8267703 
8209098 


8270493 
8271887 


82732798 


8274671 
8276063 


1618277453 


8278843 
8280231 
8281619 
8283000 


8703898 
8702756 
8701613 
8700470 
8699326 


Tadex 9. 
9544374 


9554535 
9557275 
3559615 
9562154 
9564694 
9507233 
9509772 


8098182 


8690152 
8689002 
8687831 


119585004 


9572311 
9574850 
9577389 
9579927 
9522405 


Cos tan. 


Index 10. 
0455026 


0453085 
0459545 
0448005 
0445405 
0442925 
0440385 
0437 846 
0435307 
0432707 


0423150 
0422011 
0420073 
0417535 


9597542 
9590080 
9592018 
95953155 


8284393 
8285778 


8287163 
8288547 


25138289930 


8291312 
8292094. 


13294975 


$295454 
2290233 


Co- fine. | 


8680700 
8085548 
8584396 
8683242 
3682088 
8089934 
8079779 
85/8623 


867746 
8670309 


Sine. 


9920535 


9397993 
9600230 
9502767 
9005305 
One 
9010378 
9612915 
9615452 
9517988 


0414990 
0412458 
0409920 
0407382 
e 
0402307 
9999779 
0397233 
0394095 
0392158 
0389022 
03287085 
0384548 
0382012 


0379475 


Natural 
Sine. 


—ůů— —— 


6691306 


6693467 
6595628 
6697788 


6699948 


6704206 
6706424 
6708582 
0710739 
67125957 


— 


0717206 
0719361 


6721515 


16723668 
6725821 


6727973 


730125 
6732270 
6734427 
0730577 
6738727 
6740876 
67430247 
0745172 


6747319. 


6749400 
6751612 


6753757 


Co-tan. 


Tang. 


Nat. Co. 


6702107 


0755902 


Natural 
Co-. ſi ne. . 


7431448 
7429591159] 
742755458 
742560657 
742365756 
(440200088 
731975854 
7417808053 
741585752 
741399551 
7411953150 
7410000 [49 
7408046 | 48 
7400092 | 47 
749413740 
2402181 


— —— — 


740022544 
739820843 
7396311042 
7394353141] 
739239440 


7390435 
7338475038 
7380515137]. 

73945541 30 
7382592 35 
7380629] 34 
737866633 
7370702] 32 
7374738] 3! 
7372773] 3c 


Nat. Si M 


47 Degrees. 


— — 


— 


1 


Tangents, and Natural Sines. 


42 Degrees. 


Sine. 


— cu 


Tadex 9. 
8296833 
2205. 

9299589 
8300990 
40964 

8303717 
$305091 
8306404 
3307837 
3399209 
8310550 
$311950 
$313320 
8314688 
8316056 
312423 


8332405 


8333766 
8335122 
8336478 
8337833 


Co- ſine. 


— 


Co-line, 


Fndex 9. 
8676309 


8668189 
8667020 
8565 863 
8664099 


$6035 34 
8662369 
8661203 
8660036 
8658868 


8657700 


8656531 
8655 362 
8654192 


(8553021 


8651849 
8650677 
8049504 
8548331 
8647156 
8045981 
8644806 
8643629 
864245 2 
8641275 


Sine. 


Tang. 


Index 9. 

9920525 
9523061 
9225597 
9028133 
9630669 
9033204 


Co- tan. 


Iadex 10. 


0379475 


0370939 
0374403 
0371807 
0309331 
0366796 


9635740 
9638275 
9540811 
9943346 
9945881 
9648416 
9950951 

9053486 
9656020 
9658555 
9661089 
9663623 
9665157 
96686592 
221225 


9073 759 
9676293 
9678827 
9581360 
963389; 
9686427 
9688960 
9991493 
9094026 
9690559 


Co tan. 


= 


0364260 
0361725 
0359189 
0356654 
0354119 
0351584 
119349049! 
0346514 
0343980 
0341445 
0338911 
0330377 
0333943 
0331308 
0325775 
0326241 
0323707 
0321172? 
0318640 
0316107 
0313573 
0311040 
0308507 


0305974 


0303441 


—— — 


Natural 
Sine. 


1Co-fine. 


6755902 


aas 


1372775 


6758040, 


6760190 
6762333 


167641470 


6766018 
07687060 
9770901 


0773041: 


0775181 
6777320 


6779459 
10781597 


0783734 
6785871 
6788007 


— 


528 
erg 
6794413 
6796547 
6798681 


0800814 


6802940 


6805078 
5807209 
6809339 
6811409 


6813599 
6815728 


6819984 


"Tang. 


| N 
Nat. Co. 


6817856 


7370808 
7368842 
7366875 
7304907 
7362939 
730097 1 
7359202 


7357032 


7355 
7353090 
7351128 
7349140 
7347173 
7345199 
7343225 
7341250 
7339275 
7337299 
7335322 
1333545 
7331307 
7329388 
7327409 


7325422 


7323468 
7321407 
7319485 
7317503 
7315520 


. 


en 81 


6— 


47 Degrees. 


9 . A. 


IO nn —-ĩ 


— 2 — — — — — — — — 


A Table of Artificial Sines, 


43 Degrees. 


TY 


=D aw onus 


6359408 
8360750 
8362091 
8363431 
8394771 
8305109 
8307447 
8308784 
8370121 
0371456 
5372791 


18374125 


8375458 
8376790 


3378122 


Co-uns. 


Co- ſine. 


Index 9. 
8641275 
86.40096 
8638917 
8037737 
8030557 


8035370 


8034194 
8633011 
89031828 


118630644 


20409 
8628274 
8627088 
8625902 


218624714 
8623520 


8622338 


8621148 
8619958 
8618767 
8617576 
8616583 
8615190 
8613997 
8612803 
8611608 
8610412 
8609215 
8508018 
8606821 
8605622 


Sine. 


Tang. 


Index g. 
9696559 
9999091 
9701624 
9704157 
9706689 
9709221 
9711754 
9714286 
9716818 


9719350 
9721882 


9724413 
9720945 
9729477 
97 32008 
9734539 
9737071 
9739602 
9742133 
9744664 
9747195 
9749720 
9752257 
9754787 
9757318 
9759849 
9702379 
9704909 
9707440 
9709970 
9772500 


Co-tan. 


Index 10. 


0303441] 


0300909 
0298370 
295843 
0293311 
0290779 
0288240 
0285714 
0283182 
0280650 


0278118] 


0275587 


0273055 
0270523 
0267592 
0265461 
0262929 
0260398 
0257807 
0255330 
0252805 
0250274 
0247743 
0245213 
0242082 
0240181 
= 
0235091 
0232560 
0230030 
0227500 


Co- ran . 


Tang. 


Natural 
Sine. 


68 19984 
6822111 
6824237 
6826363 
6828488 
6830613 


6832737 


6834861 
0836984 
5839107 
6841229 


0843350 
6845471 
6847591 
0849711 
6851830 
0853948 
6850066 
6858183 
6860300 
6862416 


08045 32 
16866647 


6868761 
6870875 
6872988 
0875101 
6877213 
0879324 
6881435 
0883545 
Nat. Co. 


Natural 
Co-fine, 


7313537 
7311553 
7309568 
7307583 
7 395597 


73036105 


7301023 


729903515 


7297646 
7295057 
7293667 
7291677 
7289686 
7287694 
7285702 


7281716 
7279722 
7277727 
7275732 
7273739 
7271740 
7209743 
7207745 
7205747 


72037485135 


7201748 
7259748 
7257747 
7255740 
7252744 


7283709 


+ % Wo OH 


40 Degrees. 


Nat. di. 


WW 


LIE 


— 


— 
2 — 


Tangents, and Natural Fines. 


43 Degrees. 


—— 


" Sine. 


108379453 
3218380783 
1313382112 
3413383441 
1513384709] 
5.838509 
718387422 
3313388747 
131$39007 2 


4119392719 
218394041 
1313395303 
4.539068. 


50 839935 3 
918400642 


5213840722 3 


584110. 


713413785 


9013417713 
Co- unc. 


_ 4 


Index 9. 
308378122 


4013391390 


—— 


56 5412474]85742 5 


Co-ſine. 


8605622 


8603223 
8502022 
8600821 


8598416 
8597213 
8596009 
5594804 
3593599 
8592393 
8591186 
8589978 
858877 


4320488872851 


8580351 
3585141 


18]3401959|8583929 
191540327618582718 
9.844595 
5084059088 580292 


8581505 


8579078 


53104085 3718577863 
54]8$409650|4576648 


8575432 


8572998 


654150590857 1779 
6915410404 


Sine. 


Index g. 


8604423 


8599619 


Tang. 


Index g. 
9772500 
9775030 
9777500 
9780090 
9782020 
9785149 
9787079 
9799209 
9792738 
9795268 
9797797 
9800320 
9802856 


9805385 


9807914 
9310443 
9812972 


9815501 


9818030 


9820559 
9823087 


9825010 
9828145 
9839973 
9833202 
9835730 


9538259 
93549757 
9843315 
8570561 119345844 
$569 341119848372 


Co- tau. 


Co-tan. 


Index 10. 
0227500 
0224970 
0222440 
0219910 


0217380 
0214851 
0212321 


0209791 
0207 262 


0204732 
0202203 


0199074 
9097 2.44 
0194615 
0192080 
0189557 
0187028 
0154499 
0181970 
0179441 
0170913 
0174354 
0171855 
0169327 
0166798 


0164270 


0101741 
0159213 
0156685 
0154156 
015 1628 


Tang. 


| 


— 


Natural 


Sine. 


6883545 
6885655 
6887764 
6889873 


6891981 


6894089 
6896196 


Natural 


7251741 


6898302172 239712 
5900407237705 
69025121723509g8 


6904617 


6906721 


0918824[7229071, 


6910927 


7227661 


0913029|7225051 


091513! 


7223640 


091723217 221028 


0919332 
0921432]7217602, 


0923531 


7219615 
7215588 


6925630 7213574 
69277287211559. 


0929825 


7299544, 


0931922 7207523 


6936114 


0934018 7205511 
11417203494] 


6938205 7201476 
2940304 7199457 
6942398|7197438 


994449 


7195418 


6946584[7193395 


Nat. Co. 


Co-ſine. 


1253744130 


29 
7249738] 28 
[247734] 27 
7245729126 
243724/25 
7241718 24 


7233090] 20 
7231681 


at. Co.] Nat. Nat. 51. 


| | 


| 


121 


18 


16 


0 — ts us > [un oO 


"ET IO 


46 Degrees. 


— 


3 4 


A Table of Artificial Sines, 


„ 


4 
L 


44 Degrees. 


ME. 


—}} TO 


O © en 
i | 


_— 


Sine, 


Index g. 

8417713 
8419021 
3420328 
8421034 
8422939 
8424244 
8425545 
84208 1 


843077 
8432057 
8433356 
8434655 
8435953 
8437250 
8435547 
8439542 
8441137 
8442432 
8443725 
8445018 
84463 10 
8447601 
3443391 
8450181 


8451470 
8452758 
8454045 
8455332 
8456618 
Co- fine. 


8428154 
8429450 


Index 9. 


8509341 
8508121 
8566900 
8565673 
850445; 
8563222 


8562008 


8560784 
8559558 
8558332 


8557106 


8555878 
8554050 
8553421 
8552192 
8550961 


8549730 
8548499 
8547200 
8546033 
8544799 
8543504 
8542329 
8541093 
8539330 
8538619 
8537381 
8530142 
8534902 
$5 33602 
8532421 


Sine. 


| 
Co-finc. 


Tang. Co- tan. 


Index 9. 


9871123012887 


8736810126342 


9876179012382 


98963990 103601 


9898926{0101074 
999145 3199958547 
9993981[0099019 
9996308[0093492 


990993519090905 


991150210088438 


9914089{0055911 


9916616]0083334 
9919143|0080857 
992167010078330 
9924197 [097 5803 
Co-tan, | Tang. 


Index 10. 
9848372|[0151628 
98;50900[01491CO 
985 342510146572 
935595010144044 
9858484[0141516, 
986101201389 58 
986354010136 00 
936600810133932 
986859610131404 


Natural 
Sine. 


6945584 


60945676 
09307067 
6952858 
0954949 
3 
6959128 
6961217 
6963305 
6965 392 
6997479 
6909505 
9878706]0121294 [10971051 
9881234|0118700 
988370110110239 
9886289011371 
9888810[0111184 
9891344]0108656 
9893871]0100129 


6973739 
6975821 
09477995 
6979988 
0982071 
0994153 
69362 34 
6088315 


6990399 
6992470 
6994555 
0990033 
6998711 
7000789 
7002866 
7004942 
7007018 
7009093 


P 


Natural 
Co- ſine. 


— 


23398060 
79137759 
7189355158 
718733355 
7185310|5< 
7183287 
7181263 
7179239153 
7177213057 
7175187051 
7173161]co 
717113404 
7109109 45 
715704 
7105049146 
716301914; 
7160989 \44 
7158958043 
71569274 
7154895 
7152503 4c 
7150539136 
7148799138 
7149702137 
7144727130 
714209113; 


— ——— — 


= 


7134543131] 
7132505 [36 


Nat. Co. 


Nat. dl. 


45 Degrees. 


„ 9 


—  —— 


Tangents, and Natural Sines. 


44 Degrees. 


\ 


Tang. 


Index g. 
85 3242119924197 
$531179]|9920724 
3529936992925 


9931778 
9934305 


9936832 


9239359 
9941880 


9944413 


9940940 
9949466 
9951993 
9954520 
9957047 


9959573 
9902100 


9964627 
9997154 
9969580 
9972207 
1997 47 34 
9977200 
979787 
9982314 
9984840 
987367 
9989893 
9992420 
9994947 
9997473 


Index 1o. 
O000000 


| 


19 


Co-tan. 


COOOOOD 


Natural 
Sine. 


[029093 
7011167 
7013241 
7015314 
7017387 
2012482 
7021530 
7023601 
7025671 
7027741 
7029810 
7031879 
7033947 
7036014 
7038081 
7040145 
7042213 
7047278 
7046342 
7048406 
7050469 
78525 
1954594 
7950055 
7058716 
7050776 
FN 
7064894 
7066953 
7009011 


7071068 
Nat. Co. 


45 Degrees. 


wu 


* 


_ 
* 2 - * 
— "OF m * 
_ 0 — —— — 
EP 


De. 


>— — — 


—ẽ h - 


136 


A Table for finding the 


| T AB LE IV. For finding the Latitude by two Altitude, | 


_— 


o Hour. 


i 


* 


S la U N a 


Log. 
Half 
Elapſed 
| Time. 


2.66121 


2.36018 
2.18409 
2.05916 
1.96225 
1.88307 
1.81613 
1.75814 
1.70700 
1.66125 
1.61986 
I.58208 


1.54733 
1.51515 
1.48520 
1.45718 
1.43086 
1.40605 
1.38258 
1.36032 
1.33915 
1.31896 
1.29967 
1.28120 
1.26349 
1.24647 
1.23010 
1.21432 
1.19910 
1.18440 
1.17018 
1.15642 
1.14307 
1.13013 
1.11252 
1.10536 
1.09348 
1.08193 
1.07067 


1.05970 


| Log. 
Middle 
| Time. 


2.63982 


2.94085 
3.11694 
3.24187 
333828 
3-41790 
348490 
3-54289 
3-5 9493 
3-03978 
3.68117 
371895 
375379 
3.78588 
3.81583 
3-34385 
3.97017 
3.89498 
391845 
X22 
3.96188 
3.98207 
4.00130 
4.01983 
181254 
405456 
4-07093 
4.08671 


4.10193 
4.11663 


+1308; 
4-14461 
4-15796 
4.17090 
418340 
4.19567 
4+20755 
4.21910 
4.23036 


424133 


| 


| 


1.37654 
1.97860 
o. 33078 
0.58060 
0.77448 
0.93284. 
1.06673 
I.18271 
1.28502 
1.37053 
1.45931 
1.5 3488 
1.60440 
1.66877 
1.72869 


1.78474 
1.83739 
1.88703 
1.93399 
1.97854 
2.02091 
2.06131 
2.09991 
2.13087 
2.17232 
2.20038 
2 23915 
2.27073 
2.30120 


Log. 
Riſing. 


— — 


2.35910 
2.38667 
2.41338 
2.43930 


2.48393 
2.31271 
2.53586 
2.5584? 


2.58039 


2.33063 35 


2.46447 [32 


Log. 
Half 
Elapſed 


Time. 


1.04901 
1.03857 
1.02838 
1.01843 
1.00870 


0.99918 
0.98988 
0.98077 
0.97184 
0.90310 
0.95454 
O 94014 
0.93791 


G.92189 
0.91411 
0.90646 
0.89894 
0.89156 
0.88530 
0.87717 
0.87015 
0.86324 
0.85044 
0.84976 
0.34317 
o. 8 3669 
0.83030 
0.82400 
0.81780 


o. 81169 
0.80507 
079975 
0.79307 
0.78809 
0.78239 
9.77677 
9.77122 
0.70574 
O 70033 


0.92982] 1 


Log. 
Mg 
Time, 
Lid. 4 . 


25202 
26246 
27205 
28260 
29233 
30185 
31115 
32026 


132919 


—— — 


38692 
39457 
40209 
40947 
41073 
42380 
43088 
43779 
44459 
+5127 
45780 
46434 
47073 
47703 
48323 
48934 
49536 
50130 
50716 
51204 
51804 
52426 
52981 
$3529 


54070 


912.79124 


2.69262 


2.70170 
2.72036 
2.73863 
2.75652 
2.775cz| 


2. 80809 
2.82461 
2.34083 
2.85675 
2.87238 
2.88773 
2.90282 
2.91765 
2.93223 
2.94656 
2.96067 
2.97454 
2.98820 


3.00164 
3.01488 
3.02792 
3.04977 
3.05342 
3.99599 
3.07819 
3.09032 
3. 0227 
3.11406 
312570 


| 


3.17072 


3.13718 


ö 


3.14850} 
3.15969 


+.18:52 


K YE -4 wc WT; Tz 


Latitude by tuo Altitudes, 


„ „ 


O Hour. : 


Log.+ 
Elapf. 
Time 
Ind. o. 


— — 


75499 
74972 
74451 
73937 
7349 
72926 
72430 
71940 
71455 
70976 
70503 
7003+ 
29571 
2113 
68660 
68212 
97759 
7896 
66466 
66041 
65620 
65 204 


64791 


64383 


63975 
63578 


62789 
62400 
62014 
61632 
61254 
60879 
60908 
60 140 
59775 
59414 
59056 


| 58700 


631816 


Log. 
Mid. 
Time 
Ind. 4. 


54004 
55131 
55052 
56166 
56674 
$7177 
57673 
58163 
58648 
$9127 
59600 
60069 
60532 
60990 
601443 
61891 
62334 
62773 
63207 
63637 
64062 
64483 
64*99 
65312 
65720 
66125 
66525 
6922 
67314 
67703 
68089 
68471 
68849 
69224 


69595 


Log. 
Ri- 
ling. 
Ind 3. 
19238 
20301 
21351 
©4309 
23414 
24427 
25428 
26418 


27396 
28363 


—k — . 


29320 
30266 


31202 
32128 
33944 


33950 
34547 
35734 
36613 
37482 


38343 
39195 
40039 
40875 
41702 
42523 
13334 
44138 
44935 
45724 
46507 
47282 
48050 
48811 
49566 


- ” 


I Hur. 


+ 


30 
00 


30 


O0 


Log 

Klar 
Time 
22. o. 


58348 
57999 
57653 
57310 
56970 


| Log. 


Mid. 
Time 
Ind. 4. 
71755 
72104 
72450 
72793 


73133 


56633 
56298 
55990 
$5937 
$4311 
54987 
54600 
54347 
54031 
$3718 
53400 
5 3997 
52791 
52457 
5218 

51886 
51589 
51294 
5 1002 
50711 
50423 
$0137 
49852 
49570 
49299 
4903 2 
48730 
48402 
48189 
479'9 
47650 
47384 


17119 
468 56 


73470 
73805 
74137 
7440 
74792 
75110 
75437 
75756 
76072 
70385] 63407 
76697| 64043 
77005 
77312 
77616 


78.17 
78514 
78809 
79101 
719392 
79080 
79966 
80281 
80533 
80813 
81091 


8136717 


8164 
$1914 
82184. 
8245 
32719 
82984 
83247 


46595 


83508 


77917 


J 


"S: 


A Table for finding the 


1 Hour. 


 119B eZ 
Elapf. 
Time 
Jud. o. 


Log. 
Mid. 
T 1. e 


Ind. 4. 


+0335 
4607 8 
145322 
45507 
45315 


84025 


84788 


45994 
44815 
44307 
44321 
44977 


43534 
43592 
43353 
43114 
42878 
42642 
12409 
42176 
41945 
41716 


86511 


83 b8. 


85039 
85288 
35536 
85782 
85026 
86269 


86750 
86989 
87225 


Log. 

Ri- 

ſing. 
Ind. 3. 


78573 
79105 


5728179634 
84836, 


80159 
S082 


81201 
81717 
82230 
92739 
83246 
8 749 
84250 
84748 
85242 


87461 


87094 
87927 
88158 
88387 


80223 
86709 
37192 
87072 
88150 


37405 


41488 
41261 
41036 
40812 
40590189513 
40308 
40149 
39930 
39713 
39497 
39282 
39069 
38856 
38646 


38227 
38020092083 
37814092289 


3700 92494 
9269815 


88615 
88842 
89067 
89291 


90173 
90390192331 
90606192782 
90821 


9103493679 
91247 
91457 
38436021657 
91876 


88625 
89097 
89507 
90034 
90498 


8973490900 
8995491420 
91876 |. 


93232 
94123 


95005 
95443 
95878 
96311 
90742 
97170 


85734 


94566 


Log.z 


Time 

Ind.o. 
37203 
3-001 
36801 
36602 


36403 


Elapl.| 


4-9 2900]: 


4.93302 
493501 


36206 
36011 


35816 


35622 


35238 
35047 


35429 


34858 
34669 
8134482 


3429) 


33925 
33742 
e 


33378 
33197 
33018 
3283914972044: 


320611[4-97442]4- 


32485 
32309 
3213404 97969 [% 
31960 
31787 
31614 
31443 
31272 
31103 
309344 20e 


494287 


4:94074 
494865 


4.96361 


497085 


49701814 
4.97794 


4.981434 


4. Hast: 
4.99000 


30766 
30599499504 


30433 
30268 


30 103 


499337 


4.996704. 
4.998354. 


4.944814 


49505604. 
4-95 24514-0254 
49543404 

4-9502114 
4-95508[4-0374 
3411049599304 

49617804. 


4.931023. 


4.937003. 


4.93897 3.90 
4.940924. 


4:9954414:05 
4:9072514: 
4.909004. 


4.983164. 


4.984894. 
4.986004. 


500000 . 


Latitude by ted Altitudes. 


» C3 12 C. ©C> CI © 
—— 12 [3 


C2 < 
wh + — 


» CI 


- * 
* — * 


05962125731 


2 Hours. 
Log. 2] Log. | Log. Log.] Log. 
Mid. | Ri- Elapf.] Mid. 
Time | ſing, Time | Time 
Ind. 5. Ind. A4. Ind. o.] Iud. 5. 
5016411305 5 24006009 
00327113406 23871100232 
048913756 2373806365 
00650114104 23605106495 |: 
00810114451 23472106631 
0997014797 23340]00763 
01129115140 2320900894 
01287115483 23078] O%ͥ 
61444115824 22948107 i55 
01601115163 2281907284 
0175716501 22690|0741 z 
01912 16838 22561 07542 
02066117173 2243340670 
02219117507 2230007797 
02372117839 2218007923. 
02524118171 2205408049 
02675 [18500 3021928808175 
02826118829 2180308300 
02976119150 2167908424 
0312519485 21555108548 
03272119600 | 21432103671 
03421120129 21309108794 
03598}20451 21137108916 
03714120771 21060109937 
03859121091 2094509158 
0402421109 | 20824109279 
04148021725 20704409399 
04292122041 259595109518 
04435|22355 204660963 
0457 [22605 20348109755 
0471812 980 20230109573 
04859123290 20113109998 
04999123599 19999] 10107 
95139123907 19598010223 
052781824214 19704110339 
0541623520 19648110454 
2555324825 19534/105093 
05 69025 128 1942018683 
05 826025430 1930610797 


19193 


10910 


FE 
a 
—— W.}s8=0O0O 


2 —— 


— — — — — — — — 


OB 


= - —_—_ — 


an e=—w—_—_ OI WER Sr IE ITS er Oo Aer "SO - 


— mn ge — a 


I re CE RTE EE = 
, — 


, OS 
—U—ñ. —————G@o—_ 


1 
4 
: 
: 


— 
a 


A Table for finding the 


1 Hour. 


LUge3 
Elapf. 
Time 


Jun. o. 


1 


5 u. S 


42335 


46078 
45822 


45567084536 
84788 


$3375 


4525485039 
44815 85288 
44307 
44321085782 
44077185026 


35530 


1383485269 
43592086511 
43353186750 
43114/86989 
42878087225 


Iad. 4. (Ind. 3 


53 687857340 
84025 72625 41 
34281179034 || 41 
3058 42 


8120143 


81717 [43 
82230 || 44 
52739 || 44 
83240 || 45 
874945 
84250 46 
84748 || 46 
8524.2 || 47 
857341} 47 


42042] 87461 
42409] 87094 
42176187927 
41945/88158 
41716188387 


390 


39713 
39497 
39282090821 
6991034 
3885691247 
3864691457 
3843621597 


4148888615 
41261188842 
41036189067 
40812189291 
405 90895 13 
40308 
10149 
3993090173 
90390 
90606 


38227 91876 


37814 
37609 
37405 


33020192083 


92289 
92494 
9269805 


80223 || 48 
86709 || 48 
37192 || 49 
87072 || 49 
88150 50 
58025 || 50 
89097 j| 51 
89507 || 5! 
90034 || 5% 
99498 j| 52 


909600 53 
9142033 
9187654 
92331 j| 54 
92702 55 


897 34 
89954 


93232 || 55 
9367956 
9412311 56 
94566 | 57 
95205 | 57 
95443058 
9587858 
a fs 59 
1 4 59 
97170 


Log. 2 
Elapl. 
Time 
Ind. o. 


Log. 


Time. 


Middle 


301] 37203 
GO] 3-001 
30] 30801 
oo 36602 
39] 30403 
0036206 
30136011 
90135816 
30135622 
90135429 
30135238 
00135047 
30134858 
34069 
39134482 
091] 34293 
34110 
33925 
33742 
33559 


33378 
33197 
33018 
32839 
30132661 


4-929001 3.97597 
4+9310213.93021 
4.9330213-9544 
493501 3.98802 
+23 70013-9920 


4+90725 
4.969064 
4.97085 
49720414 
4-97 442 
4-97 01814-0755 
497794142" 
4 97909[4:0 
498143 
4.983164. 
4.984894. 
4. 9866004. 
4. 988371 
4. 99000 
404 4 99169|4-1991 


4-99337 
4.99504 4 
4-99079[4- 
998350. 


50900 


493897 3.996% 
4-94092 [40010 
4-94287 [400521 
4.94481 
4:94274 [£21 
4.94865 
49505604. 
495245 
4.954344 
4.256214 
4.95808 
4.95993 
4.96178 
4.96361 
4-995 4414-05 


Latitude by 1409 Altitudes. 


139 


2 Hours. 
k | Log. | Log. | Log.] Log. | Log 
Mid. Ri- Ns Elapf.] Mid. | Ki- 
Time | fing, Time | Time | ſing. 
Ind. 5. 1nd.4. Ind. O. Ind. 5. Ind. 4 
30164113055 || 20130 24c06|9H097 [20031 
0032713400 || 21 [00 238-1106232|20330 
00489113750} 21130 2373806365 [20628 
0263014104 || 2210023005 05495 |20924 
00310114451 }} 221391234” 2 06631 j27220 
02970] 14797 jj 23199153349 86763127514 
01129115140} 231329 23209| 00894 |27807 
01287115483 || 24j00[23075107025 25099 
01444|15824 || 24139122948107 155 (29391 
01601015163 25 [2281972842881 
o1757|16501] 25130 22690] 0741 3]28909 
01912116838 || 261090]22501107542[29257 
02066|17173|| 26139|22433]9/0791295 44 
02219|17507 2702230997797 29830 
82372/17839 27132 2218007923130115 
02524/18171 28480022054 08049130398 
0267518500 l 28830021928 0817530681 
0282618829 292180308300 30963 
029761191500 29130 21679|08424|31244 
031251948 [30902185 08548131523 
632719 300300 21432ʃ0807 1021801 
03421i|20129 j1 31199121309 08794132079 
0256820451 31 39121197 08910132355 
03714120771) 32[00|21000199937 32631 
03859121091} 32132129945 0915813290 
04024121109 jj 33|99]205241092 9 33180 
04148021725 U 333% 970493993345 
04292122041 34429525 09518 33724 
26668[04435|22355 | 34139 204.60] 99037 [33995 
2552600457 [22605 j| 35190 203481099755 34205 
253851047182 .989 || 35130 12923010957 3134554 
25244104559 23292 | 30]00]201131c9392 34802 
2515449992359 j| 36139 [19999| 10107 [35009 
24954|05139|23997 j| 37 [99 [19-891 10223135335 
243825105278|24214 1] 37 30 19724110339 35 600 
24087 ]05416|24520 || 39109 199438]109454|35805 
24550105553] 248251} 38130119534 10569| 36128 
244130569025 128390019429 10683136391 
Aide my 39130 19306 e 
241411[05962125731 40 001191931 10910 36913] 


- 1 


een — — 2 
- 1 


— - - 
— — . K. ep 


140 


| 


—— — — 


A Table for finding the 


2 Hours. 


Log.z 
Elapi. 
Time 
Ind. o. 
19080 
18968 
18857 
18746 


118635 


18525 


5118415 


18306 
18197 


18089 
17981 
17874 
17767 
17600 


1755+ 


Log. 
Mid. 
Time 


14957 
15052 


Log. 
Ri- 
ling. 


Ind. 5. Ind. 4. 


11023137173 
11135|37432 
11246037690 
11357037948. 
11468038204 
1157838400 
11688038714 
117970389686 
119061039221 
12014/39473 
12122139724 
12229139975 
12336140225 
1244340474 
1254904722 
1265440909 
12759041215 
1286441461 
1296841706 
1307141950 
13174042193 
13277142435 
13379142077 
13481042918 
13533043158 
1368443398 
1378443636 
1338443874 
13984044111 
140834348 
1418244583 
1428044818 
14378045052 
1447645 286 
15539[14573[45518 
1450945750 
14765045981 
14861 


40212 
46142 
1521 


7 — 
% 
Ly 


= 


— nene e c oy 


Latitude by two Altitudes. 141 


3 Hours, - 3 
=} og. 4 Log. 
| al Kid. K Elapf MS. | Kr 
Elapſ. | Mid. | Ri M| s . > 
Ms |Time | Time ling. [Time Time F 8. 

Ind. o. Ind 5. Ind. 4. . . o. Ind. 5.144. 4. 


63166 
186085 5496 40300859 ][ 21505 

— 5 14208 1868755698 4008531021571 69347 
21 [30111337 18766155900 | 4130198466] 21637193528 | 
22400112591 844/5610 42008401 on 24255 ll 
22|30)11181[18922[56301 || 42] 3012833612176 5 6 * 
23 00 1110418999550 430008271 1 1 2 7 [| 
5] 1927] 1907615601 2 e eg 

119 53150900 || 44| 0c 

5 18353 5 57098 [44035 — . 24003 | 
25 j00[10797| 1936157296 || 45} 20JoBorg [220581047 


— — 


22151104957 (| 
eee 
26100] 10645 6 65310 
26130110570119533 Bey qo = —— 22338162486 
27 30 10421 19682 2 = —.— 22462 65806 
26100110347 1988658865484 07570 [28594 Jose 
e 10199] 1990458359 || 4900075 18|22585] 66134 
2900 | 64666 
61 4 ters 2857505824, bed Fad e) 22786663 3 
30 2 — . — Yo 39744 5 = 07327 22766 86702 
3030 09981 20122 59430 - 2 45 22826 66874 
31 [oc [oggog ng 27 51 300% 2172288667046 
326970520138] 6000855 8 2 

5 230040073 
33100109923 . . 53 30 06987 23123067728 
33130109352 | 80167897 
21] 69765 || 54| 00106923231 

340009482; 20521] 69765 lo686c [2222868066 
F 
100 09342(27261[61139 [83 [88771 3 68503 
eee 2089961312 Sees 06694 [23429] 6357 
3 1 6637 2346668738 
363009135 20968 ou $0130 ua} $3523 68905| 
37 [oofcg9067 | 21036 on 2 37, o|c6524|23579|69071 
588 7. 6228866568 27825 09237 
138]oo[08931|21172 rac 4 14 x hs 23691 69403 
bh 30 e, $444. Fe $48 4 4 06357 23746069568 
13900087972 0 80116 
39]30[08730[21373]62802 2425 5 23856 69897 


9 


| 


OOTY Rp RES CTYRP AD GY ee 08 _ ew (3 5b GQGCws SS) ow» 


mu” 
mo 


| 
| 


A Table for finding the 


4 Hours. 


Rs 


Log. 
Mid. 
Time 


Log. 
Ri- 
ſing. 

Ind. 4. 


70001 
70224 
70387 
70550 
70712 
70874 
71036 
71197 
71352 
71518 


71678 


71837 
71996 
72155 
22313 
72471 
72028 
72786 
72942 
73093 


73254 
73410 
73505 
73720 
73874 
74028 
74182 
74335 
74488 
74041 
74793 
74945 
75996 
75247 
75398 


75549 
75099 
75848 
75997 
76146 


L. og. 
Elapl. 
I1me 
Iud. o. 
24228 
04184 
04141 


0104098 
04055 


04012 
03909 
93227 
03885 
03843 
03801 
03760 
03719 
03678 
05638 


— — 


03597 
93557 
03517 
03478 
O 438 
03399 
03360 
03321 
03283 
03245 
03207 
03170 
03132 
03095 
03058 


Log. 
Mid. 
Time 
Lad. 5. 
25875 
25919 
25962 
26005 
26048 


20091 
26134 
26176 
26218 
26260 
26302 
26343 
26384 
26425 
26466 
265 00 
20546 
26586 
26626 
26665 


26704 


26743 
26782 


268 20 
26858 
26890 
26934 


26971 
27008 


27045 


03021 
02985 
02949 


02913 


02841 
02800 
02771 


2102730 


02701 


270821 
27118 
27154 


2719 
27226 


27202 
27297 
27332 
27367 


27422 


L atitude by 1400 Altitudes. 


143 
4 Hours. 2 5 Hours. 2 2 
— [Log :\ Log. | Los: Log.; [ Log. | Log. 
Elapf — | Ri- Elapk Mid. | Ki- 
S Time |Time | fing Time | Time | fing. 
Ind. o. Ind. 5. Ind. 4. Ind. O. Ind. 5 Ind. 4. 
30 02667127430 81950 01480\|28623|87116 
0010263327470 |5209 01455 |286048157239 
3002 59927504 82226 0143028673087362 
oo o2665 27538 82360 01405 2869887484 
3002532027871 82494 01381128722 87606 
00102 27604 8202 O1357 28746 87728 
30 02206 27637182761 01333128770 87850 
00|0243327670|32594 || 01309 2879437971 
300240027703 8 5027 01246|28817|88092 
00|02368]277 25153159 01263|28840]388213]} 
\c|[301023:6|27707[53291 01240|28863]88334 
00 8 27799183423 01217128886 88454 
30 0227227831083 01194 |28909] 38574 
00|02241|27862|3308s5 01172|28931]88694 
300221027893 83816 01150ʃ28953J[T88814 
00102179 27924153947 01128|28975|58933 
3002148827955 84077 0110612899718 9052 
o0102118|27985 84207 01084429019 /8917 
40 30[o2088 28015 84 o o 1063 2904089289 
50|00[02058|28045 84400 0104229061089 407 
3000202828075 8459 51021 29082189525 
0001998] 28105| 54724 o 1002910389643 
30 01969128134 00980|29123 89760 
0101940128163 o0960|29143] 89877 
zo01911|]28192 00940| 29103189994 
o0101882|28221 00920|29183|goll! 
z0101854|28249 o0900|29203190227 
0@[01826128277 00881|29222199343 
300179828305 09862|292411992459 
0010177028333 0084.3 29260190575 
3001743128 300 00824 | 29279] 90090 
00]01716|28337 0080; | 29298] 90305 
z0101689]28414 00787 | 29316|90920 
0010166228441 00769| 29334191935 
z0]01635|28468 007511] 29352191149 
0001609] 28494 007 33|29370|91203 
zoſo1583]28520 00716] 29387191377] 
oojolgg7|28546 o0699 | 29404] 91490 
zo[01531 28572 9827. 2942191603 
doloo!otgog! 28598 00665129438 91716] 


/ 


A Table for finding the Latitude, &e. 
5 Hours, TI 


Log. 4 
Elapſ. 
Time 
Ind. o. 
00648 
00632 
00616 
00600 
00584 
00568 
88352 
005 38 
00523 
00508 
00494 
00480 
00466 
00452 


00438 


00425 
00412 
©0399 
00386 
00373 
00361 


00349 
09337 
00325 
00313 
00302 
00291 
00280 


00269 


00259 


00249 
00239 


00229 
00219 
00209 


00200 
00 191 
00182 


00174 
0168 


Log. 
Mig 
Time 
Ind. 8. 


— 


29455 


29471 
29487 
29503 
a bt 4 
29535 
29550 
29565 
29580 
29595 
29609 
29023 
29037 
29651 
29665 
29078 
29691 
29704 
29717 
2 
29742 
29754 
29766 
29778 
222 
29803 
29812 
29823 
29834 
29844 
29854 
29864 
29874 
29884 
29894 
29903 
29912 
29921 
29929 


29937 


Log. 
Ri- 
ſing. 

Ind. 4. 


91829 
91942 
92054 
92166 
92278 
92390 
92501 
92612 
92723 
92834 
92944 
93054 
93164 
93274 


9 1492 
93601 
93709 
93817 
93925 
94933 
94141 
94248 
94356 


94570 
94676 
94782 
94888 
94994 
95100 


95205 
95415 


95024 
95728 
95832 
95936 


96040 


2388 


94493] 


9531005 


95520N2/ 


51 
52 
52 
153 
53 
54 
54 
£2 


Log. 2 
E 
Time 
Ind. o. 
00158 
OO150 


OO1 34 
00127 
00120 
00113 
00106 
00099 
. 1 
00087 
00081 
0007 5 
00070 
00065 
00060 
o Og5 
ooo o 
00045 
©0004 1 


00033 
00029 
00026 
00023 


00029 
00017 
oOOls 
00012 
OOCOIO 
28 
©0008 
00007 
©0005 
©0004. 
00003 
©0002 
©0001 
©0000 
00000 


00000 


ö 
00142 


00037 | 300 


914-9554] 


n... 


Log. 
Rifing, 


4.96143 
4.96246 
496349 
196457 


4.96666 
4.967% 
4.96860 
4.96961 
4 97062 
4-9716; 
4-97204 
4.97365 
4.97403 
4:97505 
4-97 65; 
4.97765 
4-97 86; 
4:97964 
448063 


4-98162| 


4.98261 
4.98359 


mn W-Y 


Of Kg. Parked Stnr, G. 


14 


| 


„ 


ö 


| 


| 


1 


Tangents and Secants. 


TELE V. Of Log. Verſed Sines with Natural 


— 


DIM 
070 


. 
O 


0 TLogce 
51. Ver. Si. 


Il 0,000 


9-9999 
9.9987 
9-9975 
9.9962 
9-9949 


99930121454 


9.992 3 
9.9977 
9.9898 
9.9885 
9.9872 
9:9859 
9.9846 
9.9833 


pe 
03201 


03492 


03783]: 


9.9819194074 


9.9806 


9.9793 


219.97 80 


9.9766 
9.9753 
9-97 40 


9-9726|c 


9-9713 
9.9699 


04.306 
04657 
04949 


Infinite 


3437+7 
34377 
171.88 
114.59 
85.940 
68.750 


1.0020 
1.0022 


— — — 


Co. 


Secant 


9 4 Nat. 


Co. Se. 


343.27 
171.89 
114.59 
85.946 
08.757 


57-299 
49-114 
42.97 

38.202 
34.382 
422 8 


Secant 


T— — ͤ — A A — 0 
* — 


* — — EIS 


— 


KALE L — * 
. 


. — 
I o 


= — — — TRE —_— 1 
._ -_——_ —̃ — — — —-— hd 
> a 2 2 A” — mn A 


Of Log. Verſed Sines with 


oo] 


7 ic18.1062 


Log. \ LogCo 
Ver. Si; Ver. Si. 
7-738619.95 20 
. 
7+785519-9492 
7.808019 9478 
7-830019.940 4 
7-551519-9450 
7-872419-9435 
7.8928[9.9421 
7-912719-9407 
729325 
7.95139 


7.9882 
8.0061 
8.0236 
8.0408 
8.0570 
6.07 41 
8.09031 9+ 


8.1218 
8.1372 
8.1522 9.9202 
8.1671 

8.1816 
8.1959 
8. 2 100 
8 2239 
8.257509. 
8.2509 


7:909919:9394113757 


Nat. 


Nat. 4 
LIE: 


Co. Ta 
105 109.5144 
92553 
9.0098 
8.7769 
3.5555 
8 3449 
8. 


Nat. 


Secant 
1.0055 


1.0061 


1.0071 


1.0075 


Co. 


Secant 


1.0058 


1.0065 
1.0068 


1.0079 
1.0082 
1.0086 
1.0090 
1.009 4 

1. 00987. 185 
1.0102 
1.0106 
11.0111 
1.0115 
1.012016 


10124 
1.0129 


1.0134 

10139 

1.0144 
1.0149 


1.0154 
1.0159 
1.0164 
1 1-0170| 5.45074 
1.0176] 5. 
1.01815. 

1.0187 
1.0193 


1.0199 
1.0204 


1.0211 
10217 


pat 


iS) 


Natural Tangents and Secants. 


147 


E | 


— 
— 1 


| Log Co 
11 Ver. Si. 


Yo” 


Lat. 
Tan g. 


5 * 


Secant 


ay hy 
Phot 


Nat. 
Co. Se. 


Secant 


D 


78 


SI 
O 


741. 


i Ver. Si 


148 


Of Log. Verſed Sines with 


& 4 


4 

O 
10 
20 


40 
50 


Log. 
Ver Si 


— — — 


8.6897 


8.705 5 


308.7133. 
8.7210 
8.7287 
8.7362 
8.7438 
8.7512 
8.75865 
8.7659 
2735 


4 
44 


Ver. Si 


8.6976 


205 9. 


Ver. Si 


319 7790 
9.7771 
e 


Log. 


Ver. Si 


Log Co 


9.8395 
9.8377 
9.8360 
9.8342 
9.8325 
A 


Nat. 

Tang. 
32491 
32813 
33136 
33459 
33783 
34107 
34432 


34758 
35084 


3541 


35739 
36067 


39955 
3939! 
39727 
42064 
40402 
40741 
41050 
41421 
41762 


42104 


12447 


9142791 


43135 
13481 
43827 
44174 
Co. 
lang. 


Nat. 


Co. Ta 


30777 
3.9475 
3.0178 
2.9887 
2.9600 
2.9319 
2.9042 


2.8770]1. 
2.8502 


2.8239 
2.7980 
LEES 


1.0555 


Secant 


Hz 
18 


— 
© 


=\ & | 


— — 


2 — 


Natural Tangents and Secants. 


= 
O 


Log. |LogCo 


Ver. Si 
8.9468 
8.9427 
8.9480 
8.95 44 
8.9602 
8.9059 
8 9717 
8.9774 
5.9830 
8.9880 
8.9942 
82297 
9.005 2 
9-0107 
9.0101 
9.0215 
9.0268 
90321 
90374 
9.0426 
9.0478 
9.2530 
9 0582 
9.— 33 
9.0684 
9:07 34 
9.0784 
9.0834 
9.0884 
9 0933 
9.0982 
9.1031 
9.1079 
9.1127 
9.1175 
9122 
LogCo 
Ver. Si 


Ver. Si 


97732 
9.7713 
9-7693 
97674 
9.7654 
9:7034 
9-7015 
9.7595 
9.7575 
9.7555 
9.7535 
9 7515 
9.7494 
9.7474 
97454 
9.7433 
9.7413 
9.2392 
9.7372 
9.7351 
9.7330 
9.73 10 
9.7289 
9.7208 


97247 
9.7226 
9.7205 
9.7104 
9.7162 
9-7141 
9.7120 
9-7098 
9+7077 
9.7055 
97033 
9.7011 
Log. 


Nat. 
Tang. 


— 


4 
44871 
45221 
45572 
45924 
460477 
46630 
40935 
47 340 
47097 
48055 
45413 
48773 
49133 
49495 
49858 
502 21 
50586 


50952 
51319 
51687 
52050 
524.26 
52798 


Nat. 
Co. Ta 


2.2460 
2.2286 
2.2112 


2.1942 
2.1775 
2.1609 


2.1445 
2.1283 


2.1123 
2.0965 
2.0809 
2.0655 
2,0503 
2.0352 
2.0204 


2.0057 . 


1.9912 
1.9768 


1.9626 
1.9486 


| 9347 
1.9210 


1.9074 
1.5940 


53170 
53544 
53919 
34295 
54672 
95851 
55430 
55811 
56193 
56577 
56901 
$7347 
"Co. 


1.8807 
1.8676 
1.8546 
1.8418 
1.8291 
1.8165 
1.8040 
1.7917 
1.7795 
1.7675 
1.7555 


1 2427 
Tang. 


1.1415 


Nat. 
Secant 


1,0946 
1.0961 
1.0975 
1.989 
1.1004 
1.1019 


1.1034 


1.1343 
1.1361 
1.1379 
1.1397 


1.1433 


1452 
1471 
1490 
1508 
1528 
Co. 


Nat. 
Co. Se. 


24586 
2.4426 
2.4269 
24114 
2.3901 
2.38 11 


2. 3662 


2˙3515 
2.3371 
2.3228 


2.2949 
2.2812 
2.2670 
2.2543 
2.2412 
2.2282 


2.2153 
2. 2027 


2.1902 


2 1779 
2.1657 


2.1537 
2.1418 


— ́öͤt .— 


2. 1300 
2.1185 
2. 1070 
229957 
2.0840 
2.07 36 
2.0027 
2.05 19 
2.0413 
2.0308 
2.0204 
2.0101 


2. 3087 


Secant 


— 


Ver. Si 


Tang. 


S a 
—_—— —_—_ 


joe" 
—— 


150 


Of Log. Verſed Sines with 


D 


30 


ö 
þ 


M 


.O 
O 


20 
30 
40 
50 

O 
10 
20 
30 
40 
50 


Log. 
Ver. Si 


1 


9.1861 


9.199! 


9.2287 


o 9 2329 
9.2370 
20 9-241 I 


9.2452 


409.2492 


9-253 


019-2573 


9.2013 
9.2658 


30 9.2092 
9.27 3219+ 


9. 2771 
Log Co 
Ver. Si 


9.1270 
9.1317 
9.1364 
9.1410 
9-1457 
9.1502 
9-1548 


9.1639 
9.1084 
9.1728 
21723 
0 9.1817 
10 
20 
30 
40 
50 

O 


9.1905 
9.1948 


22 
*? 
9.2120 
9.2162 
30 9-2204 

9.2246 


LogCo 
Ver. Si 
9.6990 
9.6968 
9-6946 
9.6924 
9.6901 
9.6879 
9.6357 
96835 
9 6812 
9.6789 
9.0708 
90744 


Nat. 

Tang. 
57735 
58123 
58513 
58904 
159296 
59990 
60086 
60482 
60880 
61280 
61680 
62083 
62486 
62892 
63298 
63707 


64116 
— RUL 


Co. Ta 
1.7320 
1.7205 
1.7090 
1.6977 


1:6753 


Nat 


1.6864 


Secant 


Nat. 
Co. Se 


281 


Natural Tangents and Secants. 


151 


Tx 
=> 4 


Log. 
Ver. Si 
9.2810 
9.2849 
9.2887 
9.2926 
9.2964 
9. 3002 
9. 304? 
93977 
9˙3115 


99.3152 


4019-3159 
50 9:3226! 


O 9˙3 9.320 


1019-33920 
209.3336 


019.30 

lon 2255 
205 9.370: 

3919- 3795 
40]9-35829 
— 933853 
919.3897 
119.3939 
209.3954 
309.3997 
4419-431 
$21 9-4003 


Ver. Si 


Log Co 
Ver. Si 


Nat. 
Tang. 


9.0151] 
9.6126 
9.6101 
9.6076 
9.6051 
9.6226 
9.0000 


95950 
95923 
9.5899 
23873 
95847 
95821 
95795 


19-5709 
9.5743 
225 


9.5589 
9.5603 
9 5637 


9.5610. 


95583 


9.5975 


72054 
73099 
73549 


73996: 


4447 
24900 
75355 
75812 
70271 
70732 
77195 
[77601 
78128 
75598 
7 900g 
79543 
80019 
80497 
80978 


51461 


81946 
$2433 
$2923 
$3415 
83909 
84406 
84906 
85408 
85912 
86419 
80928 
87440 
87955 
88472 


88992 


89515 
Co. 
Tang. 


Nat. 

Co. Ta 
1.3704 
1.3680 
1.3597 
1.3514 
1.3432 
13351 

1.3270 
1.3190 
1.3111 
1.3032 
1.2954 
1.28576 


1.2799 
1.2723 
12647 
1.2872 


1.2497 , . 


1.2423 
1.2349 
1.2270 
1.2203 
1.2131 
1. 2059 
1.1988 
2917 
1847 
1777 


1 — — — — wy — wy — — 
4 1 VVV 

— 

WT 

O 

+= 


Nat, 
Secant 

1.2361 

1.2387 
1.2413 
1.2440 
1.2407 
12494 
1.52 
1 
1 
1 
I 
I 


2549 
2577 
2005 
2633 
2651 


Nat. 
Co. Se. 


1.7013 O 
50 


1.0345 
1.0878 


1.681215 
1.6746 


1.6081 


1.6616 


1.653 
1.6489 
1.6427 
. 6365 
1.6303 
1.0243 
1.6182 


1.6123 
1.6064 
1.6005! 

| 3-547 


1.5895 
1.5633 


1.577 


1.5724 


1.5666 


1.5611 


411.5557 
1.5 504 


1.5450 
1.5398 
1-53+5 


hb Ck Bow Due + 


1.5242 
1.5192 
1.5141 
1.5092 
1.5042 
1.4223 
Secant 


_— 


M 


— 


48. 


8 — 


40 


8 ow 
—_— F +... Ht tos. the ths. ae. ts at. I” II 


* 
O 

1 
— tv 


* 


Of Log. Verſed Sines, &c. 


| 


9.4260 


5919-4450 


| Ver. 51 


Log. 
Ver. Si 


94097 
94130 
9.4162 
94195 
9.4227 


9.4292 
94324 
9.4356 
9.4387 
9.4419 


9-4452 
9-4513 
9:4544 


94275 


9.4606 
5019-463619 
Loge 


Log Co 
Ver. Si 
9.5196 
9.5168 
945139 
9.5111 
9.5082 
9.5053 
9-5024 
9-4995 
9.4906 
94937 
9.4907 
94877 
9.4547 
9.4818 
9.4788 
9.4758 
9.4728 
9-4697 
Log. 


| Nat. 

Tang. 
90040 
90568 
91099 
91633 
92169 
92709 
93251 
93790 
94345 
94896 
95450 
90008 


97132 

7699 
98209 
98843 


Co. 


Ver. Si 


90568 


99419 


| Nat. 
Co Ta 


1.1106 
1.1041 
1.0977 
1.0913 


1.0849 
1.0786 


1.0724 
1.0661 
1.0599 
I.0538 
1.0476 
1.0416 


1.0355 


1.0295 
1.0235 


1.0176 
1.0117 
1.0006 


Tang. 


Tang. 


Isecant 


Nat. 


Secant 
1.3460 


1.3492 
1.1527 
1.3563 
1.3600 
1.3636 


1.3673 
1.3710 
1.3748 
1.3756 
1.3824 
1.3863 
1.3902 
1.3941 
1.3980 
1.4020 
1.4061 
14101 
Co. 


14897 


Nat. 
Co. Se. 


—_ 


1-4945 


1.4879 
1.4802 
1.4755 
1.4709 
1.4663 
1.4617 
1.4572 
1.4527 
1.4483 
14439 
1.4396 
1.4352 
1.43100 
1.4267 
1.4225 
1.4183 


3 


TABLE 


1531 


TABLE VI. The Angles which every Rhumb, 
or Point of the Compaſs, makes with the 
Meridian. 


Mg 
— 
2 
E 
— 
= 
© 
= 4 
— of 
JH 
[>] 
| 
— 


North South 


0 3030 
O ptr pm 
wn » 
WW 4 


I = ww — 
O ere 
O 
wn 
[© 
VI 
O 


y 
* 
— 
2. 
77) 
tri 
RJ 
ON LINE 
S 
© N- 
Gy 
5 
+ wr” 
no 
65 
09 
S 
WV 
2 
7 
RB 
2 


O > N-ob 
2 
d 
N 
oe 
O 


+ va Us 
8852 
le 
2 
< 
2 


n+ + > 
O oe 


On wm wm 
O -A- 
O 
+ 
+ 
— 
— 
WI 


|ENE|ESE 


O 
O N- 

— 

uu 

wu 

oO 

— 

uu 


GW WW 
O phat dt 
(os) 

+ 
8 
N 
GI 
O 


154 Difference of Latitude and Departure. 
TABLE VII. Of the Difference of Latitude and Departure, © 


<- Fonds.” 
Diſt. | Lat. Des 


W - 
201 200.8 09.9 
O2] 201.8 og q 
03 202.8 10.0 


Dift | Lat. Dep. = Lat. | Dep, |[Diit 
I lor 0]00.0} 51.1 $9+91 92+ 101 
2 [o. o CO.I}} 5251.92. % 2 
303.0] oo. 1 53 52.902. 6 03 
4 [04-0] £02. 4.54 [53-9492-71| 04] 
e 
6]06.0] oo. 3 5665.9 [o. 206 
7 [07.0] 60.3 || 5736.9 o. l 07 
8 os. oſ oo. 4 53 | 57:9 192-8 || 08 
9 og. of 00.4 |} 59 58.9 o. 9 og 
_10 | 70.0 00-5} 60 $9-91022-9]|_ 10 
11|11 00.5 61 60.9 O3. 0111 
12 | 12.0] O0. 6261.9 03-0 12 
13 | 13.0] 90.6 64 [62.9 03.1] 13 
14 | 14.0] H f 64 [63.9193-1)] 14 
1515. . 6564-9 23.2015 
16 
17 
18 
19 
20 
21 
22 
23 
24 
25 


14] 213.7] to.; 

ev-7} 65 15] 214.7] 106 

16.0] 60.8 66 65.9 03.2116 216] 215.7 10.6 

17. oo. 8 67166 9193-31] 77 17] 216.7] 10 
13.0] 00.9 68|67.9103+3 18 


19.0] 00:9} 6g 63.9]93-41] 19 
20.0101. o | 


70169.9193:4|_22 


21.0] 01.0|| 71 70-9 03-5|[121 221] 220.7 16 

22.01.11 7271.91 03+} 22 22] 221.7 10.9 

23-0| Otel ff 7372.93 23 23] 222.7 11.0 

24.0 — 741739 03. 6 24 24] 223.7 11.0 

25.0] 1-21) 75074:9123:711_25| 25] 224.7 | 11.1 

2626.00 01.3 7675.903226 226] 225.7] 11.1 
272701013 7776.903827 271 226.71 

28 28.001. 4 7872.903828 28] 2277 1 

2929.0 01.4 791 78.91 93-91} 29 8] 29 228.7] 113 
32132-2225}. $0479:2123:2]} 32 r 

311] 31-0} 01.51] 87 80.9 04.0}}3 31 . | . 08.9 "231 230.7 | 1144 

3232. 001.6 8281.9 04. 0 32 ; 5 08.9 320 231.7| 114 

33 33.0 01.6 83 $2.9 04.1 33 0 29-0} 33 232.7 11.86 

| 3434-0] 91-7 8483.94 34133-8106. 09-0] 34 233-7] 1; 

3535-2 22:2} 35034-9124:3}_35 292129] 2447 [nts 

| 3636.0 01.8 8685. 904.2136 og 1 236] 235.7 | 11.6 

| 371 37.0] 01-8]} 871869904. 3 37 09.2] 37 236.7] 116 
| 38 | 38.0] 01.9 88] 87.9494-3}} 38 09.2] 38] 237.7] 11:7 
| 39 | 39 81.9 89188.9104-4}} 39 09-3] 39] 238.711 
| 20142.) 2-29 $0] 9-NRWELT 2 [22p-27 0b: 29-2]_go) £3971 15 
| 4141.0] 02. 0 9190. 904.5 4140.86. 809.4 300 299.6 | 14-7 
4241,92. 192929045 421 141-5] 07. .$]09-4| 400 399-5 | 19-* 

4342.9 —. 93929 4.6 43142 09.5 500 49944 | 45 

4443-9 92.2 94093-9046 44/143 09.5 boo] 599-3 | 294 

| £449 == 251221242145 2 _95| 294-3] 29:0] oc} 29923 | 10 
46 145-91 92-3] 9619591 04-7 11146 ' 5.8] 9.6] 800 799-0 | 394? 

4746.9 02.31] 97] 99.9 04-81] 47 | 146.8] 07. .$] 09.7] goo] 893.9 | 444 

43 147-9} 02.4 a8{ 97-9} 04.81} 48 a 8 09.7|1000 998.8 | 49-1 

| | 4948.9 92.4 99 98.9049 49 . .8] 09.81200c 1997-6 98. 
50 fag eo. 915 8 a .$] 09.8]z00c[2996.4 147- 

Diſt ep. Lt. Pin Dep. Lit, [Diſt . Pit [Tat. Dit. Dep. | Lab. 


| : | 7+ Points. 


Difference of Latitude and Departure, 155 


+ Point. 81 

— dalla Dep. DR] Lat. | Dep Dia] Lat. Dep. Di} Lat. F. Dis.] Lat. Dao, 
[51.0 00.1 5$11]$0.8[05.0 [[x01[100.5109.9 151150. 314.8201 200.0 19.9 

y 1102.0] 99-21] 52| 51.3] 05.2 ]| 2101.5 10.0 $2 [151.3] 14-91] o 201.0 19.8 
4193-0 00.31 $31] $2+7 95.2 031102. 5 10. 1 531152.3 115.0 03] 202. 19-9 
44 340 53:7 1953 0] 940 393-5| 79-21] 541 153-30 15:20} 04] 203 of 200 

[95:21 22-211..55 | 3422 [25:4 [}_o5P 212451 22:3]} 55 | 1543] 15:2]} of 204 of 20.5 

4156.01 0.6 56 $547 05. 5106105. 510. 4T5ô 155.3] 15-31] 506 20,2 

| 1107.0] 99-7]| 57 | 50-7] 05.6 || o7 106.5] 10.51] 57 156.215. 07 208.0 22 
dos. o 00. 8 58157˙7 05.7 08107. 51.6 cal 157.2] 15-51] og 207.0) 20. 3 
909.0 0.9 J 5988 7] 05.8 |] og] 108.5] 10.7 59|158.2]15-6]] og 208 C 10.4 

1010.0 10. 60 59:7] 95-91] 10| 199-5 10-81] 60 159:2]15:7]] 1of 209.0] 2o ; 


11] 10-9 OII 61 63.7 06.0 111 110.5 10.9 161 160.2 I $+7 yn rt 
1191.2 62]61.7] 06.11] 1211.51. ga |161,2) 15.8 
U. 91.30 6352.7 [06.2 x3Þ 112.5 [11-2 63| 162.2] 1549 
1113 919144 6463.7 06.3 141 113-51 11-210 64 163.2] 16.0 14 213.0 20.9 
151149 ods 65 64.2 06.4 151114 4111.21} 651164.2 16.1 


2161 215.0] 21,1 
7116.91 91-71] 67] 06-7] 06.6]] 19] 116.4 [41-4 67 1166.2] 16.3 17 ood gu 21.2 | 
18 17.9] 22-51} 681 67-7] 06.71] 18]117-4[11.5]] 68] 167.2] 16.4 18] 217.0] 21.3 
19118 9121-91] 69 | 08.7] 06.71] 19]118.4[11.6 69 | 163.2] 16.5 


2] 19.9] 92-21} 70] 69 71 06.8]] 20|129-4| 11.71} 70 169.2] 16.0 
11[20.9 02.11] 7117071 0v.g9|]i21]120.4 [11.5 1711170. 2 16.7 Dy 
2121.91 9221] 7271.20. 0 221 121.4] 11-9 
15]22.9] 92-21] 731 72-6] 07.x]} 23] 122.4 | 12.0] 
123 9152.3 74 73-6] 07.21] 24 123.4] 12-1} 7473.20 17-0 
51249]=41[25 [24:2] 22:3} 252248 [12:nff 75 n7gea [a7 
16025•9 — 76175607. 41261125. 4 112.3 176] 17 502] 17-2 
77 76.6 07.51 27 126.4 12.4 77 176.2 17.3 27 
27.9%, 781 77-0] 07.61] 28127 412.5 7877.14 
20 18.9 02.8 79 78.6 07.7 1} 29| 128.4 12.6 79 178.1] 17+5 29] 227.9] 22.4 
3929-0 02.9 80 79 6 07.8 30 129.4 12.7 0 1179.1 17.6 


— —_ — _ _ 2 * * _. MM 
— lou e oo =» ww ee aw * © 


31 39.9 03.01 $4 80. o 07.9 131 130.4 12.8 1811180. 1 17.7 231 229-9 22.6 
32131.8123*2]} $82]81.6|o8.off 32] 131-4|1249]] 32 [181.1] 17.8 32 230.9] 22.7 

| $3132.81 23-2}] $3132.56] 08.x|| 33] 132-4|13-0 $31182.1}17-9]]| 33 231.9] 22.8 
4133-3] 93-3]] 84 [33-6] 08.21] 34] 133-4|13-1]] $4183.17] 18.6 


* A Hy to&o ww 7 > C3 CO ng9 ws 7 co Goag 


(8 [444 £[=2=1j_*5 [54.5 [28-311 35 [134:4[23:20[_85 5 233.9] 23.0 

1$135-81 23-51] 86]85-0o8.4 11136] 135.3] 13-3116 185.1]23.21} 246 234.9 23.1 

g 3136.81 · 5 8786.6 08.5 371136.3 134 87 [186.1] 18. 3 37 2359 23.2 

19138.81 93-51} 891 88.6 c8.71] 39 138.3 13.6% 89188. 18.50 39 237.9 23.4 

; $139.81 23-91] go $9.6 08.81] 49]139.31 13-7 90 | 189.1 48.6 4<| 238.9] 23.5 

, $1140.38] 24-0]] 9790 608.9141140. 313.8 191190. 118.7 300 298.6 29,4 

| $2141.81 24 11] 92[91-6|og.of| 42 141.3] 53-91] 9219.18.80 400 398.1] 39.2 

$3142.31 24-21] 93] 92-6] og.1]| 43] 142.3] 14-0f] 93[19:.1]18 9 500 497.61 49.0 | 
#143-8124-3]] 94[93-5|09-2|| 44] 143.3] 14-3] 4193.10 19.0|| boo 


|<<}. ]98:5] 22:3 11451 144:3]14:21]_95 [294-1] 19-21] 700] 696.6 68.6 
$$145-8] 94-51] 9098.5 09-4 [1149] 145-3 14-3]1196| 195.1] 19.2 || $00 796 1 
7046.8 4.6 9796.5 09.5 471 146.3] 14-41] 97196. 119.3 goo 595: 7 88.2 
| $5147.31 04-71] g8 97-5] 09-61] 48147. 314.5 93] 197.0] 19.4 l 1000 
$9145-81 04.81] 9998. 59.7 49] 148. 3014.60 99| 198.0] 19.5 [2000 
| 5149-8 24 gf 100] 99-5] 8 0149.3 555 199 0] 19.6 49 
| bu 2.48 
[ 
J 


Unt Aal Dep. Lat. Dit Dep. | Lar. Diſt Dep. Det Dep I Lat, [Dit Res- 5 La“. 0 | 
7 +. Points. | | 
e X 2 5 g 


Difference of Latitude and Departure. 


— —— 
+ Point. : 

Diſt Lat. Dep, ſjDiſ\ Lat, | Dev. Diſt] Lat. Lat, 
1104.0] 00.11} 51] 50.40% [oi 99.9 198.3 
202. 0 oO. 31 52|51.4407.6j} oz 100.9 199.3 
3103-0|00.4]| 53] 52.4] 07.81] 031 101.9 200.8 
4124-0] 00.6] 54] 53 4107-91} 041 192.9 201.8 

__$]24-9] 00-7] «<1 54 4123 rÞ] oc] 10349 202.8 
6105.9] 00.9]] 56|55-4| 08.2|106| 104.8 203.8 

\ 71]26-9j01.0]| 57|56.4|08.4]} 07] 105.8 204.7 
807.90 l. 2 5857 4108.5 08] 106.8 2065.7 
908.901. 3 89 53.41 03.61} og] 107.8 206 7 
oo 9[71.-]| 60] 59-31 03.31] 10108 8 207.7 

| 21] 10-9]01.6]| 61]60.3]08.9]|111] 109.8 205. 
12|11-4|01.8]| 6201.39.11 12] 110.8 209 7 
13] 12-9|01.9]| 63162.3]09.2]] 1311.8 210.7 
1413.8 [02,1 64/63 3[ 09.4] 14] 112.8 211.7 
54.8092 65164-3109-<I} 15] 113.7116. 212,7 

| 16]15.8 ©2.31| 66165.3109.7]}c16[ 114.7 213.7 
1716.8 [o. 5 6766.3 09.8 17] 115.7 214.6 
18] 17 8102.61] 68]67.3]10.0f] 18] 116.7 2156 
19|18.8[02.8]| 69]58.2]10,1]} 19177 216.6 
019. 802.9 7069.20 3 201118. 217 6 

j 21,29-8103.1]] 71. 210.4271197 218.6 
2221. 8[o; 2 7271.206221 120.7 219 6 
2322.7 [03.4 7372.21 10.7 23] 121.7 220.6 
24023703. 5 74173-2110.8]] 24] 122.7 221.6 
25124 7193 LEA. 6 222 6 

9 261257 03.8 76 75.2 11.4126 124.6 223.5 
27126.7] 04.0]| 7776. 211.3 27] 125.6 224-5 
28127-7104.1]] 78177.1]11-4 }| 28] 126.6 225+5 
29128.7104.3]] 79[78.1]11.6]} 29] 127.6 226.5 
30129-7104.4 || 8079. 111. 30128 6 227.5 
31139-7] 04.51] 81j80-1]£1.9]]131] 129.6 228.5 
32 31.7104. 7 82 81.112. o 32 130.6 229.8 
33132-6]04,8]| 83[82.1]12.2]} 33 131.6 230.5 

4 34433· 55. 8408310123 34] 132.5 2315 

"44 34 6005.1 85 84.712. 5 1133.5 2324 

3736.65.40 871891} 12.8] 37] 135.5 234+ 
33 37-0 05.6 88]87-c| 12.9} 38} 136.5 235-4 
39138 605. 9] 89188.c| 13.0}] 39f 137.5 235.4 
401 39.6 05.9 [[ 90 $89.c| 13-2]| 40 138.5 237-4 
41{49-6| 06.01} 91098. 13.341139. 5 296.8 
42041. 506.2 92[91-<| 13-5]] 420 140.5 395-7 
43 4.06. 93 192.00 13.5 U 4301414 494 

44043506. 5 94[93-c| 13.3{] 44| 142.4 593-5 
456144 506 6 _95194-0[ 73-9] 45] 143-4 692-4 
46145-5| 06.7] 96195.c| 14.1 [[146| 144.4 791.3 

47146.50/00.9 9795-9742 47] 14544 590.3 

48475]. 0 98 96.9 14-4 || 48 146.4 b 989.2146 

4048˙8 99 197-9] 14S; 49] 147-4 a 1908.4 2951 
5 49. 100[93.9] 14.7 % 50] 148.4 | 2967.6 449.1 

Tr] Dep 575 5 Lat. HMD, Pep b Be [Car B. Dep: La. 

| | 7 + Points. 

| OmTT—T I — | — 0 


Difference of Latitude and Departure. 157 


1 Point. 
Dep. D. ſt LAH. Dep. Dift Lat. Dep. 1|Dift Lat, D-p. Diſt. Lat, Dep. = 


co 2|| 54 [59-0] 10.0|[tor] gg.1] 19.7]|15 1] 148-1] 29.5 201] 197-21] 39-2 
o 41 52[ 51-0] 10-11] 02 103.0] 19 off 52| 149-I]29.7}| oz| 198-1] 29.4 
0.61] 53] 52-0 19-31] 03] 101.0] 20.2]] 53] 150-0129.9}} oz] 199.1] 39.6 
00.8] 5453.0 19-51] 04] 102.0 20-3]] 54 151.0 30.0 4 200. 1] 39.8 
foro 82e. <5 152.030.211 og 201.0] 40.0 


—— 23— — — — „„ — — — — 


01.2 56] 54-91] 10-9 [1096] 104.0] 29.47 ” A 30.4 206] 202.0] 40.2 


| 


91.6 58] 59.9] 11.31] 08] 105.9]21-1 58 154-9 39.8]] 08] 204-0] 40,6 
01.8 59] 57-94 11.51} 09] 106.9]21-3Þ] 59155 9131.0 09 205.0 40.8 
02.0 6o| 58-8] 11-71} 101 107.9121 5l} 60] 150-9] ;1.2f} 10] 205.9] 41.0 
02.1] 61 


$9-8]11.9}j111} 103 9] 21.7} 161] 57-9] 31-4) 211] 280.9 41.2 
02.3]| 62] 90-5] 12.11} 12] 109.8] 21.9] 6211359] 31.6)] 12] 207.9] 41.4 
61.8] 12.3] 13] 119,8]22.0f} 631139-31 31.8] 13] 208.9 41.6 
02.7 || 64 62.8] 12.51} 14|111 8]22.2 64 160.8 22.0 14] 209.9] 41,8 
02.9 65 63-7] 12.7] 15] 112 8122.4 65 161.8 32.2 Tc] 210.8 2. 


03.1 661 64.72 9613.8 22· 0766 162.332.4/ 216 nd 42.1 
23-31] 671 25-7] 13-1]] 17] 114-7[2248]] 671 193-31 32.60 17 212.3] 42.314 
103.51] 6816-7] 13-3]} 18] 115-7|23-of} 68]104-7] 32.8] 18 213-8] 42.5] 
3.7 6967.73.59 116.723. 69] 105-7] 33-0} 19] 214-8] 42.7 
3.0 70 68.6 13-7} 29] 117-7[23-4| 70 166.7 33.2 20] 215.7 42.9 
70 69.6 1391121 118.7 23-9 171 167. *7 33.4121 216.7 43-1 
72 70.6 [14.0 22]119.6|23-8 72 165.7 33-6 22| 217-7] 43.3 
33 
34-0 
34-1 


4 1 

43 | 
04.5 73171 614.21 23] 120.6] 24.0 73 169.7 23| 218.74 43-5 
4.7 7417-0] 14-4] 24[121.6]24-2}} 74 |179-6 24] 219-7] 43-7 
04.9 75} 73-0 14 6 251122 6124-4]| 75 171.6 281 220 6] 43-9; 
05-1 76 74+5 14.5 1261122.6124. 0 176 172. 034.3 226 221.6 44-1 
05.31 771 75+SELS»OfN 271 124.5 24.8 77 173-6 34+ 5 27 222.6 44 3 
95.5 78J76.515˙2[ 28]125.5]25-0of 78 8 347 28 223.6 44-5 
4-9 29 224.6 44+7 
5.1 435] 225.6 449; 


ob.o!] $11 79-4[15 S|\[i31Þiz28.5525-6f|11811777+5]35-3h 231] 226.5 45 1 

ob. 2 32|30.4 [16.0 32] 129.5{25-8j} $2|178+3[35-5]| 32] 227-5] 45-3 

06.4% 83]31,4|16.2}] 33} 130.4126 off 831 179-5] 35-7] 33] 228-5] 45:5 

06.6 8482.4 16.4|] 34} 131.4 (26.10 $4|159 4 359 34 229-5] 45-7! 

2 3;[33-40 16:0 35132 4[26:3]| 45] 181-936 3035] 230.5] 45.9 

07 cf} 36] 84.3] 10.5|[130 133-4|29+-5}1186 132.4 30-3 236] 231 4] 46.0 

07.2 87] 85.3] 17.0) 371 134-4|26.7]| 87|133-4]39.5] 37 232.4 46-2 | | 
07.4 88] 86-3] 17.2}} 38] 135.3] 26-9} $8]154-4[36.7} 38] 233-4] 46-4 | | 
07.6 891 37-3] 17-4j] 39] 139.3] 27-31] 89 18 5 336.9 39 234-4] 46.6 ti 
07 8} goþ 88-317 6} 49[137-3127.:Þ| go[ 139-3137 1] _ 40] 235.4] 45.8 | 
08.0 911 39.2 17.8|[141] 138.3] 27-5]1911157+3] 37-31} 3 294-2] 58. 

08.2 92 [99-2[18.0}] 42]139.3127-71] 92 133.3 37.5 400 392-3] 78.0 

08.4 93 91.218. 1143 1149.2 2.9 9389 337.7 502] 430 4497.5 

08.6 94922 18.3 444.228. 1 94100. 237: 9 600] 528 51117.0 

28.8} 95193-2 13 5} 45 132-2[28.2]} 931191 2 38-2] 702]_636.61136 5 

o. 0 96[ 94.1] 18.7145] 143.2128 596 192.2 38.2 [ 890 784.6156. 0 

09.297195. 118.9 47144.2 28.7 97 | 193-2 38.4 o 882.71175.6 

09.4 c8[96.1]19-1]] 43} 145 1] 23.9}} 98] 194-2 35.6 10:0] 980.8]195 © 

og 6ff 9997. 119.3 49 | 146.1] 29.1] 99] 195-2] 38.3 2030961. 6390.0 

09 8 106 98.1] 19.5 159] 147.1] 29-3 [20 196.1 39.0 [1309212942 4 $85.0 

Lat, Nut Dep. Lat. I} it | Oep, | Lat Du Dep. }Lac 57 Dep. Lat. 

7 Points. 
— eee, 


Difference of Latitude and Departure, 


t + Point. 


26.0 
104.826. 2 
105.726. 5 
106 7 26.7 
107.727. 0 
108.6127.2 
109.6127. 5 
110. 6127.7 
111.6127. 9 


—— — 


5 112.528. 
113.528. 
114.52 
113-412 
116.72 


117.4129. 

118.3129. 6 
119.3299 
120.3301 
121.3304 
122.2 30.6 
123.2 30:9 
281124. 2131.1 
291125.1J31˙3 
301126.1031.6 


Dep ([Diſtq Lat. Lat, | Dev. Diſt Lan Bo? 
— 1 — — — — — 5 Pes. 
98.0 24+ 151 04 — 

98.9 24-8]| 52 A hoe 

99-9] 25-0] $3 196.9] 40 

100.9]25-3|| 54 197-9] 444 

102.8|25-8j]156 799.5 — 

103.8 57 Joon 


2c0.8 

201,8 4 
203.7] 50.3 
204.7 $1,0 
204.7 
205.6 
206.6 51.8 
207.6 52.0 
208.6 62.2 


209.5] 52.5 
210 5 
211.5 
212.4 
213-4] 53:5 
214 4 2 
215.3 
216.3 
217.3 
218.3 


219 2 
220.2 
221.2 
222.1 
224.1 
225-0 
226.0 
227.0 
228.0 


228.9] 57-3 


229 9 
23049 
231.8 

232.8 
291 0 


388.0 
435.0 
682 0 
679.0 


776-0 
$73.0 
970.0 


1940.0 
2910.9 


—_—— 


Lep 


Difference of Latitude and Departure. 159 


| i + £0886, 
Lat. [Dep. Diſt Lat. ]Dep,|JOIt] Lat 


48.814.801 | 96.7]29.31]}151] 144.5 
49.875. 1 o2| 97.6|29.6}| 52} 145.5 
159-7] 15-4}} 3 93-9129-9]] 531 146-4 
31.715784 99:5] 39-2}} 540 147-4 

52:0] 16.0 05] 299251 32:5h_55 [2483 
53-6] 16.206 101.4] 30.7 ||156] 149.3 
'54.5] 16.5j} 07| 102.4] 31.0]] 57] 150.2 
55-5] 16.8}} c8]1034] 31.31] 58Þ151.2 
56.517. 1 cg| 104.3] 31.61] 5g] 152-2 
57-4] 17-4) 1011053 31.94 601153.1 
58.447.711 10642 | 32.2 1611154. 146.7 217 201.9 61.2 
9.3118. 12| 107.2] 32.5 62] 155.0f 47.0] 12] 202.9] 61.5 
0.3] 18.3] 13| 108.1] 32.8} 634 156.01 47.3)} 134 2043.3] 61.8 
61.2] 18. % 14 109.1] 33-11] 64] 156.9] 47.6 14 204-8] 62.1 
62.2118 off 15] 110.1[ 33-4} 651 157.9]47 20. 154 205.5] 62.4} 
63.2] 19.1}|116] 111.0] 33.6|[166] 1538.9] 48.1}] 2:6] 206.7 62.6] 
64.1] 19-4|| 17 | 112.0] 33-9} 67] 159 8148.4] 17] 207.7] 62.9 
65.1] 19.7} 18] 112.9] 34 2|| 68] 169.8]48.7]] 18] 208.6] 63.2 
66,0] 20.0 19 | 113.9] 34. 5 69] 161.7 49.0 19] 209.6] 63.5 
67.0] 20.3 20] 114.84 34-81]. 70 162.7 49.30. 2e| 210.5] 63.8 
67.9] 20.6|}121] 115,38] 35.1f}171f 163.6] 49.61] 2214 211.5] 64.1 
68.9 20.9 [ 22| 116.8] 35.4 72 164.6] 49.9]] 22] 212.5 64.4 
69.9] 21.2 23] 117.7] 35-74] 730 165-6] 50.2 23] 213.4 64-7 
21.5 24|118.7{36.0ff 74] 166.5] 50. 5 24] 214.4] 65.0 
119.6 36-31] 750 167.5] 50-51} 25] 215.3] 65.34. 


E 


Diſt. | Lat. [Dep. 


201] 192444 58.3 
02 193-3] 58.6 


92 

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& 

— 

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2 

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8 

— 


— 


1 
GO BO 
2 
— 
E 
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72.7] 22.0j}126] 120. 636.5 76 168.4] 51.0] 2261 216.3] 65.5] 
73.722.301 27] 121.5] 36.81] 77] 16944] 51.31] 27] 217.2; 65.8}, 
74 6122.6 28] 122.5] 37. 1 78] 170.3] 51-6j| 28] 218.2] 66.1 
75.6122 9 291 123.5]37-41] 70] 171-3] 51.9} 29] 219.2] 66 4 
76.6 23.2 20 124.437.780 172.3] 52 - 30 220.1] 66.5 
77-5123-5|j:31] 125.4] 38.0 flabifi7ge.zf 52.5 231] 221.1] 67.0 
78.52.80 32] 126.3] 38.31] $2| 174.2] 52.8]] 32 222.0] 67.3 
79-4 |24-1)} 335127 338.6 $3] 175.20 53-2]} 35] 223.0 67.6 
$0.4 | 24.4 344 123.2} 39.9 | $4 176.1 53-41] 24] 223.9 67.9 
81.324. 7 l 351] 129.24 30-2þ4 85] 177.0] 52.7 35] 224 9 58.2 
82.3 24.9136 130.2 39.4186 178.0 53.0f} 236] 225.0] 68.4 
83.3252 37} 131.14 39.71 87779 0 54.2] 37 226.8] 68.7 
34.2 25.5 38] 132.1 (40-0 88] 179.9] 54-51} 38 227.8] 69.0 
85 225-8 391133 04.3 83] 180.9] 54 39 238.7] 69.3 
$6.1426.1jf 40 [124 040.5 9181.8 56 1 40] 229-7] 59 6 


150 143.8 [47.5 cee. (13090 12870.7[870.t 
wep fLat. Oſt | Dep. I Lat, FOLD p. Lat. I | Dep. [Lat. 


| 160 | Difference of Latitude and Departure, 
4 ks 
| | ww - 
1} Diſt] Lat Dep. Diſt | Lat. [Dep. Diſt Lat. | Dep. | Dit, Lat. Dep. De 
n 1100.90.43] 5: 48.017. [101 95-1] 34-0[[151] 142-2] 50.5 '201 
| 201.9 [oo. 7 52[49.0[17.5|] 02] 96.0] 34-4 || 52] 143-15 51-2} oz 
[ 3102.8 $3149-9 [17-91] 03] 97:01 34-7 || 53] 144-0[ 51-5} 03 
a103-Sjor.;f] 5450.8 18. 2 04] 97.4[35.0 || $4] 145.0]51-9] og 
_5}©4+7Jo1.7]|_55[ 51:3 118-5} 05] o8.9135-4 ||_551 345-9] 52-20} o5 
6105.6102.00] 56 52 718.906 99.8] 35:7 [156 146.9] 52.5 206 
710.6 [oz. 4 57| 53-7 [19-2] 07 | 100-7] 36.0 |] 571 147.3] 529} 07 
8 o. 5 [oz. 7 58] 54-6 19. 5 08] 101.7] 36.4 || 58] 148.8] 53.2] -08 
g198-5103.0]] 55[55+5 [19.9 09] 102.6] 36.7 || 59] 149-7 53-6 og 
1000.4 [03.4 _bo 6. 5 20.2 10 103.6] 37.0 _bo 150. 6 53.9 10 
1110.4 [9 || 61] 57-4 [20.5 1 104.5] 37.4110 151.6] 54-2 [211 
| 1211.3 % o 6258.4 [20.9 12] 105.4] 37-71] 62 152.5] 54-6] 12 
1312.2 [04.4 || 63] 59.3 [21.2 || 33] 106.4] 38.1] 03] 153.5] 54-9] 13 
| 14|13-2104.7 64 60. 3 21.6 I4| 10743 33.4 64 15441552 14 
l 16} 14-1105.1 65 61.2 21.9 || 15|108.3]35.7 65 155.3155¼61 15 
| 6|15.1 05.4 66]62.1[22.2 jj116] 109.2] 39.1 166 156.3 55-91] 216 
Li 1715.00. 7 6763. 122.6 17] 110.2 39.4 67| 157-2] 56.2} 17 
| 1817. o ob. 1 6864.0 [22.9 [ 18] 111.2] 39.7 || 8158.2 56.6 13 
19} 17.9 06.4 69 65.0 23.2 [ 19] 112.0]40.1 69 159.1 56.9 19 
200188 06.7 70 65.9 [23.6 [ 200113. 0140.4 [[. 2060. 157.31 20 
2119.8 [0% 1 7166.8 [23.9 1210113. 940.8 [7161.0 57. 221 
2220.7 [0% 4 72.8 24.2 22114. 941. 1 72 161.9 52.9 22 
2321.7 107.7 738.7 124-6]] 23] 115-8]41-4 || 73 162.9 58.3] 23 
| 2422.6 [o8. 1 7469.7 [24.9 || 24|116.7]41.8 || 74 163.8] 538.6] 24 
ki 25123-5 08.425 70.62 5.3 25]117.7]42-1 27S 164.8 58.9 25 
{ 26124-51088 7671.65. 6 126 118.642. 47165. 759.5 226 
| 2725.4 09.1 77|72-5[25-9]| 27|119-6[42.8]} 77] 166.6] 59.60} 27 
| 28|26.4 [09.4 78|73-4|26.3 [ 28120. 543. 1 75] 167.6|60.0 28 
2927.3 [09.8 79]74-4[26.6]] 29|121.5|43.4 || 79] 168.5] 60.3] 2 
| 3028.2 10.1 || 8025-3126. 3c| 122.4|43-8 80 169 560.6 30 
| 3129.20 4 $1176.3]27.3 [131] 123-3] 44-1113: |170.4[61.0} 231 
| 3230. 110.8 82|77.2|27.6]} 325 124.3 44-5 32[171.4[61.3] 32 
33131. $3]78.1]23.0 ff 33] 125-2144+-8 82]172.3]61 6] 33 
| 3432.01. 5 84|79.1]28.3)] 341 126.2[45-11| 34] 173.2[52-0 34 
| 3533. 1.8]. 88/8. 28. 35 127-1145. 5 85 174.262.310 35 
| 3633.9 [12.1 || 8681.0 29.0136 128.0045·8 186175. 1062. 236 
| 3734.8 12. 5 87]$1.9]29.3}] 37129. 046. 1 57 |176.1]63.0]] 37 
[| 3835.8 12.8 8882.8 29.5 38129 9046.5 88177.063.3 38 
3936.7 73.1 8983.8 3%. 0 39 130.946.889 177.9637 39 
|| 4032.2 [13.6 99 84.7 20.30. 40131-8042 2 || 90 178 9164.0 [ 40 
| 41138 6138 [9185.7 30.6|[141|132.8]47.5 9 [179.8] 64.3]} 300 
|! 421 39.5 [14-2 || 9286.6 37.0 42|133-7[47.8 || 92 | 180.8] 54.7] 400 
| 4340.5 14.5 93|87.6] 31.3]] 43] 134-6[48.2 93181765 0 500 
il 44 [4144 [14.8 |] 488.5 37.7 44|133-6]43-5 | 94] 182.665. 3 600 
| 45142.4]15.2 |} 95] 39.4] 32.off 45] 136.5148.8 [J 25 183.6][6;.7]] 700 
46143-3125-5 1] 99]90-4| 32.3146 137.549, [96 184.,] 66.0] 800 
47144-3115 8 97] 91-3] 32.71] 4-|133-4149-5}} 97] 185-5 66-3] goo 
48[45-2|16.2 || 98]92.3]33.c}]| 48|139.3149-8|| 95] 186.41 66.7 [1000 
| 4046.2 16.5 9993 233.3 49| 140.3159-2 || 99 187.4 | 67-0]]2000 
| 5047. 116 8 10094. 233. | 150] 141.250. 6 [209188 3167-43000 
| Li Dep. Lat, [Bit Lep. Lai, Diſt] Dep, Lat. [Oiſt Dep. | Lat. Diſt 
| | TY, - 
e N 1 : 
| . 0529 
| 5 
| CERES 


ls 


— — —__— — —— 


Difference of Latitude and Departure, 161 
1 . 
Dep. — 4 Lat. |Deps|jDiſt|Lat. | Dep. [{Diſt. | Lat. | Diſt. 


19.511101] 93.3138.7|}151]139-5 57.8 201] 185.7] 76.9 
00.8 [ 521 48-01] 19.9]] 02} 94.2 39.0 52140. 458.2 o2| 186.6 77.3 
01.1 53/4902. 3 03] 95.21 39-41} 531141.4| 58.6} oz] 187.6] 77.7 
01.5 $4149-9120-7 4 96.11 39.31] 541142.3} 58.9] 04 188.5 78.1] 
2:20.55] 2=[22=|=5] 2c 4225512432 59:3 a5} 289.40 _73.5þ 
02.3 56|51-7|21-4 [1106] 97.940. 6 144-1] 59-7] 206] 190.3 78.8] 

| 


02.71] 571 52-7 121-81} 07] 98.941. 0 145.1|60.1]] 07] 291.3] 79.2 
03.1 5853.6 22.2 08] 99.8041.3 53[146.0|60.5]] os] 192.2] 79.6 
03-4} 5954.5 [22.6] 09100. 741.7 146.9 60.9 ] 09 194.1] 80.0 
03.8 bo[ 55-4 123-0 1]_10 101.6142-1)| 60[147.8|61.2 10 194.0] $0.4 
o4 2 || 61] 56.4 [23.3 ]]111| 102.6]42.5 148.861.6211 1945] $0.8] 
04-6]] 62 57.3237 12103. 542.9 149.762. o 
ob. 63 158.224.171] 13] 104.4043˙ 2 150.662. 5 
0544 || 6489.112450 14105. 343.6 64/1515 62, 14] 197.7] $1.9 
13-9] 05.7 || 65160-11249) 15 106. 3 44-0 152-5]63:1)} 15] 168.6] $2.3] 
06.1 66161.0]25.3|[116| r07.2[44.4; 


153-4|03-54 276] 199.6] 82.7 
06.5 6761.9 25.6 17 | 108.11 448 154.363.917 2co.;| $4.0 
06.9 6862.8 26.0 [ 14] 109.0452 155 264.3] 18] 201.4} 83.4 | 
07.3 6963.8 26.4 19 109.945. 5 69|156.1 6447] 19] 202.3} 83.8 p 
07-71] 70164.7 126.38 |} 20| 110.9 45-9 157-1]65.1]} 20 203.3] 84.2 | | 
o8.0}| 71165.6127.2 [[121]1121.8[46.3 158.0] 65.4 || 221 204.2] 84.6 | 
08.4}] 72106.5|27.6]] 22|112.9|46.7 i58.9]65.8]] 22 205. | 
08.8 73167-51279] 23]113.6147.2 159.8166.2]] 23 
09.2 74168.4 [28.3 || 24|114.6[47-5 160.8 66.61 24 
Eee 
10.0 7670. 229.1126 116.4 48.2 162.667. 4 226 
10.3 7771. 129.5 27|117.31 48.6 163.5 167.7 [ 27 
10.7 78]72.1|29.9]| 8118.3 49.0 164.568.171 28] 
170 7973.0 30.2 29] 119.2 49.4 165 4068.5 29 
11.880 73:9|39-61]_39| 120.1 49.8 166.3 68.9 | 30 
11.9 $1174.8[31.00[131| 121.0] 50.1 167.2 69-3 231 
12.2 82|75.8|31.4|] 32 122.0 50. 5 168.269.732 | 
12.6 83176.7|31.8]] 33] 122.9] 50.9 169.1 — 33 
13.0 8477.6 32.1 34| 123.8] 51.3 170 070.4 34 
eee es 
13.8 8679.5 32.9 [36 125.7] 52.0 171.9712 246 
14.2 8780.4 33-31] 371 126.6] 52.4 


1972.8][71.6]] 37 
173-7]72.c]] 38 
174.672.339 
178.622.271 40 


974 73-1]} 300 


16.10 9285.0 35.21] 42|131.2[54.3 177-44 73+-5]| 400 
16.5) 93185-9[35.6 j| 43] 132-1] 54.7 178.3739 $00 
16.8 9486.9 36.0 44|133-0] 55.1 179.274. 2 600 
2 [22.453408 180.2 24.5 700 


181.175. 0 Boo 
; 182.0 75-4} gco 
18.4 9890.6 37.5 4*| 136.7 56.6 981182.9 75.8 ioo 
18.8 9991.5 37.9 49 183-91 76 2200 

19-1}}1001 92:41 38.3}150[138.6] 57.4 20800184 B81 76.5} 2000þ 
Lat. 575 Dep. Lt. Um Dep. Lat. WDit ep. Lat. Duc. 


— 6 Points. 
— — 


- —— 7 I 2 
— — == = = : 
————— — ——_—_ ——————  — 


”; 
ow — 


| = $9 > — toes —u— — 


162 Difference of Latitude and Departure. 
| 2+ Points. 
Diſt} Lat. | Dep. 1jDift | Lat. Dep. JD. Lat 
"110049 88.4 511461218 101 130.5 
2101.8100.9 || 5247.0 [22-2 |] o2 137-4 
3102.7101.31| 5347.9 [22+7 || 03 138.316 
4a1034.6Jo1-71] 54148-81231] 04 139.2 
[2451222551422 SHS 2 
_ G[og 4102.61} 56 50.6 [23.9 106 141. 
20. 303. 0 57|$1-5 [24-4 }} 07 141.9 
18 * 03.41 58] 52-4 [24+ | 08 142 8 
9108.1103.8}]} 5953.3 [25-21] 09 143-7 
| 10]09 0]o4.3Þ] bo| 54-2 [25-71] 10 144.6 
11]09.y [04.7 || 61] 55-1 26.1771 145-5 
12|10.8]05.1}} 62] 56.0 [26.5 |} 12 146.4 
1311.8 [of. 6 63] 57.0 [26.9 13 147.3 
1412.7 [06.0 6457.912741 14 148.2 
1513.6 [06.4 6558.8 [27.815 149-1 
16] 14.5106.8]] 66 59 7128.2 116 150.0 
17] 15.4 107-2} 67160.6128.6}] 17 15. 0 
13] 16.3 0%. 7 6816.5 [29.1 13 151•9 
1917.2 [08.1 6962.4 29.5 19 152.8 
ENDE Ae —2 
2119.0 fog. o 7164.2 30.4 121 154-6 
2219.9 [09 4 72165. 1130.8 22 155.5 
2320.8 og. 7368.031223 156.4 
2421.7 [10.3 7466.9 31.6 24 157.3 
2522.6 10.7 7567.8 225 188.2 
26|23.5|11,1 76 68.7 32.5 [[126 159.1 
27124.4]21.5 7769.6 32.9 27 160. 
2825.3 12.0 7870 533.4 28 160.9 
2926.2 [12.4 79]71-4[33-8 |} 29 161.8 
39] 27-1 12.8 8022.3 4.230 162.7 
3128.0 13.3 8173. 2134.6 [131 163.6 
3228.9 13.7 82[74-1|35-1]} 32 164.5 
4 3329.8 [14.1 83750355 33 165.4 
34] 3947 [14-5] 8475935934 166.3 
Z ee 2. 
1 36ſ32.5 154 8677.7 30.8 [136 168.1 
37133-4[15-S]} 8778.6 37.2 37 169 © 
| 381 34-4 [16.2 || 8829.6 37.6 3 169.9 
3913 5-3 [26-7 }} 8980.5 38.10 39 170.8 
40 8.2 [17-1 90181.4038.5 40 171.7 
421 37-117-54] 91482.3138.9/[141 172.6 
4238.0 18,0 f 92[83-21 39.31] 42 173.6 
4338 [18.4 1} 93] 84.3 39-81] 43 174-5 
| 44] 39:3 18.8 94[85.0[40.2]] 44 175-4 
[45[42.2|19:2|| H|$5:9[40:6]] 4; 176; 
46 41,6]19.7 "96 177 41.0 146 177.2 
47 42.5 20.1-97187.7 41.5 47 178.1 . 
148[43-4 [29-5 ||©98| $8.6] 41.91] 4B] 179.0] 84. 994-0 
49/432, |} 99]39-5[ 42.31} 49] 134-7 [63-7 | 99] 179-985. 1808.0 
48 $5-2 20:4 100 20.4 42.8 150 135.6 64.1 20901180. 8 85.8 3000 2712.0 
Dif Dep. Lat Bin Dep, Lac Bit Dep. Lat. Jiſt D-p. Lat. Diſt . Dep. | 


—_— 2 i 


5 4 Points. 


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| 5014. 


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— 
: 


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12 


© 


163 


Difference of Latitude and Departure; 


2 © Points. 


JDee; j1P:8[-ac. | Dep. Dit | Lace: | Dep (Pit Tarel [Rep fy] 2c 
"(00-9 50.5 510452400101 89.1147-6\|151] 133-21 71.1] 201] 177.3] 947 
;101.8|00.9]| 52|45-9] 24 5 02 | 99-0 48.10 524 134-11 71.6 95.2 

4153 46 725.0 oz 90.848. 5 53] 134-9] 72-1 28 

9 5442.25.44 91.74% 54J135˙8 72.6 96.1 
E- 52 

756 49.4026. 406 93-5] 49-9]|156] 137-6] 73-5 97-1 

3 57 159-3]26.9]] 07] 94-4] 52 4 57] 135-51] 74-0 97-5 
074110381} 58151-22731} 08] 95-3] 5.9 581 139-41 74-4 98.0 
07.904. 2 5982.02.80 0g} 96.1514 59} 149-21 74-9 98.5 
o8.8]04.7 || 6052.9 28.3 1 97:0] 51:3 | boſ 141-1 75-4 98.9 
- [09.7105-2 || 61]53-8]28.7|[111 | 97-9] 52-3161] 142-21 75-9 99-4 
110.605.) 62|54-7[25-2]] 12| 98.3] 52˙ 621 142-9] 76.3 99-9 
Flos. 1 63155-6]29.7]] 13] 99-7] 53-21] 63] 143 3] 76-8 100.4 

| 6 6456.4 30.2 14 0 653.7 64] 244-6177. 100. 8 
Eee — 
161 1441 07:5 6658.2 31.1116 102.3] 54-7 [166] 140-4] 78. 101.8 
15-0] 08.0 671 59-7] 31.6] 17 1203-2155 7] 671] 147-3478 192.2 

9 08.5 || 68150.9] 32.0 13 | 104.1] 55-6]] 68] 148.279 102.7 
1018.59. 00] 6g 60.9] 32. 5 19 | 105-0] 56.1 69] 149-1] 79.6 103-2 
1017.6 09.4 2081.2 33-0] 20 [195-3 56.5}} 70] 249:9[ 80.1 103.7 
18.509.971 62.6 33-51}121 | 10047] $7-O [1171 150. 880.0 104. 1 
119.4 15.4 l 7263. 5 33.9 22 10.657 ·5 72] 151-7| 81.0 104.6 
1120.3 10.8 73064 434.4 231108. 5 58.0 730 152-6 $1.5 105.1 

211.3 7415-3] 34-91} 24 | 199-4] 55-4 |} 74] 253-5] 32.0 195-5 

11.80 75166-2] 35-31} 25] 110-3 $53-9}} 75] 54:3] 82-5 106.0 
12.31] 7667. 035-8126111. 59-4 [1176] 155-21]82.9 106.5 
12.7 7767.9 36.3 27] 112-0] 59.8 77 156.183.4 107.0 
13.2 7868.8 36.8}} 28] 112-9] 60. 3 78] 157-<18349 107.4 
13.7 791 69.737. 2 291113. 860.8 791 157-9]84.3 107.9 
14.1 8070-6] 37.7} 30] 114-7 61.2 80 155.5] 34.8 108.4 
14.6 [ 81]71-4|38.2||131] 115-5] 62,7 [181] 159.0] 85.3 108. 8 
15.10 82072.3 038.6 32 116.4] 62.2 [ $2| 1609-5] 85.8 109. 
15.5 83173-2| 39-1} 230117-3] 62.7] $3] 261-4] 86.2 109. 
off 841741] 39.61] 34118263 1 841 162-3] 87.7 110.3 
U eee 3] 1197 
17.01] 8675.9 40. 5136 120.064. 10186 10441] 87. 208.2 111.2 
17.4 8776.7 [4.0% 3720.8 64. 5 87] 104-9 209.C} 111.7 
17.9 8877.6 [41.5 38|121.7|65.0f} 82] 165.3 209.9] 112.1 
18.40 $89|78-5|41.9]] 39 122.665. 5 89] 166-7 210.5] 112.6 
18.8]} 90[79-4[42-4\} 40 [123-51 66.0} g© 167.6 211.7] 113.1 
19.3 9180. 342.9 [141 [124-4 | 56.4 |j191] 168.5 264.6] 141.4 
19.8 9281-11434} 42 125-2 66.9 |} 92| 169-3 352.8] 188.6 
20.3\} 93132.0[43-8j| 43[126.1]67.4 93 170.2 441.01 235.7 
20.7 9482.9 [44-3 44 [127 067.8 94] 171-1 $21.1] 282.8 
21.2 9513-8] 44-}} 45 [2298.3 95] 229 617.3] 330.0 
21.7 96184.7]45-21j146 | 128.3]68.8 ||196] 172-9 7955 377.1 
22.10 9785 6045˙7 47]129.7]69-31| 97] 173-8 793-7] 424.3 
22.60 9886.446248 130. 5 69.7 || 93] 174-6 8819] 471.4 
23.1 998 ·3 [46.6 49 131.470.299 175-5 1763.8] 942.8 
41]23.6\[100[88.2147-1][150[132-3][ 70.7 [HU 176.4 $7114 14.2 
dit| Dep.] Lat. DiR|Dep. Lat Diſt Dep. Lu, D7Rl Dep: Lat. | Lat, 


Dep Diſt 


5 + Points. 


— & 


| 


S 
+ 


Difference of Latitude and Departure, 


2 2 Points. oo. 

Dit. | Vep, [|LIR} Lat. | Deo. [[Diſt TT La“. | Des 
100.9 oo. 6 f 5143.7 26.2 [101 86.6 172.4} 107. 
201.701.011 52 446 26.7 02 87.5 173.3 1 
3102.60 1.6 53 +55 27,2 [oz 88.3 174.10 104. 
403. 4/02. 1 54 46.31 27.804 89.2 175.0 164.8] 
_$1]24:3 02.6 $551 47:2 25.2 _o5|] 90.1 17 5.8 1054 
605. 13. 1 5648.0 28.8 106 90.9 176 7 105% 
7106.0 oz;. 6 5748.9 29.31] o7] 91.3 177.5 106.4 
806.9 04-1 5849.7 29.88 92.6 178.4 106. 
907.2 [04.6 5950.6 39-2 og] 93-3156 179.3] 107.4 
_z2|£8:5Jo5.1]| bo[x1-5130.3Þ 10] 94:3156:5 $94] 1079 
11109 4105-7] 61|52-3]31.4||1t11} 95-2 181.0] TN 
1210. 306.2 6253 213.9] 12] 96.1 181.8] 109.0 
1317206. 6354 of 32.4 13 96.9 182.7 109.; 
14412. [0.2 64] 54-9] 32.9 l 14] 97 183.5 1108 
E 384 4] 110. 
16|13-7]108 2|| 66] 56.0 33.9116 99.5 . ; 185.3 3 Tito 
171 14-6]08,7]] 6757-5] 34-41] x7] 100.4 |60.1]] 65]143-2] 85. 17] 185.1] 111.6 
13| 15-4]09-3|| 63] 58-3] 35.0 || 18101. 260.6 68] 144-1] 86.3] 18] 1870] 1125 
19 | 10.3109. {| 69] 59-2] 35-51} 19102. 1061.2 69|145-0] 86,9] 19] 187.8] 112.4 
_20 Le 19.3 3 — 36.0 20 102.9 61.2 70 145.8 87.4 20 188.7 113.1 
2118.0 108 [7160.9 36.5 [7271 103.8 92.271 146.7] 87.9 "221 189,06 136 
22113.9| 11.3 7261.8 37.0 22| 104.6 62.7 f 22| 147-5] 88.4] 22| 190.4] 114. 
231197118 7362.6 37.6 231105.5 63.2 73 148.4 9 23] 191.3] 114.6 
2420.6 12.3 7463.5 38.0 24 | 7106. 463. 74] 149-2] 89.4 24 192.1075 
eee ee 
2622.3 13 4 7665.2 39. 1026 108. 164.8 j[176| 151.0] 90.4 226 193.8] 1157 
27|23-2|13.9 77660 39.6 [ 2708 965 3 7151.8 91.0 27 194.7] 116; 
28124-0| 14.4 || 7866.9 40.1 28]109.8]65.8|] 78[ 152.7] 91.5] 28] 1956] 117: 
29124+9] 14.996 - 840.6 29 110.6[66.3]] 7 153-5] 92.0 29] 196.4] 117.7 
322 1—4 8068.6 47.1 30111. 5 66.8 80 154-4] 92.50] 30 197-3] 115.2 
31126.6|15.9]] B1j09.5]41.6 t31] 112+4|67.3 ſ[iv1|155-2| 93-6 231] 298.1 118.7 
3222.416482 9.3421 321113 267.8 82] 156.1] 93.5 32] 199-c| 119.2 
33 28.3] 17.0 83171.242.7 3311141 68.4 831157. 0 94-0 33 199.3] 119.7 
34 [29-2] 17.5 84/7243. 2 3414.9 68.9 8417.8 94.6 34 200.7] 129.; 
17122 28.0 CO 72-91 43-71] 25|115-3]69.4j} 85] 158.7] g95.1fþ 35 201.6 120.9 
3639.9 18.5 8673 8044.2 [1361166 69.9186 159-5] 95.6 236| 20244] 1213 
37031. 719: $7] 74-61 44.71} 37[117-5] 70.41] 87] 160.4] 96.1 37 | 223-3] 121.8 
33132-0] 19.51} 88[75-5|45.2{| 38| 118.4 | 70.9] 8816.2 96.6 38| 204-1] 122.3 
39]33-5] 29-01} 8917921 45.70] 39 [9-27.40 89162. 97.1 39 | 295-0] 122.8 
4034.3 20 6 _90177 2] 46.31] 40 | 120-1]72 off 95 163.0] 97.6] 40 205.8] 123; 
41135-2[21.1]] 91178.3] 46.847120. 972.5 19111953.8] 98.2 J . 154-2 
42 136.0 21.6j} 92}78.c 47.3 42 [121.8 73.0 9264.7 98.7 ] 400 343-1] 20506 
q2139 9122-11] 9379.8J47.8 1 43] 122.773.593 165.51 99.21] 5c 428 1 257-1 
42 [37-7122 61] 94|80-6} 48.3 |] 44| 123.5 74. 94[166.4| 99.7 boof 514-61 38 5 
4] 38 6] 23.1 95 81.5 48.8 4517244 74 6|] 95|167.3[100.2|] 700] boo. boo. 22 
4639 5] 23-01] 9682.30 49.3 [1146] 125.2 75-0 196 167.1105. [Joe 5806.2 4113 
4740. 324.2 9783. 2049.9 47126. 175.6] g7|169.0|101.2]} goo] 772 452-7 
48141 224.7 9884.10 50 4 48 126.976. 1 98 169.8 01. 8 io 957.7 $14- 
49442-0]25-2/] 9984.9 50.9 49|127.8[76.6 991170 5102. 3 [2.4 108 2 
_$0[42-9| 25-7 j]100]%5-0[ 51.4 [[150|128 7[77.1]f200[ 3171.5 102.8 30002 3.1 2 
Dit] Deb. Lat, Din Dep. Tat. Diſt Dep. Lat. —— Bal ö. Lat. 5 8 — Dep. | 1 Lit. 


330 


1 * 


wed 
CO 
fi oo „ 


— 
1 88 


+= 
et. 
C of 4 wood '. tad Sod. we wo tv 8 (> 3s © 


[ 


Difference of Latitude and Departure. 


L 

5 3 Points. 

f Dep. Mist [Lat. Dep (Pe Lat, Nep. Diſt| Lat. 1 Diſt, [Lat. 

ä 50.0 51142 4] 28.3||101 84.0 | 56 x1|151] 125-5] 83-9 | 201 1971 

| 01.1 $2143 2128.9 || o2| 84.8 86.7 521 126-4] 84.4 || 02] 267-9 

| 17 531441 |29.4}| 03] 85.6] 57.2 53] 127-2] 85% 03] 398-3 

02.2 541 44-91 39-0 || 04 86.5 57.8]| 54| 125.0] 85.5 04 r69.6 

| 02.8 55145:7 32.5) 05 $7.3] 57-2 Kt 128.9] $6.1]] 05] 170-4 

53.3 5646.31. 106 88. 1 58.9]|1.6| 129-7] 86.7 206 171.3 

03.9 57147-4| 31-7 || 97] 89-0] 59.41} 571 33%5| 82 07] 172» 

: o4 4 581 48-2 | 32-2 |} 08] 39-8] 60.0] 58] 131-4 $7.84} 08 172.9 

| 05-0} 59 49.1 32.8 09 90.6 60.5 59 132-2 88.3 Og 173-8 

. 05.6} 601 49:91 33:3] 12 91.4|61.1]} 60] 133-0 88.9 1 174.6 

5 86.1 611 50. 733.9111 92-3] 61.7161] 133-5] 89.4] 211] 37544 

. 06.7 62| 51+5 4.40 Iz] 93-1] 62.2 621347 90.0 1217“. 

; 57.20 63] 52-41 35-©] 13} 93-9 62.80 631135-5] 99.5 13] 177.1 

. 07.31] 64 53-2 35-6] 14] 4.8063. 30 6413,39 [ 14] 277-9 

g 08. 3 65] 54:2 z0.1}} 15] 95 © 63.9 bs 137-2] 91.7} 15] 175-7 

a 08. 5 661 539 36. [1116] 96.4 |64.4[|166] 135-0] 92.2} 216 179.6 

0 09.4 69] 55-7 [37-2] 17] 97-3 65.0 67] 133.38] 92.3} 17 180.4 

k 10. 0 68] 5. 5 27.8 18] 98.265, 68139 7] 93-3 181 181.2 

6 10.6 59] 57-4 38.3 19 95.9 66.1]] 69 140.5 93-9 19 182. 

, 11.1} 7c 58.238.202 99- 66.7] 70| 141-3] 94:4||__20 132.9 

6 11.7 7159. 39.8127 100.6 67.271074. 2 95.0] 221] 153-7 

1 12.272 59 94.0 2210146780 71430955 22 184.0 

6 12.87; | 99-7 4.6 23] 102-3 68.30 73[343-5] 96.1} 23 135-4; 

| 13-31] 74191-51421) 24] 193-1 | 68.9]} 741 144-7 96.7] 24 186.2 

6 13.9025 62.4 [| 41.7 25] 103-9 69.4/} 75|245 5] 97-2}} 25 187.1 

1 14 7663.2 | 42.4 [126] 104-8] 70.vu|{176 | 149-3] 97 $j| 226 187.9 

; 15.0 77 64.0 42.8 27105. 670.5 575 |147-1] 8.3 27 188.7 

2 13.0 78 54.8 43-3] 28] 106.471.1078 1438.9] 98.9 28 189.5 

7 10.1079 25-7 [43-9 )] 29] 197-2] 71-7]| 79 | 143-8] 99.40 29] 199-4 

2 16.783165. 5 [44.4 391108 1] 72.2}] $9] 149 6| 100.0 >| 191-2 

p 1) 22 3767.3 45-0131] 199-9 7518 150. 5100.5 231 192-0 

2 17.8] 82 68.2 45.6 32 1929-7] 73+3j1 22] ©5143] 10741 32] 192. 

7 12.2 8389.0 [4.1 33J119.673- 9 83752117 33 19 

4 18.9] 8469.8 46.7 34| 111.4 | 74 4}} $4[153-04 192-2} 34/95 

8 19.4} 85| 79-7 [47-2 35| 112-2] 75-0N 45 153.81 102.8IJ 25] 19544 

3 20 off 86715 47.381:c36| 113.1] 75.50186|154-9[103-3 236] 196.2 

3 _ 8772.3148.3 3713.9 76.1 87155 5193-9} 37] 297-0 

4 21.1 $8] 73.2 (48.94 38|114-7| 6.7 88156. 3104.4 381 197-9 

8 21.7 8974-0494 39 115.677. 2 89157.1[105˙ 0 39 198.7 

3 22-24] 90 74.8 59.>}} 4© 116.477.891.010. 5 40] 199.5 | 
4 22.8 91 7 $+7 pup I41}I1107+»2 78.3 191 158.8 106.1 $09) 249˙4 | 
6 23.31] 9276.55. 1 42|115-1] 73-9] 92 159.6] 106.7 |} 400 332.0 222.2 | 
1 23.9 93]77+3| 51-7] 43 118.9] 79.4 93 [199-4 [107-2 [ 500 415-7 277.8 | 
5 6024 4 9478.152.2 44 | 119-7 |59-2j} 94 161.3|107.8j] 600] 498 9{ 333+3 | 
9 $137-4|25-0]| g93[79 © 52.8 45] 120-5 80. 5 95 162. 110 .; 750 532.0] 388 9 

5 225.0 96|79-S| 53-3146 121-4 [814196 162.9 108.9 800 695.2] 444-5 | 
Y, | 26.1} 9780.6 53.9 47 | 122-2 |S$1.7 11 97 163 8109.4 900 748.3] 500.0 
1 39-9]26.7 | 98|81.5| 54.4 48 123.0 82.2 [98 164.6|110.0 1000! 831.5 555.6 

: 6.27 299 82.355. 49 | 123-91 32-3 | 99 165.4 | 110.5 f2050]1603.0[1111.2 
3 $0141-6{27.2 100 83.155 %% 124-7 83-3 11200 166.3 | 111.1 [30002494 5]1006.35 
— Deo. Lt Hit Dep. | Lat. [Di] Dep. | Lat. E Dep. [Lat Dit. | Dep Lat. 
5 Points. 


— — 


Difference of Latitude and Departure, 


| 3 + Points. | 
Tour Lat, [Dp {{Dift| Lat. Dep Diſt Lat, Dep. Dift | Lat. [Dep. IIDiſt. 
loo. SH 00.6 || 51141.01 30.4jjao1] $1.1] 60.2{[151[ 121.3 99.0 201 
ay. 01.6601. 2 [ 52141.8}31 off o2| 81.9 60.81] 52722. 1 90.6 o2 
302. 401.8 5342.631603] 82.7614 5322.9 91.1 03 
4193-21 02-4 } 54/43˙4 32 2 04 $3-5]62.01} 541237 91.7 og 
D 
| 6104.8]03.6 || 56 55.0] 33406 85 163.1156125. 3 92. 9 "206 
7195-6104-2 j| 57145 3134 of} o7] 35-9163 71} 57] 126.1] 93.5 o7 
806.4004. 8 || 581 46.6] 34.6 08] 86.7 64.3] 581269 94.11} 8 
9197-2[95-4 || 59147-41352] 09] 37-5049} 59] 127-7] 94-75] og 
1008. 0.6.» 5048 2[35 7}] 10] 38.3165-5]] 6-[128.5] g5.3]]} 10 
1108. 80 06.6 || 61[49.0|35.3||111] 39.1]66.1 [161] 129.3 | 95-9 "211 
} 12 09 6 07.1 62 49.8 36.5 12 89.9 66.7 62 130.1 44 12 
1310. 40. 6350. 637-5 13] 99.7%. 3 63] 1309-9] 97.10 13 
1411. 2008.3 64|51.4}38.1]] 14] 91-5|167-91] 64/731.7[ 97.7 14 
eee 
1672.80 09.5 66 53.01 39-3116 93-2109 1/66 133.3 98.9 216 
1713.70.11 6753.813990 17] 9469.7 677341 99.5 17 
1814 fro. . 68 54.640. 5 18] 94 870.3] 681 134.9 [100.1 18 
| 1925-3 11.3 695544. 19] 95-6[70.9 ] 691357 [co. 7 19 137.5 
250. ere. 
121 16.9 2.5} 711 57-01 42-3121} 97•272•1J[71J137.3 10.9 221] 77.; 13177 
22|17-7113.1] 72[57.8142.9]| 22] 98 972.7 72 138.11102.5]} 22 178.3] 132.3 
23 18 5113.7 73153.61[43-5}} 23] 93-3173-3{] 731138.9 103.1 23] 2179-1} 132.9 
244193143 74159 444-11] 24] 99673974739 7103.7 24] 2179-9} 133.4 
25 9 | 75160-2144-71| 251120-4174-5)} 751 240-5[104-3}] _25| 130.7] 134.0 
FT 20-9|15.5 76161.0145-3|[120{101-2175-1]}176| 141-3[104-9]} 226 181.5 1346 
127 21.7 16.1 77 61.8 45 •9 1 27 102.0175 .7 T71142-1] 105.4 27 132.3 135.2 
28 22.5 16.7 7862.6 46.5 28102. 876.3 78 142.9 105.0 28 183.1 135.8 
292330173 79193-4[47-1}] 29103. 676.9 291437 10%.6 29 183.9] 1364 
3524.12 || 8of64.2[47-7Þ| 351104 4 77-4}] $0 144.5 107-2 30| 184-7] 137.6 
| 31|24-9[18 5} S1[65.0148.3|[131 f 195-2{78-0f}181] 145.4|107.8}]} 231] 185.5] 137.6 
| 32125-7] 19-1 |} 8265.8 48 9 32|206.0[78.6!} 82 146.2 108.4] 32 186.3] 138.2 
33 26.5 19.7 [8366.7 49.4 3306.8 79.2 83147. 0 109.0ff 33 187.1] 138. 
34273 20.3 8467.55, 34[ 197-61 79-31] 841 147.8 109.6 34/1879 139-4 
35 28.1]20.9 8568.38 6 353.489,40 $5] 148.6|r10.2}} 35] 138.7] 140.0 
| 36 28.9214 86] 09.1] 51.2 1360 109.2 81 011186| 149.4 | 110.8 "236 189.5 140.6 
. 37129-7122 © || 871 69.9 51.8 3-[110.0[$1.6]} 87\ 150.2[111.4}} 37] 19943} 141.2 
3830. 522.6 8870 752 40 38] 110.8|82.2}] 88151. 112.0 38] 191-1] 141.8 
39 31.323.289 71.5530 3011.6 82.80 89 151.8811260 39] 191.9] 1424 
4032.1 22.8 90 72-3 53-6 40] 112-4 83.4 90 152.6 113.2 40] 102.7 1430 
4132.9 244 91]73.1154-2]141] 113.2[84-of[ig91|153.4|113.8}} 300 241-0] 178.7] } 
} 42133-7125 © 9273.9 54+8 | 421 114-0134.61} 92 154.2 114.4 400 321,3 
43134˙5 25.6 j5 93] 74+7 | 55-4 43] $14-3j85.2}} 93|155.0}115.0f} goof 401. 
44135-3]=6 2 94175-5]36-0)| 441115-6|85 Bl} 94 1155.8] 125.61} 60 481.9 
45} 36-1 268 95 76.3 56.6 45 116.4 86.495 156.6 116.2 || 700 562.2 
46] 36-9] 27-4 || 9677.1 57.214617. 287.0196157. 416 8 800| 642.6 
471 37-7 28 0 97177-9|57-5|| 47] 118-0|87.6}f} 97 |158.2} 117.4 |} 900 72249 
48[38.5128 6]}| g98]78.7]}58 4! 48} 118.8|88.21ſ} 98 159.0118. oo 803: 
45]39-4| 29-2} 9919-51 59-0} 4g} 119 7/38 88} 9g [159-8] 118.6 [200011600 4 
5040. 2 29.8 10080. 50.6 50 120.5 39.4 200 160.6 119.13 2409.6 
DRI. Co: eg. Can Dirt Dep; Lat. DA Dep. Lit. HB |Top: 
44 Points. 


Difference of Latitude and Departure. 


3 x Points. 

Diſt | Lat. |Dep. Diſt] Lat. | Dep. Diſt. | 
511-39-4 | 32-3 |[ro01] 78. 164.0157 116.7 95-5 2CI 
52 (49-21 33-0 |} o02| 78.864.752 [117-5] 96.40 02 
53] 42-0] 33-6] 03] 79 6155.3] 5318.2 97.0] 03 
54 [41-71.34-2]| 04] 80.4660 54719 0 97.7 o4 
55 [42-5] 34-9}] og] $1.1]66 65 | 119.8 98.3 oe] 
5643.5 35-5 || 106| 81.96.25 120.6 g8.9 || 206 
57 [44-1] 30-1]] o] 82.7|67.9}} 57| 121.3] 99.61] 07 
5844.8 39.8 |] c8] 83-5|68.5]]} 58122. 1c. 2 08 
50 [45-4| 37-4}] og| 84 2069.5 59] 122.9] 100.8 og 
bo [45-0] 38.0 10 $5.0169.8]] 60|123.6| 101.51} 10 


— — | — 4 £20 — — —— — — — —— — — 


47.138.711 85.8]70-4|}:161|124-4} 102.1211 
6247.9 39:31] 12 86.6]71.0f] 62[125-2] 102.7 12 
63 148-7] 40. [[ 13] 87.3]71-71] 63 126.0 103.4 13 
64149-51406] 14] 88.1172 304/27 % 4 1654 135.7 
651 59.241.215 88.922.965 122.5 104. 6 15] 166.1] 146.3 
6651.041916 89.6|73-61166|1:8.3] r05.3 {| 216] 266.9 137.0 
6751.8 42.5 17 go 4074.2 6129.7 105.90] 17] 167-7] 137.6 
; 
68] 5240143-LI]} x8] 9g2.2174.8]] 68[129.8] 106.5 18] 168.5 138.2 
69 53.31 43.8 [[ 19] 92.075·5 69 130.6 10. [[ 19] 169.2 
FEE 
711549 45.1 93. 576.7 71[132. 1 108.4 221] 170-5} 140.1 
22] 94.3 77.4 72132.9 109. 1 22] 171.0] 140.8 
6 734 50-41 40.3 [ 23] 95,178.00 73 [133-7] 109.7 23] 272-3] 141.4] 
| 74 | 57-2140 9]] 24] $5-$178.6]] 74[134-5] 110.3 [ 24] 173-1] 142.0] 
25 $ 6147-6 25 96.6 22 3UZ25I[ CAE 173-9] 142-78 


© 
> 
L 
F 


= 

wo 
IS 

ws 


2 
to 
Wn 
WW 
- 
AF 
LU 
J 


761 38-7 | 48-2 [[126] 974/799 76 136.0 111.6 226 174.6] 143.3 
77159. 548.8 27] 98.180. 5 7736.8 i112,2f 27] 17544] 144-0 
78160.3] 49-51] 28] 93.987.278 137.612.928 176-2} 144.6 
794 61.1] 30. 1 29 99 781-81} -g[138.3]113 5 29] 177-0} 145.2 
| 80] 51.8 30-7 jj 30 $095 82.4 80 1139.1 114.1. 30J 2177-71 145 9 
2 $54 02-6] 51.4 [[131] 101.2[S3.1f}181] 139.9] 114.5} 230: 178.5 140.51 
8 82 | 03-4 | 52-0 || 32102. 0083.7 82 [149.6] 115.4 |] 32 179.3 147-1] 
4 $3{64-1] 52.6 331702 884.3 8; [241.45 116.0 33] 159.4] 147.8] 
0 84164 9] 53-31] 34103 685.5 84|142.2] 116.7 ]| 34] 180.8] 148.4 
6 22.2 85 582 8.2385 85.6 85 143.0] 117-3 -.3$ 18 1.6 149-0 þ 
2 766.5 54-5||136] 105. 1086.2 [5b | 143-7] 115.0} 236] 182.4] 149-7] 
8 87 [57-2] 55-2 || 371105.9 86.9 37 [144-3] 118.6 37 183.1] 150.3 
4 1 8868.0 55.81] 38] 106.6[87.5}] 88 [145.3] 119.2]} 38] 183-9 150.9 
0 71 89{63.8] 50.4 39074088. 8946.119939 184.7 151.6 | 
- 41} go 6g 6 57-1 4.0] 108-2 88.8]] 90 146.8 120.5 [4 185.5 . 
3 0 91] 79.3] 57+7 [| 141} 109.0] 39.4 [| 191 [147-6] 121.1 ]} 300] 231-59 190.3 
d 6 9271. 7 58.3 4z[109.7]g0.of} 92 [148.4] 121.8 |] 400 30992] 253.5}. 
4 931719] 59-- I} 43] 110-51 90.71} 93 [149-1] 122-4 j] 500 360; 317-20 
0 94|72.6| 59.0 || 44111393 g4 [149.9] 123-0 500 463.8] 330.6] 
; 3.c] 95[73 [69:2 45] 122:7 192-0] a5 [199.71 123:7 | 720] $22:2 444m 
| 29.2 96|74-2| 0.9 (14612. 892. 196151. 8124.3 $00] 18.4] 507-5] 
7 29 809775. 0b. 5 4713.619221 97 | 152-2] 124-91} 900 69 5.7 2 
q 39.4 || 5875 7 62.11] 48114. 44939 98 [153-0] 125.6 f[rooof 773-c} 44 
71 9976.5 62.8 [491151945 99 153.81 126.2 [2000546 012 8.8 


9 5.1 200 154 61 126.8 3000] 2219 903. 


Lr Dm Dep | Lat, Dit Dep, | La. 


” OO — — 


. . | 
Difference of Latitude and Departure. 


3 2 Points. 


_—_—_— 


Diſt | Lat. Dp. HDi] Lat. 2 Dep. |[Diſt| Lat. (Dep. [Ditt. | Lat, ben. 
I oo. 7075! 74 8 67.80 1810111.9 101.4 2010 148.9 
201.601. 3 52 75.6] 68.5 5212.6 02. 1] oz 149.6 
3 102.2 02.0 | $3 70.3 69.2 53 113.3 102.7 03 150 4 
4 [03-C[02.7 | $4 140.0 77-0] 69.8 [ 54/1141 103.4] og 151.1 

2 921. EE 
6]04.4]04.0 || 56 78.5] 71.2[j156|115.6] 104.7] 206 152.6 Fr 
7 Jos. 204. 57 79.3 71.8 57 116.3 105.44 07 153.3 
8 [o. 9 os 41 58 80.0 72.5 58] 117.0] 106.1] 08 154.1 
906. 706.0 89 80.7] 73.2] 5911.8 106 8] og 154.8 
10 [07-4 06.7 _bo 81.5] 73.9 _bo 118.5 ods OG, 155.6 

1108.2 07.41 61 82.2] 74.5 1611119.31 108.1] 271 156.3 
12 08.9108. 1 62 83.0 75¼ H 620120. 0 103.8] 12] 157.0 
13 09.6 98.7 63 83.7 7549 63 I20.7 | 109.4 13 157.8 
14 | 10.4 [99-4 || 64 84-4| 76.5 64|121-5| 110.1] 14] 158,; 
1511.1] 10.1} 6; 85.2] 77-2] 65] 122-2 110-8] 15 159.3 
1611.9 10.7 j| 66 85.9] 77.9 661230115 216 160.0 1450 
17 [12.6] 11.4 }] 67 86.74 78.61] 671123-7 112.1 17] 160.7 
18 [13.3] 12.1 || 68 $7.4] 79.2|| 68] 124-4| 112-8] 18} 161,5 

19 14.112 8 |] 69 88.2 79.9] 69 125-2| 113.5] 10] 162 2 
20 14.813.470 88.9] 80.6 70 125-9] 114.1] 20] 164.0 
21|15.6]14-1]} 71 89.6] 81.2710 126.7] 114.8] 221] 163. 
22 16.314.872 90.4] 81.9 721 127-4| 115.5] 22} 164.4 
23 |17-0|15-4|| 73 91.1] 82.0 73] 128.2] 116.2] 23] 165.2 
24 17.816.174 91.9 83.3 74| 228.9] 116.8] 24] 1659 
25|18.51}16.8]] 75 92 6] 83.9 75] 129.6] 117.5] 25| 166.7 
26 | 19.3]17-51} 76 93-3] 84 61[176|130944| 118.2] 226] 167.4 
27 20.018.177 94.1] 85.3 77|131-1] 118.8] 27 168 2 
28 20.718.378 94.8] 85.9 78] 131-9] 119.5} 28] 168.9 
29|21-5}19.5]] 79 95.6] 86.6 79| 132.6] 120.2] 29| 169.6 
30|22.2|20.1]] 80 96.3] $7.31 801133 3 120.9] 300 170 4 | 154 
3123.0 20.8 $1 97.0] 88.0[[181] 134-1] 121.5] 2310 17141 

32 |23.7]21.5]] 82 97 8] 88.6 821348 122.2] 32} 171.9 
13124 4422.2 [83 98.5 $9.31] 83135611229 33 172.6 
34 |25-2|22.8 || 84 99.3] 90.0 841 139-3] 123.5] 34 173.3 

35 [25:9]23:51.25 hg Bb eg hong BR Be, 
36 26.724 2 86 1361 100.7 91.3186 137.884.9236 174.3 
37 127.424.887 37 101.5] 92.0] 87138.5 125.6] 37 175.6 
33 28.2125. 5 88 38 102.20 92.7 88139.3 126.2] 38] 176 3 
3928.9 26.2 89 39 [103.0] 93.3 89 140.0 126.9] 39 1770 

429.528.222 40 [103.7] 94.0 9014. 122.5[ 40] 177 8 
411 30-4]27-5}} 91 141|104.4] 94-7 {[191|141-5| 125.2] 300 222.3 
42|31.1|28.2 || 92 42 |105.2| 95-2|| g2{142-2| 128.9] 400 296.4 
43] 31-9}28.9|| 93 43[105.9] 96.0 93]143-0|129.6| 500 370.5 
44 | 32+6]29-5}} 94 44 106.7] 96.7 94] 143-7] 139-3] 6co| 444-6 

45 [33:3] 32:21 95 45197:4] 97:4|_951244.4[23%:9| 222] 5127 
46 | 34.1] 39-9] 96 146}108.:] 98.0||196] 145.2 131.6} 800 592.8 
47 | 34-3] 31.6} 97 47 108.9 98.7 971 145-9| 132.3 90 656.9 
4835.6 32.2 jj 98 48 | 109.6] 99 4 981 146.7] 132. 00 741.9 
49 | 36.3] 32.9 99 49 [110.4] 100.0 95] 147.4 | 133 6001482 
5037. o 336 100 150|111.1] 102.7 200 148.2 | 134.3 [390 [2223-9 

Diſt | Dep. | Lat. jJDiſt it Dep. Lat. [Pit] Dep. Lat. [Diſt | Dep. 


Difference of Latitude and Departure. 


4 Points. 
Der, Dig] Lat. it 
ans — —— | — — 
36.101 71.4 151 
36.8 o 2] 72.1 52 
37-5 || ©3] 72-8 1 
38-2 || ©4] 73-5 1 
38.9135. 9 jj 251 74-2] 7 
56] 39-6] 39-6 06 74-9] 74.9 
3149-31] 97] 75-7] 75-7 
5847.04. [s 76.4 
141.741.794 77-1 
24 PA 
63143-2(43-1 [171] 78.5 
$]43-8 || 12] 79.2] 
| 63144+5]44 5 || 23] 79-9] 
- 64145-3145+3 || 14 80.6 
6546.0 [46.0 [[ 15] 81.3 
6646 7146.7 [1116] 32.0 
67147-41474 || 77] 82.7] 82. 
6848 148.1 14] $4.4] 83. 
69 48.848.819 84.1] 84.1 
70149-5 149-5 Ee. 84.8] 54. 
71150 2150.2 121] 85,6 
72150 9} 5000 j| 22| 86.3 86. 
731516 51.6 23] 87.0] | 
74452 3152.3 24] $7.7] $7-7 
63-21] 53-2 25 88.4 . 
76[53-7|53 7 [1226] 89.1 
 77154-4 | 54-4 |] 27] 898 
78]55-2Þ55-2 28 90.5 
79155$+9[$5+9 1 22 97.2 
8050.6 56 6 [[ 39] 91.0 
* 8.58. 131] 92.6 
2 5 „058.0 32 93-3 
$3}53.7] 58-7 || 33] 94-0 | 
$4159-4] 59-4 || 34] 947 
85 60. 160 1]| 35 95-5 
$6]60.8|60.8 [135] 96.2 
$7161.5|51.5 || 37] 96. 
2162.2 || 38 7 6 
39 62.9629 39] 98.3 
3:6. 64.6 40} 59.0 
91164.3164-3 [141 99.7 
92 [65.11 65.1 || 42100. 4 
931j65.8}65.8 JJ 43] 101.1 
66.5 66.5 | 44 101.8 
67.267. 2 102.5 
96 167.967. 9 146 103.2 
9768.6 [68 6] 47| 163.0 
9869.3 69.3 45] 104.6 
99 70.070. 0 || 49}; 105.4 
100170-7170-7 [1150 106,1 a | 31 | 
Dift|Dep. Lot. Bim Dep, Tat. it 
4 Points, 5 \ 
— — CCCCCCTR if 


/ 
as 
r 
z 
# 


1o Difference of Latitude and Departure. 


E 


2400.9 
00.9 
00.9 

00.9] 
01.0 


5 
1. o 


01.1 
01.1 
01.1 | 
201.1 
01.1 
— 
01.2 
01.2 
01.2 


x Ie 80 aL aaa 


76.0] 01.3 


77. ol. 3 
78.001. 4 


92.0] 01.6 
93-0] o1.6 
94-0] 01.6 
- 0<.0] ©1.7 


97.0] 01.7 
98.0] 01.7 
99-0] 01.7 


— — 


Dep. UE t . Dep. 
101 


18 01.8 
010106106 001.8 


01.0 
01.1 


1 Deg Fees 


— — 


101,0101.8 
02|102.0101.$ 
03|103.0] 04.8 
o4 | 104.0|o01.$ 


o8 108.0 o. 9 
09 109.0 01.9 | 
101 110.00 9 


113|111.0þ01.9]] 161 


12|112,0j01.9 


 13183.0102.0 
14114. 002. o 
_15]115.0j02.0 


116] 1y6,0102.0 |] 166 


17þ $17.0 on. o 
18] 113,0102.1 | 
19] 119 002.1 


201 I120.0JO2Z.1 2 


121} 121.0102, || 71 
F 22] 122.0}02+1 I} 
| 23}223 of02-1 1 
74-0 91.34 24 124.0 24.2 

EEA 
126] 126.0 [02.2 176 


271127. ol[oa. 2 


281128.0 [02.2 


29] 129 0102.2 


08-4 | 301 130-0102.3 


431] 131-0{02.3 || 151 


32|132.0j02.3 


331133. 0 oa. 3 


«| 35|135 0102.3 


— 


1361 136.0 02.4 186 
| 37 1337-91024 


38] 138.0 [02.4 | 
39|139-0]02.4 
40 140.0102.4 


91.00 01.6[[141| 141.0102.4 || 191 


42 | 142.002.5 

43] 143-o[02-5 | 
44 144-0joz 5 
45| 145-0J02.5| 


96.0] 01.7 146 146.0102.5 | 79 


471147. oſoz. 
48 148.002 


49 149.0402 6 5 


100.0] 01.7150] 150.0[02.6 | 200 


Diſt Dep. | Lat, Dift Dep. Lat. Dif 


$ 
5 
62 


63 
64 


72 


92 
93 


— 


89 Degrees. 


— ä 


——— — — 


. Difference of Latitude and Departure. 


— 


2 Degrees. 


100 9|©3-5\\i51] 150.91 05.3 
101.9103. 52 0543 
102.9 03.6 53 
103.9 [03.61 5 


03.9 6 


A 28% JO ED 


201 
802 


2222 


© 
+> 
> > ww Ho 


28222 
on wm Þ + 


2 2 5 


Dif Dep. ILat. 


8 B8 Degrees. 


"A . - . n, MAE en _ 


— — . ——̃— — 
22. ͤ—-—— ———— — — 


— ö lr1m:-r 0 
— 


———— ::e ::!!! 2 


Difference of 


3 


, 


Latitude and Departure. 


if Lot, = Lat, Dep. hn Lat. | Dep. | D:ſt | Lat. Dep [Dis. 
1001.00. 1 5:1 52.9] c2,7 || 107] 100. 90h 3Þ 152] 150.8Þ07.9)] 201 
2| 92.0 oo. a $2] 51-61 92.7 2101.9 5.3 52 151.808. oz 
3103.0 fo. 2 53 529 02,3 U 03] 102.9] 05.4) 53)152.3]c8,off oz 
4| 04 ooo. 2 5415391 02.38 } o4J102-9}05.4)} 54j153-8j08.1}[ og 
_$|25.9129-3} 5554 9] 92-9 |} o5|19449]o05.5)} 55 1 54+$ o8,1}} og 
6] 06,0 [o. 3 5653-9] 02.9 || 106] 105.9] 05.5) 156|[155.8 08.211 256 
71 97.4100.4|| 57159 9] 93-0 || 07 [106.905 6 571155.8[08.2f} 07 
8$| 08.0{00-4 || 58] 57-9] 03-0 |, 08] 107.8[05.7]] 5*|157.8]c8.;]} os 
g| 09 foo. 5 co[58.9103.1 || 09108 805.7 5g[158.81c8.2f} cog 
100 12 0100 f/ 6o[59-9f03.1 1c|109.8[05.8]] Eo 59.88.40 10 
11] 1: 010%, b 6110-9] 03.2 [| 111] 110.8]05.8]|161]160.8] 08,4 211 
| 12] 12.0 00.61] 6: 51 9103.2 1211.8 [05.9 2161.808.50 12 
13] 13.000. 7 63102-91 03.3 1312808. 9 651162 808.5 13 
14] 14.000. 7 64163-9] 03.3 14113 8 ob. of 64]153.38jo08.6j} 14 
15] 15-0 09.8 _65 94-91034 I 15 11 31-6.0]] 6:1164.8]c$6 1 5 
160 16.0 Co. 6665.9 [03.5 11611580. 1165 155.8 69˙7 210 
17] 17 ooo. 9 6766.9 03.5 || 19] 116.8[06.14}] 666.809.717 
18] 18.0]00.91] 6867.90 3.6 || 18817. 806.2 68167 [o. 8 18 
19] 19.001. 0 69195. 9103.6 [1018.8 6.2 6968.8 09.8 19 
20] 2.001. 79199.9] 03.7 || 20] 119.8106.3]} 70[169.5] 09.9} 25 
21] 21,0101.1}] 7117949] 03.7 2120.86. 3171 170 8 09.0 "221 
2222.0 [01.1 72171-9] 03.8 I} 221121.8[C6. 4 22[171.8J0g.cl} 22 
23121001. 2 7372.9 03.3 || 243] 122.8]06.4}} 731772.8 [09.1 23 
24024001. 3 74173-9] 03.9 If 24] 123-8[06-5]]} 746173. 800 1 24 
25 2 _75174-9] £3-9 if 25 24. 806.8 75 174.0 09.21] 25 
26| 26.0101 4 76175-9] 04.0 || 126] 125.8[06 6176. 75.8 09-2 226 
27| 27.001. 4 771709] c4.0 || 27126. 8 [06.6 7-|196.8]09,3}] 27 
28| 28.0001. 5 78177.9] 04.1 || 28|127.8[06.7]] 78] 197.8]0g.3] 28 
2929.01. 79[73.51 04.1 || 29] 128.5 [06.8 76 778.7009. 4 29 
| _30| 39 01.6 8022.2 04+2 |} 30 120-8 [06.8 80179. 70%, 30 
31 31.0|1.6}} 81150-9] 04.2 131730. 886.9 [15 1180. 709. 5 231 
1 32] 32-9|01.7 $2101-9] ©4.3 | 32| 131:8106.9]| 32] 181,70g.5}} 32 
3333.00 7 8382.04. 3 l 33732.8 0%. 33] 182.7] 09.61] 33 
340340018 8483.9 04.4 || 34[133-58]07.0]} 84] 184.7] 09.6] 34 
35] 35:2 or.8f} 85 84.9] 0444 _25]134:8]07.1}} 851 184.7109.7}} 35 
1 36] 35-9|-1.9]} 86]85.9]04.5 13613580. 1786 188.709. 236 
37 3649]<1 g]] 871*5.9] 04.6 [ 37] 136.8[07.2]] 87] 186.709. 8 37 
| 38] 37-9 02.0} $38157.9] 4-6 |} 38] 137.8[07.2|| 88] 187.7]09.8}] 35 
39] 38 9j92-0*] 8988.9 04.7 || 39 138.80. 3 89188.7 09.9 39 
40 39.9102 11] go 39.01.04.7 I} 40 139-8[o7.2]| 90[189.7109.9ff £0 
| 41] 40.9 O02. 1 9190.9 04.8 41140. 80%. 4197190. 70. 0 300 
J 4241.90. 2 9201.9 c4.8 [ 421 141 8%. 4 92197. 70. of 400 
| 4342.900224 93192 9] 04.9 43|142.8 07. 5 93 192.710. 1 5-0 
4443.9 ½.3 l 94193 904.9 44143. 80%. 5 94193. 710. 10 6c0 
[4% DAL s 4 [le. 700 
1 46145˙9 2.4 96989 05.0 146145. 8c. 6 1561195. 716.3 800 
4746.92. 97196 905. 1 47146 80%. 7 97 196.710. 3 900 
4847.9 2.3 9897.9 [of. 1 || 4847.80. l 98197 % 10.4}} 1000 
4948.92. 9998.9 05. 2 || 49 748.8 07.8 ] 99 198.710. 4 ac οο 
22.2 2.592.240. 802. 0 H 200199. 710. [300029 
Bid Bev. Lr Beo. La. Piu Dep; ¶ Tat. ¶ B Pep. Tt ¶ Bit.] 
e 
* - * * . * 


f 
1612 


annere 
oO 7 22 7 


= 18 


c-- 3» 
— GS. a 


- 


— 
* 4 * * 


— 


E 2 


| + > 44>  f« 


— 7” ww” 3 


4 Degrees. 


Difference of Latitude and Departure: 


Lat. Dep. Diſt } Lat, Lat, Dep, Diſt, | Lat, | Dep, 
50.9 [03.61] 191 | 100, 150.6 10. 5] 201 200.5] 14.0 
51.903.610 oz] 101.8 151.6 10. 6[[ oz| 201 5| 14.1 
52.903. -[ 03] 102.8 152.6 10.7 oz | 202.5] 14.7 
53-9] 03.8] 04| 103.8 153.6 10.7 og] 203.5] 14.2 
54: [02.8 251] 14-7 154-6|10.8)] os | 2045] 14.3 
55.9 03.9 106 105.7 155 6 10.9 206 205.5144 
56.9 [o4. c 7106.7 156.6] 10.9 7 286.5 14.4 
57.9 [0.0 08S] 107.7 157.6 11.0 O8 207.5] 14.5 
58.5} 04.1} 09] 108.7 153.6] 11.1} og] 208.5 14.6 
59-9] 04.2 || 10] 109-7 159.6]11,2}} 10] 209.5] 14.6 
60.9 04.31 111] 110.7 160,6]11-2|| 211 210.5 14.7 
61.9 [04.31 12| 111.7 161.6]11-3]] 12 211.5] 14.8 
62.58]o04.a]] 13] 112.7 162.6614 13] 212.5] 14.8 
63.804. 5 14] 113.7 163.5][11.4)} 14] 213-5] 14.9 
64.8] c4.5]] 15] 114-7 164.6 Tt-5f| 15] 21495] 15.0 
65.8] 04.5]|116[115.7 165.611.601 216 215.5 15.17 
65.8104.7]] 17] 116.7 71166.6]11.6] 17 216.5] x5.1 
67.8] 04.7]] 218] 117.7 167.6] 11.7 18 | 217.5 15.2 
68.8] 04.8] 19 118.7 168.60 11.80 19 218.5 15.3 
69.8 104.9 20] 119.7 169 611.8] 20 219.5 5.3 
70.8] 05.0] 121] 120.7 170. 611.9 221 220«5| 15.4 
71.8 [Oo. o 2221.7 171.6 12.0 22 221.5] 15.5 
72.8 [of. 10 231122.7 172.6] 12.1 23 | 222+5] 15.5 
73.8 los. 2] 24]123.7 173.6121 24 | 223-5] 15.6 
24.8 [s. 21.25 124.7 174-6 12-2} 25] 224-5} 15.7 
75.8 0g.3]|126[ 125.7 175.612.3 ] 226] 225.5] 15.8 
78. 1 271126.7 178.6 12.3 27 | 226.5] 15.8 
77-8 05. 4 28 127.7 177.6 12.4 28 227 5 15.9 
78.8 [05.5 29| 128.7 178.6 12.5 29] 228.5] 16.0 
79.8} 05.6 _30] 129-7 11796 12.5 3 229-4] 16.0, 
80,5]05.7]} 131] 130.7 188.612. 231] 230-4] 16.7 
81.805. 7 32| 131-7 181.6112 7 32 | 231 4þ 16.2 
82.8 los. 81 33] 132.7 182.612.838] 33 232-4] 16.2 
83.805.9J 34/133˙ 183.612 8] 34] 23344] 16.3 
24-30 25:91 351 234:7 [22:4N}_45[2584:61 22:90 35 | 234-4] 16.4. 
8 5. 806.0 13013 5. 7 185.613.001 236 235-4 16.4 
86.8106. 1 37] 136.7 186.013. 37 | 236-4] 16.5 
87.8] 06.1] 38[137.7 187.5][13.1]} 38] 237-4] 16.6 
$8.8|06,2] 39] 138.7 188.5]13.2] 39] 238-4] 16.7 
$9.8]06.3]] 4011397 189-512-2401 239-4] 16.7 
go 8] 06.4 || 141] 14c.7 190. 513.3 300| 299.3 20.9 
91.8 06.40 42] 141.7 I91-5[13.4 | 400 | 399-0] 27.9 
92.806. [ 43] 142-7 192.513.5 500 | 4 493 81349 
93 $[06, >} 44 | 143-7 193˙5 13-5| b $90. 5] 41-8 
94.3] 06, 06,6: _45]144-7 104.5 12.6 _700 98. $98.3 43.8 
95.8] 06.7 711 146|145.6 19 5.5 13.7 800 79.0 $5-8 
96,8} 06. 80 471146 6 196.5 13.7 900 897 8] 62.8 
97.806.848 147.6 197.8138 roco 997.6 69.8 
98.8406, 9 49148.6 198.813 92090 f1995-2[139.6 
90.8 [o. 150 149.6 10. 0199.5 [13.9 || 3200 2992-$[209.4 
Dep. Lat, I bit Dep. (Lat. Dit Dep. [Lat | Diſt, | Dep. | Lat, 
— — 


8 6 chanel 


2 
5 


K EE. —p 


Difference of Latitude and Departure. 


+Þ> + > + 


28 0H 
wr 
o o 09 


J 


& 


| 


Diſt Lat. Dep. 11 Diſt 


— — 14 — — 


+> 
0 
09 00 


+ > 
90 00 60 09 


+» 
WO 


5 
I 


65 Degrees. 
"Tar. (Dep. {| Di . e 


— 1 — 11 — 


| 


Din] Lat. 
I514 150.4 
$2] 151-44 
$3] 1524 
$41 153+4 


4 
4 


\ 


Difference of Latitude and Departure. 


6 Degrees. 
Deo. Diſt Lat, Dep. Diſt] Lat. Dep. Diſt | Lat, Dep. 
50.1 [ 532 }50.7| 05.3 [01 100. 410.6 151150. 215.8 
00.2 [ 52 | 51-7{ 05-4 || 0210.40. 52{ 151-21 15-9 
00.3 || 33 52+7| 05-51] 03] 102-4 | 10-8]] 53] 15242 16.0 
00-4 |} 541 53-7] 95+ og 103 4110.9 54| 153-2 16.1 
E 
50.0 56] 55:7] 05.9 106 105. 441.5615 5.1 16.3 
00.7 || 57 | 56.7 | 06 of] 07] 106.4| 11.21] 57 [150-1] 16.4 
o0.$ || 58] 57-7] 06.11] o8[107.4| 11.3]] 58] 2157-1] 16.5 
00.9 || 59 | 53-7] 06.2] 0g9|108.4| 11.4] 59 158.1] 16.6 
01.0 || 00] 59-7] 06.31} 101109.4| 11-5 601 159.1] 16.7 
511 1] 61|60.7] 06.4 ||111| 110.4] 11.6[[161] 160.1] 16.3 
01.3 62161.7] 06.51] 12[111,4| 11.71} 62 161.1] 1649 
or.4 |} 6362.7 06.61] r3|112.4| 11.31} 63] 162.1] 17-0 
01.5 6463.6 06.7 [ 14]113.4| 11-9] 6413-1] 17-2 
or.6 || 65164.6| 26.8/} 15[114.4] 12.0]| 65] 164-1] 17-2 
01.7 6665-6 06.9||116j115.4] 12.1}[166 16 5. 1117. 
lor. 8 || 6765.6 07.0|| 1715.4 12.2 67] 1651} 47. 
a 01.9 6867.60. 1 18[117.4] 12-31] 68] 167-1] 17. 
02.0 |] 69 | 68.6] 07.2 || 19] 118.3] 12.4 || 69] 268.1] 17.7 
19.9] 92.1 1} 70 6g 6 07-31} 201119-3] 125i} 70 169.1] 17.8 
ol 02.2 || 711 79.6] 07.4 ({121][120.3] 12-6{|171] 179.1] 17. 
902.3 72|71-6] 07:51] 22|121.3] 12-7]} 72] 171-13 15.0 
9102.4 731 72-9] 97.6|] 23] 122-3] 12.9 731 172-0] 18.1 
9102.5 || 741736] 07-71] 24] 123-3] 13-01] 74] 27 3-2] 19: 
9102.6 ]] 75 74-6 07.8 25] 124.3] 12.1} 75] 1749] 15-3 
25-91 02.7 || 76175 0107.9 I126|125,3} 13.2176] 17 5-0] 18. 
26.94 02.3 || 7776.6 08.01] 271]126.3] 13-31] 77 176. 0 
27.8102.9 || 73] 77.6] 08.1] 28]127.31 13-4 |} 781725 
28.8{ 043.0 |} 79} 78-6] 08.31] 2928.313589 178.0 
29-8103.7 $5] 79.6]08.4 || 301129 3 13.9 80179. 
30.8 [O3 2 818.608. 5 . 7 1118 x| 180.0 
31.38]03.3 || 32|31-5] 08.6 18 1.0 
32.8} 034.4 |} 83182.58.7 182. 
33.863.684 83.5 08.8 183. o 
e Sy 
35-$} 043.8 868 5.809. 135.0 
36.38} 03.9 8786.5 09.1 136.0 
37-8]04.0 || 83| 87.5] 09.2 187. o 
18.804. 1 8988.5 09.3 188.0 
39 8104.2 0 99139-51224 — 
40.8 04.3 || 911 99-51 09+5 189.9 
41.8] 04.44} 929.509. 6 190.9 
42 804.5 }} 93192.509.7 191.9 
43 8104.6 94[ 93-51 99-3 | JG. 
44.8 04-7 | 951 94-5 [29:9 193-9 
45-7104-8]] 9695˙5 | 10-0 194+9 
46.7104-9 9796 510.1 195˙9 
47-71 05.0 || 9897.5 10-2 196.9 
48.1] 04.1} 991 98.5 | 10.3 197.9 
49-7] 25-2 [100 99-5 | 10-5 198.9 
Dep. Lat. bm Dep. Lc. Dep. 


1 
— — B te. lh. td —_ 


” 7 m—_— — 2 


—— — — 


- I „ =» - 
Fw nw 4 OL tf Ea Bee 


—_ - A 
- 


_Dy ference of Latitude and Departtre. 5 


— 
— — — 
— — * 


— V - 
+ Lance ne 2&5 ( — aces wes” * 


176 


| Degrees. 
Diſt] Lat. [Dep. IDiſt] Late If it Lat. eg. Duſt 1 Dep. 3 
$M 01.0 OO. | 51 50. 6 00.2 [101 1 12.3 151 149-9 =] 201 
2 | 02,0 |0U-2 | 52 |51-6106.3 |} 02 101-2 [12.4 }| 52 150.98 5 oz 
3 [03.e[00.4 || 53 52.606. 5 03102. 212.5 53 1391-9 18.6 03 
4 | 04.0 1 54|53-0]<6.6 [04103 212.7 54 [152-3] 13.7 I} og 
5 |or.oj206 || 55154 ®j06-7 || 0511242 [12-8] 55 [153 Blik.oN og 
606. 0c. 7 || 56|55-6]06.3 106105. 212.9 [5614.8 19.0 [ 256 
716.9 o. 9 5756.66.90 06.213. 57 [53819 1 © 
$|07.9jor.0 58 |57-6]97.1 os 102.2 [13.2 58 156.815.208 
908.901.159 58.60%. }| cg 108:= 13.3 59 [157-8] 19.4 og | 
10109 9101.2 60 59-6 2 10 109.2 13.40% 60 153.8 19.5 10 
1110.9 01.3 616.5074 (1111.23.30 161 [159-5] 19.6 277 
12 | 11.901. 5 || 62 61.5107.5 1211.2 13.5 [[ 62 | 160.8 19+7 12 
1312.9 01.6 6362˙ 57.7 13712. 213.863 [161.8] 19, = 
1413.90 || 64 $3.5197+S || 14|113.1]33-9|} 64 | 162.8] 20.0 14 
1514.9 01.8 6564-52. 1514.74.65 163.8 20.1 [15 
"76 | 15•9 01.9 [6565.58.06 14,1076 164.8 20.2 [210 
17 16.902. 1 67 66.5108.2 || 17]116.1]14.2 67 [165.7]20.3! 17 
118 | 17.9] 02.2 68167. 5 08.3 [15 117.114.400 68 | 166.7 20.5 18 
119 18.902.369 68.508.419 118.114. 5 69 167.720.619 
125 7% [oz 4 || 70 69.5108 5 2110.1 14.6 7168.7 20.7 [20 
21 20.8]02.6 7107.58. 1210120. 1114.7 1711169. 7 [20.8 || 221 
22 21.800. 7 [ 7271.5 8.8 221211149 72 [7.7 [20 9 22 
23 22.8028 7372.50 25-9 [ 23122 115.0 7371.72.23 
24 | 23-$]02.9 [ 74/73-4¾ || 24]123.1]15.4]] 74 [172:7|21.2)} 24 
25 | 24 8$]03-0f} 75174-4]29:11| 251124-I0 15.21} 75 [173-7 21.1] 25 
26258032 || 76|75-4]29-3 26 25-1 [25-3176 1 074-7[21-4 if 226 
27 | 20.8j03.3 || 77 76.4199 4 j| 27|126.0|15.5 7711757 [21.6 27 
28 | 27.8034 || 781]77-4[99-5 || 28|[127-0[15.6ſ] 78 176.7 [215728 
29 | 28.8[03-5|| 79 78.4]99-6 29 [128,0]15,7 79177-7218 29 
20 | 29.8103.7 ||] $0]79-4[29»7 39 | 129-9 15.8 $o | 178.7 21.09 30 
31] 39-8103.8 || 81 80-4[09.9 ||131|130.0|16.0||;81 | 179.6 | 22.0 231 
32 | 31-8j03.9 || 32 514/10. || 22|131.0[16.1]] 82 [180.6 22.2 32 | 
33 32.8 04.0 83 $2.4 10.1 33 132.0 16.2 83 181.6 22.3 33 
34 133.7 104-1 34 $3.4 10.2 [ 34133 · 0 16.3 84 18 2.6 224 34 
35242 [es. 3 I|_85[54:4] 12:4 || 351134:0[16-4]] 85183. 22.8 [35 
36 | 35˙7 0448685410. 136135016 %186184.622.7 || 236 
37 | 36.704. 5 l 87 86.3 10.6 37 136.0 16.7 $7 |[185-6]22.8 37 
38 | 37-7 104-6 8887 3119-7 |} 38[137-0|16.8]] 88] 186.6] 22.9 38 
39 | 38.7 [04.8 || 8938.3] 10-51} 39 [138.016.989 182.6230 ] 39 
40 | 39-7149 I} 29 89.3 11:2 ij} 491139-0] 17-11] go 138.6 23.1 40 
411 40.705 || g91199-3] 34-1 [141[139 917.2 191 189.623.3300 
424.705 1 9219-3] 11.2 4214.9 17.3 92 190.6 23.4 400 
43 | 42-71 95-2 [9392-30713 43141.9 17.4 93 191.623. 5 || 500 
4443.7 [5˙ 4 9493-311˙5 I} 44 [14249 17˙5 941925 23.6 6co 
442 2243454. 25 12.523. 700 
4645.7 05.6 96 [945-3] 11-7 126]1144-9] 17.8 196 | 194 523.9 || 800 
47 | 46.6]05-7 [| 97 96.3] 11-5 || 4745 917.9 97 [195+5[| 24-0 || goo 
48 | 47.6[05.8 [989 311.9 |} 481146.9] 18.01] g8 | 196.5] 24.1 [. 
4948.6 06.0 || 99[98.3] 12-1 |] 49[147-9]18.1}| 99 197.5 24.2 [ ꝛ00⁰ 
50 | 49-6]06.1 [[r100[99-3| 12-2 150 148.918. 2 [[200 | 198.5 | 24-3 }[3000 
Dif | Dep | Lor. JDiR]Dep. | Lot. [Dit [Dep. ¶ Ut. piu Dep.” | Tar, DIA 
d2 Degrees. 


Difference of Latitude and Departure. 277 


2 * 


8 Degrees. bet | 


> Deo, Dit | Lat. Dep. = Lat. Dep. Dit 4 Lat. |Dep. Diſt, Lat, |Dep 


5 IE: 


= = - 
C2 co -z — 2 


00.3 || 52|51-5197-2 {| 02] 101.0] 14:2 [ 52150. 521.2 [oa] 20.0 28,1 
00.4 53152 57.4 || 03] 102.0] 14-3 || 53 [151.5|21.3 [ oz] 201.0| 28.3 
00.6 || 54153+5197+5 j| 04] 103-0] 14.5 || 54 [152.5] 21-4 04] 202.0 | 28.4 
o0.7 | $51 54:5] se. 146} 55} 153-5 21.6 |] og] 203.0 — 


— 


— — — äƷũỹłœÿ0Æãx x 


oo 8 |} 56]55+5197-8 06105 14.8 [1561545217 [206 204.0 28.7 
01.0 || 57 | 59.4]07.9 }| 07] 106.0]14.9 || 57[155.5121.9 07] 205.0] 28.8 
01. 1 58] 57-4]08.1 || o8]107.0[15.0 |} 58156. 522.0 | og] 206.01 29.0 
01.3 || 59 [58-4 108.2 || 0g]107.9] 15.2 || 59| 157.5]221 Og] 207.0 | 29.1 
or 4 || 60]59-4103-4 || 10]108.9] 15.3 || 6o[158.4[22-3]} 10 208.0 29.2 


01.5 |} 61 bo 4 08.5 111 109.9 15,5 —.61159.4122.4%4 211 209. o — 
01.7 || 62 |01:4[08.6 || 121110. 915.6 [ 62 160.422. 12| 209-9] 29.5 
01.8 || 64 192-4108.8 |] 13]111.9] 15.7 || 63]161.4|22-7 13] 210.9] 29.6 
01.9 || 64 [03-4|©8.9 || 14|112.9|15.9 || 64]162.4|[22.8]] 34] 211.9] 29.8 
02.1 || 65 104.4129 © || 15111349 16.0 || 65 163.4 230 15] 212.9] 29.9 
02.2 || 6695-4 09.2 [[116[114.9] 10.1 ||[166]164.4[23-1]] 216] 213.9] 30.1 
02.4 6706. 409.3 || 17 [115-9] 16.3 || 67165.4/ 23.2 17] 214.9] 30.2 
<2 5 || 63197-3]09-5 || 14|116.9| 16.4 || 68]166.4|23:4 |} 18 215.9] 30.3 
02.6 || 69 [6843] 09.6 || 19]117.8]16 6 || 69|167.4|23-5}| 19] 216.9 30.5]. 
e2 8 || 7501®9-3]09 7 || 20]128.8[ 16.7 || 70 168.4 23-7 20] 217.9] 30.6 
02.9 |} 71 179-3] 0949 [j121] 119.8] 16.8 ||171]169.3][23-5 | 221] 218.9] 30.8 
03-1 || 72 [71-3] 10.0 || 22]120.8[ 17.0 |} 72[170.3123-9 22| 219.8] 30.9 
032 || 73 [72-3] 10.2 || 23|[121.8]17.1 || 73 171.3] 24-1 23] 220.8] 31.0 
03-3 || 74 [73-3] 10.3 I} 24]122.8117.3 || 741172431] 24-2 24| 221.8] 31.2 
03.5 || 751753] 10-4 || 25|123.8[17.4 || 75 173-3] 24:4 25 222.8 3143 
03.6 || 76 175+3] 10.6 126124817. 5 [[176] 174+3]24-5]] 226] 223-8] 37.5 
03.38 | 77 [70-3] 10.7 || 27| 125.8] 17.7 71175.3124-6 27| 224-8] 31.6 
2103.9 || 78 177-2] 10.9 || 28]126 8] 17.8 || 78| 176.3] 24-8 28] 225g] 31.7 
04.0 79 78.211. || 29|127.7| 18.0 || 79] 177-3]24-9 || 29] 226.8] 31.9 
e4.2 || 80 [79-2] 11.11} 30| 128.7] 18.2 || 80/178. 328.1 300 227.8] 32.0 
438180 211.3 |[131] 129.7] 18.2 [18161792252 [231 228.8] 32.2 
04-5 [8281.214321 130.7 18.4 || 82180. 2253 32] 229.7] 32.3 
04.6 || 83 82.211.6 |} 33] 131-7] 18.5 || $3]181.2[25-5}]} 33] 230-7] 32.4 
04.7 || 84 [33-2|11.7 || 34| 132-7] 18.7 || 84|182 2[25-6}| 24] 231-7] 32.66 
34-7 [04.9 || 85 [34-2] 11.8 |} 351 133.7] 18.8 | 851183-2125-8 [ 35} 232-7] 32.7 
05,0 || 86 155 2| 12.0 [[136]134.7] 1549 ||186]184.2]25-9 [ 236] 233-7] 32.9 
o5 2 || 87 [$0.2] 12.1] 3711357] 19-1 || $7|185.2|[26.0]] 37 234.7] 33.0 
o5.3 || 88 [87-1] 12.2 || 38|136.7] 19.2 || 88|186.2]26.2]| 38] 235-7] 33.1 
05-4 || 8g [88-1] 12.4 || 39] 137-7] 19-3 | 89|187.2[26.3]| 39 236-7] 33.3 
39-6]o05.6 | go [39-1] 12.5 [40 138.6 19-5 ||_90 188.2 26.4 40] 237-7] 33-4 
05.7 || 91 [90-1] 12.7 [[141] 139.6] 19.6 [[191]189.1]26.6 || 300 297.1] 41.7 
05.8 || g2 [91»1] 12.8 | 42|140.6|19.8 || 92190. 1126.7 || 400 396.1] 55.7 
43|141.6] 19.9 l 93[191-1]20.9 oo] 495-1] 69.6 | 
06.1 || 94 [93+1] 13 1 || 44- 142.6 20.0 || 94|192-1]27«0 2 
06.2 [95 [94.113.245 143 6 20.2 || 951193-21 27-1 || 700 693-2] 97:4 
ob 4 || 96 195+T] 13.4 [[146| 144.6] 20-3 || 196] 194.1] 27-3 || 8cof 79242]'11.3 
06.5 || 97 [96-1] 13:5 || 47] 145-*] 20-5 || 97] 195-11 27-4 || 900 891-21125.3 
ob.7 98 97.0 13.6 48 146.6|20.6 || 98196. 127.610 990. 3139.2 
06.8 99 [98-0] 13.8 || 49 147.6 20.7 || g9| 197-21] 37-7 20001980. 6278. 
49 5107.0 0 [99 13.9 [150 148.520, ||200| 198.1] 27.8 3000[2970.9]417.6 


La:. [Dit | Dep. Let. [Diſt] Dep. | Lat Pitt Dep. I Lat, 


- - - - - 
NN £ twos [2 — 


| 
wo 
AE 22 wo i D |» 


_— 1 wm” _- wu” <<" TE — VF 


82 Degrees. | | 
Aa | 


ks 
JI 
0 


Difference of Latitude and Departure. 


9 Degrees. 


— 
TIE) Ny es * 1 


iſt Lat. 


50.4 


5201.4 


52+3 
533 


RE 


4 

$5+3 
2 
$7+3 
58.3 


60.2 
61.2 
62.2 
63.2 
64-2 
65.2 
66.2 


Ditt Dep, Lat, 


Die bp. Lac. 


$9:3] 99-4 


| Lat, 


99.8 
100.7 


101.7 
102.7 
103.7 
104.7 
105.7 
106.7 
107.7 
108 6 
109.6 
110.6 
111.6 
112.6 
113.6 
114-6 
115.6 
116.5 
117.5 
118. 5 
119.5 
120. 5 
121.5 
122.5 
123-5 
124.5 
125.4 
126.4 
127.4 
128.4 
129+4 
130.4 
1 31.4 
132.4 
132.3 
1343 
135˙3 
136.3 
137+3 
138.3 
| 139-3 
140.3 
141.2 
142.2 
_4 14 J«2 
I44-2 
145.2 
146.2 
147.2 
148.2 
Dep. 


Dep. 
15. 
16.0 
16.1 
16.3 
16.4 


16.6 
16.7 
16.9 
17.0 
17.2 
17.4 
17.5 
17.7 
17.8 
18.0 


18.1 
18.3 
18.5 
18.6 
18.8 


18.9 
19.1 
19.2 
19·4 
19.6 


19.7 
19.9 
20. 
20.2 
20.3 


20. 5 
20.6 
20.8 
21.0 
21-1 


21.3 
214 
21.6 
21.7 
21.9 
22.1 
22.2 
22.4 
22.5 
22.7 


22.3 
23.0 
2Jol 
23+3 
3-5 
Lat. 


81 Degrees. 


4 


Difference of Latitude and Departure: 


Aa 2 


10 Degrees, | 

Dep. I Diſt Lat. Dep. Diſt Lat, Dep. Diſt. Dep. 
mg 99-5 | 17.51] 151] 148.7] 26.2 34-9 
* 100. 47.7 521 149-7] 26.4 35-0 
00.5 101.41 17-9 53 150.7 20.5 35·2 
00.7 102.4 18.0 5411517 26.7 35.4 
00.9 103-4 18.2 55 152.6 26.9 45-5 
228 104.4] 18.4 146] 153-6] 27.1 35-7 
— 105.418.6 57] 154-6|27-2| 35-9 
01.4 106.4 | 18.7}} 58]155 6127-4 36.1 
01.6 103. 318.9 59|156-6|27.6 36.2 
01.7 108.3 | 19.1] bo 157-6]27-7 36.4 
01.9 109-3] 19-21] 161] 158.6]27.9 36.6 
—＋ — 19-4] 6211595 28.1 36.8 
02.3 111.3|19.6}] 630160. 528.3 36.9 
02. 4 112.3 19.8 64|161.5]28.4| 37.1 
02.6 113-3| 19-9 65 162.51 28.6 37.3 
02.8 114.220. 1 166163. 528.8 37-5 
02.9 115-2|20.3]] 67164. 529.0 27.6 
03.1 116.2 20:5] 68] 165.4|29.1 37.8 
03 3 117.220. 69 166.4293 38.0 
03-5 118.2 20.8 70 1674129. 38.1 
.6 119.2 [21.0}} 171|168.4|29.7| 38.3 
dd 120.1|21.2}} 72|169.4|29.8 38 5 
04.0 121.1213 731770. 430. o 38.7 
04.2 122.1|21-51} 74| 171-4] 39-2 38.8 
04.3 123.1 — 2 172.3 30:3 39.0 
04.5 124.121.806 176] 173-3] 30.5 39.2 
. 125.122,00 77|174-3] 307| 39-4 
04.9 126.1122.2}} 78| 175-31 39-9] 39-5 
05.0 127.0 22.4 79 176.3] 31-0 39-7 
05-2 128.0 — 80 177-3] 31-2] 39-9 
05.4 129.022.718 1178.2 31-4 40.1 
05.5 130.0 22.9 22] 179.2|31.6 40.2 
05.7 131. 0 23˙1 331180.231.7 | 40.4 
05.9 132.0123-2]} 84|181.2|31- 40,6 
06.1 132.9 2340 45] 152+2| 32-1 | 40.7 
06.2 133-9123-61} 186| 183.2] 32-3 40.9 
* —. 23.81} 87] 184-2| 32- 41.1 
06.6 135-9|23-9]] 88|185.2] 32.6- 41.3 
06.8 136.9 24.1 89 136.1 32.8 41.4 
06.9 137-9 — 2 _99 pa 2 41.6 
07.1 138.9124411 191] 108.1] 33-1 $2.1 
= of 24.6| 92] 189.11 33-3 09-3 
0745 140.8248 93]190-1] 33+5 $6. 
07.6 141.3 25.9| 94] 191-0] 33-6 104.2 
07,8 142.8125 1} 95192-0133 8 121.6 
08.0 143-8[25.3|| 296] 194.0 34-0 138.9 
08.1 144.8 25-5} 97 194.0 34-2 156.3 
08.3 145-7257 || 95] 195-0 34-3 173.7 
08.5 146.7258 99] 196.04 34.5 347+ 
08.7 147˙7[2 2000192. 34+7 21.1 
. Lat, Dit Dep: 1 Dif Dep. Ls 0 Lat, 
do Degrees. 88 TOTS 


— 
* * — — — 
FREY ae AI ant, PEE Py _ 
4 "6. 


180 


Difference of Latitude and Departure, 


11 Degrees. 


Diſt 1 Lat, Dep. II Diſt [Lat. Dep. II[Diſt Lat. [Dep. Oiſt Lat. Dep Dit 
Fs 01.000. 2 5159.110970 99.1119.3 151 148.2 28.81 201 
2 [oz. [Oo. 4 5251. 009.9 o2 100. 1119.5 52 [149-2[29.0] O 
3 o:. 9 o. 5352. 0110. 103101. 119.7 53 |159-2[29 2] 03 
403.9 %% 8 5453.0 10.304102. 1119.8 5417151.2 29.44 04 
IE 
5655.9 01.1 56|55.0]10.7 [105 154.0 20.2 156 [153-1]29.8}] 256 
706.901. 3 5756.0 10.9 || o7|105.0]20.4 57 | 154-1] 30.0 o 
807.901. 5 58 [56.911.108 106.0 20.6 58155130. 1 08 
908.801. 5957911. 3 || 09[107,0]20.8 59 150.1 30. 3 og 
eee eil 
1110,80. 1 6159 ˙ 971.7109. 21.2 [161 | 158.0] 30.7 [777 
1211.8 [Oz. 3 62 9-9 11.8 || x2 109.9 21.4 621159. 0 39-9] 12 
13 12.802. 63 61.812.013 110.9 21.6 64 [16040] 31.1 13 
14 |13-7]92-7]| 64]02-8]12.2 || 14] 111.9] 21,8 64 | 191.0 31.3 14 
eee Shang eee eee 
718 15.703. 1 66648 12.6 (116 113.9] 22.1 166 162.9 31.7 "226 
17 |16.7]93-2]| 67]05.8]12.8 || 17|114.8]22.3 67 [16349]31.9]] 17 
18 [17-7193-4]] 68[66.7]13.0 || 18 115.8|22.5 || 68 | 164.9 32.1 18 
1918.7 03 6 69 67.713.2 [19 116.8 22.7 69 165.9 32.2 19 
20 J ee eee ö 425 
2120.6 04.0 7169.73. 5 [j121]118.8|23-1 171 167.9 32.0 221 
2221604. 2 72 [70.713.722 119.8 2J+3 72 163.8 32-8 22 
23 |22.6]04-4}| 7374-7] 13-9 || 23|120.7 4 73 169.833. 23 
2423.6 04.6 74 [72+-6| 14.1 24 [121.7] 23-7 || 74 170.8 33-2 24 
25 [24.5|24-2|_75 [23:2] 14:3 [[_25[122 7123-9 || 75 [172:8[ 33.4} 25 
2525. 505,0 76[74-6] 14.5 |[126|123.7] 24.9 176 |172-8]-2.611 226 
2726.55: 2 77175-01147 || 27 1124.7] 24-2 || 55 173.7 33-8j] 27 
28 |27-5]25:3]} 7876.614928 . 24-4 || 78 | 174+7|34.0]} 23 
29 [23.5]95+5}| 79177+5}I5-1 || 2926.6 24.6 79 [17547 34.2] 29 
A [72:5115:3 I} 30127-51248 | 80176-21343] 30 
31139-4125-9]] 81179-5]15.5 [[131|128,6|25.0 ||1g1 [177.7 34-50 231 
32 31.406. 1 8280515. || 32 129.6025 282 [278.6 347 32 
1332.4 06.3 83]81.5|r5.8 331130. 6025.4 83 179.6 34.9 33 
3433.46. 5 8482. 5016.0 34|r31.5| 25.6 84130. 635.1 34 
238420 5 1320223538 35 
3635¼ 3106.9 86 84 4 16.4136 133.50 25.9 [[ 86 [184.63 
3736.37. 1 87 [55-4[16.6 || 3713450 26.1 87 183.6 19 3 
8523073 $8150.41 16.8}} 381135.5] 26-3 [ 88 184.5359 38 
39 | 38-3497-4j] 89]374|17.0 || 39|136.4] 26.5 89 [135-5] 36.1 39 
7 3027-0 9: [22:30 17:2 | 49[137-4[ 26:7 || go [136-50 36.3] 45 
41 14%+2107-8]} 91189.3017.4 |[14: [138.4] 26.9 191 |187.5[36.4]] 300 
42 [41.2[98.0]] g2 [90.3] 17.6 || 42 39.427 192 [138.5] 36.6 400 
43 [42-2952 1} 931.307. || 43[149-4[27-3 || 93 189.4 36.8 500 
44 | 43-2 08.4 5 192+3] 17-9 || 44[141-3]27-5 |} 94 [199-4 | 37. of 6co 
222] £2N25[93:3]51 | 450122:3[27:2 || 25 
«6 145-2195. 9 [94-2] 18.3 [[146]143.3] 27-9 [796 | 192.4] 37-4} $00 
47 [46 1129-c I}, 97 [95-2118 5 471144-3128.9 [9 193.437. 6 goo 
4® (47.311 99-2] 98 {9b.2| 18.7 || 48]145.3] 28.2 98 194 4] 37-81] 1000 
40 48.1 956 99197-2[18.9 49146. 3 28.4 99 195. 4038.0 2000 
4 0.08.2 19-1 5142.2 28.6 200 | 196.3| 38.2 3000 
ien LD B [Lite [Dit Dep. Lat. [OR [Dep Le. DE 


79 Degrees. 


Difference of Latitude and Departure. 


12 Degrees. 


e © ©” eo GN wo tay > —2 4 


oo on 4. 


— 


* £51 > 


y 2 - - Ld —- 
> 2 0 0 —=43 


1 


Lat. 
49-9 


10,6 
108 
11.0 
11.2 
11.4 
11.6 
11.9 
12.1 
12.3 
12.5 


12.7 
12.9 
13.1 
03-3 
13-5 
1347 
1349 
14.1 
14-4 
14.6 
14.8 
15.0 
5-04 
15.4 


15.6 


I3-8 
16.0 


Dep. | 
1101 


Diſt 


02 
03 
©4 
85 

106 


Lat. 


Lep 
21.0 
21.2 
21.4 
21.6 
21.8 


22.0 
22.3 
22.5 
22.7 
22.9 


2J+1 
23-3 
23+5 
23+7 
23-9 
24.1 
24˙3 
24-5 
24+8 
25.0 


25.2 
25.44 


Diſt 
151 
52 
53 
54 
** 


99 


200 
Diſt 


Lat. [Dep. 25. Lat. Dep. 
147-71 31-4 || 201] 190.6 41.8 
148.7 [31.6] oz] 197.6] 42.0 
149.6]31.8]] oz] 198.5] 42.2 
150.6320 04 199.5] 42.4 
151.6 32.2 ][ 05 200.5] 42.6 
152.6 32.4 206 201.5 42.8 
153.5 32.7 ][ 07] 202.4] 43-1 
1545 32.9 8 203-4] 4343 
155+5] 33-1] 89 204-4] 43-5 
159-5133:3}._12[.225:4[.43:7 
157-51 33+5j| 211] 200.4] 42.9 
158.4] 33-71] 12] 207.3 44-1 
159.4| 33-9} 13 208.3] 44.3 
160.4 | 34-1] 14] 209-3] 44.5 
161.4 34:3]__215]_219-3] 44-7 
102.3] 34.5 [ 2:6] 211.2] 44.9 
163.3347 [ 17 212-2] 45.1 
164.334.918 213-2] 45.3 
165.3] 35-2] 19 214-24 45.6 
160-335-4]__22[.215.24 45:8 
167. 235·6 221] 216.1] 46.0 
1638.2[35-38j]} 22 217.1] 46.2 
169.2 36.0] 23] 218.1] 46.4 
170.2 36.2 24| 219.2] 46.6 
171-2]36-4]] 25| 220.1] 46.8 
172. 136. 226] 221 of 47.0 
173. 136.8 25] 222.0] 47.2 
174-1]37-o]] 28] 223.01 47.4 
175-1137-2]] 29] 224-0] 47.6. 
176 © 37-41] 39] 224 9 47.8 
177.0 [37.6221 225-5] 48.0 
178.0 37:9 32] 226.9] 48.3 
179.0 38.1 33] 227-9] 48.5 
180.c [38.31 24] 228:9] 48.7 
180 9 385 35 229.8 48.9 
181.938.7230 230.8] 49.1 
182.9] 38.9]] 37] 231-8] 49.3 
1383.9] 39.11 38] 232.81 40.5 
184.31 29.3] 39 233-7] 49-7 
0s lags p42] 2347] 49:9 
136.8] 39-7 | 300 293 4 62.4 
187.8] 39.4 || 400] 391.3] 23.2 
188.8]40.1 j| 500 489.104. o 
189.749. 4 600] 586.9124 8 
190.7 [40.6 700] 684.7 45.5 
191.7 [40.8 8cof 782. 566.3 
192.741. I] goo] 880 5187 4 
193.6]41 2 [loool 978 - [207.9 
194 6141.4 f[2000[1956.4]:15,8 
195-61]41.5j[300012934.62:.7 
Dep. ILat. [it | Dep. [L 


\ 


— 8 _ -— = Wt . _ 


-—— = — — —— — — - 


Difference of Latitude and Departure. 


13 Degrees. 


- (iD«-p 14 Diſtq Lat. Deo. Di11 Lat. Dey if Ii Dep. Diſt. 
00. 2 511 49.71 11-5}| 101] 98.422.751 147-1] 34 off 201 
00. 4 521 50-71 11-71] oz| 99-41[22-9]] 521148.1] 34-2} oz 
00.7 || 53] 53.6]11-9]] 035 100-4123-2]] 531 149-1] 34-41] oz 
00.9 54] 52.12.10 4101.312340 54] 150-1] 34-61] og 
21.11 551 53-61 12-4 ©5| 102-3 23-6}] 55] 151-01 34-9 05 
01.3 [ $56] $4+6] 12-0 || 106] 103.3] 23-8[[156} 152.0] 35-11] 206 
01.6 571 55-5112-31]} o7] 104-3] 24-1]] 57] 153-0f 35-31] 07 
01.8 58} 56.5113-O]] c$8[105.3] 24-31] 58] 154-0] 35-5|] 08 
92.0] 59157 5113-31} 09 106.-2124.5}] 5g} 154 9135-5] og 
02.20 20 [LES If eee 
02.5 61]59-4113+7 || 111] 108.2]25.0j}}161][ 150.9] 36.2] 211 
02.7 62] 60.4|[13-9]] 12|109-1]25.2}] 62| 157.9] 36.4)} 12 
02.9 [ 63]01.4]14-2]} 13]110.1125.4}} 631 158.8] 36-7] 14 
03.10 64102.4114-4]| 24|111.1]25.6}| 641 159.8] 36.9 14 
03.40 6513-3] 14-61] 15 112.125.965 160. 8 37-1ſ] 15 
03.0 661 64.3148 116113. 26.1166 161.7 37-31 216 
03.80 67155-3]15-1]] 17|1214-0[26.3]] 67] 162.7] 37.5 17 
„4 0 68]66.2]15-3]] 18|115.0526.5]] 68] 163-7] 37-81] 18 
04-31] 69] 67.215.519 116.026.869 164.7 38.0 19 

Er 
04.7 [ 71069216. 121117.9 27.271166. 638.5 221 
04.9 721] 79-2 16.2 22 118.9 27.41 72 167.6 38.7 22 
05.2 73] 71+1116.4]] 231119.8 27.7731 168.6 38.9 23 
05.4 741 72-2126.6]] 24 120.8 27.9 74 169.5] 39 1[[ 24 
05.6 2512 15.9 25}121.8 28.1]] 751170-5] 39-4] 25 
05.8 7674.17, 1 x26|122.8]28-31|176] 171-5] 39-6]} 226 
ob. 1 77.31 2711237128. 7772.5 39-8] 27 
o6.3]] 78176.0]17-5}} 281124-7]28.8f} 781 173-4|40.0}} 28 
06.5 [ 79177-0] 17-31] 29|125-7129-0 || 79174440. 3 29 
o6.7]|_8o[78.oj:3 off 301 126.7 129.2} 30] 175-4140 5f| _30 
07.0 8178.9 18,2 131] 127.6]29.5||181] 176.4 49-7 | 231 
7.2 82179-9] 18-41] 32[128.6]29.7]| 82] 177-3] 40.9] 32 
07.41] $3] 30.9] 18.7] 33]129.6[29.9]] 83|178.3{41.2}} 33 
97.6 841 $1.5} 15.9] 34[130.6[30 1]| 841179-3]41-4f} 34 
07-91} 8512-8] 19-11} 351131-50 39-4} 85] 180.3] 41.6}] 35 
08. 1 8683.19.30 736132. 5 30,6786 181.2|71 >|} 236 
08.3 8784.89.00 371335 30.8 87] 182.2 42.10 37 
08.5 8885.7 19.8 [ 381 134.5 31.0 88 183.242.338 
08.8 8986.72.00 39]135-4] 31-3]] 89184.242.5 39 
oo. o go|87.7120-21] 40/136.4 31. „81422 40 
99 ˙2 "91 88.7 205 141 I 374 31.7 191 186.1 430 300 
09.40 9289.6 20.7 421 138.431.992 187.143. all 400 

*9129+7 935.620. 2 32.293 188.143. 4 500 

42. 909.9 ] 9491.61.10 4414.3 32 4|| 94189. 43.6 600 

s- SA 45| 141-3] 32+6]| 9519.43. 700 

619.3 9693.5[ 21 %½ 146| 142.3] 32-5 [196191 044.1 Yoo 
10.6 9794.5 [21.8 471143.2] 33-11] 97192. 44 3 900 
10.8 [ q8[95-5[22-0]} 48144. 2133.3 9$ 192.944. 51000 
11.00 9996.5 [22.30] 49145233 51] 99 93.9 44.8 (2000 
e eee 

Tat. Dia Oe Let: dm Dep: [Lars Ii Dep. Lat. Br. 


= 
IA 


CEC r 


| 


Difference of Latitude and Departure. 183 


8 14 Degrees. 
* Lat, | Dep. Diſt Lat, Dep. Du | Lat. ap. Diſt | Lat, |} Dep. Dift, | Lat, 2 | 


91.0 oO. 2 || 5149-5123 [0 98.0[24-4f[15r [146.5] 36.5 201 195.0] 48.6 


viſt 

2 I 

4 201.900. 5 I} 5259,51 12- | o2] 99-0[24.7]] 52[147-5|36.8]] oz| 196.0 48.9 

7 4102-9] 90-7 I] 531] 55-4 12.8 [[ 03] 999249 [ 53148. 5 37. [[ oz] 197-0 49-1] 

9 4103-9] 9140 I} 54 | 5514] 13-11} 041 100-9] 25.2} 54/149,4/37.3] 04] 297-9] 49 4 

Ee 

p "6195.3 01.5 56 $4+3] 13-01} 106 102.8 25+7j[156]151-4| 37-71} 206] 199.9 49.9 

6 11o6.8]01.7 || 57 | 5543] 13-81] 07103 B[25.9]] 57 [152-3] 38.0} or] 200 8] 501 

8 $107,8101.9 [| 58] 50-3] 14:0 104.826. 1 58153.3 38.2] 08 201.8 50.3. 

a 9198.7] 02-2 [| 54 | 57-2] 14.21 09|105+3[26.4]] 50 [154-3] 3% 51} og] 202.8 50 & 

2 10199. - [02-4 || 60 58 2 14.5 | 10 106. 26.61 60 155-2 38.7 10] 202.8 50.8 

F 11} 16.7 102.7 61 $9.2 14.8 | 11144307 7 20.9 161 156.2 39.01 211] 204-71] 51.1 

7 12[11.6]02.9 || 62]99-2[ 1,.0;] z2|108.7]27.1]]} 621 157.2] 39.2 12] 205.7] 51.3 

9 131.603. 1 J 630511] 15.2 {| x3]1109.6]27.3)] 63]158.2[39.4]] 13] 2<6-7] 51:5 

* 18113 6] 93-4 || 642.115. 14/110.6 27. 64159139 1 14 207 6 51.8 

Ae eee 

6 16 15.5 03.5 [| 66 64.0 16.0||[116|112.6]28.1j|}1661161.1] 40.2 "216 209.6] 52.3 

5 15] 16.50 04-1 || 67 [65-0] 26.21] 17113. 528.3 67 162.0 [40.4] 17 210.5 52.5 

0 1817.5] 04.4 || 6866 0 16.5 18114.528.% 68] 163. [4.7 18] 211.5] 52.8 

; 19118 4} 04-0 || 6966.9 16.7{] 19[115.5]28.8}} 69] 164.0140.9]] 19 212.5 53 ©. 

5 20] 19.41 24-3 I} 70 67.9] 16.9]} 20]110.4[29.0 7164.94.10 2c] 213-5] 53-2 

55 5 17.2121J117.4J29.31710165.9 47.4 221] 214-4 535 ö 

7 17.4 22118.429.5 72|160.9|41.6]| 22] 215.4] 537, j 

* 17.7 23119.3 129.8 731167.9[4½ [ 23] 216-4] 54 0 
17.9 24120 3130.01] 74116. 842 1] 24] 217.3] 54.2 | 


by P . 
* 
. 
* * * 


Difference of Latitude and Departure. 


15 Degree. 

Diſt] Lat. I=. ||Diſt | Lat, — Lat, Des Diff Lat. |Dep. D 
101. ooo. j 5149.3 13-2 [101 97.6]26.1|| 151] 145-8] 39.1] 201 
201.9 [o0. 5 5259.2 13.51] oz] 98.5] 26.4 2 1146.8] 39.3 o2 
3102. 9 oo. $3]$1-2] 13-7] 03] 99.5 26.7 5311478] 395 [[ oz 
403.91. || 5452.2 14.0 04100. 526.9 54] 148.7] 39.9 % oz 
5 04.8]01-3 5583.1 14.2 0; 101.4127.2 I. 149.740. o 5 
605 801.6 56 54.114.506 102.427.4156 150. 7 40. 4 206 
700. 801.8 57155-1] 14.8 [0103.4 27.7 57] 151.6] 40.6 07 
$]07.7]02.-1]| 58|56-c|15.0]] 08] 104.3] 23.0l] 58 152.6|40.9]] os 
9108.7102.3]| 5957-01 15-3] 09105. 30 28.2 5g] 153.6[41.1 og 
10]09.7102.6 || 6058.0 15. 1106.20 28. 5 6c|154.:]4r.af} 10 
11 10.602.861 58.9 15.8 [[171] 107.2 28.710115. [41.7 [ 211 
12 11.603,10 6259.9 16.0 12108. 2029.0 62156. 541.9 12 
13|12.6]03-4]| 6369.9 16.3 [ 13109. 10 29.2 63] 157.442.2 13 
14135 03.6 6461.80 16 6 14110. 10 29,5 64] 158.4] 42.4 14 
17014. 5[0½9 [ 6562 816.8 151111. 29.8 65 159.4142 7 15 

| 10 15.504. 1 6663.77. 1116112. 00 30.01] 166 160. 343, 215 
171 16.4104.4 || 6764.77.36 17113 0| 30.30 67|161.3]43.2 17 
18] 17.4104.7 ] 6865.77. 1814.00 30. 5 68 162.3435 18 
19] 18.404.969 66.0 17.9 19 114.9] 30.8] 69] 163.2 43.7 19 
201 19.3] 05.2]] 70 67 6118 1 20] 115.9] 21,1 79 164.2 44.9 20 
21 20. 305.4 71]68.0] 18.4 [121] 116.9] 31.31} 171] 165.2 44.3 221 
22|21.2[05.7|| 7269.50 18.6 22|117.8| 31.6 72 166.144.522 

| 23022. 206. o | 7370. 518.9] 23[118.8] 31.81] 73[167.3144 8 23 
24|23-2j06.2]| 7471.50 19.2 [ 24011980 32.1 74j168.1145.0 24 

| 25 24.1] C6. 5 E252 7 32-4 75 169 0145.2 25 
26025. 1006.7 76173 419.7 [126] 121.7] 32.%|| 176| 170.0 45•5 [ 226 
2726.17. 0 77174-4| 19.9 [2722.7 32.9 71171. 045.8 27 
2827. 0%. 27875-3020. 2 [ 28123 6] 33.1 78{|171.9}46.1 28 
29 28.007. 5 2076. 3020.4 29 124.6 33 1 791172.9]46.5 29 
20029 0] 07.8 || 8077.3 22-7}]} 3e| 125.6] 32.60 80[173.9146.6 30 
31 29-9 o8.0]] 81178.2J210 131 126.5] 33.91j| 1511174.8146,38]} 231 
3230.9 08.3 8279.2 21.2 [ 32127. 5[ 34.2 821175. 847. 32 
33308. 83]89.2021.5 330128.5 34.4 82176.8 47.4 33 
347 32-8] 08.8 || 8481. $1.71 34129 4] 34:7]] $4] 177-7147. 34 
351 33-8] 09-1 $5 $2 1 22.0 25/730 4| 34.9 85 178.7147. 0 35 
39] 34-8] 99-3} 8683.7022.3 [361314] 352186 179.748. 1 236 
3713 5-7] 99-6 8784.00 22.5 3732.3 35-51] 87180. 648.4 37 
38] 36.7] 09.8 88] 35.c|22.8)} 38133 3035.7 88[181.6148.7 38 
39] 37-7] 10.1} 89[85.0123.0ff 39[134.3] 36.0 89 182.6 4849 39 
q<| 38.6] 10.4 || go $6.9} 23.3] 40[13; 2] 36 2|| go[183.5]49 2 40 
41] 39.6] 10.6] 91137.9]23 bf} 141] 136.2 36.51] 191 | 134.5]49.4 300 
42040 6] 10.9]] 9288.923842 132.2136 7 92185. 549.7 400 
4341.5 404 93 89.8 24-1 43 138.1 37.0 93 186.4 49-0 500 
4442.50 11:4 || 9490.8 24-31] 44] 13%2] 37.3 94187 4/50 60 
4543.50 11.6 25 091.8[24 off 45/140. 137.5 95 188.450. 5 || 700 
4644.4 11-9 || 96/92. 724.8467141 037.8196 189.3 50.7 800 
7145444] 12+21} 9793.712510 4142.0 380 971190. 3510 900 
4846.4 12-4 || 9894.25.40 48143 © 38.3 [ 98] 191.25. 2 1000 
4c[ 47-3] 12-7 || 99] 95-9] 25.61] 49143˙9 338.61] 99 192.2 51. 8 2000 
5c 48.312 9 100 a. 625 cl[159] 144.9] 38,81] 200| 193.2 51 8], 3080 
1] Dep, Lar, [Diſt] Dep a', Dig Dep. Lit. || Diſt Dep. Lat, | Diſt 

75 Degrees. 


LL — - . —- * - * „ - - - = _ * 
* — Seen eee 10 „ 2 4 —— I wo „eee eee E 
— — 


* - - 
cw: © 0 


Le I Amo mt» * ae 


- __ 
wy 3 


a ARS _ <} >» ra... T 
rern 


* 


be 


Difference of Latitude and Departure. 


Mo —————_ 


16 Degrees. 


185 


N 


basta. Der: Diſt | Lat. P- Dift| Lat. Neg. NAI Lat. | Dep. NI. Lat, Peg. 
A 1 29.0 14.11] 101 97-1]27.8]| 151] 145-1] 41,6] 201] 193.2] 55.4 
4191-0] 0243 5 / 2 
201.900. 6 52| 59-0] 14-3} J 98.0|28.1}} 52[140-1[41.9])] oz| 194.1] 55.7 
q| 92-91 02.50}, 53] 5949 14.6 03] 99.0 2 53 * * cog: 03 * oo 38.2 
403.8001. 54] 51-91] 14-9]] 041 100.01 25.7) $41 14%01 42:4 91 8e. 
504-8 91.4 85152.9118.2 100.9 23.9 5 149-C| 42.7 051 197.0 56.5 
76550 517 56] 53-5] 15-4] 196] 101.9} 29.2 146] 149-9] 43.0]| 206| 198. 56.8 
7146 71 01.9} 57] 54++5[ 15-7} 07] 102-3] 29.5} 571 150-9143-30] 07] 199.0] 57.0 
$| 07.7] 02.2|| 58] 55-7115.of 8103.8 29.8 58[151-9]43.5h} 08 199.9] 57.9 
ol 98.7]02-5| 59] 56.71 16.31] 09] 104.8] 30.0) 5 152-31 43.80] og| 200.9] 57.6 
1009. 02.8}} 69] 57.7] 16.5} 19] 105.7 |30.3}] 60 153-8 44-1 10 201.8] 57.9 
7 10.0 03-0 '61 53.6] 10.8 [111 106.7 30.161 154.7 [44.40 211] 202.8 58.2 
121 11-5103 ql} 62159677. 1 12 107.6] 30.9 62155 7446 12 2038 58.4 
12112.503.60 63 60.617. 4 13] 108.63. 63] 150-7] 44.9 13] 204.7 58.9 
113.5003. 9 64 [61-5] 17.6} 14] 109.6] 31.4] 64 82 45-2] 14] 2057] 59.0 
15114-4[04.7 651]62.c<| 17-0} I5] r10.5] 31.7 65 188.645. 5 15 206.6 $9-3 
TSA 56163. 418.2116 111.5 32.0ff 1661 159+5145.7]] 216] 207.6] 59.5 
5 17 91.70 6764.48.50 17] 112.5] 32.2 67169. 546.0 17] 208.6 59.8 
t7.3105.0 68 95.4 18.7 18 113.4132. 5 68 161.5 46.3 18 209.5 60.1 
: 13:7 1 .1 69 66.319. 19] 114.4 | 32.8 }} 69] 162-4146.6 19 210.5 60.4 
5 10 2 i, 4g 79 67.3 22.28 115.3 33.1 2 103-4 40.9 20 211.4 60.6 
211 20.2 05. 8 = 68.— 19.61121J116.3 133-3771 164.4 47.1} 221] 212.4 . 60.9 
22|21,1]o6.1}| 72] 69-2] 19-8] 22[117-3] 33.6 72[105-3]47.4] 22] 213-4] 61.2 
23|[22.1106.3) 737.20. 10 23] 118.2] 33-9]] 7366.342723 214-3 61.5 
24(23-1] 06.6 74071-1020.4}} 24] 119.2] 34-2}| 7416748. 24] 215-3] 63.7 
25[24.0]06.gf] 772.102. [25 120. 134.4] 75] 195-2[48.2 —_25| 210.3] 62.0 
26 23-0 07.2 76173-0[20.9] 126]121.1' 34-711 176] 169.248.5226 217.2 62.3 
2526.0 07.44 7774.02 1.2 27122. 35.0 7770.1 48.8 27 218.2] 62.6 
20 26.9 97.7 78]75-0[z1.5]]} £8] 123.0] 35-31] 78] 171-1]49.1]] 28 219.1] 62,8 
2027.9 [08.0 79] 75-9|21-5}] 29] 124.0] 35.5 79 173.0149-3 29] 220.1] 63.1 
3023 8 ſo8. 20 826022. 30[124.9] 35.31] 80[173-v149.6}} go] 221-1] 63.4 
31 24.0 03. c| 81] 77-91}22-31| 131] 125.9] 36.2j18 1] 174-0 49-9 231] 222.0] 63.7 
32 30.8 od. 8 8278.8} 22.61} 32] 126.9] 36.40 82] 174-9] 50.2} 32] 223.0 63.9 
33031. [0.10 33]79-*122-9f] 33] 127.8] 36.71] 83]175-9] 50-4] 33] 223-9] 64.2 
1432.70 % f 848.723. 1 34] 123.8] 36.9]| 84] 176-3] 50.7]| 34] 224.9] 64.5 
35 33-6 04 6, 85 $1.7]23-4\] 35] 129.8] 37.2 85 177 8151. 35] 225-49] 64.8 
36 34.059. 56 82.723 70136 130.7] 37.511 186] 178-8] 51.3] 236] 226.8 65.0 
37| 35-6] 19.2) 8783.62. 37| 131.7] 37.51] 37] 179-7] 51-5] 37] 227-8] 65.3 
38 36.510. 5 8884.6 24.3 38] 132.6 38.0 88] 189-7|;51.8]] 428] 228.7 65.6 
39] 37-5] 10.7}| 3935-51 24-51 39] 133-5] 38-3]} 89 1 n 625 
40 38.4] 11.00 9086. 824.8 4134.6 38.6 90 182.05 4 40| 230.7 I 
«1)39.4] 11.30 91087-5025 «|| 142 135-5| 33-9 191] 183-6|52.0]| 300] 2884 "B27 
2[49-4|12.6]| 92|38.4|25.4i} 42] 136.539. 1 92] 184.5 52.9 400 384-5] 110.3 
43]41-3]11.9]| 93189-4025 431137-41 39-41] 93]135-5[53-2]} 500 480.6[147.8 
404.312.710 9490. 259 44 138-4 | 39-71] 94] 136.5] 53.5 600] 576.8] 165.4 
$537 43-3Jj12.4]] Q5[91.3 20.2 _451139-4142-0!] 95 187-4]53-7|| 700| 672.9 197.C 
4b 342 12.7 96 92.3 20. 5146 140.340.2196 138.4 | 54-0} 800 769.0 220.5 
47145-2[13.0j| 97193-2|26.7]| 47]141.3]40.5}] 97] 159-3] 54-3} 900 865 248.1 
Bl 46.1 13.2 98 194.227. 0 48 142.2 40.8 981190 2 54.6 || 10c0 961.3 275.6 
«6\47-1]13.5]] 99195-2[27-31] 49] 143-2[41-1]] 99] 191-3] 54-8 [| 2050] 1922.6|551.2 
50 428.113.8100 96.127.“ 1591144.2 41.320 22257 (30 2833.9 826.8 
Ge. Car; [Dit Bep. I Lat. Diſt Gp. Lat. ¶ Bit Dep. Lat. || Diit. | Dep. | Lat. 
| 74 Degrees. 


| 


B b 


Difference of Latitude and Departure, 


17 Degrees. 


— —— — — 
— 
* 


1 


Dif 


101 
02 
03 
04 
85 

106 
07 
08 
09 
10 


— 


111 
12 
13 
14 
15 

116 
17 
18 
19 


20 


121 
22 
23 
24 
25 

126 
27 
28 
29 
30 

131 
32 
33 
34 

3 

136 
37 
38 
39 
40 

141 
42 
43 


44 
451138 


146 
47 
4.8 


49 
I 50 


Diſt 


Lats 


144-4 
145-3 
146.3 
147+3 


148.2 


1492 
150.1 
15 1.1 
152.0 


6-] 153-0 
154.0 
154-9 
155*9 
1 56.8 


157.8 
158.7 


159˙7 


160. 6 


161.6 


162.6 
163-5 
164.5 
165.4 
166.4 
167.3 
168.3 
169.3 
170.2 
171-2 
172-1 


173-1 
174-0 
175.0 
175-9 
$5] 176.9 
177.9 
178.8 
179.8 
180.7 
181.7 


182.6 
183.6 
134.6 
18 5.5 
186. 5 57-0 
187.4 
188.4 
189.3 
190.3 
1912 
55. 


73 Degrees. 


— 


Difference of Latitude and Departure. 


18 Degrees. 


Dep. 


15.8 
16.1 
16.4 
16.7 
17. 


17.3 
17.6 
17.9 
18.2 
18.5 
18.8 


Diſt 
101 
02 
03 
04 


Diſt 
151 
52 
$3 


Lat, 

143-6 
144.6 
145-5 
146.5 
147-4 
148.4 
149-3 
150.3 
151.2 
152.2 


153.1 
154.1 
1550 
156.0 
156.9 
15749 
158.8 
159.8 
160.7 
161.7 


162.6 
163.6 
164.5 
165.5 
166.4 
167.4 
168.3 
169.3 
170.2 
171.2 
172.1 
17 3.1 
174+0 
175.0 
175-9 
176.9 
177.8 
178.8 
179+7 
130.7 


18 1.6 
182.6 
183.5 
184.5 
185.4 
186.4 
187.3 
188.3 
189.2 


Dep. 


Dep. 
46.7 
47.0 
47+3 
47.6 
47-9 
on 
43.8 
49-1 
49-4 
49+7 
50.1 
50.4 
50.7 
$2.0 
51. 

51. 

51.9 
52.2 
$25 
52.8 
53.1 
335 


53.8 


57˙8 
58.1 
58.4 
$7 
59.0 
$9+3 
59.6 
5949 
60,3 
60.6 
60.9 
61.2 
61.5 
61.8 


— — 


Lat. 


3000 
Diſt. 


— 


72 Degrees. 


Bb 2 


188 


Difference of Latitude and Departure. 


19 Degrees. 1 
iſt Lat, Dep. iſt Lat, Dep. 4, Diſt] Lat, [Dep. Dit Lat. Oep. Diſt. F La Dep, 
2900-9 00.3 48.2] 16.6] 101 95-5132-9}} 1511142.3] 49.2 05 190. c bra 
2191-9 100.7 49-2]16.9]] oz] 96.4332 521143-7]49.5 || oz| 191.0 65 
31 92.8J01.0 50.117. 3 [ oz] 97-4133+5]] 531144+-71 49.8 o3] 191.9] 66,, 
403.8 01.3 51.1.6 oz] 98.333.900 54[145-6] 50.1 04] 192.9] 66.4 

$247 22:2 h _55[$2:2117:9|_o5[_99:3[34-2]|_55[146-5[ 50-5} es 193-3] 66.5 
6195.7 [02-0 52.9 18.2106 100. 234.5 156147. 55.8 [ 2561 104 8 
7106.6 [02.3 539118.6 7101.2 34.8 5 148.4 12 07 7 ay 
8107.6 oa. 6 54 818.9] 08102. 1035.2 580749.4/5.4 os 190.7 65. 
9008. 502.9 $5-3119.2]] 09103. 10350 59[159-3]51.8)} o 197.64 68.5 
10009. 503.3 e. eee 3052.10 16] 198.; 68 4 
111 10.403. 0 5779.911104. 936.1610152. 52.4 211 | 199.5) 57 
12|11.3[03.9 55.6.2 1205.936562 153.20 52.7 [12 200.4] 69. 
131123004. 2 59.620. 5 13100. 836.8 63] 154-1] 53.1 131 201.40 69.4 
1413.2 046 0. 520.8 14110 . 837.1 64]t551[53-4)) 14] 202.3 6g 7 
15|14-2|04.9 or-5|21.2]| 15108 7 37-4] 65]:56-0]53-7} 15] 203.3] 50.5 
161 15. 1005. 2 52.421.516 199-7] 37-8|| 166] 156.9] 54. || 216| 204-2] 50 
17116. 105.5 53•3 121.8 1710.38.10 65|157.5| 54 4 17] 205-2] 507 
18117.0105.9 64-3]22.1 18] 111.6] 38.4.]] 63 158.8 54.7 181 2800.1 716 
1918.0 06. 2 65.222. 5 191 112.5387 691159. 55.0 19] 207-1] 91,3 
20| 15.9 . — —. 1.2 113.5221. 2% 7A 29] 208. | 716 
21] 19-9]06,8 [97-1[23.1]] 121] 124-4] 3344 || 1711 161-7] 55.7 || 221 2089 52 
2220.8 [o. 2 68.71J23. 4] 22| 115-3] 39+7j] 721162. 56. [ 22 209.723 
2321.77. 5 69.0 23.8 23] 116.3] 40.0ff 730163.6 56.3 23 2104] 724 
24|22+7 1097.8 79:0124.1]] 241 1217-2149-4}] 74] 164+5] 56.7} 24 211.8] 72, 
25 23 6 03.1 70-9]24-4 |} 25 118.2 40.225 165.5 57.0 25| 212-7] 73. 
26124.6]08.5 71.9]24.7|| 126] 119. 1047. 176 166.4| 57.3 || 226] 213-7] 73.6 
27|25-5|05.8 72.8 [25.1 27120. 141.4 7-| 167.3] 57.6} 27 214.60 73. 
2826.5 09.1 73˙7 25/40 28] 121-C[41.7]]| 7868.3 58.00 28] 215.60 74 
20127. 4109.4 14-7125-7]] 29] 122.042. 0 7169.2 58.3 29 2166.5 74. 
30|28-4|09.5 _ $8017 5-6 26.01] 30] 122-9142-3]| 8c|170 258 6 30 217-5] 74 
"31129-3| 10.1 79.0126.4]] 131] 123-9] 427/190 171.1] 538.9 ]| 231] 218.475 
32|39-3] 1944 77.5 26.7 32 124.843. 0] $2] 172.1] 59-3 2| 219.3] 75: 
33] 31+2| 10.7 78.5 27. o 331 125-7143 3 8373.0 59. 33 220.3] 755 
34|32+-1T] 11+! | 79-4 [27.4] 34 126.743.650 84/174. 0 59.9 34 | 221-2] 7. 

135133 11.4 80.4 27-71] 35 127.6 44-0 $51174.9}6c.2 35| 222-2 70. 

| 361340 11-7 51,3028. 136] 128.644 318647 5.9 60.6 236 223-1] 76.! 
3735.0 12. o 82.3 28.3 371 129+5] 44-6] 87176.869,9 37] 2241] 77. 
38135-91124 $3-2[28.7]} 38730. 544.9 88|177-7|61.2 38] 22500 77-5 
39] 3045 12-7 $4-1[29.0 39113445. 89/778 7j61.5]] 39 226,0 77. 

DU e eee 2. go| 226.9] 75. 
41138 813.3 86.0 29.6 1411 133+31 45-9 191180. 662.2 300 283.7] 97.7 
421 39-7] 13+7 37.0 30.0 42 134.3 46.2 92 18 1. 5 62.5 400 78.2 130.2 
43140. 714.0 37.9 30.3 43071352 46.6½ 93182. 5 62,8 500 47280162“ 

144 41.614.3 58.9 30.6 44113%1[46.9]] 94183 463.2 boof 567-31195-3 
4642.514.7 89.8 32-9]] 45[237-2 [47-2] 95 194.4 63. 5 oo 661.9 227-9 
46143-51540 909.8]31.31] r46]138-0|47.5 196185. 363.8 [300 756.4|260.; 
47144-4115-3 91.731. 471139-0147-9]| 97186 364.1 goo| 85762939 
48045˙4 (15.6 9892 73.9 48139.9 48.2 981187.2 64. 51000 945˙50328•6 
4946.3 16.0 99 93.6032. 2 4014.9 48.5 99188. 164.8 2000 1891-0] 651 

842-3 16.3 1094.5 32-6 150|141-8|43.8]| 200] 189.1065. 11 3000 2536-: 976." 

Diſt | Dep, Lat. NDiſi Dep.] Lat.  Dit|Dep. | Tat 1m] Dep. Lat. [ Diſt. | Dep. | Lats 

| 


— 
— 


2132 ©9—2 al 6 d — 


r, © .,, meas 


G > £ | a ak ac. & 


% 
* 


Difference of Latitude and Departure: 189 


20 Degrees. | | | i 


bebe | Dep. \| Dit | Lat. Dep. piſt| Lat. Dep. Diſt. | Lat. Dep. 

5.4 27 60˙9 00.31] 511 47»g] 17-4 {| 101} 94-9] 34+5|| 151] 141-9] 51.6] 201] 188.9 68.7] 
«51M [01.5] 00-71] 52148 9] 17-3j] 02] 95-3] 34-9] 521142-3]52.0]| oz| 189.8] 69.7 
b.1 3002.8 01.00 53/498 18.1 03 96.8 35.2 53143852. 3 03 190. 8 69.4 
5.4 4193-5 | 01-41} 54] 397 18.51] 04] 97-7135-6]| 54|144-7] 52.7 o4 191-7] 69.2 
b.7 $1947 [21-71| 55] 31-7 15.81} 05 98-71 35-91] 551145:7]530]Þ os 192-6] 70.1 
05.5 | 02-21} 56] 52 6] 19-2 || 106] 99.636. 3156 146.6|53.4 || 206| 193-6 70.5 
744 „ob. 6 02.4 57] 53-6] 19-51] o. 5 36 60] 57/147-5|53.7]] o74 194.5] 70. 

7.7 8107.5 [02.7 58] 54-5 19.8 [[ 8101.5 36.9 58 148.5] 54.0 o8] 195.5] 71.1 
8.1 6408.5 [03.1 5955 429˙¼ 2902.4 37-31} 591 149-4] 54:4 og9| 196.4] 71.5 
d 4 10 09·4 | 93-4 || 60 $94 [30-5 || _101 103 $1 37-0 _601150-4] 54-7 10] 197.3] 71.8 
— , 10.3 [03.8 72 57+31]20-9]| 111] 104.3] 35.0{|[161]151.3] 55.1] 211] 198.3 2.2 


04. 1 62| 559+3]21-2]| 12|105.2] 38.3 62|152.2[55.4 12] 199.2] 72. | 
04.4 63] 59-2|21-5j] 1310. 238.6 631153.2[55.7 13] 200.24 72. 
O4. 8 6469. 121.9 14] 107.1] 39-0 64/1541 56.1 141 201.1 73.2 
05.1 65 61.1122.2 15 108.1 39·3 6 5 158.1 56.4 151 202.0 73.51 
05.5 6662.0 22.011609. 0 10.0 166 156.0 56.8 276 203. o 73-9] 

þ 


| 
| 
05.8 67193-0]22.9]} 17|109.9|40.0j| 67156. 9 1 


07.5 72107+7]24-6]] 22114. 64.7 72[161.6|58.8 224 208\6] 75.9 
07. 9 738.6 25- 0 23115.6 42.1 731 162.6 59.2] 23] 209-6] 76.3 
08.2 74199-5]25-3j] 24/116 5142-4} 74/763. 28 241 339-5 76.6 
08.6 75172-5[25*7}] 25|117.5[42-8]] 75|[104-4] 59.9] 25] 211-4] 77.0 
08.9 7671.4 26.0 126] 118.4]43-1}|176| 165.4 60.2 226 212.4 77-3 
09.2 77172-4|20-3]! 27[ 119.3] 43-41] 77|166.3]60.5)] 27] 213.3] 77. | 
09.6 78173-3]26-7]] 28120. 343.8 7816.3 60.9 28] 214.3] 78.0 
09.0 79 74,227. 0] 29 121.244. 1 79] 168.2 et 29] 215.2] 78.3 


171 203-9] 74-2 9 
05.2 6853.9 23.3 14110. 940.4 6857.9 57. 5 18] 204.9] 74.6 
06.5 6964.823619 111.8 40.7 69 158.8 57.8 19] 205.8] 74.9 
o6.z|| 70j55:8]239f] 20|112.8[41.0f} 70| 159-7] 58.1)] 20| 206.7 75.21 Fi 
07.2 71 00.7 24311121 113.7 41.4 171 160.7 58. 5 221 207.7 75.6 | 
| 


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2) 
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Ow 
GC 
D 
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— 
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Un 
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— 
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0141051. 320 187.9 68.4 3000 [2819.1 1026.0 
Le Dif Dep.] Lat. Dit! Pep. Lat, UDiſt | 


70 Degrees. 


Difference of Latitude and Departure. 


190 
[ 21 Degree. 
Dift] Lat. [Orp. I Diſt Lat. _ Diſt Lat, | Dep. Diſt; Lat. | Dep, Dit i Lat 
" 1100.9 [00.4 51047018. 37101 94-3] 36-2 151] 141 054.10] 207] 187.6 
2001.9 0. 7 5248.5 18.61] oz] 95.3] 36.6 52| 141.9] 54+ oz 128.6 
302.8 [of. 1 5349.50 19.0 03] 96.2 36.9 53 142.9] 54. 03| 139.5 
| 493.7 1.4 5415041 19:41] oz] 97-1] 37-3 54| 143-8] 55.2 o4 190.4 
E 01.8 $5]51-3]19-7]] 05 98.1 37-6 _$5]144+7] 55: og] 191.4 
& 605.602 2 20. 1106 99.0 38.0156 145+7|55+9 |] 06 192.3 
| 710b.5 [02.5 20.4 07 99.9] 38.3 571] 146.6] 56.3 7 193.2 
8107.5 02.9 29.8 [08 100. 9 38.7 58/147. 556.6 og 194.2 
| [08.4 [03-2 2120 9101.8 39.1]} 55} 48.557. 0 og 195.1 
1009.3 [03-6 21.51] 101]102.7] 39-4 Ol 149-4} $7.3 T0] 196.0 
11110.3 [03-9 «9]221-9]] 111[ 103.7] 39-5] 161] 750. 3057.7 [AI 197.0 
| 221 11-2 [04-3 : 23-2 | 12104. 6 40.11] 62|151.3] 58.1 12 197.9 
1312.14. 6 58.8 22.6 13105. 5 40.5 6317152.258.4 13] 198.8 
14] 13-1105.0 59-7] 22-9]} 14/106. 5 40.9 64] 153.1] 58.8 14 199.8 
18114. [05.4 5] 60. 22-3} 15110744] 41-2]} 65] 154-1] 59.1 151 200.7 
16 14.905. 7 61.623 71161108. 30 41.0 || x66 155.059.5216 201.6 
17 15.9 06. 1 62.5 24.0 17] 109.3] 41-9 67 I55-9 59-9| 17 202.6 
13] 16.806. 5 63-5124-4]] 18]110.2| 423 [ 68|156.9]60.2]| 18 203.5 
1107.7 [06.3 64.4247 19] 111-1] 42.6 69] 157.8 60.6| 19 204.4 
4 20|138.7107-2 65.4]25-1 |_20] 112-1 43-0} 70 158.7]60.9]] a0 205.4 
211 19.6%. 5 66.3125-4||121]173.0] 43-4171] 159.7]61.3]| 557 206.3 
22 20. 507. 9 67.21 25. 8 22|113.9] 43-7 || 72|160.6|6r. 221 207.2 
231275 08.2 68.1] 26,2 | 2311149] 44.173161. 562.0 23 208.2 
24022. 4 [08.6 69.1026. 2411.80 44.4 74 162.5|62.4| 240 209.1 
25123-3129:2 70 0126.9] 258 116.7 44 3 751163-4|62-7]] 25 210.0 
27125. 209.7 27.6 27|118.6] 45.5 71165.3 63.4 27] 211.9 
28126. 1110. o 28.0 28119. 5 F. 9 78| 166.2 63.8 28] 212.8 
j 20127+1110.4 28.3 291120. 5 46.2 79 167.1 64.2 2 213.8 
3028.0 10.8 2823 45.5 8168 1064.5 30 214.7 
E85 29-0 i31] 122-3] 276 191 | 16g [agg -i ans 
3229.9 Weg 294 32[123-3] 47-3] 82|169.9|65,2 32 216.6 
331 39+3|11, 29 7 33] 124-2] 47-7 || 83] 170.9 65 60 33] 217:5 
3443712. 2 30. 1 34125. 1 48.0 84[171.8 65.90 34 218.4 
35 132.713. 5 88 79-3] 39-5} 35| 126.1 43.4 85 172 7166.3 351 210.4 
36336129 8680. 30 30.8 136 127.0 48.7 [186 173.7 66.7 [ 236 220.3 
2265 8782372 371127.9] 491 8774.66. 37 221.2 
3803 5˙¼ 513-6 8882.103150 38128.9 49-51] 88 175˙5ʃ67.4 33] 222.2 
3935-4, 89]83-1131-9] 3929.8 49.8 8978.57 7 391 224.1 
_49]37-3[24:3]] 9914-0] 32-31} 49] 130-7] 5.2 90[177-4]68.1]] go 224.1 
438.3147 9184.9 32.60 140131. 50-5 1911785.368. 5 300 280.1 
1 42139-2]15+1]] 9285.9 33.0) 42 132.6 50.9 | 921179.3158 8 400] 373.4 
43140-1115-4 1 931]86.8[ 33.31] 43] 133-5]51-31} 935 18042 69-2] 500 466.8 
444101580 94187.7] 33-71} 44] 134-5] 51-6f] gal 184.1 69-5]] 600] 560.2 
| 45]42-0]16-1 _951]88.7] 34-0 _451135:4]52:2}] 95 182.169.9 ] 700 653-5 
46}42.9110-51} 9689.6 34.4145 136.3] 52-3 || 196| 18 70. 3600 746.9 
47143-9] 19-31} 971 90.51 34-81] 47 137-3] 52-71] 97183.9 7.60 goo 840.2 
4544.87.20 98]g1.5|35.1 48 138.2 53.0 98] 184.9 71.0 1000] 933 6 
| 4914571 17-0] g9192-4} 35-50} 49139. 53.40 99] 185.8[71.3||2000] 1867.2 
_$0[46.7117.9 100193-4} 35-51} 159] 140-11 53 811200] 186.7[71.7|3000| 2800.8 
[ift} Dep. Lat Bin Dep. Lat. Dit] Dep. Lat. Bit Dep. [Lat. IDiſt.] Dep. 
69 Degrees. 


Difference of Latitude and Departure; 


— 


191 


I 22 Degrees. 1 

* Dit Las. D-p. |) Dift | Lat, | Dep 1(Viſt Lat. | Dep, ON. | Lat, | Dep. 

2 — . — = 8|[r51] 140.0] 56.6 201 186. 75.3 

10 00.9] 00.4|| 51 > Y- * * 2276 4 y pg * o2| 187.3 12 

24 01.9 00.7 52048 5 "LEES : o3] 2188.2] 76.0 

2 6 el. 10 5349-1 19.91} 03 | 95:5[38-6|| 53 r 189.1] 76.4 

Jl oz. 01. 5 54 50.1 20.2 04 96.4 39.0 54 ay oj *. ny. 190.1 76.8 

2 2 2 = 1 2 I= 206 191.00 77-2] 

T 05.0 02.2| 56|51.9]21.0]| x06] 98.3 19.7 15 $44 bye „nnr 

1 ob. oz. 6 5752.9[ 21.4 o7| 99.240. 57145 : | 

g 5 8 81100 1040.5 58 1409.5] 59.2 08 192.91 77+9 

+ 974.88 1 2310.54 3512674556 og] 1933] 78.3] 

4 — 222 +4 17 22. 02% . 1cÞ 194.7] 78.7 

2 2 —|— —|— © lis p .6 0 

* e 

0 e e 

. 12.1104.9]] 63155-4]7.3.6]] 13] 104. 2.71] 64] 152.7614 14 192.2] 20.2 

7 ot ri lt ogy ad ener 199-3]_8$0.5 

7.1 13.905. 6 6; 99.3] 24+3 Den 3 776 200-3 TI | 

2 14.5 06.0 5 2 + = 1 43-5 25 153-9 * a Fae 27.3 

7.4 15.381 06.4 2223. 1 5 gi 68] 155-8] 62.9 18] 202.1] $1.7 

1 16.7 [ob. 7 6863. 025.5 18] 199.41 44- 6.7 63.3 [19 203.1] 82.0 

. 17.607. 0 69258 191.3 44.0 — 8 Mo — . 92.4 

1 eee ＋ 75 „ 

T 19.579715 8026.6 1211122453171 ge. . 8 5 84 $3.2} 

pence operand Bel ra al Belo gt We erred oe 

9 9 21.3J08.6 737.7 27-3] 2 . 6 161.365.224 209.5 83.91 

e eee 

2.0 2 5 . . . . | 

— — . — 2 —— 28.5126 110.8 47.276163. 265.9 [220 209-5] 847 N 

1.9 24.1109.7 || 7670.5 '31 $147.6|| 77 | 164.1|66.3 27] 210.5] 83. | 

* 25.19.10 7717 1-4[25.5] 27 ol * : 9 781165. 0166.7 28] 211.94] 83.4 

1.7 26.0] 10.5 7872.3 29.2 2881 7 +7: on jt * F TH 

1.1 25.910 9 79173-2129-0]] 291119. 12 80 166.9 67.4 30 213.3 $6.2] 

79 | EE 181] 167.8[67.5|| 231] 214-2] 6,5] 

2.3 8777.6 $1175.10 3.31310 727,49•1 82165 868.2 10 215.1] 86.9 

1 29-71 12.0} 82935“ 321 122-4 149-4 831109.7159.6]| 33] 216.0] 87.3 | 

6 0001 22-4 $3177-01 35-10 33 2 4 8417.606890 24] 217.0] 87.7 ; 

3-9 31-5[12.7 )} $4177-9] 31-50 34] 2+: 50.60 85|171-5|69.3] 35] 217.9] 88.0 f 

. 5113-10 5175 auth 35 [ang yn 186 172-5169 7230 218.8 BT, 1 

45 33-a13.5 $6179-7] 32.2136 oy 5 = mel Tot 371 219.7] $8.8] 

+0 +4) nd e ied 2 174-3[70-4|| 38] 220.7] 89.2 \ 

4 5-21 04-20 2R100.0533-08 3 128. 4 891175. 270.8 39] 221.6] 89.5 if 

a e Less. 2.4228. 228,022 42 222.6 39.6 \ 

0 — 6 . . n cou { cs | 

7.1 8.0154 91/84 4J34˙1½141 A N. 3-2}| 9278.71.94 370.9 148.9 | 

3? 38.9 15.7 92185 3134-50] 42 J13 7 5 6 1] 93] 178-9[72.3 | 50of 463.6 187.3 | 

90 39.916. 1 93 86.2134·8[ 43132. jj 941 179.8]72+.7 |] 600 556.3 224˙8 

35 49.8] 46.5 948.2035, 44[133-5[53 780.873 vo 649.0] 262.2 | 

0.8 5141-7] 16.9 1] 9588.1] 35-61] 45] 134 454-3 95 eee 

* 2777 96139.01 36.0|| 146 | 135-4] 54.7 [90 181.7] 73-4 [0 741.8] 299-7 

* 42.7] 17.2} 96139.0] 36,0} 146 48 * 971182.7 73.8 900 834.5 337.2 

Toh 7143-6] 17.6]] 97 $9.9] 30-3 47 j 139-3 55 4 93] 183.6] 74.2 [000 927.2 374.6 | 

5.3 4144.5] 18.0} 9890.36.75 48137˙2 22412 000 1854. 2 4 

6.6 "es 138.21 55-8 || 99] 184.5] 74.5 U 54-4 749 | 

| | 46. +. 4 Ap 1255 150 139.3 56.2 ||200] 185.4] 74:9 [3000 [2781.6 hid why | 

— 509149-4] 15.7 f| r00[92- 24142 —{—||—| — 1 — Me, | Dea 1 Lee. T 

4 | (2:4) Dep.| Carr [Din] Top. Lat. [DIR Dep. Lat, [Dif Dep. [Lat. Oi. | Dep, | _— f 

— — _ : 4 1 
68 Degrees. | | 

2 CO ns Eos 5 — 


F EEECCCCCCCCCC 


192 Difference of Latitude and Departure. 
| 23 Degrees. | 
Diſt Lat, Dep. I Diſt Lat. ,Vep. ,(Diſty Lat. Dep. Diſt! Lat. Dep. Dit. | 
I | 00,9 [00-4 )f 51 46.9] 19+9|| 104 93-2139 5 151 139.0 59.0 201 
2|01.8100.5 || 52147-9120-3\} 02] 93.91 39.9|| 52[139-9] 59.4 oz 
| 3 02,8]01.2 || 5348.8 [20.7 [oz] 94-8140.2 53]14v-5] 59.5] oz 
4103.7 01.61 54497 [21-1 O04] 95.7140.6 54 141.8| 6v.2 04 
504.6002. 55 50-6|21.5|] es 9.7 Aro 551142. 6 05 
6105. 502.3 [ 5651.5[21.9/ 106 97.6[41.4 156 143.560. 9 206 
71 95-41 92-7 57[52˙5 [23 98.5478 57144-5613 o7 
8107. 4J 03.1] 58 53.4/22.7 [08 99.442.2 ] 5845 461.7 08 
9108.3J03.5 59543231 09 100. 342.6 59 146.4 62.1 o9 
1009.23.25 [41/101 3043. [ 6142-3 [z 5 10 
ET 10. 104.3 61] 5$6.1]23->|| r11] 102,2 43.4 161 148.262.9271 
12111004. 7 62|57-1124-2]] 12]103.1143.$]] 6249.7 63.3 12 
13112. 05.1 63 58.0 24.6 13} 104,01 44-1 63 150.0 63-7 13 
14 12.905˙ 5 6458.9 25·0 14] 104.9] 44-5j] 64] 151.0] 64.1 14 
15113-31059] _®5159:3125:4]| 15] 105-9144-9]] 65|151-9164-5}| 15 
16 14.700. 3] 66 68.825.8[116 106.3 45˙3 156 152.8164.9]] 216 
17] 15.6]06.6]} 6761.72.20 15] 107,7[45.7j] 67115347 |65.2 17 
| 18] 16.6107.0 [[ 68162. 6 26.6 18 108.6 46.1;| 6854.6 65.6 18 
19 17-5]97-4|| 6963-527 % 19109. 546.5 69 155.6 66.0 19 
5 18.41 07.58 _70 64-4| 27-3 _20\ 110.5 46.9] 70150. 5 66.4 20 
2119.3 08.2 71195-4]27-7|| 121] 111.4147+3 171]157-4] 60.5] 221 
22 20.31 08.6] 72199.3125-14} 221123047. 7 721158-3]67.2}| 22 
| 232121990 73127+2 28.5 23113.2 [48.1 730459-2167.6]| 23 
241 22-1] 09-4] 74 68.128.960 24 114.1] 45.4}] 74108. 268. o 24 
25|23-0]09.8j] 75199-0129-31| 25[1151038.8 75/161. 1068.4 25 
2623.9 10.2 [ 7670. 029.7126116, 49-2 || 176] 162.0 68.8 [226 
1 27|24-9] 10-51} 77179-9] 32-71} 2216.914960 7762.9 69.20 27 
28] 25.81 10-9]| 7871-51 39-51| 28| 117.8] 50.0} 78163.8 69.5 28 
| 29 26,7] 11-3] 79172+75 39-9]] 29] 118.7] 50.4 79[104-8[ 69.9 29 
_30|27.6]11-7 _8$0]73-61 31-3 30] 119.7] 50-81} 8o[165.7]70 4] 30 
31] 28.512.181 74-0] 31-®]] 131] 120.6 51.2||[181]106.6| 70.7 231 
3z| 29-5] 12.5}| 2175-5] 32-©\} 321 222.5 51-61] 82[167.5]71.1])} 32 
33] 39-41] 12-9 83 70.4] 354 331122. 44520 83 168.5 71.5 33 
34| 31-3] 13-3|| 4177-3] 32 8 341233824 $4[169.4|71.9]] 34 
35] 32-2] 13-7 85 78.2] 33-2 35] 124-3 | 52+7 85170.3 [72.3 35 
36] 33.114.100 8629.2 33-9]|136|125,2053.1]| 1861712727 236 
371 34.1114. 5 8789.34. 71126.1]53-5]] 87]172-1] 73.1 37 
3835.14.80 33131 9/344 385] 127.0|53-9]| 88173.1J73.5 38 
39] 35-9] 15-21} 59] 81-91 34-51} 341 127.9] 54-3] 8974.73.80 39 
49] 36.8 15-6 _yo 82.8 382/40 128.9 54-7 || 90174.9 74.2 40 
41] 32.716. 91153-S]35-0{| 141] 129.8] 55-1][191]1753| 74.6] 300 
42] 38.7|16.4}} 92154+-7] 35-91] 42|130.7[55-5}| g2[170-7]75.0f| 400 
43] 39-6] 16.8] 93]55-6| 36-31} 431 131.6]55.9)| 931177-7] 75.41] 500 
44| 49+5] 17.2 | 9486.5 30.71] 44/132. 56. 3 9478.6 75.8 boo 
_45|41.4|17-6]| 9587 4[ 37-11} 45] 133-5] 56-71 95| 179-5] 74.2}| 700 
46] 42.3] 18.0 988.4370 145| 134-4] 57-0 196 132-4] 76.6]] 800 
471 43-3] 13 «| 9719-3] 37-9j} 47[135-3] 57-4 |] 97] 131-3] 77.0f| goo 
| 43] 44.2] 15.8 9890.20 38.30 48 136.2] 57-5 j| 98] 182+3|77.4||ro00 
4%] 45.1] 19.1]} 99]91-1] 38.7 49] 137.2] 58.2 99| 133-2] 77.7 [[2000 
5046 of 19.3} 100|92.0] 39.1 150 138.1] 58.0 || 200 184.1] 78,1 3000 
Diſtt Dep. | Lat. Dit Dep.] Lat. 511 Dep. | Lat | Dit Dep | Lat Diſt 
| 67 Degrees. 


=> 
= 


1822 WY — 


1 


8 3 = 


a a # #% 


Pg TIS 4 We." JR 1 T „ e 


| Difference of Latitude and Departure. 193 


24 Degrees. | 
Diſt | Lat. Dep. 11 Diſt| Lat. Dep. Diſt) Lat. Dep. el] Lat, | Deo. 


5146.6 [20.7 [| 101] 92.3]41-1\[r1511137-9]61r.4f} 2cr| 193.6 
521 47-5121.1|} oz| 93.24.50 521138-9[61.8f} oz] 184.5] 82.2 
53 139.8 62.2 031 185.4 82.6 | 
54 [149.7 62.6 og] 186.4] $3.c} 
55 141.6 63.0]] og} 185.3 $3.4 | 
56 142.5 63.40 206 188.2 "838 | 
571143-4|63-9]]} o7f 189.1] 84. 
58 144.364.308 190.0] 84.6 
59[145+-2164.7]] ogf 190.9 8 5. 
60]146-2[65.1]]} 1% 101.8] 85.4 
1611147.1 165.5 211 192.7 85.8 
62]148.0[65.9 121 193.7] $6.2 
631148-9]66.3]] 14] 194-6] $6.6 
64]149-8]66.7]] 14] 195-5] 87.0 
65] $9:4[25 41|_15] 125211422} 651 250:7 [67:2]} _15[ 296-4] _87 4 
; 166[151.6]67.51]] 216] 197.3] 87.8 
671152-6]167.9]] 17] 198.2 88.3 
68]153-51]68:3]] 18 199.1] 88.7 
69]154-4[98.7]] 19 200 x| 89.1 
70 155-3169.1 20] 201.0} 89.5 
1711156.2[69.5]] 221] 201.9 89.9 


2 
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— i — — 


72] 05-8 22|111.4|49-0|| 72157. 17. 22| 202.8 90.3 
74| 67-6 241113-31 5% 74|158.9]79-8]] 24] 204.6] g1.1 


S229] ==} 2512255] 91:5 
176 160.8 71.0] 226 206 5 91.9 
7716.7 27 27] 207-4] 92.3 


78 [162.6] 72.4 
79]163.5172 8 
80 t64.4 77-21] 30] 210-1] 53.5 
181]105.3173-0fj] 231] 211.0 : 

4 3 93-9 


831167-2174-4]] 33] 212-3] g4.8 
$4|108.1]74.8ſ} 34] 214.8 95.2f 
$5 169.0 15-2}] 35] 214-7] 95.6 
186 i69-9 75.6 246 2156 96.0 
8710.8 J76.1 37] 216.5 96.4 
88]171-7176.5j} 38] 217.4 968] 
89|172-7]76.9}] 39 218.3 97.2 
go |173-0177-3!] 40j 219-2] 97.6 
I911174+5177+7 
921175-4178.1 
93 176.3 78.5 
94177. 278.9 bo 538.5 244.0 
95 | 178.1 79-3j| 70 639.5 284.7 
196] 179-0] 79-7j| Soo] 550.3] 328. 
97 | 189.0]80.1}] yoo $22.2 5 5 


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9389.51 39.9] 48[135-2[60.2}} 98180. 9 80. 5 10 913.60 406.5 
99 99-4 40-31] 49136. 160.6 gg 181.58]80.9)}2000]1827.2| $15.4 
105 [91.40 40-7 || 150] 137.0] 61 offzoo| 182.7 )S1.3)};ooo0]27,0 8! 1-20. 1 
5 Dep. | Lat | Diſt] Dep. | Lat. fIDutt] Dep. Lat, | ut J Deo, Lt. 
66 Degrees. 
— * Cc "4M Is Phe As — 


1 


—— — 


„ 


— - —— I OO E ZS === - - 
_—— — 
— 


194 


MM. — - 42+ 


— Latitude and Departure. 


| 25 Degrees. 
Diſt Lat. Dep. 8 Lat, jDep.y[Diftj Lats Dep. | Diſt, Lat. (Dep, Dit. 
[x 00.9 100.4 51 46.2 21.6107 91.5, 42.771151 136.9 63.8 '201 
2,01.3 00.8}] 52147.1122.0j] o2| 92.447, 52113753] 64-2f] 02 
Lf 02.1.3 $3145-0122-41] 03| 93-3143-5 || 531]133-7] 04-7}} oz 
4 03.6 [01.7 5448.9 22.8 }| 04 94˙3 44.0 54139665. 1 oz 
b eee ee 
6 05-4 [02.5 56|50.8[23-7 106 96.1144 8 [| 156[141-4j65.9}} 206 
706. 303,0 570 51-7124+1 a 97.9]45-2 || 57 [142-31 66, 07 
8007.3 103-4}| 58152.6124-5]} © | 97-9} 45-61] 58 143-2 66. 08 
9.08.2 03.8 59[ 53.5124 9 09 98.8 46.1 59 144.767. [ og 
Adee [4-2 r 22 E e 
1110. 0 og. 6 6155.32 5.8 111100. 6 %.9 110745 968.0211 
120 10.9 [of. I 62 56.226.212 101. 5 [47.3 [ 62114 6.868. 12 
1311.8 [of. 5 63157.2125-6}} 13102. 447.8 6342.768913 
1412.7 5-9 6458.07. 0 14[103.3 [48.2 || 64[143.bj69.3]] 14 
| 2] 23:6Po6.5 | 65]58.0]27:5_15[104:2 45.6] _650149:5163-70| x; 
1614. 5 06.8] 66] 59.8 27.9 116105. 149.0166 150. 470.2 210 
1715.47. 2 6760.5 a8.3 17106. o 49. 4 67]151 4/70. 17 
18] 16.307. 6] 6861.6 8.7 x8]106.9 [49.9 || 68] 152.43] 71.0 18 
19 17. 2 [08.0] 6962. 529.2 19]107.8 [50.3 || 69]153.2]71.4 19 
208.108. 5 2063.4 9.5 2018.8 0.2 || 7o[154-1]71.80] 20 
| 21019. 008.9 7164. [30.0 121109.7 [51-1 || 171] 15540] 72.3]| 221 | 
22] 19.9 09.3] 72165. 330.4 22j110.6[51.6]} 72[155-9]72.7]| 22 24 914 
23] 20.8109.7 || 73156.2130.8]} 23/111.5152.0}| 73]156.8]73.1) 23 202.1] 942 
24|21.8]10.1f} 74|67.1}31.30} 24[112-4 [52-4 |] 74] 157-717 3+5 24| 203.0] 947 
| 2522-7110-61} 75165-c137-7f 2512133 [52-8] 750158-6174-off _25|_203-9] 94. 
| 26|23-6]11.0f} 76168.9[32.1}] r26|114.2 153.2 |} 176 I59-5174-4j] 226 204.8 995 
27124-5|11.4}} 7769.8 32.5 29|115.1153-7 71160. 474.8 [ 27] 205.7] 953 
28254/7118 fl 7870. 7J33˙* 28116. 54. 1] 78161.375˙ [ 28] 206.6 66.4 
29] 206.312. 3 7971.6 [33.4 29116.9 54.5 79 162.275.6 29 207.5} g68 
30 22.212. 80 72. 8 33-8 30 112.8 54-9 80 163.176.7 300 208.4] 91.2 
3x]28.1]13.1]] 81173.4[34-2|| 132|118.7 [55 4 || 131] 164-0[76.5)} 231] 209.4] 97.6 
32|29-0j13.5]} 32174.3]34-7} 32/119-6155.8 [ 32]164.9]176.9]} 32 210.3] gb. 
' 33129-91139] $31[75-2[35-1]| 330120. 556.2 [ 82165.9 77.30 33 211.2] 91.5 
3430. 814.4 84/76. 135.5 34(121.4 [55.6 |] 84|166.8[77.8 34] 212.1] 9 
3513021248] _£5177:0135:9 0 _35[122:4 [57:2 | _$51207:7178-20 350 213-00 _993 
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37133-5]15-6}] $7]75-8[36.8}} 37] 1242 [57-9 || 87169.5½7 9.0% 435] 214 3] 100: 
38034 4[16.1]| $3179.8[37-21| 38012. 158.3 [ 88]179-4j79.4\} 38 215.7] 1004 
393 5.3016. 89 80.737.639 726.0 58.7 8971.39. 9 39 216.60 101.9 
40 36.30 16.9] 908.638.040 126.959. 2 _go[172-2ſ20.3]] go 217-5 1014 
41,37-2117-3]] 91]82.5135.5 6141 12.78 |59-6 1911173-1182.7]| 300 271.9] 126.) 
42138.1117.74} 92183.4138.9 42128. 2 fe of 92 174.008 1. 1 400 362.5] 1691 
43139.028.2 [ 9384.3039.3 431129.6 60.4] 9374908 1.6 500 453.2] 217 
4439918. 948239. 7 [ 44/130. 560.9 94175-8582. 0 é 543.80 253% 
45]49.8119.0]} 2586.14. [45 131.4 61.3 951176 7122.4} 7000 634-4} 235) 
4641.79.41 9687. 040.6 1461132.3 [61.7 196 177. 682.8 300 725.1 331 
47142-6[19.9]] 9787.9 [41.0 [ 47/133. 262.1 97|178-5183.3]] goo] $15.7] 3% 
4843.5 20. 3 98]S8.8]41.4 |] 480734. 162.5 g98[179-4j83.7 i000 906.30 4220 
4c144-4120-7 jj 99 89.7[41-8 49|135-0163.0]] 99118044184.1||2o00| 18 12.6 $4z.a 
— 2100 20.6 42.3 [15013 5.96.4 200 181.3084. 5 300002718 9/0 
Dit Dep. Lr. | Dit} Dep Lr. Bi Bop. [Lat, ¶ Bin JDep, Tat. DIR] Dep, | U. 
65 Degrees. 


W DA 


wc WH TI © aA AF 7% + a. .. 


aoafe £2. a £4. 


Ee | T1 
Difference of Latitude and Departure. 95 
2 6 Degrees. | - 
| ; N 
I bB Lat, Dep. Diſt Lat, Beg. (Diſt. L EF, 
40 Lat. 0204 2 To 8 [44.3]| 1511 135-7] 66.2 201 180.7] 88.1 
Ji 222 5145-8 [22.4101 90. 44-3} - 136.6] 66.6 02| 181.6 88.6, 
1 9148 00.9 || 5246.7 22.5 02 22.5 444 * 137.567. oz] 182.5] 89.0 
S 4s 91.3 53147-0]23-21| 03 3 470 54 1138-4} 67.5} 04 103-4 92 5 
03.61. 5448.502370 04 4045.0 55| 139.30 68. os 184.3] 89 9 
E ee 106] 5/5. 140.2[63.4 | 38 585 
— 92.6 56 50.3 2 1 96.2 [46.90] 57141.168.8 [07 * 0 444 
o[o6.3]93 1 12 34 eb 97.1 2. J 804 ny, — 187.8 376 
7 278 5 53-0]25-9}} og| 88.4781 59 w 3 70.1]| 12 188.7] 92.1 
9 93.11 23-9 - 3.9 — 10 98.9 3 | _bo xn. F 189.0 2 
222 [=== 99-8 [48-7] 161] 144-7170.6 || 211 9 ht ff. ay 
1 g e f 12] 290 22 
* 19.5195+3 67 58.6 74 13 101.6 49.5] + *. Ay. * 12 —＋ 
«71237 ENTS) 02. 0 147. . 
13 * 1 64] 57-51 28-1 14 . gs 65 148.3 72.3 15 193-2] 9443 
13.56. 6588428. x; 589/7667497 [C2160 294-1] 94.5 
5 — — 22 8-9]] 216] 104-3 | 5,9 1661 149 | 195.0] 96.1 
1611441 97»© 66 29: 3120-9 105.2 | 51.31} 67150, 73-2] *. 6 
16 15.317.567 * 294 2 * 1151.7 681151,0|73-7] 18 1. . 
7111 68] 61.1] 29. I ; : 4 19 190. 
6.2] 27+9 Of 52-21} 69151-9174 
- 1408.3 69 * 2271 20 718824. 20 _ 9 
| 2-9 | 30. — || -] -- : | 
20 iS 02-7 4 55 — 751 1108.8 | 55:0 1711153+-7 75-9] 2 — ay 
We 5264.7 1.6 axſ209-7[$3-3 721154017548 22 200.4] 97.8 
12119,8]29-0}} 72 * 3 55 231 119.6] 5349 73 155 5175: 3 201.2] 98.2 
23[29.7] 12-1] 730 05-01 32: 24 112-5] 54-41} 741 156-3763 24 202.2] 98.60 
2447.5 77.705 e ——. 
WED - * a 1261132552 7158.27. 226 955 4p 
Aer 3340 2717 en 
5 . 20 * . - 
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29 26,11 12-7} 79 4 i 2 118.8 57.0 80[161-8]78.9]] 326.7 . 
327-0. 2 2242 705 117-7 57-411 1811 162.7 79-41] 23! * . 
1 13.61 S1] 72-51} 35-5013 8.6 57.9 82163.679.8 32J 288.5 0 
1 Is 14.0 $21 73-71 35-9|] 32 vi 58.3 831164. 5[80. 2 33] 209.4 any 
- 29.7 | 14+5 83 74.6 30-4 33 120.4 58.7 24 165.4 80.7 34 2 62 
0 30. 614.9 84] 75+5 Ml + 121-3] 59.2}} $5 166.3 — 35] =?» hat Le | 
35 31.5 182 85 76.4 3J7+3 wal gone 59.6 186 167.2 315 236 212.1 1 . 
36 32-4] 15+8}} 86] 7743 * 4 123.11 60.1 37168.1[8 2.81] 37 1128 654 
3733-3] 20-21] S710 78.2 * "3 124.060.5088 © +] 30 ALY road 
38 34-2 16.7 88 79-113 * 391124. 9 Go 9 89 169.9 52.9] 39 215.7 105.2 
ie eee $4 hone { ol go 179-3183-30| 40 —=| 
41 36.918. 91] 84.8 22 = 127.6623 g2[172.6154.2 || 400 44 219.2 
433.218.292 * I 43] 128.5102.7 |} 931173-5 $4.6 me” any 263.0 
3038.6 18.9 — 42.5472 44112944 2 94 TY we 700 629.2 306.9 
1 1943 : . 6 . 0 22 W eee 
407250244 ieee 776.2559 550 719-0] 3507 
222 111461131.2 464.00} 196 17 oo 808.9] 394.5 
9141.3 {2V.2 96 $6.3 42. 177.1 $6.4 Q 
$6) 41.3 6 97487 2042.5 47] 232-1[64-4|} 97 8.0|$6.8|[roco] 898.8] 438.4 
$7142.2 |20, 971457 48133. 64.9 l 98] 178.0] 86. 20500179760 $36.8 
9431210 9888.1043. 91133. 9 [65.3 [ 9978.987.2 o[2696.4|1315.2 
49144.0|2I-5}} 991 89.0 IT 150 134.8 65.820070 8187.7 |} 36001209 "Tar 
leo liar [Ol [ar fi here [ar [rk Deer La. BI Dev Tar: 
ti Dev. Lat. [Din Dep. Lat, [Di P. MEG | 
1 64 Degrees. eee 
: Re og Cc3 


* 
. 


196 Difference of Latitude and Departure, 
27 Degrees. 


Lit bat. (ep. ff Uiity bats ep. Lat. Dep. Diſt Let. Dep. Oft. Lat, 
{T [80.9 100.5] 51]45-4 [23 200 g0.0[45-9||151|134+595-6 2962 


201 179, 
2101.8]009]] 52140+3|23-6]| 2 90.9 46.31} 5211354] 69--]| o2 


02.7|01.4|]] 53] 47-2 24.1 03 91.8]46.3]| 5c311309-3 69.5 03] 180.9 
03.008 54 48.124. 5] o4 92,7147-21| 541 137-2]09-9]] og| 181.5 
04.5 [oz. f 55149-0|25-of} o5| 93-6147-7]] 55138-1170 4f} os 


3 
4 
PR — Bo. | oa 
6105.3]02-7]} 56149-91254 106 94+-4148.1]| 156]139-9] 70.5 
7 
8 
9 


206] 183.5 
ob. 2 0;. 2 5750.8 [25.9 [ 07] 9543 48.6] 57139.9 730 o7| 184.3 
07.1103.6]| 5851.2 26. 3 [ 08 96.2490] 581408 [71.708 
o8. of og. 1 59 52.626.869 97-1149-5|| 594.772. og} 186.2 
| 10 |08.9]04.5]| 60153-5127 21} 10 98.049. f 60 142.6 72-6 10 187.1 
[\ 11 09.805. 0 61] 54:4[27-7 || 111] 98.51 50-41| 161] 14351731 211 II 
| | 1211047195-4]| 62|55-2]28.1|| 12] 99.3] 30-51] 621144-3173-5} 12} 158.9 
13 |11.6]05.9 6356.18.60 13 100.7] 51-31] 631452770 23 
14 |12+5 06.411 641 57-01]29.11]} 14 101-6|51.5]| 64 146.1] 74-5 14| 190.7 
15 [2341965] 65187-9129 <1) 2.5] 202:51$2:210 6512470 124e ns 
16 | 14.30%. 3 eo 58.830.006 116] 103-4] 52-7 [| 166] 147-9] 75+4| 216 
17 |15-1107-7]| 67] 59-7 [30-4] 17] 104.21 53-11} 67114831 75.8]] 17 
1$|16.0]03.2}} 6860.6 30.9 [ 18] 105.1] 53-6j| 631]149-7|76.:}] 18 
1916.9 [8.0 69 61.531.319 106.0 540] 69] 150-6] 76.7 


19 
2017.8 [o. 1 70|02-4131.8]] 20] 106 954-5 7o[151-5177-2]} 20 


21187 09.5 71063. 332.2 121] 107.8] 54.9 171| 152-41 77-6 1 
22 19.610. 0 7264232. 7 22 108.2J55˙4 721153+3 78.1 
23 20· 510.40 73065. 3310 23] 109.6]55-8]] 730154178. 5 
| 24|21-4]10-9]] 74 65-9]33.6]] 241110. 556.3 741155-2179 Of} 24 

2422.301140 75|60 8134.11} 25] 111-4} 56-81} 751155-9179-5}} 25 
26123.2|11.8}} 76197-7| 34-5} 126] 11243] 57-21] 176 159.8] 79.9 


2724.101230 771 08-6]35.0f} 27| 113.21 57-71} 771157-7 80.40 27 
2824 912.7 78169-5|35-4\| 28114. 058.1 78[155.6|80.8]] 28 


A —— — 


| 
| 
| 
| 


29 |25.3]13.2]| 79} 72-41 35-9} 291 114-9 58.61] 791159-5|81.3]] 29 
3026.7] 13:5} _30172:3136-31] 301 325:3] 59-01] Bol12ns [22h ae 
31 27.6]14:.1 81]72-2|36.5||131| 116.7] 59.51} 181 151.3 82.2 "231 
3228.14.50 827310372 32|117.6159-9]| 82 162.2 82.60 32 
243 (29-4 [15.0 83 74˙:0037·7 331 118.5]60-4j1 8363.108310 33 
3430.311540 34 74+3]38.1]] 34] 119.4|60.5]| 84} 163.9}83-5]} 34 
45<131-2115-9 86175-7| 38-6 35] 12943 61.34] B85 164.3 84.0 35 
30] 32+-1510.3 86176.6]35.0}|136|121.2|01-7 || 136|165.7]84.4 "236 
| 37133-2116.8 8777.5 Ho- 5 371 122.1|52.2]| 87|166.6]84.9 37 
3833.97.31 $3]78-4]40.0!} 381 123.0162-7\| 881167.5|85.4)} 33 
39 34.717, 7 $91 79-3140-4}] 39] 123.8[53-1]} 8968.408580 39 
40|35-6]18.2]}} 9-52-2142 9% 40] 124.7 636] go[169.3|86.3]| 20 
| 4136.88 off gi] 51-1141-3]| 143] 125.6[64.0|[191|170-21 86.7 "300 
237.4119.1 92 82.041.842 126. 564.5 920171. 187.2 400 
43 138.319. 8 9382.904220 431 127-4 64.9 9372.08. 6 500 
44 39.2120. o * 83.8 42.71 44 128.3 65˙4 941172.9 88. 1 600 
45 |3%:1129-4} eee 4 
40 |41.0]20.9j} 90] 35+5)43-61| 146} 130.13 66.3 |} 196} 74.6 89.0]} 800 : 
474.3 97]39-4144-0} 47[131.0166.7 |} g7j175-5139.4]} goo 4 
43 |42.8]21.38}} 98187 3144-5j} 48}131-9[67.2]| g8|176-4|89.9}} 1000} 4 
4943.7 [22.2 99 $5.2} 44-9) 49 132.867.699 177-3] 90.3200 4 
50 44.22.7122 89.1 45-41 1501 133-7 63. 1200178. 290. 8 zoo I 
B [Ge Let bij Bop lah DN Dep: [Carr iu B Lt. Wo 5 


— 


Oo. e 
. WAY - 


| A 8 | Calf IS 
RY 25 6 
YL ; * 3 


Difference of Latitude and Departure; 


28 Degrees. 


Lat, Dep. Diſt Lat. D p. Dit | Lat. Dep. Diſt Lat. hw "Mt, | Lat, | Dep. 
00.91 00.5 51145+0123.9} 101] 89.2] 47-4 94.4 
91.8 [00.9 52145-9124 4 o2f 90-1147-9 94.8 
02.6101-4}| 53140-3]24.9]] 03] 90 948.4 95.3 
93.501. 9 54147-7125-41] 4 91.81]48.8 95.8 
Eee 96-28 
95.31 02.8 | 56 49.426.306 93-6] 49.8 96.78 
56.203. 3 571 59-31 26.8] o7| 94.5 50.2 97-24 
07. 103.8 58] $1-2127.21} 08 95.4] 5047 97-7] 
07. 9 04.3 59] 5%+1]27.7]] ogf 96.2] 51.2 98.1] 
08.8] 04.7 |} 60153-01232] 10] 97-11 51.6 98.6} 
09.7 05.2 61] 53-y|25.6ij]l 121 | 98.0] 52.1 99.1 
10.60 5.6 62 54.729. 1 12 98.9 52.6 99.5 
11.806. 1 63] 55+6]29.6]] 13] 99-8] 53-1 1co.ch 
12 4106.6 6456. 5 30.0 14|1co.7] 53-5 100. 5 
27. o EAI. 55 221.5 54. 0 100.9 
14.1] 07.5}] 66]55.3]31.0) 116] 102.4] 54-5 1014 
15.0] a8.of| 6759 2031.5 17103.3 54.9 101.9 
15.908. 5 68190.0131.9)] 18 | 104.2] 55.4 102.4 
16.8]08.91] 6969.9 32.4 19105. 1 55-9 102.8 
17.7 [o, 251.832. 20| 106.0 —.3 103. 3 
18. 509.9 7162.73.32 206.8] 50.8 103.8 
19.410. 2 7263.633898] 22 107.7] 57-3 104.2 
20.370. 8 734.534. 30 23] 109.6] 57.7 104.7 
21.2011.3 74105-3134-7]| 24109. 5 58.2 105.2 
22.1011. 75166.2135.2)} 25] 110-4] 58.7 105-6] 
23.0] 12.2 || 76167.1]35.7}| 126] 111.3] 59.2 — 2 
23.8127 77/68. 0136.2 27] 112-1] 59.6 106.6 
24.7 13.1 7868.9 36.6] 28] 113.0]60.1 107.0] 
25.5]13.6!] 79 69.837. 1 291113960. 6 107. 5 
26.14. 1 8070. 637.6 301 114.861. 0 108.0} 
27.4 14.0 81171-5]33.0ff 131] 115.7[61.5 108.5 
28.3]15,0]] 8272.4J38.5 32] 116.6[62.c 108.9 
29.1118. 83173-3139.0)} 330] 117-4 10244 109.4 
30.0 16.0 8474239. 4 34} 118.3] 62.9 . 109.9 
39-9]16.4!f 85175-1139-9f} 351119 [63-4 of 35 110.3 
318 16.9 l 8675˙9 40.4136 120. 163.9 [186 164.2 87.3 236 208.4] 110.8 
32.7 17.4 8776.8 [40.8 3721.04. 3 87165. 187.8 27] 209.3] 111.3 
33-6]17.8]} 88]77-7[41-3]} 388121.9 64.8 88] 166.088.300 38] 210.2 113.7 
34.418.389 78.641.8 [ 391122 765.3 89} 166.9438 7 26] 211.0] 112.2 
35.318 8 9079 42.3 40 [123.6 65.7 90 167.3 $9.2 _4c| 211.9] 112.7 
3b 219.2 91]80.4[42.7j] 141 |124+5| 66.2 j1191] 168.7|59.7 | 30% 264.9] 140.9 
37.1119.7 j| g2{[81.-2[43.2}} 42112544 66.7 921169.5 190. 1 400 353.2] 187.8 
58.020 2 382.143.743 126. 367. 1 93] 170.4 90.6 [ cooff 441.5] 234.7 
38.9 20.7 1} 94] 83-0144-1]} 44127. 267.6 94] 171-3[91.1]] 600 529.8] 221.7; 
39-7 {21-11} 95183-01446} 45 128.968.195 12.2% 620 638.1] 328.6 
40. 621.5 96184.8[45.1 | 146 | 128.9] 68.5 96 173.1] 92.0] 800 706.4] 375.6 
21.50/22. 97{85-7[45.5 || 47 129.869, 97] 174-0] 92-5} 900 794-7] 422.5 
42.4122-5\| 9886.5 46.0 48130. 769.5 98174˙8 93-0 [oo 882.9 469. 5 
43323/0099 87. 446.5 49 131.670. 0 [| 99] 175.7] 93.4 fz 1765.8 939.0 
44.223. 5129088. (42. 1 132 61,4 (126.63. 13000 2648.7 1408. 5 
0:20 Dep, Lat. ¶ Diſt Dep. Tat. ¶ Diſt Pep. [Lar. I Biſtl Pep. | Lat. Biff. Dep. 1 Tar, 
62 Degrees. | 
— — — — — — 


Difference of Latitude and Departure. 


29 Degrees. 

- — 

Dep f Diff Lat. De. Dit Lat, Dep. Dift La's Dep. Diſt.] Lat. Dep, 
of 00.5 5:1 44-6[24+7|| 101 | 88.3[49.01| 151 732 73-2[ 201 175.8 977 Tr 
7101.00 5$2145.5125-2f} oa 89.2[49.4}| 521 132-9|73-71] oz 176.7 97.9 wt Þ 
91.50 53140-4[25-71| 031 90.1149-9}} 53133-5742 [ 03 177.5] G6. 55 
01.91 54 42•2 26.2 04 91.0150. 4 54134774. 7 4 178.4 98.9 15 
04.4} 02.4] 55 48.1 $20.7 os 91.8 52-91} _55 135-6 222; 99-4 1þ 
05,2 82.9 549.027.1106 92.754156 136.475,56 206 180.2 995 Ul 
34 57149-9127-65] 07] 93.61 51.9] 570 137-3[76-1]} o7| 181.0 1004 _ 
03.9 58 50.728.108 94.5 52.40 58 138.276.608 181.5 100.8 f 
04-4} 59] 51-6128.61}] og] 95.352.8/ 59 139-1]77-1h og| 182.8 101.3 * 
04.8 6052. 529.1 10 g6.2 53-3} _©<[ 139-9] 77-6 10 183.7 101.8 T 
56.3 61153-4|29-6}] 111 97.1] 53-8|| 161] 140.878.1211 184.5 102. | ole 
{ 12[10+5} 05.5} 6254230. 1 12 98.00 54.3} 62] 141.71} 78.5)} 12 18 5.40 102.3 =: 
| x3607-4 06.3 J 6355. 1030.5 13] 98.8154. 8 631 142-6] 79.0 13] 186.7 103.3 11. 
! 14 412-2þ06.8}} 64156.0131.0}} 14] 99.7] 55-31|- 64] 143-4 79-5}] 24] 287-2] 103. ws 
| 1513.1 223.655 56.38]37.5 05 100.6 55-8 65 144 3 80.0 2 188.0 104.2 il 
"—et14.01-7.5}} 66|57.7[32.01| 216 101.5] 56.211 1661 145.2130.5)] 216] 188.9] 104; my 
37$12-5 58.2 6758.32. 5 17 102. 3156.7 67] 146.1]81.0 17] 189 8 105.2 550. 
8145.7 08.7 68/59. 533. 18 103.2 57.21] 68] 146.918 1.4] 18 190.7 105.5 0 4 
1016.69. 2 698.533.519 104.1 57.7 69] 147.881.919 191.5] 165 "I; 
see e 
2118.4 10. 71/62.1J34.4U 12110 5.8 58.7 172] 149.6 82.9 221 193-3] 107, 12001 
22119.210.7 7263. o 34.9] 22 706.7159 10 721150. 4183.4 22] 194.2 107.6 . 
2220.1 112 73 63.8 35-41] 2307.6 59 6 731151.3J83.9 23} 195.0] 108.1 a= 
24 21.5 17.6 741 04-7} 35-9}} 24/108. 560. 1 74 152.2J84.4 24 195.9 108.6 111 
25þ22-9112-10 751956 65.6 36-4} _251109-3] 60-61} 75} 153-10 84.8 i 299 3} 109.1 400 
i 2247 12.6 76 66.5 +5]36.8]]126[110.2|61.1]}176] 153-9] 85-3] 226 197+7] 1cg,b 2002 
223.673.1177 67. 3137-3 27[111.1]6r.6}| 7754.88 5.8] 27] 198.5 115.0 = 
28 24.5 13.6 78 68.2 37.8 28 111.962.111 7811557 86.3 28 199-4] 110.5 272 
20025414. 7969. 138.3 29 112.8 62.5 [ 7916.6 86.8 [ 29 200.3] 111. 4. 
ee ee eee eee. 
Ex) 27.775, $1[70.8|30.5||131|114.6] 63.5 [181] 158.3] 87.7 231] 202.00 Tio 162 
32 28.0 155 82 71.7 39 8 32 115.4 64.0 82 I 59.2 38.2 J2] 202.9 112.5 3 * 
3428.9 16.0 8372.60 40.2 33 116.364. 5 83160. 1088.70 33] 203.8 113.0 A 
_ 29. 7116.5 8473-540, 34[117;2[65.0f} 34] 160.9]89 20 34 204.7] 113.4 45 
ee eee eee 35] 205.5] 113. me 
"3c 31 — 8675• 241.7136 118.90 5/9 186 162.790. 2 236 206.4 114-4 1503 
3; [32-4 [1749 8776. 142.2] 371119.8]66.4 |} $7] 163.6190. 7 37] 207-3] 114.9 3003 
act (33-2 3.4 8877. [42.7] 3820.7 66.9] 88 164.4[g1.1 33] 208.2 115,4 Af 
334.718. 8977.43.10 3921.6 67.4 89] 165.391. 39] 209.0] 1159 183 
4. }35-c}19.4 |} gc 78.7 43-6] 49112244 67.9 _90| 166.2 92-11 40] 2099 216.4 3903 
27 133˙69.9 979.6044. 10141(123.3 58.449792 30o] 262.4] 145.4 4013: 
4236.20. 4 92 80. 544.6] 42124. 268.8 92 167.993. 10 400 349-9] 193.9 75 
43 37.620. 93J81.3J45. 1 43 125.169.393 168.8 93.6 5co| 437.3] 2424 423 
2438.52 1.3 9482.2 45,6 44 128.069 8 94 169.794. 600 524.8] 290.9 917 
Lee eee 
1 46 20.2 22.3 9684.0 46.5 146127. [70.8 196171˙4 95.0 800 699-7 ET 4513c 
| 47 411 22.8 9784.8 [47.0 47 128.671.397 (272.3955 900 787.2 if : 4603 
145042. 23. 3 931$5-7147-5}} 4 129.471.898 173.296. 1000 874. 2.0 
149 42.923. 8 9986.648.00] 49 130.3172. 2 99/174. 0 96. 5 || 2000 rower 9 25 48040 
50 43-71 24-2 jj 109}87.5] 48.5 301030 72711222 1174-91970 ff 3900 2023.5] 1454-4 4942 
(it Dep. Lit, HDiſt Dep. Lat, I Dit Dep [Car D.ſt Dep. Lat. Diſt.] Uep. | Lat. 50[43 
61 Degrees. | — 
— 


ST ow KK — - DH —- 


I © 5 © o& 


B 222 


Difference of Latitude and Departure, 


30 Degrees. | 
Dep. I Diſt] Lat. [Dep. , Diſt Lat. Dep. Diſt] Lat. Diſt, | Lat, {| Dep. } 
00. 5 $1] 44.225˙2 010 87.5] 50-5151] 130.8 174-1] 100.5 
01.0 52145.0126.0}} o2| 88.351. 0 52|131.6 174 9] 101. 
01.5 53145-9120-5}] 03] 89.257.5 5311325 175.8 101.5 
02.0 5446.8 27. 0 o4 90. 152.00 54113344 176.7] 102.0 
02-5 55/47:527:5h1_25]_99:9 [52:51] 55/2342 Sr 
03-of} 56048. 528.0 [To 91.853 off 156|135.1 178.4] 105.9 
03.5 57149-4{28-51] 07] 92.73.50 571136-0 I 79.3] 103.5F 
04.0] 58 50. 229,0] 8] 93.554. 581 136.8 180.11 104.0 
04.5 5951129. 09] 94-4| $4+5}} 591 137-7 191.0] 104.8 
05,0|| bo[52.0130-off 10] 95.3] 55-0f} bo 138.6 _ 181.9] 105 f 
05. 5 611 52.830.511 96.1|55-5||161] 139-4 182.74 105.8 
06.0]] 6253.7 [31.0] 12] 97. 05.0 62140. 3 183.6 106.04 
06.5 6354.63.50 13] 97.956.580 630747.2 184.5 106. 5 
07. o 6455 q 4132- ON 14] 98.757. 64142. 0 135.2] 107.0 
07-50} 65]50-3[32-5}}_15] 99-6|57-51| 651142-9 136.2 157-5! 
o8.0]] 66|57.2[33-0][116|100.5| 5$5-0f] 166| 143.8 187.1] 108. c. 
os 5 6758.33.51 7101.358.50% 67144.6 187.9] 108.8 
og. o 6858.9 34-01] 14102. 2590 6311455 183.8] 189.0 
09.5 69] 59-3] 34+5}| 19] 103-1159+5}} 691464 189.7 109.45 
10. 0 70 60.6 35-2} 29] 103.9192-00 29/1422 150.55 11.8 
10.5 71161.5{35-51j1211 104.8] 00.5171] 148.1 791•4 11% 
11.0 7262.4 36.0 22105. 761.00 72149. 0 1902 31 111.0 
11.5 73/53·236.5 23] 706. 557.50 731 149.8 193. 111.6 
12.0 74|64.1] 37-91] 24] 107-4 62.00] 7411507 19401 112 of 
12.5} 75165-0137-5}} 25 108.362.075 151.6 194-0] 172. 
13-0 75 65.8 38. 126 109. 63.0 176 I 52.4 195-74 113.04 
13.5 77196.7|38-5}| 271110.0463-5}} 771 153-3 196.6] 113.5 
14.0 7867.5 39-0 2820.8 64.0 78] 154.1 197.4] 1140 
14.5 7916844 |39-5]] 29] 111.71 94-5} 79155. 198.3] 144. 
15. 8569.34. 30]112.6165.0]} 81889 199.2] 115.0 
155181079 1149-5[[131]113.4105-511181} 156-7 200.0 11551 
16.0 8271.04.00 32114.3 16. 8207 57.6 200 91 116.0 
16.5 83071. 9[41. 50 337115.2 66.50 83158. 201.54 116.5} 
17.0 84|72.7|42-9]} 34|116.0|57.c|i 84{ 159.3 202.6 117.5 
17.5] $5173 6142 51f_35 116.9825 85 160.2 203.5] 117.5 
18.0 86 74.5143-211136]117.8 08.0 186{| 161.1 204.4 118.0 
18.5 87[75-3|+3-5!] 2718.68.50 87] 161.9 205.2 118.5 
19.0 8876.2 44.0 3819.5 69. 88] 162.8 206.1] 129.0 
19.50 8977044, 3912,49. 89/163.7 209.00 119.5 
20.0} g0[77-9[+5 [C22 164-5 207.5] 120.0 
20. 5 91178.8[45-5][141]122.1]79-5]{191] 165.4 259 8 500k 
21.0 92 | 79-7 [40% 42|123.0171-0j| g2| 196.3 346.4 2000 
21.5 9380 5140-5] 43] 123-8[71-5/| 934 167-1 433-0] 250v] 
22.0 94131.4147+0 44124. 72.00 94] 198.0 519.6] 300. 0 
22.50.25 82.3225 45 125.622 [5 168.9 606.2] 3 ͥ 
23.0 9683.148.0 140126 473.0196169. 652.8 40.0 
23.5 9784.48.50 47/122.3 73.50 975 179-6 779.4] 450. 
24-0] 9818491490 45 128.274. 98171. $66.0] Foo. 
24-51} 99857495 491 129-0] 74-5]} 99/1723 1 1732-0] rcoo.of 
25-0]|100] 86.6 50-0 [150] 129-9 75:0][200[ 1732 e 
Let B Bex Lat, 5ſt Jep. Lat I Diſt] Dep | Dep. I Lat, | 
60 Degrees. | 


— 


200 Deference of Latitude and Departure. 
| 31 Deprees. 
Diſt, Lat, Dep. Dail Lat, [Ocp. KDiit| Lat. ven. Dit Lat. Deo. Diſt. 
1 oo. 9 oo. 5 5143-7 [26.3 101 $6.6] 52.0 55 77.81 201 
| 201.7 O01. 0 52144-6[26.8j] o2| 837-4] 52.5 52/730. 3 78.3 oz 
302.601. 5 5$3145+4127-3}] 03] 88.3053 531131021] 78.8 oz 
403.402. 1 5440.3 27.8 oz] 89.1] 53-61] 5432.00 79.3 04. 
x2: 3192-61 eee 52 9] 54:1 55113233] 79.5Y_og 
| 6105.1103-1}} 56148.0]23.5 106 90.3] 54 01} 156[133-7] 80.3 206 
Je 0J03.6j} 57148.5]29.4fj} o7] 91.7] 55-1] 5734.5 80.9 o7 
806.9 04.11} 53149-7] 29.9]; 08 92 6] 55-61] 5815354} $1.4} 08 : ; 
907.7 [04.60 59] 59-6] 30.4 If ogf 93-4] 56. 1 59130. 3] 81.9] ogf 279.1] 107.6 
EEE 
$ xx109.4|05.7]] 61] 52. 3031.411195. 57.2 161[135.0] 82.9 211 180.8] 108. 
1210.3 06.2 6253131. 12 960 57-7 62|138.8] 83.40 12] 1817.7] 103 
1136106. 7 63154 32.4 13] 96.8] 58-2 [ 631139-7] 83.9% 13] 182.5] 109.5 
1412. Oo. JI 64] 54-3} 33-0 14] 97.758.7 64/140. 5 84.5 14] 183 40 110.2 
EF e 
1013. 708.2 6056. 34.016 99.4597 [ 166|142.3] 85.5 216] 18% 111.2 
17|114-6|08.8|] 6757.40 34.5 15] 109.3] 90-30] 6743-1] 86.0 x7] 186 0| 111. 
13|15-4]09.3|} 6858.31 35.0] 18] 101-1 60.8 [[ 68]144-0] $6.5} 18] 186.8 112.3 
1 1916. 309.8] 6959•135˙•5 l 194 192.0 61.3 69144 8] $7.0 16] 187.7] 112. 
| 20117 110.3 70 90.0 36.1 20] 102.3 64.8 70[145-7] 87.6] 29] 188.5] 113. 
2118.0 10.4\f 7106.8 36.off 121} 103-7] ©2-3)} 1715 146-5] 88 1 221} 10944] 1134 
2218.9 11.3 72161.7]} 37.1 22| 104.662. 521147.4) 88.6 22| 190.3] 114.; 
23119-7| 11.8} 73]62-6| 37.6 23] 195-4193+3]} 730 148.3 89.1] 23] 191.1] 114.8 
| 24|20-6]12.4j} 7463.4 38.1 24} 199+3 53-9 74{ 249.1] $9.6; 24 192-0] 115.4 
25 21.412. 0 75 64.3 38.6 20 . 04.4 751} 159-0 90.1 2 5 192.8 I1%09 
26122.3\ 13.4766 5. 1 39. 1 [126108 004.976 150.8] 90.6 226 193-7] 116.4 
2723 113.9 7766.0 39.7 271 108.855. 40 7157 91.2] 27 194-5] 116.9 
2824.0 14.4 }} 7866.8 40 2 28} 109.71©5-9}} 780 152.51 91.7 28] 195-4] 11744 
29 24.9149 967.740. 7 29 110-01 99-4)} 760 153-4] 92.20 29 19643] 117.5 
3025. 715.5 8068. 541.2 2011.47. 8054.3] 927 30 197-1] 115.5 
3126.6 16.0 8169.4 41.7] 131 ls 181155. 93.21] 231] 197+9] 119.5 
3227.40 16. 5 8270.30 42.2 32| 113-1] 93-0] 82] 156.0] 93.7 432] 198.8 11.5 
33428-3 17.0 830711042. 7 3314.08. 5 831 156.8] 94.20 331 299-7] 1200 
34129+1} 17.5 || 84J72.0[43˙1 U 344 114-3 59.0 84] 157.7 94-5 34] 200. 5 120.5 
_35139.© 18.0\} 85 [72-8438 4; 115-2199-5 85|\158.5} 95.3] 35 2014 121.0 
3530.9 13.51} 8617 3-7]44+3 11364 116.6]79-vjj186| 159.4} 95.8f} 236 202-3] 1215 
3 [31.7] 19.1} 87174-6] 44.8 [ 3-1 117.4{72-0f} 87/160. 3 96.3] 37] 203-1] 1224 
38132.6] 9.6} $8]75-4\45-31] 38]128.3]74-3j} 880167. 96.8] 38} 204-0] 122-6 
3933.40 20.1 8976. 3045˙8 39 119.117 1-0 8g|162.0] 97.30 39 294-5] 123-1 
4934.30 20,6 90[77-1146.2 40 12. 072- 1 0152.8 97.9% go 205-7 123-6 
41133.1|21.1]] 91]78.0[49.9 141] 120.872. [1910163.7 98.4 300 257-2] 1545 
4236.00 21.6 9278. 847.4 42} 121-7173-1j} 9264.5 98.9 goof 342-9 206.0 
4326.9 22.1 93179-7147+-91] 43} 122-6 73-5 93 165-4 99.4 co] 428.6] 257-5 
44137-7122.6}] 94j80.6[48.4 |} 44! 123-4} 74+-2j| 4166.3 g9.9}} boo] 514-3] 399-6 
1-45[38 623.2 05874048. 4:| 124.31 74:7} a5[167.1|100.4j| 7oo| 690.0 360.5 
4639.4 23.7 8032. 349.4½146 r25-1]75-2 608.0 100.9 800 085-7] 412 
47140. 3124.2 97183. 1 50.0 471200757 97168.8 101.5 goo] 771-4 403.8 
4841. 124.7 9884. 0 50.5 45 125 876.2 8169.7 102. 010 S572] 515 
49 042.0025. 2 9984.85 % 40% 2.7, 994170 5] 102.5|[2000} 17 144119390 
5042.0 [28.8 HI $5.7 7? | $1-<jJ150 1285 223 zo 2571.6 1545 
Dad Geb. La. onde] Lat 107707” L. d Oc. Lu- [Bit.] Do: [hat 


59 Degrees. 


| 


| 


ww + ww 2 
©0 © 040 ©000 oo 016 


— 
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SS do» * JJ wo —4 


CO 3 


© "> © 4» \S þÞ IS + 02> o& 


EE „ - - * 1 - „ 
On ON = iy S wn © ww 


Difference of Latitude and Departure. 


32 Deprees. 

. 1 Dep. jDiſt] Lat, => Diſt | Lat. Dep. Diſt Lats Dep. Diſt Lat. Dep. 
00. 5 51143 27.01 85.653.551 128.0 80.0f] 2010 170.4] 106 5 
01.1 521 44-1127.61} oz 86. 554.10 52 [128.9 80.6} o2 171.3] 107.1 
01.5 531 44-9]28.11} oz] 87.3[54-6f} 531129-7] Serj} oz] 172.1] 105. 
02.1 541 45-8128.61| oz] 88.2055. 1 541130.6] 81.6j| oz} 173.0] 108.1 
02.71] 551 40.6129-2]} oc] 89-0 55:7}} _55[2131:4| 82.2] os] 173.8] 108. | 
03-21] 56147-5]29-7 || 106] 89.95%. 2 156 232.30 $2.71] 206] 174.7] ic. 
c3-711 571 48-3} 39.2 07] 99-7 56.7 571133-1] 83-2] 67] 175.c 109.7 
04.2 $31 49-21 30.7 [08 91.657. 58[134 0] 83.9]] os] 176.4] 210. 
04-811 59] 52-0[ 31-31} 09 92.4[57+8]]} 591134 8 84-31] ce 177.2] 110.8 
95-3162] 52:91 31:31} 20] _93:3]58-510 601135-7 | 34.51 0] 278.1] x01. pf 
05.8]] 61] 51.7 32.3111 941 58.8161 136. 5 $5.3 271 178.9 111. | 
06.4 62 52.6 32.9 12} 95.0594 62 137.4 85.9 12 179.8 112. | 
06.9] 63] 53-4] 33-4|| 13] 95-3] 59-5] 63 738.2 86 4 13] 180.6 112.4 
07-41] 641 54+3[ 33-9 14 96.76.40 6439.1 86.9% 14] 131.5] 113.4 
220 ſj_95] 55:21 3451} 25} _97:5[52:2]]_650139-9þ 37:5} _x5] 1323] n14.of 
o8. 5 65] 56.0] 35.0|| 116] 98.46 1.5166 40.8 88.00 216 183-2 114.5] 
09.0 67] 56-8] 35-51] 17] 99.2162.0f] 67} 141.6] 88.5])] 17] 184.0 115. 
09-51] 68] 57-7] 39-0] 18100. 162. 5 6842.5 89.of| 18 184.9 115-5 
10. J 69| 53.51 39.61} 19] 100. 963.1 69 143.3] 89.6 191 185.7] 116.7“ 
10.6 70 59-41 37-1]] 20] 101.8 63.6 701144. 2 90. [[ 20} 186.6] 116. | 
11.1 711 60-21 37-61] 121] 102.664. 1 1710145· 0 90.60 221] 187.4 117.1 
11.7 72| 61.1] 38.21} 22103. 564.7 72[145.9] 91.2] 22 1388.3] 117.9 
12.2 73] 01-9] 38-71} 231104. 365.2] 731146 7| 91.7 23] 189.1] 118.2 
12.7 74] 02-8] 39-21] 24105. 265.7 741147.6] 92.2 24] 195.0 118.7 
ee eee e 119-3 
13.81] 76[64.4140-3|| 126] 106.8[66.28]| r76|149.2| 93-31] 226 191.6 119.8 
14.31} 77] 95-3] 49+5[] 27010771673] 7775.1 93-81] 27] 192.5 120.5 
14.8 78 66.11 41.31] 28] 108.5167.3]} 7850.9 94.31] 2g 193-3] 120 8 
5. 4 791 $7-2]4i-9f] 2909.46.40 7951.8 94-9] 29 194.2 121.4 
15.9 80 67.8 42-41} 30 110.2 68.9 80 152.6 2. 30 195.0 121-9] 
16.41} $1168.71 42-9]|131}111.1169-4[1811153-5] 95-90] 23+] 295-9] 122.4 
17.0 82 69 5 4J3+5 32|111,9]70-Of} 82 I 54-3 96.5 32 196.7 123.60 
17.5 837.444. 3312.8 [70.5 83] 155-2} 97.ci} 331 197.6 123.5 
18.0 8471.2 445 34|2113.6[71-off 84156. 97.50 34] 158.4 124.0 
13.6 85|72-1145:10} 3501145 71.6 85 156.9] 98.1 35] 29693] 124.6 
I19.1]] 86] 72-9] 45-0[|[136{115.3]72+11] 156 157.7 98.6 236 200 I] 125 rf 
19.61] 87173-8] 40-11] 37] 116.2[72+-6]} 87] 158.6] 99. [[ 47] 201.6 125 6 
20.1 88] 74-6] 46.6} 38\| 217.0[73-1]] 88[ 159.4] 99. 38] 201.8] 126 14 
20.71] 8975 5047.2] 39{117-9173-7]} 8960.3 [co. 2 539 202.7 126.7 
eee eee ee 
21.7 [9177.20 48.2141 119.6] 74-7 1910162. 101. [ 30% 254.4] 15,0 
22.3 9278.0 48.31] 42|120.417 5.3 92|162.8|101 8] 400 339.2] 212.0 
22.8 [9378.9 49,3] 43] 121-3] 75-3] 93] 163.7 102.30] goof 424.0 365.0 
23-31] 941 79-7 | 49-S|| 44|122+1170.3]} 94164. 5102 81] eco 508.8 317.9 
eee ee 103.40 700] 823. 370.9] 
24.4 9681.4 59-9]| 146| 12448] 77.4 196 166.2 103.9] Soo} 678.4 423.9 
24-9]| 9282.3 51-4 || 47] 124-7[ 77-9 97167104. 40 goo] 263 2 4769 
25.4 [9883.1 51-91] 48125. 578.4 98] 167.9] 104.5||1000| 848.c 929.9 
26.0 9984.0 52.5 49 126.479. 0 99 168.8] ro5.5}[200<|1696.0 1059.8 
26. 5084.8 53.0150 127.2179-5}| 200 169.6 109.0 300012 544-©| 1589.7] 

| Lat. {| Dit | Dep. Lat. | Dit] Dep. | Lat. Bi Dep | Lat. = Dep. | Lat. } 

58 Degrees. 8 2 


/ 
* 


4 


— — — 
— 


. 5 
202 Difference of Latitude and Departure. 

33 Deprees. 3 
iſ .at — Diſt Lat. Uep. Diſt Lat. Dep. y Diſt , Lat. Dep. j{ ViR., Lat, Dey. 
s.. 5 F742. 78 [11 B47] 55 0|| 151 | 126.6] 72.2 207 168.6 1090 
201.74 52143-6|28.3|} o 89˙555•5 5212.5 82.8 [oa] 169.4 110 

3002.51. 6 53144-4123-9}} o; 86.46.10 53 128.3 83˙3 oz 170.2] 1104 
403.4 2 54145-3129-4j] o 8756.6 54 129-2] 83.9 [ og] 171.2] 1m, 
54 2.7 55 46.1 30-0 2 88. I 37-2 $$ 230-0 4.4 0 5 171.9 111.6 
7105.9 03.8 5; 47-8 31.00 o7| 89-71 53-3]] 57 131.7 25-5 oy 173.6 i 
809.7 [04.4 58 43.6131 © 08 90.6 55.5 58132.5 8 © o$] 174.4 113 
„7. 54-9 59149-51321} og, 914/59 .ë40 59133˙3J $6.9 og] 775-3] 1134 
108 4195-41} 60] 50-31 32-7 _10] 92-2159-9]] 60 134-2 87.11] 10] 170 1 114.4 
nn 09.2|c6.0]| 61]51.2]33»2|[11x| 93-1 [50.51] 16111350 
12110. 1106. „ 62|52-0133-S]] 12 93-9 161.01] 62|135-9 
13119-91971} 63 52.8134+3]] x3] 94.8 [67.5 63136. 
1401170 6 64537349 14| 95-6 [02-1]} 64137˙5 
18112.6008.2 [ 65|54-5[35-4}] 15 9.462. 65138.4 
16 13.408.766 55.3035·9 116 97-3 [63.2166 139-2 
17 14.3009. 3 6756.2 036.5 17] 98.1 [63.7 || 67] 140-0 
13115.1]09.8 |} 68|57-0137-0}} 18 99-0 [64-3 || 68] 140+9 
19]15-9] 10.3 6957937. 19 99-8 [64-S]] 69] 141-7 
2016.8 10.9] 7058.7 38. 1 20 lo. 6 6 5. 4 70 142.6 
21j17.6|11.4)} 71] 59-5135 7|[r21| 191-5 [65:9]| 171] 743-4 
| 22118.4|12.0]] 72[60.4[39-2]] 22| 102 3 [5644 ]] 721442 
23119-3]12+5]} 73 61.2[39.3]] 23103. 160 73] 145-1 
24 [29-1] 13-1} 74 62. 140-3 24104. [57-5]] 74] 143-9 
2521.0 13-6]| 75162-91408] 251104 8 68.1 751 146.3 
26 21.8 14.2 76]603.7141.4 126 105.7 68.6 176 147.6 
27122.6]14+7]| 77]64-6141.6}} 271 106.5 [69.2 7] 148.4 
28[23-5| 15, [[ 78]65-4[42-5]] 28]107.3 [69-7] 78] 149-3 
20 124+3] 15-81} 7966.23, 2918.2 0.3 79] 150-1 
240 [25-2] 16.3 20167-1143.6]] 3e 109.0 [70.5] 8o[ 150.9 
31 26.0 16.9 81 97.9144. 1311099 71.311381 151.8 
3226.8 17.4 || 8268. 844.7 320110. 71.9 $2| 152.6 
33127718. 8369.604521 331111-5[72-4|| 830153. 
34 [28.5] 18.5 84170-4145+7}| 34111244 [73-0|| 841 154-3 
3312 4019.10 8571-31493} 35|113-2 [73-5] 85] 15541 
| 3530, 19.6 || 86/72. [46.8]}136[114.0 [74-1 136]156.0 
37 [3 4-0] 20.2 || 57173.c 147-4]} 3712 14-9 174-6 87J156.8 
3303 ¼9 20.7 |] 88/73.847•91 38]115.7 [7592 || 88157.7 
39132-7] 21.2 |} 8974.6 48.5 39} 116.675. 7 89|158.5 
4081. 21.8 99[75-5149-9f} 40[117-4 76.2 90 159-3 
4134-4] 22-3 911 76.3[49-6[[141þ118.2 76.89 | 160.2 
4.213 4-2] 22.9 || 9277. 250. 10 42|119.1177-3]} 92161. 0 
4336-1123 % 93[78-oſs0-6]} 431119 9177-911 93 161.8 
44136 5} 24.0 | 041 78.8f51.2]] 441120.8[78.4 || 94 þ162.7 
| 45137-*] 24-5 95þ79 7151-7 _45[121-6179.0|| 95 163.5 
4638.25. 980.552. 3246 122.4 [79+5 (| 196 | 164.4 
47139-4 256 97 31.3 62•8 471123. 3 80. 1 97 165.2 
42149 326.7 9582.2 53-41 48] r24.1f$0.6]} g8]156.0 
404 1026.7 9283 0153 „ 4925.87.10 9966 g 
04127-2100 83. $3-9}54- 8125.3 81.2 200 167.7 
Dill Op 1er NA. B Dep. vat. Tar. Diſt Dep. 
57 Degrees. 


© 


—— — 4 4 


-— : 


> 


» 


2132 — —2 ay wh a wa 


Difference of Latitude and Departure. 


203 


54 bat. Deve Miſt 


34 Degrees. 


Lat. 
83.7 
84-0 


$54 
$6.2 
$7 o 
87.9 
88.7 
89.5 


91.2 
92.0 
92.8 
93+7 
94˙5 


9 5+3 


97.8 
98.7 
2 
100.3 
101.1 
102.9 
102.8 


103.6 


1-4+5 
10543 
106.1 
106.9 
197.8 


108.6 


109.4 
119.3 


111.1 


111.9 


112.7 
113.6 
114.4 
115-2 
116.1 
116.9 
IT7+7 
118.5 
119.4 
120.2 


— 


121.0 
121.9 
81122.7 
123.5 
124.4 


Dep. 


Lat, 

125.2 
126.0 
126 8 
127.7 
128.5 
NI 129·3 
130. 2 
131. 0 
131.8 
132.6 


133-5 
134˙3 
135•1 
136.0 

136.8 
106 137.6 
138.4 
139-3 
140.1 
140.9 
141.8 
142.6 
14 3+4 


90.4 


90.2 9. . 


97-0, 


14 3e1 
145-9 


89] 150-7 
99] 157-5 


144.2 


140.7 
147-0 


148.4 


14.9-2 
I 50.0 


150.9 


151.7 


152. 5 
21181 


1542 


155 0 


155˙9 


Dep. Lat. 
84.4 166.6 
85.0 167.5 
8 5.6 168.3 
86.1 169 1 
80.7 169.9 
87-2 170.8 
87.8 171.6 
$2.4 172.4 
88.9 173.3 

2:5 174-1 
9.8 174+9 
go-6 175-7 
QI.1 176.6 
91.7 177-4 

2. 178.2 
92.8 179-1 
93-4 179.9 
93-9 180.7 
94-5| 18 1.0 
95•1 182.4 
95.6 183.2 
96.2 134-0 
99.7 184-9 
97.3 185.7 
97.9 51 136.5 
98.4 187.4 
99.9 188.2 

9. 139.0 

—.— 189.8 
100.7 190 7 
101.2 191-5 
101.8 192.3 
102. 1932 
102.9 194-0 
103. 5 194 8 
1040 195-0 
104-6 196.5 
IO Sel 197-3 
10 5.7 198.1 
106.2 199 0 
106.8 248.7 
107.4 331-6 
107.9 414.5 
108.5 497 4 
109.0 580.3 
109.6 663.2 
1102 72 6.1 
110.7 $29.0 
114.3||2020]1658.0 
111-8\|300c12457,0 
Lat. | Diſt D D 


Dep. |}. 


113.5 
1141 
114.6 


115 2 
I15.8 
116.3 
116.9 
117.4 
118.0 
118.6 
119.1 
119.7 
120.2 
120.8 
121.3 
127.9 
122.5 

123.0 
123.6 
124.1 
124.7 
125.3 
125.8 
126.4 


123.1 


131 4 


— — 


224.7 


391.4 
— 


1118.4 
1677.6 


112.4 
113.0 


126.9 
127 5 


128 6 


1292 
129.7 
130.3 
130.9 


132. o 
132.5 
1331 
133-6 
134.2 
167. 


279-6 
338˙5 


447 4 
503.3 
5592 


La- * 


56 Degrees. 


Lid had hd 


TC —_— c 3 | 


— 


ltd 9 * 


. ** 


—— 3 2 


— 


Difference of Latitude and Departure. 
| | | 35 Degrees. © 


| Dit jL.ot. = Le- gDiſtt Lat, ef. pDiſt (Lat. | Dep. Pit. 
IG 00.8 loo. 51 41.51 29-2 TH 82.7 57.910153 ry 36.6 "201 
2001.60. 0 521 42.6]29-3]} oz} 83.5 58.5 521124-5| 87.2 o2 
312.501. 7 53143-4 30. 4 [ 03 84.4\ 59.1] 53112531 87.7 03 
los. 3 oa. 3 5444.23 1. [o 85.259. 54[126-1] 88 31 04 
ICT eee 
j G04 9103441] 5645.9 32 1106 86.8 60.8 156 127.80 89.5 200 
5g. 7A. H 57] 46.7] 32-71} 07] $7.6]61.4]| 571 125.6] 90.0 07 
800.6 fog. 6 :814-7-5]33+3Þ 08 $8.5|61-9]] 5] 129-4] 90.6 os 
9107.4195-2j4 59143.3] 33**}} og} 89.362.5 5911302] 91.2 og 
| 2 o8.2105-7}} 60149-11 34-4 _ro] go 1163.7 0131.8 91.8] 10 
77159.0106.3]| 61] 35 rril 9.9 63.7 16111315) 92.3 211 
120g. 8 [06.9 62150. 835 12 91.764.2 62113247] 92-9} 12 
1310.60 . 50 6381.039113 g2-5154.8]] 631133-5] 935 13 
1147.58 off 6452.4 36,7 14] 9340654 6473430 94.1] 14 
1503 8.80 C es 94:6] 15 
1013.3 09-2 | 64.154 13791716 95-0166.5]|166|130.0] 95˙2 216 
174 13-9$]09+7 || 671 54-9 35-4]] x5] 95 8167.1} 671136.8] 958 17 
1814.7 10.3 6855.739918 96.667.771 68 137.6 96.3 18 
{ 19|13-0]1c-9|}} 6956.53 019 97.68.20 69 138.4 96.9 19 
| 2% Hees. 8 701139-2] 97.5. 25 
| 71117. 12.0 71158-1149: / 1 99-1]6944]] 1711140.c 98.10 221 
22 18.2.6 72159.C 41+3 22] 99+-9179.G6 72 1140-9 98.6 22 
| 231 15-8 43.2 73159-8879 2310.70. 5 73 [1417] 992] 23 
2419.13.80 74/60. 642-4] 24J101.671. 1 74/142. 5 99.8] 24 
SFP ee 
"26 21.3 14.9 76 62.2143 6 126 103-2 72.3 176 144 1100.9 226 
| 27122.1]15-51} 77 63.1442 271104. 072.8 77[145-C|101.5)} 27 
2822.9 10.1 7863.944728 104.8 73.41 78]145-8[102.1}]} 28 
29123 $116.61] 79[64.7] 45-3 29 105.74. 74 146.6 102.7 29 
„IAE Eee 
31025-4700 381160.314%5} 131] 1907-31751] 151] 14342] 103.80 231 
32120-21154} 8267247 32 108.175.7 $2[149-1] 104.40 32 
33 27.0485 9 83 68.0 47-o1] 331 105-9176.31| 83]149-g] 105.0f} 33 
34127-8|19-5}; $4168.31 45-2j} 220109.7176.3]] 84/159.7 105.5 34 
35|8-7129-:}_85469.6|45-7 I} 3;5[110-6[77.4]} 85] 151-50 106.10 35 
30129-5]29-V 80170.4|49+3 136]11144{78 Cf 186]15243 106.7 "236 
9, $439-3]21-2)| $7571.31 49-91} 290112-2178.6]} 8-[153.32] 107.2] 37 
381031421 81 8872. 150. 5 381113-0179.if 851154-c] 107.8] 3 
391 31.9122 Y 8972.95 39113-8797 8954.8 108.4] 29 
| 40{32-8122-9] 2873.7 51.6 40 114-6 80.3 9018,60 109. gc 
41033. 3.5 91174-5[ 52-2111} 115-5{80.9/[191[156.4] 109. 5 300 
| 421344241 275.3152. 42] 110.3181.4\]} g2[157.2] 110.1j} 40 
43433-2124+7 1} 93079-2[53-30} 430 297-1 82.0 930158. 1110.7 50 
44 36.0 252 94/77. 053.9 4417.9 82.5 941 52.9 1 600 
[45 [3n2 1252 LOST eee 
461 37-7 129.4} $6[78.6]55-1j]r46| 119.6[83.7|| r96| 160.5] 112.4{] Soc 
4738 5127.04 97!79.41 55-61] 47120. 484.3 9716.3 113. of goo 
48| 39-3127-5}} 9880.35. 2 48\121.2[84.9 || 98 162. 2113.6 100 
4940. 128.1099811 56.8 49 122.08 f. 5 99 163.0114. 10 [2000 
9814. 28.2010 —1.9 57-4 50 122.386.0200 163.8 114. [300 
Dm Beg. Lat. 57655. (Lac, BBD Tat. Din Dep. Lat. Biſt. 


8 1 


5 TRIES | Degrees. 


Difference of Latitude and Departure. 
3 6 Deg Yes. 


ep. Dit Lac, p- 55 Lat. 


2 


Dep., Diſt Lat. Dep. if Diſt. | 


1011 $1.7] 59-4j}2511 122.2} 88.8 201 

OTe2||- $2142.11 30.61] o2| 82.5 .o 52|123.0] 89.3]} oz 

or 8\| 53]142-9|31-2j] oz $3-3|60.5]} 53] 123-8] $9.9]] 03 

02.4]! 54143-73171] 04] 84-1] 52.1} 544 724.6] 90.5 og 

oz-off 55144-5|32:31}}_05 84.9]61-71| 551125-4| 91-1] o5 

03-5} 5645.3 32-9] rob] 85.8[02.3j}156[126 2| 91.7 206 

04. 1 574,133.50 86.662 9 57127. 92.31 7 

04.7 5804.34.70 03] 87.4 53-51) 58127 80 92.9 o8 

05431] 59147 7 34 7 | 091 88.2 04-2] 59 128.6] 93.5 09 
52e. 89. ZU 

56.5 149 135901 9 8 2167139. 946211 

07. 1 625% 36 4/12 90.6%, % 2131.1] 982 12 

07 6 63 51 9 37.0 131 91.4 609.4 63 131.9 95.8 13 

O8 21 64 51.8 37.6 144 92.2 67.0! 64 132.7 96.4 14 

08 3 65 32.0 38.2]} 15] 93.0167-01| 65 133-5] 97 Off 15 
9360/343876 93.3] 68.z|| 16611343] 97-6} 216 

10.0 67] 54-2 139-4j}} 17] 947 68.8] 6711351] 98-2} 17 

10.6} 68 $5+0 140-0 144 95.5 09-4; 68 135-9 98.7 18 

11.2 6955.8 [49¼%6 199 69.9 66136. 99.3 19 

11.80 70 55-6141-1]} 25] 2212-5 [32.50 222 [. 20 

12.3 71057¼4] 4,7121 97.9} 71107710138. 3100.5 221 

12.9 7258.214230] 22] 98.7717 721139-1]TO1.1hþ 22 

3.51 73159-1429 23] 99-5] 72-3] 7311/01. 23 

14.1 74159.9143-51H 241100. 372-9 74 140. 8102.3 2 

4.7 75h A250 23. 5 751143 U 25 

15.3} 76161. 5144-7jf126) 101.9] 74-1} 176] 14244 103.5 226 

15.9 77ʃ62.3/45 3 2702.77 7 771143-2]104-ci} 27 

16.5 78163-1145-5}} 28103 6|75-2j| 78|144-0[104.6}}, 28 

17.0 75163.9140-4j} 29] 104-4] 75-5} 79] 144-0] 105.2 [29 

| 24-3] 17.6]| $0[64.7[47-9}] 30] 105-2 76.4 80 145 60/105 Sf} 30 
132.5 | 4125-1 18.20 81065. 57.573110. 077. 0181[146.4(706 40231 
133-1 2125-9] 13.8] 8266.3 48 2] 32] 106.8|77-61| 8201472 1%½ 32 
133 6 | 34]26.7 19,4 8367. 148.8] 33107 678.2 83j148.0[107.6)1} 33 
134. | 341 27-5| 20-0) 8468.0 49 4 34108. 178.8 $41143.9]108 20 34 
134. 35 283 20.6085 68.8 5o-olf 351109-2179-4 85 149.7 108.7 2 
13%, 121.2 869. 50. %% 36 119.0] 79.9! 8150.5 55 236 
1359 939.921.7877 451.1 37120. 8180.5 371513] 109.91 37 
136.303.722.300 8871.251738 111. 6810 88132.1J 110.50 38 
137-1] 3%3¼6 [22.9 8972.0 52.3] 2912.58.70 8952.971110 39 
137-0 E22 go[72. 3 | 52:9]} go [113-30 82:3j g0|153:7[111-70| 40 
172-10 | 41]33-2| 24-5 91 73.61|53-5|]141} 184.1} 82.9}}1911154-5]112-3]] 300 
229-4 | 4234-01 24.70} 9274-4] 5411] 4217498350 92{155-31112-91] 400 
286.8 63 34-© 125+3 93 752 $4+7 43 115.7 84 1 93 156 1 11344 500 
344-2 | 44135-6 | 25-9} 94176-0155+3]] 44 [116.5] 84-5] 94 156.9] 114 of| 6c0 
401-5 3130.4 [20 5} 05}76-9} 55:8]} 45|117.3]85:2]| 951 157-8] 114-61] 70 
| 27 9677.7 564/4611818 88196 158.6115. 2 [ 8:0 

27.6 97/78 5157.0 4718.918640 9711594 115. 8900 
28.2 9879.3 57-6 45 119.787. 0 98160. 2116 4 ||1000 
28.8 9980 1058.2 49120. 587.6 9911.011700 
20. ||roc{$0.9] 58.8Þr50]121.3] 88.2|200|161-8] r17.6]|3c00 

Lat. 511 Dep. ¶ Lat ba Dep. [Lat. Diſt[ Dep. [Lit. et. 


Difference of Latitude and Departure; 


_ „2 "WT" 


— 


37 Degrees. 
.it Lat, Dep- HDi, Lat. (Dep, | Diſt Lat. Dep. Diſt] Lat. Dep. 2 
110.8 OG. 5¹ 40.730.711 101 30.7 60. 8 151 120. 6 90.91 201 
201.6 01.2 <2| 41-5} 31.30} 2 81.561. 40 5212.4 9.5 oz 
3,02.4101.8}} 53} 42+3}31-9]} 03 | 82.3162. 3122.2 92.1 oz 
203.2 0241 521430 32.5 04 83-1 62.6 541 123-0} 92.7 04 
04 . Sies $3-9403-2j] 55] 123-3] 92-3]} 05 
6j04.3103.6j1 56144+7] 33-7 1} 206 | 84.7] 63-8{[: 55] 124-6| 93.9 206 
7285 604.3 57145+5] 34-30}, 07] $5+5104-4\)þ 57] 225-4| 94+-5]] ©7 
8 06.4h04.$! $58] 46.3] 34-9] 08] $9.2]55-o'!] 58] 126.2] g5.1f os 
g}27-21c5.4j 59147+?|35-5]] 09] 87.0]6-.0]] 59] 127-0] 95-71]] og 
1-j-8.0106.5}} 60147-9] 36-11] 10 87.8 60.2 601 127.8 96.3 10 
1ilo%n[0o.oh 61]48-7] 36.7]} 131 | 88.6]56,8|[161] 128 6] 96.9 214 
124998 7.2 62 19•5 37˙3 12 39.4 67.4 62 129.4 97˙5 12 
4428 03] 59-3] 37-91] 139.268. 63] 130-2] 98.1 13 
1,1 11-2|-8.4}} 6:]51-1];38 5;f} 14] 91.068. 64] 131.0] 98.7 14 
1: 12.ofog.c} 65] 53-0] 39.if] 15] 91.8] 59.2 6; 131-8] 99.30 15 
N 12.8 oy. 66 $2-7 39-7 116 92.7 by 38 166 132.6 99 9 216 
1; |:3.5] 10.20] 67]53-514c,31] 17 9347.4 67133-4100. 5 17 
144.4 [0.8 6854 340.9 18 94.271. 68134. 2101. 1 18 
1c [15-2[11.4)} 655445 1995-976 691350017 19 
206.012. 70} $5-5142.10} 20] 95-81 72-2} 70 13 5. 8102.3 20 
21 | 6.5|12.6j| 531 56+7142.7j} 121 96.672.871 136.6] 102.9 221 
2.17.6 13.2 72 2. 43.31 22 97-4 73.4 721137. 4103.5 22 
2; [18:4|13.5} 75} $5-3]43-9]} 23] 58.2 J74.0/ 73] 138-2] 104.1]] 23 
24 | 9.2144 74] 59154445}, 241 99:21 74-0] 741] 139-01 104.7} 24 
2:120-0[15.0h 75 $9-0] 45.1 2 99.8 2275 139.8 105.3 26 
2020 815.60 7660. 745. 7126 foo. 675. 8076 149.6105. 9 226 
7121.6 10. 771®1.5140.3 7 [t01.4 70.4 77] 141-4{ 106.5} 27 
2*]22.4}16.9]} 75192-3][46.9j} 28]102.2[77.0N 7842.2 107.1] 28 
26123-21}17-5{\} 79 63 1147.5 291g. o 77.6 | 791] 142-9] 107+e7 29 
3024. 0 18.485 63.9 48.1 3103.8 78,2 . 143.7108. 30 30 
iT 24.818.7 $1164.7] 8.7 i531 frog 6178.8 {181} 144.50 108.9]] 231 
3225.610193 8205.49.31 32 1105-44 79-4} 82] 145.3] 109.5] 32 
3326.49. 83] 56.3] 49.9}} 3306.28. 83] 146.1110. 10 33 
24 127.2 120.51] $4167-1]50.6j} 34[107.0]80.6|| 84] 146.9] 110.7 34 
3528.9 0 850167.9] 51.2} 3517.3} 81-21 35] 147-7] 111-30} 35 
36128 71 786587578136 58.6 51.586 148.5] 111.9 236 
37129. 522.30 8769.5 52.4 37109. 4182.4 87149.317112.5ʃ 37 
3830.3 22.9 8870.3 53. 0 [ 38 10.283. 88150. 1113.10 38 
| 39{32.1123.5j} 89077,183·6[[ 3911.908360 8915.971137 39 
4031.0 124-11} es- 245 111.8184 20 g0j151.7|114.3}} 40 
4132.7 [24.7 9172.7 54.8 || 141 112.084.9191 152.51114.9 300 
42133+5125-3}] 9273.5[55- 400 42111341 $5-5}} 92 [153-3] 115-51} 4c0 
43134-31259] 93174-3j560-0 || 43 [114-2] 86.1 93 | 154.1] 116.11} 500 
44135-1126.5)} 94175-1156.6|| 44jx15.0] 86.71} 94|154-9]116,7]| 600 
45135-9 27:210_95 75-0157-2j| 45{115-80 57-3 _951155-7]117-31| 729 
4636.7 [2.7 9676.7 57.5 11146 [116.6] 87.9}}196|156.5|117.9)} 800 
4737.5 28.3 97177-51534 j| 47 (117.488.597 157.3118. 6 goo 
4838.3 [28.9 9878.31 59 [ 48 [118.2] 89 1098 158.1119. 20 10⁰ 
49 39.129.599 79.1059 61] 49119 689.7 99158 9119.8 
50139. [z. 11[109175-9102-21| 1591119.80 90.3200 \159.7 [129.4 [Ne 
1) Dep Lit. Dit Lep-ILat. II Diſt !Dep. ILat. Piſt Pep. Lat. oe.) 
| 523 Degrees. 


{Sj Smpp +++ ++ [wo ww 


1 


— Difference f Latitude and Departure. 207 
a 8 — — 
8 38 Degrees. 1 
bebe. b (D-p. I Dit] Lat, BDE. Dutt, | Lat, — 
I, _ 151 79.6162. 119.0 201 158.4] 123. | 
12 1100.8] 00,6 2 128 wy 3 * 15 ** o2| 159.2 124.44 | 
2 0 2101.60.20 5214 '2 3 ” $2: 2163-4 120.5 o3| 159-9} 125-0 | 
02. 4401.8 53141-8] 32.61] 03 -2193 $3 aze.6 | 
3-4 3 2.5|33.2]| 04 87.964. 54[ 121.3 oq | 160.7] 125.6} 1 
2 4193-2] 92-5} 5$4145+51 33: + 8 67 6 4 050 161.5] 126.2 4 
4 o(03-9[03-11|_55[43:31 33:91] 05 | 32-7 = 5 — ——=| 1 
' — SS af 100 1 . 122. 206] 162. 84 1 
e e e r , e 
8 712 x 66. 81124. o8] 163.9 181 ; 
Nee 4.08 0B] 85 1160-51) 58] rakes El, 128.7] li 
7.0 g — L 42. 36. 10 86.767.785 126.1 1067 5| 129.3 | | 
7.6 — . — 56.8 [5148.1 7.611111 $7.51 08.3 161 126.9 211] 166 2} 129.9 0 
e e 6048.23.12 88.2|69:0) 62] 127.6 12 167.0] 130.7 [| 
5 4.5. 6349.38.80 x3] 39.8 69.6 l 64] 128.4 1326-801317. . 
9 4 13 10. 208.0 6 8 8 70.2 64 129.2 14 168 6 131.8 I 
- 4411.58.60 64] 50-4[39.4 || 14 89. | 2 Be 6 1 
1 1 11. Sog. a 65) 51-2140.0f} 15] 90.6 2.8 65] 130. 0 151169. | 1324 f 
0.6 m1 bags | 271 — 6 AA e 130.8 2:6} 170.2} 133-0 | 
ol oe eo 27 8 777 3446704376 21 745 
1.5 1 4 $4 8 68 r. 41.918 93.0727 68] 132.4 18] 171.8 1274 Il 
4 10115. 17 654.442. 5 19 93 8[73-3]] 69] 133 2 19] 272-5] 234- 100 
+4 : 1812.3 [ 70] 55:2143-1]} 20] 94-51 73:90} 70[ 133-91 7 20] 173-31_135'St ! 
. —— — — CEOS ee, ww A 1] 174.11} 130.3 | 
fl ERR e: BO re er 
4.5 G4 * 1˙5 cn 1 * 4 3655 75˙75 731136. 3 23] 2175-7] 337+3 1 
WY | 3112.9] 14.80) 721583115 e 24] 5776.3 740 137-1 24] 176.5] 137-9 | 
b 0 8 * 9-50 + ny 46.2 25] 98.5177-*]] 750 137-9 25] 277+3 * | 
ws Fr FAN 77-6111761 138, 6] 278 1] 139-1 | 
485 57 r 470122 78.277135. 21. 27 158.0 432 If 
71 ZIA. 2% £44 Pak l ey 78| 140.2 28] 179.6] 149.4f ; 4d 
5 Aae e e eee ee 29 180.4] 141.0} | 
9.0 150 3 8 * 5 — = = 102.4 30.0} 8141.8 301 181.2] 141.6} | 
9.6 ——— 2 2 8.7 221] 182.6 142.2 * 
e ee eee eee 
0 1 8 8 85 65 4 . 6 3 31.9 $3] 144-2 33] 183.6 143-5| | | 
— 4 26.8 . 84156 257,7 34/09.632. * 2 44 = So [0 
* 2 wm — Bo "_ __ 25 — 975 = 57 — It =! | | 
3.2 3628.4 22.2 [86 07.0 224 ad baddox ; 8 7186.7] 145.9 1 
0 8806.54. 35 15 b. 2 3148.7 38] 187.5 146.8 | 
E 33 . Oy 89 4 ww — 109.5 85.6 89} 148.9 391 188.3 4 | 
ay 39139-7124 „ Lou 89.14 147.8 | 
of N 3186.2 90 149.7 40] 189.17 147 | 
SEE eee || 
049 41132-3]25e2jj 91/7172 8 ' 400 315.2 2406.3 14 
1.1 4233˙1025.9 9272. 5056˙6 42 ph 27-4 7 14 500 25 * | 
m 3395.5 93173-3 4 2 1 88.7 94] 152.9 boot 472 3] 309-4 1 
1.5 4434-7 [27-1 || 941 74-2157-90} 44 [13-5 39.4 951 154.6 700 551.60 431.0 | 
16) F | 45[235[22-2 1 25] 28-203] 45 [eu af 586 630.4 492-5 
1.8 4636 2028.3 9675˙ [591146 a6 So 99 65 . go 709.2} 554.1 
3 6 47137 28.9 97176.4[59-7 |} 47 [115-80 99-51] 97] 155: . 
zee 0 z. 3 4508. || 98] 156.0] ee 788 of 615.7 
* a a - 6.8 2000 $1570.01123I.4 
at, 4938.6 30.2 9978 © 4 4) MET hp | 2 1 * 3990 6 Poa 1847 1 
_ $£139-4] 30.8 [[120[78 $101-5Fxgofro 2 — F 21. | De Lat 
0:41 Dep. Lat. jjDift] -ep. ILat, (Diſt Dp. Lu. HDi p. r — 1 
— 52 Degrees. 


— x ——— 


Dep. yjDiſt; Lat. Dep. Lt L. 


00.6 51139 6 [32.1107] 78. 
01.3 52]49-4 |32.7}] oz] 79. 
01.9 $31 41-2 [33-4] 03] 88. 
02.5 [ 54/42. 34. 0 04] 8 

3-11 551222 34.0 05 8 

03.8 5643.5 [352 [106] 82. 
04.4 57144+3135-9|| 07] $3-1 
05.0]] 58451 36.5 [ o8] 83.9 
05.7 59045˙8 371 cg] 84-7 
ob. 3 60]46-6|37.8j] 10] 85:5 
06.91] 61147-4[33-4|[cx1] 86.3 
07.6 6248.2 |39.0j| 12] 87 © 
08.2 || 63149-2|39.6j| 13] 87.8 


08.8 |] 641]49-7 [40.3 [ 14] 88.6 


9.31} 196|139-3]110.8]} 226 
17.01] 771 59:3148.51] 27] 98-7179-9]} 77137-81140 27 
17.6 7860.6 49.1 28] 99.5 80.6 7838.3 4112.0] 28 
18.2 79|®1-4[49-7]] 29] 100.2]81.2 791139-1]112.6]| 29 
18 9 8562.2 5.3 301 101-018:.51] g011394.9]113.3]} 30 
19.5 8162.9 51.0731 101.8]82.4j] 185{14-.7 113.9 231 
20.1 826375160 32 [102.683.100 821141.4| 114.5 32 
20.883645 33] 103 4[83-7]| 830742--2[115ë4 33 
21.4 8415-3] 52.9 34] 194-1]84-3]} 84/43 0115.80 34 
22.0 85 66.1535 3314.9 8585 14 3-6 116.40 35 
22.7 [86 66.854.130 105.78 5. 186144. 5 117.10 236 
23-31] 877.6 54.7 371106. 586.2 87114537. 7 37 
23.9 88168.4055˙4/ 3810.2 86.80] 881146.1 118.3] 33 
24 5 39 69-2] 55.0]| 39|108.0[87.5]] g9|146.9| 118.9 39 
25-21} 9-122:9| 56-61] 4o| 103.3188.1]} g01147:6[ 119.6] 40 


25.8 9179.75 
26.4 9271.55 
27.1 93172315 
27.7 947395 
532A 
28.9 964 74-0] 60.4 | 

29.697 75-4| 60.9 47| 114-2192-51] 971153+3] 124.01] goo 
30.2 98 76.2|61.7 f 

30.8 9976.9 62.3 4915.8 93.8 99 154-6 125. 2 2000 
31-5100 77-71 62.9||150]116 6 94-41] 200| 155-4 125.9] 3000 
Let. [Dit] Dep. | Lat. S Dep. ¶ Lat. [| pin Beg | Tar, (DM 


Difference of Latitude and Departure. 


40 Degrees. 

Ja: (Dep: pPrfLarey Dep. E L 
55.600.051 39-1] 32.817 77-4164-9||151 [115-7] 97.11] 201] 154.0] 129:2 
01.801. 3 52139-$] 33-4}] 02| 75-1 65.61} 52 [116.4] 97.7 O2 4 129.9 
02.3101.9]| 53/40. 6 34-1] 03 78.9 66.2 53[117-2] 98.4 » 135.5] 130.5 
03-11 02.6] 5414-4} 34-7 |} 94] 79.766.854 [118-0] gg.off og] 156.3] 131.3 
3803. 55142-1135-3]| 589-462. 55 118-4] 99.6] os] 157.0] 131.8 
eos <6 42.9] 36.0||106] 81.2168. 1156 [119.5 100.3]} 200 157.8 132 4 
0 i 5 43.736. o7| 82.068. 8 57 [120.3] 100.9 ©7] 158.6 133.1 

105. 1 5844.43 7.3 08 $2.7199-4i] 58 2222 101.6] c8 159.3] 133 7 
obg{[05.3j| 59 [45+2] 37-9]} 0g] 83.57. 5921. [02.2 og] 160.1 134-4 
07-7| 06.4 6014.0 33.6 10 84.3 2165 122 61102. 8 © 160.9 135 0 
08.4|07.1 61146.7]39--[|x1r| 85 ©[72-3||161 | 123-3 103.5 211] 161.6] 135.6 
09. 20.7 62147+51 39-9} 12 _T 72.0 624124-i1] 104.1] 12 162.4] 136 3 
10.0] 08.4|| 63048. 3040.5 13 88.672.663 | 124-9] 104.8!] 12] 163.2 156.5 
10.7] 09.01] 64149-0]41-1]} 14 $7.3173-3]] 64|125-6] 105.4 14] 163.9] 137.6 
e 65/495] 42:8 x5] 83.2[73-9]| 65 126.4] 196.1] 15] 164. | 138.2 
12-3 10.3 '66 50.6142-4}|116 _y 74+6 106127 [106.7 2.6] 16; 4 138 2 
1310.9 67]51-3143-1]] 17 89.617 5-2 671]127-9]107.3 17 166.2 139. 5 
1381.0 6852.143718 90.4759 68128. [108.0 1g] 167.0 140.1 
14-6] 12.2 || 69 52.90 44-4 || 19 91.2 76.5 69] 129.4] 108.6 19] 167.7] 140.8 
15-3] 12 gf 70[$3:6145 off 20} 91-91 77:11] 70 139-21 129-3] 2of 168 5| 14144 
16.1] 13-51, 511 54-4[45-of[i21| 92.7] 7748]|171 | 131.0] 109.9] 5, 109.3] 142.1 
16.9 14.1 72[55-2146-30] 22j 93-4] 78.4 721 131-7 110.6 22] 170.0 142.7 
17.6 14-8}] 73155+9140-9]} 23] 94-21 79-1} 730 132 5[111-2]| 23 7% 8] 143.3 
18.4 15.41 74 56.7 47.0 24 95.0797 7441333} 111-9 24 171.6 144.0 
9-21 16.1}} 751$7-4[48:21|_251_95 71 52:40 75113421 112:5f0 25] 172-3] 144.6 
19.9 16.7 761 58.248.926 95. 8[8 076 734.8 113.10 20 173-1 145.3 
2712-4 77159-0149-5]| 27] 82-3] 77361380 2-| 173.9] 145.9 
21.4118.0f} 78] 59.7] 50. 1 28] 98 82-3 [ 78136.3 1114.40 28] 174.0 146.6 
2. 2018.6 79160.5] 50.829 98.882.979 137-1] 115.1]] 29 175.ͥ 147.2 
23 © 19-3| 8c [61.42] 51-4}} 30 99.6 $,.6 80]137-9] 115-7 _30| £762] 147.9 
23.7 1949 5162.00 52.1131 100.384. [18111356] 110-4|| 2-7] 176.0 148. 5 
24.5120 6 8262.8 52.7 32101. 1849 821394117. 321 177.7] 149.1 
25.3021.2 8363.6 53-4 33101 9 58˙5 8311402 177.6 3378.5 149.8 
20,21. 9 [ 8464.30 54.0 34102. 686.1 84 140.9 118.30 24] 179.2] 150.4 
£6-3]22-5}} 5165-2] 54-6} 35103-41863} 85 1141-71118 6 350 180.0] 157.1 
27.6 231 8665.9 55.3130 104.2 87-4 8614250119. 236] 18.8] 151.7 
3.3238 8766 055 9 3704.9 88.1 8743.2 120.237 181.5 152.4 
29-1124 4 8867.4 56. 38 105. 788.7 88 144.0 120.9 38 182.3] 153.0 
29.9025. 1 8968.2 57 2 39 106. 589.4 89 [144.3] 121.5] gf 183.1 15 3.6 
522582 z.. 22. 4 183.8] 154.3 
31.4 26. g1 69.7} 55.5 [141 [108.0]90-6j}191 [146.3] 122.8|| 300 229 8| 192.28 
52.2 27.0 92070. 559.1 42 [108.8 91.3 g2[147-11123-4 || 400 306. 4 257.1 
3923.60 931.2598 43 [109.51 91-9 I} 930 147-$1124-1]} 500 383.0] 321.4 
33-7128.3]] 94[72.0160.4]| 44 [110.3] 92+6 || 94] 148.6|124.7 || booſ 459.6] 385.7 
228. 28022-8061. 45 [111-1193-21] 951149-4| 125-4 || 70ch 536.2] 449.9 
35-2 29.6 96073. 561.7 11146 [111.8] 93-9 |[1g6[150.1] 126.0 800 611.8] 514.2 
36.0130.2|| 97174-31924 |) 47 [112.6|94+-5 || 97 [150-9] 126.6 || 900 689.4] 578.5 
36.830.898 75-1103-0]| 48 [113.4[ 95-1 || g98[151.7|127-3||:o00c] 766.0 642 8 
37-5131-5|| 99175 8063. 49 [114-21] 95-5 [99 152.4 127-9 [2000]1532.011285.6 
38.3 32. 1 10076.664.3 150 [114.0 99-4 200 1153-2 128.6 3000 2298.001928. 4 
Dep. Lat. ¶ Piti cg. Lat. POR [Dep, IC ac. NOR pep. Lat. ¶ Bit. Dep. Tat. 


30 Degrees. 


E e 


\f 
bs — 


210 Difference of Latitude and Departure. 
| | 41 Degrees. 
Diſt (Lat, | Dep. i Diſt Lat. ¶ Dep. Diſt Lat. Dep. Diſt; Lat. 
10.8 7 51 38.5335 0 76-2}66.3 151114. 0 
201.51. 3 5239,34. 02] 77. 066.9 52| 114-7 
312.302, 53149-01 34-3f} 03} 7226.6 52111545 
4193-01 02.6}} 54149.81 35-41} 04] 78-5168.2|} 5411162 
D 
604.5039 5642.3136.7 [106 80. 0 69.51] 456] 117-7 
705.3104. 5743374 80.870. 2 5118.5 
808.05. 38 43.838. 81.570.858 119-2 
906.8 95-9 59 44,538.76 82:3]71.5]| 591 120.0 
eee bene 
777 08.3107. 2 6146.40. 0111 83.872.8 ö 161 121.5 
1209 100.9 6036.340712 84-5[73.5]] 62122 3 
1309.8 08.5 6347.847313 85.3741 631123. 0 
140,6 09.2 6448.3 42.0 14] 86.074.8 644123 8 
| 25142-3]99-3} 64149-11426 15] 86.8 75:41] 65] 124-5 
1612.1 10.3 5649˙8 4330116 87.578.166 724 
17|12-%| 11.2} 675.6440 17 88.3 76.7] 67126. 0 
1813.6 11.8 6852.304460 18] 89.77.40 68] 126.8 
19] 14.312. 5 69| 52-11 45-31] 19] 89.878. 1 69] 127-5 
2012521 23:7 72 [522145:2h_201_90-6178:71 7oj123.3 
210158 13.8 7153.64.21 91.3} 79.4 172] 129.8 
2216.6 14.4 72154-31[47-21| 22| 92.1080. 0 721 129.8 
| 23[17-4] 15-1} 73155-1147-9]] 23] 92.880. 7 731 139.6 
2418.716157 741 55-31 48.50 24] 93.681.3 7411313 
_25]22:9| 22:4_75 [50:01 49:2]| 25] 94:3]82-0]| 751 132-1 
 26119-6]17.1}} 7057.404990] 126 95˙1J82.6 176 132.8 
; 2720-4] 17-7} 7758.1 50.5 27] 95-8183.3]] 75| 133.6 
j 28]21-1] 18,4 281 58.9] 51.21} 28| 96.6|84.0 781134-3 
29121-9] 19.01 7959-6] 51.81] 29 97.4184.6 7911351 
3022.6 19-2 886.40 52-51} 30 98.18 f. 3 80 135.8 
31123+4|20+3]} 8761.105310 731 98.9J85.9 181 136.6 
32242 21.0 8261.9 53.81} 32 99.6 86.60 821374 
3324.9 21-6] 8362.6 54.40 33 100.487. 2 831738. 
3425˙7 22.3 84(63.4/ 55-1]] 34 (101.187.984 138.9 
2 eee 851139.6 
3627.2 23-6 8664.9 56.4136 102. 6089.2 || 136 140. 4 
3727.9 24+3]} 875.757. 1 371203-4|89.9]] 8141.11 
38 28.7249 8866.4 57.7 380104. 290. 5 88 141.9 
39|29-4|25-6]| 8967.2 58.40 39[104.9]91.2]| $9|142.6 
| 432-21 20-21}_90167-9] 59-00} 401205-7]91-81] go[143-4 
41 30.9469 9168.7 59.7||141[106.4|g2.5 191144. 2 
4231.72. 9269.4 60.4 42107. 2 234 921449 
| 43] 32+5] 28.2] 937.2067. 00 431107.9193.8]] 9348.7 
44|33-2]28-9]} 9470.9 61.7 44 [108.7 94.5 941146.4 
£43[22:2]29.5] 95172:7] 82:31] 45[209-4[95-1]} 951147-2 
| 46] 34+7] 30.2 9672.5 63.0146 110.2 9 8196147. 9 
| 47135-5] 39-3}}, 97173-21.63.61} 47|220.9]96.41þ 971 148.7 
4836.2 31.5 9874.0] 64.3 481111.7 97-I |} 981149.4 
491 37-C[ 32-11, 99174+7] 04:91} :49[112.5197,71} 99] 150.2 
{_5e[ 37-7] 32-8|[r00[75-5 65.61[150|213.2 98-41|200ſ150.9 
Dif | Dep. | Lat? NNDiR(Dep.] Lar: pin Sep- Lat. da BG 


49 Degre 


\ i 
\ 


Differnic6 of Latitude and Departure. 2211 


* | 
| 442 Degrees. | | 
t, Lac, ;Dep.1,Diſt )Lat. Dep. Diſt Lat. Dep. y Dit. I La. Dep. | | 


33.0] 34.81] oz1 75. 
39-4] 35-51] 3 76. a | 
49-1] 30 11} 04 77-3] 69.6 541114 4/103. 

40.91 36-81] os} 78.0] 70.21} 55115-10103 7 
56141.6[37«5|[106| 78.7] 70.91] 156 115-9 104.4 || 206 of 137,8 


| 
37 9124.1 10 75-0] 62.615113. 2101.0 201 134.5 | 


42-31 38-11} 07] 79-5] 71.6 576.6105. o 

43-11 33-81} 08] 80 2 72.30 581117.4|105 7 139-1 | 

43-8] 39.5 l 09] $1.0 74-9 59 118.14 106.4 | 139-8 N 

e ei 2 | 

45-3] 492-8]]111] 82.5] 74-3][1621 129.6] 107.7] 211 141.2 Wl 

46.1|41.51] 12} $3.2| 74-91] 62]120-3] 108.4] 141.8 | 
3146-3 42.10 13 83.9] 75-0} 63]121-1] 109.0] 142.5 

47-514* 51] 14] 84-7] 70.30} 641121-31109.7] 143-2 

48:3]43:5}} 15] 85-4] 76.9]}_651122.6] 110-4 2155 l 

49-0 | 44+2[|x16] $6.2} 77.6]]166[123.3]111.0}} 216 144.5 f 

49-8 44-31] 17] 86.9 78.3 67124. 1] 117.7 145˙2 

50.5 475 14] 87.7 | 78.9 681124.3]112.4] 145.8 

51.346.219 88.4 9-61} 6917125.5[113.17 146.5 js 

$2.0 46.8 20] $9.1] 80. 1 701126 311137 147.2 

52.7475 [l 721 89.9 oy 171]127.0|114.4 147-3} 

53+5]48-2]] 22| 90.5 81,6 72[127.8|115.1 148.5 

54.248.823 91.4 82.3 731128.5[116.7 149.2 

$5-0149.5 241 92.1 83. 741129 3 116.4 | 149.9 it 

$57] 52:2} 25] 92-9 83.6 75[132-0[117-1 |_25 150.5] 

56 550.8126 9346] $4-31[176| 139+7|11747 151.2 

$7-2| 51-51] 27} 94.31 85 771131-5[11844 I 51,9 1 

$7-9| 52-21] 28 95.1 | 85.6 78] 132.2|119,1] I52.c 4 

58.7 52.9 29] 95-8] 86.3 79 133-0[119.7| I 53-2 


69.1162.2]; 43[106.2| 95-7 93114 3-4 129.1 
| | 44 [107.0] 96.30 94744101298 
28.6 63.6 4507.7 97-01] 95] 144-9] 139-5 
146[108,c| 97.71] 195|145-6]132.1 5 625, 
* 5 97146.3 131.8 900 668.8 602.2 ö " 
98|147-1]132-5{j1000| 743-1] 669.1 { 
99|147-5[133-111200011486.211338.2| 
150111. 410.4200 143.6|133-$ 3000 [2229.3 [2097.3 
pm. Sep-. Cat. IDiſt|Dep. L. [Bi] Dep. | Lat, 


Pint Dep. Lat. | 


— I 


Difference of Latitude and Departure, 


212 
43 Degrees. 

Git Let. Dp Dif, Lat. (Dep. (| Dit Lat. Dep. ia Lats [Dep: nDiR.; Lat. Dep, 
10.71 00.7 || 511 37-31 34-81] 101] 73-9] 68.9 151 110.4|103-Off 201 147.0 1370 
2101.5]01.4|} 52138-0135. 51} o2| 74-6] 69.5 52 111.2103. 6 oz 147-7] 137.7 
300. 2 oa. 53138.8136.2[] 03 75.3] 29.2 53 [111.9] 104-3 03] 148.5] 138. 
4192-91 02.7} 54139-51 36-81] 04 76.2] 70-91 541 112.6]105.0f} oz] 149.2 139.1 

_$193-7| 93:4] $5149:21 es 76.8] 716 55] 2213:4|295-7}} og] 149 9 136.8 
04. 404. 50/4038 21| 106] 77-5] 72.356114. 106.4 2256] 150. 7 140.3 
25-1048 5714171 38.9]] 07] 78.3] 73-0 57] 114-8] 107.1 07 151-4] 141.2 
8105-9105.5 5314241 39-51] 8 79-0] 73-6f] 5815.60 2.7] og] 152.1 141.8 
9 oo. 6.06.2 59143-1]40.2]] og] 79-74 74.3 59| 716.31 108.4 og| 152.9] 142.9 

20[27:3] 26-8} 65143:9142:91] 20] 39:4] 25-2 bo 127:0 299-1} _r0þ 153-6] 143.2 
1108.0. 5 61144-6]41.6|[ 111] 81.2] 75-7]|163] 117.7 [129-520 2313] 154.3 143.9 
12|90.&| 8.2}} 62145-3142.31]] 12| $1.9] 76.4 62] 118.5] 110.5} 12 155.01 144.5 
13199 f/ 8.9 63 46.1043. 13 82.6] 77-1 03] 119-2] 111-20] 13 155.8 1454 
14 10.2 ©9.5 6.; 46.8 43-6 14 83·4 77.7 64 1199 111.8 14 156.5 145.9 
1501-2] 19:20_05147:5144:31| _15 [34:21 _73-41} 65] 120.7] 112-5] 15] 157.2] 1466 
16]11.7] 10.9} 6648. 345.0116 84.3] 79.1 166121. 4113.2 216 158.0 1473 
17] 12-4] 11.6] 67149-©145.7]] 17 85-6] 29 8 67] 122.1] 113-9] 1-5| 158.7] 148. 
18] 13-2]12.3]| 68149+-7146.4]] 28] $6.3] 80-5]] 681 122.9] 114.5 18 159 4 148.6 
1913.913695. 547. 1 19 87.0] $1.2 69 123.6115, 19] 160.2 149.3 

eee eee 
21115-4] 14-3] 71153-9148 4/21 88.5 $2.5||191| 125-1] £16.6]| 221| 161.6 150.7 
22]16.1]15.0)} 72152:7]49.1]] 22| 89.2 83.2 72 125.8] 11743} 22 162.4] 151. 
23] -6-8|15.7]| 73153-4]49.3]} 23 | 90.0] 83.9 731126.5 118.0 23 164.1 152.1 

- 24] 17-6] 16.4]] 74|54+3]50.5]] 24] 90.7 84; 74|427-3]118.6 24| 163.8] 152 7 
25|5:3]17-1| 7515+ 9[51 21] 25] 91:4] 85-2] 750125 o[219-30 25] 164-6] 153, 
2(] 19+-C| 1747 76 55.0 51.8 126 92.1 $5.9 176 128.7 120.0 226 105.3 1541 
27]19-7]18.4}} 7756.3052.5 [l 27 92.9] 86.6 771129.4J 120.7 27 166.0] 154.8 
2820.519278 57 953.2] 28 93.6] 87.3 78130. 2121.4 28 166.7] 155. 
2921.2 19.8 79157+®[53-9]] 29 94.3] 88.0 79 130.9 122.1 29 167.5] 156.: 
36 21.928.588 $8-5]54.5]] 30] 95.1] 88.6 8o|131.6| 122.7 30| 168.2] 1568 
322.7212 $1159-2] 55.2} 131] 95.3] 89.3|}185| 132.4 | 12344 231 168.9] 157.5 
3:123-4}21.8 $2 160.0 55-91] 32] 96.5] go.off 82] 133.1] 124-1 32 169-7] 158.2 
33124122. 5 83 60.7] 56.6 33] 97-3] 90.7 83] 133-8] 124-5]] 23] 170.4 155.9 
34 [24 9] 23-2} 84 91.4157-31] 34] 98-0] 97.4 84|134-6|125-5|| 34] 173.1] 155. 
35}25-v[23-9]] 85192:2] 53-0} 35] 08.7] 22.70 85135 3[126.2]| 35] 171.9] 16. 
36]20-3[24-5j] $6102-9] 58.61] 136} 99.5 g2.711186| 136.0] 126.8 236] 172.6] 169.9 
37 127-1 25.2 87 63.659 31} 3700.2 93.4 871 136.8] 127.5] 435] 173.3] 261.6 
382.825.988 64.46% [ 38 [100.9] 94.1 88| 137.3] 128.2j| 380 174.14 162.3 
3928.50 26.0 8965. 1060.7 39 101.7 94.8] 89 138.2 128.9 39 174.8] 1630 

_49]29%:3127+3 90661. 4102.4] 95-5 90139·0[129.5 go} 175-5] 163.0 
4130.08. o gl 56.6 [62.1 1411103. 1 96.2 1911139.7 | 130-2 300 219.4 204-0 
4230. 728.6 9267. 362.7 42103.9 96.8 92 140.4 130.9 [ 4co| 292.5 272- 
43] 31-4j29-3] 9368-063. 40 43 104.5 97.5 93 147.1173 1.6// 5% J] 365.7] 341 
4432.20 39. 0 9468.7 [64.1 44/105.3J 98.2 94141 9132.3 600] 4338.8] 40962 

45 4359 30-7 95 69.5 648 . 106.0 98.9 95 142.6 133-Olj 700 <11.9 477-4 
46 33-6] 31.4} 96170 2165.51[146[1c6.8] 99.5|}1196| 143.3|133-6]| 800 585.1] 5:5 
4234. 32 1 9770.91 66.2 47 107.5 [too. 2 97144. 1134.3 900 658.2 613.3 
48 35˙ 10327 871.766.848 108. 2100.9 98 |144.8|135 off 1000| 731.3] 682.0 
49. 35-8] 33-4}] 99 72.467.549 109. 0001.6 99 |145.5|135.71|2000|1462.6]1364.0 

50 36-6! 34-1109173-1168.211150[109.7]r02.3]]200| 146.3 |136.4|3000[2193,9]2049 

U.it Dep. Lat. 3Diſt])+p.1Lart II Hiſt Dep. [Lat, pin Pep. Lat. I Dit. | ep.“ Lat. 

| 47 Degrees. 


| 


=" 
->- 


=|Y & wo avko > wo * 


„ „ „ „ es Oo eee ie 


EY 
wo. 
— 


— 1 — 


12 


Fw „ % eee eee ee eee eee ee eee ee SW DW eee - 


7-7 


* - = - „ - - - — - - 
Io DD @ aww 6 ww Gow ' 00 = + <2 ow * 


12 r 
9 oy © ww 


——— 
* 
— | 


Fi 


2 


— 


. * 
Difference of Latitude and Departure. 213 
44 Degrees. 
Aer. Der. Ui Lat, Dep. Lat, Dep. Diſt. | Lat, | Dep, 
70 50.7 51 72.6 108.6 104-91] 201 144-0 139.6 
1001.41.40 52 73-4 109.3105. oz] 145-3] 140.3 
1002.2 92. 53 74.1 110.1106, 3 03] 146.0] 141.0 
419249 02.8] 74-8 110.8|107.0} og] 146.7] 141.7 
$193-6]93-5}} 55 T5450 72-4 110-51 207-70 os 147-5] 142-4 
7 043 3 56 76.2 112.2 108.4 206 148.2 14 3.1 
7.04.9 57 77.0 112.9 109.1] o7| 148.9] 143-8 
Floß. 938 5 77.7 8113.6 109.7] o$| 149.6 144 5]. 
q[96.5]06.3] 78.4 114.4] 110.4 og] 150.3] 145-2 
1[®7-: [96.9 29-1 . To 151.2] 145.9 
* 07.9 97.6 79.5 115-$1111.8]| 212] 151-5] 146.6 
;z (08 608.3 80,6 c16.5]112.5)} 12 152.5] 147.3 
10094009 · 0 81.3 112•2 113.2 13] 153.2] 147.9] 
1119-11 29-7 82.0 118.00 113.9 14 153.9 248.6 
22 EE 
16 11.5 11.1 83.4 119.4/115.3 216 155 4] 150.0 
„5211.8 84.2 120. 1116.0 17] 156.1] 150.7 
802.9012. 5 68 84.9 120.8 176.7 [18 156.8] 151.4 
1173.1 13-2] * 121.6611740 19] 157.5] 152.1 
10[14-4]13 9 85.3 122.3081] 20] 1.20 152.8 
1115.1 174˙6 71 $7.0 123.0 118.8 221] 159.0 153.5 
1 15.8 15.30 72 87.8 123.7 119.5 22 1597 454.2 
116.516. 73 88.5 124.4 120.2 23 160.4] 154.9 
117.3] 16.7 $9.2 125.2|120.9] 24 161.1] 155.6 
. LE 1259122160 251 261.8] 156., 
108.718. e] 90.6 126.,6]122.2}] 226 162.6 157.0 
519.418.8077 91.4 127.3]122.9] 27] 163.3] 157.7 
1$120.1]19.4}} 78 92.1 128.0 123.6 28 164. 158.4 
020.920. 92.8 128.8124 3 29] 164.7] 159-1 
L J 89] 57-< 93-5þ.90-3]} Bo[ 129-5125: _3<| 165-4] 159.8 
11[22.3 21-5} $1 94.2 130.2 125,7 [ 231] 166.2 160.4 
12023. 0022.2 82 94.9 130.9 126.4] 321 166.9 161.1 
3123. [22.91] 83 95.7 131.0127. 1] 33 167.6] 161.8 
124.5236 84 96.4 132-4|127-5]] 34 168.3] 162.5 
35]25-2]24+21] $: 97-1 $[133-1 128.5 35 169 0 163.2 
3625.9 25 0 97.8 133.8 129.2236 169.8 163.9 
47126.6]25.7 98.5 134.5 129.9 37] 170. 5 164.6 
3127 3126.4 99.3 135.2 130.6 38] 171.2] 165.3 
128.1127. 100. O 135.9 131.3 39 171.9] 166.0 
4028.8 [27.8 100.7 136.7 132.0} 40} 172.6 166.7 
129.528. 5 101. 4 137+-4|132-7 || 300 215.8} 208.4 
4213921: 9.2 102.1 138.11133-4}] 400] 287.7] 277.9 
6030.9 29.9 102.9 138.8] 134.1} 500] 359.7] 347-3 
4131-5130.6 103.6 I39-51134-8\} 600] 431.6] 416.8 
r 194-3] 109:7 [9511493] eres 
40 33.132750 105. 010 511410136. 1 890/ 575.5] 5737 
41133-8326 105.7 141-7 136.5 900 647.4} 625.1 
$134+5133-3| 100. 5 142.4137. 5 0c 719-3] 694.7 
4935˙2 34.5 99 107.2 143-11 138,21202011438.6{1389.4 
5436-01347 [100 107.9 143-9|138.9]] 300c[2157,912084.1 
aa Bev. Lat. 570 Bit JOep. Cat. Dia] Dep. [Lat. [Dutt] Dep. ! Lat. 
46 Degrees. 


214 Difference of Latitnde and Departure. 
45 Degrees. 
Diſt iſt} Lat, Dep. IDiſt 
I 71.471.451 
2 72.1 72.1 52 
3 72.8] 72.8 53 
4 73•5 73-5154 
22 74:2] 74-21}_55 
6 74 9] 749 156 
7 oy 75-7} 57 
8 76.4 76.4 36 
9 77-1] 77-2] 59] 
10 77.38] 77.8 60 
11 78.5] 78.5 161 
12 79.2] 79.2 62 
j 23 79-9] 79-9} 63 
14 80.6 80.6 64 
15 81-3] 81.3 65 
16 82.0] 82.0166 
17 82.7 82.7 67 
18 83.4 83.4 68 
119 84.1] 84.1 69 
20 84.8 84.8 70 
21 | 35.6 171 
22 38.5 36. 72 
23 $7.0] 87.0 73 
24 87-7] 87774 
26 89.1] 89.1176 
27 89.8] 89.877 
28 90. 5 90. 5 78 
29 91-2] 91.279 
30 91.9] 91.9 80 
31 92.6 92.601517 
32 93-3] 93-31] 82 
33 94-0] 94-0} 83 
34 94-7] 94.7 34 
35 2855 
36 96 2 96.2186 
3' 96 9] 96.987 
39 98.3] 98.3 89 
1 2222.21.29 
! 41 99-7] 99-7|[191 
42029. 109. 4100.4 92 
43130. 2 101.1 93 
44 . a 101.8 101.8 94 
45031. i 67-2 102. 5102. 5 95 
"46 32.5132•5 96 67.9 103. 2H03. 2 196 
427133 ˙2 33 9768.6 103.9 [ro3.9 97 
4833.9 33.9 9869.3 104. 6104.6 98 
| 491 34-6] 34-6f} 9970. o 105.405.499 
| $0135-4] 35-41 1221 70.7 706.1 11106. 109. 1/200 
Bd. Lat, [Dit Dep. Dep. Lat. Dif [Dep 
— — rrrnrrnnn — 
45 Degrees. 


( 215 ) 


TABLE IX. 


(Shrwfng how many Miles Aire to a Degree of Lon- 
' gitude, at every 4 of Lan. | 


N 1278 
31 Mites 4 Miley 
| - ——— 
5 29.09 761451 
2 28.177713. 50 
34 27.24 7812.48 
4 26.30 7911.45 
| 25-35 80119.44 
6 24.4181 9.38 
17 23.44 _ 8.3 
8 22.4883 7-3 
N 21.50 840 6.2 
20.5285] 5-2: 
19.53||86| 4.1 
18.5487 3.1 
17.54 || 88] 2.0 
5489 1-05 
15.53 90 o. o 
F 
5 TABLE 
. 6 
2 
. 0 
7 
4 
1 
2 
43 


1 


— _ — — — —_— 


216 Table of  Meridional Miles. 


| TABLE x. Of Mrridional Mites. 


| 1D.] o | 1 2 3 4 5 6 7 
M | Mi. | Mi. | Miles] Miles | Miles] Miles | Miles | Miles 
To .o[60.0|120.c| 180.1 240.2 300.41 360.7 | 421.1 

1] 1.0|61.0] 121.0 181.1] 241-2] 301-41|361.7 | 422.1 
2| 2.0|62.0]122.0|182.1|242-2|302.4|302.7 | 423.1 
3 3-0]63.0]123-0|183.1|243-21303-4[363-7 | 424-1 
1 4]_ 40 64-0 124.0184. 1244.2 304. 4]364.7 | 425-1 
55.065. 0 125-0] 185.1] 245-2|305:4]365.7 426.1 
5 6.0 66.0 126.0186. 1 246.2306. 4366.7 | 427.1 
77. o. o 127.0187. 1247.2 307. 4J367.7 | 428-1 
8 8.068.0128. 0188.1 248.2 308. 4368.7 429.1 
g| 9-0 69.0] 129-0 189.1] 249-2|309-4 369.7 | 430-1 
10 


10.0] 70.0] 130 190. 1250.2310.41370.7 | 431-1 
11]11.0]71.0]131-O[191.1]251-2|311.4[371+7 | 432-1 
12|12-0]72.01132-0|192.1|252.2|312.4|372+7 | 433-1 
13]13.0|73.0[133-0]193.1]253+-21313-41373+7 | 434-2 | 
14|14.0]74-0]134-01194-1]254-21314-41374-7 | 435:2 [495-7 
[15|15.0]75.0]135-0|195.1]255.2|315.4i375.81] 436.2 
16]16.0|76.0]136.0|196.1]256.2]316.5]376.8 | 437-2 
17]17.0]77.0]137-0[197.1]257-2]317-5[377-8 | 438-2 
18|18.0|78.0]138.0|198.1]258.2|318.51378.8 | 439-2 
19]19.0[79-0] 139-0 199-1] 259-31[319-5 379.8 | 440.2 
20 20.0|80.0|140.0|200.1| 260. 3320.5 380.8 441.2 
21|21.0]81.0]141.0|201.1|261.3]321.5]381.8 | 442.2 
22|22.0|82.0]142.0|202.1|262.3|322.51382.8 | 443-2 
23|23.0]83.0] 143-0|203.1[263.3]323.51383.8 | 444-2 
2424.0 84.144.284. 204-3]324-5]384-8 | 445-2 
25|25.0|85.0|145.0|205.1]|265.3|325.5]385.8| 446.3 
126] 26.0] 86.0 146.0 206.1] 266.3 326.5] 386.8 | 447.3 
27|27.0|87.0]147.0|207.1]| 267.3] 327.5]387.8 | 448-3 
28]28.0|88.0|148.1 |208.1] 208.3|328.51]388.8 | 449.3 
29] 29.0 89.0 149.1 209.11 269-31 329.5 1389.8 450.3 


Equation ſubtractiwe. | 
o.1] 0.6] 1.0] 1.5| i.9| 2.3] 2-9] 343| 3-7 


Table of Meridional Miles. 


—y 


18 
D.] © 1 + 16 5 6 


an 1 — n—— 1 — 


AI Mi. Miles Miles Miles | Miles | Miles | Miles 


30] 30.0] 90.0150. 10210. 10270. 3330.5 | 390.8 
31]31.0] gi.o[151.1]211.1]271.3|331-5|391.9 
3232.00 92,0|152.1|212:1|272.3] 332-5 392.9 
33]33+9] 93-0]153-1]213-11273-31 333-5 1393-9 
3834:9|_94:9[154-1]214-1 [2743] 334-5 [394-9 
351 35-0] 95-0 155-11215-11275431 335+51395+9 
36] 36.0] 96.0] 156.1]216.1|276.3| 336.5 | 396.9 
37137-0| 97-C157-I]217-11277+31337+51397-9 
3838.0 98.0[158.1|218.2|278.3]338.6|398.y 
39] 39.0] 99-0[159-11219-21279-3 339-61 399-9 
40 40.0]100.0|160.1]220.2|280.3] 340.6 |4©c.9 
41]41.0]101.0|161.1|221.2|281.3] 341.6|401.9 
42]42.0|102.0|162.1|222.2|282.3] 342.6 402.9 
43] 43.01103.0]163.1|223.2|283-3] 343+6 [403-9 
44|44-01104-0] 164.1]224-2|284-3] 344-614c4-9 
45 [45-0]105.0]165.1]225.2|285.3] 345.6 [405.9 
46146.0[106.0] 166. 1 226.2 286.3 346.6 [407.0 
4747.0 107.0167. 1227.2 287.3 347.6 [408.0 
4848.00 108.0168. 1228.21 288.3 348.6409. o 
4942.019169. 229.2 289.3 349.61410.0 
50 50.0110. 0170. 102 30.2 290. 3350.6 [411.0 
zI|51,0][111.0]171.1]231-21291.4| 351.6 [412.8. 
52|52.0]112.0|172.1|232.2|292.4j 352.0 413. o 
53153-0[113.0[173.1|233.2|293-4] 353-0 [414.0 
3+154:0]114-0]174-11234-2]294-4 354-6 |415-0 
55]55-0[115-0[175.1]235-2[295-4| 355-0 [416.0 
50/56.0116.0 176. 10236.2 296.4356047. 0 
$7137-0[117.0|177.1]237-2|297-4| 357-0 |418.0 
z0158.0[118.0|178.1|238.2|298.4| 358-7 1419 0 
99159-01119.0[179.11239.2|299.41j 359-7 [420-0 


Equation ſubtracti ve. 


6— — 


.o 1.9] 241 2.60 3. 35| 39 
WE ; 


| | 
D.] 9 

BY eee wn avid ce ; e M 
IM | Miles | Miles | Miles | Miles | Miles | Miles | Miles | Miles. 1 
ww ha Ca 30 
© 542.2603. 1664. 1725.3 [786.6 848.5 [910.5 972.8 31 
1543.3 [604-1]665.1 [726.4 [787-9 [849.5 [911.5 973.8 . 
2 544.3605. 1666. 1727.4788.9850.6 912.5 974.8 33 
3 [545.3 |6506.1|[667.1 | 728.4 [789.9 [851.6]913.6| 975.9 34 
4546.3 [607.11668.1 | 729.4 [790-9 [852.6 914.6| 976.9 35 
5 [547-3 [008.2 [669.2 | 730-5 [792-0[853-7 [915.7 | 978.0 36 
6 |548.3 [009.2 [670.2 | 731.5 [793-0 [$54.7 [916.7 | 979.0 * 
7 [549.3 [610.2 [671.2 | 732.5 [794-0 [855.7 917.7 | 980.0 5 
8550.3 [611.2 |672.2| 733.5 |795-0[856.8]918.8] 981.1 39 
9 [551-4 612.2 673.2 734.6 796.1857.8 [919.8 982.1 40 
[10 552.40(613.2 67437356 [797108589 920.8 983.2 41 
17 553-4 [014-2[675.3]736.6 |798-1[859.9|921.9] 984-2 1 
12 [554-4 |615-3]676.3|737-61799-1|861.0]922.9] 985.2 #5 
13 [555-4 [616.3 677.3 | 738.7 S800. 2862.0 923.9 986.3 +4 
14 [556.4 [617-3]678-3 | 739-7 801.2 863.0 [925.0 987.3 45 
15 [557-4 [618.3 679.474.7802. 2864. 1926.0 988.4 46 
16 [558.4 [619.3 [680.4 | 741.7 [803.2 | 865.1 [927.0| 989.4 1 
17 559.4620. 3681.4 | 742.8 | 804.3 | 866.1928. 1 990.4 + 
18 [560.5 [621.3 [682.4 | 743.8 |[805.3]857.2 [929.1] 991.5 49 
19 561.5 [622.468 3.4 744.8806. 3868.2 |930.1| 992.5 50 
20 [562.5623 4684.5 745.8807. 3869.2 931.2 993-6] Fl 
21 1563.51624-4 [635.5 | 746.9 | 808.4 |870.3 [932.2 | 994-6] 4 
22 564.5 [625.4686.5 | 747.9 809.41871.3 933.2 995-6] 15 
23 [565.5 626.468 9.5 | 748.9 [810.4 [872.3 | 934-3 995.7 24 
24 566.6 627.4 |688.5 749-9 811.4 873-4 935-3 997-7] [53 
25 567.6 628.5 [089.6 | 751.0 [812.5 [874-4 [936.3 998.8 [? 
26 [568.6 |629.5 [690.6 | 752.0 |813.5 [875.4 [937.4| 999.8 34 
27 569.6630. 5 [691.6 | 753.0 [814.5 |876.5 [938.4 | 1000.8] ; 
28 570.6 631.5 692.6 7 54-0 815.5 877.5 939.4 | 1001.9 39 
1574-6 633.5 [093-6 755-1 [816.6 fas. 940.5 158 — 
Equation ſubtractiue. hg 
4-1-5 4-01 - $3155 e Gee! 6.8] 7:3 ba 


Table of Meridional Miles, 


g | 10 


Miles 


094-7 
095-7 
696.7 
697.7 
698.7 
699.8 
700.8 
701.8 
702.8 


704.9 
/05+9 
706.9 


710 o 
711.0 
712.0 
713.0 
714.1 
715.1 
716.1 
717.1 
718.2 


720.2 
721.2 
722.3 
723˙3 


724˙3 


3 


707.90 
708.9 


12 


703. 8 


719 2 


3 


| 
s | Miles 


817.6- 
818.6 
819.6 
820.7 
821.7 
822.7 
823.7 
824.8 
825.8 
826.8 
827.9 
828.9 
829.9 
831.0 
832.0 
833. 0 
$34-1 
835-1 
836.1 
22 
838.2 
839.2 
840.3 
841.3 
842.3 
843-4 
844.4 
845-4 
840.5 


847-5 


14 


— — 


Miles 


879 6 
880.6 
881.6 
882.7 
883.7 


884.7 
885.8 
886.8 
887.8 
888.9 


889.9 
890. 
892.0 
893.0 
894.0 
895.1 
896.1 
897.1 
898.2 
899 2 
900. 2 
901.2 
902.3 
903.3 
904.3 


905-4 


906.4 


907-4 
908.4 
9095 


Miles. 

1004.0 
1005.0 
1006.1 
1007.1 
1008.1 


1009.2 
1010. 2 
1011.3 
1012.3 


1013.4 


1014.4 
1015 ˙4 
1016.5 
1017.5 
1018.6 
1019.6 
10835 
1021.7 
1022.7 
1023.8 
1024.8 
1025.9 
1026.9 
1028.0 
1029.0 


LE m—o——_—_—_ 


1030 1 
1031-1 


1032.20 


1033.2 


1934-3 


Equation Jjubtrafive. 


43] 47] 52] 57] 6-1] 67] 69] 7-4 


— 


F. 2 


Table of Meridional Miles. 


S 


= 


\O Ow EY POR ta o | 


_ 


18 


Miles. 


1098.2 
1099.3 
1100. 3 
11014 
1102.4 


IP 


Miles. 


1161.5 
1162.5 
1163.6 
1164.7 
1105.7 


1103.5 
1104.5 
1105.6 
1106.6 
1107.7 
1108.7 
1109˙8 
1110.8 
1111.9 
1112.9 


1114. 0 
1115.0 
1116.1 
1117.1 
1118.2 


1119.2 
I120.3 
1121.3 
1122.4 
1123.4 


1124.5 
1125.5 
1126.6 
1127.0 


1128.7 


1166.8 
1167.8 
1168.9 
1170. o 
1171. 0 


1172.1 


1173.1 
1174.2 


1175.2 
1176.3 


1177-4 
1178.4 
1179.5 
1180. 5 
1181.6 
1182.7 
1183.7 
1184.8 
1185.8 
1186.9 
1188.0 
1189. 0 
1190.1 
1191.1 
1192.2 


20 


Miles. 


1289.2 
1290. 2 
1291.3 
1292.4 
1293.5 
1294˙5 
1295.6 
1296.7 
1297.8 
1298 8 


1299-9 
1301.0 
1302. 
1303.1 
1304.2 
1305.3 
1306.3 
1307.4 
1308.5 
1309.6 
1310.6 
1311.7 
1312.8 
1313.8 
1314.9 
1316. 0 
1317-1 
1318.1 


1319.2 
1320. 3 


; — 
. 


23 


— 


Miles, 


1418.7 
1419.7 
1420.8 
1421.9 
14230 


1424.1 
1425.11 
1426.2 
1427.3 
1428.4 
1429.5 
1430.6 


1431.7 
1432.8 
1433. 

1434 

1436. 

1437-1 
1438.2 
1439-3 
1440. 

1441.5 
1442.6 
1443-7 
1444.8 
1445-8 
1446.9 
1448.0 
1449-1 


[1456-1 


* 


Equation ſubtractive. 


8.3 | 


| 34 


8-5 [ 89] 9-4] 


Table of Meridional Miles. 


Miles. 


— 
1129.7 
1130.8 
1131.8 
1132.9 
1134.0 
1135.1 
1130.1 
111372 
1138.2 
111325 
1140.3 
1141.4 
1142.4 
1143-5 
1144.6 
1145.6 
1146.7 
1147+7 
1148.8 
1149.8 
1150.9 
1152.0 
1153-0 
111541 
11551 
1156.2 
1157. 2 
1158.3 
1159-4 
1160.4 


ot 


Miles. 


1193-2 
1194-3 
1195.4 
1190.4 
1197.5 
1198.5 
1199.0 
1200.7 
1201.7 
1202.8 


1203.9 
1204.9 
1200.0 
1207.1 
1208.1 


1209.2 
1210.2 
1211.3 
1212.4 
1213.4 
1214.5 
1215.5 
1216.6 
12177 
1218.7 
1219.8 
1220.9 
1221.9 
1223.0 
1224.1 


20 


Miles. 


1257.1 
1258.2 
1259.2 
1260.3 
1261.4 


1202.4 
1263.5 
1264.6 
1265.6 
1266.7 
1267.8 
1268.8 
1269. 9 
1271. 0 
1272.1 


1273-1 
1274-2 
1275-3 
1270.3 
1277.4 
1278.5 
1279.5 
1280. 6 
1281.7 
1282.7 


1283.8 


1284.9 
1286.0 
1287.0 
1288.1 


Miles. 


1321.4 
1322. 4 
1323.5 
1324.6 
1328.7 
1326.7 
1327.8 
1328.9 
1330.0 
1331.0 


1332.1 
1333.2 
13342 
1335.2 
1336.4 
1337+5 
1338.0 
1339-7 
1340-7 
1341.8 
1342.9 
1344-0 
1345.0 
1346.1 
1347-2 
1348.3 
1319˙4 
1350.4 
1359-3 
1352.6 


Equation ſubtradive. 


— 


8.7 


222 


Table of Meridional Miles. 


a — 
— M.A 8 3 = 


2 


lo ww O HE eo 


10 


24 


— . — 


Miles. 


1484.1 
1485.2 
1486.3 
1487-3 
1488.4 
1489.5 
1490. 6 
1491-7 
1492.8 
1493-9 
1491.8 
1496.1 
1497 · Z 
1498.3 
1499-4 
1500. 5 
1501.6 
1502.7 
1503.8 
1504.9 
1506 0 
1507.1 
1508.2 
1509-3 
1510.4 
15115 
1512.6 
1513.7 
1514.8 


i 


25 


Miles. 


1550.0 


1551.1 
1552.2 
1553˙3 
* 
1557˙5 
1555.6 
15577 
I558.8 
1559-9 
I501.0 
1562.1 
1563.2 
1564.3 
1565-4 
1566.5 
1567.6 
1568.6 
1569.8 
1571. o 


1572.1 
I 573-2 
1574-3 
1575-4 
15705 
1577-0 
1578.7 
1579.8 
1580.9 
I582.0 


_ 


26 


Miles. 


1610.5 
1617.6 
1618.7 
1619.8 
1620.9 


622. 
1623.2 
16243 
1625.4 
1626.5 
1627.6 
1628.7 
1629.8 
1631.0 
1632.0 
1633.2 
1634.3 
1035-4 
1636.5 
1037-7 
1638.8 
1039-9 
1041.0 
1642.1 
1043.2 


1044-3 
1945-5 
1640.6 
1647˙7 
1648.8 


27 


Miles. 


1683.6 


1684.7 
1685.8 
1686.9 
1638.0 


1089. 
1690.3 
1091.4 
1692.5 
1693.6 


1694.8 
1695.9 
1697.0 
1098.1 
1699.3 
1700.4 
1701.5 
1702.6 
1703.8 
1704+9 
1700.0 
1707.1 
1708.3 
1709-4 
1710.5 
1711.6 
1712.8 
1713.9 
1715.0 
1716.1 


28 


Miles. 


1751-2 
1752.3 
17534 
[754-0 
07557 
1750.8 
1758.0 
1759-1 
1760.2 
1761.4 
1702.5 
1763.6 
1764.8 
1705-9 
1767.0 
1768.2 
1769.3 
1770. 5 
1771.6 
1272.27 
17739 
1775-0 
1776.1 
1777.2 
1778.4 
1779:5 
1780.6 
1781.8 
1783.0 


| 1784.1 


N 
o 


» 00," 


Equation ſuòtractiwe. 


10.6 | 10.9 | 114 119 12.2 12.6 130 


Table ef Meridional Miles. 


223 


26 


Miles. 


1049-9 
1651.0 
165 2.2 
1053-3 
1654-4 
1055.5 
1656.6 
1057.8 
1058.9 
t 660.0 
1661.1 
1662.2 
1663.4 
1664.5 
1665.6 
1666.7 
1667.8 
1669.0 
1670.1 
1671.2 
1072.3 
1673.4 
1674.6 
1675.7 
1676.9 
1078. O 
1679.1 
1680.2 
1681.3 


1 


27 


Miles. 


1717 
1718.4 
719˙5 
1720.7 
1721.8 
1722.9 
1724.0 
1725.2 
1726.3 
1727.4 
1728.6 
1729.7 
1730.8 
1731.9 
1733.1 
1734 2 
1735˙3 
1736.5 
1737-0 
1738.7 
1739-9 
1741. o 
1742.1 
1743-2 
1744-4 
1745+5 
1746.6 
1747-8 
1748.9 
1750.0 


28 


—̃ä Ü ͤ»ͤů8ͤ —ʒĩd 


Miles. 


1785.2 
1786.4 
1787.5 
1788.6 


1790.9 
1792.1 
1793.2 
17943 
1795˙5 
1796.6 
1797.8 
1798.9 
1800.0 
1801.2 


1802.3 
1803.5 
1804.6 
1805.7 
1806.9 
1808.0 
1809.2 
1810.3 
1811.4 
1812.6 


1813.7 
18 14.9 
1816.0 
1817.2 
1818.3 


1289.8 [18 


1871.1 
1872.2 
1873.4 
1874-5 
1875.7 
1876.8 
1878.0 
1879.2 
1880.3 
1881.5 


1882.6 
1883.8 
1884.9 
1886.1 
1887.2 


30 


Miles. 


1923.1 
1924.3 
1925.4 
1926.6 
1927.8 
1928.9 
1930.1 
1931.3 
1932.4 
1933.6 
1934.7 


58119359 


1937.1 
1958.2 
1939-4 
1940.5 
1941.7 
1942.9 
1944-0 
1945-2 
1940-4 
1947-5 
1948.7 
1949-9 
I951.0 
195 2.2 
1953-4 
1954-5 
1955-7 


1950-9 


Equation ſubtractive. 


11.6 | 


12.1 | 


12.4 | 


12.8 


13.2 


1 


110 


Table of Meridional Mil g. 


= | 


_— 


lo cw own [aww mol 


122 


32 


Miles. 


2028.4 
2029.6 
2030.7 
2031.9 
2033-1 
2034-3 
2035.5 
2036.7 
2037.8 
2039.0 
2040.2 
2041.4 
2042.0 
2043.8 
2044.9 


2049.1 


2047.3 
2048.5 
£049-7 
2050.5 
2052.0 
205 3.2 
205 4.4 
2055.6 
2056.8 


2258.0 


2059.1 
2000.3 


8 [2061.5 


2062.7 


33 


Miles. 


2099.0 
2100.7 
2101.9 


2103-1 


2104.3 
2105.5 
2106.7 
2107.9 
2109.1 
2110.3 
2111 5 
2112.7 
2113.9 
2115•1 
2116.3 


— — 
2117.5 
2118.7 
2119.8 
2121.0 
2122 2 


2123.4 
2124.6 
2125.8 
2127.0 
2128.2 


2129.4 
2130.6 
2131.8 
2133.0 


j 


2134.2 


34 


Miles. 


— ——_—— 


2171.8 
2172.7 
2173-9 
2175.1 
2176.3 


2177.5 
2178.7 
2180. o 
2181.2 


2183.6 
2184.8 
2180.0 
2187.2 
2188.4 


2159.0 
2190.8 
2:92.9 
2193.3 
2194 
2195-7 
2196.9 
2198.1 
2199.3 
2200. 5 
2201.7 
2203.0 
2204.2 
22054 
2206.6 


| 


2132.4 


35 


36 


— ﬀ — —— 


Miles. 


2318.0 
319-3 
2320.5 
2321.7 
2323.0 
2324-4 
2325-2 
2326.7 
23279 
2329.2 
2330.4 
2331.6 
£3329 
2334-1 
23383 
2330.6 
2337.8 
2329.0 
2340.3 
2341-5 
2342.8 
2344-0 
2345+3 
2340.5 
2347.8 
6349-0 
2350.2 
235 1.5 
235 2.7 
2334-0 


Equation ſubtractiwe. 


13-4 | 


13.8 | 


14.21 143] 15-0] 15.3f 15.7 


Table of Meridional Miles. 225 


31 32 | 33 34 35 36 37 


— — 1 ——— '. —- — ñ 1 — oem een 


Mile. | Miles. | Miles. | Miles. | Miles. | Miles. | Miles. 


1993-1 |2003.9 [2135-4 | 2207.8] 2281.0|2355.2 |2430.3 
1994-3 |2065-12136.6 2209.0 2282.3 [2356.5 [2431.6 
1995-5 | 2006.2 [2137.8 | 2210.2| 2283.5 [2357.7 [2432.9 
1996.6 [2007.4 [2139.0 |2211.4| 2284-7 [2378.9 | 2434.1 
1997.8|2068.6|2140.2|2212.7| 2286.0 | 2365.2 |2435.4 


OO > —— 


1999.0 2009.8 [2141.4 | 2213.9] 2257.2 |2351.4 | 2436.7 
2000.2 [2071.0 [2142.0 | 2215.1] 2288.4 | 2362.7 |2437.9 
2001.3|2972.2 [2143-8 2216.3 2289.7 [2563.9 2439.2 
2002.5 [2073.4 [2145.0 | 2217.5] 2299.9 | 2365.2 | 2440.4 
2003-7 | 2074.0 [2140.2 2218.7] 2292.1 | 2365.4 |2441.7 


2004.9 2075, [2147-4 | 2219 g{ 2293-3 [2367.7 [2443.0 
2006.0 2070.9 |2148.6| 2221.2] 2294.6 | 2368.9 |24 14.2 
2007.2 [2078.1 [2149.8 | 2222.4] 2295.8 | 2370.2 [2445-5 
2008.4 | 2079.3 [2151.0] 2223.6] 2297.0 |2371.4 2446.6 
2009.6 2080.5 [2152.2 | 2224.8] 2298-3|2372.7 2448.8 
2010.7 | 2051.7 [2153-4 | 2220.0 2299.5 | 2373.9 |2449-3 
2011.9 208 2.9 [2154-0 | 2227.2| 2300.7 | 2375.2 | 2450.6 
2013.1 [2034-1 [2155.8 | 2228.5] 2302.0 | 2376.4 [2451.8 
2014.>| 2085. 3 [2157.5 | 2229.7 2303.2 |2377.7 [245 3.1 
2015-4 [2089.5 [2158-2 | 2230-9] 2394-4 |2378.9 [2454-3 
2016.6 2087.7 [2159-4| 2232-1] 2305-7 | 2380.1 |2455.6 
2017,8 [2088.9 [2160.7 | 2233.3] 2306.9 | 2381.4 [2450.9 
2019.0 | 2099-1 [2161.9 | 2234.0] 2308.1 | 2382.6 | 2458.1 
2020.2 [2091.3 |24\63.1| 2235.8 2309.4 | 2383.9 [2459-4 
2C21.3 2092.5 |2164.3| 2237.0] 2310.6 | 2385.1 [2460.7 
2022.5 [2093.7 | 2105.5 | 2238-2| 2311.8 2386.424019 
2023.7 [2094.0 | 2166.7 | 2239.4| 2313-1 | 2387.6 2463.2 
2024.9 2096. 12167.9 2240.7 | 2314.3 |2388.9 | 2404.5 
2026.0 [2097.3 | 2169.1 | 2241-9] 2315.5 [2390.2 | 2405.0 
2027.2 99's 2170.3| 2243-1 a iid 2467.0 


Equation ſubtractiue. 


3.61 14.0 14.3 14.7 15-1] 15.5 15.8] 


Gg 


a IG _ . - 
- —_—  — — — 
* 


Table of Meridional Miles. 


* = 


lo 00 . . 


— 


10 


| 


40 


Miles. 


2622.7 
2024.0 
2625.3 
2620.6 
2627.9 
2029.2 
2630.5 
2031.9 
2633.2 


6 | 2034-5 


2035.8 
2037-1 
2038.4 
2639. 
2641.0 
2042-3 
264 3-0 
2644-9 
2040.3 
2647 6 
26.8.9 
2650. 2 
2651.5 
265 2.8 
205 1.1 


10554 


2656.8 
2558.1 
2059.4 
2000.7 


41 


Miles. 


2701.6 
2702.9 
2704.3 
2705.0 
2706.9 
2708.3 
2709.6 
2710.9 
2712.2 
2713.6 
2714.9 
2716.2 
2717.5 
2718.9 
2720.2 
2721.5 
2722.9 
2724.2 | 
2725.5 
2726.9 
2728.2 
2729.5 
2730.8 


FP 


Miles. 


2781.7 
2783.1 
2784.4 
2785.8 
2787.1 
2788.5 
2789.8 
2791.2 
2792.5 
2793.8 
2795.1 
2799.5 
27919 
©7993 


2800.6 


2802. 0 
2803.3 
2804.7 
2800.0 
2807.4 
2508.7 
2810.1 
2811.4 


2732.2 [2812.8 


2 33˙5 
2734.8 
2736.2 
?2731+5 
2738.8 
2740.2 


2814.1 


— — — 


2815.5 
2216.8 
2818.2 


2819.5 


gt 


43 


—— 


Miles, 


2503.1 
2864.5 
2865.8 
2807.2 
2868.5 


2570.0 
2871.3 
2872.7 
2874.1 
2875-4 
2876.8 
2878.2 
2879.5 
2880. 
2882.3 


2883.7 
2885.0 
2886.4 
2887.8 
2889.2 
2890.5 
2891.9 
2893˙3 
2894˙7 
2896.0 
287-4 
2898.8 
2900. 2 
2901.5 
2902.9 


9 2963.9 


44 


— 


Miles. 


2945. 
2947 · 2 
2948.6 
2950. o 
2951.4 
2952-8 
2954-2 
2955.6 
2957.0 
2958.4 
2959.8 
2901.1 
2902.5 


2905.3 
2960.7 


2958.1 N 


2969.5 


2970.9 


2972.3 
297 3+/ 
2975-1 
2970.5 
297/49 


2979-3] 
2980.7 


2982.1 
2983.5 
2984.9 


2980.3 


Equation ſubtracti ve. 


16.0 


16.4 


16.7 


17.0 


17.4 


17.7 


1 


wm 1 22 2 2. , K > 4 | + - . + | oo > Www ww i Wa ww wi 


18.0 


Table of Meriatonal Miles. 227 


—— — 


| 
9. 38 39 | 40 n19 148-1 44: 


— —— 1 —ͤ—e—o 


— — . — 1 —ę—u — 


M | Miles. | Miles. | Miles. | Miles. | Miles. Miles. | Miles. 


30 2506.5 [2583.7 |2062.0|2741.5 [2822.3 2904.3 2987.7 
312507. 8 [2585.0 2663.3 2742.9 2823.6 2905. 2989.1 
32 2509.0 2586.3 2664.6 2744.2 [2825.0 |2907.1 12990. 5 
33125 10.3 2587.6 2666.0 2745.5 [2826.3 2908.4 [2991.9 
34 | 2511.6 2588.9 2667.3 2746.9 [2827.7 | 2909.7 [2993.3 
35 | 2512.9|2590.2 [2008.6 2748.2 [2829.0 |2911.2 | 2994.7 i 
3625 14.2 2591.5 [2669.9 2749.5 [2830.4 | 2912.6 |2996.1 
37| 2515.4 [2592.8 2671.2 2750.9 [2831.8 2914.0 | 2997.5 
138] 2516.7 [2594.1 [2072.5 2752-212833-1 2915.3 |2998.9 | 
39] 2518.0[2595.4|2073-9 [2753.5 [2834.5 [2916.7 | 3000.3 
40 | 25 19.3 2590.7 [2075.1 2754.9 [2835.8 [2918.1 |3co1.8] | 
41 | 2520.6|2598.0 |2676.5 [2756.2 2837.2 |2919.5 | 3003.2| 1 
42 | 2521.8]2599.3 2677.8 [2757.6 [2838.6 2920.9 3004 6 
43 | 2523-1 |2600.6 2579. 12758.9 2839.9 [2922.3 | 3006.0 
44| 2524.4 |2601.9 |2080.5 | 2760.2 [2841.3 |2923.6 | 3007,4 
145 | 2525.7 2603. 2 |2681.8 [2701.5 [2842.6 2925. 0 3oc8.8 
46 | 2527.0 2604. 5 2683-1 2762.9 2844.0 |2926.4 | 3010.2 
47 | 2528.3 | 2605.8 2684.4 2764 3 [2845.4 |2927.8 | 3011.6 
48 | 2529 5 |2607.1 [2685.7 [2765.0 2846.7 [2929.2 3013. o 
49 | 2530.8 | 2608.4 | 2087.1 [2766.9 238 1 [2930.6 | 3014.4 
50 25 32. 112609. 7 |2688.4 | 2705.3 [2849.5 |2932.0 | 3015.8 
51 | 2633.4 |2611.0|2689.7 |2769.6|2850 8 | 2933-3 | 3017-2 
52\| 2534.7 [2612.3 |2691.0|2771.0 [285 2.2 [2934.7 | 30i8.7 
53| 2536.0 2613.6 2692.3 |2772.3|2853-6 |2936.1 | 3020.1 1 
542532226149 2693.7 [2773-7 [884.9 9325 [O21 55 3 
55 | 2538.5 2616.2 2695.0 2775. 0 [2856.3 2938.9 3022-9 
56 2539.8 2617.5 [2696-3 2770.428577 [2940-3 | 3024-3 
37 | 2541.1 |2618.8 [2697.6 [2777.7 |2859.i | :941.7 | 3025-7 
58] 2542.4 | 2620.1 [2699.0 | 2779.0 | 2500.3 | 2943.1 | 3027-1 

m"_ 2700.3 | 2780.4 | 2861.8 [2944.4 | 3928.5 
| 


= 
A 


Equation ſubtrattive, 


| 16.2} 16.6 16.9| 17.2] 17.60] 17.8| 18-2 
— — — —ñ—2— — — — i ennn———_ 


Gg 2 


Table of Meridicnal Miles. 


IO 


Miles. 


3030.0 
3031.4 
3032.0 
30342 
3035.6 
3037.2 
3038.4 
3039.8 
3041.3 
3042.7 
3044-1 
3045+5 
3047-0 
3948.4 
3049.8 
305 1.2 
305 2.6 
3954-1 
305 8.5 
30 6.9 
3958.3 
59397 
3001.2 
3002.6 
3064.0 


3005.4 


3066.9 


3068.3 
3069.7 
N 


* 


Miles. 


3202.8 
3204.2 
3205.7 
3207.2 
3208.6 
3210.1 
3211.6 
3213.0 
3214+5 
3216.0 
3217.4 
3218.9 
3220.4 
3221.9 


3223.3 


48 


Miles. 


3291.6 
3293˙ 
3294.6 
3296.1 


32275 


3299˙0 
3300. 5 
3302. 
3303˙5 
3305. o 
3300.5 
3308.0 
39 
3311.0 


3312.5 


>224.8 
3220.3 
3227.7 
3229.2 
3230.7 
3232-2 
3233-0 
3235-1 
3236.6 
3238.1 


. 
3241. 0 
32425 
3244-0 
3245+) 


3315-0 
3315˙5 
3317.0 
3318.5 
3320.0 
3321.5 
3353-1 
3324.0 
3326.1 


ay - 


* * LP Bo 

3329.1 
3330.6 
3332•1 
3333.6 
3335˙1 


| 


49 


Miles. 


— — —— 


3382.1 
3383.6 
3385.2 
3386.7 
3388.2 


3389.7 
3391.3 
3392.3 
3397˙3 
3395+9 
3397-4 
3398.9 
3400.4 
3402. o 
3493-5 
3405 0 
3400.6 
3408.1 
3409.6 
3411.2 
3412.7 
341.2 
3415.6 
3417+3 
3418.8 
3450-4 
3421-9 
3423-5 
3425-0 
3420-5 


—— 


Equation ſubtractive. 


18.3] 18.7 | 19.0 19:3] 19.6| 19.9 | 


50 


—  — ö  —— — 


Table of Meridional Miles. 2 29 | | 


| | 46 | 48 i 
D.] 45 4 47 4 49 50 51 


ee e Smoom aw. 


M | Miles. Miles. | Miles, Miles. Miles. Miles. | Miles. 


zo |30972-6|3159-0 | 3246-9 3336-6|3428.1|[3521.413616.8] 
31 [3074-0 | 3160.4 | 3248.4 |[3338-1|3429.6|3523.0[3618.4] 
32 3975-4 | 3161.9] 3249-9 [3339-0 |3431-2[3544-6 [3620.0 
333076 913163+3| 3251-4 [3341-1 [3432-7 |3526.13021.6 
[34 [3978-3 [31648 | 3252-9 | 3342-7 | 3434:2|3527+7 [3623-2 
35 [3979-7 3166.2 3254-4 |3344+2 | 3435-8 3529.3] 3024-8 0 
36 [3081.1 |3167.7 | 3258-8 [3345-7 [3437-3 [3530.9 3026.4 | \1 
37 |3<82.5 | 3169.1] 3257-3 [3347-2 3438.9 3532.4 3628.0 9 
38 | 3084.0 3170.6 3258.8 3348.7 3440. 43534. | 3629.6 1 
393085.4/3172.1 3260.3 335.1 3442.038286 [3631.3 


[49 3986.9 |3173+5 3261.8[3351+7 |[3443-51|3537-2 | 3632. ol ( 
41 [3088.3 |3175.0| 3263-3 [3353-2 | 3445-0]3538.8 [3634-5 1 
42 3089.7 | 3176.4 | 3264-7 [3354-8 |3446.6|3540.3| 3636.1 | 
43|3091.2[3177.9| 3266.2 [3350-3] 3448.103549 | 3637-7 
44 [3092.6 13179-3| 3267-7 [3357-5 | 3449-7 [3543-5 [3939-3 
45 [3094-0 [3180-8 3269.2 [3359-3 [3451-2 [3545-1 | 3640-9] 
4613095 5 |3182.3| 3270-7 [3300 8]3452.81|3544.7 [3642.5 
[47 [3095.9 [3183.7 | 3272-2 [3302-3 3454-3|3548-2 | 3644-2 
148]3098.3 | 3185.2] 3273-7 |3303-913455-9|3549-8] 3645-8 
49 |3099.8 [3186.6] 3275.2 [3305-4 |3457-4|3551-4 | 3647.4 
lso]3101.2 [3188.1] 3276-6 |3300-9|3459.0]3553-0 3649. 0 
51 [3102.6|3189.6] 3278-1 3308.4 | 3460-5|3554-6 | 3650.6 
[52 [3104-1 [3191.0 | 3279-6|3309-9|3462.1|3550.2 [3652.3 
53]3105-6|3192.5| 3281.1 [3371-5|3403-0|3557-7 [3653.9 
5413107.9|3194-0 3282.6 3373-0 | 3405.2 3559-3 3655-5 
5 | 3108-4 | 3195-4 | 3284-1 [3374-5 [3466.7 [3560.9 [3657-1 
56]3109.8 3196.9 3285.6 77. 922715 28. 
5713111.2 3198.4 3287.1[3377-0|3469.8] 35 2 3660.4 
58 [3112.7 | 3199.8 3288.6[3379-1 | 3471-4 356 5.7 | 3662.0 
59 [3114.1 |3201-3 3290. 13380. 63473. 0 3567-3 3663.6 


Equation ſubtræcti ve. 


- 18.5 | 18.8] 19.1] 19-5] 19:8] 2. 20.3 


PR * — as 1 4 
— — — — 


Table of Meridional Miles. 


Miles, 


3065.2 
3666.9 
3668.5 
3070.1 
3671.7 


— — ——  —— 


3673-4 


| 53 
| mas 


Miles. 


3703-8 
3765-5 
3767.1 
3768.8 
3770.4 
3772.1 
3773.8 
3775 ·4 
3777-1 
3778.8 


3780.4 
3782.1 


3783.8 


4 1375-5 


3787-1 
3788.8 


3790. 5 
3792.1 


6 3793.8 


328555 
37972 


3798.8 
3800.5 


3802.2 
3803.9 
3805.5 
3807.2 
3808.9 
3810.6 


| 54 


— — — 


Miles. 


3804.7 
3866.4 
3868.1 
3869.8 


2873-2 
3874.9 
3876.6 
3878.3 
3880.0 
3881.7 
3883.4 
3885.1 
3886.8 
3888.6 
3590.3 
3892.0 
3893-7 
3895.8 
3897-1 
3898.8 
3900.5 
3902.3 
3904.0 
3992-7 
3907-4 
3909.1 
3910.9 
3912.6 


39143 


3871.5 


55 


Miles. 


3968.0 
3909.7 
3971-5 
397 3+2 
3975-0 


3976.7 


3978.5 
3980.2 


3982.0 
3983 7 
3985-5 
3987+2 
3989.0 
3990.7 
322255 
3994-2 
3996.0 
3997-7 
3999˙5 
4001.3 
4003. o 
4004.8 
4000.5 
4008.3 
4010.0 


4011-8 
4013.6 
40153 
4017.1 
4018.9 


| 


4 


56 


Miles, 


4073+9 
4075+7 
4077+5 
4079+3 
4081.1 
4082.9 
4084.7 
4086.5 
4088.3 
4090.1 


4091.9 
409 3+7 
4095+5 
4097+3 
4099-1 
4100.9 
4102+7 
4104.5 
4106.3 
4108.1 


4109.9 
4111.7 
4113+5 
1115.3 
4117.1 
4118.9 
4120.7 
4122.5 
4124.3 
4126.1 


1 


rn 


Equation ſubtractive. 


20:51 er ine 


E. — 


— 


21.2 [21.6] 21.8 22-0} 


Table of Meridional Miles, 


231 


54 


— — — 


Miles. 


3916.0 
3917-7 
3919+5 
3921.2 
3922-5 
3924-0 
3920.4 
3928.1 
3929.8 
3939-5 
3933-3 
3935+0 
3930-7 
3938.5 
3940. 2 


3941.9 
39437 
39454 
3947-1 
3948-9 
3950.6 
3952.3 
3954.1 
3955˙8 
3957.6 


3959-314 


3901.0 
3962.8 
3964-5 
3900.3 


55 


— — — 


Miles. 


4020. 6 
4022.4 
4024.2 
4925-9 
22.7 
1293 
4031.2 
493 3-0 
4034.8 
4036.6 
4038.3 
4040.1 
4041-9 
4043-6 
404 5+4 
494 7+2 
4049-0 
4050.8 
$05 #3 
1284.3 
4050.1 
4957-9 


4059.7 


4061.4 
4063.2 
005 . 
4066.8 
4068.6 
4070.4 
4072.2 


56 


— 


Miles. 
4127.9 
4129.7 


4133-4 


4135-2 
4137-0 
4138.8 
4140.6 
$2423 
4144-3 
4146.1 
4147-9 
4149+7 
4151.6 


4153-4 
4155-2 
4157.0 


4158.8 
4160.7 
4162.5 


4104.3 
4166.2 


4168.0 
4169.8 


4171.7 


| 57 


—k — 


Miles. 


4238.1 
4240. 
4241.8 
1243˙7 
4245.6 
1247.4 
4249˙3 
425 1˙2 
1253˙0 
4254-9 
4250.8 
4258.6 
4260. 5 
4262.4 
4264.3 
4200.1 
4268.0 
4299.9 
4271.8 


4275+5 
4277-4 
$2/9-3 
4281.1 


4173-5 
4175.3 
4177-2 


4179.0 


4180.8 


4284-9 
4280.8 
4288.7 
4290. 6 
142925 


222.54 


4283.0] 4; 


— 


58 


DER 


* | . 
Miles. 


— 4 


4351-3} 
4355.2 
4357-1} 


Equation ſubtrafive. 


20.6] 20.8] 21.1| 21.4| 21.7 21.9 | 22.1 
” , | 


— 


— 


——_ 


Table of Meridicnal Miles. 


— — 


60 


Miles. 


4527-4 
4529-4 
4531-4 
4533-4 
4535-4 
4537-4 
4539-4 
4541-4 
4543-4 
. 


4347-5 
4549-5 
4551-5 


4553-5 
4555+5 
4557-5 
4559-5 
4501-5 [4 
4563.6 |- 
4595-0 
4597-0 
4509.6 
4571-0 


4573.7 


45757 . 
4577-7 [1701.2 
4579-7 
4581.8 
4583.8 
4585.8 


61 


Miles. 


4649- 


4051.3 
4053-4 
4555-5 
4057-5 
4059-9 
4661.7 
4603-7 
4565.8 


62 


Miles. 


4775-0 
4777-1 
4779+3 
4781.4 
4783.5 


5094-0 


5039.5 


64 


Miles. 


5041.7 
50440 
5046.3 
5048.6 
58585 
5053˙2 
5055˙5 
0577 
5060. o 
5962.3 
5066.9 
5069.2 
982 
5073.8 
5076.1 
5078.4 
5080.7 
5083.0 
5085.3 
5087.7 
5099.9 
5092.3 


5099.9 
$099-2 
5101.5 
5103.9 
[Fours 


_— 


ga ana, — OF „ „ü * 


SS. —— , ͤ¶f¶Mr ff. . , df rs 


Table of Meridional Miles. 


— 


++ 14495+5 


59 


Miles. 


4467.8 
4469.8 
4471-8 
447 3-8 
4475-8 


4477+7 
4479-7 
4481.7 
4483.6 
4485.6 
4487.6 
4489.6 
4491.6 
4493.5 


4497-5 
4499-5 
4501.5 
4503.5 
N 
450%. 5 
4509.4 
4511.4 
4513.4 
4518.4 


4517-4 
4519-4 
4521.4 
4523-4 


4525-4, 


60 


i 


Miles. 


4711.6 
1713.7 
4715.8 
4717+9 
47 20.0 


4722.0 
4724 · 2 
4726.3 
4728.4 
47 20 5 
47326 
4734-7 
4736.9 
4739-0 
4741.1 
47432 
4745+3 
4747 +4 
47 49-5 
47517 
4753-8 
4/559 
47<8.0 
4760.1 
4762.3 


4704-4 
4706.5 
4768.6 
4770.8 


4772.9 


62 


63 


Miles. 


4971.6 
4973+9 
4976.1 
4978.3 
4980.6 
4982.8 
4985.1 
4987.3 
4989.6 
4991.8 
4994-1 
4996.3 
4998.6 
5000.9 
5003.1 
5005.4 
5007.6 
5009.9 
5012.2 
5014.4 
5016.7 
5019. o 
5021.2 
50235 
5025.8 
5028.1 
5030.3 
5032.6 
50349 
COJ7+2 


64 


Miles. 


5108.5 
5110.8 
5113.1 
33035 
5117-8 
5120.1 
5122.5 
5124.8 
5127.1 
2. 
5131.8 
$134-1 
5136.5 
5138.8 
5141.2 
5143+5 
5145-9 
5143 2 
5150.6 
$1529 
355533 
5157.6 
5160.0 
5162.3 
5164.7 
5107. o 
5169.4 
5171.8 
51771 


$1795 


Equation ſubtractiwve. 


F 


22.3 | 


22.6| 22.8] 23.0 23.2 23.4 23:6 


wal 


H h 


| 


Fan: — 


Table of Meridional Miles. 


= 


— 


lo 8 8 o 


10 


5330.9 


— — 


Miles. 


5323-0 
5320.0 


5328.5 


5333-4 
5335-9 
5338.5 
5340.8 
5343+3 
5345-7 
5348.2 
5350.7 
5353-2 
5355-0 
5358-1 


5 360.6 
5363.4 
5305.0 
5308.1 
3.3/5 
©373-0 
537$5+5 
9378 © 
5380.5 


8383.8 


$335+5]5 


5388.0 
5389.5 
5393-0 
5395˙5 


| 


68 


— — — 


Miles. 


5030.9 
5633.5 
5636.2 
5638.9 
5941-5 
5044-2 
5646.9 
5649.0 


6565 2.3 


5655. 0 
5657-6 
5660.3 
5663. 0 
5665-7 
5668.4 
5671.1 
5073-8 
5676.5 
5679.2 
5681.9 
5684.6 
5687.3 
5090.0 
5692.8 
56985 
5698.2 
5700.9 
5703-0 
5706.3 
5709.1 


69 


Miles. 


5794-0 


$7974 
5800.2 


5803.0 
5805.8 
5808.6 
5811.4 
5814.2 
5817.0 
5819.8 
5822.6 
5825.4 
5828.2 
5831. 0 
5333-9 
5830-7 
5839-5 
584243 
5545-2 
5848.0 
5850.8 
5853-7 
5850.5 
$8593 
5802.2 


Miles. 


5966.0 


5998.9 
5971.8 
59747 
599777 
5980.0 
5983.5 
5986.5 
5989.4 


9292.46 


$995+3 


5998.3 
6001.2 


6004. 2 
6007.1 


6010.1 
6013.0 
6016.0 
6019.0 
6021.9 
6024-9 
6027.9 
6030.8 
6032.8 
6036.8 


5805.0 
5867.9 
5870.7 
5873.5 


6039.8 
6042.7 
6045-7 
6048.7 
605 1.7 


Equation ſubtractiwe. 


23-7j 23-8] 240] 242| 244] 245 | 246 


_— 


Table of Meridional Miles. 


% 


235 


67 


| 68 


Miles. 


5711.8 
5714˙5 
$7 *7*9 
5720. o 
5722.7 


5725˙5 
5728.2 
5731.0 
5733 ˙7 
5730-4 
$7 39+2 
5741.9 
57447 
$747*5 
5750-2 


5753-0 
5755*7 
5758.5 
5761.3 
5764.0 
5766.8 
5769.6 
5772.3 
5778˙˙¹ 
5777.9 


5 [5780.7 


5783.5 
5786.2 
5789.0 
$7967 


69 


Miles. 


5979-3 
5882.1 
5885.0 
5887.8 


5890.7 


5893.6 
5896.4 
5899.3 
5902.2 
5905•1 
59079 
5910.8 
5913.7 
5916.6 


225 


59224 
5923˙2 
5928.1 
5931.0 
5933.9 
5936.8 
5939-7 
5942.6 
5945+5 


5948-5 


5951.4 
59543 
5957˙2 
5900.1 


5963.0 


"46 


Miles. 


605 4.7 


6057.7 
6060.7 


6063.7 
6066. 5066.7 
6069.7 7 
6072.7 
6075-7 
0078.8 
6081.8 
6084.8 
0087.8 
6090.8 
6093-9 
6099.9 
0099.9 
103.0 
6106.0 
0109.1 
O112.1 
6115.1 
6118.2 
6121.2 
6124-3 
6127.4 
6130.4 
6133-5 
6136.5 
6139.6 
6142.7 


71 


Miles. 


6239-c 0 
6242.2 
6245 ·3 
6248.5 
6251.7 
6254.4 8 
1 

6261.2 

6264.4 
6267.5 
6270.7 
6273.9 
6277.1 
6280.3 
0283.5 
6286.6 
6289.8 
6293.0 
6296.2 
0299-4 | 
6302.7 
0305-9 
6309. 1 
6312.3 
0315.5 
6318.7 
0322.0 
0325.2 
6328.4 
6331.7 


6463-3 


P5308 


72 


= 


Miles. 


6433-2 
6436.6 
6439.9 
0443-2 
6446.6 
0449-9 
0453-3 


6456.6 
6460.0 


6466.7 
0470.0 
047 3-4 
6476.8 
6480.1 


0483-5 
6486.9 
0490-3 
6493-0 

- 497-0 
6500.4 
6503.8 
0507.2 
6510.6 
6514.0 
0517-4 
6520.8 
0524-2 
6527.6 


Equation ſubtractive. 


* 


23.8 


24.0 24-1 | 


24-3| 


24-4 | ; 24.5 | 


24-71 


H h 2 


Table of Meridional Miles, 


= 


= | 


IO 


lo 00 own [+ wn mY 


74 


Miles. 


0745-7 
0749-4 
0753-0 
6756.6 
6760.3 
6763.9 
6767.6 
6771.2 
6774-9 
6778.5 
0782.2 
0785.8 
6789.5 
6793.2 
6796.9 
6800.5 
6804.2 
0807.9 
0811.0 
68 15.8 


6819.0 


9 [0822.7 


6826.4 
6830.1 
6833.8 
6837.0 
6841.3 
6845-0 
6848.7 
0852.5 


75 


Miles, 


6970.3 
6974-2 
6978.1 
6980.9 
— + ag 
6989.9 
5993-6 
6997˙5 
7001.4 
7005.3 
7009.2 
7013.1 
7017. o 
7020.9 
7024.8 
7028.7 
7032.7 
7036.6 
7040.5 
7944-5 
7048.7 
7052.7 
7056.6 
7060.5 
7064.5 
7068.2 
7072.2 
7076.2 
7080.1 
7084.1 


76 


Miles. 


7210.1 
7214.2 
7218.3 
7222.5 
7226.6 
72308 
7234.9 
7239-1 
7243-3 
/247+5 
7251.6 
7255-8 
7260.0 
7264.2 
7268.4 
7272.0 
7276.8 
7281.0 
7285.2 
7289-4 
1.*93*7 
7297+9 
7302.1 
7306.4 
7310.6 
7314˙9 
7319.1 
73234 
1327+7 


e 


77 


Miles. 


740%. 2 
7471.7 
7476.1 
7480.6 
7485.0 
7489.5 
7494-0 
7498.5 
7502.9 
7507-4 
7511.9 
7516-4 
7520.9 
7525 · 4 
7530.0 
75345 
7539.0 
7543·6 
7548.1 
7552-7 
7557-2 
7561.8 
7566.3 
7579-9 
75755 
7580.1 
7584.7 
7589.3 


7593-917 


7598-3 


78 


— — 


Miles. 


77 44-6 


7754-2 
7759-0 
770349 
7708.7 
77735 
7778.4 
7753 · 2 
7788.1 
7793-2 


7797.8 
7802.7 


7507.0 
7812.5 
7817.4 
7822.3 
7827.2 
7832.2 
7937-1 
7842. o 
7847-0 
7951-9 
7856.9 
7861.9 
7866 8 
7871.8 
7876.8 
7881.8 


7886.8 


7749.48 


| 


Equation jubtrafive. 


24-7] 24.8 


24-9 | 


25.2 | 


25.2 | 


25-3] 


25.4 


Table of Meridional Miles. 


D.] 73 74 


Miles. 


30 [6038.5 [0550.2 
31 [6642.0 | 0800.0 
32 16045-5 6803.7 
33 [6649.1 [6867.5 
34 [665 2.6 [0871.2 
35 166506.1 0875.0 
36]16659.7 [6878.7 
376663. 2682.5 
38 [6666.8 6886.3 
39 166-0. 3 |6890. 1 
401657 3.9 6893.8 
4 6677.9 [6897.0 


43 [6684.6 [6905.2 
44 [6688.1 [6909-0 


45 [6691.7 [6912.8 


47 16698.9 [6920.4 
48 [6702.4 [6924-3 
49 [6706.0 [6928.1 
5o[6709.6 [6931.6 
5116713.2 [6935-7 
52 146716.8 [6939.9 
53 [9720.4 [9943-4 
54[0724-0 [6947-2 
55 [0727.6 [6951.1 
56 10731-2 [6954-9 
57 [0734-9 [6958-8 
58 [6738.5 [6902.6 
59 [6742.1 | 6966.5 


75 


— —— — 


Miles. 


7088.1 
7092.1 
096.1 
7100.1 
7104.1 
7108.2 
7112.2 
7116.2 
7120.2 
7124.3 
7128.3 
7132.3 


42668 1.0 6901.4 7136.4 


7140.4 
[144-5 
7148.6 


6916.6 7152.6 


7156.7 
7100.8 
7164.9 
7169.0 
7173-0 
7177.1 
7181.2 


7189.5 
7193.6 
7197 7 
7201.8 


7205.9 


| 


7185.3 


76 


Miles. 


7336.2 
7405 
7344˙8 
7349-1 
735 3:4 
23577 
7302.0 
7366.4 
70. 
[375-0 
1379-4 


7353-7 
7388.0 


7392-4 


77 


— — — 


Miles. 


| 


7603.1 
7607. 7 
7912.3 
7617.0 
7621.6 
7626.3 
7630.9 
7635-6 
7640.2 
7044-9 


7396.8 


7401.1 | 


7405.5 
7499-9 
7414-2 


7418.6 7692. 


7423-0 
7427-4 
7431.8 
7430-2 
7440-0 
7445-0 
7449˙5 
7453-9 


7458.3 
© pet 


— 


Equation ſubtracti ve. 


24.7 24.9 25.0] 25.1] 252 25.3| 25-4 


Table of Meridional Miles. 


| 


hh 


D. 80 81 82 83 84 
M. | Miles. Miles. Miles. Miles. Miles. 
Oo | 837543 8739.1 | 9145.6 | 9605.9 | 1013.0 
1 8381.0 | 8745.5 9152.7 [9614.1 10146.6 
2 | 8386.8 | 8751.9 [9159.9 [9622.4 | 10156.2 
3 | 8392.6 | 8758.3 | 9167.2 | 9630.6 | 10c16;.8 
4 | 8398-3 8704.8 9174-4 | 9638.9 I0175.4 
5 | 8404.1 | 8771.2 | g181.5 [9647.2 10185.1 
6 | 8459.9 8777.7 | 9188.9 ] 9655. 2 | 10194.8 
7 | 8415-8 [8784.1 | 9196.2 | 9663.8 | 102046 
8 | 8421.60 | 8790.6 | 9203.5 | 9672.2 | 102144 | 
g9 | 8427-4 | 5797-1 | 9210.8 9680.6 | 10224.2 
{ 19 8433.3 8803.6 9218.1 9689. 10234. 0 
11 | 8439.1 8810.1 | 9225-4 | 9697-4 | 10243.8 
ſ 12 | 8445.0 | 8816.6 | 9232.8 | 9705.8 | 10253.7 
13 | 8450.9 | 8823.2 | 9249.2 | 9714.2 | 102653.6 
:4 | 8456.8 | 8829.7 | 9247.6 | 9722.7 | 10273. 5 
15 | 84626 | 8866.3 | 9235.0 | 9731.2 | 102835 
16 | 8468.6 | 8842.8 | 9262.4 | 9739.7 | 10293. 
| 17 | $4745 | 8349-4 | 9269.9 | 9748.3 | 103035 
| 18 | 8480-4 | 8856.0 | 9277.3 | 9750.8 10313.6 
Ig | 8486.3 8862.6 | 9284.8 | 9765.4 | 10323+7 
20 8492.3 8869.3 9292.3 9774-0 1033 3+8 
21 8498.2 8875.9 | 9299.8 | 9782.7 10344. 0 
| 22 | 8504.2 8882.0 | 9307.3 9791.3 103541 
| 23 | 8510-2 8889.2 | 9314.8 | 9800.0 10364.3 
24 | 8516.2 | 8895.9 | 9322.4 | 9808.6 | 103745 
25 | 8522.2 | 8902.6 | 9330.0 | 9817.3 | 103848 
| 26 | 8528.2 | 8909.3 | 9337-5 | 9826. 10395.1 
27 | 8534-2 | 8916.0 | 9345.2 | 9834.8 | 104054 
28 | 8540.2 | 8922.7 | 9352.8 | 9843-6 | 10415.8 
29 | 8546.2 | 8929.5 | 9360.4 | 9852.4 | 10420.2 
Equation ſubtractiwe. 
2551 25-5| 25-7] 23.8 25-d 


Table of Meridional Miles; 239 
D. 80 81 82 83 | 84 
M. | Miles. Miles, Miles. Miles. Miles, 
30 8552.3 | 8936.2 | 9368.1 9861.3 10436. 6 
31 | 8558.4 | 8943.0 | 9375.8 9870.1 10447. 
32 | 8504.4 | 8949.38 | 9383-5 | 9879.0 | 10457.5 
33 | 8570.5 | 8956.6 | 9391.2 9887.8 10408.0 
34. 8576.6 | 8963.4 | 9398.9 9896.7 10478.c 
35 | 8582. 8970.2 | 9406.6 9905.7 10489. 
36 8588.9 | 9977-1 | 9414.4 | 9914-6 [104997 
37 | 8595.0 | 8983-9 | 9422.1 9923.5 105 10.4 
38 | 8601.1 | 8999.8 | 9429.9 9932.7 | 10521.1 
39 | _$607-3 | 3997-7 | 9437-8 | 9941-7 | 10531.8 
40 | 8013.5 | 9004.6 | 9443.6 9950.8 10542.6 
41 | 8619.6 [9011.5 | 9453.4 | 9939-8 | 10553-3 
42 | 8625.8 [9018.4 | 9461.3 9968.9 10564.1 
43 | 8632.0 [9025.4 | 9469.1 9978.0 105 74.9 
44 | 8638 2 | 9032.3 | 9477.0 | 9987.2 log85.8 
45 8644.5 | 9939-3 | 9484-9 | 9999.3 | 10596.7 
46 | 8650.7 | 9046.3 | 9492.9 | 10005.5 10607.7 
47 | 8656.9 | 9053.3 | g500.8 | 10014.8 10618.7 
48 | 8663.2 [9060.3 | g508.8 | 10024.0 | 10629.7 
49 | 8669.5 | 9067-3 | 9516.8 | 10033.3 | -10649.8 
5o | 8675.7 | 9074-4 | 9524-8 | 10042.6 10651.9 
gt | 8682.0 | go81.4 [9532.9 [100519 | 10663.0 
52 | 8688.3 | go88.5 | 9540.9 | 10061.3 10674. 1 
53 | 8694.1 [9095.6 | 95489 [1007.6 | 10685. 3 
54 8701.0 | 9102.7 9557.0 | 10080.0 10596. 5 
55 | 8707-3 | 9109-8 | 9565.1 | 10089.4 | 10707.;7 
50 | 8713. 9116.9 | 9573.2 | 10098.9 | 10719-1 
57 | 8720.0 | 9124.0 | 9581.4 | 10108.4 | 10730 4 
58 | 8720.4 [9131.2 | 9589.5 | 10117.9 | 10741.8 
59 | 8732-7 | 9135844 | 9597-7 | 10127.4 | 107533 

Equation ſubtractive. 

EXT REES] ST. RES. 25.8] 


9 4 — I 


* 


240 Table of Meridional Miles. 
D. 85 86 87 88 
M. | Miles, Miles, Miles, Miles, 
| © 10764.7 | 11332-0 | 12522.3 | 13916.6 | 16299.8 
1 | 10776.2 | 11547-0 | 12541.4 | 139454 | 16357.5 
2 10787.7 11561.4 12560.7 13924 4 16416.3 
3 | 10799.3 11575-9 | 12580.0 | 140037 | 16476.1 
_4 |_10310.0 |_11590-5 | 12599.5 | 14033:2 |_16535.0 
5 | 10522.5 | 11605.0 | 12619.1 | 1463.0 | 16594.9 
6 | 10834.2 | 11619.8 | 12638.9 | 14093-0 | 16862.0 
7 | 10845.9 | 11634.5 | 12658.6 | 14123.3 | 16726.2 
8 | 10857.7 | 116049.3 | 12678.5 | 14153.9 | 16791.7 
9 | 10869.6 | 11664-i | 12698.6 | 14184.7 | 16855.; 
10 | 10881.4 | 116791 | 12718.8 | 14215-8}] 16926.5 
11 | 10893.3 | 11694.0 | 12739.1 | 14247-2 | 16990.6 
12 10905. 2 | 11709.1 | 12759.5 | 14278.9 | 17066.9 
13 | 10917.2 | 11724.2 | 12780.0 | 143109 | 17130.3 
14 | 10929.1 11739 4 | 12800.7 [1,343.2 17213.2 
15 | Io941.2 | 117547 | 12821.5 | 14375-8 | 17288.7 
16 | 10953.3 | 117700 | 12842.5 | 14408.7 | 17366.0 
17 | 10965.5 | 11785.4 | 12863.5 | 144419 | 7445-0 
18 | 10977.7 | 11800.9 | 12884.7 | 14475-4 | 175259 
19 | 10989 9 | 11816.4 | 12906.0 | 14509-3 | 17608.7 
20 | 11002.2 | 11832.0 | 12927.4 | 14543+5 | 17693.6 
21 | 11014-5 | 11847.6 | 12948.9 | 14578.1 | 17780.7 
22 | 11026.9 | 11863.4 | 12970.6 | 14613.0 | 17869.9 
23 | 11039 3 | 11879.2 | 129925 | 14648.3 | 17961.6 
24110517 | 11895.1 | 13014.4 | 14683.9 | 18055.8 
25 | '11064.2 | 11911.0 | 13036.6 | 147199 | 181526 
26 | 11076.8 | 11927.1 | 130958.8 | 14756.3 | 18252-3 
27 | 11089.3 | 11943-1 | 13081.2 | 14793-0 | 183549 
28 | 11102.0 | 11959.4 | 13193.8 | 14830.2 | 1840.7 
29 11114-6 | 11975.6 | 13126.5 | 14867.8 | 18569.8 
Equation ſubtraive. 
E: 25.8 | 25.9 | 26.0 | 26.0 | 26.0 


Table of Meridional Miles. 


1 1 


241 
D. 85 86 87 88 89 
M.] Miles. Miles. Miles. Miles. | Miles, 
750. 11127.4 | 11992. 0 13149-3 14905.8 18082.5 
31 | 11140.1 | 12008.4 | 13172.3 | 14944218799. 1 
32 | 111529 | 120249 | 13195.5 | 14983.0 | 18919.7 
33 | 11165.8 | 12041.5 | 13218.8 | 15022.3 190447 
34 | 11178.7 | 12058.2 | 13242.3 | 15062.1 | 191744 
37 11191.7 | 120749 | 13265. 9 [15 102.3 19309. 2 
36 | 11204.7 | 12091.7 | 13289.7 [15 143.0 [194495 
37 | 11217.7 | 12108.6 | 13313.7 | 15184.2 | 19595.8 
38 | 11230.9 | 12125.6 | 13337.8 | 15225-8 | 19748.6 
H 
40 11257. 2 | 12159.9 | 13386.6 [153 10.7 | 20076.4 
41 | 11270.5 | 12177.1 | 13411.2 | 15354.0 | 20252. 5 
42 | 11283.8 | 12194.4 | 13436.1 | 15397.8 | 20483.3 
43 | 11297.1 | 11211.8 | 13461.1 | 15442.1 | 20635.1 
44 | 11310.6 | 12229.3 | 13486.3 | 15487.0 | 20843.5 
'45 | 11324.0 | 12246.9 | 13511.6 | 15532.6 | 21065.4 
46 | 11337.6 | 12264.6 | 135372 | 15578.7 | 21302.5 
47 | 11351.1 | 12282.4 | 13563.0 | 15625.5 | 21557-3 
48 | 11364.8 | 12300.2 | 13588.9 | 15673.0 | 21832. 5 
49 | 11378-4 | 12318.2 | 13615.1 | 15721.0 | 22131.6 
5o | 11392.2 | 12336.3 | 13641.4 | 15769.8 | 22459-3 
51 | 11406.0 | 12354.4 | 13668.0 | 15819.3 | 22821.5 
52 | 11419.8 | 12372.7 | 13694.7 | 15869.5 | 23226.4 
53 | 11433-7 | 123910 | 13721.7 | 15920-4 | 23085.4 
54 | 114477 | 124095 13748.9 | 15972.1 | 2421543 
55 | 11461.7 | 12428.0 | 13776.3 | 16024.6 | 24842.1 
56 | 11475.8 | 12446.7 | 13803.9 | 16077.9 | 25609.2 
57 | 11489.9 | 12465.3 | 13831.7 | 16132.0 | 26598.2 
58 | 11504.1 | 12484.2 | 13859.8 | 16187.0 | 27992.1 
59 | 11518.3 | 12503-1 | 13888.1 16242.9 | 30375 · 

; % 
3 a 
Equation ſubtractive. 

. Wo[ aGof 260 


( 242 ) 


— 


[TABLE XI. Of Minutes or Miles of the Equanr 


, 
contained in every Degree of the Meridian; alſo} 
| Length of any Arc of the Meridian, from the Equa-| 
| tor to the Pole, in the Spheroid. 
Niles Miles | STMiles | Miles | ©] Miles | Mites | 
o@ | in {from E- ſos] in from E- es in | from E. 
o each ] quator 2 each | quator | © | each quator | 
beg. | toany | _[Deg. | to any = Deg. to any 
. e. Im J 
of | Degree |»{ of Degree of | Degree} 
#16 Lat, ſof Lat. | Lat. [of Lat, | | Lat. | of Lat. 
O 0000.00 | 30[59.72 | 1788.26 |60| 3584.88 
1459.55] 9.55 [3x[59-72 1847.985150. 06 3644.94] 
2159.55 119-10 5259.74 1907.72 |62| 60.07 3705.01 
3459.55 178.65 [33] 59-74 | 1967.46 [63] 60.08 | 3765.09] 
4459.55 238.21 134] 59.76'] 2027.22 |64| 60.09 | 3825.18 
5159-55 |_297-76 [35] 59-77 | 2086.99 |65 60.10 | 3885.28| 
6459.55 357-31 [36] 59-77 |2146.76166| 60.11 | 3945.39] 
7159.56 416.87 [37]59.79| 2206.55 [67] 60.11 4005.50} 
859.56 476-44 3859.80 2266.35 6850.73 4065.63 
959.56 536.00 3959.812326. 1669 60. 134125.76 
1952.52 | 595-57 489.82 | 2385.98 2060.14 4185-90} 
1159.57 655-14 [41] 59-84 | 2445-82 [71] 60.15 | 4246.05} 
1259.58 714-72 4259.85 | 2505.67 [720 60.16 | 4306.21 
1359.58 774-30 [43]59-86 | 2565.53 [73] 60.16] 4366.37} 
1459.59 $33-89 4459.872625. 40 |74| 60:17 | 4426.34] 
1559.59 893-48 [4889-88 2685.28 75 60.18 | 4486.72} 
18 59.60 953-08 [4659.89 2745.177660. 18 4546.90 
1759.611012. 69 4759.90 2805. 077760. 19 4607.09] 
1859.611072. 30 [4859.92 2864.997860. 19 4667.28 
119]59.61 1133.91 [49] 59:93 | 2924.92 79160. 20 4727-48| 
2059.63 1191.45 59-94 | 2984-86 | 80 60.20 | 4787.68} 
21 59.63 1251.175110 59.95 | 3044.81 [8160.21 4847-89} 
22]59.64 [1310.81 |52159.96 | 3104.77 |82} 60.21 | 4908.10| 
[23]59-65 [1370-46 |53]59-97 | 3164-74 [83] 60.21 | 4968.31} 
24|39.06 [1430.12 [54[59-99 | 3224-73 [84| 60.22 | 5028.53) 
25159-67 1489.79 |55|60.09 | 3284.73 |8g| 60.22 | 5088.75; 
J26[59.67 15 49.4656 60.00 | 3344-74 |86| 60:22 | 5148.97} 
2759.691609. 15 [57|60.02 | 3404.76 |87| 60.22 | 5209.19 
12859.69 |1668.84 |[58[60.03 | 3464.79 |88} 60.22 5269-41] 
29159.70|1728.54|59}60.04 | 3524.83 8960.22 5329.63 
Jzol5o.72 1788.26 160160 og | 3584.88 [go 60.22 5289.85 


ns 


( 243 ) 


0 v——2 


— —— 


he. 
r * 


1 — 88 


| 
| 
TABLE XII. Of Amplitudes. 


1 3 Degrees of Latitude. 


* 


Finne 
22 © 2 2 $ 12] 2 13] 2 21 
33 3 3] 3 12] 3 18] 3 28] 3 33 

— 82 ** 

44 04 4415/4 25] 4 37] 4 
515 5 55 19] 5 31] 5 405 
56 of6 9 6 23] 6 37 6 56] 7 

| 717 9 7 717 27] 7 43]8 5|8 

8 0 8 [0902409159 
919 © 9 99 35] 9 56/70 2410 


19 19 919 1920 1621 3022 522 


21 [21 g 2122 25/3 18124 275 


Table of Amplitudes. 


Degrees of Latitude. 


Deg. 
o 
Declin. 


UW H w 


43 | 44 


47 


On + 


AA 


1 28 


4 24 


2 56 


1 29 


2 59 
4 29 


5 52 
7 20 


—— 


5 59 
29 


"4 * 19 


10 18110 30 
11 472 © 


13 16 


—— 


13 31 


14 44 
16 15 


17 45 


Is 2 
16 34 
18 6 


19 16 


20 47 
22 18 


23 50 


25 23 
20 57 


— — 


28 32 
30 7 
31 42 
33 18 
34 50 


35 44 


19 39 


21 12 
22 45 


24 20 
25 55 
27 31 


29 7 
30 45 
32 23 


34 3 


—— 


35 43] 
30 31 


— 


13 


* 


Table of Amplitudes. 


— 


Degrees of Latitude. 


52 


53 


54 


mm Ol 
— 


— 
n 
2 
1 


246 


Table of Amplitudes. 


Degrees of Latitude. 


| 
Deg, 
| 


61 


62 


65 


0 


| Declin. 


UW N 


CO 


w 


2 22 
4 44 
7 


7 * 


9 43 
11 42 


10 
12 


4 
13 19 


9 9 
11 28 


13 47 


2 27 


1 55 
7 23 


9 30 
1154 
14 19 


932 


12 22 


14 53 


— 


13 41 
15 41 
17 41 


19 41 
21 43 
23 47 


14 6 
16 10 


20 18 
22 26 


24 34 


18 14 


[15 34 


17 51 
20 


16 8 
18 30 
20 54 


16 45 
19 13 
21 43 


17 26 


20 © 
22 37 


25 54 
"| 


30 12 


26 44 


28 55 
9 


32 22 


34 32 
30 53 


22 27 
24 51 
#7 15 


23 18 


25 48 
28 19 


24 13 
26 50 
29 28 


25 14 
27 58 
30 44 


29 42 


32 12 


34 45 


33 27 
35 47 
33 9 


39 13 
41 37 
44 5 


40 36 
43 12 
45 48 


46 40 


49 21051 24 
50 38052 47 


48 30 


37 23 
10 8 
12 54 


. 


> Lo 
33 30 
36 11 


38 57 


41 49 


44 49 


32 
34 55 
37 40 


40 42 
43 40 
49 59 


9133 34 


36 29 


42 40 
45 58 
49 26 


39 31 


45 49 
48 53 
52 7 


47 57 
5117 
54 58 


6—— 


55 36 


8er 18 


$9 24 


65 22 


58 43 
3 2 


50 23 
54 2 
57 59 


62 26 
67 30 


1? 33 


—— 2 


53 11 
57 14 
OL 47 


67 4 
73 52 


78 25 


_—_— 


5 


— | 


—y * 


Rn SD 


IT > - um ETD EST SS: "OoGCSYST TS = Io” 


(849 } 


[TABLE XIII. Of the Change of Azimuth, which the 
Sun makes, in riſing from the Horizon one Degree of| 
Altitude. 

5 Degrees of Amplitude. © By 
d 13 a 20 | 49 | 50 60 | 65 70 | 76: 4 80. 
ELITES ITT . IZAL TE 
0 O O o 0 2 0 0 0 6 
13 5 6 7 toe 15] ii e yo} 
to] 11 11 144 16] 21 25 31 411 1} 
15 16] 17 21 25 32 38 4713 21 33 
20] 22] 23] 28] 34} 45| 5211 411 24|2 6} 
25 28] 30 39] 43] 57]: 611 2211 48]2 4 
30 35] 37] 45 5411 101 221 41/2 14/3 20 
351 42 45] 551" 24/1 39/2 32 42]4 2 
40 col 531 61181 401 592 2713 14/4 50 
411 532] 35/1 81 216 44/2 3/2 3213 21|5 © 
42 54 57 ( 10Þ1 2411 4812 7/2 3713 286 11 
431 5661 oft 131 271 5212 12 2 433 3605 22 
44] 581 2115] 30 56/2 17/2 493 445 33 
4511 1 41 18]1 332 2 22 2 5513 52/5 45 
Ee 2 
47 1 41 9% 24/392 912 3213 84 916 10 
481 71 11/1 2711 4312 14/2 37 3 15 [4186 23] 
4911 gfx 131 30 47 [2 192 433 224 27637 
1501 12] 161 33] 51/2 24/2 49 3294 366 52 
9 14]1 1911 3611 5512 2912 5513 37 [4 4817 7 
521 17 22-11 4012 O12 3513 213 4512 3/717 23 
5311 20j1 25/1 44/2 42,4053 23 5415 87 40 
541 231 281482 882˙45[3 164 35 200/ 57 
5511 2611 311 5212 132 $113 23415 3218 15 
3 2911 3511 5612 1812 5313 31 42145 4518 34 
57 1331 392 % 24]3 63 394 315 5818 55 
5861 361 4342 512 303 133 4804 42 1209 20 
59 1 401 47 [z 102z 363 2013 5714 5316 26 
601 44|1 51/2 1602 423 2884 65 416 41] 
61]1 48]1 662 212 4913 3514 1515 1619 58]. | 
521 53/2 1/2 2,2 5013 4514 27 5 297 16 
6361 5802 62 343 43 554 395 43]7 35 
442 32 11]2 4113 4214 64 5215 5917 56 

65] 2 918-3738 4017 016 3018 n 

12 1512 2312 5673 2974 305 1906 34 8 43 


243 TABLE XIV. Of Aſcmnſional Difference 


Degrees of Declination. 


is 
> |» 
— 


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wt. — 


1 


[Ju +> + 4 wo wo an a W 8 0 
UU 


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0000001000000 


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0000900 0 


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000000 


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19 8 


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20 


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— 
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22 
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4 TS two O © 12> 38888 


— Ae PRES STS OS 


1 a 1 2 : 


fa |. oo w wm ww ww jw oo © NN © NH | wo ww am w wy 


— — — — — — . + ++ + - 


Sn 
eren MAkeAa« mo os FP OT T—=—=$y 


I 


Table of Aſeenſienal Difference. St 


F Degrees of Declination. 

*| 15 | 16 | 17 | 18 | 19 | 20 214 22 

—k 7h Jh /j|h 7|h T]k Tl Th T7 

5 510 6% 6Jo 7/0 7lo 7lo Bo 86 glo of 

oſo 1100 1210 1210 13/0 14/0 15/0 16[0 16[o 17[o 18 

120 13/0 140 15/0 1600 17/0 1810 190 2000 2100 22 

1410 15/0 16% 17% 190 2000 2100 2200 2300 2400 25 

16]o 1800 190 2010 2100 2310 240 25/0 270 2800 2 

8] 2o[o 21% 22 240 26 27 29e 30% 32 42 

2000 2210 2410 20% 2710 290 zoſe 3210 3400 300 37 

220 2510 2710 2810 zoſo 3210 3410 300 3816 400 41 

2410 2719 2919 3110 3319 3519 3719 3919 41]o 440 46 

2610 3010 3210 3410 300 3910 4110 4310 4510 480 50 | 
26 33/0 3512 3719 4,420 45]0 4710 c 521o 55 

zoſo 3600 380 4010 4310 4619 4g]o 5110 5:10 55]1 5 

% 39% 4119 4410 47 8e, 5310 goſo 5811 241 5 

3410 4219 45% 4819 51]o 5ajo 57]t oft 311 71 10 

36]o 450 48j0 5100 55/0 5811 it 511 81 1211 16 

3800 4800 5210 5510 59% 2[1 61 101 14]1 17 21 

40[o 5210 5600 59/1 31 71 11 15]1 19]1 2311 28 | 
6% 3% — 9 Br 1211 ugh 21fu 9 

. 58x 20/1 6% 11]1 45191 24/1 29/7 33]1 38 

41 oft 46 9 1311 18022] 2711 3211 37/1 42 
511 201 71 1% 1601 2111 25/1 30/1 35/1 401 46 

101 411 0 440 19% 24 29]1 34]1 3 4 e 

711 711 12/¼1 17/1 22J¾1 27/1 32/1 37/1 43/1 481 54 
nenne 

49]1 12/1 17% 22/1 2811 3311 3911 45/1 Sir 572 3 

$011 14451 20] 251 311 37/1 431 49/1 55/2 22 8 

5 171 23/1 29/1 38/1 4111 47]1 5312 2 62 13 

52]1 20[1 2601 321 381 45/1 5111 5812 n 

53]1 2301 29/1 3601 42/1 49/2 56% 2 3/2 10/2 17/2 25 
eee 

1 30/1 37/1 44/1 5111 5802 $12 13/2 21/2 292 33 

613401 4101480 55|2 302 1102 19/2 27/2 3602 45 

$711 37/1 45/1 $212 % 802 16/2 25/2 34/2 432 53 

5811 4211 49/1 5712 52 1412 22/2 3212 41[2 5113 2 

5911 461 54/2 202 11]2 20/2 29]2 392 49j3 3 11 | 
2 5111 5912 82 17]2 26|2 3602 47j2 5813 913 22 | 
biſu 562 5/2 14/2 24/2 34/2 442 5513 713 2503 34 1 
622 112 1102 20[2 3112 41/2 5213 53 183 3213 47 
312 72 27/2 27/2 3802 5003 213 1613 3003 4604 4 | 
64/2 13 2 242 35/2 47/2 5913 1313 283 4401 2|4 24 

65 20 2 322 442 5713 1013 2513 4214 1]4 224 51 

2 28 24112 541; 813 2313 3913 5814 2114 cle 0 


F 
N 
2 
* 
2 
a 
t=© 


E 


* ä 


N 


1 


[TABLE XV, Of the Time in which the Sun riſed 
from the Horizon one Degree of Altitude. 


227] 


Degrees of Deciination. 


| O 


6 2 


12 


D 
20 
2 


+ + r 
i aw =OgoO 
+ + + + Þ 
oO Aw wm 0 0 
+ > > + + > 


+ 
= 

5 
= 


þ> + +> þÞ + + 
O Www 


GW iN N = = 


+ 
oO A 
WW NN ww „ 


+ o» > > + + 
+ 


| 
| 


9 \S I 
N 
2 0 
288 w Yo 
288 


| 


ui 


RAR [IAS ww 
un 
— 


to r OO 0 mn IO w 
888888 

tw 2 
GG 
22 Dd m= 


—N 

* 

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+» 

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co 

Fs 

[0 
O 

K 
80 
+ 0 = Mme 


00 
2 
O 
doo © SW 
"IFD 
Own ww 


da 


— 
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= 
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— 
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tw © Ov Ud Ud | 
+ + + > > +> 


NJ v3 
AY 
&© 
* 
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AY 
+> 
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+» 
8 


A A G 


+ + 


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> ++ >> +> | 


www 0 SAO 6A oc 
A — [ N ww 


5 VI 033 wt 
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tv 
© 


O © © &© 


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8 
CO 

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— 
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— 

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the ON OO = 


O © Own 


OO ww 


— 
Sz 
— 
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DD — = ww wt we 


> 
2 
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eee, 
WH 
ww Ot 
G © 0 mnuunuma pb | + ++ 


wn 
— 
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Sn 
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Wm <0 -w ow 


15 | 18 |} 


tv \O On ws G3 | 


AGG 
ns - 
OO © ON 


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waa 


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a —1 O -» © D 


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+ ww N - 
m þÞ \O Ow 


dd 


SO [oO www wwe 
— 


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— 8 


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1 8 #... 


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> 3 wa fa MH OT. ow” ww 


_— 


( 251 ) 


TABLE XVI. 
For converting Time and Degrees, &c. mutually 


into each other. 


— — 
Time Motion Time [Motion Time Motion 
H. o 1 1 0 I 
/ / #8 #17 '8 
| - ll „ wi = | m#m 
ES: 0 2 15 [ 41 10 15 
3 © 5 30 || 42 |10 30 
kl O 2 45 43 10 45 
4 I o || 44 [11 © 
5 6 15] 45 [12 15 
6 I 6 30 || 46 [11 30 
7 6 45 || 47 [11 45 
| 8 2 7 o|| 48 [12 © 
9 ? 7 I5 | 49 112 15 
10 2 7 3o || 50 [12 30 
11 2 7 45 51112 45 
12 | 3 8 o 213 © 
13 3 8 15 5313 15 
14 3 8 30 [54/13 30 
15 3 8 4555 [13 45 
16 4 9 off 56114 © 
17 4 9 15 | 57 [14 15 
18 4 9 30 58 [14 30 
19 4 9 45 59 [14 45 
20 5 10 off 60 15 © 
21 | 
22 
23 | 
- - A — — ———— 


- — —UU— — RY ns — 2 —— „ —  — — _ —__—_—_— „/ 
” - . 


( 252 ) 


TABLE XVII. Of Refraction. 
By Dr. Bradley. 
App. A App App. 
Alt, Refr. ie Reff. Alt. |Refr. Al, 
jo / / H #-_-& ®. 3#. #F 0 
o 9133 © 5 0 26 |1 560 59 
5] 32 10 4 531] 27 li 511] 60 
11031 22 4 47 28 1 47 61 
1530 35 4 40 29 |1 42 62 
2029 50 4 34\] 30 [ 380 63 
30028 22 4 29 31 % 35/64 
3228 5 4 23 1 31 65 
36127 30 4 16 1 28]] 66 
40]27 © +4 9 12467 
50025 42 4 3 I 210 68 
1 024 29 3 57 1 18]} 69 
1 1023 20 3 51 1 16 70 
12022 15 3 45 I 13]] 71 
1 30|21 15 14 203 40 I 10 72 
1 40]20 18 14 4013 35 1 873 
1 5019 25 15 013 3oſ} 41 [i 574 
2 O18 35 15 303 £40 4* 11 3]0 75 
2 10/7 48 16 03 17} 43 [1 1 76 
2 26017 4 16 3013 1044] 5977 
2 30[16 24 12 93 4|| 45} (7 
2 40015 45 17 3012 59 49 | 55/79 
2 50015 9 18 0ſ2 5447 | 531] 30 
13 9114 360 18 3oſ2 49 48 | 511} 81 
310 4 19 O12 4449 | 49]] 82 
3 2013 34 19 3c|2 39 co | 481] 83 
3 3o0j13 © 20 Oz 35 51 | 46} 84 
3 4012 40 20 3oſ2 31 52 | 44/85 
3 5012 15 oſ2 25 53| 43 86 | 
4 O11 $1 21 3012 24/54 4187 
4.1011 29 22 oſ2 200 55 | 4off 88 
4 29411 8 23 oſ2 140 56 | 38] 8g 
4 3010 48 + ofz 7} 57 | 37 90 
14 4o!10 29 25 olz | 58 | 350 


— s 


| 


("2833 3 


TA. xVIII. 


— — 
* 


. 


— 


Of Depreſ- | TAB. xix. | 
ſion, CY TABLE RX. 
Dip of || Of the Sun's : "v7 
the Ho Parallax Of the Sun's Semidiameter. 
rizon of || in Altt- 
the Sea. || tude. 
O 
i The Sun's 
= || Altit, |Paral. Days Semidia- Days 
5 of the | Meter. a the 
Month. Month. 
£8 o " 22 1 
lo 57 o | 8Z || January 116 19 [31 
1 21 20 ; 11116 19 21 
„„ n= | | Ong 
I 55 45 6 || Februa. 1| 16 17 I Decem, 
2 81] 54 | 5 11] 16 15 [21 
= : OF 21] 16 12 |11 
2 31 69 3 || March 1| 16 11 i Nov. 
2 42 76 | 2 11116 8 21 | 
2 521 83 | 1 21] 16 5 fur 
3 — || April 1| 16 2 p Oct. 
3 18 | 11] 16 o 21 
3 34 21} 15 $7 U¹¹ 
3 49 May 1115 $4 [! Sept, 
4 ; 11] 15 52 [ | 
A. 2115 50 [11 
4 28 June 1] 15 49 |1 Auguſt 
* + 2 1115 48 [21 
e 2115 47 11 
2 6 3 30 [15 47 fi July 
©. 
35 5 39 . 
50 [ 2 From hence it appears, 
45 6 24 that 16 Minutes for the 
0 44 Sun's Semidiameter is ſuf. 
223 ficiently exact for com- 
7 59 mon Purpoſes, throughout 
8 32 the Year. 
9.3 
9 33 


— — 


( 254 ) 


Py 


| TABLE XXI. Of the Sun's Right- Aſcenſion 
Equation of "Time. 
JANUARY. 2 
Leap Year. | Firſt Year. Second Year. | Third Year. 
| 1770 17801773 1777 [1774 1778 | 1775 1779 
| 1784 1788 | 1781 1785 11782 1786 | 1783 1787 
Sun's [Clock | Sun's |Clock | Sun's Clock | Sun's [Clock 
RrAſ-|before | RtAſ-ſbefore | RtAſ-[before | RtAC-|before 
cen.in| the cen. in] the | cen.in| the cen. inſ the 
Lime] Sun. Time] Sun. [Time] Sun. | Time] Sun. 
D F.C NPY 
18 47 18 go] 4 21 |18 49] 4 11 | 18 48 
18 51 18 54] 4 4918 53] 4 43] 18 52 
18 56 18 580 5 17118 58] 5 11] 18 59 
19 © 19 315 44119 21 3 391 49 _ 1 
19 4 19 8]6 1119 76 5 19 6 
19 9 19 12 6 3719 11] 6 32 
19 13 19 177 319 15] 6 58 
19 18 19 217 29119 28] 7 2319 19 
7 7 48 
8 8 12 


* 


and the 


4 


„ 
2222 
* 

—＋ Sy © - 
28822 
wi Ge 


| 


WO NN om 


RW ww &@a ©& 
SOLES) > w 
\© Þ \© > © 
— 2 1 

— + Ow 


19 25] 7 54119 24 
19 30] 8 1819 28 
19 348 4219 33] 8 
19 389 519 37] 8 
19 43] 9 £7119 409 
19 4719 49]19 46] 9 
J 19 51jlo 1019 50/0 4| 19 41 
210 14 | 19 56½0 3019 54/10 2419 53110 19 
6010 3419 6010 5019 59/10 44 | 19 5810 39 
1820 10 5420 41 820 3 
5 
9 


* 


In NS NN S wm we | ww ww wo ty owe | we 


1019 26 


o e 
bh 


* 

43 

= 

\O 

WW 
\O 
O ©o©50 
Un us + 
ww 2 ow 

— 

> 

D 
00 ©© 
11 win 32 
11 5o 


11 12| 20 8011 26120 7/1 21] 20 6/11 16 | 
11 31]20 13j11 44|20 11/11 3920 10111 34 
21|20 14/11 48|20 17/2 020 16011 56]20 15/11 51 
2220 18012 420 21/12 1620 28012 12 | 20 1912 7 | 
2320 22/12 20| 20 25/12 3120 24/12 27 | 20 23112 231 
2420 26012 35 | 20 29/12 45 [20 28012 41 | 20 27/12 38 2 
25 20 30/12 49 20 3312 5820 32012 55 | 20 31/12 52 2 
26|20 35113 2| 20 38113 11020 37113 8| 20 35/13 5 
{ 27 |20 39113 15 | 20 42112 23 |20 410/13 20 20 4$[13 171} 
28 20 43113 26| 20 46113 3420 45/13 32 | 20 44113 29 

2g | 20 4713 37 | 20 50113 4420 49]13 42|20 4813 391 
| 20] 20 $1113 47 | 20 54113 53120 53113 5220 $2113 49 | — 
| 30 355 55013 56 1 5804 2 bes 57114 I ” $0113 58 


| Right- jcenor and Equation of Time. 255 


| 


©.<u of. w wv - | e230 


10 


FEBRUARY. 


Leap Year. 


1776 
1784 
Sun's 
RtAſ- 


cen. in 


Time 


1780 
1788 


Clock 


before 
the 
Sun. 


einn 


Firſt 


1773 
1781 


Year. 


1777 
1785 


Sun's 
Rt Aſ- 
cen. in 
Time 


7 


Clock 
before! 
the 


Sun. 
38 


Second Year, 


1774 
1782 


1778 
1786 


Sun's 
Rt Aſ- 
cen. in 
Time 


Clock 
before 


the 
Sun. 


=” 


— 


3 


20 59 
21 


21 
5 
21 15 


21 


13 50 


I 

14 16 
14 22 
14 28 
I4 32 
14 36 
14 39 
14 41 
14 42 
4 43 
I4 42 
14 41, 
14.39 
14 37 
14.33 
14 29 
14 24 
14 19 
14 12 
148 
13 58 


13 41 
13 31 
13 21 
13 10 
12 59 
12 47 


21 


, 
22 


|< 


21 
21 
21 


1888 wm 


21 


21 21 
21 
21 
21 
21 


| 


14 10 
14 16 
14 19 
14 28 
14 33 
14 37 
14 40 
I4 42 
14 43 


"Thid Year. 


1775 
1783 


1779 
1737 


Sun's [Clock 


Rt Af before 


cen. ĩ 
Time 


the 
Sun. 


WH, 
21 


21 


21 32 


21 30 


py 
4 
d 
21 12 
21 16 
20 


21 24 
21 28 


9. 


14 6 
14 13; 
14 20 
14 26 
14 30 


14 34 
14 37 
14 40 
14 41 
14 42 


21 
21 
21 
21 
21 


22 1 
22 
22 
22 
22 


114 


14 43 
14 43 
14 42 
14 40 
14 38 
14 35 


14 31 
14 26 
14 21 
I4 I5 
8 


22 
22 
22 
22 


22 
22 
22 


16 


21 40 
21 44 
21 48 
21 52 
21 56 
2 
4 


22 
22 
22 
22 
22 


22 
22 
22 
22 
22 


14 42 
14 42 
14 40 
14 38 
14 35 
14 31 
14 27 
14 22 
14 16 
14 9 
14 2 


13 46 
13 37 
13 27 
13 17 
13 6 
12 $5 


13 574 


Hs. lth... AM 


L 


I —— — — 


| 


** — A. A. 4 
* 


256 Right. Abenfon and Equation of Fine. 


OO e 


* 


0 00 o + ww W | 8c 


— 
O 


S 
OO Ow Ojmn A we H w 


80 


1784 

Sun's | 
RtAſ- 
cen.in 
Time 


Year, 
1780 
1788 


WH. 


AI 
22 56 


00000o00cvloo00o0cdHge 
|S) 
+» 


11 39123 6 


MARCH. . 
| Firſt Year. | Second Year. | Third Yezr, 
1773 17771774 1778 [1775 1779 
1781 1785 [1782 1285281 1787 
Sun's Clock Sun's |Clock San's |Clock 
RtAſ-| before | RtAſ- before | RtAſ-|before 
cen.in| the cen. inf the ſ cen. inſ the 
Time] Sun. [Time] Sun. Time] Sun. 
8 h / Py, W 27 by” 
22 51012 36 |22 59112 38 
22 55112 23 |22 54/12 26 
22 59/12 10|22 58/12 13 
23 2/11 57 |23 1012 o 

114323 5|11 46 
23 1loji1 28823 911 32 
23 13011 1323 12j11 17 
23 17]io 58 [23 16011 3 
23 21010 43|23 20010 46 
23 25/10 27 |23 23010 30 
23 28110 11 |23 27[1lo0 14 26110 19 
23 32] 9 54123 31 9 57 hi 
23 35] 9 3723 34] 9 40 9 46 
23 39] 9 20 23 38] 9 23 9 29] 
23 43] 9 3123 42] 9 © | 9.12 
23 46] 8 4523 45] 8 4923 44] 8 54 
23 go] 8 27 [23 49] 8 31 |23 48] 8 37 
23 541 8 923 53] 8 1323 52] 8 18 
23 57] 7 5123 56] 7 55123 553 1 
o 1| 7 33 |23 600 7 36|23 59] 7 42 
o 51714] 0 47 18] © 3] 7 24 
o 81656] o 77 of o 6|7 6 
o 12] 6 37 | 0 11] 6 41 | o 10 6 47 
o 15] 6 18 | © 14] 6 23 © 14] 6 28 
o 19] 5 59 | o 18] 6 4 o 17]6 9 
o 23] 5 41 | 0 22] 5 45] o 21] 5 51 
o 26] 5 zz] o 25] 5 27] © 24| 5, 32 
o zo] 5 3 0 29 5 8 o 28] 5 13 
o 34] 4 44 | © 33] 4 50 © 32] 4 54 
o 37] 4 26 | © 36] 4 31] © 35] 4 30 
0 414 714 413] 03947 


neee eee eee 


Rigbt- Aſcenſion and Equat jon of Time.. 257 


[S© aw a+ ww - | 23G 


2 APRIL. 
Leap Year Firtt Year. | Second Year. | Third Year, 
1773 1777 | 1774 1778 [1775 1779 
1781 1785 1782 1786 [1783 1787 
Sun's |Clock | Sun's [Clock | Sun's [Clock 
RtAſ-A before dale Rt Aſ- before 
cen. in the cen. in the cen. in] the 
Time] Sun. | Time] Sun. Time] Sun. 
EFT 
3 9 45] 3 19 9443 54 0 43] 3 59 
3 o 48] 3 31 | 0 47] 3 36 o 46] 3 40 
3 o 52] 3 13 o 51] 3 18 | © gc] 3 22 
* een 
2 o 92 37 | 0 58/2 42 0 57] 2 46 
2 i 30-2 9] nee 2 28] 
1 1 6] 2 2 1 52 61 42 10 
1 1 10} 1 45 1 91 149] 1 8. 153 
I 1 14] 1 28|'1 12] 1 321 12 1 36 
BY 1 17].1 11 1 16] 1 15] 1 26]. x 29]] 
o 1 2100 55] 1 200 0 599 1 19] 1 2 
©) 1 25] 0 39 | 1 24] 0 43| 1 23] 0 46 
O 1 28] 0 23 | 1 27] 0 27 | 1 26] © 30 
1320 881 31 0 121 30001 
1 36Joaft.p | 1 35joaft.4| 1 34Joaft.1 
1 39] O 22 | 1 38] 0 19| 1 38Þo 16] 
1 4310 37] 142}0 33 1 41] © 30 
14719051] 146047] 1 45] 0 44 
1 511 4] 150]1 0 1 49f © 58 
1 1541181 53] 114 1652] 1 12 
I i 58} 131] 157] 1 268 1656] 1 241 
I 2 2 142] 2 1 39 2 137 
I $612 $4']'28 4 1 521 2 4f 2: $0 
2 2 92 6] 2 82 4 2 721 
2 2 13] 2 17] 2 12] 2 16] 2 11] 2 13 
2 29 2 17] 2 28 | 2 16] 2 26| 2 15/ 2 24 
2 39 | 2 21] 2 38 | 2 20] 2 36| 2 19 2 33 
2 48 | 2 24] 2 48] 2 23] 2 45] 2 22] 2 42 
2 57] 2 28] 2 56] 2 27] 2 53] 2 26] 2 51 
3 $1] 2 32] 3 41 2 3) 3 2 2 304 3 © 
L1 


| 
i 
ö 
i 
; 
| 
| 
1 


- —ä—ũ — w A 
— es ene Rl 
22 — 


— 


258 Right- Aſcenſion and Equation of Time. 


* MAY. rigor we 
Leap Year. | FiritYear. {| Second Year. | Third Year. 
1776 178011773 1777| 1774 1778 | 1775 1779 
1784 1788 [1781 1785] 1732 1786 | 1783 1787 

= | Sun's lock | Sun's [Clock Sun's Clock | Sun's (Clock 

S | RtAſ-]| after | RtAſ-] after | RtAſ-] after | RtAſ-] after 
8 cen. inf the cen. inf the cen. in the cen. in] the | 
+ Time] Sun. [Time] Sun. | Time] Sun. | Time] Sun 
ELL 189 0 TH HT FEAT FER IETF 
i] 2 33 13] 2 36] 3 12] 2 35] 3 10] 2 343 7 
22 41] 3 20| 2 39] 3 19] -2 38] 3 17 | 2 38] 3 15 
3] 24443 27] 2 43Þ 3 26] 2 42] 3 25| 241} 3 25 
4] 2 48} 3 33 2 47] 3 32 2 46] 3 31| 2 45] 3 30 
32 52Þ 3 39] 2 511] 3 37 | 2 C 3 36| 2 49.3 36 
6 256] 344] 2 55] 3 42] 2 54] 3 42| 2 53] 3 41 
7] 2 51þ 3 48] 2 59} 3 47] 2 58] 346] 2571345 
8] 3 44352] 3 33 50% 3 23 49] 3 1]3 49 
9] 3 83 55 3 73 54] 3 63 53 3 51353 
101: 3.113 584-3 41 3 5013: 09.94 66 1:3 0.3.50 
1]: $1544. © 3 14| 3 58] 3 13] 3 58 | 3 12] 3 58 
12] 3 19} 4 1] 3 18] 3 59 31714 0 3 1664 0 
13] 3 23] 4 2| 3 22] 4 1] 3 21] 4 1-1] 3 20] 4 1 
14] 3274 2 3 260] 4 1| 3 25]. 4 2| 3 24|4 2? 
351-394. 4:-2-1--3-3- 4-1-3. 20:4 81.3 30.4 2 
16] 3 35]4 1 3 344 „ 3 33]4 13 32]4 2 
17]. 3 39] 3 59 3 38] 3 59] 3 37] 4 0 3 30] 4 1 

18] 343] 3 57] 3 42] 3 58] 3 41] 359] 3 494 © 

19 3 4713 54 3 481 3 55] 3 45] 35% | 3 44357 

20] 3 51] 3 51] 3 50-3 521-3 49] 3 53-|_3 483.55 

2I| 355} 3 47]. 3 543 49| 3 53] 3 50 | 3 52] 3 52 
22] 359 3 43] 3 58} 3 45] 357]. 347 | 3 56] 3 48 
23] 4 3þ3 38] 4 21341] 4 1] 3 43} 4 913 44 
24] 4 753 33]. 4 6/3 366 4 5/3 37 4 4|3 39 
25 4 11 3 28] 4 10] 3 30] 4 9 3 32 | 4 8] 3 33 
26] 4 15/3 22 | 4 14] 3 24|. 4 13] 3 26 | 4 12 3 28 
27] 4 19] 3 15| 4 18] 3 18]: 4 17] 3 26 | 4 16] 3 21 
28] 4 23] 3 8] 4 22] 3 11]. 4 21| 3 13 |. 4 20 3 14 
29 4 27/3 01.4 2663 3]. 4 25] 3 5| 4243 7 
30] 4 31} 2 52 4 39] 2 55| 4 29], 2 57 | 4 28|.2 59 
[$1 4 35} 2 44 4 34) 2 47 +53 2 49 | 4 32 "27 


| 


Right- Aſcenſion and Equation.of Time, 259 


JUNE. F | 

| Leap Year. , Firſt Year, | Yocond Year. | Third Year. 
| | 1776 1780] 1773 1777 | 1774 1778 | 1775 1779 

1784 1788 | 1781 1785 | 1782 17861783 1787 
5 Sun's lock | Sun's Clock Sun's Ciock | Sun's [Clock 
ran after | RtAi-| after | RtAſ-] after | RrAſ-| after 
cen in] the | cen.in] the | cen.in} the | cen.in| the 
a Time] Sun. | Time| Sun. | Time | Sun. Time] Sun, 
ELM #87 #4 bk 4#. 0 hk | 7 n 

1} 4 49] 2 35 4 39] 2 388 4 37] 2 40 4 30| 2 42 

2] 4 44] 2 20] 4 43] 2 28| 44242 31] 4 41] 2 34 

3] 4 45] 2 17] 4 47]2 19] 4 46] 2 21| 4 43] 2 24 

434 4 5) 2 7] 45112 9 4 50] 2 12| 4 49] 2 15 : 

6] 4 50] 1 56 4 55j_1 58 4 54] 2 4| 4 5212 5 

665 © 46 4591 48] 4 58j 151] 4 57] 1 54] 
, . K 
r 0 1: 361 e- & 2-38 

9 5 12] 1212] 5 111 1 114| 5 10] 117] 5 9; 1 20 
el 6.19] 4 © 5 16j1 2] 5 181 5] 5 1311 9 
1 5 21] 48 5 20 o 55 5 19 53 5 1800 57 
12] 5 25]0 30] 5 2410 38] 5 231041] 5 221 0 45 
13] 5 29 0 23] 5 280 0 46| 5, 27] 0 29 5 26 0 33 
14 5 33] % u 5 32 0 13] 5 31] © 16 5 39] © 20 
is| 5 37jobefz] 5 360 1] 30% 4 5 3440 8 
16 5 42] O 15 | 5 410 b. 12 5 3g9ſobety | 5 38'obefs 
17] 5 46] 0 28] 5 45j0 25 5 4410 22] 5 43] 0 18 
8] 5490 41] 54992 36 5 48[0 33] 5 471030 | 
9 5 54 0.54] 55310 $0] $5210.47 | 5:5] 44 
20 5 5811 7] 5 57]1 3] 5 56] o 59] 5 5510 56 | 
21] 6 2] 1 20 6 1 110 6 of112] 5 59 1 9 
22] 6 61 33 6 61 29 6 4 1 26 6 31 23 | 
23] 6 11] 1 46] 6 10] 1 42] 6 8139] 6 7| 1135 1 
246 15] 1 59 6 141154] 6 13] 1 51] © 12] 1 48 f 
26 r 4 6 16] 2 1 q 
26| © 23] 2 24| 6 22] 2 2a| 6 2102 17 6 20| 2 14 f 
27] 6 27] 2 36 6 26| 2 32] 6 25| 2 29 6 24] 2 26 4 
28] 6 31] 2 48] 6 zo] 2 44| 6 25| 2 41] © 28] 2 38 iN 
29 6353 o| 6 35] 2 56| 6 332 53] © 32] 2 51 41 
30 6 40] 3 12] 6 39} 3 8 6 38063 5| 6 37]3 3| 11 
| 


- 
— 
d 


260 Right- Aſcenſion and Equation of Time, 


* 


'Leap Year. 


1776 
1784 


— 


Firſt Year. | Second Year. 


1780 


= 1723.; 1h 


1 


”* Ih. Jaan. * 1 4 


— 
=) 
® 
O 
= 
2 


4 


Clock 
before 
cen. in] the 


Sun's [Clock 
RtAſ-[before 
cen. in] the 
Time] Sun. 


w ©. 6A 


To ww n 82130 


+ va ua wy wa | Mm 
2286 2 11 
O\ On 2 


Mm Aw N 


Third Year. | 
1775 1779 


| 


/ 


— 


GG 
a 
9e 


mu + > 
KE! 42 


mn. ow NN ww 
Oo oO Vw 


wa ag 
+ + + > + 
Nw RN 
RW WWWwWAW 


——_— 


0-0 0WGwuKl oo co oO OO WWW 
a — — 1 
m 28 \O wn 


<p» >-9 ww NN 
UH GWAD 


— 
numnnmnnanſ. +++ 
MN 0d 2 


un + þÞ + 9 


we ]} Go \O W1 
O\ On we wn 

wnwwwn 
= we \OD QOWL 


8 
8 COND ms 


GAU ad 


\O tv» O\ © mw e+e 
ww 
x © [uw $ + + 


O wn 


td SO wi 
2888 LEY 


00 
RJ I 


0 © 0 © &©& 

—— — 

\Omn -- Soc 
OOO I WSWIWV 


© © COM MK] 0 00 0 0 


00 00 0 O 0 
Wwaaw NN N 
\S wm -— -j WB 


* — — 
— — 


nden 
AGO 


+> 
Ga 


WS MW — 
\S.\S S 


AAA AGO OOO 
4 
— CC 


On O mw www Dw = 
+ + > > + [oo ww ww 


5 


— 


JV WWW 
wav wu 0MN N 
© O ON 
Wnwmnwuwuw wu+p 
2 — — 

— CO 29 2 WI 


O OO 
2118 
O 


GA Þ > 
92 2 - ow 


—_ Fm we 

5 O0 ON | + 

O\ Onmnwnw, 

mw OO © nw ff © On = On 


oO Qt | 


A 


rern 
21 I 


ty CG-Þ 


© © © © 0 


+ 
ans — HW 0 &© 


Right- Aſcenfion and Equation of Time, 261 
| AUGUST. 4 
Leap Year. | PFirſt Year. 5 Third Vear. 
1776 1780|1773 1777] 1774 17781725 1779 
1784 17881781 1785 | 1782 17861783 1787 
— |Sun's Clock Sun's Clock | Sun's jClock | Sun's jClock 
— RtAſ- before Rt Aſ- before RtAſ-|before | RtAſ-[before 
I cen. inf the cen. inf the cen. in the | cen. inſ the 
3 [Time] Sun. | Time] Sun. [Time] Sun. Time] Sun. 
r ee 
— _ — 
18 48] 5 49] 8 48] 5 590] 8 4605 51] 8 46] 5 53 
2|'8 52] 5 44] 8 51] 5.40] 8 gol 5 48 59] 5 50 
31 8 56] 5 49] $55] 541] 8 5415 43] 8 53] 5 45 
49 © 5 34] 8 59] 5 368 8 58] 5 38] 8 57] 5 40 
| 9 45 28] 9 315 3!1 9 215 33] 1 35 
5 % % 9 5| 5 28 i 
7| 9 12] 5 15] 9 11] 5 18] 9 lo] 5 20 9 gf 5 22 4 
89155 7 9 1445 10] 9 13] 5 12] 9 12] 5 14 fl 
99 19459 9 18] 5 21 91715 5 9 16] 5 7 a 
10 9 23] 4 50 9 22 4 53] 9 23] 4 46] 9 zo 4 58] _ | 1 
11] 9 27] 4 41 ＋ #4+ 9 25] 4 47] 9 24] 4 49 4 
129 31] 4 31] 9 39] 4 34] 9 2914 37| 9 284 40 104 
113] 9 344 21] 9 33] 4 24 9 32 4 27 9 31] 4 30 4 
1449 38] 4 10] 9 37]4 13] 9 36416 9 35] 4 19 1 
1$51-2.49:3-$9]| 2. $44.21 9404 4}. 939 4_8 iy 
16] 9 46/3 47] 9 45] 3 49] 9 444453] 9 43] 3 57 i 
1771949 3 34] 9 4803 37 9471341] 9 46] 3 45 | 
18] 953] 3 21] 95213 24] 9 51] 3 28] 9 gol 3 32 160 
9] 9 57 3 7 9 563 10] 9553 14] 9 5 3 19 | 
2010 of 2 53110. of 2 56] 9 59] 3 of 9 58] 3 5 | 
2110 44 2 39110 31 2 42 10 2 2 46 lo 1| 2 51 46 
2210 8 2 24]10 6|2 2710 6|2 3110 5 2 36 i 
23010 12] 2 9 10 11] 2 11] 10 100 2 1510 9/2 21 | 
24|10 15] 1 5310 14] 1 56] 10 13] 2 of 10 12] 2 5 | 
25110 18] 1 3610 18] 1 40 10 17] 1 45 10 16] 1 50 
2610 23] 1 20 10 22] 1 2310 21] 1 28| 10 2o| 1 33 
2710 26] 1 310 251 610 24 1 11] 10 23] 1 17 
28 [10 30] © 45|10 2g] 0 4910 28] © 54 | 10 27] 1 © 
29010 33] 0 2710 33] 0 32| 10 32] o 37 | 10 31] o 42 
3010 370 910 36] o 1410 35] 0 1910 34 © 25 
31 |1o 41joaft.g | 1o Ls IR. 10 39] e 2110 38] 9 7 
| | . 


— . w — 


262 Right- Aſcenſion and Equation of Time, 


| 


215 8 G > wo to oy 59 


12 


| 


, 


SEPTEMBER, 


| Leap Year. | Firſt Year. | Second Year. Third Year | 
1770 1780] 1773 1777 [1774 1778|1;75 1779 
1784 1788 1781 1785 [1-82 17861783 1787 
Sun's| Clock | Sun's Clock | Sun's |Clock | Sun's Clock 
RtAſ- after | RtAſ-] after | RrAſ-| after | RtA(-] after 
cen. inf the cen. in] the cen. in the cen. in] the 
Time] Sun. [Time] Sun. [Time] Sun. [Time] San. 
T 
10 44] © 2810 44] © 2210 42] 0 1710 42] 0 12 
10 480 0 4710 47] 0 4210 46] o 3610 45 o 30 
10 52] 1 610 511 110.50 © 564510 49 0 49 
10 55] 1 26 10 54] 1 20 10 53] 1 14/10 53019 
10 59 1 4510 58] 1 40 10 57] 1 35110 56] 1 2g 
11 22 511 2] 1 5911 1| 21 5411 of 1 4, 
11 62 25]11 5 2 191 4|2 14] 302 
11 100 2 4511 9 2 40 [1 8] 2 3511 7 2 29 
11 13] 3 611 12] 3 of11 11] 2 54111 11] 2 40 
11 17] 3 26] 11 16] 3 21 |11 15] 3 1511 14] 3 10 
it 20} 3 47 | 11 20} 3 41 [11 1g] 3 3511 10 3 zo 
11 24] 4 811 23] 4 2|11 22] 3 5611 21] 3 51 
11 28] 4 28| 11 27] 4 23|11 26] 4 18|11 25 4 12 
11 31] 4 49] 11 30 4 4411 29 4 3911 29] 4 33 
ad 3S1.3 291.12 341. $$ [32--33]'4 $9[12-32] 4.54] 
11 38] 5 31 | 11 385 5 26 |11 37] 5 2011 36| 5 15 
11 42] 5 $2| 11 41] 5 47 [11 40] 5 411 39] 5.36 
11 46] 6 13] 11 45] 6 8 [11 44] 6 3 43 5 57 
11 49] © 3411 48] 6 2911 47] 6 23111 47] 6 18 
11 53] G 55 | 11 52] 6 50 11 51 6 45 [1 gol 6 29 
11 567 15] 11 56] 7 11 [11 5/7 51 547 © 
12 of 7 3611 59 7 32 [11 58] 7 2011 57 7 2 
2 4 7 $7413 -N 7 523-118 0 7.46183 -1] 7:40 
12 78 17] 12 608 132 7 7432 5[$ 1 
12 11] 8 38| 12 10] 8 33 [12 gf 8 28]12 B| 8 22 
12 14| 3 5812 14] 8 5312 13] 8 4712 12] 8 42 
12 18] 9 1812 17] 9 1312 169 7 [12 15] g 1 
12 22] 9 3812 21] 9 33 [12 2o| 9 27|12 19 9 21 
Iz 25] 9 57 | 12 24] 5212 23] 9 47 12 239 4 
12 29010 1612 280/10 11 |12 2710 612 26010 © 


[| 


I -ga84Bat 


—— 
11 3 11 ee e 0 


I] 


Right- Aſcenſion aud Equation of Time, 263 


tan OCTOBER. gh 
Leap Year. | Firk Year. | Second Year. I bird Year.| 
1776 i780 [1773 1777 [1774 1778 | 1775 1779 
1784 1788 | 1781 1785 | 1782 17862783 1787 
"© | Sun's Clock Sun's Clock Sun's [Clock | Sun's [Clock 
Rt A.- after | RtA1-] after | RrAſ-| after | RtAſ-] after 
3 | cen.in} the | cen.in| the cen. in] the cen. in] the 
3 Time] Sun. [Time] Sun. Time] Sun. Time] Sun.“ 
S 67 EW TR FRITEDZ. 
112 33/0 35 | 12 3200 30 12 31010 25|12 3050/0 20 
212 36010 5+ 12 35/10 4812 340 4312 3310 39 
3112 4oji1 1212 39411 612 38011 112 37/10 57; 
4| 12 43]i1 3012 431 2412 42|11 19] tz 41 15 
E 4212 45/11 37 [12 44/11 33 
51251012 412 5c|i1 5912 49H 55 12 4801 Tt 
7 |12 54112 21| 12 54112 1612 52/12 1212 52112 8 
8112 5812 37 12 57ji2 3212 56012 2812 55/2 24 
913 2/12 5313 102 4813 ofiz 4412 5912 401 
10 28 13 8 „„ 4 | 13 413 013 3112 500 
11 1j 9/13 2313 8/13 1913 7/3 7513 5/3 12 
213 13013 3713 12½3 33 13 1113 3013 10013 27 
1313 17/13 5113 14/13 4713 15113 4413 14113 42 
1413 20014 413 1914 1113 18/13 5813 17/13 50 
513 24/14 1213 23/14 1413 22114 11 |13 21/14 9 
1613 28074 29 | 13 274 2613 26014 2313 25114 21 
i7 | 43 324 49 | 13 3/4 3813 3c|14 3513 29114 33] 
18] 13 35114 $1] 13 34114 49|13 33/14 47 [13 32/4 44 
9 13 3915 213 38014 59 [13 37/14 5713 36/14 55 
2013 43115 1213 42|15 1013 4156 813 408 5 
21 | 43 475 2113 4015 1913 4515 1713 44115 15 
2213 50/5 2913 4915 2813 48015 2613 48/15 24 
3 43 54115 3713 52015 3613 52/15 3413 5115 32 
$113 58115 44/3 56½5 43/13 50s 4213 55/½15 40 
51144 265 50| 13 1/15 49| 14 ofils 48 [13 59 8 42 
14 Gſts 5614 5/15 554 4½ 54/4 315 52 
27 | 14 10016 of 14 916 14 8/15 58 [14 7/56 57 
28 | 14 13116 14 13116. 4| 14 1116 3|t4 11}i6 2 
29 | 14 17]16 8 | 14 16616 714 15/16 614 14/16 6 
30 | 14 21116 11 | 14 20116 1014 196 10 [14 1816 10 
31114 25j16 13 | 14 24/16 1214 23/16 12 14 22016 12 


* 
* ry 922 "a — tres ew > 


— — — n — CTA 


*%.# - dS wan ogy 


1 


264. Right- Aſcenſion and Equati on of Tinie; 


| : NOVEMBER. 
Leap Year, | Firſt Year. | Second Year, | Third Year, 
J 21776 178011773 1777 |1774 1778 [1775 1779 
1784 1788| 1-81 1785 | 1782 1786 1783 1787 
I ß Sun's [Clock | Sun's Clock | Sun's [Clock | Sun's prom 
S| RUA] after | RtAſ- after | RtAſ- after Rt A. after 
cen. in the cen. in] the | cen.in| the cen. in the 
= Time] Sun. Time] Sun. [Time] Sun. [Time] Sun. 
ere F-1STTDI 
114 2916 1414 28016 1214 27/16 13 | 14 26016 73 
2| 14 33/16 1414 3216 1314 31/16 1414 30016 14 
3114 37116 1314 266 1214 35/16 1314 34016 14 
4| 14 41/16 1214 38016 1t | 14 39/16 12 | 14 38016 13 
| 14 45116 9] 14 44/16: 9| 14 43116 1014 42116 11 
6 14 49]16 6] 14 48/16 614 47116 7 | 14 46016 8 
71] 14 5316 214 52½6 214 51/16 4|14 50016 5 
8| 14 57]'s 574 $6115 57 | 14 5516 of 14 5416 1 
195 1's 52115 ofis 52 | 14 59/15 5414 58/15 56 
10 15 $115 44] 15 4115 45 | 15 3j15 48 : | 
11615 95 37 [15 8/5 38 [ig 715 417 
12115 135 2815 1215 30 | 15 115 33 
13115 175 19] 15 160615 21 | 15 15/15 26 
14 15 21 15 9 15 20815 1215 19 15 15 
i6| 15 20114 58] 15 2418 [ 2] 4 
16] 5 30/14 47 | 15 29014 50 | 15 28014 53 
17] 15 34/14 34/15 33114 35 | 15 32114 42 
18] 15 380142115 37114 25 | 15 36114 28 
19] 15 42114 715 4114 11] 15 4001415 
20] 15 49113 52] 15 45113 56 | 15 44414 % 
21| 15 $113 36] 15 49113 40 | 15 4813 44 
22] 35 55113 20] 15 54113 2415 53/13 28 
23] 15 5913 3] 15 58ji3 715 57/13 11 
24| 16 3112 45] 16 2ji2 49| 16 112 54 
2516 8/12 26] 16 6112 30 | 16 512 35 
26 16 122 616 11012 11 | 16 10l12 16 
27| 16 16j11 4616 15)11 51 | 16 14011 56 
28] 16 21j11 25| 16 19/1 30 | 16 18011 35 
29| 16 25jit 316 24 816 22[11 13 
30 16 29010 4116 2 8 46 | 16 71 52 


1 


e 


IC 


Righe- Alesi and Equation of Time, 26 5 


— 


ay ns DECEMBEkK, OE RENE 
Teap Year. | Firſt Year. Second Year. Third Year, 
i776 1780] 1773 1777] i774 1778] 1775 1779 
_| 1784 1788 | 1781 17851782 1786 1783 1787 
| Sun's [Clock |} Sun's Clock Sun's Clock | Sun's [Clock 
& | RtAſ-] after | RtAſ- after | RtAC-| after | RtAſ-| after 
cen. inf the cen. in] the | cen.in} the cen. in] the 
3 Time] Sun. | Time| Sun. | Time| Sua. Time] Sun. 
F e 
|— — — — — — 222 e th 12 
1116 330/10 18 | 16 32010 2316 3110 2916 3010 30 
216 38] 9 55 | 16 3719 5916 350 516 34010 12] 
3446 429 3916 49 356 40] g 4246 39 9 49 
416 46} 9 616 45/9 10 16 449 1716 43] 9 24 
5 16 51 8 4016 501 8 45116 48] 8 5216 47] 9 o 
6146 55| 8 1416 54} 8 19116 53] 8 2016 52] 8 34 
[7 [16 59] 7 48]16 58] 7 5/16 57]8 1]16 368 9 
18117 417 21117 3] 7 26017 27 347 17 42 
917 810 53117 716 5% % 67 717 5 7 15 
10 17 13] 6 25] 17 12] 6 32|17 19] 6 39|17 9] © 47 
11117 27] 5 57 17 2601 6 4| 17 15] 6 t1]17 14] 6 19] 
12107 2215 29117 20/5 36] 17 19] 5 43[17 18] 5 51 
13117 2665 / z5| 5 7| 17 24] 5 14[17 23] 5 22 
14117 391 + 3! [ 17 29] 4 38] 17 28] 4 4617 25] 4 54 
is|17 35] 4_2 17 34] 4 9] 17 32] 4 17 | 17 31] 4 25 
16117 39] 3 32 |17 38] 3 40|17 37] 3 47|17 30] 3 55 
717 4413 2]17 43] 3 10] 17 41] 3 28|17 40] 3 26 
817 48] 2 33|17 47] 2 41 3 11 17 45] 2 56 
1917 55] 2 3]17 51]2 11] 17 gol 2 19|17 49] 2 27 
20117 57] 1.33 [17 56} 1 41 17 551 2 4817 541_1 57] 
218 1 iT. 3) 1s of 1 10% 5% 1.1817 50) 1 26 
22118 6 0 33] 18 51 0 401 44 0 4818 3 56 
2318 10 318 gf 1018 8 0 1818 7 © 26 
2418 150 ob. 27 | 18 140 b. 20 18 1200 b. 1218 11] ob. 4 
28 19 0 57 [ 18 18] 0 5018 17/0 4218 16] © 34 
26 18 24 1 57 [18 23] 1 2018 1 1 1218 200 1 4 
2718 28] 1 5018 26 1 50] 18 26] 1 42[18 z5| 134 
28 | 18 33] 2 26] 18 31] 2 1918 30] 2 11 |18 29] 2 3 
9 18 37] 2 55 [18 36] 2 4918 35] 2 4118 34% 2 33 
3018 41] 3 24|18 40 3 18 18 39] 3 10 [18 38] 3 2 
1 46] 3 5218 45/3 4718 44] 3 39118 423 31 
Mm 5 
4 


( 266 ) 


TTTABLE X 


BLE XXII. Of the Sun's Place and Declnat. 


NU hath 31 Days. 


EE 


* 


7 * 


WO 00 b. 82 — 


4 
11 48122 57 


Firſt Year. | Second Year, 
1773 1777 [1774 1778 
1781 1783 [1782 1786 
Sun's [Sun's Sun's (Sun's 
Place.| Dec. Place.| Dec. 


Third Fer 


E r 


ur [South r South 
11 3322 58 [11 16023 © 
12 34122 52 [12 17/22 54 
13 33122 46 [13 1922 48 
14 36022 40 [14 20022 42 
Is 37122 33 [15 21122 3% 


—_- 


16 39022 2616 22/22 28 
17 40022 18 [17 23/22 20 
18 41022 10 [18 24/22 12 
19 42022 119 26022 4 
20 43|21 5220 2721 55 


I775 1779 
1783 1787 
Sun's | 


Dec. | 


Place. 


Lp South 
1123 1 
2122 55] 
4122 50 

14 53122 44 
6122 47 
7122 30 

17 3122 23 

18 1022 15 

19 11022 6| 

20 1221 57 


21 43 |21 28/021 45 
21 33 [22 2921 35 
21 22 [23 30]ʃz1 25 
21 1224 31021 15 
21 O |25 321281 4 


20 4920 330/20 52 
20 37 [27 34120 41 
20 25 |28 36020 29 
20 1229 3720 16 
9 59 2382 2 


29 22120 19 
2 23120 6 


2 2619 35 
| 3 2609 23 


s 3018 10 


15509 46 1 3919 49 
2 56019 32 2 4019 35 
3 5719 18] 3 41119 21 
4 58019 3-| 4 420 7 
| $5 $9j18 48 | 5 43118 52 
7 Os 33] 6 44118 37 
8 1118 IF] 7 45118 22 
9 2018 1 8 45/18 6 
110 3117 48] 9 40117 50 
11 4017 2910 47117 34 
12 517 12111 43117 17 


71 1] 3307 2 * 


21 1321 48 
22 1421 3 
23 15/21 28 
24 1602117 
2 


26 18020 55 


27 1920 43 
28 21120 31 


1 2419 53 


4 27119 11 
5 28118 18 56 


6 29 18 41 
7 30118 25 


9 31117 1 
10 32117 37 


uk. 


(err | 


2 Py 


on on mn ten a as i» eo db wo Eo WTw 6 a ww OW ms 


4 _—_ * 


— 


Table of the Sun's Place and Declinati on, 267 


© ow op wy - 


S | 


10 


* 


EL hath 28 Days; 


57. 
1784 


Vear. 
1780 
1788 


Firſt 


1773 


1781 


Year, 


1777 
1735 


'The 
San's 


Place. 


Sun's 
Dec. 


The 


the 
Sun's 
Place. 


| The 
Sun's 


Dec. 


0 / 


WW. # 


12 19 


14 21 
15 22/1 
16 23 
17 23 
IS 24 
19 25 
20 25 
21 26 


22 27 


South 
17 8 


13 20016 50 


16 33 
16 15 
IS 57 
15 39 
15 20 
re 1 
14 42 
14 23 


| ———— 


14 3 


9 FI 
13 5 
14 6 


„ Hſe 
10 8 


17 9 
18 9 


19 10 
20 11 
21 11 
22 12 


—d — 


3 
South 


16 54 


16 37 
16 19 


16 1 
ls 43 
15 24 
14 46 


1427 
14 8 


is 5 


Second Year, 


1774 
1782 


1778 
1786 


in Leap-Year, 29. | 
Third 


1775 
1783 


'T he 
Sun's 
Place. 


— — 


The 
Sun's 
Place. 


1787 


car, 


1779 


The 
Sun's 


Dec. 


SF 


— —— 
7 
mee 


12 49 


14 36116 28 


HY ah 
South 


"7:3 
16 46 


16 11 
Io 52 


17 4115 34 
19 40014 5 


v3.25 


I4 37 
18 


23 13/13 48 | 
24 13113 28 
25 14J13 8 
26 14012 47 
27 18/12 26 
28 15/12 6 
29 10611 45 
N 16111 23 


* 0 


1223 27/13 43 
24 28013 23 
14425 28113 3 
15126 20912 42 
16127 29112 22 
17128 30ʃ12 1 
1829 3011 40 
19] X 31181172 
20] 1 3100 57 | 2 17/10 41 


[21] 2 32jl0 35 | 3 17/˙0 19 
3 32j10 14 | 4 18 


[S] 

0 — | 

21 

O \S 

— — 

— 

- — 

— 4 LS) 

[S) 

— wy Mt 

2 

— — 
O — 
uw 2 
2 Uv 


tt —_— 
—_— 


| 


 » ha OE... AAS.” > Bon ht 2. 7 06. DPO©2 ©. ad. Ao 


— - — 


"nk. 


! " 


4 32 
5 33 


7 33 
8 33 


10 33 


9 33] 8 


6 33 


5 18 
6 18 
18 


18 


Re, 
10 19 


20828 
NN = — 


| 


| © cow | On +> w Ho 


— 
O QC 
— MN tt 


— — QDS 
MN 
+> 


268 Table of the Sun's Place and Declination. 


MARCH hath 31 Days 


— 


11 


| 


Ar 


Leap Vear. 


1780 
1788 
Tue 


Ys 
| 
eo 
> 


wv AAA  : 


+ 


So 1. _- 
9 * 00 - þÞ 


G3 WT _ ——., 
1 www 


wo | * 
213 1 Gee da 


Wn 
+>. 00 


. 


82 
1 — 


O0 —— -= e 
ty 
ilwn N  O\ Ow = 


280 


O 
Ur 
— 


OO 


— 


— 


Ass - - 
tv 
O 


1773 


1781 


Firſt Year. 


1777 
1785 


Place. 


@ . 


— O——— 


X 
11 19 
12 20 
13 20 
14 20 
15 20 
16 20 
17 19 
18 19 
19 19 
20 19 


— — — 


21 15 
22 18 
23 18 
24 18 


25 17 


26 17 
27 16 
28 16 
29 15 
9 


3 14 
2 14 


20 == 


Ine | Face 
Sun's' 


| Dec. 


Sun's 


” We 


— 
Sour 


7 29 
6 57 


6 34 
6 11 


A 
+> 
0 


33 
NA = vw N 
— CO os 


to 


© Q 0 ww 
'J1 we Þ> 
4 QUO WW 


| 


[8 


_— 
Oo 0 nm wm 


— 


— — 


Lear. 
1778 


1 59 


8 2 = Wo 


— to 


S S8 


Third Ycar, | 


[S) 

dd 

+ 

SI 
NN NN v0 w w 
. oo An mm v2 
wnivwv wv OW 


— S- 


d 

— 2 

+ 

wo 
O 0 O — — 


— 

+ 
— — 
43 „6 2 
8 
tw» CO —- yS 


+ 
in D 


tw WO ON SN NG wm 


+ wi ys. i N © 


LY 
Y bk 
— 
8 


N 


| 


I 


— ow 2 2 


— 


Table of the Sun's Place and Declination : 269 


FIT | 
1775 1779]. 


— 


—ů— 
4 


FF bud iim 
Leap Year. 
1776 1780 


"APRIL hath 30 Days. 
Firſt Year. | Second Year. 
1773 1777 | 1774 1778 


. 


*'skect | 


1784. 
I he 


1788 


1781 


The 


Sun's 


Place, 


1 


1785 
The 


+ 
2 


918 
4+ » oO 


+ 0d 
1 0 0 


10 26 


16 


„ 


12 6 
2 
14 4 
18 3 


2 


1 
18 © 
18 58 


19 37 


20 56 


[447 


— 


— —ͤ—ͤ— — 


OO n 
ny winks | 
LES: 


981 


1782 


1786 


Sun's 
Dec. 


| 


E 
=> 


| 


z 
= 
© 8 


G88 
IH 
* S 


e 
280 B u 
828062 

lo © © < Ae &\ of 007 


8 &© 
0 


The 


— ON ww 


178 


3 1727] 


* 
f> 


— — —— vn... 


270 Table of the 5 un's Place and Decli nation. 


| *#&g_ | 


—_— 


\O 00 G 8 


MAY hath 31 Days. 


Lea 
1776 
1784 


Year. 
1780 
1785 


The 
Sun's 
Place. 


| The 
Sun's 


o 1 


Dec. 


@. :. & 


”"_ 

11 36 
12 34 
13 33 
14 31 
15 28 


North 
15 20 
15 38 


6 


16 30 


Firſt Vear. 


R 
1781 1785 
The | The 
Sun's| Sun's 
Place. ] Dec. 


SHES 


1782 


Second Year. 
1774 


1778 


1786 


The 


Sun's 
Place. 


The 
Sun's 
Dec. 


0 I 


North 
11 22015 15 
2915 33 
13 18015 51 
14 16116 8 
16 2; 


-16 26 
17 24 


16 47 
17 3 
17 19 


19 20/17 35 


20 18 
21 16 


18 6 


| i 
18 36 
48 30 


19 18 
19 31 
19 45 


12 57 


20 10 
20 22 


20 34 


20 45 


3 46/0 56 


N. 


00008 
to = + OO 


21 17 
21 27 


| 


21 46 


. 
1 
* 


[17 1 


18 21 


19 4 


2.7 


2136 


2155 
99 3 


16 42 
16 59 
18 817 15 
19 617 31 
20 4117 47 
21 21618 2 


22 of18 17 


22 58018 32 
23 50118 47 
24 54119 |! 


9 15 
26 49019 28 


bo) 


t1 -7 
Ta 


18 


1 


14 59 


15 57116 38 


16 55 


17 $53! 
18 gi] 


i9 49 


20 47 
21 44| 
22 42 
23 40 


24 38 


25 35 
26 33 


27 31 


28 28 
29 20 


U 24/20 16 
1 21020 28 


20 50 
21 1 
21 12 
21 22 
21 32 
21 41 
21 50 
zI 59 


20 39 * 


O08 > IS 


Third Year, 


1779 


1787 


'The 
Sun's 


Dec. 


j, 
North 


10 52]15 6 


15 24 


12 48015 42 
13 46016 © 
14 44016 17 
15 4316 34 
6 40016 51 
17 38117 7 
18 3617 23 
t9 3417 39 
20 32]17 54 
21 3018 10 
22 28118 25 


| 


0 les w — 0 


+ + wr un nw 


w5v 0 » ww 
DV 
— 
wo 
WO 


2 
— 

: wr 
a. 


" 


Table 4 the Sun's Place and Declinati on. os t 


JUNE hath 30 Days, 


Firſt Year. 
N 1777. 
1781 1785 
Thel The 
Sun's Sun's 
Place.] Dec. 


9 10 8 


Second Year. 
1774 1778 
1782 2 1786 
"The The 
Sun's| Sun's 
Place.| Dec. 
FL»... 


North 
9 
22 16 
22 24 
22 31 
2 


22 44 44 
22 49 
22 55 
23 0 
19 4222.1 4 
23 9 
23 12 
23 16 
23 19 


23 21 


23 27 
23 27 
23 28 


23 28 
23 28 
23 27 
23 26 


N 
188 | mu — we ow pee | IQ 
”* O wu nn CON - 


o 6. Vn + wrnny 
nw wo -£þ+ 


23 24 
23 25 


I 
I 
2 
3 $8 
4 
3 
5 
7 
8 


North 
22 7 
22 14 


** 
10 57 
11 54 
12 51 
13 49;22 28 
14 14 46/22 35 
15 430/22 42 
16 39122 48 
17 38022 53 
18 35022 58 
19 3323 3. 
20 30123 ᷣ 7 
21 27423 11 
22 25123 15 
23 22 
24 19 
25 16 
26 14 


23 21 
— — 


23 22 
23 24 
27 11023 26 
28 823 25 
29 925 28 
Era 2/23 23 28 
6'23 28 


57 
54123 26 
2.4 


23 22 


4 


23 a4 


23 15 


3 
4 
4 
4 
4 
37123 12 


22 21 


23 18 


7123 27 


23 21 


5 Third Year. 
1775 1779 
1783 
The 
Sun's 
Place, 


The 


5 


1787 


— — 


* . 
— . * 


—— 


— 


2 M 7 abt of the Sun's Place and Deeli nation, 


*'$&rq | 


oO ow ol + ws 8 = 


* 


—— 


— 


JULY hath 31 Days. 


* 


Leap Year. | Furſt Year. | Second Year. | Third Year, 
1770 1780[1773 1777] 1774 1778 | 1775 1779 
1784 1788] 1781 17851782 1786 | 1783 178; 
The The| The The The Thel The 
Sun's| Sun's | Sun's} Sun's | Sun's| Sun's ] Sun's! Sun's 
Place.| Dec. | Place.| Dec. Place. Dec. | Place.! Dec. 
CIO 23-6400 #16 71S: 8 "Yar 4 © "Ty 
os North] oz [North] & North oz [North 
10 4153-31. 9: $3 6] 935/23 7| 9 21023 J 
11 1023 1]10 48023 210 32[23 3 | lo 1823 4 
11 58022 56|11 45/22 57| 11 29022 58 | 11 1522 59 
12 55|22 51|12 42/22 52012 20022 53 | 12 12/24 54 
13 5322 45113 39122 40|13 23/22 48113 91:2 49 
14 $0122 39 14 30422 4014 20022 42 | 14 ©122 3 
Is 472 3 18 34022 33115 18022 3515 422 37 
16 44/22 2516 31022 2716 15/22 2916 122 30 
17 41022 18 by 28022 20| 17 12022 22 | 16. 5822 23 
18 39022 1018 25/22 12] 18 9022 14| 17 35/22 16 
19 36j22 2| 1g 23j22 419 622 6|18 g2|22 8 
20 33|21 54| 20 20021 56| 20 421 5819 50% 2 © 
21 3oſ21 45] 21 17]21 47 | 21 7/21 49 | 29 471 52 
22 28j21 3622 14/21 38|21 580214021 4421 43} 
23 25/21 20| 23 12021 28| 22 55/21 31 | 22. 41121 33 
24 22|21-36|24 9021 19|23 53/21 22 | 23 3921 24 
25 20j21' 6|25 6021 924 5goſzt 12 | 24 36-1 14 
26 17/20 55|26 3020 38 z5 47] z1 1| 25 33121 3 
27 14120 44|27 oſzo 47| 26 44/20 $0 | 26 3020 53 
28 12120 3327 59/20 36| 27 42120 39 | 27 28020 42 
29 9020 21|28 55/20 24| 28 39/20 28 | 28 24120 30 
K 6[20 9] 29 52/20 12| 29 36020 16 | 2g 22120 18 
1 3119 57] &t $5ojzo0 of Q 34420 3] Q 20120 6 
2 119 44] 1 47019 4713109 51 1 17119 54 
2 68019 31] 3 44/119 34] 2 28119 38| 2 14119 41 
3 55/19 18 3 42019 21] 3 26019 25| 3 12019 28 
4 5319 4] 439, 8 4 23/19 11] 4 919 15 
5 5018 50 5 37118 54] 5 20018 57] 5 7119 1 
6 48118 36] 6 34018 39] 6 1818 43| 6 4118 47 
7 45118 21] 7 31118 25] 7 15118 2g | 7 118 32 
N 6 8 29ſi8 10] 8 13018 14 7 59118 18 


2. 


„ 3 Bonita _ Wit. £ Sond. A. 


Table of the Sun's Place and Declination. 2 73 


| v 


| *s&eq" 


[SOA 


AUGUST hath 31 Days. 


Lea 
177 
1784 
"The 
| Sun's 
Place. 


— — 


G:.# 


* 
9 40 
10 37 
11 35 
12 32 
13 30 


14 27. 


15 24 
16 22 


Year. 


1780, 
1788 


Firſt Year. 
1773 1777 
1781 1785 
The 4 I'he 
Sun's] Sun's 
Place.] Dec. 


FF SG: # 


North 
17 55 
4117 39 
17 23 
12 7 
-1; 1616 52 
10 35 
16 13 
16 1 
17 75 43 
5 
8 
14 50 
14 32 
14 13 
13 55 
13 30 
13 16 
12 57 


12 37 
12 18 


1 37 
11 17 
11 55 
10 36 
10 15 
9 54 
9 32 
9 11 
| 3 49 


1. 


oo O , = 


Second Year. 


1774 1778 
1782 1786 


Thurcd Year, 
1775 1779 
1783 1-87 


The | The 
Sun's] tun's 
Place. Dec. 


tt v / 


N, |North 
9 10,17 59 
10 8117 44 
1 37 20 
12 3117 13 
13 O'16 57 
13 53,17 40 
14 55116 23 
15 53116 © 
16 59,15 49 
17 48015 31 
18 43115 13 


Thel Ihe 
Sun': Sun's | 
Place.| Dec. 
2 0 / 


N [North 
8 3018 3 
95417 47 
lo 5117 32 
11 49117 16 
12407 of 


13 44 
14 41]; 
15 39 
16 30 
12 34 


18 32 


22 30 


24 32 
26 27 


28 23 


23 34 
25 30 


19 43!14 55 
20 4/14 37 
21 39'14 19 


14 1 
13 42 
13 22 
5 
12 43 


27 2712.21 


— 


12 3 


29 21.11 44 
* 19; 


11 23 


19 29 
20 27 
21 25 
62-22 
23 20 
24 18 
a 1613. 7 
26 13112 43 
27 11012 | 
23 912 8 
29 a 

N 511 
11 
10 46 


2 5919 25 
10 4 
943 
9 22 
9 © 
8 9 


| 


* 


274 Table of the Sun's P lace and Declination, 


| 


U 


— — A —— _ 
— - 


— 6 CEE 6 ia. o Pra Mat 
Ar 


© cow oli e: 


11 on 


SEP LI EMBrCK hath 30 Days. 


— 


Leap Year. | Firſt Year. | Second Year. Third Year, 
1770 1789| 1773 1777 [1774 1778175 r779 
t784 1788 | 1781 17385 [1782 12861284 . 1787 
The] The | The ; The | The] The | They Tae 
Sun's| Sun's | Sun's] Sun's |. Sun's] Sun's | Sun's] Sun's 
Place. Nec. | Place. Dec. Place. Dec. Place. ] Dec. | 
” HER $f” HOY a 9 I | 0 7 HS 0 / 89 7 
m |North np North nn [North | M/ [North 
9 318 1] 9 17} 8 669 18 12| 8 45] 8 16 
10 29] 7 3910 15/7 449 59] 7 50 9 45] 7 55 
11 28} 7 7611 14} 7 2210 57] 7 27 10 44] 7 33] 
12 260 6 5412 12] 7 1 56] 7 511 42] 7 11 
13 24] 6 32] 13 10] 6 37]12 54] 6 43]12' 40| 6 49 
14 226 914 96 15]13 52] 6 2013 38] 6 26 
15 215 47[15 7|5 52014515 $8]14 376 4 
16 19]-5 24] 16 5/5 305 49] 5s 35]15 35| 5 4f 
17 18] 5 117 4/5 71160 47] 5 13116 33] 5 19 
18 16] 4 39] 15 21 4 44 [17 46] 4 5o[17 32] 4 56}, 
19 14] 4 1019 1| 4 21 [18 45] 4 27|18 3ol 4 33 
20 13]. 3 $3] 19 594 3 5819 43} 4 4| 9 29 4 10 
21 12] 3 3020 58/3 3520 41 3 41/20 27/ 3 47 
22 106 3 721 56} 3 12 [21 40] 3 1821 260 3 24 
23 9j 2 41/22 55] 2 4922 38| 2 55122 243 1 
24 7, 2 2023 53} 2 26 |23 37] 2 3123 23| 2 38 
25 Of. 1 5724 52} z 124 30} 2 824 21] 2 15 
26 ff 134] 25 5½ 1 3925 344 14525 200 1 51] 
27 3| 1 10 20 49þ 1 16 [20 33]1 22[26 19] 1 28 
28 21] © 47 | 27 4% o 5327 32] © 5927 180 1 5 
29 1] © 23] 28 47] 0 29-[28 31] 0 3028 10] 0 41 
> oſjSouth. | 29. 46] 0 6 hzy- 2 oO 1329 15] © 18 
0 59 © 23| «> 4448. 18 2 28] S. 11 | a 14] S. 6 
15810 47 143jo 41] 1270 35Þ t 13] 0 29] 
2 56 1 10 2 42] 1 5 | 2 26] o 58] 2 12] © 53] 
3 55] 1 34] 3 410 1 28] 3 25] 1 21] 3 11] 1 16] 
454157] 449] 1 51f + 24 145 4 10] 1.39] 
$$ 34 231] $392 15} 6 23]2 $f 5 9 2. 3 
6 521 2 44] 6 38] 2 38 6 22] 2 32 & 8/ 2 20 
7.99 37} 3374 3 wr 729.5 557.7 N 


Table of the Sun's Place and Declination. 275 
1 OCTOBER hath 31 Days. | 
| +4 Leap Year. | Firit Year. | decond Year, | Third Var. 
| 11770 178773 17779 1774 1778 | 1775 1979 
| 911734 1788 | 1781 1785 | 1732 1786 1783 1787 
| { Vhe |'Che |''the| The | The The The | The | 
1 S | Sun's [Sun's | Sun's {Sun's { Sun's | Sun's | Sun's [Sun's 
Place. Dec. | Place. Dec. | Place.| Dec. | lace Dec. 1 
* 7 7 / e 1 n | I 
I 1 «a [South [South £2 ſSzuth | S [South | 
118 53 3] 8 36] 3 2582 3. 291 0 1 | 
[2] 959 3 54 9 30] 3 48 | 9 19] 3 42 | 9 5 3 36 | 
3% 4914 17 [10 35] 4 11 [10 18] 4 5 wo 44 © | 
4]!1 48] 4 49 % 34] 4 3511 18} 4 291 J 4 23 | 
(5122 4715 3112 331 4 58 | 12 17] 4 52 [12 3 4 40 | 
6]13 47] 5 27 |13 33|-5 21 |i3 10] 5 15 [13 25 9 
(7194+ 40] 5 59 [14 32] 5 44 [14 16] 5 3814 1] 5 32 
815 45] © 13] 15 31] 6 716 15 1 of 5 5g 
19116 45] 6 35 [16 31] 6 3015 14] 6 24 | 16 of 6 18, 
102 44 6 58 | 17 39/6 53] 17 14] 6 4616 59] 6 41 
11118 44] 7 21 18 30] 7 15 | 18 137 917 59] 7 4 
1219 43] 7 4319 29] 3819 1307 32|18 58] 7 26 
1320 43] 3 20 29] 8 of 20 12] 7 5519 58] 7 4g 
14021 43] 8 2821 23j8 23|]21 1268 1720 57] 8 11 
[15 22 421 3 51 | 22 28 8 45 |22 12| 8 39|21 57] 8 34 
1623 429 13 23 2/9 7|23 A 122 57] 8 56 
7024 41 9. 35434 37] 9 29124 p11 e 
118]25 41] 9 525 279 51|25 1119 45|24 56] 9 40 
19 26 41010 18 | 20 20/0 13 | 26 10.1.0 7.1 26 50e 3 
2027 41/0 40 | 27 20/0 34 |27 1ojio 29 | 26 55110 23 
2128 4111 1 | 28 26440 56 | 28 100 50| 27 550 45 
2229 40/11 22 | 29 26061117 | 2g 1ofl11 1228 g:hit 6 
23 m 40/11 43 m 20/11 38 | ML 10/11 3229 55/11 27 
[24] 1 40012 4 1 206159 1 10 53] m 5511 48 
25 2 40/12 25 |. 2 26012 20] 2 1ollz 13] 1 55112 9. 
20 3 40012 45 | 3 26012 42 | 3 10/12 34} 2 55112 30 
127] 4 40013 55 4 20013 4 10%: 55| 3 55/2 5G 
28] 5 4013 26 5 26113 21] 5 10013 15] 4 55113 11 
129] 6 40013 40 | 6 2663 41] 6 1cl13 35] 5 5513 31 
j30 7 40/4 5| 7 26114 o| 7 1613 55 6 55/73 50 
131 8 4914 25 | 8 20114 20 | 8 1c|t4 14] 7 55/14 10 
a | 
Nun 2 


̃— . 7 ⏑§ꝙFfÄX§Gq 
— 2 — © 
W 


276 Table of the Sun's Place and Declinat ion. 


. 


r 


10 


0 SAA — 


| - 


NOVEMBER hath 30 Days. 


"Leap Year. 


1779 
1784 
The 
Sun's 


Place. 


1780 


1788 


Tac 
Sun's 


Dec. 


0 


0 * 


m | Souin 


2+ 47 
25 47) 
20 49; 


114 14 


15 3 
15 21 
15 40 
15 53 
16 10 
16 34 
16 51 
+ 
17 25 
17 41 
17 58 
18 14 


2118 29 
5113 44 


13 59 
19 14 
19 28 


Firſt Year, | Second Year. 

1773 1777 | 1774 1778 
1781 1785 | 1782 1786 
'The| The 'l'he | The 
Sun's| Sun's | Sun's| Sun's 
Place. Dec. | Place.! Dec 


@. SYS: -# OAT mw, 


m souen m Soutn 
9 20114 39] 9 9114 33 
10 26014 58 | 10 109{14 52 


11 27]15 1711 1015 11 
12 2715 35 [12 10015 30 
11221856824 
14 2/16 12114 1/16 6 
15 25116 29115 1/16 24 
16 2816 47 | 16 11116 42 
% 291174 1.17-32019---0 
18 29]:7 21| 18 127 17 
v9 29007" 3® þ-*9: 037-35 
20 3o[t7 54 | 22 13/77 49 
21 39113 10 21 14jis 5 
22 31018 25 | 22 14018 21 
23 31018 4023 15018 36 


29 35] 20 5 | 29 Ig]z 1 
＋ 36020 18 | J 1920 15 
1 37120 30] 1 20020 28 
2 37120 43 2 21020 40 
3 38020 54 | 3 22020 81 
4 39%/½z1 64 2221 3 
1 40% 17 [5 2302114 
6 41021 27. 24421 25 
iin, 2813136 
8 43 


Third 
1775 
1783 
'The 
Sun's 
Place. 


1757 


15 4 
Jo 3 


Far 
1779 


'The 

Sun's 

Dec. 
* 
— 


Soutu 
14 29 
14 49 


i 7 
15 26 


16 20 
16 38 
16 55 
17 12 


—— — 


17 29 
17 45 
18 1 


118 17 


18 33 
18 48 
ly 31 
19 17 
19 31 
9 4] 
19 59 
20 12 
20 24) 
20 37 
20 48 
- 4 
21 12 
21 22 
21 33 
21 43 


—_—_ 


WC 2200200 A020 Sad: 20:40:21 av v . xr ies oa 4 i 


—_— —— 


- 


Table of the Sun's Place and Declination. 


277 


| 


r 


\O 0 ls wa 0H we 


110 


— 


DECEMBER hath 31 Days. 


— 


Leap Year. | Firſt Year. | Second Year. | Third Year. 
1776 1781773 1777 |1774 17781775 1779 
1284 17881781 1785 | 1782 17861783 1787] 
The] The Thel The | The| the | The} The 
Sun's| Sun's | Sun's| Sun's | Sun's| Sun's | Sun's| Sun's 
Place. Dec. Place. Dec. | Place. ] Dec. Place.| Dec. 
r r 
£ [South + |South 1 South south 
9 58021588 9 442156 9 2802154 9 12021 52 
10 59022 710 45/22 5510 29022 310 13]22 1 
12 0ſ022 1511 4/22 13] 11 30022 11/11 14422 gf 
13 122 2312 47/2 2112 31122 19 | 12 15/22 17 
14 2122 3113 48/22 2913 32122 27 13 10122 25 
15 3122 3814 4922 3014 33/22 3314 17/22 33 
16 4022 44 |15 50022 43] 15 34/22 40 | 15 18022 39 
17 522 5016 51122 49 | 16 35/22 47 | 16 19022 46 
18 G6[22 5617 52022 55 | 17 36[22 53 | 17 20j22 52 
19 723 118 53/23 o|18 37/22 58 | 18 2122 58 
20 8023 619 54123 519 38|23 319 22123 3 
21 1oſz3 10 20 55123 920 39123 820 2323 7 
22 11023 1421 56023 1321 4023 12421 24123 11 
23 1223 1822 57123 1722 41/3 16| 22 25/23 15 
24 13/23 2123 58123 2023 43/23 19] 23 26023 18 
25 14/23 2324 59123 22 | 24 44123 21 | 24 2823 21 
26 15123 25 | 26 923 24 | 25 45/23 2325 29]23 24 
27 16[23 27 |27 1123 26 | 26 46123 25 | 26 3oſz3 25 
28 17/23 28] 28 2123 27 | 27 47123 27 | 27 31023 27 
29 19j23 28 | 29 3.23 28 | 28 48023 2828 32]23 28 
200/23 28] If 5123 28 | 29 4923 2829 33123 28 
1 21023 28] 1 6[23 28 50023 28 | F 35123 28 
2 22[23 27 | 2 723 27 | 1 51123 27 | 1 3623 28 
3 23/23 26| 3 823 26| 2 53/23 26| 2 37ʃ23 27 
4 24123 24 | 4 10123 24 | 3 54123 24| 3 38123 25 
5 271-23 21] $ 1123 22] 4 $5123 24 4 39123 23 
© 28023 19] 6 12023 19| 5 56[23 20| 5 4123 21 
7 28023 16] 7 13/23 16| 6 58123 17 | 6 4223 18 
8 29j23 1208 1423 13] 7 59/23 14| 7 4323 15 
9 30j23 8| g 163 9| 9 ozz 10| 8 44023 11 
10 3103 3110 723 4 10 1 51 9 45/23 6 


| 


i 4 


( 278 ) 


1 PR on 5 : 
| TABLE XXIIL 8 11 
For changing the Sun's Declination from the Meridian | WW 
| of Greenwich, to any other Meridian, or ta any 
Time of te Day. 
— 1 |; 
| Difference of Longitude from Gr-enqvich, or Time befo;c £ 
or a:ter Noou, 8 
| T 
"2% : N | E 2 
AL Deg. 15. 30456075 [9105120 [1:5 1,5: i189 p 
22 Hours. I. II. III. IV. V. WIT VII. V. I. IE.. XG 9 
wo 5 TW: | RE Cn A 
Min. Min. / 1 / # SS / EE A 
VE Rs fn ogjarojof:of 0:49 046: * 
2 © efofjfof910}j 141 :H143 2+ — 
3 0 %% . Ir 
4 o inen 21242 A 
r 1. 
6 O n 2 2 2121319 Pl 
71 ine e A 
ir eee © 
Fol e [iff [2f2Þ .o0 3a la fell a 
1106 % f[aſnſ2|212| 31 3 [4455 Wa 
$264: © JUITTBI39T3E 31.4 LEIS-TSHS [T 
2.5 DES SALSA IWEM WESANS 2! N 
zee boy 
FF {1 
[294.03 EI-S4 3-13 4-44 44-3$-$OFCI24H Se 
} 16 I 1.23344 5 6 1617-17 8 Br 
De In 
18 1 24231476 771849 1. 
91 ii nennen 6 17181919 boy 
120 I 2 2 345 6 7 7 > 9 10 |C: 
| GR ES RF re n In 
121 1 *:13 1431415} 6]: 7-18 } @ jto jt 
122 1 234562189 ſiö T. 
23 I 234586 7] 8 Tg frojrr pt T. 
24 k 2 7 &1-$-16 | 7 8 9 10 11 121 bo 
NT, x 8 f r n N E 
Pr. 
Po 
Cri 
Oo 


( 279 ) 


[TABLE XXIV. Of the Right-Aſcenſion and Bech. 
nation of the principal fixed Stars. | 
EF „ f = 4 "0 
7 EE Declinat. 
NAMES of the STARS. [29912 8 | 
13 5 m1 7 | 
Algenib, in the Wing ot Pegaſts ; ” 2% 2113 59 N. 
In the Head of the Phoenix . . «+. fe 21o 15143 33 8. 
Schedar, in the Breaſt of Caſſiopen . |z 2{o 28155 20 N. 
The bright Star in the Tail of the Whaleſg 210 33119 12 8. 
In the Girdle of Caſſiopea . . |, 200 43159 31 N. { 
—̃̃ — — —— — — 3 — 1 
Pole-Star, in the Tail of the Little Bearſa 200 46188 8 N. I 
South. & in Andromeda's Girdle, Uri 210 57134 27 N. [ 
Achenar, the Spring of the River Eridanusſa 1ſt 3oj58 21 8. 
Almaack, in the Left-Foot of Andromedaſy 211 goj41 16 N. 
The Head of the Male Hydra a 2 I 53652 39 8. 
— — ä = 
In the Jaw of the Whale, Menkar . {a 242 7 3 13 N. 
Argol, in the Head of Meduſa * + 18 22 54149 6N.} 
The bright Star of Perſeus, Algenib . ſa 2j3 949 4 N. 
Pleiades, wulgo 7 Stars, in Neck of the Bulls 313 3423 25 N. 
Aldebaran, South Eye of the Bull a 11 23116 3 N. 
— —⅛ — — - — _ ; 1 
Capella, in the Left- Shoulder of Aurigaſa fs ol45 46 N. it 
Rigel, the bright Foot of Orion 16 48 28 8. 
The North Horn of the Bull „245 12028 24 N. 
The weſtern Shoulder of Orion . r 215 1 6 8 N. 
Northermoſt Star in the Belt of Orion . % 205 2s] © 29 8. 
{Middle Star in the Belt of Orion . f 2j 25 0 21 8. 
Southermoſt Star in ditto . + RN $408 3% | 
Bright Star in the Dove . _. 4 215 32134 12 8. 
In Auriga's eaſtermoſt Shoulder 2]5 43/44 54 N. 
[The eaſtern Shoulder of Orion, Beteigeuſeſa 1f; 43] 7 21 N. [ 
3 1 EY e T2 2 | 
|Canobus bright Star in Poop of Ship Argoſa 1 6 19152 35 8. 
In Feet of Gemini . „ 216 25116 34 N. 
Sy rius, bright Star in Great Dog*s Mouthſa 16 35 16 25 8. 
The Back of the Great Dog <. ſ%6 217 oſz6 3 Ss. 
The Throat of the Great Bog . [a 207 I 5128 53 8. 
i Caftor, in the Head of Northern Twin E 1 7 2 32 21 N. | 
Procyon, in the Little D Rg . fa 27 28| 5 47 N. 
Pollux, in the Head of che Southern Twin 2 217 32128 33 N. 
bright Star in the Oars of Ship Argo . | 1 11161 49 8. 
Cor Hydre, ar Alchard 1 E. 222 3 81 


280 Right - Aſcenſion and Derlinnt. of Jixed Stars. 


_ — 


O— 
> A 


NAMES of the STARS, 


Regulus, the Lion's Heart ©. 
Northermoſt Pointer i in Great Bear, Dubhe 
Deneb Alaſed, in the Lion's Tail 

S. following ia Square of the Great Bea: 
The laſt in the Squire of the Great Beat 


„ 


The Head of the South Croſs p 


Aleath, in the Tail of the Great Bear 
The Virgin's Spike, Ariſta 


9 


'12Yery 
nugeyy 


SY WR R 


Southermoſt Star of Croſiers, Foot of Croi:|z 


The following Arm of the Croſs . . 1 


Middle of the Tail of the Great Bear. 
Laſt Star in the Tail of the Great Bear 
Weſtermoſt Foot of Centaur 

Arcturus in Bootes , 

The bright Star in ſecond Foot of Centaur 
n Scale of Libra ; ; 
{Northern Scale of Libra - . 
Bright Star of the Crown . 
Bright Star in the Serpent . . 
Northern Star in Scorpion's Forchead . 


— — 


un 
— 


tw ND DN - 
— 
— 
2 
CO 


mm 8 2 22 
— 
dd 
UW 
Wn 


[antares, or Scorpion's Heart . . (@ 1116 1625 53 S. 
Bright Star of the Southern Triangle. 216 25]68 36 8. 
Ras Algethi, in the Head of Hercules , 27 5[14 39 N. 
The End of the Scorpion's Tail 2117 19030 55 8. 

E= of Ophiuchus «. a 2117 25/12 44 N. 

[Bright Star of che! Harp, Lyra . 1118 30138 35 N. 
Altair, bright Star in the Eagle G 20 4o| 8 18 N. 
Peacock's Eye . . . . 220 B8j57 25 D. 
Swan's Tail A 2120 34144 30 N. 
Weſtermoſt Wing of the Crane 5 . 221 54/48 18. 
Fomalhaut, in Mouth of Southern Fiſh 122 45130 47 8. 
In Shoulder of Pegaſus _. . ö 2.22 53120 54 N. 
Markeb, in Wing of Pegaſus . % 2022 54/14 2 N. 
The Head of Andromeda . 2022 57127 53 N. 
The Chair of Cafſiopea . . 2123 57157 56 N. 


( 281 


} 


— 


TAU . 


For the Norib- Star. 

ime the | Trims the 
Starisdiſ-| Star a- || Star is diſ- Star a- 
tant from] bove or I tant from] bove or 
the Meri- below the the Meri-| below the 
dian. Pole. dian. Pole. 
Hrs Min.| © 7 Hrs Min.| * 

3 1 56 . 

© 15 I 50 4 3 

9 30 1 3 30 1 1 

9 4 3 45 NOV HE. 

1 e 

1 1 '$9 3 8 

„„ 1.3: 47 3 | 9:44 
T:-46-1:34- 46 #4435 1.037 

e ER. FS hs OE 

2-16-14 46 BY 3. 69 {© 22 

3 1 2 3 30 o 15 
in Le 
E 3 3 


O o 


„ 


— 


TABLE XXVI. 


For correcting the Time found, by correſponding equal Altitude; 
of the Sun. | 


Latitude 40 Deg. | Latitude 50 Deg, 


Latitude 60 Deg. 


Latitude 30 Deg. 
Hours betw. Obſ. 
2 
36154416544 
n 
= 
N. Decl.] S. Decl. 
8 
AHHHEHE 
ol efgl#G| gl 8 
11 9 g! f] ol © 9 
2| 9} 81 $1 9| v1 9 
3] 8 8 7hio 9f 9 
4| 3] 8| 7j10j10] 9 
588 7ſt 
6] 3} 7] 6j:0j10110 
7 7] 71 6jrojro[ro 
817 7 Grol10|to 
9 74-9 6.010 
10] 7] © 8101010 
17 6 6 010010 
121 6] © 5h10/10[10 
13] 6 5] 510109 
i134} $] 5J Sto 91 9 
15 5} $1 4] 91 9] 9 
16 544/990 
1843685 
191 3] 3] 2] 81 8] 8 
20] 3] 2] 218 717 

a1. 21 44-27-74. 
22} 1] 1] cc} 6: 6 5 
3] o| © 4313 2 


Hours betw. Obſ. II Hours betw. Ob ſ. [ Hours betw. Obſ 


* 


% $294Jac} 


O 


— 
O DA RT SOTO 2» eve lo 


* [4 * 
: 
= 5:0 cow e [n+ w euern 


* 


— 


wm Nw Un Un o | a 


Tze Correction is ſubtractive from Dect 
:nd additive from June 21 to December 2 


2 ů — 


mber 22 to june 21, or in aſcending Sines; 
or in deſcending Sines. 


— 
ht 


| 


2 2 
3 


— — 


3 r TF = + Ad a «a % * 


* 


P 


a hs "WY +. % *  ” == ©” x © ws * TR. © * 


| 


«4a aa = 


( 283 ) 


TABLE XXVIE Or the Moon's Paratiax m Altnuae. 


Moon's) The Moon's Horizontal Parallax. ET 
bo-Alty 54' | 5" | 56' | 57 f 58 | 59! j . 61/ | 614 
| |54-0]55-0156.0]57.c|58.0|59.0|60.0]61.0|61.5 
2 | 54-0 3-44 56.0 57. 058.0 59.0 | 60.0| 61.0 61.5 
| 3 [53-9]54-9|55-9|56-9|57-9|58-9| 59.9] 60.9| 61.4] 
4 |$3:9|54-8]55-8]56.8]57.8] 58.91 59.9] 60.9| 61.4 
5 153-8] 54-81]35-8]56.8|57.8]| 58.8] 59.8 60.8|61.3 
6 153-7] 54-7 [55-7 | 56-7 [57-7 | 58-7 |59-7|60.7|61.2 
7 |53-6]54.6]55-6] 56.657. 58.6] 59-6 60.6| 61.1] 
8 [53:5]54-5]55-5|56-4|57-4|58-5159-5| 60.4 | 60.9 
|__2_53:3]54:3]55 3] 6-3] 57:3 |58-3]59-3]09-3| 60.8 
lo {53-21 54-1]55-t|56.1| 57.1] 58.11 55.1] 60.1 | 60.6 
it 153-0] 54-0[55-0156.0| 56.9] 57.9] 58.9] 59 9] 60.4 
| 12 [52-8] 53-81548]55.8] 56.7|57-7]| 58-7] 59-7 | 60.2 
13 [52-0153-6]54-0] 55.5 |56-5]57-5[58-5|59-4| 59-9 
14 52.453 4]54:3|55-3|56-3]57-2|58-2| 59-2] 59.7 
| 15 | $52-2[53-1]54-1] 55.0|56.0|57.0]58.0| 58.9] 59.4 
16 51.9 52-9 [53-8 54+8 55.856.757. [58.5 59.0 
7 [51-71520155-0] 54-5 |55-5156-4|57-4|58-3] 58.8 
enen 
19 51.152.053. 953.9 54.855 ˙850.757.7J58.2 
| 20 30.851.,752 653.6 54.5[55˙5[56.4 57.3 57.8 
| 21 [$0-4]51-4|52-2153.2|54-1]55-1] 50-0] 50-9} 57.4 
22 ]go-1]5i.o0f5lg| 52.7 [53.8]54.7| 55-61 56.5] 57.1 
23 [49-71]59:0]51-5]52 3|53-4|54-3]$5+2[50-1] 56.6 
24 | 49-3] 50:2|51-1|52.1153.0]53-9| 54-8| 55-7] 56.2 
25 [45-91 49-8150-7|51.7152-6]53-5] 54:4] 55+3] 55-7] 
26 [48.5] 459-4|50-3]51.2|521{53-0]53-9] 54-8] 55-2 
[22 |45:1[499149:9] 52-3 |51-7|$2-61 53:51 54-3] 548 
25 [47-7 ]458-0|49-4| 50.3|51.2|52-1]53-0|53eB| 54.3 
29 147-2145 1149-9] 49-9 | 50.7|51.9452-5] 53-3] 53-3 
39 46.847 648 5] 49.4|50.2|51-1]52.0|52:8] 53.3 
31 |49 3]47-1]48-01 48.9] 49.74 50.6|51.4| 52-3] 52.7 
32 [45-58]40.6]47-5| 48-3] 49-2| 50-0]50-9| 51.7] 52.0 
33 [45-31 40-1[47-0]47-8]48 6|49-5|50-3|Sl-L1] 51.5 
34 [44-3] 45-6] 46-4 | 47-3 | 48-1 | 48-9] 49-7 | 509-7] 51-1 
35 [44*145-1145-9| 46-7 [47-5] 48-3[49-1] 50-0] 50.4 
39 [3:7 [41:5[453] 4:1] 46.9]47 7] 43:51 49:3 49-7 
37 143-1]43-9 | 44:7 | 4555 [40 3] 47-1] 47-9145-7 1 49-1 
38 1] 42-01 43-3] 44-1 [449] 45-7 4654730481 48-5 
39 42.0 42.7 43-5] 44-3| 45-1] 45-9] 46.6474 47-8 
40 41.4 42.1 42.9 4357 [44.445 · 246.0 46.7 47-1 
4: 40.8 41.5 42.3 43.0 438445 [46.3 46.0 46.4 
12 40.1 40.9416 42-41 43-1] 43-9[44-0]45+-3] 45-7 
43 | 39:5]4%2[41-0]41.7 |42:4|43-9]43-9] 44-6] 45-0 
44 |388| 39.6] 40.3|41.0| 41:7 [42.4 [43-2]43-9] 44-3 
45 | 38-21 38.9 39.5 40.31 41.0141-7142.0143-1] 43-51 
r 


234 Table of the Moon's Parallax in Altitude, 


s o * . * * . . 
WA 
© ow * . * . . * 


| 


lo dv D am 


10 ww — 88 N 
JO = — NN ww + ur OW 


IO OD DD DAN 


* The Moon's Horizontal Farallax. 


0 \O 
cow 


ee trove of ag ae 
1000 OOO o& &©& 


— 


o Sega e 


60% 


41-7 
40. 9 
40. 1 


oo 
+ 


* 


2 5 © 


— 


617 


42.4 
41.6 
40.8 


40. o 


39.2 
38.4 
37.6 
36 7 


$5-3| 35:9 |36- 


O 
O 


lo = © w ww os Þ wn on 


Jo => 02 


© oy * * LY - 
—1 


S ud Un ON. OS 
O DO Va.+Þ > + w.0q\ 


| 


( 285 ) 


—  - ww . ⁊ũ 2 * 


— — 


TABLE XX VIII, 
Of the Dip to be al- 


an Altitude taken, 
when an open Ho- 
rizon cannot be 


apparent Tnterſec- 
tion of the Sea and 
Land. 


_ 


—_—_ 


Diſtance |Height of the 
of the | Eye in Feet. 
Land in 
Sea Miles. 1011727139 
1 22038 61088 
7 11119130144 
4 8013 2z00(29 
1 6J10[15|22 
12 5 81218 
14 47115 
2 3] 5] $]12 
22 35070 
. 
32 3467 
4 31416512 
5 3] 4| 5] © 
ribs 


lowed, to reduce| 


TABLE XXIX. 
Of the Length of 


ſeen ;, but only the 


the Knots of th 
Log-line for dif- 
ferent Glaſſes. 
Seconds | Length 
of of 
Glaſs. | Knots 
Feet. In, 
34 1:48. 7.0 
2 41 8 
- 43 4 
27 | .45 2 
28 46 8 
29 | 48 4 
30 50 © 
31 | 
32. 3:53. 4 
33 5 O 
34 58 8 
4 
O 


N 
| 
| 
| 
| 


| 
; 


— — 


PIT. oo dal | . 1 — InEg 1 — 
AB. XXX.“ 
225.5: 4 TABLE XEXL rn 
}f the Domini-. 4 | # | 
cal Leſters, © 1 Of Number 
Prime, and | Of the Moon's of 
Epact. Sou hing. Months, 
1 Moon's South Moon's 1 
| 7 A Age. | ing. | Age. | n e 
2 24 | 
[Yrs|3 Blale| | February 2 
231518 Days. h m.] Days. March | 
* — 1 — - a 
11773 C | 7 110 4316 | E 1 
1774) B 75 17 3 307 April 2 
11775] A 95 | ', 343-8} 8480S . j 
Err 
11777] E |11]zo E 54 olzo 5 june 4 
1778 D 12 il E 6 4 48021 = ! | 
11779) C 3% |< 715 3622 2 July . 
1780 BA 14023 | 2 8 6 2423 * Auguſt 9 
1781] G 15 a 0197: 33134 8 }- 
50s F feli [7 1018 des September 8 
1783 E 17126 E 11] 8 48j26 8 October 8 
1784 DE |18] 7 S 129 36j27 © N * 
11785] B 1918 130 24123 Provember ue 
117860 A1 14411 12429 | [December 10 
11787] G 211 1512 ofzo | 
{1788| FE | 3122 F ; | | | 


To find the Moon's Age, Southing, and the Time of High-Water. 


In Table XXX. find the Epact for the Year; then to the 
Epact add the Day of the Month, and the Number of the 
Month found in Table XXXII. The Sum, if leſs than zo, is 
the Moon's Age; if more, the Exceſs above zo is the Moon's 
Age. : 

888 the Moon's Age, in Table XXXI. is the Time of 
the Moon's Southing ; to which if what the Sailors call, the 
Flowing, be added, it gives the Time of High-Water on the 
common Principles: But more accurate Methods will be ſhewa 


im our Treatiſe on Navigation, 


TABLE 


63 


„„ 


ta 


_ 


TABLE XXXIII. 


ah 


; 


Tor the ready finding the Day of the Month the New 
Moon will fall on, till the Year 1900, (and, con- 


ſequently, the Moon's Age, for any Day,) by 
knowing the Golden N umber. 


— A u 


. 


1 


—— 


[S IEIS He look lol [a lu | v | - qunN uap[09 


— 
— 


> 


—. 
T7 


E 


— 
_ 


EIL 


"wn 


AS ISL [Se 8] woo man 


AM 


| *Azenueſ 


— 
— 1 


E 


da 
21 


— 


— 
— 


[| 


MNNHNY 
etal gotwt 


ta 
— 


„* . — 


8 


SIe ls IS LE Ae wow may | Harney 


3-81-52 l|okſuls|s]| wwoow wa | 


1 


Pie 


= 
*J 


— 


| -pady 


Ae roo man 


| 


TEADSSTTHOWT 


— 


2 


r 


ofalS1818E:1 


— 
— 


S1— 


Bl 


EAA 


— 
— 


— 


'& | | 6 v may | unf 


— 


uoo HN | *Ajnſ 


[Sl 
N 


—— 
ww 1H 


Iv 
N 


12 


* 


uo MON | -ynJny 


MN 
+ 


— 
— 


to 


N 
O 


O 


N 


— 
— 


WA 


— 
wy 


— 


dv 
to 


| 
— 
O 


| EE 
©f ©] 0 


—_— 


uoo MIN | *12qu2zdag 


MN 
N. 


— 
N 


| 
2 
O 


ond {| 
8 


tv 
— 


O 


U 


+ 


Selb. HAI 


FE 


— 
2 


N 


20 


2 


— 


_ 


” 


uo , -| n 


— 7 


v le AHL TSH roo may | wN 


Slelz'g || 


c —_— 1 * 8 hs. „* * — 


[» 15 Rlel: 
= 
2s 85 


P * —_ — 
_ — 


- 


J *v00] IN | *12qua22Iq 


PEI I" tt. Mt. As... Mt. A. Mt. MC. Att. Mit. 


"I w 4.4 


\Q 


By: 


No 
1 


| 


| 
as © 


WI 


to 
— 


= 


b⅛owm pp RC... tt... A 
* . 


8 


| 


& 


| 


Q\ 


a 


— 


N 


1 
WW 


0” 


, © "TI 


[ 


— 
= 
Ls - | 


1 : 17 
( 288 ) 
I — -— 
TABLE XXXIV. For finding the Diſtance of O5. * 
jf;elts at Sea. | 
Dit, 2 TL Din. > £ Diſt, 8 *: Dit 2 
in Des- in "= in w,=| ; vl - 
Miles, |E 5 | Miles, 3T Mites 3 = Miles, 17 
8.914 240 | 18.969 760133 756 22 50 58.083 2 
9.163 || 245 [19-165 || 280 34.297 2300 58.725 - 
9-405 || 250 [19.360 |} 800 34.633 [| 2350| 59.360 | JF 
9.641 | 255119-553 |} 820]35-063 2400 59.988 1p 
| | 9.872 || 260]19.743 || 840 35.488 24 50 | 60.609 IQ 
10.097 265 [19.932 || 860 135.908 [25061225 1 8 
| 10.317 270 f20-119 | 8801 36-323 [2550161834 iF 
10.533 if 275 [29-305 I} 900 [36.734 fl 2600] 62.437 | 45 
10.745 || 280 [20.489 || 920 37-140 || 2650] 53.035 73 
10.9 52 285 [20.671 40 37.541 29co|[63.626 | 2 


11.156 290 [20,851] 960 37.938 275064213 
11-355 || 295 [21.030 980 38.332 [2880 64.794 
11.552 |} 300 121.205 | 1co0| 38.7228 5065. 370 
11.745 310 [21.558 || 1020 | 39.297 jj 2909 65.941 

11.932 320 21.903 1060 39.86 2950 66. 507 
12.121 |} 33- [22.243 || 1c90 49-426 |} 20001 67.068 | 
12.395 | 542 [22.578 1120 [40.978 | 3050 67.625 | 
12.457 |} 350 [22.907 [| 1150 [41.524 || 4100] 68.177 | 


Aug utt. 


| 12.666 || 360 123.232 || 1180 [42.062 [3150 68.725 | 
12.842 379 123-553 121042. 503 3200 69.268 N 1FF 
| 13.016 || 380 [23.869 || 1240 [43.118 32 50 09.807 . 
13-188 390 [241817270 [43.656 2300 70. 342 K 
13.357 400 | 24-43 [| 1300 144-149 3350 70.873 | 3 
13.525 410 124-793 || 1330 44.653400 7 140 2 0 
13.690420 [25.094 136045. 156347071923 2 
13.853 4225.391390 45.651 350 72.443 Q © 


14.015 440 [25.634 || 1420 [46.143550 72.958 
14-174 || 450 [25.974 1450 |.46 629 360073470 
14-332 || 460 [26.261 || 148. [47.106 [3650 73.979 
14 4851] 470 [26.45 [| 1510147.581 || 3700 174-434 | 
14.642|| 480 [26.826 || 1540] 48.052 || 375074 985 | 

- 


14-795 490 27.104 | 1550] 48.517 | 3500 75-484 
14.995] 520 27.379 || 1600 48.979} 3850175 979 
15-244j] $10 [27.652 [163049 436 3900 [70-471 


15.488 [[ 520 27.922 ||1660| 40.889 3950 76.0 9 
15.728 JI 530 [28.189 || 1690 | 50.338 4000 77-445 
15.965 ][ 540 [28.454 || 1720] 50 782 [40 50 | 77-927 


8 


i. 


18.366 f 700 | 32.396 ||2100 | 56.113 || 4600| 33.051 | 
18.569 || 720 | 32.355 P2150 56.777 || 4650} 33.501 
18.770 40 


38 | 16.198 [[ 55% 28.716 1750 51.223 [4100 78-407 | 
| 16.427 || 560 [28 976 [| 1780] 51.661]]4150| 78.354 | . 
16.654 $79 29.233 1810 52.094 4200 79-358 [> N 
16.878 530 29 489 || 1840] 582.5244250 79.829 33 
| 17.095 | 550 [29.742 || 1870] 52 951 || 4300| 80.297 18 
| 17.316 |} 600 [29.994 || 1900] 53.374 || 4350] 80.762 SIQ < 
| 17.531 629 130.4% [| 1930153 793 || 4400| 51.225 | TIE 
| 17 744 j| 649 [35.026 || 1960] 54 210 445% 81.685 MN 
| 17.955 652 [31.457 || 2000 | 54.761 || 45co} 82.143 | = 
| 13.262 || 680 31.930 | 2050 | 554141 || 4550] 82.508 | 


rel 85225 


| 


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232 wy (ie Liz 610 1 61[w1 120” o zzſ 11 22] wor zi ol fz 6 920% g Fel w 4 9206871 
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2 WWosgdg ACLELSLIS SAECALIZCIS: - wand och a ndnyg * Ao Suan A -zr al Gaar 982 *Agunu?t M22 7 


( 290 ) 


i ug in 
- ef 
Supplemental Table to Table XXXV, 2 ; 
£ . 2 ch, 
Moon's} Highwater | Moon's} Highwater Time 
Age. later than at Age. [later than at nota 8 
new Moon. full Moon = 
— —— = I 
ays. h. Þ} Days 3 5 hoſe fe 
EIN oO 44 16 o 56 1 
2 1 422 17 1 24 |} an 
3 1 56 18 1 due! 
4 2 28 19 2 40 ** 
II * 
od + ve 1 I ich ca 
[2.56 4 24 || 22 | 4 39 | EN 
8 5 12 23 8 22 
| 6 | i 
F 7 1 21 b 16 Il be f. 
4 25 7 i 
11 A 26 8 22 | oh 
nloninl 2s 5 
13 10 15 28 10 30 8 
14 | 11 16 29. 11, 38. - 
LEE lH Hh. Me 10 
After new Moon ſheſ After full Moon ſh bh, 8 
comes tothe Meridi · comes to the Meridi-| 130 
an in the Afternoon. an after Midnight. td © 


To find the Time of high Water by this and Table XXXV. Ty 
Find the Moon's Age by Means of Table XXXV. by counting the Nut 
of Days elapſed fince the laſt new Moon to the Noon of the Day on whic 
Tide is required; then, correſponding to the Moon's Age in this ſupplem 
Table, take out the Hours and Minutes, to be added to the Flowing © 
Place, (that is to the Time of high Water, at that Place, on new or full Mc 
for the Time of high Water required, 
Example. Required the Time of high Water at London, Auguſt 10, 
In Table XXXV. it is ſaid the Moon changes the 5th of Auguſt at Noon, 
which, the 1oth Day, Noon is diſtant five Days. In this ſupplemental T 
. againſt the Moon's Age, $ Days are 3 hours 2 minutes; to which, adding 
Time of Flowing, at Full and Change, at Londen, 2h. 8/, (taken out of 
XXXVII.) gives the Time of high Water, 5h. 10% in the Afternoon. B 
the Time of the Morning-Tide is required, it may be obſerved that there ſtan 
the Table againſt the 4th Day's Moon's Age, 2h. 28“, and the 5th Day 35 
their Difference is 34! for two Tides, Half of which, 17/, taken from 5b. 
the Time of high Water in the Afternoon, gives 4h. 52/, the Time of 
Water in the Morning. | 
N. B. In all the Books of Navigation, at leaft all I have ſeen, the Tit 
high Water, at London, at Full an Change, is given at three o' Clock. WM 
ally betrays a great Degree of Indolence in Authors of Treatiſes of Navis: 


291 )' ; 
og in London, not to have obſerved the Time more accurately, The Time 
Live given was determined by two Obſervations I made juſt below London. 
ige; but, not having proper Inſtruments with me to find the Error of my 
ich, there may be an Error of ſome Minutes; but I am folly ſatisfied that 
Time I have given, viz, zh. 8, is much nearer the Truth than 3 Hours. Is 
wot a Shame that the Flowing at the firſt maritime City in the World ſhould - 
have been accurately ſettled ? And, if this is the Caſe in London, what 
"rs may we not expect to find in the common Tide-tables in other Places! 
ole few Flowings, which 1 have marked with in Table XXXVII. may be de- 
ed on to a few Minutes, being either actually obſerved by myſelf, or others 
oſe Veracity may be depended on. 
This Method, being Something more correct than the common Methed, given 
Face 286, may be uſed in Preference to that; yet it is far from accurate 
ly on Account that the mean new Moons frequently differ ſeveral Hours, 
etimes Half a Day, from the true Times, and partly from other Cauſes, 
ch cannot be treated of in this Place, Therefore, when there is an Alma- 
or Ephemeris, for the Year, on-board the Ship, which is generally the 
would recommend the Method given by Table XL. in Page 349, which 
Il be found as accurate as can be 3 expected for ſo uncertain a Thing 
the Tides, their 1 prey being diſturbed by ſo many Cauſes, 
Take an Example of the Uſe of that Table, viz. Required the Time of high 
ter at Briſtol, June 28, 1769 ? \ 
By an Almanac, for that Year, the Moon was in her laſt Quarter the 27th 
yat One in the Morning, from which, the 28th Day, Noon is diſtant 1 Day 
Hours, called the Interval after the laſt Quarter, againſt which, in Table XL. 
bh. 87; this, added to the Flowing of the Port, which, for Briſtol, is 7h. 47, 
13h. 127; or, as it exceeds 12h. ſubtracting 12h. gives ih. 12/, for the 
nated Time of high Water, viz, 28th Day, one Hour nearly, a few Minutes 
being worth regarding in the e//imated Time, Now the eſtimated Time the 
Day, one Hour, is, after the 27th Day, one in the Morning, the Time of 
lat Quarter, 1: Day 12h. which being the true Interval after the laſt Quarter, 
oſt it in the Table 6K? 117; this, added to the Flowing of the Port, 7h. 40, 
es the true Time of high Water in the Afternoon, 1h. 15!, differing from the 
kfved Time that Day only three Minutes, at the ſame Time that the common 
od erred 3h. 1“. 


put, if it had been required to find the Time of high Water in the Morning, 


ed as 1h. 127 in the Morning of the 28th Day. Now the 28th Day, Ih. in 
Morning, is, after the laſt Quarter, which was the 27th Day, 1h. in the 
wing, an Interval of one Day, againſt which, in the Table, are 5h. 34', to 
added to 7h. 4', the Flowing of the Port, which gives 12h. 38! for the Time 
high Water in the Morning. | 


N.B. In the Table, Column the third, the Title ſhould have been printed, 


1 fue the firſt or laſt Quarter. 
ch, 
of 
Tit 


the eftimated Time of high Water, above found, Ih. 12/, muſt be conſi- 


( 290 ) 


Supplemental Table to Table xxxv. 


[Moon's] Highwater j Moon's} Highwater 
| Age. [later than at Age. [later than at 
new Moon. ; [full Moon 
[ wy] Þ.* Days 1 Me. * 
[9-78 0 44 16 o 56 
> 12 1 22 17 1 24 
3 1 56 18 1 
4 2 28 19 2 40 
5 83 20 3 14 
3 40 21 3 
7 4 24 22 4 36 
8 s 15 23 & 22 
3 5 4 || 24 6 16 
10 EM 25 7 18 
11 3 26 8 22 
12 9 12 27 9 26 
1310 15 28 10 30 
14 | 11 16 29 11 32 
I5 12 12 2941 12 12 
After new Moon ſnheſ After full Moon ſhe| 
comes to the Meridi-· comes to the Meridi- 
Jan in the Afternoon. ſan after Midnight. 


To find the Time of high Water by this and Table XXXV. . 
Find the Moon's Age by Means of Table XXXV. by counting the Num 
of Days elapſed ſince the laſt new Moon to the Noon of the Day on which 1 
Tide is required; then, correſponding to the Moon's Age in this ſupplemgr 
Table, take out the Hours and Minutes, to be added to the Flowing, of 
Place, (that is to the Time of high Water, at that Place, on new or full Moo 
for the Time of high Water required, _ | R 
Example. Required the Time of high Water at London, Auguſt 10, 1 F 
In Table XXXV. it is ſaid the Moon changes the g ch of Avgult at Noon, 
which, the roth Day, Noon is diſtant five Days. In this ſupplemental Til 


. againſt the Moon's Ape, F Days are 3 hours 2 minutes; to which, adding ** 
Time of Flowing, at Full and Change, at Londen, 2h. 8/, (taken out of F oh 
XXXVII.) gives the Time of high Water, 5h. 10% in the Afternoon. But, ;. 
the Time of the Morning-Tide is required, it may be obſerved that there lands, 


the Table againſt the 4th Day's Moon's Age, 2h. 28, and the 5th Day 3b 
their Difference is 34! for two Tides, Half of which, 17/, taken from 5Þ. 
the Time of high Water in the Afternoon, gives 4h. 53/, the Time of h 
Water in the Morning. | 1 ä — 
N. B. In all the Books of Navigation, at leaſt all I have ſeen, the Tine 
high Water, at London, at Full an Change, is given at three o' Clock. It 


ally betrays a great Degree of Indolence in Authors of Treatiſes of Navigy 


( 291 ) | 

vg in London, not to have obſerved the Time more accurately, The Time 
ne given was determined by two Obſervations I made juſt below London. 
ige; but, not having proper Inſtruments with me to find the Error of my 
nch, there may be an Error of ſome Minutes; but I am folly ſatisfied that 
Time I have given, viz, zh. 8/, is much nearer the Truth than 3 Hours, Is 
ot a Shame that the Flowing at the firſt maritime City in the World ſhould 
have been accurately ſettled ? And, if this is the Caſe in London, what 


ſe few Flowings, which I have marked with “ in Table XXXVII. may be de- 
led on to a few Minutes, being either actually obſerved by myſelf, or others 
iſe Veracity may be depended on. 


ſhis Method, being Something more correct than the common Method, given 
ly on Account that the mean new Moons frequently differ ſeveral Hours, 


ch cannot be treated of in this Place, Therefore, when there is an Alma» 
or Ephemeris, for the Year, on-board the Ship, which is generally the 
would recommend the Method given by Table XL. in Page 349, which 
be found as accurate as can be 3 expected for ſo uncertain a Thing 
de Tides, their Regularity being diſturbed by ſo many Cauſes, 

ke an Example of the Uſe of that Table, viz. Required the Time of high 
er at Briſtol, June 28, 176g ? ; 

an Almanac, for that Year, the Moon was in her laſt Quarter the 27th 
at One in the Morning, from which, the 28th Day, Noon is diſtant 1 Day 
ours, called the Interval after the laſt Quarter, againſt which, in Table XL. 
th, 87; this, added to the Flowing of the Port, which, for Briſtol, is 7h. 47 
$ 13h. 127; or, as it exceeds 12h. ſubtracting 12h. gives ih. 12/, for the 
wed Time'of high Water, viz, 28th Day, one Hour nearly, a few Minutes 
deing worth regarding in the e//imated Time, Now the eſtimated Time the 
Day, one Hour, is, after the 27th Day, one in the Morning, the Time of 
Ja Quarter, 1 Day 12h. which being the true Interval after the laſt Quarter, 
Juſt it in the Table 6H 117; this, added to the Flowing of the Port, 7h. 4“, 
W the true Time of high Water in the Afternoon, 1h. 15/, differing from the 
Ned Time that Day only three Minutes, at the ſame Time that the common 
g. Wd erred zh. 1“. 


we imate Time of high Water, above found, 1th. 12/, muſt be conſi- 


o, y d as' Th. 127 in the Morning of the 28th Day. Now the 28th Day, ih. in 
1 Tat Morning, is, after the laſt Quarter, which was the 27th Day, 1h. in the 


ing, an Interval of one Day, againſt which, in the Table, are 5h. 34', to 


971 ded to 7h. 4% the Flowing of the Port, which gives 12h, 38/ for the Time 
| » ligh Water in the Morning. bs : : 
unge B. In the Table, Column the third, the Title ſhould have been printed, 
1 gh, re the firſt or laſt Quartcr. | | 

n 5h, 


e of h 


Pp 2 


un may we not expect to find in the common Tide- tables in other Places! 


fage 286, may be uſed in Preference to that; yet it is far from accurate; 


times Half a Day, from the true Times, and partly from other Cauſes, 


it, if it had been required to find the Time of high Water in the Morning, | 


In _—_ 


—— 


( 292 ) 
TABLE XXXV.“ of Difference of Parallax and Re fraction, to be added to the ap. T 
parent Altitude of the Moon's Center, to find her true Altitude, | 


| © | Moon's hor1z9ntal Parallax. 
7 


DdAltde. 


ieee 
Correct Correciſ[ Correct Correct Correci Correct Correct Correc Cotrec I R 
„ . TP LY HEE 2 
234 22134 543 25135 54136 23136 83037 23137 53138 23 3 
3128 20038 50039 2c|zg 50140 z golgt 2041 Folz 20042 504 
34 11484 3:2 itz 31143 1143 31144 1144 39145 145 3 5 
gz $4143 24]43 $4144 23044 54143 23145 54146 23046 5% 2 6 
6144 15144 _45]45__':Þ:5 44146 140 J 14117 44113 13148 af 
45145 14148 44/% % 4,8 


28 


1 0 ( 293 * 0 0 
TABLE of Difference of Moon's Parallax and Refraction continued. 
I. - . 2 
ED ks Moon's horizontal Parallax. Eo, 
38“ of58/ 3040/59“ o[59! 30"160/ of160! 30161! of 61! 3062! of 
Correct Correct Corred Correct Corred Correct Correct Correct Correct 


D Altde. 


/ 1147 117 11! VS 0 11 1 wh! 1 1415 * 
39 239 $3]49 23140 530% 23]41 5342 23142 $3143 23 
43 2043 50[44 20[44 50% 19145 49146 15940 4<]e7 19 
46 90446 30147 
+ 


49 153149 436 
50 150 43151 
50 57561 2651 
51 2651 58152 
10 | 51 5352 22152 


oO ow] ow ww ntye (93S 
* 
— 
wo 
— 
— 
00 
* 


12 52 21152 5053 
1%, 62 28152 57153 
14 | 52 310653 ©1583 
15 52 32153 0453 
116 | 52 852 57153 
7 | 52 24152 $2153 
8 | 52 16152 45153 


Wy 
SET 


= 12 ww - 
oC 
1 
O 
ww 
— 
un 
Wu 
Q© 
. 
— 
* 
to 


| 4 
2 | 51 4zjz2 oſo2 38053 663 34154 2154 39154 $8155 26 
gi 27]51 54,72 22152 5053 1805 45154 4364 4/55 9 


— 2 


— 3 X* RA 


598 23 | 54 meſs 37652 5562 32153 953 27153 5/51 23154 51 
425 24 | 50 5261 1905ç6 47152 1462 42153 2953 37154 4154 3! 
28 25 | 50 32150 5956 27151 54152 21152 45153 15133 43154 10 

> 520 | co 126560 39761 6j51 32152 of52 26152 54153 20/53 48 
45 R 


3152 30/52 $0153 24 
3952 5|52 32152 58 
1251 3952 $152 32 
441 61 3762 3 
22 43510 8851 34 
47,50 

17,49 42150 7]59 32 
4549 1049 35150 © 
1248 37149 1649 26 
2848 3148 27148 52 
347 2747 51048 15 
2746 51147 15147 39 
51146 14].6 38 

13145 36145 596 22 
34144 58145 19045 43 
54144 % 39145 2 
14143 36643 58044 20 
3242 $4143 15143 37 
5002 11042 32142 52 
6141 27/0 4840 9 


TABLE of Difference of Moon's Paralfax and Refradtion continved. 


( 294 ) 


4 


Mocn's horizontal Parallax, 


wi W1 


< TK | 54! ofſ5 4' 30"155! 2 A of 
Correct CorreciſCorreci Correct. Corred Correci Cc rec 
T0 . OTF a7: oo 

7135 16 $7136 171z6 38136 58137 19 
8134 37 1765 37135 5766 17136 37] 
9133 57 3634 561635 16135 35135 55]: 
0133 #6 55134 240314 34134 5365 12] 
1132 25132 13133 32133 $1034 10134 29 
231 54132 3132 4933 5/3 20133 45 
36 1153 47132 5532 23132 4/32 5% 
430 2830 331 21131 39131 56132 I 4 
5129 44130 1930 36630 53131 10jz1 2c 
6129 34]29 5oſzo 7139 24130 41 
7428 15/28 4809 4429 20129 30129 53 
8127 3027 2128 17128 34128 49029 


* 
I 
So 
|S) 
SO 
000 
UI 
2 


ww 
\O 


+ 
© 
00 = tw pw ow 
+ 
V 
oY 
OC 


0 0-mnNjwS+pwua cow& 
20 - [re 


SO" WE, "0p 


r ad | renin Pn 


— 


— 


LES) 
— 


( ) 
TABLE of Difference of M . "Paratiax and Refrad ion continued. 


. 
— — - —— 


IS _ Moon's horizontal Parallix. | 
a= 58“ of; 8/ 3 [59 A5 zo of]6o! zo? 05 I of | 
© | Corr-A[CorreA[Correa|CorreA|Corret|Corret|Corrett CorreAI|Correa 
, , 09: as -. #82 8) 
47 | 33 439 39 21139 4% 2% 22,0 43/48 31 24 
48 [37 $38 17133 38]33 57139 18139 38139 580% r8],0 38 
49 | 37 1462 3367 5368 23138 33138 $2139 12139 31 19 52 
59036 296 43137 857 27137 46138 0138 25138 44139 3 
51 j_35 44139 3136 22136 41137 92 18027 35137 528 15 
52 | 34 $8135 175 35135 $4136 12136 31136 49537 837 26 , 
53 | 34 1234 30134 4135 6135 24135 436 of36 18556 36 
$4 | 33 24133 42134 9954 1714 35134 $2135 10135, 27135 46 
55 | 32 36532 $3133 11133 28133 45134 2134 20134 37134 54 
FO | 31 48}z2 432 22jz3z2 38022 55133 1133 29033 45124 2 
57 | 39 880831 15831 3ijzn 48632 432 20132 36032 53133 9 
58 | 39 96243 4% 50 13131 280631 442 ofzz2 16. 
59 | 29 189 34]29 49j5o 5139 20030 36130 5103 731 22 
bo | 28 27J28 42]:8 57129 120292729 4: 29 57/10 12430 28 
61 27 35/27 $50j28 428 1928 3428 49 29 39 18020 32 
ba | 26 44/6 57/7 n2z7 25|27 407 54128 B28: 22]28 36 [ 
63 | 25 $1j26 4:26 18026 31026 44126 5827 13127 2 27 40 
64 | 24 5825 115 25/25 37/25 5006 3/26 15]26 30026 43 
by | 24 8/4 17/4 30% 4 3204 55/5 B25 21025 32/5 46 
66 [Ic 23ʃz3 35|23 47]23 894 1104 24/24 35/24 48 
7 | 22 1622 27/22 39ʃ22 513 323 14 23 26123 37/23 50 
68 21 2101 32zjzt 43/1 54% El22 17/2 2802 39122 5a 
6g | 20 25/20 36020 47/20 57] 21 821 1921 z0[z1 Fg 51 
70 | 19 2919 40019 sqqzo 120 11½0 2100 31120 4220 52 
418 43118 530 309 1309 220% 330% 42j1g9 52 
7217 37117 4617 5618 18 14118 24½8 338 42] 18 52 
73 | 16 4016 496 5817 17 16% 2%7 35/77 1% 51 
74 15 4315 5116 16 16/16 24/16 331'6 4416 49 
75 | 14 4%/4 5 % 1 is 7s 25/18 32/15 3515 4 
[76 | 13 4813 5chis 2 1o[14 17114 24/4 1/4 39]1a 46 | 
77 | I2 $cJt2 5713 3 aoltz3 47113 2:13 3013 3713 44 
78 | 11 511 5862 4 10 [12 106012 2312 29]12 3572 41 
79 | 10 53flo 581 4 11 1611 21j1t 27 330 32 
80 9 549 5ggfio 5 10 15]/%0 200 ztfio * 10 36 

— 22 An 

7 568 of 8 58S 98 13 8 17 8 28 25] 8 30 

6 3772 7 4J2 87 147 2s| 7 19 7 22]7 26 
84 5 58656 166 46 76 10 6 14/6 176 20/6 23 
% | + 33s [„ aſs 45 s us ws ifs ug, 
8 |_3_ 594 14 3]4 2 gfe . 14 15 
71 3 03 13 43 4/5 $13 39 $03 10 3: 18] 
88 JJ . a3 nM 
89- þ-1 ofr. of 1 111 e 3061 4 
e e oo co ofo, % o %% <o © 


( 296 ) 


Preparatory to ſhewing the Uſe of this Table, it is neceſſary to add the annexe} 


Table by Way of Supplement. 


Table of the Augmentation of the Moon's Semidiameter, 


By the Refraction of the Rays of Light, | Moon's 


(ſee P. 51 of the Uſe of the Tables,) the | gemidiameter. Augmentation, | 


Moon appears to have a greater Altitude 


— 


— 


than ſhe really has, and therefore the Re- | 00 

fraQtion muſt be /ub:rafed. — Seconds, 
The Semidiameter of the Earth bearing a4 © — 

ſenſible Proportion to the Diſtance of the 5 1 

Moon when ſhe appears in the Zenith, ſhe 10 3 

muſt ſub'end a larger Angle than when in 15 4 

the Horizon, as ſhe is then a Semidiameter 20 6 

ofthe Earth nearer when in the Zenith than 25 > 

when in the Horizon. Hence the Number of 30 | 8 

Seconds in this little Table muſt be ada:d to — 46 , 9 

her horizontal Diameter to have her true 1 

Diameter in Altitude. 40 10 
Again. The Semidiameter of the Earth 5 5 11 

bearing a ſenſible Proportion to the Diſtance 50 12 

of the Moon, her Altitude, being taken on 55 13 

the Surface of the Earth, makes her appear 60 | 14 

of leſs Altitude than ſhe really has, and that 70 | 15 | 

Deficiency is called the Moon's Parallax, and } 80, Ke. 16 


conſequently muſt be added to obtain the true Altitude. The Moon's Parallax 


in Altitude is greateſt when in the Horizon, and leaſt, or Nothing, in the Zenith, 


In the preceding Table, for Readineſs of working, is given the Difference of 


Parallax and RefiaQtion, which, as the Parallax is greater than the RefraQtion, is 


additive. 


For an Example, let it be required to find the true Altitude of the Moon's | 
Center; the Altitude of her lower Limb being taken at Sea the 5th of May, 
1783, at Midnight, and found to be 50% 30/ 209, the Eye being eighteen Feet 
bow the Sea, and her horizontal Diameter 14' 46”, as found in the nautical 


Ephemeris for that Year 


Obferved Altitude of the Moon's lower Limb 50 30 20 


+ Moon's Semidiameter 14 46 
+ Augmentation 12 


. 


Sum 50 45 18 


— Dip Horizon 4:9 


Apparent Altitude of the Moon's Center 50 41 15 


+ Dif. Parallax and Refraction 33 25 


. — 
Gives the Moon's true Altitude 51 14 40 


N. B. The Moon's Meridian Altitude being obſerved and correfted, as here 
explained, and her Declination being found by the nautical Ephemens, or 
White's Almanac, for the Year, the Latitude of the Ship may be tound by the 


Rules, given in Page 34, for the Sun or Star. 


—_— 


(297 ) 


— 


TABLE: XXXVI. 


Of the Variation of the Compaſs for the Year 1756. 


Latitude, 
o North. 
Lon. Var. 
W. W. 
Deg. Deg. 
0 1152 
5 134 
10 | 11 
"3.1.9 
20 | 6; 
25 | 4 
30 | 04 
E. 
35 | 12 
40 32 
45] 5 
50 | 62 
E. | W. 
5 | 16; 
Io | 175 
40 | 163 
45 | 14z 
504112 
$5 | 82 
651 6 
65] 43 
„ 
F3 2-3 
E. 
80 | of 
& 14 
go | 1 
W. 
95 | Oz 
too | 1 


Latitude, 
5 North, 
Lon. Var. 
W. W. 
Deg. Deg. 
o | 134 
513 
10 | 113 
15 | 93 
20 2 
25 41 
30 . 
35 | Oz 
49 | 23 
45 | 4 
50| 54 
$5 | Oz 
E. W. 
516 
10 | 173 
45 | 132 
5011 
5583 
601 6 
Go | 44 
70 | 24 
75 | Ot 
E. 
80 | oF 
Bg 14 
go | Oz 
W. 
95 | 02 


Latitude, j| Latitude. 
10% North. || 15* North. 
Lon, Var. Lon. ] Var. 
W. W. | W. V. 
Deg.|Deg. || Deg.|Deg. 
15 10 If 20 | 9 
20 | 8 25 | 6x 
25 | 5Sz1| 39 42 
30 ; 35 31 
o | of 
35 E. 4 E. 
40717 11 
45 22 50 23 
50 4,3534 
55 3 
60 | 6 [65 [6 
— 707 
E. W. [75 72 
co | 103] 80] 8 
8 — 
& | 6K. w. 
65 | 450 | 92 
70 43-N 55.478 
75 1160 6 
E. jj 65 | 4: 
80 oi 7024 
be 7-4 75 | Oz 
30 | oZj| vo | © 
"1 w- E. 
95 eie 
go | © 
* 


8 1 98 


| 


— —— oor rome ——— - 
* 


Latitude. 
2 North. 
N 
Lon. Var. 
Deg. Deg. 

20 | 10 

25 8 

30 | 57 

35 + 

40 22 

4504 

E. 

50 

55 2 

60 | 3 

or | 4 

7% 5, 

75 54 

80 © 

E. W. 

60] 6 

65 | 4: 

70 24 

E 

90 1 


W 


4 


298 Table of Variation, 
| Latitude. | Latitude. Ladesde Latitude. || Latitude. 
25 North, | 30% North. || 35*North, || 40%*North. 45 North. 
Lon. Var. Lon.|Var, j| Lon. Var. ¶ Lon. Var. Lon. Var. 
W. W. W. W. W. W. | W. W. [W. w. 
Deg.|Deg. | Deg. Deg.¶ Deg. Deg. Deg. Deg. Deg. Deg. 
2011 Io 134 10 | 144 || 1o | IG 5 | 16% 
25 z | 35 | 12S]] 15 | 132 |} 15 | 143]Þ 10 | 16+ 
30 z| 20 | 12 || zo | r3 || 2o | 14+} 15 | 164 
35 | 5z| 25101 25 [124 25 | 135i] 20 | 16 
40 | 3 39 | 9 || 3o | 10; || 3o | 124] 25 | 16 
45] 22 35] 7 || 35] i] 35 [rigÞ} 30 15} 
5o| 1] 49] 5x] 49] 741} 49 [10 I 35 | 155 
SSI © | 45] 41] 45] ©2321} 45 | 9zj} 40 | I5 
E. 50 350 5250 | 92h] 45 | 15% 
6o| 14] 55| 281} 55] 5 || 55 [20 || 50 | 16 
65 [24 60| 12 60] 54 60 [rr | 55 | 17 
70. | 24] 65| x1 [] 65] 6 || 65 12 || 60 182 
75] 3 | 72] ©:Þ} 70 | ®3]} 70 | 124 
„ ©0795 |: 7 
— 801 © 
E. W. 
6o | 6 | 
65 | 4x 
70 | 2+ 
1 FA _ 


| 


WO: + 


— * ? i 


Table of Variation, 


299 
Latitude, || Latitude. || Latitude. || Latitude Latitude. 
50* North 5“ South. || 10® South, || 15% South. || 20% South. 
Lon. Var, Lon. Var. Lon. Var. Lon. War. Lon [Var. 
| W. W. [W. W. W. W, W. W. | W. W. 
| | Deg-|Deg. ||[Deg.|Deg. |Deg.|Deg. || Deg. Deg. || Deg. Deg. 
[1 -. 5-1 1w038- © | is o| 14z]} 14 o 132 
10 | 19; E109 5 | 122 6.1 12 8 1111 
15 | zo || 10 1010 10% [10 gif} of 83 
20 | 2oZ|| 15 | 8215 1157 [1s 58 
25 | 21 [20 6 || 2o #}} 22] 4 |] 20 | 3 
2 3 2 2 2 I 2 O 
1 © : E 4 E. ; E. 
. 30 1 4 30 21 
Il 35 | 23} 3s | 34 5 #35] 5, 
E. IW. T [IEEE 
5 16 5 154 E. W. E. W. 
1017 || 1o | 16+ 5 | 257 3:4 5 
| 40 | 17 Is 174 10 16+ 10 164 
| 45 | 19 40194 40 | 2015 | 1753 
| 50121 45 | 18 45 | 19zj| 35 | 22 
| $5 i 50 | 148 || 59 | 162Þ] 40 | 22 
| 6o | Of] 55 | 29x If 55 | 1231] 45 | 215 
| 65 | 41 co | 7469 50 | 183 
| 79| 3 | 65] 5,1] &5 | 6 $ | 1s 
| 71 70 3170 44 60 | 115 
| 81 off75| 2 || 75 | 33] 65| 8 
| E 80 I 80 22 70 6 
| 85 | oz] 85 | oz} 85| 240 75| 44 
go | oi] go | ozf| 90 | 24] 80 | 42 
W. || 95| * I} 95] 231} 85 | 45 
| 95 | oFfſioo | 2 ioo z || 99 7 
100 12 io | 25 [105 11 95 2 
110 34 100 | 4+ 
| 105 45 


6 
Iv 


388 


Table of Variation. 


[Lon. 


ö 


— — 


W. 


Deg. 
0 


W. 


! 


— 


' | Latitude. || Latitude. Latitude. 
25* South. [30 South. 35 South. [40 South. 


Var. Lon. 
W. 


Var. Long 
W. W. 
Deg. ¶ Deg 
1140 © 
9 5 
651] 10 
3:]} 's 
O- 
E. 20 
2 || 25 
43° 
7 35 
W. E. 
134] 5 
1520 10 
18 || 15 
234 20 
244025 
254 30 
2420 35 
2340 40 
21 45 
18 | 50 
15 59S. 
13 || 60 
1140065 
103]| 70 
104 75 
80 
9 || 35 


Deg. 
0 


1 


Lon. 
W. 


5 
10 


15 


20 
25 
30 


— — 1 


E. 


n. 


Var. 


O 
= + 0082 | 2 


21222 


———— — — — —_ 


— ed ‚— Rod int GS RX 


Atlantic Ocean 


nt 


C. Bojador | 


— 


IAfrica |Negroland 


A Tide-T able, ſhewing the Time of High-Water at New 
| or Full Moon, commonly colled, the Flowing. 
{Names of Places ſquare Countries, Coaſts, Flow. 

A. H. M. 

14: Abbrevrack Europe France Engliſh Channel| 4 30 
[Aberdeen Europe Scotland German Ocean 0 45 
jAldborough Europe England J German Ocean 9 45 

i. Alderney Europe England Engliſh Channel| © © 
R. Amaz. Mouthj|Amer, | Terra Firma | Atlantic Ocean | 6 o 
I. Ameyland Europe Dutchland {German Ocean | 7 30 

Amſte re am Europe Dutchland German Ocean | 3 © 
st. Andrews Europe Scotland [German Ocean | 2 1 5 
[Antwerp  |[Evrope|[Flanders R. Scheld 6 0 
I. Anholt Europe Denmark Sound oO o 

Archangel Europe] Ruſſia White-Sea 6 o 

I. Arran Europe Ireland St. Geo, Channelſi i © 

R. Aſhley Amer. | Carolina Atlantic Ocean | o 45 

St. Auguſtine [Amer. Florida Atlantic Ocean | 4 30 
13 | | 
Baltimore [Europe] Ireland Weſtern Ocean | 4 30 

C. Barſleur Europe France Engliſh Channel] 7 30 

I. de Bas Europe| France [Engliſh Channel| 3 45 
Bayonne Faropeſ France B. Biſcay 3 30 
Beachy-Head (Eu: 0pe England Engliſh Channel] o © 
{North & S. Bear Amer. Labradore | Hudſon's Bay oO © 
[Belfaſt Europe Ireland Iriſh Sea 10 © 
Belliſle Europe France B. Biſcay 3 30 

I. Bermudas Amer. Bahama Iſles | Atlantic Ocean | 7 © 
{Berwick Europe England German Ocean | 2 30 
I. de Bic Amer. Acadia R. St. Laurence] 2 © 

Bideford* Europe England |Briftol Channel | 6 o 
Blackney Europe] England German Ocean | 6 o 
C. Blanco {Africa | Negroland Atlantic Ocean | g 45 

Blanchard Race Europe France Engliſh Channel] o o 

Blavet or P.Louis|Europe| France B. Biſcay 13 0 

O © 


302 


Ul 


Tide-Table. 


| Names of Places. act! Countries. 


i 


Coaſts. 


Breſt 
{Bridlington Bay 
[Briſtol® 
Buchaneſs 
Button's Iſles 
Bridgewater“ 


Cadiz 

Caen 

| Calais 

I. Caldy 
{Camfer, a Sand 
I. Canaria 


C. Cantin Africa Barbary Atlantic Ocean 
aſkets Europe I. Guernſey [Engliſh Channel 
Cathneſs Point | 
or Dinnet- Europe Scotland Weſtern Ocean 
Head | 
Charles-Town [Amer. Carolina Aſhley River | 
Eaft and Weſt 
| EndofChar- Amer. |Labradore | Hudſon's Straits 
les Ifl. 
Cheignecto Amer. Nova Scotia B. Fundy 
Cherbourg Europe France Engliſh Channel 
y Ma oem E New- Wales Hudſon's Bay 
C. Clear Europe ſreland Weſtern Ocean 
Concarneau Europe France B. Biſcay 
[Conquet Europe France Engiiſh Channel] 
{1. Coquet Europe r German Ocean 
[Corke Europe|lreland St. Geo. Channel 
C. Corſe Africa Dune Eth. Sea 
| Cromer ]Europe'England {German Ocean 


"> _ — — 22 


C. Bon Eſperance Africa |Caffers 
Bourdeaux Europe France 
Boulogne Europe France 
Bremen Europe Germany 


Bree Sound, a Sand Europe Dutchland 


Europe France 
Europe England 
Europe England 
Europe Scotland 
Amer. New-Britain 
Europe England 


Europe Spain 
Europe France 
Europe France 
Europe England 
Europe Dutchland 
Africa Canaries 


6 


Indian Ocean 
B. Biſcay 
Engliſh Channel 
R. Waſer 
German Ocean 
B. Biſcay 
German Ocean 
Briſtol Channel 
German Ocean 
| Hudſon's Straits 
Briſtol Channel 


Atlantic Ocean 
Engliſh Channel 
Engliſh Channel 
St. Geo, Channel 
German Ocean 
Atlantic Ocean 


MEE 15 


1 —˙w̃¾ ea ę OS MR 


F — 


Tide-Table, 


303 


* 


e 


— 


2 


Names of Places. Countries. Coaſts. Flow. | 
D. 4s l. NI. 
Dartmouth Europe England Engliſh Channel| 6 30 
St. David's Head Europe Wales St. Geo. Channel] 6 o 
Diepe Europe France Engliſh Channel io 30 
Dort Europe Dutchland German Ocean | 3 © 
Dover Europe England Engliſh Channel [11 30 
[Downs Europe England German Ocean | 1 15 
Dublin Bar“ Europe Ireland Iriſh Sea 10 30 
Dunbar Europe Scotland German Ocean | 2 30 
Dundee Europe|ocotland German Ocean | 2 15 
Dungarvan Europe|lreland Atlantic Ocean | 4 30 
Dungeneſs Europe England Engliſh Channel | 9 45 
[Dunkirk Europe France German Ocean | © © 
Dunnoſe Europeſl. Wight [Engliſh Channel| 9 4; | 
Z. | | 
Edinburgh Europe Scotland German Ocean | 4 30 
Edyſtone Europe Eng land Engliſh Channel] 5 30 
R. Elbe Mouth Europe Germany German Oceano o 
Embden Europe Germany German Ocean | o of 
R. Emes Mouth Europe Germany German Ocean | 30 
Enchyſon Europe Dutchland |Zuyder Sea o of 
Eſtaples Europe] ifrance Eugliſh Channel II © 
Exmouth Bar“ Europe. England Enzgliſh Channel] 6 15] 
F. | | 
Falmouth Europe|England Englih Channel| 5 30 
Flamborough Hd Europe England German Ocean | 4 © 
C. Florida Amer. Florida G. Mexico 7 30 
Fluſhing. Europe Dutchland German Ocean | o 45 
[. Fly Europe Dutchland German Ocean | 7 3of 
North Foreland Europe England German Ocean | 9g 45 
South Foreland Europe England Engliſh Channel 945 
Foulneſs Europe England German Ocean | 6 45 
Foye Europe|England Englith Channel | 5 15] 
G. | [ g 
R. Garonn Europe France B. Biſcay 3 of 
Gatpey Bay Amer. Acadia G. St. Laurence 1 30 
Gibraltar Europe Span Mediter. Sea 9 8 
IGranvilte Europe France Engliſh Channel! 7 o. 


— 


— — 


LE 


Tide-Table, 


Names of Places. Quartr Countries. | Coaſts. 
Graveline Europe France Engliſh Channel 
Graveſend Europe England R. Thames 
wm eg Europe Spain B. Biſcay 
I. Guernſey Europe England Engliſh Channel 
H. | 
Halifax Amer. [Nova Scotia Weſtern Ocean 
Hamburgh Europe Germany R. Elbe 
Hare Iſle Amer. Canada R. St. Laurence 
Harlem Europe Dutchland German Ocean 
Hartlepool Europe England German Ocean 
Harwich Europe England German Ocean 
Havre de Grace Europe France Engliſh Channel 
Hel ford 18 Feet Europe England Engliſh Channel 
C. Henriet. Maria Amer. New Wales [Hudſon's Bay 
C. Henry Amer. Virginia Atlantic Ocean 
Holyhead Europe Wales Iriſh Sea 
Harfleur Europe France R. Seine 
Nan Europe England R. Humber 
R. Humb. Entran. Europe England German Ocean 
I. | 
ce Cove Amer. N. Main Hudſon's Straits 
Fort St. John's Amer. |Newfoundld [Atlantic Ocean 
St. John de Luz Europe France B. Biſcay 
Port St. Julian Amer. Patagonia |S. Atlantic Ocean 
K. | 
ware wal 1 Europe England German Ocean 
I. Kilduin EatoyelLaplend North Ocean 
IKinſale Europe Ireland Atlantic Ocean 
3 
Land's End Europe England St. Geo. Channel 
I. Lambay Europe * — Iriſh Sea 
Leith Europe Scotland German Ocean 


— — res a 


—_— 


Va 
O 


ER. a 


O 
2 


— 
G3 
2 


UW. WW 
00000 


„1 — — — 


wm oo 0e (aw 
— 
O wn 


9 


— 
9 mw 
O O nn Ow 
— — — — 


0 
ww O 


an Þ- Þ- 4$-.4 


EL, 


> [FJ 


Tide-Table, 3205 | (| 


. , - ” 0 
4 ; 1 A 


— 


Names of Places.|Quartr | Countries. Coaſts, Flow. 
| Ws H. M. 
Leoſtoff Europe England German Ocean | 9 45 
Liverpool* Europe Eng land Iriſh Sea 11 © 
I. Lewes, N. Point Europe Scotland Weſtern Ocean | 6 30 
Lime Europe England Engliſh Channel] 7 o 
Liſbon Europe|Portugal N. [agus 2 15 | 
Lizard Europe England Engliſh Channel] 7 30 
R. Loire Entrance Europe rance 8. Biſcay 3 0 | 
London“ Europe England R. Thames 2 8 | 
New London [Amer. {New England|Weltern Ocean 1 30 we 
Long Iſle Amer. New England] Weſtern Ocean | 3 of F 
Longſand-Head }iurope}t.ngland German Ocean |10 30 It 
I. Lundy FaropciEagtand St. Geo, Channei| 5 45 | 
Lynn EuropcfEng land German Ocean | 6 © | | 
M. | 60 | 


I. Ma-|Funchal 


-detrel WW Rad Africa Canaries Atlantic Ocean y : | 
[R. Maes Mouth Europe Dutchland German Ocean | 1 30 ki 
St. Maloes Europ |rrance Englich Channel] 6 o | 'F 
I. Man, W. End[Europe|tngland lriſh Sea 9 0 1 
Margate Europe hug land Englih Channel 11 15} ' 
Memiſſan Europe. France Bay of Biſcay 3 30 1 
Milford“ Europe; Wales St. Geo. Channel] 6 o | '_ 
Minehead“ Europe England St. Geo. Channel] 6 © 14 
Mounts Bay Europeſtngland Englith Channel] 4 30 | | 
Nantes Europe France Bay of Biſcay 3 8 | 
Naze Curope Norway Weſtern Ocean 11 15 | 
Needles Europe|England Encliſh Channel [to 15 | 
P. Nelſon's Shoals Amer. New Wales [Hudſon's Bay | 8 20 | 
Newcaſtle Europe England German Ocean | 3 15 
Nieuport Europe Flanders German Oceano © 
Nore Europe Engiand R. Thames o ©] 
N. Capel. Magoro Europe. Lapland North Ocean | 3 © 
INottinghm,& Pi Amer. New Britain Hudion's Straits {lo o 

O. ä | : 
Ollone Europe France Bay of Biſcay 3 45 
Orfordneſs Europe England German Ocean ' 9 45 
At the Iſle of Man, che N. and 8. Floods meet each other. 

Rr 


306 


Tide-Table, 


Names of Places. Quartr | Countries. Coaſts, Flow, 
Orkney. Iſles,, Europe Scotland Weſtern Ocean 
D. . 
Between Rowſa | H. M. 
and Weſtra , ! —— - 10 30 
Between Shapſtra | 
and Strona — i; 
At the Eaſt End 
| of Copenſha . |——| —-——|——— 11 30 
Between 8. Wo- | 
na and Stroma | ki 
Ifles, in Pit- 
| land Firth . , [|-—— — 11 30 
Roſeneſſui 1 —!ßẽ˖à 10 30 
Duncanſby Head — — — 8 15 
Oltend Europe Flanders German Ocean | © o 
| 2 7 | | 
Padſtow zo Feet|Europe|England® St. Geo. Channel| 5 45 
St. Paul de Leon Europe France Engliſh Channel| 4 0 
Placentia Amer, |Newfoundld [Atlantic Ocean | 9g o 
Penzance 19 Feet Europe England“ St. Geo. Channel| 4 30 
Plymouth Europe England Engliſh Channel] 6 © 
Portland Europe England Engliſh Channel] 8 15 
ortſmouth Europe England Engliſh Channel 11 15 
\ Q. p { 
Quebec Amer. Canada R. St. Laurence | 7 30 
3 3 
I. Ree Europe. France B. Biſcay 3 ol 
Robin Hood'sBay|EuropeſEngland German Ocean | 3 © 
Rocheforr Europe France B. Biſcay 415 
Rochelle Europe France B. Biſcay 3 45) 
[Rocheſte r Europe England R. Med way O 45 
Rotterdam Europe|Dutchland [German Ocean | 3 © 
Rouen Ikurope France R. Seine 11 


* In Holm Sound, Velocity is 6 Miles an Hour on Spring, 


and 2 Miles on Neap, Tides. 


South Wona Iſland, Velocity 


. on Spring, 3 Miles on Neap. At N. E. of the Lewes, 


ide runs not above 2 Miles an Hour. 


959090992909 


Tide-Table., 


. | Names of Places.|Quartr| Countries. Coaſts, Flow. | 
| 
| | F H. M. 
Rye Europe England Engliſn Channel 15 
8. 
1 | I. Saddleback [Amer. North Main * Straits|10 0 
) I. Sal- f upper) 8 : 9 o 
vages — þ Amer. North Main Hud ſon's Serts | 8 
ö {Sandwich Europe England Downs 11 30. 
Scarboro? Head Europe England German Ocean | 3 45 
Scilly Ifles EuropeſEngland dt. Geo. Channel| 3 45 
R. Senegal Africa |Negroland [Atlantic Ocean 10 30, | 
453” «0m; Europe|England St. Geo. Channel| 4 30 | 
R. Severn, Entr. Europe England | It. Geo. Channel| 6 i 1 | 
R. Sey ne, Entr, Europe France Engliſ Channel | g o. ; 
Sheerneſs Europe. England . Thames O o 1 
Sierra Leona Africa [Guinea \clantic Ocean | 8 15 by 
5 f 
3 


| | 4 

Shillocks Europe Ireland Veſtern Ocean 0 TY 

| b, _— 4 EuropeſScotland Veſtern Ocean | ol | | 

| Shoreham Europe England |=ngliſh Channelſio 30 11 
4 1 and Europe Scotland \Veſtern Ocean | 5 30 | | 
R. Somme jEurope|France Engliſh Channel|iz o | 
Southampton Europe England Engliſn Channel] o © i 

1Spurn Europe|England German Ocean | 5 15 Vis 
Start Point Europe England Engliſh Channel| 6 45 bi 
Stockton Europe England German Ocean | 5 15 1 
Strangford Bay Europe Ireland {lriſh Sea jlo 30 It | 
Swin, a Sand Europe England Ent. Thames | 0 o [ 
Sunderland* Europe|England German Ocean | 3 © | 
Swanſey* e Wales St, Geo. Channel] 6 © | 

T. | | | | 

Tamarin Town [Africa II. Sokotra Indian Ocean 9 © | | 
R. Tees Mouth [EuropeſEnglaad German Ocean | 3 0 | 
I. Teneriff Africa |Canaries Atlantic Ocean | 3 © | 
Terra Nieva Amer. [North Main Hudſon's Straits | 9g 50 | | 
Tervere {EuropeſDutchland German Ocean | 45 | 
I. Texel Europe Dutchland [German Ocean | 7 30 

R. Thames Mouth Europe England German Ocean | 1 30 

| Tinmouth [Europe England German Ocean |] 3 ' 


Rr 2 


308 


Tide-Table. 


Names of Places.|Quartr | Countries. Coaſts, 
Topſham Curope England Engliſh Channel| 6 
Torbay Europeſ England Engliſh Channel] 5 15 
I. Tory Curope Ireland Weſtern Ocean | 5 
V. 
St. Valery Europe France Engliſh Channel [103 
Vannes Europe France B. Biſcay 3 45 
I. Uſhant Europe France Engliſh Channel] 4 30 
W. | 
O. Walſingham [Amer. [New-Britain [Hudſon's Straits] o c 
Watchet“ Europe England Briſtol Channel | 6 © 
Waterford Europe ireland St. Geo, Channel] 6 3c 
Wells *uropeſEngland German Ocean | 6 © 
Weymouth Europe England Engliſh Channel o 
Whitby Europeſtngland German Ocean 3 © 
I. Wight, E. EndſEurope England Engliſh Channel o © 
Winchelſea Europe England En lich Channel] o 45 
Wintertoneſs Europe England German Ocean | 9 © 
Whitehaven“ Europeſ England St. Geo. Channel] 9 45 
Y. | 
Yarmouth Europe England German Ocean | 9 45 
York Fort Amer. New Wales [Hudſon's Bay 9 10 
York, New Amer, |[NewEngland|[Atlantzc Ocean | 3 o 
Youghall Europe Ireland St. Geo. Channel| 4 30 
| 7 
Z. 
Zeric Sea Europe Dutchland I German Ocean | 3 


Beſides the Times of Flowing, in the preceding Table, the 
g Limes, it 1s ſaid, will ſerve for Coaſts of conſiderable 


followin 


Extent, and nearly for the Places on thoſe Coaſts. 
Finmark, or N. N. W. Coaſt of Lapland, ih. zom. Jutland 


Iſles, oh. om. 


Frieſland Coaſt, 7h. zom. 
Flanders Coaſt, oh. om. 


Joh, zom. 


Zeland Coaſt, ih. zom. 


Biſcay, Gallician, and Portugal Coaſts, zh. om. 


Triſh Weſt Coaſt, zh. om. 
Africa Weſt Coaſt, zh. om. 
America Eaſt Coaſt, 4h, zom. 


Picardy and Normandy 


Coaſts, 


Iriſh South Coaſt, 5h. 15m. 
America Weſt Coaſt, 3h. om. 


TABLE 


iy * Po N - 
> - "uo 7 * 
TA 


K 


Of Latitudes and Longitude. of the principal Harbours, 


Capes, &c. 


N. B. The Longitude is counted from the Royal Obſerva- 
tory at Greenwich, which is ©? 6/ Eaſt of London. Thoſe 
Places marked * are either from aſtronomical Obſervations, 6r 
determined in a Manner very little inferior thereto : 'Thoſe 
not ſo marked are collected by comparing the beſt Maps and 
Charts with theſe. 


ms 


The Sea-Coaſts of England. 


Coaſt of 


* 


| 


Names of Places, 


[Berwick on Tweed . . 
Holy Iſland . . . 
Staples Iſlands . . . , 

4 Cocket or Coquet Iſland . . 


Tinmouth Caſtle . , s 
North and South Shields * 
(Neweaſtle , . 6 


Durham. 


— | Northumberland. 


—_— 


2 — » — 


Suter Point , 3 , , 
Sunderland . . * 
Hartlepool . R X a 0 
Seaton Snook, the North Point of 
the Mouth of the River Tee, 
Stockton upon Tee . . N 


— 


— 
» — 


York. 


Whitby . N , . « 


Scarborough . , , 23 


Flamborough-Head « y, 
Bridlington . ' ' . 
The Spurn , - . , ' 
Hull . . . . . . 


(Lincoln) Boſton "> 5 . 


Latit. 


North, 


0 / 


55 46 


Longit. | 


— —— 
, RY” 


C _—_ — — 2 — * — 
4 . > + @ 4 * 4 » _—_ . ; 


—— — — — — 


310 Latitudes and Longitudes of Places. 
England continued. | 
5% 8 Latit. N 
Names of Places. North. Longit. 
— — — 
0 / | 0 / 
Lynn-Regis . . 52 50] o 
Wells, Entrance of the Harbour . $3. $4 -0 1 
S Clay, and Blakeney, Entrance of 53 5| o 46m 
ts } Cromer . . . . « »+| 52 54] o 59% 
Z | Winterton Neſs 0 a s 52 54] 1 24 
- Yarmouth, Entrance of Harbour 52 44] 1 31 
Leoftot . , . 52 38) 1 34 
; \ Eaſton Neſs «Ts . { 52 29] 1 35 
5 ] Southwold . . . 52 27] 1338 
2 Alborough . 52 16] 1 288 
12 | Orford Light- Houſe . R * | $2 12] 1 28 | 
| Ipſwich . 0 # C 
( Harwich 1 CS . e 
2 4 Colcheſter . . . . . 40 | 
f4 ( Malden . . . » | 51 46] o 38* | 
Erber . . 51731 % 6 | 
The Royal ( Ohe vad at Grarnwick "51 29] *o o 
Rocheſter . » . $1 25] © 27 
Sheerneſs 5 , . $1 3o} O 39 | 
|. Margate . . . 51 28] 1 14 
134 N. Foreland . 4 . 1 g87- 2 175 
E Sandwich . . . „Ii 20 1. 121 
Deal-Caitle . X en 151 3. 16 
8. Foreland , . „ 4:51 10 1 1g | 
Dover . . 3 8 12 
a e 0 . 50 56 O 57 
335 wy N ES 51 0 © 44, 
1. fhalinge . p 50 55} © 34 | 
ſ= } Beachy-Head ; A 50 48] o 14 
| Shoreham . . . | 59 53] 9 19W 
A n A : . *50 49] *1 LE” 
E Newport in the Ifle of Wight . 
= = 
= Dunnoſe Point in ditto ON | 50 zo] 41 21” 


Latitudes and Longitudes of Places. 311 


England continued. 
Latit | 
Names of Places, North.] Longit. | 
| | — - — | | 
S.-:'8 8 
| Pool . . . . 50 45 3 
5 Weymouth . . 6 - 50 38] 2 34 
8 Raſe of Portland . . . 50 31 2 34 | 
| Chidiock . . 50 434 2 5771 | 
Lime (Ay the Author ) . . „„ | j 
— — — — p 
| | CBeer-Head (this and all « n Places in | ' | 
| De vcu by the Author, in his e 50 4243 7 | 
: of that County) . . . 
|S | Sidmouth . . 450 42] *3 16 
> | Ottermouth . . 50 39 *3 26 14 
2 Exmouth-Bar . . „ vl | 
S | Topſham - . . . 50 42] *3 35 | W 
= | Exeter . . . -[:5$0.-45] 3 39 
© 4 Teignmouth-Bar 50 34] *3 36 | 
8 | Hope's Noſe, the North Point of Torbayſ*co 30] *3 36 
| = | Berry-Head, the South Point of Torbay [50 26| *3 36 = 
| 2 arge Mewſtone . . [*5o 22] *3 39 } 
| 2 | Start-Point . . . 50 16j5 *3 46 
— | Praule Point s . . » |*50 150 3 51 
| $ | Bolt-Head . R „ 
| | Bolt-Teal . n 550 17] *3 59 
Plymouth . . 1.50 25] "4 Is | 
— Eddyſtone Light-Houſs . » | 1% 4 23 | 
| Rame-Head . . R *50 211 *4 20 
I Foy . . - 50 23] 4 41 | 
| 5 Falmouth 6 . « | 59 Uh 5 7 2 
= 4 Lizard ä . 0 © *50 C 5 10 5 | 
8 | Land's-End *%© 6 *5 67. * 
| bay | Scilly-Iſland, St. Agnes-Light-Houſs 49 56] 6 40 
| It. Ives . * * . 50 8 5 28 | 
| | | Padſtow a . | $0.32] 459 | 
= . - Hartland-Point s 5 51 35 4 37 N 
| 13 Ss \ Lundy-ſfle , . SL120 4.44 44 
| 12 v 4 Clovelly-Pier 0 51 21 4 308 | [ | 
| 12 Barnſtaple, Bide ford, andApplecoreBa "ct (34-38 Th 
[> © SBagoy-Point "Wi Pri ic] *4 21 | ll | 
1s 
| | 
1 


* 


312 Tatitudes and Longitudes of Places. 


] 
England continued. | 
Latit 2 
Names of Places. North. | Longit. 
12 5 Po 9 1 9 -F | 
= { Morte-Point . . . 51 13] *4 196 
8 Ifracombe Pier > a , 51 1 i 360 
= | Watermouth-Cove (this Place, though 
4.0 but little known to Maſters of Ships, { |, 6 | 
E may be the Means of ſaving a Ship (| 51 74] +4 Wl 
© when ſhe cannot go into Combe) 
2 Foreland-Point gs, » |*51 16] *3 55Wl 
> f Minehead . . : "et wu 3 38-1 
& | Start-Point, Mouth of Bridgewater River 51 13] 3 10 | 
v 4 The Holmes . » | 51 20] 3 15 5 
- . 2 
S | King-Road (by the Author) . 4551 29] *2 54 
2? CBriſtol (by the Author ) . . 51 26] *2 46 
5 nl B N — | — 
Swanſey . . 31 4 4 4:-f 
; | Caldy Iſland . . 91 37] 4 44 | 
.» } Milford Iſland X - {'£8-430- 75 6<| 
[= St, David's Head . > «$3 e694 85 N 
Barſey Ifland . . . 52 500 4 41 
| Holy Head . . «| 53 20] 4 40 
[(Cheſter) Cheſter . . . 53 100 3 11W] 
3 —— — — — 
Liverpool 25 3 186 
Na 5 Lancaſter . . +1 ; 3 6W} 
£7 Whitehaven 1 66 3 44 
Cumberland. Jamie : : a 8 : q 2wl 
| [Calf of Man, at S. W. End of Iſle of Man 53 45 4 38W 
| Sea-Coaſts of Scotland. 
Edinburgh . : . r 
Fife Nets . ” - . 50 18 2 43 2 : 
Montroſe . . . . 56 40] 2 36S 
New Aberdeen . R 


* * - 


Latitudes and Longitudes of Places, 313 


| Scotland continued. 
29 Latit 
| Names of Places. North. | Longit. 
| 8 P.-E 
IPeter-Head, or Buchan Nets . . 57 300 140 
| [Kinnaird's Head . . . | 67-438. $8: | 
| [Tarbat Nets R R a „ 
[Caſtle Sinclair or Neſs . s 8 16-3 43 
[Dungſby -Head 1.588481 3-12 
Licueſs, S. E. Point of Orkney-Ifland 58 500 3 © 
| North End ot Ronaldſha (one of the nor- | 
| des ani of the Orkney-Iſlands) . 
JSuenburgh-Heaa (the ſouthernmoſt Point 
| of the nee Jana deve . 59 34] 20 
[North End of Unſt, the nort ernmo 0 : 
{ Shetland Iſland ; = 60/47] 030-1 
The Mull of Galloway . 54 42] 5s 6 
Mull of Cantire ge: 234. 0.0 
{Lock-in-daal, Entrance of, in Iſla Iſland 55 40] 6 32 
Southernmoſt Point of Tirciy [land . 36 7 23 
Southernmoſt of BIiſhops Iſlands 56 46] 7 55 
Maiden Rock, Wett End of Sky Iſland - 1 87 341- 738 
| Point of Oreby, or Butt of the Lewis, be- 
- ing the northernmoſt Point of Lewis 58 37] 6 54 
| Iſland . . * . | 
| Ls TMs 
| Sea-Coaſts of Ireland. 
| Fair Foreland A. . . 33 8 6 35 
' Londonderry . . . 55 of 7 56 
Belfaſt A . . . 54 39 6 16 | 
[ſland Torre p 3 e 
es of Arran 0 6 . 4:44 48D $4 
| Stags of Broad-Haven 0 . „ 1.54 74-10-42 4 
| Iſles of Arian . . . 53 © 9 50> 
' Galway = . a 53 7] 9 40 
1 Gall or Doen's Head . . 52 49] 9 39 
| Lipis's Head . . . « þ 52 24] 10 21 
| Limerick 5 . . G 52 23] 9 41 
tlaſques "SLE . . R 82 of 12 2 | 
| 8 f 


— — 


314 Latitudes and Longitudes of Places. 


Ireland continued, 


Latit Th 
Names of Places. North.] Longit. 
3 0 / 
Shillocks . I . 61-30] 12 1 
Cow and Calf . 51 220 10 42 
Mizen, and Miſfen- Head . . 51 16] 11 36 
Old Head of Kinſale . 31 493-9 4 
Cape Clear . . cl 17] 9 56 2 
Ninſale . . . 51 500 9 462 
Cork . - . | 51 49] 9 36 
Waterford . 14 52 9 8 46 
Wexford . . . $2 13] 7 33 | 
Dublin 0 A > $3 124-7 4x 
| 
| 
Sea-Coaſts of France, without the Straits. 
ö 
Dunkirk a . 31 2 22K 
[Zalais . . . . „ ie 5 "8 $1 
Boulogne . „ . 50 44] *1 37 
 ybeville . . . *50 7 1 508 
St. Valery ” - . . 30 16 1.352 
Dieppe . , s "49 $81 "1.4 
Havie - 4 A 49 334 0 © 
Rauen 5 . > . "00277 *1 8 
Paris . . i *48 gol *2 20 
Cen . 0 - *49 11] fo 22 
be yeux . , : *29 16] *o 43 
Cape Barfleur . . . 1 49 444 114 
Cherbourg V 49 38] *1 38 
Cape de ia Hague . . 49 45] 2 4 
Alderney Ille (belongs to England) . 49 45] 2 23 | 
E Rets . 49 45] 2 30s 
(belongs to England) 0 | 49 28] 2 35 8 
Suse iſle (belongs to England) 140-99 2 $1 
[Jerſey Iie (belongs to ditto) 5 49 13 2 26 
Coulance - . . . . «149-3 *1 27 
Avaranche 0 F . . 948 410 *1 23 | 
St. Malo . . . . « 48 391 2 83 
St. Brieux , . 48 36 *2 43 | 


. AE " 


_—_— 


Lalitudes and Longitudes of Places. 315 


— * nd „„ 4 


| Sea-Coaſts of France without the Straits, continued, 
Latit 
| Names of Places. North, | Longit. 
3 3 
{iſle de Brehat . . . » 1 49-803 * 1 
{Morlais, Mouth of the River . 49 36] 3 53 
St Paul de Leon . . . 145 4. 4-06 
| Iſle de Bas . . . R 48 42] 4 6 
Uſhant Ille . . . T0 + 2-8- 
Conquet . . 4148 224 4 45 
| Breſt . . . . . „ 46-237-* 3t 
| Le Rax . . . . . „ 48 4.40 
Ibenmark . . . . 6 187 25-4 18 = 
| [Belliſle . . . . . . 47 20] 3 302 
INantz . . . . n 
Hey's Iſle, or Iſle Dieu . . 146 40| 3 30 
| Iſle Rez ; 0 0 . . E 46 10] 1 30 
| Lucon 0 6 . . N 46 27] *1 10 
Rochelle 13 . k A «4746 26}. *x 26 
| Iſle Olc:on . . . . . 1 40.; 1 30 
. 1Bourdeaux ; , ; : : "44 50] % 35 
[ Bayone . . . . . -. 1.43. 29] -*t--30 
| 1—— — — — — — — (— 1 
N Sea-Coaſts of France, within the Straits. 
[Collioure R . P 0 R . 42 32] 3 10 | 
| Perpignan . . . . . 42 42] *2 54 | 
Narbonne . VVV 43 11] *3 © [| 
| Bezieus p a . . . . 43 22] 3 20 | 
Agd 8 ; . ' . . . | 43 *4] 3.30 8 
Ol RI UTE PEE vv it | 
| Montpellier . 3 43 30] *3 53 4 1 
| Mouth of the River Rhone | 0 . + | 43 21] 4 40 1 
| Arles i : . . » [*43 41] *4 38 | | 
! [Marſeilles . « „ 43 18] "5 22 | 
i - [Toulon -« a , | 43 17] *5 56 | 
lies d'Hieras 1 188 10 0 It [| 
| Antibes . — . 5 [43 1 | 
| 3 1 ill 


—— — 
* 
—ñꝛ·qñ — 
* — — y 
* 
— 


316 Latiludes and Longitudes of Places. 


Sea-Coaſts of Spain, without the Straits. 
Latit. 
Names of Places, North. | Longit, 

| es 95 He 1 SE 
St. Sebaſtian . , 43 24] 1 33 
Bilboa . . 4 $3 *M | 3-..h 
Cape Pinas » . 43 56 6 6 
Cape Ortegal . . * | 44 4] 7 534 2 
E Corunna or Groin a „ F 
Cape Finiſtere . . «| 43 12] 9 46 
{iſles of Bayona . . . - | 42 992 33 
Cadiz . 0 . 0 0 „ *8 1 
Cape 'Trefulgar , ' . 36 10] 6 7 

1 

| Sea-Coaſts of Portugal, | 
[Oporto - , * , „41 10 9 98 | 
Burlings . . . ' 39 35] 9 4 < 
Liſbon . * . . * 38 42 9 by a 
Cape St. Vincent ; . a „16 de 
Cape St. Maria . s . „36 530 

Sea-Coaſts of Spain, within the Straits. 
Gibraltar 0 . . . . 36 12] 4515 
Malaga ; . 36 48] 3 50S 
ar de Gat. - -» 36 49] 1 40 
Cape Paul . 6 38 15] © 5 
—_ „„ „ © 3» 
Cape St. Martin . . 38 45] 0 45 k 
Valencia . . . 39 35] 0 oE 
Barcelc na . 0 . *41 25] 2 10 E 
Palama . 7 520 2 55 E 


Latitudes and Longitudes of Places. 


317 


Other Coaſts in the Mediterranean. 


| 
Names of Places. 


* „ 


Latit. 
North. 


— — - — —— — 


| Sea-Coaſts of Italy, 


Nice 0 0 . » . 
{Genoa 8 ; d . . 
Leg born . . . . 
lor ace a 6 I A R 
IC:vita Vecchia 0 , . . 
Kome . . . . 

Naples . . . . 

l. ce iſchaſe 4 0 0 

b Stromboli . . . . . 
I. Folicudi E , 8 i a 
Tarentia 0 , . . 
Anconia : . . 
Rimini . 0 . . 0 
Venice 0 h . . . . 
Cape Pola . . . . . 


Trieſte, in Germany, 


— ͤ6— — 


— 


— —— — — 


Sea Coaſts of Turkey, &c. in the Mediterr. 


Fioume R 6 K . . 
Zara . „ 
Sabioncello . . . . 
Rag uſa . . 

Cattaro . . . . . 
Dulcigno G b . . 
La Valona a R . . 
Palermo o - . 0 . 
La Praveza  * » 
Patras . . . . . 
[Corinth . . . . . 
Modon . 0 . . © ® 
.. Ange . . * 


Salonique . . 
C. St, George 


2 


318 


Latitudes and Longitudes of Places, 


—_o _ 


1 


| Sea-Coaſts of Turkey, &c. in the Mediterranean, continued. 
| Latit, TY 
| Names of Places. North. | Longit. 
RR” | 
C. Pailloury 0 R 4 o 2 
C. Monte Sancto . — 28 $4 I 
Rondini N . . 6 41:33 24. © 
Gallipoli . . . . 40 30] 27 11 
C. Baba . . . „139 28] 26 12 
Culate . . . 35 56} 27 39 
Smyrna . . . . *38 28] 27 19 
C. Blane h R . . 38 10] 26 218 
Epheſus . . . 38 of 27 535 
Alexandretta, or Scandaroon . 1 36 35] 36 20 
Antioch | . . . . »- | 36 11] 36 10 
Aleppo . . . . p "35 301" 37-18- 
Tortoſa . . . . . 95-41 230-16 
Tr pol . . 0 . . 34 38 36 10 
Scyde ; . . 33 49] 36 o 
oppa, or Jaffa . . . 32 27] 35 16 
Iſlands in the Mediterranean, 
Alboran . ' . 335 57] 3 44 
Formentura 8 , . „38 38] 147 
Yvica . „„ JOJO 
Majorca, at Majorca, . , *39 29g] 3 © 
Minorca (Port Mahon) b *39 51] *3 48 
abrera . . . . . 39 41 3 ie 
Corſica, at Calvi, . 42 45] 8 56 
Bonitacio, South End of Corſica, . . | 41 20] 9 427 
C. Tolare, South | IT 38 48 15 =| 
C. S. Reperade, North | End of Sardinia | 41 12 : 27] 
Alinara . . | . 41 0 8 50 
Capraria . . 0 . 43 0 10 22 
Elba R . . . 42 41] 10 45 
l. Ponza g 6 i E "T4 0-12 32:1 
I. Iſcia . . R d 40 33] 13 35 
[. Penteloria — . 36 52 11 50 
|. Maretino *23 31 12 © | 


— 


—— OA 22 


124 Lg" Cf 


En ee ::= ——pĩ 


Latitudes and Longitudes of Places. 319 


Iſlands in the Mediterranean, continued. | 
Latit. | 
Names of Places. North. | Long it. 
| S- Fe | FOES 
Lompedoſe . . „ $6: 40{-12-21- 4 
La Linoſe . . . . 35 59] 12 43 
Ultica . . . . . » | 38 45] 13 50 
Alicudi . . F . | 38 36} 14 42 
IFolicudi . . . 138 37] 14 14 
Vulcano . . . . 0 38 31] 14 49 
Salini . . . . | 38 46] 14 47 
Lipari , . . . . | 38 39] 14 49 
Panarie 5 . . - 40-39-1684 
Trapano, Weſt End of 3 38 3112 54 
Palermo, in 5 Sicily , 38 10| 13 46 
Cape Paſaro, Eaſt End of 36 4c] 15 37 | 
Tremitte . . . 5 42 14] 16 19 
Liſſa . . . . * 43 5 16 30 
Ozero . . . , I 45 10] 14 14m 
{Pome ; . . . 1016 0 
St. Andrea . . . » | 43 12] 16 14 
Agoſta . . . . 442 $5917 4 
Cuzzola ; 6 , . 43 21 17 24 | 
Melzda . . . . . „ | 42:48} 19 4 5 
Argoſtoli . . . . | 38 13] 20 54 
Lante . . . . » 1:37 46] 20. 4 
Dragnieres . . . . 136 17] 23 21 
Candia, in . . . , 35 18| 25 18 
Cance, in { [. Candia . ; *35 27] 24 9 
C. Solomon 8 . X 33 27 3 
Standie . . . . . 35 26 25 35 
Taſio . . . i . « | 40 37] 25 4 
Limnos . . . . 39 55] 25 3+ 
Metelin . - . . . 39 71 20 27 
| | 
Iflands in the Archipelago. 
1 cio . . . . » | 38 19] 26 14 
Samos N 0 . . - 37 & » 27 9 Mn 
Patmos A . . . . [22 £0 20: 54 ® 


i} 3 
|S 


320. Latitudes and Longitudes of Places. 


——ä— 


| Iſlands in the Archipelago, continued, 
= Latit. Wn 

Names of Places. North. 
| „ 5 
Mila = * * - ©36 40 
Naxie . * . = 37 7 
© . . +.1 20-4 
| Stancho . . . . > 
8. W. C. Baffa „ | 34 56 
Eaſt 5% End of Cyprus, 3 C. St. Andrea | 35 33 
South C. de Gatte 34 33 


— — 


2 —— e — 


Irhe Coaſt of Barbary and Guinea, from 
Cape Spartel to the Cape of Good-Hope. 


Cape Spartel . a 35 44 5 36 | 
Larache . | . 34 44-480 4 
La Mamore . . . e 
Sallee . . . . „ 23-8 
[Cape Blanc . . . 33 10] 810 
Cape Cantin . . 6 32 47] 8 48 |} 
JSaPHIE . . . . | 32.28] 8 43 
Cape de Gee . . . 30 45] lo 8 | 
Sante Croix . . . 30 38] 9 50 | 
Cape de Nun . . . 1-28 194-12 5. | 
Cape Bojadore . . $4.80 got-364 20-4 
Cape das Barbas . . 22 5119 10. 
Cape Blanco . 20 47] 19 118 
Senegal (in French Maps, Fort St. Louis) 15 gol 17 55 

Cape de Verde . 4-146 381-217-8 

River Gambia, Entrance . 13 28] 16 5 

Cape Rouge . . 12 15] 16 20 | 
Riv. de Sierra Leona, Entrance . . 8 22] 42. 8:þ 
Cape Mount . . . 16 38] 9 34 

Cape Mezurado . . . I 1 0-3-4 
[River Seſtos, Entrance . . 5 30} 742 -þ 
Cape Palmas . . 5:1 4 $$$. 83-7 
River St. Andrew, Entrance . . J 
[Cape la Ho . R . „ 
[Cape Three Points 5 33 


— OO U —ę. 
— —ů —ů cet ——— — 


Latitudes and Longitudes of Places. 321 
The Coaſts of Barbary and Guinea, continued. 
Lo Latit. 
Names of Places. North.] Longit. 
| 5 op Hens . 833 
River Volta : 48 1.42 
Road of Juda in the Gulph of Benin . *6 1o| 2 58 
Road of Little Ardra in the Gulph of Benin | *6 16] 3 16 .| 
River Formoſa, or Benin-Entrance a 6 38] 4 52 
Benin Town . . . 7 42] 5 28 
[Cape Formoſa . 4 32] 5 31 
New Calabar River, Entrance . . 4 300 6 48 
Ol Calabar River, Entrance . „1432 7 42 
River Cameron, Entrance » A 4 0 9 10 
ile Fernando Po d 0 0 3 [8 $2 l 
Prince's Ile : 6 6 A 6 130 7 52 5 
dt. Thomas Iſle 8 . a . 4 012] 7 10 f 
Cape St. Iohnnn . n 
River Gabon, Entrance, on che Equator o 9 10 
Latit 11 
South ö » 
l 
jCape Lopas Gonſalvo 5 . 6 59 $ 41 | | 
Iiſle Annabona . . .| 1 26] 6 18 
Cape St. Catharine . "PI 
Majumba, or Alvar, Entrance of Bay , 
| (here the Dutch have a en for 7 3 | 
vory) d . 2 | | 
Cape Padron . $ $334.43: 4 | 
The Town of Sopgo, Fr. Congo, hog. ] 91 30 | 
or Comptoir, Dutch . . fo | 
[Cape Ledo . . . . 9 30] 11 20” | 
Benguela 1 . . . 12 8010 45 | 
Cape Negro 16 29.9 28 | 
Bay of Canception, or Gulph of St. Tho-! 24 42) 13 23 | 
mas, Entrance . 3 5 | | 
Cape Voltas . . «125 $51 5 3 | 
Bay St. Helena, or St. Martin . «.1 31.4% 17:33 | 
Cape of Good. Hope . . . #4, 5 hw 23 | 
A . — 1 | 
JE U & i \ 
| 
| 


322 


Latitudes and Lon gitudes of Places. 


| 
3ca-Coaſt of the Main Continent in the Eaſt-Indies, from the 
Cape of Good- Hope to Fort St. George, Madraſs. 


Names of Places, 


—_— — 


Cape of Good. Hope 
Cape Falſe or Hang - lip 

Cape Aiguilles . 

ay of Lagoa . . 
Cape Natal i 5 
River Sr. Lucie 
bay * 


ape Corlente 5 . 


Mombaza K 4 


-ape Baſs 


Cape Gardafoy, or South Cape of the Red- Se 


Cape Arden . . 
Cape Babelmandel ' 
Mocha, in the Red. Sea 


Cape Fortuach, or North Entrance of Red- Sea 


Cape Ro talgatc 


Cape Moz:ndon , Sou h Point of the En- 
trance ot the Gulph oi Perſia 


Goa . a 5 


Cape Comorin . — 


Pondicherry 
Fort St. George, or Madraſs 


— — — —— ⏑ 


Holy Spirits. or Laurens Marquez 


Latit. 
South. 


5 
2 


0 


Newfoundland. 
| 
Bald Cape, N. E. End of 


Groais Iſland, North End 
Belliſle 5 8 


Cape St. John. » . 


uirpon Iſle 
[Geeſe Cape, North Point of Hair Bay 


» — ** 1 a... a M 
2 1 


* ARC ” + AT . 
- 


Latitndes and Longitudes of Places. 323 


—— „ 


Newfoundland, continued. 


*— _— 8 nd Lot a M 


Latit 
Names of Places, Longit 
be FE, Weg Fr OE TE, 9 / (© / 
Iſle Fogo . . 8 - 50 O 53 50 
Cape Freels . . . „140 34 52 54 4 
Cape Bonaviſtaa 18 52] 12 22 


Baccaleau Iſle, at S. Entrance of Trinity Bay 48 23 52 13 1 


Cape St. Francis, S. Point of PIR Bay] 47 53] 52 15 
Fort St. John . % 32752 
Bay Bulls . . . . 47 20] 52 5 | 
Cape Race n F . . | 46 39] 52 36 p 
Virgins Rocks . . . » | 46 39] 51 17 

Cape St. Mary's . . . + | 46 50} 54 o 

JPlacentia Harbour E » | 47 26] 54 85 | 
fon eau Rouge . . . 1 46 55| 55 202 41 
St. Peter's Iſle . . . 46 48] 56 10 | | 
Langley Iſle . . . . | 46 co 56 18 

(Cape Ray 0 47 36 59 8 

[Cape Anguille, S. Point of George” s Bay 47 52] 59 16 

Cape St. George, N. Point of St, Geo, ay 48 28] 59 8 

South Head of Bay of Iſlands 6 49 5] 58 21 

Bonne Bay . . . . 49 3?] 37 55 

Point Rich F . . . 50 40 57 24 

Point Ferolle . * . 31 $49 

Cape Norman . . . - | 51 39] 56 oO 


| — — — 
—— —ůů—ůů — 

— — 
— 


Coaſt of Labradore, and Straits of Belliſſe. 


Bellifle, in Entrance of ditto Straits 51 55] 55 26 


Cape St. Francis . . . $2 49 55 32 

Cape Charles 52 14] 55 26 
York or Chateaux Point, viz. South Naur; 51 56| 55 52 2 
of Vork, or Chateaux Bay . 8 

Red Bay . | 4 $344 $9 8 

| Ille au Bois . . „131 2557 
Green Iſle . . . . 51 22] 57 12 | 
[Grand Point | 2 9 © 1 8, 32 7 6 


324 Tatitudes and Longitudes of Places, 
Coaſt of Labradore, and Straits of Bellifle, continued. 
_— F . 
. of | Latit. | 
Names of Places, North.] Longit. 
5 EY o # 
Eſquimeaux Iſlands . . 51 23] 57 40 
Shecatica Bay . * . . 51 13 58 8 2 
Great Mecatina Iſle 0 ; . | 50 43] 59 OS 
[lands of Waſheminſker . « | 5o 5] 59 52 
Strait of Magellan, 
South 15 
Cape Virgin Mar . . „ 16 24 22 
8 Point F | . . 52 28 68 28 
Point Poſſeſſion ; . . . « | 52 23 08 57 
Cape Gregory « . « | 52 39] 79 31 
Dolphin's Foreland . . | 52 43] 79 53 | 
North End of Elizabeth's Iland » | 52 56] 71 6 
St. Bartholomew's Iſland . . « 4 $2-$01-71-. 4} 
Porpus Point . . . . „53 6/71 17 
Port Famine 2 . . «| 53 42] 71 28 
Cape Shut-u up . * 53 54 71 32 
Dolphin's Iſland . 53 59] 71 41 
Cape Forward, the ſouthernmoſt in all Amer. 54 3] 71 59 
Cape Holland . . 53 57] 72 34 5 
Cape Gallant , . | « 1-81 $4.73. 9% 
Elizabeth Bay . . » | 53 43] 73 24® 
York Point ; . 53 39] 73 32 
Cape Quod . . . 53 33] 74 6 
Butler's Bay 2 . 53 37] 74 9 
Lion's Cove . SH 53 26 74 25 1 
Good-Luck Bay . . 53 23) 74 33 
Cape Notch . - Q . 5 53 22 74 36 
Swallow Harbour 0 a 53 29 74 36 
[Cape Monday N . . 1 $3 12] 75 30 
Cape Upright . . . 53 "01 95 498 4 
Cape Providence f . 152.091 76 37 
Cape Pillar | . F „„ a 26 $83 
Meade of Direftion- n 3 
TABLE 


1 | | 


— —_—— 


* ** mt 


| TABLE XXXVIII. | 
| PANT I. 


Centaining the Latitudes and Longitudes of the principal 
Harbours, Capes, &c. which are not contained in 


the firſt Part of this Table: Extrafted from a po- 
pular Sea-Book. 


— 


. 
* 


The Longitude is counted from Lox pon. 


Coaſt of Greenland. 
I | Latit | 
Names of Places, North. Longit 
mm ÜH— — — — . — — 4 
. | 
Hacluit's Headland . . . nns | 
Fair Foreland 3 . . 79 20] 10 52 
Cape Cold, the North End of Charles Iſle | 79 of 10 o 
Black Point, South End of it F . 78 o] 10 30 


Dear Sound «. » WOW » | 79 15] 12 40 
Foul Sound , . 8 ' 77 28] 12 50 
Bell Sound . . . . « | 77 15] 12 40 
Horn Sound . . . 0 * . 76 45 I3 36 
Point Look-out . . oo 4.90 891 13 36 
Helies Sound . ' „ „ en 8+ 209 


Cape Barcan or Barcam . ' ' 78 15] 22 11 | 
Cape Blanco . ES” . 177 45] 22 30 
Ducks Cove , 77 35] 23 105 
Negro Point) Edges Iſland | . ; . . 76 55 23 30 [| 


Hope Iſland . . +. „ 
Cherry Ifland, or Bear Iſland . «4-94 $0: 15 8 | 
[ce Point, or Cape Deſire , „„ « | 77, 401 69 © 


Admiralty's Iſland . . . 1-76 © $5: $0 
Langeneſs , K 0 5 174 20 53 36 
Crois Point A ' . „72 Of 33 18 
Fretum Burrough . . . .| 70 of 61 20 


Colgoyen Iſle . . . » | 69g of 45 o 
Cape Candenoſe . . « | 69g 5 42 35 
Cape Barſo . . . „ 1-606 2307 $3 -0 | 


326 Latiludes and Longitudes of Places. 


Coaſt from Archangel to the Naze of Norway. 


„ 


f Lagtit. | 
| Names of Places. North. | Longit 
0 14110 / 
= amp" on . . 64 30] 40 30 
Cape Grace, or Cape Bona Fortuna 66 ol 36 30 
Cape Gallant, or Sweetnoſe 4 68 10 34 45 
Kilduyn Iſland . . . + | 6y 30] 31 20 
River Kola, Entrance 4 . 69 10] 31 5 
Fiſhers Iſland . . . . 70 o 26 38 
North Cape . . . . | 93-23] 23 28 
Tromſound Ifland . . 70 25 15 30 
land Sanien, South-Weſt Point . * | 69 35 13 o 
Loeford, Weſt Point . . * | 68 15] 9 49 
Werro, or Weroy Ifland . . « | 67 300 7 308 
ronten, or Droathem . . 4 63 40] 10 15 
Ranfdel . 8 * | 63 15] 6 30 
orth Point « | 62 20] 5 26 
atts Neſs, or Scuts Neſs, South Point 61 45] 3 36 
earle Iſland, the South End » | 6o 40 3 38 
North Bergen . . . » | 60 20] 5 40 
ommel Iſland, North Point . » 159 260 5 40 
. . . . . 58 5 6 10 
c * | 57 45] 7 24 
l.y/aſterland . a . . 57 53] 11 45 
| - _ — 
Coaſts in the Sound. „ 
Maerden . "RE ee IR RE Sb 
|Caperwick 0 my . ; 59 20] 10 10 
Anſloo, or Chriſtiana 0 . * | 59 go] 10 © 
Gottenberg Gat . . . * | 57 50f 12 15 
D . + | 56 3oſ 12 13 
Elſenburg Wy | 5 56 10] 12 30 f 
Valſterborn . . . 1 66-28] 19 ob 
Chriſtianople . . . 56 10] 16 © 
Calmer . NE IPL. . . " 40] 16 35 
outh En . . . 17] 15 30 
Oeland, the] North End : . mY bo 20] 17 o 
Landſort , . 3 . 58 40 18 20 


» 


Latitudes and Longitudes of Places. 227 
Coaſts in the Sound, continued, | 
e 0 Latit. | 
Names of Places, North.] Longit. 
0 0 , | 
Stockholm . . . . 59 20 19 30 
A bod . . . . 60 40 21 to | 
Raſeborg . . . . 60 28] 22 35 
Borgo . . . 60 400 26 0 | 
belting Sound . . . 60 32] 26 50 
Wyburg . . . . 6o 52] 29 16 
Peterſburg . . . 60 3025 | 
Narva . . . . 59 27] 28 25 
Revel . . . . . 59 27] 44 51 |} 
Nargin Iſland . . 59 35] 2430 
Sybranneſs, in Dagoo, or Dagerort . $9. "of $3:*'S | 
Arenſberg, in Oeſel Iſland . 58 20| 23 32 | 
Parnaw 5 . . 58 30] 25 47 | 
Runen Ifland . 5 . 57 55] 24 © | 
Ryga . . . . 57 25 15 
Domeneſs . . . . 7 zo] 24 © 
Der Winda . . . . 57 15] 22 6 
Der Memel . . . 55 48 + 36 
Coningſbur , . 54 43] 21 35 
Dan.zic : . . . . 54 22] 18 302 
Heel . 0 54 10 19 8 
Gotland, the North End . . 58 c| 20 15 
Faro Sound . . . 58 18 co |} 
Gotland Wiſbuy . 57 30] 18 30 þf 
{Gotland, the South End . . 57 0 17 45 |} 
Bornholm . . . . 55 15] 14 45 | 
Camin, or Hamin . . 54 30] 15 0 
ſaimond, or Rugen . . 54 401 14 0 
Roſtock . . . . 54 37] 18 40 | 
Straclſund . . . 54 25] 13 16 | 
Wiimar . . . . 54 to} 1 2 
Lubeck . * . 54 6] 957 | 
Copenhagen . . | 55 41 1250 
Eli nore . ; . 56 2:] 12 4: | 
[Uraniburg . . 5 54/ 12 55 | 
Anout or Anholt Ifand . e 
Leion, or Leſnow Ifland, or Jeſou 37 $1 30.39. | 
The ocaw 0 , ; 57 — 10 20 


— 


7 


328 2 and W of Places; , 


1 


| 
The Sea-Coaſts of Holland and Flanders, from the Scaw | 
to Calais, | 
Latit. Ee, 
| Names of Places. North. | Longit, | 
q 3 0 7 
Holy-Land, or Helighland Iſles . | 54 14] 8 35 | 
Hambrough . . . 53 41] 10 35 99 Þ 
Bremen . . . . 53 30] 9 © | 
Emden 133 $17.33 
Ameland Iſland, or Amoyland . 53 39] 6 20 | 
IScheling . . 53 27] $5 58 | 
The Fly . . . „33 16] 5 30 
The Texel 0 : . . 53 I5| 5 108 
Amſterdam . . „ 3 45 
Rotterdam . 7 . 51 551 4 30 
Antwerp . . . 51 10] 4 20 
The Brill . „ OT OO 
Middleburgh, in Zealand , [$1373 58 
({Sluys . . . . 51 14 3 43 
[Oſtend . . . 451 24] 3 -1 
{Dunkirk . . . «101 3-37 
| * * 
The Sea-Coaſts about the Iſland of Iceland. | | 
Grim's Hole, or Geuberman's Rocks. | 66 23 29 30 
Gamar iſles, or Gille . . 65 480 26 54 
Weſtmania Iſles . . . . 63 30] 22 54 
Rock Point X . 164 A $6 2x6 1 
Snow Hill . . . » | 65 11] 27 14 
Fair Foreland . . + | 66 20] 26 27 
i Rage Point, or Orgal Bay . » | 66 of 25 25 2 
Marza, or Largeneſs . . - | 66 8] 24 4 | 
Grimſa Iſle . . » | 67 15] 22 34*] | 
Lange Neſs ; . . . | 66-401 12:50 þ +. 
Bargarer's Point . . . . | 66 20] 16 35 | | 
Silly or Pappy Iſles . . V 
| Horn Bay . . 64 500 120 
= Merchants Foreland : : "163 517.33 | 
"Wt Portland gf . . . 04: 1 
| 


Green's Iſland . 8 8 . 66 59] 24 40 


—— 


Latitudes and Longitudes of Places. 329 


1 * 


| | The Sea-Coaſt of Brazil, | 
| Latit 
Names of Places. | South. | Longit. 
3 SF 

| Para River . . . . 2 oy 42 47 | 
Cape St. Roque 8 . . 5 Of 35 47 

| Rio Grande 4 , 5 20 35 57 
Permanbuco . . 7 48 35 30 

| Cape St. Auguſtine | $ 35] 35 20 

| [land Ferdinando Lorenha . 3 50o| 31 10 

| River St. Franciſco b . 10 50} 37 50 
Bay de Todos Sanctos . . 12 46] 41 © 
Port Segura 0 . 16 31] 40 35 
Cape de Abrolhos . . 18 15] 41. 7 
Spiriti Santo . 19 59 42 10 
Cape St. Thomas 5 . 22 10] 42 15 
Cape Frio 0 . . . 23 of 42 20 
(land St. Catharina . 93 8 127 50 49 © 
River Grande's Entrance . . 31 55] 52 o 
Cape St. Waria . 34 30 56 4044 
[River de la Plata, or Cape St. Antonio 35 40] 67 3684 
Cape de St. Andreas : 138 401 63 5. þ 
Bay Sinfunda, or Sin fendo . . » | 42 35] 68 © 

| Point de los Leones . * | 44 of 70 40 
River Camerones . . . 45 30] 73 o 

| Cape Blanco . F . 148 50 72 7 
Pepy' s Iſle . . „ - of 47 zo] 66 40 
Point of River St. Julian . . 148 40] 74 34 
Cape Virgin Mary of Magel. Straits 52 975 5 
La Maire Straits $4 7 
C. Horn, the S. Part of Terra del Fuego 57 30] 79 55 
[land dos Picos . . . 22 30] 25 rs 

| Iſland de Martinvas . * | 19 30 26 55 

| Hand St. Maria de Agoſta . » | 19 40 29 10 
Iſland Trinidada .. . . 20 30 30 0 

| -J|Hand Aſcenſion . . | 7 40] 14 5 

| 11 RV —— 

C 0ccaſts on the Main Continent in the E. Indies. 

North 

Muſcat . » . . 23 32 59 45 . 


_— 


U a 


Latitudes and — 77 Places. 


W 


} 


| Sea-Coaſts on the Main Continent in the Eatt-Indics, « contin. . 
| - 8 Latit. * 
N Names of Places. North. | Longit. 
| 08 SF 
Baſfora, or Buſero - , 29 45 49 20 
um baroon , . . 27 20 56 40 
Cape Glado . . . 25 50 63 34 
River de Sinda or Cinde , . 24 45] 67 35 
Dia Head: . . - 21 2 69 50 
nrat — . . . — | 21 10 72 25 
Dorman 2 . - . 20 73 30 
mbay Ifland . > 19 18] 73 
St. ſoun's 5 . - | 1955] 73'20 7 
Chaule, or Choale . 5 » | 18 31 73 37 | 
. . . . 18 374 o | 
aj apour Iſle a . . 17 „ 74 10 | 
Goa 6 . , . 15 31] 73 50 | 
Carwar . > . 14 47175 0 
M .oquelore . n . + ++ 12 53] 75 25 | 
Tellecherry . . . » |. 11 42] 75 28 
Callecut — © . . 11 16} 75, 30 
Cannanou . . . 10 22] 75 35 | 
Cochin . : 9. 54| 75 55] 
Anjanga „ . |. & 2 76 25 9 
Cape Comarin . — 3 7 50] 77 25 
olombo in Zeylone 7 71 79 30 | 
Point de Gaile“ or Gallo, on the fe 8 6 10] 80 10 
Dundree Head, on the ſame - 6. 2 80 45 
Trinconomale . . . 8 40] 81 40 
Great Baſſas Shoals . . - þ 6 23] 81 45 
£trapatram . I 9 50 80 10 
Neg: epatam . . Is 1] 79 55 
Tri ncumbar . 0 11 15] 79 50 
porta Nova . 11 4579 44 
Pondicherry . 5 12 54] 80 18 
ort St. David, or Tregapatam . Iz 5 79 48 
FConymere 12 35] 8& 5 
Fort St. George, or Madraſſapotam 13 110 80 32 
[Pullicit . * . 13 30] 80 22 | 
|Armegon . . . 14 160 80 12 
betapol . » . . 16 6 80 42 | 
Due Point, or Mecha SR ae” 16. $| 81 32 f 


ih. Att. 


—  —. 


14 
1 
8 
7 
4 
N 

, 


4 TT” CD On eee :»iw :: — 


Latitudes and Longitudes of Places, 331 


—— ü6—U—ʃ , 1 . wh YEN 1 


( —_— * 8 — * — * — 


| The Sea-Coaſts on the Main Continent in the Eaſt-Indies, | 


| 8 continued. | | | 

| , „ ; Latit. | 
Names of Places. North. | Longit, | 
5 17 1 q | 

IMaſulapatam . . . . | 16 22 81 10 
Maſſipore . . . . | 16 30] 81 57. 
| Viſagapatam . . , . 7 43l 33 57 
| Birmlapatam . . . | 17 51] 84 9 


Pondy . a 77 ĩ EE 
| {Jacarnaut Pagod . . . » | 19 51] 86 42 
| Arſepure . . . 3ö'—m 4. 16a | 
Point Palmiras . . . 20 42] 87 52 

Balaſore Road = . „ „ 4 IT. -| 


oint Cui . P . ; 0 . 12 10 109 2 i 
Siam Entrance h a : : 14 180100 55 


ambodia Entrance . 8 . | 10 280105 o 
Cape Anarilla, or Avarilla 1 13 251108 3 | 
** or Chinchen 0 , , » | 14 50% 56 


onquin V 
anton 8 . | . 23 14/113 | 
JAmoye Iſland . R ' « | 24 35/116 50 
| Hacktew . * | . | 26 300118 20 
| River Swadia . . . . 2 51 118 50 | 
| Liampo, Lingpo, or Ningpo ; . | 29 5920 35 
| 10nd Chuſan . . » | 30. 120 35 | 
WY anquin A . , ET 33 7129 1 | 
; Pekin , 5 39 544116 28 } 
| 4 
——r— —— ——— — | 


332 Latitudes and Longitudes of Places. 
Iſlands in the Eaſt-Indies. 
Latit 5 
Names of Places. South. | Longir. 
. 
St. Paul . , — 38 20] 75 25 
Romeras de Caſtelamas . . » | 28 45 67 17 
St. Joan de Liſbon . . . - | 25 24 53 30 
Diego Reys . 1 19 co] 61 30 
St. Brandon . . . 16 38] 64 30 
Mauritius . . . 20 10] 52 55 
IMalha . 11 15] 60 30 
C. St. Mary, S. End of St. » | 25 47] 46 10 
C.D*'Ambre, N. {F Laurence . | 12 to} 51 5 
St. John de Nova 0 . 17 21] 43 20 
St. Chriſtova . . 17 36 43 40 
Mayetto . . . . 13 10] 45 38 
Joanna . . . 12 10] 45 3 
Mohilla . . . > -» 3 18 $7.44 $9 
Comero, or Angazecha . . » | 11 40 43 50 
Marſia, or Monſia . R 8 7| 40 15 
Zanzebar 7 . N . 6 48] 39 57 
Penda . . . 5 20] 39 35 
omero . . . 10 30] 44 39 N 
Coſmeledo . . . . | 10 14] 51 17 | 
ſuan de Nova . . 9 30 52 40 
Aſtore Iſle . 9 55] 53 50 
Agalega, or Gallega 0 9 471 54 31 
Setta Hermanes . 2 47] 59 13 
| IQuevelo, Quebello . 3 55 52 36 | 
| Baſſas de Banhas . 5 5] 48 46 
| Hermanos . , . 3 32] 5445 | 
12980 Iſland Gratio . R 6 10] 63 | 
Padra Banhas . 2 10| 65 32 
Baſſas de Chagos, or Iſland de Chagos 6 55 68 45 
Three Germans . . 4 30] 62 43 
Croſs Iſland , 6 . 4 10] 58 5 
| Narth 
acatora, or Zacatora . # $2 321} -£4:1'Y 
[land Abdeleur : : 0 12 71 4 
ee . F , 8 19] 71 45 
Malique . 3 . 9 ol 72 58 
Garip*, 0 or Gripe a X 9 10 40] 72 37 


2 „„ * — — — e — — -- — - — — - 


Latitudes and Longitudes of Places. 333 


| 


Iſlands in the Eaft-Indies, continued. | | 


es. tha — 


| Latit. | 
Names of Places. North.] Longit. | 
8 e mn iy. 00-0-0-4 
Qualpena . . X „3 10 73 30 | þ 
Andomaon, or Antada . - - | 11 1of 73 32 1 
| [Ceylone, South End, C. Gallo . . | 6 8] 81 15 | 
Waldiviz | North] Part e 
Vas de Diego ber, EP | .| o 20] 72 © | 
Wanila , . . 1 142091319 6 


Aynian 1 N. E. an Point . . 


140 3ot 
Japan 18. U W. { Point » 35 © 125 = =| 
Kocas . b . . _ | 4 IC 91 2 | 
| Andaman the middle . 1 35] 93 19 
| Borneo . . . . 4 goto 55 
| Nicobar . ; a 7 11 93 40 
| North-Weſt End of Sumatra . «| 5 22] 94 50 | | 
South. | | | 
| Bencola | . 3 55104 8 | 
| South-Eaſt End of Sumatra . .| 5 22|log 50 
| Jambe .. . . . 5 0 1 19/102 55 | 
Bantam . . je OA .} 6 1105 55 
Batavia R 8 : . #0 16 106 46 


The Southern Iſlands, or C. de Verde Iflands. 


North 
St. Antonio . . . | « | 17 35] 24 40 
St. Vincent . . | 17 15] 24 25 
St. Lucia, or Round Iſland . . | 17 7| 24 20 
St. Nicholas . . . . 19 of 23 35- 
Ile de Sal . . . . | 16 55] 21 56 
Bonaviſta . . 5 16 5 22 9 
Mayo, or Iſland May . . | 15 14] 22 8S 
St. Jago. . . . . . | 15 8 22 45 
Fuego, or Fulgo 3 5 . | 14 Fol 23 35 i | 
Brava's . . . 5 WO 2. 


St. Paul ; 8 R : 1 20] 25 30 / 


| Kg 


OO „ — 2 — "_ 0" s 
. a. 4 td „ n 


334 Leatitudes and Longitades of Places. 

| The rr Ilands. 

| Names of Places. 

| 5 F 
ancto Porto N . . | „ . 

iMadeir a Weſt-End . | * 
alvages VV 
alma . a . . . . 
erro » 0 © . . 
omero a 6 
ico Tenerifr * o i . | . 
rand Canaria . 0 6 . 
llegranſa . . . . 
ancerota 


4 
| 


. South-Weſt . 


The. Weſtern Iflands, 


t. George d 8 


Gratioſa . 0 . 
Whale-Fiſh | * . 
Vajo, or Vegia 

St. Michael | f 
Formigas, or Hormigas 


. 0 * 


Hud fon's Bay. 


Cape Farewel ; . 


Cape Elizabeth . 5 : 


_ [Saliſbury Ifland, 5 . 


Mill's Le - 1 CE 
Nottingham Iſle 5 
Shark Point . 0 0 K 


Cape —— . . 


and Reſolution „ 
Ween Anne's Fore land . 
Jalvages Ifland . . 


The Sea-Coaſts of the North Part of Ametica, | 


70 17 
63 45 77 13 
64 2 


63 30 - 15 


4 39] 82 55 |. 
61 551 86 48 


— — — OE i ee 


. F 


— 


r 


Latitudes and Longitudes of Places. 


* 


a. _— 7 „ 


— 


The Sea -Coaſts of the North Part of America, Hudſon' — 


3.38 'T 


Names of Places. 


2» 


» 


. | Longit. 


— 


—B 


ho = 


Sir Thomas Roe's Welcome . 
Cape Churchill . * 
bort Nelſon, or York Fort 


New Severn 


Viner' 8 — 


Albany 
Point Comfort 
Rupert's River 


-ape Henrietta Maria 


Mouſe 8 r's Mouth 


Frenchman's River 


* 


* 


Charlton's Iſland 9 0 


Jolomon's Temple Hand 
Weſton's Ile . 5 


Rear's Iſland _. . 

Baker's Dozen's Iſles . 

Sleeper's Iles 

* iſle, the middle | 
Cape [Jones . 

-ape Walſingham , 
ape Charles . . 
— 's Hles F ws 
adouſack * a 

Quebec 
Anticoſti Iſland, the middle - 


ape Britain . . 
Cape Sable . . 
Point or Port Royal — 
gdenohſcut River ; 
North Yarmouth 6 
Piſcataway Entrance . 
ape Anne Iſland FE 
Cape Codd .. . 

n Boſton . . '. 


Shepherd*s Iſland 1 . 


Cubs Iſle 9 . „ 


ape St. Charles, or Charles — 


— —_— 


/ 


„ — 4 
4 


— 
2 „ — — 


336 Latitudes and Longitudes of Places. 


— 


ea Coaſts of the North Part of America, Hudſon's Bay, contin, 


. gt Latit. 952 
Names of Places. North.] Longit. 
| | SF 1 
lymoath | G + | 42 2] 68 zo 
South of St. George” » Bank . * | 41 45] 67 15 5. 
outh End of Nantucket Shoals - * | 39 59] 68 235]. 
Nantucket Iſland . . . 41 I5| 68 48 
Martha's Vineyard a 0 41 14] 6g 9 4 
T he Sea-Coaſts on he Main Continent in the mw 
Weſt-Iadies. * 3 
8 | 
Elizabeth's Iſland | [at's . * + | 3569 13 
lock Iſland  _ . . .  »  » | 41 4g/:60 58 
Montock Point . . - | 41 18] 70 20 
Fiſher's Iſland &« «© « J 41 20] 70 40 
New-York IT . . . | 40 42] 74 14 | . 
— HooæKck . . 140 28] 74 15 | 
James or Henlopen . « | 38 480 75 28 
rg wok . . . iÞ 39 57] 75 30 
ape May . . . «| 39 of 75 15 | 
ape Charles Th > 146; 248975 231-96: 12+] 
Cape Henry . . oy 36 58] 76 23 | 
Cape Hatteras R . « | 35 15] 74 20 = 
Cape Feire . . . » | 33 $8] 76 543 
Cape Roman or Cattit . . 33 27] 77 50 
Aale River, or Charles Town . 133 5] 78 46 ] 
Port 1 ** , R . » | 32 of 79 43 ; 
Bay of St. Auguſtine <. _ >» . | 30 10 80 43 
Cape Florida $1445 24 57] 80 30 
Laphillapina, or Apalachia . 29 47] 84 44 |. 
R. Spiritus Sanctus, or _ R. Mouth 28 54] 96 50 
Tompeck . . .. 22 200100 15 
Liva, or Vera Cruz R : . | 19 12] 97 48 
Sierra, or Cape de Martin 5 .| 19 10] 95 45 
Triſte, or Trieſte Iſland . „ '+» 18 19 91 20 
Campecha . = , 19 30] 92 10 
Cape Condeſedo . . . 20 40 89 40 
Cape Catocha 8 3 Lai 10] 86 10 1 


4. 


— 


Tatitudes and Longitudes of Places. 


337 


— 


The Sea-Coaſts on the Main Continent in the Weſt-Indies. 
Latit. 
Names of Places. North. | Longit 
\ 7 RR = 85 80 > | ©: | 
[Salamanca « 855 0 . 16 Fol 89 10 
Cape Honduras R 3 16 25] 84 45 
Cape Camaron . . . | 16 10] 83 30 
Entrance of Nicaragua . . | 11 25] 84 15 
Porto Bello . 14 9 33] 79 45 
Darien, on Scotch Settlement . 8 30] 78 45 
Carthagena 10 28] 75 21 
Cape Conquiquaco, or Coquibaco . 12 40] 70 42 
Iſland Curaſoa, or * . » | 12 10] 68 15 £ 
Iſland Margaritta . . 11 20] þ3 202 
Iſland Trinidada . 10 15] 60 17 
Mouth of Oronoque River . . 8 15 59 25 
2 Three Points 6 ay . | 10 30 62. 10 
Cape Naſſau | „8 7 
N. Cape, the Middle of Caopory Land 2 6 49 5 
Suranam 1 6 25 56 50 
Cape Orange . . * | 4 251 $5325 | 
Mouth of Amazons River 1 . o ol 49 56 
22 
— 1 5 3 — 
Iſlands in the Weſt-Indies. 
Tobago, Weſt-End . . . | 11 10 59 10 
Barbadoes, at Bridge-Town A . | 12 58] 58 50 
Granado q 4 5 , . | 11 57] 60 20 
[Granadillos ; « | 12 20 59 55 
Boquia . . - . «| 12 50 59 53 
St. Vincent . . . + | 13 12] 60 12 
. . . . | 13 55] 60 4 
Martinica . . . 14 43 60 5484 
Dominica . . . 15 23] 60 30 
Marigallanta . . « | 15 58] 60 20 
Guardalupa a 0 - [+ 3-4: %%% 406-06. Is 
Deſſeada . . . 16 20| 60 10 
Antigua . . . 17 5 61 45 | 
Barbnda 4 : 17 561 60 40 | 


— __ — 
— O_o _ — — 


— 
IB 3222 


ti _—__@@. 


Latitudes and Longitudes of Places. 


| Tflands in the Weſt-Indies, continued. 


— 


2 
9 * i. tha 


” 


7 Latit. | Hg: 
Names of Places. North. | Longit 
| o 1 23 
ontſerrat * . - « | 16 45] 62 15 | 
Rodondo 0 A 16 55 61 15, | 
evis . . « | 17 5 62 32 
St. Chriftopher's . . « | 17 17] 62 40 
Euſtatia = 5 . 24 2/62 20 | 
Saba » d 20 3 7 35 62 40 
St. Bartholomew . » « | 17 52] 62 6 
St. Martin's . . . 18 6 62 10 
Anguilla wy. . . 18 17] 62 13 
2mbrero * ” 18 35 62 30 
mo . . . . 18 47 62 46 
. Cruize RR . 17 52] 63 30 
irgins . . * 18 30 63 25 
mts Thomas a 18 30] 63 22 
t. John de Port Rico . . 4 18 30 65 37 
2 Rocks of Aves 12 1 64 30 
ortuga, or Tortugas OE «| 11 un 63 54 
argaritta — 7 . 11 20] 6 
Blanco . > ; . | 13 5© 
eſtigos . . . s | FI 35 
D*Orchila — . . +1 83-48 
Bonairy, or Bonaire 4 . „5 4b: TY 
Aruba . . » | 12 50 
aſt-End of Hifpaniola . . | 8 18 
Weſ-End of the ſame EE, ok . | 18 26 
aſt-End of Jamaica . . 11 
Port-Royal, Jamaica . . « | 7 40 
Weſt-End of the ſame . , 18 8 
aſt-End of Cuba . . . 20 15 
avannah | 5 "iS 22 40 8 
Weſt-End of Cuba ARE X 21 40 
La Bermudas 8 * 132 25 
Bahama Iſland ; a 26 50 
Abaco, South-End © 26 ol. 
Andrews, or Androſs, or North-End ; 25 10 
Providence . 0 „ ; 25 O 
1425432 


Harbour Iſland | 
— South-End, ſed Hathern 


24 4 


. a. A. 4 —_—— * 


2 * 


Latitudes and Longitudes of Places. 339 


Iſlands in the Weſt-Indies, continued. 


Latit. | 

Names of Places. North.] Longit. 
| [ . 
Cat-Iſland, the Middle . „ << $6886: 19 $- 7 
Watling's Iſland . . 24 3] 74 35 
Rum Key . . 8 423 45] 74 50 
Exuma 0 „ai 
Crooked Ifland, North End A . | 22 56] 74 12 
Long Iſland, South End » + „ » | 23-41} 74 $8 
Atwood's Keys p a » | 23 10] 73 35 J 
Mayaguana . 5 . 22 351 72 46 
French Keys . . . | 22 40] 73 40 
Merapervouz . A . . | 21 58] 74 45 
Hogſties 0 . > 21 27] 73 55 
Hincago, Weſt-End . R « | 20 25] 73 40 
Weft Caicos . ; . | 21 38] 71 58 
Turks Iſland . . | 21 35} 70 8 
Abrolho Bank, the North End „ > #1: 35} 69. & 
Plate Rack , . R . 20 10] 68 152 
Mucares . 4 | 21 30] 76 35 
Verd - . ; ; . | 21 17] 76 16 
Cajad Zal - , ; 23 lo} 79 24 
Pinos· ; 5 a 4 - | 21 20] 84 20 | 
[Great Camains . a . | 18 54] 81 29 
[Little Camains . . - | 19 30] 80 24 
St. Andrero A . . » | 12 23] 80 17 
Camanuback , . , 19 8 80 11 
Pedro Shoals, North Side x . | 17 10] 77 56 
St. Milan . . . . . | 17 10] 81 28. 
Guayna . . 2 . | 16 53] 88 30 
Cozumelli , 5 : . | 19 30] 89 ; | 
Zuna Quita . . . | 17 11.59 4 


Xx. TABLE 


1 , R 
—— — 


C000" 


— 


* 


in various Parts of the World ; | 
Authorities; which will be frequently of Uſe in cor- 
refting the Defelis of thoſe in Part II. | 


For if the Latitude and Longitude of any Place, which were 
| Hand in this, they ſerve not only 

to correct that particular Place in that Part, but alſo other. 
neighbouring Places: And, in this Manner, as Leiſure will 
permit, and good Materials can be collected, I hope to make 
e 2d Part of this Table more correct. 


given in the zd Part, are alſo 


— „ 4 — 


—; AB3 ESE 


PART III. 


ontaining the Latitudes and Longitudes of ſundry 1 
collected from goo 


* - WP” CNA 


| 


ames of Places lying between 60® and 80 


North Latitude, and between o and go" 
| Weſt Longitude, 8, Latit. | Long. 
8 1085 ; | e „ „ 
ape Reſolution, Hudſon's Bay, c. 61 29 65 16 
Button's Iſles [Lat. by Capt. Davis, in 
1585, was 61 1o'; but another 00 165 16 
9 f . . „ „ 5 4s : 
Saddle-Back Iſland 0 0 „ * 468 94.68 nt 
Iſland of God's Mercies, or upper Savage Iſland 62 32] 70 48 
Cape Charles . R . . 62 46] 74 15 
aliſbury Iſland . , . „ 03 28870 #3 
ape Walſingham | . . 3 . 62 39 77 48 
ape Diggs 574. „ TSS Yo So 
orth End of Manſel Iſland . 0 62 38] 80 33 
Cape Pembroke , 3 52 57] 82 © 


As theſe Latitudes and Longitudes are founded on Obſer- 
vations made by Mr. WaLes, (a Gentleman whom I have the 
Pleaſyre of knowing to be an ingenious Aſtronomer,) I think 
they may be depended on, though they are in ſome Degree de- 


enden on the Run of the Ship. 


The Latitudes and 


ongitu es ay net, | are collected from the Philoſophical 
ublications by the Aſtronomer- Royal, 
HawREIswoxrn's Voyages, &c, &c, 


Tranſactions, ſome 


ON itudes and Longitudes of Places. 


34 


ö 


\ 


| Places between Latitudes 60 and 80 North, and Longitudes 


o and 90 Eaſt, 
os bs Country o. or | 
Names of Places. Coaſt. Latit. Long 
* "44 ET 25 3 7 
Abo . . Baltic Sea 60 27] 22 13 
Archangel . . White Sea 64 34] 38 6 
Cajanebourg . . inland 64 13] 27 51 
Drontheim is . .|Norway 63 26| 11 
Hernoſand . . Sweden 162 38 17 5 
Kola > a Lapland 68 52] 33 
North Cape, or Iſland Magaro Lapland 71 10] 26 5 
Tornea . . A. Sweden 65 51 24 12 
Umba | | » [Ruſſia 66 39] 34 15 
Place between Lat. 60® and 800 
| N. and Long. go“ and 180% E. 5 
| 3 | ; 
[Jakutſkoi . „ « [Siberia 62 21129 52 
| Ry 5 | 4 
Places between Lat. o and 60, N. | 
| and Long. 9o and 180% Weſt. | 
Churchill River, Pr. Wales Fort. Hudſon's Bay | 58 47] 94 55 
[Mexico x FD New Spain - 19 54100 5 
gt. Joſepßn California 23 3109 35 
| # | 

ö — — 1 — 
ö I 
Places between Lat. o and 60%N. 

and Long. o and 90 Weſt. 
Great Bear Ille , . [Hudſon's Bay | 54 34 79 56 
Cambridge a + [New England | 42 25] 71 10 

ofton © : : New England} 42 25 70 37 
Cape Henlopen Maryland 38 47] 75 13 
{Havannah, in the Land of Cubal Weſt Indies _| 23 12 2 18 


— 
n 9 


„5 


e — 
- 


| 
| 


— —U—ͤỹ— ES 2 — 9 


342 Latitudes and Longitudes of Places. 
Places between Latitude o? and 60 North, and Longitude o- 
and go Weſt, continued. 
| rol Country or | 
Names of Places. Coaſt, | Latit. | Long 
| ; 1 3 
Port-Royal, in Jamaica. IWeſt Indies | 18 of 76 45 
Port St. Louis, Hiſpaniola Weſt Indies | 18 19] 73 
Louiſbourg « Cape Breton | 45.54} 59 55 
t. Paul's Iſland ; [Cape Breton | 47 12] 59 56 
North Cape . [Cape Breton | 47 6 60 8] 
St. Martha . . « [Terra Firma | 11 27] 74 4 
Fort Royal, in Martinico , . Weſt Indies | 14 36| 61 15 
Norilon . Fa » | Penſilvania 40 lo] 75 17 
New Orleays - . « [Louiſiana 29 580 8g 5 
Panama . . Mexico 8 58] 80 21 
Pau 5 A „ [Switzerland 43 15] o 9g 
Petit Grove, Iſle Hiſpaniola , |Weſt Indies | 18 27 72 34 
Porto Bello : - e«[New Spain- 9 33] 79 50 
Quebec F . Canada 48 4771 12 
Cape Sable ; ; - INew Scotland 43 24] 65 30 
Pic of Teneriff . - |Cananes | 28 13] 16 32 
Iſle of Thomas 0 » Virgin's Ifles | 18 22 64 33 
ape Verd . . | Negroland 14 43] 17 10 
irgin Gorda Fort i » | Weſt Indies 18 18] 64 o 
New-York 6 ; New England | 40 43 74 9 
arthagena »« . Terra Firma | 10 27 75 26 
ayenne, Iſle Cayenne » [AtlanticOcean} 4 56 52 15 
harlton Iſle . » [Hudſon's Bay | 52, 3] 80 10 
Porto Cabello . . . |Terra Firma | 10 3o| 67 32 
ERA Ile, at the Town { from : | . 
this Place French Charts Canaries 27 47 17 33 
frequently count the Long. ).. 
ape St. Frangois _. . |Hiſpaniola 19 57] 72 10 
Straits of Fronſac (narroweſt | 
Part, oppoſite a high Moun- Nova Scotia | 45 39] 61 2 
tain towards the Continent) 
Fort Praja, St. Jago, — . 
per Reck. 23 0 . E: 14 53 
Madeira . 0 —— 32 34] 16 35 
Gibralter . R 29 —| 36 5| 4 4 
Philadelphia . Ipenſilvania 39 57l 75 213 


Latitudes and Longitudes fab Places. 


— 


343 


— 


| 
Places between Latitude o and 60 North, and * 0 


| and yo Eaſt, 
Tn. 3 Country or | = 
Names of Places, Coaſt. Latit. | 
Agra . India 26 43 
Antwerp . . Flanders 51 13 
Balaſore . India 21 20 
Berlin . . German 52 32 
F. William, Calcutta R india 22 36 
Calmar . . - [Sweden 56 4 
Cambray . Netherlands | go 1 
Carleſcroon . » [Sweden 56 20 
Caſan . . » [Rufſlia 55 44 
Chandernagore . » India 22 51 
Cape Comorin . + india 75 
Copenhagen . Denmark 55 41 
antzic . . - [Poland 54 22 
Erzeron > . Armenia 39 57 
rawenburgh . . Pruſſia 54 22 
Geneva . . » [Savoy 46 12 
Gent . . + e[Netherlands | 51 
Gottenburg - sweden | 57 42 
ottingen Ob. . Germany 51 32 
Gurief? . . » [Aſtracan 47 
Grypſwald . . Pomerania I 54 42 
Hague . » Netherlands | 52 
Landau . . . Germany | 49 13 
Ungolſtaddt . Germany 48 46 
Landſcroon Sweden 35 52 
auſance . . „Switzerland 46 31 
Leipſic . . Germany 51 19 
eyden . . . '|Holland 52 10 
Lunden , . Sweden 55 42 
Malines : s Netherlands 51 
Mons 2 0 Netherlands 50 27 
oſcow 6 . - [Ruſſia 55 45 
ieuport A „Flanders | i 
uremberg =» ' . |Germany | 49 2714 


— — 


344 Latitudes and Longitudes of Places, 


rue between La 


titude o and 605 North, and Longitude oe 


and 90 Eaſt, continued. 
| | Country or 
Names of Places. Coaſt. Latit. | Long 
o i} 0 / 
Orenbur . . [Aftracan 1 46 I 
Oſtend a . . German Ocean 4 14 2 * 
Orſk , . Aſtracan 51 12] 58 32 
St. Peterſbourg Ruſſia | 59 56] 30 28 
Prague . 6 | 1Bohemia 50 4| 14 45 
Ancient Rakah , - [Meſopotamia | 36 1| 38 50 
otterdam =r . . [Holland 51 56] 4 28 
Stockholm . Sweden 59 21] 18 8 
Tobolſki __ .. X JRuſſia 58 12] 68 13 
_— . Sweden 59 52] 17 43 
raniberg . Denmark 55 54 12 52 
Vienna, the Imp. Obſervatory | Germany 48 13] 16 22 
Wittenberg . [Germany [51 43] 12 33 
Places between Latitude o and 
60® North, and Longitude 90⁰ 
and 180° Eaſt, | 
Achem . . . India 
[Canton . . [China 
Iſle Pulo Condor . » [India 
Iſle of Cummin . China 
Hoai Nghan 5 China 
- 4[ſlamabad . . India 
Juthia . . . {India 
Louveau . . India 
Macao . . China 
Malaca . . > India 
Manila, Iſle of Manila | 
Mergui . . India f 
Nangaſachi . Cap. Japan 
Ningpo . ; Z China 
[Pekin . . . China 
Iſle of Pulicondo , Gulph of Siam 
China " 


Si-nghan-fu Ee Argo. 


lt. 


8 


* 


Latitudes and Longitudes of Places. 345 


Places between Latitude o and 60 North, and Longitude go9} 
and 180 Ealt, continued. 


—_ —— — 


— 


. | Country or [ © | ws 
Names of Places. Coaſt, } Latit. | Long. 
N 939 
Ille Pulo Timon , - |Gulph of Siam 3 oftos 25 
Piſcadores 7 South End ., — 11 067 30 
Iſlands $ North End — 11 2cj167 © 
Tinian . . « — — 14 580145 5 
Grefton's Iſland — 14 — — 21 41121 © 
Pulo Arce 6 . 2 200105 © 
Places between Latitude co and : 
60® South, and Longitude gou) 
and 1809 Weſt, 
Whitſunday Iſland . «. [South Seas. 19 261137 5 
Queen Charlotte's Iſland . « | — 19 18138 
Egmont Iſland 8 — 19 201138 30 
Duke of Glouceſter's Iſland . —— [19 111140 6 
Duke of Cumberland's Iſlands — — 19 180140 34 
Prince William Henry's 1fſftandd [9 9141 6 
Oſnaburgh Ilan . — 17 $11147 30 
K. Geo. III.'s Iſland J S. E. End — 17 481149 15 
or Otaheite . N. W. End — 17 30150 © 
{Duke of York's Iſland . «|-—— ———| 17 280760 16 
Sir C. Saunder>'s Iland . — 17 280157 4 
Lord Howe's Iſlaud X . — 26 4054 13 
Scilly Ifland . . | 10 281155 30 
Boſcawen's Iſland . | 15 500175 10 
[auguſtus Keppel's Iſlanet i 5375 '3j 
Wallis's Iſland l F — 13 180177 © 
— — — — — — 96d . ku. — 
Places between Lat. oe and 60% 
South, and Lon. oo and go Weſt. | 
. 5 Peru 18 27 71 11 
lille of Aſcenſion + © e[ Angola 7_28, 13 59]. 


„ 
— 


246 n. and Longitude of Places. 


1 
laces between Latitude o' and 60e South, and 1 65 oo 


W — 


ang go Weſt, 
oy Country or 
Names of Places. | Coaſt. | Latit. | Long. 
Cape Blanes . * -» [Patagonia 
Zuenos Ayres = * . Br azal 
Callao - 0 „ P cru 
St. Catharine NE RI Plata 
onception 0 v4 Chili 
aquil . . 0 eru 
If 2 * - + fAtlanticOcean| 
. « + [Benguela 
. + [Brazil 
. = P cru 
. . "cru 
A Peru 
. „Chili 
5 „peru 
{ 1 | . Chili 
ort St. julian . - » fPataponia 
C inde ö . . . Braz 
ape Virgins + [Patagonia 
bo, be Vir: . . »- {South Sea 
virgo Mar y WM . 5 — 
deln Poſſeſſion . : — — 
Point Porpus . & 8555 
For! F amine . . „ — 
ape Forward . . — 
ape Holland — 2 — 
De . . . — 
a u 5 5 0 — 
—_— Tz 
ape Upright . . — — 
ape Pillar (Lon. per Reck. 7601 —— — 
laces between Lat. oo and 60 8. 
and Long. o and go* Eaſt. 
fle of Bourbon, St. Dennis . Madagaſcar 
fland M:uritius, Port Lewis IMadagaſcar 
_ — — — 


—— „ wt. 
* 


„ — — 


1 


Latitudes and Longitudes of Places. 


5 


347 


Bron 


| Places between Latitude oo and bo® South, and Longitude of 
| and go® Eaſt, continued. 


—— _— 


untry or 
Names of Places. . | Coaſt. Latit. 
j © „ 

Rodrigues . [Malagafear 19 41 
2 of Good-Hope, Tes. 33 55 
Cape Point 2 — 1 34 29 
[Cape Falſe, or Hanglip "NT — 34 10 
1Saldanha Bay . . 33 1 
{Daſſen Iſland 3 « | — 33 25 
Hout Bay . . . 34 3 


* vs « 


60® South, and Longitude go 


Places between Latitude oe = 


and 180% Eaſt, | 
Lucipara 0 a South Sea 4 io 
Batavia, Iſle Java . 5 — 12 106 4 
Princes Iſland . 8 6 41103 3 
* 


TABLE 


( 348 ) 


of the Variation of the Compaſs, obſerved from the 


"3 ABLE XXXIX. 


Year 1706, to 17069, inciuſive. | 


Lat. 4 Var. | 
N. W. W 
N 
62 6840 
50 8 222 
50 7 180 
3630 | 143 
34 | 33 | 11z 
33 5 
2137 42 
15 | 24 83 
1 1: 482 
Lat. | Lon, | Var. 
MEE CHE, 
16 [144 | 53 
15 1145 05 
11 | 1067 19 
Lat. | Lon. | Var. 
N. E. W. * 
21 1121 1 
2 105 1 


| 


11 Siu 


Lon. | Var. 
W. 
113 
14 | 10 

Lon. Var.) 
E. W, 
3 24 
18 | 19% 
42 | 26 

104 I 

74.8 

105 [none 

Lon. Var. 
. E. 
165 | 11 

159 | BT 

v1 - us 


TABLE 


——— — — 


——— ——— — 


( 749 ) 


| High-Warter, Thea find 


for a more correct Time 


TABLE XL. | 
For finding ' the Time of High Water, on new 
Principles. 
— \ Atter Atter | Before 
| = [New 0:] Before |Firſt or New or 
= | Full | Firſt | Laſt | Full 
2. | Moon. Quartr. Quartr. Moon. 
Sf] Add | Ads | Add |Subtr. 
<5 k 4-4 4-4 hh: 8-4 bh 68 
9 o0'01445 [4 45]02_9 
— * — 
4 8437 [453197 
8 0 164295 11 15 
124 0 234.225 21922 
10 314 f 18]0 30 
200 0 39 4 65 26] 0 37 
10 47 |4 0 | 5 34 O 43 
40533525 40105! 
810 593 465 59 59 
14 1 513 40% 6 116 
166 1113 336 231 14 
200 1 17 | 3 27 | 6 30 | 1 22 
2 ol t 24 | 323]6 48 | 30 
a 1 350 ]317|7 %% 39 
8] 136] 3 127 12] 1.47 
121 1 423 6 24| 1 56 
IFD 
200 1 54 | 2 56 248 [214 
3 oz of %% 8 o| 2 23 
42 6| 2 44 [8 122 34 
81 2 12 2 39|8 24 2 45 
121 2 18 | 2 328 36 2 55 
16| 2 24 2 26 848 | 3 6 
2c| 2 30] 2 21 9 013 17 
e 


To find the Time of High-' 
Water by this { able, 


Firſt, by Tab. XXXV. 
find the Interval of Time 
the neareſt Phaſe of the 
Moon, to the Noon of th 
given Day, is diſtant from 
that Neon, Againit this 
Interval, in the prope 
Column in this Table, 


'will be the Hours and 
— — Minutes to be added to, 
| or ſubtracted from, the} 
Floaving of the Port, my 


the e/fimated Time o 


the Interval of Time of 
the nearet Phaſe from} 
the eſtimated Time; with 
which Interval take out 
of this Table the Hours 
and Minutes to be added 
to, or ſubtracted from, 
the Flowing of the Port, 


of High- Water. 

li is intenied to treat | 
more fully on this Subject, 
in the Elements of Navi- 
gation, 


ac 


* * I have contrived an Iaſtrume 
(price Two Shilling 


Tile Inftrument 2 . | 
Lhe U. Water on theſe Principles; alſo the Sun and 


Time of High 


Mcon's Place fer any Day, 


High-Water, on common Principles, 
and Tide Inſtrument, (Price 1WO 9 
igetors, in correcting their Cour 
Time of High- Water, on 


Nav 


of &naing the 


Abbé ge la Cailic. 


8 


nt, entitled the Lanar and 
,) which ſhews readily the 


the Moon's Southing, and Time of 


Ec. —— Alſo a Variation 
Two Skillings,) very uſeful to young 
ſes, Sc. with the Method 


the Principles of the 


4 


— UPÜ _——_ 


( 350 ) 
000000606 0000000000080$0090 


A LIST of the TABLES contained in this 
| Volume. 


TABLE of Logarithms . Page 1 
Of Artificial Sines, to every {Point of the Compaſs 44 


able of Artificial Sines and eee 3 with Na- 


I. 
II. 


III. 
— _ tural Sines . * 46 
IV. Table for finding the Latitude by two Altitudes 156 


V. Table of Log. Verſed Sines, with Natural Tangents 
and Secants 


1 
VI. The Angles which every Rhumb, or Point of the Com- bas 
paſs, makes with the Meridian . 153 
VII. Of Difference of Latitude and * to Points 
and Quarters . . 154 
VIII. Table of ditto, to Degrees . 170 
1x, Of 4 1 which make a Pages of Longitude i in 
titu — . 21 
X. A Tabie of Meridional Parts, both to the Sphere and : 
Spheroid 6-4 216 
XI. A Table of Miles in every Spheroidical Meridian 242 
XII. Table of Amplitudes . 243 
XIII. * of Change of Azimuth to 1 Degree of Alti- 
tude | 247 
XIV. Table of Aſcenſional Difference 0 248 


XV. Table of the Time of the Sun's Riſing one Degree 250 
XVI. Table to turn Time into Degrees, and the * 251 


XVII. Table of Refraftion . . . 252 
XVIII. Table of Depreſſion . 253 
XIX. Table of the Sun? s Parallax of Altitade . 253 
XX. Table of the Semidiameter of the dun 253 
XXI. Table of the Sun's REI and Equation of 
Time . 254 


XXII. 'Table of the Sun' , Place Declination 0 266 
XXIII. Table to change the Sun's Declination to any Me- 


ridian « 278 
XXIV. Table of Right-Aſcenſion and Declination of Stars 279 
XXV. Table for the North-Star A b , 281 
XXVI. Table of equal Altitudes 0 55 282 


Table of the Moon's Parallax 4 28 
XXVII. Ta | xv fü 


Liſt of the Tables. 351 
XXVIII. Table of Dip, when Land- locked 289 
XXIX. Table of Length of Knots . . a 
XXX. Table of the Dominical Letter, Prime, and Epact 286 
XXXI. Table of the Moon's Southing . . 286 
XXXII. Table of the Number of Months . 286 
XXXIII. Table of New Moons . . . 287 
XXXIV. Table for finding the Diſtance of Objects at 288 
XXXV. Table of New Moons, &c. d 289 
And to find the Time of High-Water 290, 291 

XXXV.* Table of Difference of Parallax and Refraction, 

to find the Moon's true Altitude * 855 
XXXVI. Table of Variation . . 297 
XXXVII. A Tide-Table . . . . 301 
XXXVIII. Table of Latitude and Longitude of Places 3 
XXXIX. Table of Variation, obſerved from 1766 to 1769 248 
XL. Table for finding the Time of High-Water on new 
Principles . . 349 


. 


P. 1. Of the Table of Logarithms, for Log. of 100, inſtead 
of 2.9000000 read 2.0000000. | 
P. 136. Half-elapſed Time of 3o', Log. ſhould be 0.88430, 
P. 100. Sine 25% 8” ſhould be 6590246. 
P. 145. The Nat. Coſec, from oo of to oe go!, is placed one 
Line too high. It ſhould have been printed thus: 

Nat. 
Coſec. | 
Infinite oſo 
3437+7159 
343-77|50| 
171.8940 
114.59 
85.940020 
68.7570 


p. 267. Sun's Declinauvu, ine 8th of February, 


At DONNE's ACADEMY;* BRIS T OL, 


| ; ARE TAUGH T | | 
WRITING, Arithmetic, Bookkeeping, Navigation, and 
Geography, with the Uſe of the Glahes, &c, Alſo the Ele. 
ments of Algebra, Aſtronomy, Conics, Decimals, Dialling, 
Fluxions, Fortification, Gauging, Geometry, Gunnery, Hy- 
draulics, Hydroſtatics, Levelling, Mechanics, Menſuration, 
Optics, Pneumatics, Surveying, Trigonometry plane and 
ſpetical, Ke. —Alſo Engliſh, Latin, Greek, &c. 


In the Park, near St. Michael's Church. 


bi 
= 


1 
% 
” 
- 4 = — 
. 
= . 
* 


Boots, Maps, Inſtruments, Sc. by B. Donne. 


Ss | 1. 8. d. 

x The Accountant — — — Price © 4 © 

2 Geometrician, with Trigonometry — — o© 6 o 

3 The Britiſh Mariner's Aſſiſtant, N 40 Tables SS 

4 The Navigation-Scale improved . — == 0 5 0 

5 The Variation and Tide Inſtrument — — © 2 6 

6 Lunar and Tide Inſtrument — 3 
7 Panorganon and Analemma, for ſolving Problems of the C Globes 

Price of both — — — o 10 6 

8 Nautical Protractor — — — o o 6 

Nautical Pocket-piece — — — 0 o 6 

10 Sinical Quadrant — — — oO I © 

11 Plan of Briſtol — — o 1 6 

12 Large Map, eleven Miles round Briſtol, in Sheets o 10 6 

Ditto on Cloth, with Rollers — — — 016 6 

13 Reduced ditto ; plain 4s, coloured — 16380 
14 Map of the Weſtern Circuit of England, containing the C Counties 
of Hants, Wilts, Dorſet, Somerſet, Devon, and Cornwall, 

in Sheets —— — — — x 1 © 

| Ditto on Cloth with Rollers — 9 © 

15 Charts of the Weſtern Ocean, plain 28. 6d. aka & 3 6 


C The above are ſold at the Academy; but the Map of the County of De- 
yon, which obtained the Premium of 1001, of the Society of Arts, at Exeter. 


\ 


N. B. Sinee the Author's leaving his native Town of Bideford, and fince 

writing the Preface to this Volume, by the Advice of his Friends, he has ad- 

ded the final e.to his Name, as antiently written, This it is neceſſary to hint, 
as he had publiſhed ſeveral Things before without the e final, 


