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HE following Pa ages, which 
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ment, are not inten 40 ey 
for thoſe who make, OE” 
nomy their principal Stoch, = 

but to teach ſuch as do not, fo much of 

it as is neceſſary in e aud its 

Companion, Hiſtory. to give them 

regular Series of Time, Fc ole Length 3 

ſe” the Julian Period, thereby to diſtige =o i 

guiſh each Year, and apply to it *7 wy 2 

its Chrondlogical Chatacters. 5 A 


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by letting them gain their Point, (tho 
rudely,) and thereby encourage them to 

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T | , be & * P . . . 


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| 1 ve I all Al gebraical Con- 

traction, thinking it would be going a- 
bout to ſolve a leſs Difficulty by a great- 
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® 18 
3 - 


to the Age of Life theſe Tables are in- 
tended for, 5 * an Introduction 


: 'M Y - ah ate not ekt 5 
public to gratify a laudable Ambition W 6 
of being in any Degree ſerviceable to the 

World; and if the following Tables help! 
| to clear up any dark Point in Hiſtory; 

| to excite any one to make a Progreſs in 

Aſtronomy or Chronology ; or to fill up 

= nat vacant Hours of our Youths, wiſh : 


ſome 


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co TENTS 


_ 


U 


2 
*. 


3 f . 
NF ths Julian Period: and Julian | 12 
; Year. * eat> TOE TT. 
of the Cycle of the Sah, with the 
- Dominical Letter. þ 
of the Golden Number or 8 ef | 
the Moog, with the Epact, 
Of the Roman Indiction, _ 
To find the Cycle of the Sun, and 
the Dominica Letters. 
To find the Golden Number, and | 
the Epact. . 13 
To find the Roman mt de 
The Cycle of the Sun, the Golden 
Number, and the Roman Indic- 
tion being known to find the cor- 
| 9 Vear of the Jan Te 


3 
— 


n cans T.E N 5 


l 7 : bee * r 
of the: Calendar. - VT RBI 1! A, "21S" 
TheUſc of the te el EU SY eg 
To find Eaſter according whe r 

ble that our Church r 0 
To find the Moveable F eaſts. 26 
To find Leap Year. 1291 29 
Of the Anticipation, or going tack.) oth 

of the Equinones. "Us. * 4 
To find the Time of e 

trance into the Vernal Equinox. oY 
Of the Gregorian Account, or New- . 

Stile. | 43) * 
To find the Gregorian Pominical 
= ”  ; 

Of the Defe& in the EpaR. 4 10 
To find the Moon's Age at any 

Time in the Julian Period. 51 © 
Of the Times of obſerving public 9 

Feaſts, particularly Eaſter. 97 ; 


To find the Paſchal Full Moon, aud 1 a 
true Time of Eaſter. $8 6. 


Of Eclipſes.. 85 * 
To find the Eclipſe by” the Chal- 2 1 
dean Saros. | 86 þ 


To find the Eclipſes in the Julian LES > 


Period by the mean Motion of 1 15 


1710 : | | To FE 


= 


. . 2 n ; = 8 
kl 8 : The. CON T.E N.T . #3 


To find the e 
of the Solſtices, 5 


” äqœà±œEä—ͤ OW” Oo Fe WITS EEE —An, 


22 


wry 


Equinox for any Vear 
in the Julian Period. i 1 2 b | 
Explanation of the I Years ready As 


25 


— 
— 
. 


—äͤ ñ ́ A — 5a 
—— Fw -_ _ 2 
— 2 


—— 


— —— — 
———̃——— EEE Eg 


——— 


F- 
» 
C1 
$ 
7. 
> 
Re 


* 


— 


— — pw — — 
* 
* — 


ö and by, bim order d to 


. ä 5 ; 4s | ; 
OFTHE 
7 9 4 Ba 12 . ff 


$46 1.35 — 


AND 


* 8 4 1 10 
Fr e ee ee nen 
$1720 5: $153 m7 1 3:4 $30" n enn "x 
* f 0 | 4 


; 7Y 1 4 
fi if. 1 7 i 
| . 
C ST | SORES. AAP - 4 B- 
TOR. - - 72 
11 2 TH as. 14 01" "$3 ud 95 192 IX $* he N 


1 Hh Tables are: ted ak e Jullak 

Period of Time, (invented by Sca/iger) 10 Sl 

becauſe it is compoſed of Jallan Vea. 
„ uti Year conliſts of 365 Days, 6 Hours; th 


odd Hours added together amount every 4th Year to 


Day, for which LY Years 8 are each 
compos'd of 369 Days, dnd the th of 0 Days. 

This Form of Years was firſt 8 Tein Ceſar, 
"from whom tis called gs ian, 47 V. fore/ Chrilf, 

obſery!d e — the whole 

Noman Empire. Britain, being then a oman Province, 
received this Account, which it has ever fince kept, and 
is commonly call'd Y She. or 

The. Julian Period conlilts of 798 oof thele .. 
riſing from the Multiplication of 3 accepted 8 
which are ſtill us d. Theſe are the Cycle of the Sun, 28 
multiply'd by the Golden Number, or Cycle of the Moon 
19, gives 532, or the Victorian Period ; which multiply'd 


40 I. Ay t XR | A | 'by 


a a — — „ * . — a 7 — N << 3 
2 of . 1 * « y p * 2-2 p PSI. ES +4 d L * 7 . 
6 * 4 © Oath - W * x k 7 y F 
o- * 6 : d * 3 1 5 bo - n EX - l | 
* B 1 - _ : N by E 
— ws 3 A * - - 
"I; ” 1 4 ©. * 
Y ” 
* : pe = - 
8 * i 
—_— - 4 . 
0 — 9 ; 
2 8 4 ** * — 
* 8 £ 
0 > 

A 

i 

y 

- 5 « 

R k 


Vas inthe Jl 


of the . Fe 
9 ; a n 0 
— ka * a *. p þ \ * 
W 4.4 C 1 9 4 


a * 


— reed” 
K Roman Indiction 


as i 
4 * 3 * - * - — 2 * 
| | ” 
N = 4 . * o Y 
a 
1 


. | Jalian Period 
This Period was 5 Standard of 
Time, and meaſure from one Epocha to another. The 
Beginning of Which, that is when the Cycle of the Sun 
was 1, the Golden Number 1, and the Roman IndiQtion 
1, was ſuppos d before the Creation of the World, ac- 
cording to Archbiſhop Uber, 710 Years, before the vul- 


Birch of Chriſt 4713 Years; fo that adding 47 

Rin of en 6725 Years "ay ty of the 
Julian Period at any Time, and from 22 given Vear in 
the Julias Period * 471³, the Remainder ſhews 
+ ear of Chriſt. - 


* 


EXAMPLE. ki 


| . 1 | 


Ver of our Lord N 89 | 
_ Add | 4713 


* — 


8 "Far of "te Julie Period ee 3 N 


* 1 
14 
8 * £785. 4 14 : I 
: 
#%. I& « + : * \ ” # 4 181 


* Lig 


What Vear of our 'Lord was 6 47146 Yew inet? 


Greeks. 


(3). 


ui 1 je” 


BXAMPLE U. rag WY 


| 


* 


Julian Period ? 
Vet of the Julian Period | I 
LO Subſtrat 9 F 5 7 55 U 
3 ; "911 . 4 ->tis / = 
Yer of cmi pe” M7 3 


Tube Remainder is one, which ſhews you that the 


Sat Year of the Julian Period was the firſt Year of 


EXAMPLE UI. 


What Year of the Julian Period wat that, vhs val 
8 N the Ne * 8 Taue bels 


"ny 2 * þ 1 82 


hn oe 2 . 


EXAMPLE. 


bk ed how Years | 8 bnd 9: the 
e ear of if ths Nane, Period 39382 - 

Fit — of Chriſt was the Year 1 

of the; Jubas Period. ö 1 4714, 

From which take © 3958, 


-Years before con EY ks - 2 
I. was. the Var he Opnp ne-. 


. f 
1 1 o * 9 > ww w $273 . 2 8 423 „ FY 


. EXAMPLE 


—  — —ﬀ 


= * being 


Wy, a 
What Year of che n Pitiol Win te Year of our 


+ 3; LES Lord. 2000, be 206 B60; WY 
2 Nee : ran 2000 
_ Add | Seis warts! 493 1 4743 
* —— 
Yaarof the Ja Pei ſought 6713 
SYN er 
7 — mr 


.. Of the Cycle les which conſtitute this Period, 


CERES ION, with the 
DomaNnicar. LETTERS, gs 


k cyele bf the Sun is b 0 070 Fallen 
Years, caus'd by the ſo often changing the Domi- 
© $ day Letters. The  Dominical Letters, or 
Mak ne of the Vear, are as „ 


8 


Ade Sunday is = 1 — of the Year its 4. 
1 en Sunday is the ſec Nen 
Sunday 34 Day of he Tear * *c 
__ Sunday 4th Day of the\'Year | "Ih 
Sunday 5th Day of the Year . 
Sunday Gth Day of the Ver F. 
Sunday 7th Day of the Year G. 


80 when the Dominieal Letter is G. Vundby is the bil 


Day of the TR 1950 of Courſe the Fi muſt be Mon- 

= * . 

; Monday. Toe.” Wed. Thus, Pri. Set. Sunday 
„ 

. sch oth 4th 3d 2d A. 


The Year, conſiſting of 365 Days, which divided by 7, 
te Number of Days in a Week, makes a Remainder 
vf one. This changer the Dominical Letters'7 Times, 
Then to every 4th which is called Leap Yeat, a 
added for the 6 Hour, which *. 
£4 8 Tear 


Ew Gm uo = ata - 


a 
k 4 


— 


fe 


B Sn 


we Dominical —— Look in Table I. for 22, and 


Found to ſet out nearly t 


3 Ids. tary remains 11 Days, which makes the Moon = 
the 


WY 


Vear accounted more than 36s Dann, eutviche;Altera- 


tion of the 7 Dominiral | Letters 4 Times, and that 
makes 28, the Number of Years in the Solar Cycle as 
may be ſcen in Table I. with their -Dominical Letters 


in their proper Order. 
** i» then Leap 


When there are 2 Dominical Letters it 
Year, the firſt of which is the Domi Letter for 


e. and the other for ths rel of the 
| EXAMPLE ., ee | 
of the Sun 22. Sb 


. 


La it you have A which is the Dominical'Lener 


1 * — 


. 


—— 


0 of the Golden 7 r Cycle of the 
Moc, with W PACT. 


TX Golden Number is « Revolution of 19 Years 


after-which e oh. 
ogether again. 

invented by Meto, an n- : 
Metonic 'Cycle. The Rpact is the :Difference :betwixt 
the Solar and Lonar Years; for as the Solar Van con- 


| fiſts of 365 Days, and 12 Lunar Months, reckoning 


anda Half, make only 


their mean Quantity at 29 Day 


5 dog 1 Vetinn ſs o the Year. In 
onth than it was at ear. 
Sass, l. call'd the Epack r 


30, they caſt 30 off for a Month, 3 


mainder the EpaR, as may be ſeen in Table . 


| EXAMPLE vn. LED. 
| The Golden » Number given b 2, to find it's correls 


A 


* 


ke; o 06). 
Link nb e er de 
2 which Gs HORS that Golden Number: | | 


A ie 1301 171 


. _ "the i Roman Indifion. 1 

an it Menn dien ie Sytem of is] OY 
Years, by ya; the Time of certain Payments 
were known to the en As they recur in Order 
throbghout the Julian Period, and have no other Mark 
ithan cheir. 5 oe eber nnn 
nation. 


— — — ka a O00 > Tritt #7 n D r K or 
To God the. Cyele of the. 8 U N, and the 
T. 1 2 3 
"Domincal eter. i. 
a 4 I, 22 * ; 1. 6 115 | — 
4 
2. 12 U L — 7 
* 1 21 . 173 . N : ö 1 


vip 2 — the: Julian Period -by 28, 
the Number of Years in the Solar Cycle) and the 
inder will be the Cycle of the Sun. —If nothing 
remains, the Cycle of the Sun is then 28, againſt which 
in the fiſt Table yon. eee unic 


| e Au 22 1 4 23:4 
VIII. Rn 


EXAM: PLE 

wy What i is. the as San ind Dominica Lett, 

For the Year of) Chriſt 1749. 

bud raf & the Julian Period it t adding 

4713. 3. | 1 FLY 75 11 * 87 EF 
Y D K we dy: wr fn 1749. -.. 
Year £ Chriſt: * q A 1. 45 " " 


| Correſponding Ver © oft che Jules Period 6462, | 
oy” 


£ 
[ 


| 
: 
eee 


e 1 Divide 


o o % 
—— —— 1 * —— — 1 + 2» 
W 2 — D —— 
— 9 „„ 
-- 


YA TA 


„ -””” 


9 


Divide the Year of the Jullin/Petiod by 12. 4 3h; 
07 N41 e Mareen 2 6462 (2 on T 
+ 2550 $7505 id wel 5 2 
tie er n rd tf LEE 1 1964 1. oP 
=. | F 3 714 
IT 86 0 Pn : 
ENS 
Cydle of the sun | 22 | 


The Quotient ſhews- you be has been 230 Revolu- 
tions of the Solar Cycle fince the Commencement of the 
Julian Period, and the Remainder points out the Cycle 
of the Sun to be 22. n is in Table firſt, is 
the Dominical Letter A. 

327d 


BY EXAMPLE. OE - 


What: were the Cycle of the Silt cath Decllijct * 
Ln for the Vear of _ Julian Period 4713; 


, Divide by a © | 2804733 (168 


3 2 1 
2 L reve gut S090 | 1215 
2 * 934 . 1.66 5 
- OO —— = 21 4 je 2 
| F : | 10. 191 i nn 5 11 2 
x 7 8 * >.> oy 168 82 4 1 
TERS 1 noi. 1 it 2-465 
> 259 41% thy A 
"PO EEE 224 
e a 37; 1+ JL nd 4 a? 8 le if 
Cycle of the Sun = 4 8 
4120 a 047 
The Remainder i is ſbews the einer the 


Sun, and in the Firſt Od hes ns 8 Cyele you 
will find the Dominical Letters to | 
This being the Year before- een MAL you | 
may know any Years fince by: adding this Cycle g to 
the given Year of Chriſt ; and: dividing by 1 the — 
mainder i is the Cycle of appr aca IR 


. 


F 


a — — 
4 
4 


7 


ENTITY 


33 Ar LE: n 
ile of the Sap 5 requir d for the Year of 


| Chit 1749. ; 

= To the Year given, add the Cycle that was chr 

1 his Birth.  _. 

= | 
| 4 a | - 
, 655 

7 , "jd 
| AE 


En OO TANG 
| 4 Dividing by 28; ann de out the Cycle 


the San to de 24, overagainſt which in Table Firſt 
s the Dominical Letter A, e ſame as SO vil, 


g | EXAMPLE XI. 4 ; 
i The Cycle of the Sun and Dominical ters are re- 
4 gir'd for the Year that Julia: Ce/ar reform'd the Calen- 
il | dar, being 45 Years. before Chriſt. 
4 Fuad the Year of the Julian Period, - 
= Pirſt Year of Chriſt was the Year ; t 
of the Julias Period, 4714 
From which take. | 1 
Year of the Julien Period fought 2859 : 


- ” b 


i A the een! the Jules as 7 


x"... 


7 a 


ing 776 Years before Chriſt. 


ter by Table I. is F. 


rv p $ * : 5 
44 * 2 * 1 : : #8 4 ov } „ 1 * * 3+ Wm ow - . 
£3 
u | ; 303}: 
4s ® 3 — * 
„ — . — 
K : , P * * 7 
21 OF s * * : 
8 RE” ©) & * * * 5 * 
" — . 


. 


In Table it even with the Cycle of che Sun 21 une the 
Dominical L 


Letters C B. 2 * 1 thts "17 


' | 3 
rn 2 E X AM P. L. —— — 4 ebe Ss 8 
1 


Pants ce ww + * 4% ͤ ͤ—%——ͤ pœ π % r 


The Cycle of the Sun and Dominical Letters are re- 
quired for the Year that the N commenc d, be · 


Find the Vear of the Jade Period. 
Firſt Vear of Chriſt was the Vear 


IX From which take | wt; „ Tr, | 
eee Yeit of the Julien Period /3988 
"_ Divide the Year of the Tallen P eriod. by 
| E 400 N e * 
YN FX » 1 * 4 
28 
* 7 . n 7 0 14 
Se | 13.7 7449 Gl 1 
112 * 


ie eee une : 22:13 butt - 
C ycle of:the Sun 18 g Ain ? 19 45% 
The Cycle of the Suns a, Wed tho Tom 


"""EXAMP LK x" 
The Cyele of the Sun and Dominical Ll are re- 
quir' for the fr Year of Crit, bejag the Year of the 
Erl 4 4 * en 
5 Divide the Free Jaller Period by 20. 


NN eee 


Fr 


" * * , id * * & ws - * 
8 W 7 2 bs 9 , 4 —_ 1 * 2 Sx - N 
1 + f SF : a 8 . c 
: * | 12 yp, ® g ? $i» + Fad 224 13£4 


( 
e, erg: Bux i 10, and the Dominical Let 
n 


ere NUMBER 
| and EP ACT. | 


R WER... 
D IDE the given Year of the Miene by 
K 


(the Qgantity of Vears in the Golden Num 
be Remainder will be the Golden Number; 44 | 


thing remains the Golden.Number is then ainſt 
which i Fable IT. nee“ TO 


BXAMPLE XIV. 2 

n requir d for the Ve | 
| of our Lee i7do. Lb ns dro $i 
"Find the Year of the Fulia Period. 


” Year of Chriſt 83 x £4 me # 


le J 2d + 
at Chriſt's. Birth Kd ens N 
ve vt the Jillay Period bagbt 6462 | I * 
| Dird the Year.of the Julian renal by 1 19. | 
| NP 1 % | Lf 


1 
The Remainder i is2, Ley, is the Golden . | 
quired; over-againſt-this Golden my in Table a the 


; r 22. 
4 you EXAMPLE 


— 


Ts 


SXAMPLE, xy 


he Golden Number and E are requir'd ſor che U | 
* e aps regal 4714. « Hy var 


„„ 947M. 


o? - 


| Golden Nombige I 
_ Dividing the V of the 8 Period by 19, the 
Remainder is one, Which is the Golden N umber ſought, 


and the EpaQt accordin - Table II, is 11. | 
The Golden Number found 8 be 1, bk Yb 


fore Chriſt, add 1 to og fince,. and divide the 
9 by 19. the Remainder Lives you the um N umber, 


wur ee . 
The' S Nywder is ſought for the Yar of our 
Lord 1937. 


Add 1 and divide by 19. 


rept our Lord youu 1937 
Add 15 Krane 


T3 
* 


. 1901938) 102 


Golden Wanted 19 
The Remainder is * 
| then be 19, and the Epact 


b Number muſt f 
by EX A *r E 


- #XAMpPEE n 
The Golden Number i regol d for the Year bel 2 
Chriſt 776. 815 (> 9 * "a 1 It: 

© Firſt Year of Chriſt | © Ws ; 471 
Years before Chriſt oY F 776 


- Year of the Julian Period” 3 3938 


Divide the Year of the 16115 Period by 19. 
eee — 


N \ «+ 1 * * as 4a 
: | FETS F 13 N 1 * 
a : 4 #3 % * FP 288 
* 8 a * 7 I 3 *r þ 2 
* * a 2 7 ” 


CES 4 ? 14 * 
„ * "283 $37.2. 
221 10. 1. & tel 9 7 | ( as? £ #4103 4 13811 1 


ar Number (thay Wk Prot ow to 1 


$11.41 BXAMPLE XVII. e f 
1 


- 


The Golden Number ; is requir'd for the firſt Year of 
Our Lord eln A * 4 

47 Year. of-0 our Lord | 1 27 
"Years of the Juli eriod ela bo at 5 

Chriſt's Birth. by bn F 1 471 
. en 
Divide the Vear of the mars AN Period by 19. 
m— 3:pil; | 19047448 8 


38 


4 
* 4 4 75 BB? 1 * . #; - 
. F ag Hr ug k 7 * 47 * —_ * & & * 
[4 $44 4 15 4 a « > $4 ; 87. 12 


Ls 'S len Number * 


mo — ee - N N 3 | 3 
* Tt 9 Y FI © 7 
* 8 9 — vt ”— 7 

SY YT. v _ o 

Wh wes hs 3 .. 7 * A , PETS + 6 

A 4 % n = l » E 
e 2 | 
N 


(en 


N t 5 a. 
2 * _ _ 
eee GER hd : 
. 


To find the Ro IND 1CT en. 


80 RULE. 
IVIDE the given Year of the Julian Period a by 
I5, and the Remainder is the Roman Indiction ; 
nothing remains the Roman Indiction is then * 8 

IX ANI I 


What is the Remey Indiftion ori Ye of Lor 


1749. - | | 
Add 471g to belag it into the Julias Period. e Ma 
Tear of Cr. „ 
Add * | 4713 
Year of the Julian Period- 6462 
f Divide the Year of the Julian Period by 1 5. | 
15)6462{430 | 
** , 45 6 | | 
Roman Indifion © 3 e 
f EXAMPLE : * 
The Roman Indietion is requir'd for ths Year befor | 
Chriſt 45. Fo 
Find-the Year of 4. Julian Period 1 
Firſt Year of Chriſt 49 - 
From which take W=——= 
+ I Year of the Julian Periad r 
'To vo „ | Divide 


5 1 | | 
Divide the Year of the dtn * 5 
= eee 189466901 . 1 


e 7 on. 
EXAMPLE XXI. i 


The 1 IndiQion is ſought for the Year of ths 
lis Period 4713. 
55 | : CLOS 


$7: 


| BRAMPLE XXII. f 


As the Reman Iodictibn es if Exam . 
20 be 3, the Year before heif, it h requir'd for the 
Fear of Chriſt 1749. 


© © Year of our Lord | FAT 
Uh Ronan teten dap nt at his + Bi IF 


£3; FE 


1 


Divide «hn Addn 15 | 
| 15) 275: 1752 (1 16 


e 
> i. 4 
; 5 
= 
- 


4 ; 3 5 
. * * 1 
* 1 1 . F 
on 9 
1 * Fs £ 


— Roman TadiRtion ” bans 4 "al 
This is further prov'd by Example xx taken from 
0 Ns Julian Period, 


BXAMPLE. XXI. | 
The Roman Indiction b fr ts Yar af th 


* 
s- _ 
— 


ulian Period 4714. 
B — Year by 15. e 
5 hett 1 10 
45 | | 
21 | N 
15 | | 
64 - ! 
| Roman Indiftion 15 4 2 ice . 
F By the foregoing Examples the firſt Year. of Chriſt be - 


ing the 4714th Year of the Julian Period, had the fol- 
| lowing | | ö 
Cyele of — gun 10 - Dominical Letter 83. 
Golden Number 2. Roman Indiction 4. 
It's pity but the Uſe of theſe Cycles with the Julian 
Period, had been known to former iſtorians, for if they 


dad mark'd the Year with the 3 Cycles, it would bave de. 


termin'd the Time paſt Diſpute, for no 2 Years ia the 


«lian Period can have the ſame 3 Cycles. 
de / . | Tho 


— e n — —ſſ _ 1 
The Cycle of the Sun, the Golden Number, 
and the Roman Indiction being known, 
to find the eee Year in che 
— Period. 


RU L k. 


AKE out thit Sum from Table IIT. that is even 
with the Number of the Cycle of the San, as 
meg that even with the Golden Number; add theſe 
ether, and divide the Product by 15, the inder 
ſu from . the given Indiction ( I5 to the gi- 
ven Indiction if the Subſtraction can't be done without) 
Then take chat Sum in che Table under the Title Indie- 
tion, that is even with the Number of this laſt Remain- 
_ _— it to the 2 Bums took out before, and the 
ives you the Year of the Julias Period ſought. 
If fark Km exceeds 7980, then 7980 is to be ſubſtra 
1 Remainder will be the Year of the 
— ay IS 


"BXAMPLE XXIV. 


| The Cycleofths fon g iven is 20. Golden Number 19. 
Fer. Indiction 10. > find that Year in the N 
Exen with the Cycle the Gun Number 20 

in the Tate * * 


Even wich the Golden Number 19 in the 
mird Column is ** 
— 


Figs : N ; rs 1 ei 


5 
| 
| 
vide 


' 
A 


Di 


" 
W oy ern „ Py dot Rag 18; r. Aer a 


- 


PPP 


(nm). 


Divide thi Sum wn. 


4 delle RY 


* 


8 
The Remainder you'll find 8, which eat). 


28 


P\ 


the Roman Indiction given, there remains 2 


. Roman IndiQtion given 
Remainder ſubſtract 


A vat — 


5 


Indiction you find 


— 


Bed wich this Minas 2, in the Column 


. 4 
4 
4 - — 
/ * 
* 
py 


g #- 


10 
1 
le * 


— 1 


2. 


Which add the 2 Sus took out before * 1 


| Year of the phi Period fog | 


4 


5. 


«4,4 22 4 


5 1 eee e 


— | 3 . | 6355 
3 . rr 7 # 
"= 70 T7 "i 
hs — To Hans ws th 1 
Golden } Roman 1% 1116 
Number 9  IndiQtion an 
| C 7 28 — 5 
4 'B X A M p L E XXV. 


What Year of Chriſt as the following Cycles, Cycle 
of the Sun 23. Golden Number 3. Roman Indiction 1 7. 


Even with the Cycle of the Sun 23, is 
Even "ay the Golden Numbes 3 1 


«4 „ 


2 — 


1 

364 FE 
— 
G12 P 


Bron with this laſt Remainder 2 in the co. 
lumn Indiction is | 13 
2 Sum took out beſore N ec * | 


Year of the Julian Period wes 6463 


Yau of the Julian Period found, | ; 
den o at Chriſt's eee 4713 


c | Year of our Lord requir'd AS 1750. 


Tus next Ernie has all * Variety 3 Rule can | have, 
BXAMPLE XXVII. 

"The Year of the Jaller Period is requir'd for the 

Cycle of the Sun 16, Golden Numbor 16. Roman In- 

2 Bt 

Even with the Cycle of the San 16 is 380 
Even with the Golden Number 16 is 168 

e ee en, 4 <8... 


[Divide this Sum by us. 2 
4 e e- l lt 


© _ * * 
. ot. £ tobe kw . 5 * 5 . 


3 a henne i.cac _ 


2 


Given Iadiction : >. 
A whole Cycle a . 77 
| | : 1 | — » "0 
| EY Tr We 1 1 16 8 
Remainder ſubſtract . 
Laſt Remainder ONO NIE 208 
Nen with the laſt Remainder 8is - * 9448” © 
The 2 Sums took out before — 
| 7 , „ ‚— . 
$2 = | 7996 


given, a whole Cycle muſt be added to the given Indie- 


tion, to make the Subſtraction poſſible. 


This being more than the Julian, Period, ſubltract the 
Julian Period from it. . 4 ele 


Pe, | e 7 an - 
Julias Period ſubltrat © 2. ep” 
Year of the Julias Period ſougt 16 | 
—_ r RT 7 0 > 175 40 ORE 
= x pgs | —̃ — — — 


- Th . =. ITT Wet} PEI * 
Of th N DAR a 
Of the CAL EN DAR. 


T B is a complete Julian Year with it's 
Diviſions of Months, Weeks, Days, remarkable 


Times, public Feaſts, c. The Calendar took it's Name 
from the Romans calling -the firſt Day of the Month the 


Kalends of that Month. I have choſe Smart's Calendar, 


as it's fitted for any Year in the Julian Period. The 


in the laſt Column are the remarkable Days, fixed Feaſts, 


with the Tine of Sug's riog ier this: , OH Wie: 
734: 1 3 ; N he 


Months, with their Number of Days, are ſet down in their 
your Order; in each Month are 9 Columns, 7 of which 

ave a Dominical Letter at the Top, and the Days of 
the Week, down the Columus anſwering to thoſe Domini- 
cal Letters; in the 8th Column are the Days of the Month 


b » * 
8 * — , md 
= * 

1 ik = 

- . * 

, "7 = 4 
: * * = 
* = - - * ® 1 
9 . . * a _ 
- „ 7 þ * . - 
X . # of * 
— ; S „ 


As this Remainder is more than the Roman Indiction 


1 


4 
C — 


. * 


> 4 ae Ld 
OS __ 
6 — : 4. — * 
7 — 
VA 3 
: , I 
* « þ 
R 6+ © „ VP 
* — 
W * 
. « * — 
» - 4 
= = * 2 . 7 
5 2 £ 5 | Ka. 
14 — 4 0 
— * « by 
; 5 * : ; 2 
: 2 7 1 * N SD, „ - ? * 
. FE: 
5, * 8 8 71 . 4 
4 * N 5 5 * * 
* * s * * 1 1 2 2 At 8 a. | _— P 
„ 3 2 'T * — IT% a a — 
——— — — —___— 
* * "+ * : „ 


* Uſe of the CALENDAR.” 


HE great Uſe of this Calendar is, that we can apply | 
| toit all chronological Characters, at all Times; for 
by finding the Dominica! Letter for any Year, and follow- 
ing thoſe Columns in the Calendar chat hath the ſame 
Dominica) Letter at the Top, you will have the Day of 
— Day of the Week eden that FRE — 


5 R XAML ER XXVII. 


What Da of the Werk was the firſt of anzery in the * 
Year of Ch 300. * 

Find the Vear of the Jullan Period. | OTROS 

Year of our Lord given . | 300 

| Years of the Jules Period clape 7 


a at - 
Chriſt's Birth "add, = 18 


— — 


Year of the Julian Period. 7 5088. 


Find . of ine Sun by dividing the rar of the 1 
| „„ EODEGH 24 "+a 


* 
= 
- * > * — | : 
7 F C 4 3-4 + Ht J } % 4 BE: 1 
” . * by 4 * * 1 
; i 
4 \ 
6 n * 5 8 1 9 " + . — K 4 2 c F ; "5 = N 7 * 
r 2 #3 * x PR K 1 ; { » 101 
we * * 0 — 
, — y - % 6 4 » 
- f : 5 1 * 0 ＋ ; — 1 
* * "© = E275 1 255 -® 4+ * 4 $5 F.4 , 
9 3 * - 
« F a 3 
— . 7 2 - * * i — « 5 "2 1 3 » 9 ®% * 1 
+ 4 . * " . 5 * a . . * ' g * . # + 
= 


ä ; l 
Oe. of the Sun | I T7 
The . ycle of the tes, and the Bominical Lot: 
a ing to Table I. are G. F. : 
The firſt of theſe Dominica! Letters ves for 5 
een, the other for ths ret of the Year, | 


| Racgr the Calondar, ES as of Ra bs 9 

the Column G you'll find m for Monday to be oven with 

the firſt; the firſt of February in the Column G, you'll | 
find th for Thurſday. 

Enter March with P, and even with the Firſt you'll find 
fr for Friday. Even with the-firlt of April * find m 
* Monday. Even with the firſt of May in the 2 | 

9 . w for Wednelday, Oe. 4 | | 


EXAMPLE XXVIIL 


| What Day of the Week” was the 10th of June, in | 

the Year Find te Oyci of Period 4750. TH” 
. Ts 

394750069 .- . 


195 ws 

1 WR” 
, n 2 ape 270 | | 4 ; | 5 : r 7. yt 
| „ A 

cycle of the a op: 3% 

| Orer-againt the Cycle of the Ba 18 in he dnt Table | 
is the Dominical Letter F. 5 
Look in the Calendar for the Month Jour, and even 
with the 10th in the Column F, A 


eder, the Day requir d. | 
E x AMPLE. XXIX. 


What Day of the Month was the firſt 3 after the J 
oth of April in the Year of aur Lord 1666. WENT 
Find the Vear of the Jur1an Period. | | 
e os ons 8 1666 
ears of the JULIA elaps 
at Chriſt's Birtk 1 [ 473 


Yearof the Jok1an Ped cog "7 TE . 


THT, 


* 


* 
f | | . 
„ 3 9 7 
* £ VER DA EE . a - * 1 5 
* 3 > Wi , . 


N * 
L 4 F, * * 4 I 4 
- 1 FT So : ö * : 
2 5 7 
kanns 4528, by 4 7 | 
„ FTIR - 3 4 4 * 
= , . 
: * * 
R 8 
— 


8 7 


| Find , Sun by U 18 
488794227 3 


cCyele of the Sunn 2 
. W 


Letter by Table if 1 U. 


_ fo 10th, the 


in the Year of our Lord 2200. 


a +. 


is — Fear of the Ne be 


1 r the Month of Apri il, and in 
Ss u'll find tu for Tueſday, K A 
unday W Sh. 


E X A MPL E xXx. 
\ Thx Dap of che Week il Critay Day bee 


; Find the Year of the Julian Period. | 
Tur of our Lord tir | 2200 


- Years of the __— elaps'd 3 FR . : 


at Chriſt's Birth 
— 


| 6913 


33 Hate ar On. 


The Solar Cycle 
Table the 1ſt are E, D. 


ag) 


— 


being 25, the Dominical Letters by 


Enter the Month December in Fas „ with D, and 


a * 5 1 


Solar 


you'll find fr. for Friday to be even with the 25th, which . 
will be Chriſtmas Day that Year. | 


. 


EXAMPLE XXXI. 


28047121168 


ons 

28 
— 
168 

— —ê 

ene 
224 


Cycle 8 


Wbat Day of the Month was the firſt Sunday; in * 
in che Yer! of the Julias Period Le dan | 
Find the Cycle of the 


In Table iſt over-againſt 8, is the Dominical Liter 
E, entering March in the Calendar in the Column E, you'll | 
find the firſt 8 for — to be even wich the f d Day 
of the Mouth, | ö Ts 


— 


— 


= 
I * 1 2 4 1 
. * 11 1 


„2e _ 


— — 


8 


To find EAS T ER, es to the To. 
ble that our Church Follows, _ 


R U L B. 


1 N D the Golden Nembee, As likewtſe os Domini- - 
nical Letter z then look in Table 4th for the Domi- 


nical Letter, and in that Column, even with the Golden 


Number, you have the Time of Eafter Da ſought. -—- --- 
gamer "mw Dominica Los the Jat- | 


Note : 
| vr 1 1d. 


"BXAMPLE 


= * 1 A — 
1 * 4 * 
* o 
* 4 o % 
n } 
„ : | 
— 1 
ad ? 4 * * * » 4 " 


. * | Y = I 
RT. EXAMPLE Xun. 
5 | 0 ap: that 


© What Tine did Eaſter happen in the Year of Chrit pr 
326, being the Year after the Council of Nice had fettled ic, 


- Find the Year of the 3 1 5 18 
Year of Cid given mu 326 


Yea of the g Peril clpr at yh "48 t _ 
Chriſt's Birth N 1 
Yarofthe Joutan Period 3 5039 92 1 
. E 
Find che 9 of the Sun bs dividing the Year « of = 925 
Julian Periad by 28. n IE. Find 
ff 28)5039}179 | 

+ WE 

— ; 

Ys DID na 5 f 

196 ad 


v3 © 
. Sx 


MY * 8 ** TX. 7 


b 
In Table 1ſt over - againſt the \Cycle of the sun 27 b be * 


Dominical Letter B. 
"Then find the Golden Number by Tony the Year of 
the JU LAY Period by 19. 


: ES eee 1 Tf] 


, 
78 : f 5 : | 
| "4 — - f hi 
\ 2 * : 
| 7 123 
2 


J ' 
1 I ” 4 ; 
4 N 
4 r #7 \ 
A * 4 L — 
. 1 


C 
ti Table 4th for the Dominical- Lees B. and 1. 
that Column even with the Golden Number 4 v0 have 
April the 1 for aber L nas, Year. 19 5 * 


3 
* 


EXAMPLE XXXIII. 


after Sun uire d for the Yall of our Lord 1 12. 
: Ful de rhef Period. l 


5 Veur f Chriſt given BY 4 21749. Fl 1 | = 
, Years" add ns Rs 2 4713 a | ; | 
Year of the JuL1an Period : 56462 
ed] — | 
Find the oe. of we Sun by dir eg the e Juli Pe: * | 
._ - riod by 28. | : 
WY 22 zo. — 
| ? ern + 4 } 
of | 10 | 
'. j \ 
36 
; 84 | 1 
a3 Joc 46977 $4) wotbivih yo. rows: NN dl boi . 
Cycle of the unn. 22 g | | 


In Table 1ſt. even with the Cycle of the Sun 22, i 
be Dominical Letter A. * ak * , 


Find the Golden Number by Sing th Yea of 0 the | 1 
| Julias Period by 19, 


e by FM >; 
7. 
276 
$2102 7 a | 
| ; \ | Lan) colt 


+, 2 


| | In Table IV. in 3 e — even ' with the Gelle 1 
| unber 2, is March the 26th for Eafter Sunday, 


betas 


— Te 


(24) 


EXAMPLE 1 


What Time did Eaſter happen i in the Year of Chriſt 4 
Nt being the Year after the Council of Nice had fettled it. 


Find the Year of the Jalan RS... 
Year of Chriſt given 326 E: 
| Years of the Julian Period ela 4 at 
Chriſt's Birth 1 4713, 
Vear of the Ju LIAN Period 5039 
Find the Cycle of the Sun by dividing the Vear of the | 
Julian Period by 28. 2 Fi 
28050390179 
28 | 
— — | 
223 
196 
279 ” 
Fart b * 55 | ( 
TR . 3 4 |! 
Solar Cycle «i the 
In Table iſt over- A the ede of the Sun 27 isthe Fir 
Dominical Letter B. 


Then find the Golden Number by — the Year of 
= Juan Period by 19. | 


| 19)5939}265 
38 
123 
118 
WEEDS 5 | 99 
THI = 
Salden Number 4 


(25). 
Look in Table 4th for the Dominical Letter B, and im 
that Column even with the Golden Number 4 ry av 
April 11 3d for Eaſter Sunday that Year. 


EXAMPLE XXXIII, 
Faſter Sunda is required for the Year of our Lord 17498, 5 


Fin ear of the Jvrian Period. 
Vear of Chriſt giren 5 1749. 12 
Vears add 2908 
Year of the Jutian Period 6462 


Fi d the cle of the Sun dividin the alias Pez : 
ind the Cy Dom fg 8 7 


er. 30 


cycle of the Sun : dosen 242 e 
In Table 1ſt. even with the * of the Sun 22, 14 
the Dominical Letter A. ; 


Find the Golden Number by al dividing the Year of the 
| Julian Period by 19, 


196482634 


In Table IV. in ho 88 A, even | with the Golds 4 
Number 2, is March the 26th for Eaſter Sunday, 


= To 


To find hs MoveaBLe FEASTS. 
TPO Rs Writ 2 3 85 he 25 
F IND the Time of Faber, and Liked Table of 
ve 


Moveable Feaſts ; at the End of the Calendar vou 
the Time of all the Feaſts which depend upon it. 


EXAMPLE XXIV. 
What Timedid Shrortdo happen inthe Year of Cri 


12317. 
Find the Julian Period. 


Year of Chriſt given 1311 
Years of the Julian Period add 4713 


Correſponding Year of the Jaliex Period 6024 


ind the Cycle of the Sun, by dividi the Year of the 
E Jn Period by my ö 


IS OKE - 88)6024(215 


„ 
= 


Solar Cycle 
The Solar Cycle the Dominica Letter T 
ble 8 5 being 4, by Ta" 


Find 


of April 11th, you find Aſh Wedneſday, which 1s Shrove 
. ous rig Atte - 24th. 


| (a7) 
Find the Golden Number by dividing the Year of the 
TFalian Period by 19. 


109 6024 (317 
1 


* 
19 
134 
133 
Golden Number N 
Enter Table 4th with the Dominical Letter 8 and in 
that Column, even with the Golden Number , you 
have April 11th. for Eaſter Sunday. 
In the Table of Moveable Feaſts, even with Eafter Day 


ps EXAMPLE XXXV. 
What Time will V Bigſunday happen, in the Veur of 
dur Lord 2142. 


| Find the Year way the Jelian Period. 
Tear of Chriſt 2742 
Vears elaps d add 4713 
Year of the Ns Period fought 8855 


Find the Cycle of the San, by dividing the Year of the 
Julian period by 28. 


28)0855(244 


0 20 8 

The Cycle of the Sun being 23, the correſponding Do. 
minical . by Table iſt. 855 6. * 
Find the Galden Number, by dividing the Vear of the 
| Julian period by 19. 
5 — 
- _ 

115 

114 


Solden N umber 15 


Enter Table the 4th, and in tbe. Column G, „ 
the Golden Number 15, you have April. 8th. for Taler 


8 Sunday. 


In hs Table of Moveable Feaſts, even with April 8th, 
. you find I bitſunday, May 27th, the Time UN» - 


EXAMPLE. " XXXVI1.. 
| What Time was Aſh wean, in the Year of 


Chriſt 400. 44411 * . 5 
Find the Vear of the Julian Period, 

' Years of our Lord given 4% 

- Years elaps'd add nie A702. 16 % 

Year of the Julian Period fought g $113 


Find the * of the . by dividing the Year © of the 
28)51 13(182 eh 


28 


* 
18 


Solar Cycle ; I 
: n | 5 The 


The Cyele of the Sun being 17, the correſponding Do- 
minical Letters, by Table it. are A, G. | 
Find the Golden Number, by dividing the Year of the 

Julias Period by 19. | 
19)5113)269 


38 
2 
| 114 * 
. I - 
3 k 177 
in Golden Number he: 
= To find Eaſter, enter Table 4th. with the latter of the 
Dominical Letters G, and even with the Golden Num- 
ber 2, you have April 1ſt. for Faſter Sunday. Fi. 
| In the Table of Moveable Feaſts, 'even with Zafer 
of Sunday of April the iſt. you have Fe 14th for Aſh- 
Wedneſday: But as this was Leap Year, and the Feaſt 
ſought happening in February, by a Note in the Table it 
muſt be one Day later, that is, on February the 15th. 


— — 


the 


— 


— 


To find LEAP YEAR. 
RULE. 


* AK E one from the given Year of the Julian Pe“. 

'F riod, and divide the Reſt by 43 if nothing remains 
it is then Leap Year; if one, *tis the firſt; if two, the 
ſecond ; if three, the third after. 

The Reaſon of ſubſtracting one from the given Year, 

is becauſe the firſt Year of the Julian Period was ſuppos d 
a Leap Year, (and not the firſt after) ſo the ſecond Lea 
Year, was the gth Year of the Julian Period; the thi 
Leap [Year the gth; the fourth Leap Year the 13th 

Vear of the Julian Period. c. 


8 EXAMPLE 


— — * a 


13 


(30) 
EXAMPLE. XXV. 
What Year of Biſſextile, is the Year of the Julias Pe- 


riod 6462. | | | . \ 
Subſtra& one ftom the given Time, and divide by 4. 
Year given 3 6462 \ 
One ſubltract oY 
Divide by 4 _. 4)6461(1| after 


ge „ 

If for any Year of Chriſt, you would know when Leap 
Year happens, it's only dividirg by 4, (for the 1ſt Year 
of Chriſt, was the firſt after Leap Year) and the Remain- 


| «der ſhews you, whether Leap Year, firſt, ſecond, or third 


EXAMPLE XxXXVIII. 


| What Year of Bifſextile, is the Year of Chriſt 1749. 


— 


— 


Divide by 4 9749 ( ift after 


e e eee bom” 
The ſame as the above Example, taken from the Be- 


-ginning of the Julian Period. | 


To make the Diviſion ſnort, you may caſt away the 
Thouſands and Hundreds, and dividing the Reſt by 4, 
the Remainder gives you the Year of Biſſexiile ſought. 


1 K 


nnn 


_— 


" i 


Of the Anticipation, or going back of the 


EQUINOXES. 


HE Julias Year, conſiſting of 365 Pei 6 Hours, 


and the Solar Tropical Year of only 365 Days, 5 


Hours, 48 Minutes, 57 Seconds; which is 11 Minutes, 
3 Seconds, ſhort of the Julian Year: The Sun muſt en- 
er Aries, or the Vernal Equinox, 11 Minutes, 3 Seconds 


nearer 


F 
; : 
£ = : 


Kd 


4 * 1 
* » 


(31) 


nearer January every Year than other; and as the 6 


Hours in the Julian Account are not reckoned every Year, 


but reſerv'd to make up a Day in Leap Year, there ariſes 
| 8 Differences in the Times of the Equinoxes, one 


Year from another. 

For Inſtance ; ſuppoſe the Sun to enter Aries any Year 
on March 1oth, at 6 in the Morning, that Year being 
Leap Year. To the next March 10th, at 6 in the Mor- 


ning, are only 365 Days; and the Solar Year being 5 
Hours, 48 Minutes, 57 Seconds more, the Sun muſt en. 
ter Aries that Year on March the 1oth, - 11 Hours, 48 


ow 3 CY 


Minutes, $7 Seconds; To the next March the 1oth, 11 
4 


Hours, Minutes, 57 Seconds, are only 365 Days; 
that „ N- 5 Hours, 43 Minutes, 57 Seconds 
hort of the Solar Year, the Sun muſt enter Aries on Marc 


ioth, 17 Hours, 37 Minutes, 54 Seconds. 3 
To the next March the roth, "17 Hours, 37 Minutes, 


| $54 Seconds, are only 365 Days; ſo that 5 Hours, 49 Mi- 


nutes, 57 Seconds more muſt be added, to give the Time 
of the Sun's Entrance into Aries, which makes March 
10th, 23 Hours, 26 Minutes, 51 Seconds. 


To the next March 1oth, 23 Hours, 26 Minutes, 51 


| Seconds, as a Day will be added in February for Leap 


Year, will be 366 Days, which is 18 Hours, 11 Minutes, 
3 Seconds more than a Solar Year ; that taken from March 
ith, 23 Hours, 26 Minutes, 51 Seconds, gives March 
10th, 5 Hours, 15 Minutes, 48 Seconds, the ſame Time 
that it enter d Aries the Leap Year before, excepting 44 
Minutes, '1 2 Seconds, for 4 Years Anticipation. . "64 


| By this it appears, that the Equinoxes move forward al · 


= 


: 


4 


< 


16? L 


moſt 6 Hours every common Year in our Account, then 
are thrown back above 18 Hours in Leap Year, which 
makes them recede on the whole, 11 Minutes, 3 Seconds, 
per Annum. 8 e 
e ieee 


* Fa 
Tf 25 Ts + 
> 8 9 * 2 0 
- : * 


"If. 


2 py 
— — — — — nm — — 
2 0 


* TINS » — ä —_—_— 
r 
1 8 


— —— 


To find the Tine of the $1 SU N's Entrance 
into Aries, or the Vernal Equinox, 


f RU L E. 


'\AKE out of Table V. the An 
| many Years as are elapy'd, from Beginning 
of the Julias Period, to the Beginning of the — 
are in. Subſtrad that Sum from the ix, anſwering 
tothe current Year, whether Leap Year, Firſt, Second, or 
T did after, and the Remainder will give you the N umber 

of Days to be reckoned ere. he the firſt of 
From this Sum taking Days for a common, or 60 r 


tion for as 


* a Leap Year, being the du Nanbes of Days from the Be- 
_  ginning of the Year to March) ind the Remainder will 


give 


ters the Ver eee e ROT on 
Vernal Equinox. 
| EXAMPLE xxxIx. 


e ths Varied luino x, 
the firſt Year: of the Reformation of the endar, by 
Juin Cæſar, being 45 Years before Chriſt, 


_ — Find what Year of the Julian Period that was colnci- 
. | 


Fit Year of Chriſt was the Year of the 
Julias Period. . 
From which ſubleract 45 
75 Year of the Julien Period fought 4669 
, — 


Webers to find what Yer of Biſſextile it was, which 
neee to the foregoing Rule, you muſt do by taking 
from the Year of the Ns Period, and Hividiog 


00068 by *. 
Year 


W 7 © wn lee 


5 ww + o©y 


4 


Year of the alien Period 
Wann? 2 
An e ee 
f 4 0 7 


As nothing remains it 7 you it was Leap 
Then take out the Anticipation from Table v. : 


Anticipation þ.. 

8 Days. Hours. Min. Sec. 
For 4000 | WW. 40 o 
3 4 I 
OE as: ae Ar on. A a 
e order = e 

188 — erer ener 1 
2855 Years 35 11 | 


\ Tha 3.2] u have the Anticipation for 4668 Years, being 
of Years from the Beginning of the Julian 


. Fa to the Beginning of the Year ſought, 1 . 


Which Sum ſubſttact from the Radix in Table 
Leap wy oxi the ö Year was found to be Leap 


Nur.) | 
Days. Hours. Mn, See. 
- Radix for Leap Year's 118 19; 0 13 
e Jubltrat- 35 19 BL 20 


ä 


„— u „ ww - + * „ „ „ tr. Mt 2481 


wy dien you. * Namder Days » from the ft of 
anuary at Midnigbt. 
From this Gum. taking of 85 hos (the e 
2 in a Leap Year to the. firſt of March) and you 
wu the Day and Hour in March requir d. 

Days. an 7 * N 


Number ſubſtrat 60 og 
Time of the Sun's Entrance — 
Time of the Sun's Entrance 
into the Vernal Equinox Fa; 23 27,009 


That is on March the 220, .& Minutes, 49 Seconds 
_. paſt Eleven at Night. 7 EXAM PLA E 


— 


. (34) 
EXAMPLE' XL. 


What Time did the Sun enter Aries the Firſt Year of 
Chrilt Proceed after the foregoing Manner, firſt find 
YM Year of the Julian Tested. 8 


Year of the © Fallan Period 4714 


To find the Year of Biſſextile fubſtraR 1 from the 
Year of the Julian Period, and divide the reſt by 4, the 
1 will give you the Year of —_ ought. 


Year of the Tien Packed 4714 
| SR iſt 
The Remainder is 1, which ſhews 2 the 
Fus after. 7 you je 
Then take oat the Age W. 
n ge . e. 
700 3 » 53 0 
* 10 . | | en 50 30 


Tue Amici ion 1 "by 713 Years, is 36 Days, 3 
Fours, '58 Minutes, 39 Seconds, which ſubſtracted 
from the Radix for the Firſt after Leap Year, | 

Days. Hours, Min. 


Radix 1ſt after L. Year 118 1 
- Anticipation ſubſtract 36 3 58 39 
„ ee A ers 


dune Ermer into Aries 81 ot 00... 00. 


1 
a. a 1 ky #7 ? 


© Makes the Sun to enter Aries the 8 1ſt Day, 21 Hours, 
10 Minutes, 34 Seconds, from the Fint of Tee, 


R. * 


| (35) 
the Number of Days in 2, common Year | 


Take off 8g, 
to the 1ſt of 


arch. 
Days. Hours. Min. Sec. 
81 4. 26 


—— 59 
ä Aries March 22d 21 10 34 


- _ . * 
tent. — Sth. — — 


K 


— — 
1 6ͤ—— — 


— — — 


The Time fought is March 220, 10 Minutes, 34 
Seconds after 9 at Night. | 


EXAMPLE XLI. 


What Time did the Sun enter Aries in the Year of 
the Julias Period 6460 | 

Find the Year of Biflextile by ſubltraQing 1, and di- 
viding by 4. 5] 


Take out the Anticipation 1614 


Days. Hours, Min. see. 
6000 46 * @' 
400 | 3 I 40 © 
TS VERT 2 9 12 30 
9 Br I 39 af”. 
6459 n 
— - ne . 5 


Subſt rat the Anticipation from the Radix forth a 
after Leap Year, : 


Radix SEES 13 9; 13 
Anticipation — oma 
68 23 37 16 


(36) 
Take off 59 Ds and you have the Time in March the 
Vernal Equinox happened. | 


F Days, Hours, Min, Sec. 
| 1 moat. 
Days ſubſtraat 59 „ 

. 5 3 —— Wine : EI” 
Sub enters Aries March —_ 7 * 16 
That is, on Merch the oY 37 er 15 6 Seconds 

paſt 11 at Night. 


EXAMPLE XLII. 


What Time did the Sun enter the Vernal *! 
in the Year of our Lord 1748. j 


Find the Year of the Julian Period. 


Year of our Lord given 1748 
Years add . 
Year of the — FRG ſought | 6461 
Find the Year of biene. 
. 6461 : 
| 1 
; 4)6460{ 0 Leap Your 
5 7675 


Take but the Anticipation, * 
Vear 7 K 341 * n Min. See. 


* 6000 422— — . 
þ 400 9 8 ” 3 | 40 — 
60 — 11 l e 
— — — = — 
r 7 ak ” i 
| 6460 5 2 49 13 43 — 


- hs ta. 
a Subltrat 


a (37) 
SubſtraRt the Anticipation from the'Radix for Leap Ver; 
Days. Hours, Min, Sec. 


Radix 118 1%˖ 
Anticipation % 
69 EY f 26 13® 


—— 


Take off 60 Days, as it's Linp Year, and youliuve the 
Day in March the Sun enter'd Aries. 


Days. Hours. Min. Sec. 
69 5 


ann , lte 23 _ 4 
ter 5 in che Morning. 5 


EXAMPLE xr. 


The Time of the Sun's Entrance into the Vernal Ez 
quinox is tequir'd for the Year of our Lord 1749. 


Find the correſponding Year in the Jorian Periods 


Year of our Lord given 


Year of the JuLtan Parte . 
Find the Year of Bifextilg__._ 


(38) 


Take out the Anticipation. 
. Years, ( Days. Hours. Mia. Sec, 
6000 46 1 — — 
400 3 I 40 — 
60 * 11 3 — 
. * — — 11 3 
6461 | __ 1 


— 1 ? rem 
Subſtract hy Anticipation from the Radix, for the 1ſt 

after Leap Year, 
Days. Hours. Min. Sec. 


Radix | 118 1 9 13 
Anticipation 49 | TS Ds 


68 11 1 0 


— — — V— 
* 


Take of 9 al as it's a common Year, and you have 
1 


the Time in March the Sun enters the Vernal Equinox. 

: „Days. Hours. Min, Sec. 
* 6 | 1408 {1 568 5 5 10 
Fe 4 2 4 il at ell D 

* 5 March $56 044 HOP Wat 


vn " _ 


\ — — — 


4 


That is on March the gth, 15 Minutes, ro Seconds 
after 11 in the Morning. 


dion A 8 mA 
£2 30S 
I have likewiſe added in Table V. a Radix for the 
Years ſince Chriſt reckon'd from Midnight 
You need only find the Year of B extile, and take 
out the Anticipation for as many Years as are elaps'd ſince 
Chrift, ſpbſtracting that Sum from the Radix for the 
current Year, and you have the Time in March the 


_— Ss | 


OW... 


(39) 


EXAMPLE XLIV. 


I want to know when the Sun enter'd Aries the Year 
of the Paſſion; being in the Year of Chriſt 33. _ 
Find the Year of Biſſextile by dividing the given Year 
of Chriſt by 4. | 
4)33(iſt after Leap Year. 


8 
Take out the Anticipation for as many Vears as were 
elaps'd ſince Chriſt's Birth. 


Years: Days. Hours. Min, Sec, 
30 ©} 1 F 31 30 
* | „ „„ 6 

32 .. $ 


gabi the 8 from the Radix for the firſt 
after Leap Year, and you will have the Time e 
reckon d from Midnight. 


Days. Hours. Min. 


Radix March 22 22 by 
Anticipation ſubſtrak — 3 


—ů— — 
* 


Sun in Aries 2 15 16 58 


That is on March 22d, 16 Minutes, 58 Seconds after 
3 in the Afternoon. 


EXAMPLE XL V. 


What Time did the Sun enter Aries the Vear that 
the Niceze Council met; being in the Year of Chriſt 325. 


Find the Year of Biſſextile. 975 
4)325( iſt after Leap Year. 


81 
D 2 Take 


(40) 
Take out the Anticipation. 
Days. Hours, Min. Sec. 


300 2 7 0 
20 ** 41 0 
4 44 12 

324 be OE 11 40 2 


Subſtract the Anticipation from the Radix, for the fi 


: after Leap Year. 


Days. Hours, Min, Sec, 
Radix 22 21 10 34 
Anticipation ſubſtract 2 tx. 40 12 


_——_ 
— 


_—_ * 


Sun in Aries March 20 9 30 22 


It gives March the zoth, 30 Minutes, 22 Seconds, af: 
ter q in the Morning. 


- _RXAMPLE XL VI. 


What Time was the Vernal Equinoz, in the Year of 
dur Lord 1747. 


Find the Fear of Biſſextile. 


411747134 after Leap Year; 
4136 
Take out the Anticipation. 9 
Days. Hours, Min. Sec. 
ooo 1 7 16 20 
1 „„ SO 2” 
40 7 5 
"le 4 
1746 13 


of 


Sun's Entrance into Aries g 5 26 13 


(41) 


nn the a from the Radix for the 3d after 


Leap Vear 
Days. Hours. Min. Sec. 
Radix 3d after L. Year 23 9 || +16 34 
Anticipation ſubſtrac-t 13 9 33 18 


Sun in Aries March 9 23 3 16 


— — —— 


The Vernal Equinox happen'd in in the Vear of Chriſt 
1747, on March gth, 37 Minutes, 16 Seconds paſt vr at 
Night The ſame as Example 41, taken from the Begin- 
ning of the Julian Period. 


EXAMPLE XLVII. 


What Time did the Vernal Equinox happen, in the 
Year of our Lord 1748. 


Find the Year of the Biſſextile. 


4)1748\ Leap Year 
| 4137 
Take out the Anticip atio. 
Years- Days. Hours. Min. Sec. 
1000 | 7 16 16 8 
n 8 2 044 > 
40 90 7 22 o 
* > I 19 69 
1747 ' . 


Subſtra& the Anticipation from the Radix for Leap Year. 
| Days. Hours: Min. Sec. 
Radix for Leap Year. 22 15 10 34 


-. Anticipation ſubltrat ' 12 9 44 27 


— — - v— —— 
. * q - 


1 


* 1 
—— 94 
* 8 
421 — — 2 


(42) 
© The Sun enter'd the Vernal Equinox, in the Year of 
our Lord 1748, on March gth, 26 Minutes, 13 Seconds 


after 5 in the Morning. 
This is further prov'd by — 42, taken from the 


— of the Julias Period. 
EXAMPLE XLVIII. 
What Time does the Sun enter Aries, in the Year of 


dur Lord 1749- 
Find the Year of Bifſextile. 
4)1749( 1ſt after Leap Year. 
= | Take out che Antici ation. 
Days. ours, Min, Sec. | 
1000 7 16 2 0 
700 5 „„ 
40 o 7 8 
LE ke, N 28 24 
1748 | 3 9 $5 24 
| SubliraRt the rn from the Radix, for the firſt 
after Leap Year. 
| Days. Hours. Min. Sec. 
| Radix | „ a8{j 21 lo 34 


Anticipation Subftraſt 13 9 CY * 24 


— — — — — ———— -__ ——— 


Sun in Aries March — 11 . 


. The Sun enters Aries this Y Year 1 March uh, 15 Minutes, 
v0 Seconds, after eleven in the Morning; ON to 
7 


Example 43, taken trom the Beginning of the Julias Period. 
EXRMPLE e, 
What Time will the Vernal inox in the 
Fear of! our Lord 1890. * 0 
5918901 zd after Leap Vear 


47 2 | - 


(43) 
, . A ti | $5} * ; 
Days. Hours, Min. See. 
7 16 1 8 


1 20 
14 44 
1 


m1 — 


1 M ear 


77— — mn _ ad "Ro — 83 


2 — — — — 


08 Days. Hours. Min. Sec. 
Radix for 2d after LeapYear 23 3 30. 36 


14, --- 34, - 58S, 27! 
#05 e 


Sun will enter the Vernal Equinox on March the 8th, 
37 Minutes, 7 Seconds palt three in the Afternoon. 


4 * 
. 
— 
n ju . 
a. teeth. a. as 1 4 KK * * a» * FL * *. 


* 


Ya. 
—— 


Of the GREGORIAN Account, 
er NEW SIE. 


OPE GREGORY the 13th, finding the Julian 
Account erroneous, by reaſon of the foregoing An- 
ticipation, reſolv'd upon an Alteration of it, which be 
finiſh'd io the Year of Chriſt 1582, and which from him 
was call'd the Gregorian Account, or New Stile. The 

Pope in this Reformation look'd no further back than the 
Councit of Nice, which was held in che Year of Chriſt 
325, and finding ſince that Time the Vernal Equinox 
ad receded 10 Days, he order d 10 Days of that Year 
(1582) to be omitted, which was done by calling the 5th 
of Oober the 15th. | h 
And to prevent Errors of the like Nature for the fu- 
ture, he order'd the ſubſtracting 3 Days from every Re- 
yolution of 4c Years, to be done by omitting the 2gih 
of Februaryy at the End of 3 Centuries, viz. in the Years 
of our Lord 1700, 1900, and 1900, and at the End of 


. 1 
, , —— 


1 


(44) 


the 4th Century, that is in the Year of our Lord 2000, 
to retain it. This is therefore the Reaſon that before 
the 2gth of February 1700, the Difference between the 
New and Old Stile was only 10, whereas fince that Time 
it has been 11 Days; and after the Year of our Lord 
1800 will be 12 Days before us, if we don't come into 
their Way of reckoning. | 
There was ſome tall of our Legiſlature altering our 
Account of Time, which if they do, in my humble O- 
inion, it would be the beſt to follow the Method of 
* Gregory, by omitting (now) 11 Days, all at once, 
and ſo continue the Account with the Gregorian; for if 
they alter it any other way, they will quit by much the 
beſt Syſtem (the Jullan and not gain the Point propos'd 
by ſuch an Alteration, which is to agree with our Neigh- 
bours in our Dates, and obſervance of publick Times. 
The Julias Account is | abundantly the belt to reckon 
Time by, being an interrupted Series of 4 Years, made 
ual to each other, by the Addition of a Day every 
Year ; it is true, they are more than the Tropical 
Years by 11 Minutes, 3 Seconds per Annum, but this is 
ſufficiently noted. that no great | reoemurangh can ariſe 
from it. By the Gregorian Account, the Year is brought 
nearer the Tropical Return of the Sun, at the End of 
each Century, by omitting that Day in Leap Year, which 
the Julian Account retains, but then it abe 400 Vears 
in making them equal to each other, or giving their mean 
Quantity, which is done in 4 Years by the Julian. 
I be Gregorian Account takes in no Era of Conſe- 
quence, whereas the Julian was fix'd a little before that 
grand Epocha, the Birth of Chriſt. $ 76 46-6" 
The Gregorian Account agrees with the Julias in 
the Days of the Week, being always in the ſame Day 
of the Week together.. %% 
FTbey both uſe the ſame Calendars ſo far as having the 
ſame Number o Months and ſame Number of Days in 
each Month, &c. Agree with each other in Biſſextile, 
- for 99 Years, then the Gregorian has a Common, inſtead 
Hofs Leap One; after that they agree for 99 Years longer, 
c They differ, in that they very ſeldom will begin 
the Year on the ſame of the Week. 
Hen They 


of 
— 
4 
1 


Va 


% 


> 
» 
© 
e 
1 
7 


WW Oo mu % OD == © * vow fp ongw wy, m3 


wy, -» 


» UW ww 


Ec. 


70 find the GREGORIAN 


(45) 
They differ in the Day of the Month; and very often 
are not in the ſame Month together. | 
They differ in the Times. of obſerving publick Feaſts, 


ts — 9 


1 4 0 unn. 


__ 


Dominical 


— 


Letters. 


Pf ating of ten Days in 1582, a ket 0 


 mitting the Day for Leap Year in 1700, bre king 
the Order of the Donfinical Letters, making it impoſſible 


for the Cycle of the Sun in the Julian lable, Number I. 


to point out the Dominical Letters for the Gregorian 
Years, oblig'd me to farm Tables for acjuſting the Cycle 
of the Sun to the proper Dominical Letters, for the Years 


in the Gregorian Account. 


R U L E. 

Find the Solar Cycle for the given Year, and even 
with it in the Tables VI. VII. VII. IX. X. or XI. 
you have the Dominica} Letters ſought. | 

If the Dominical Letter requir'd, be between the Years 
of our Lord 1532 and 1 incluſive, look in Fable VI. 

It between the Years of our Lord 1701 and 1799, in- 
cluſi ve, Iook in Table VII. 1 
vid between 1801 and 1899. incluſive, look in Table 

If between 1901 and 2099, incluſive, look in Table IX. 

If between 2101 and 2199, incluſive, the ſame Letters 
as the Julias uſes, will anſwer for this Century, (or Table 
X.) _ 14 Days before that Account, which is even 

cers. 

If the Year ſought, be between the Years of our Lord 
2201 and 2299, incluſive, look in Table XI. ; 


EXAMPLE 


(46) 
"EXAMPLE IL. 


What was the Gregorian Dominical Letter, for the 
Year of Chriſt 1670. | 
Find the Solar Cycle, which according to. the forego- 
ing Examples, you mult do by bringing the Year into the 
Tulian Period, and dividing by 28, the Remainder will 
be the Cycle of the Sun. | 
Year of our Lord given 1670 
Years elaps'd, add os: | 4713 


— — 


Vear of the Julias Periode 6383 
256)6 383027 re 


Cyele of the Sun 27 
As the Year requir'd, is between 1582, and 1699, look 
in Table VI. and even with the Solar Cycle 27, is the 
Dominical Letter E. Enter the Calendar with the Letter 
E, and you have an Almanack for that Year, New Stile. 


R M MIGA MP: LR: LL! 


- - The Gregorian Dominical Letter is requir'd for the 
Year of the Julias Period 6462, bt 
Find the Solar Cycle, 


2 


Cyele of the Sun 22 Find 


he 


ill 


d 


(47) 
Find what Year of our Lord; the given Time is anſve- 


rable co. 
Year of the Julian Period * Gels 
Years ſubſtract | — 4713 
| Year of bar Lol, Is, 


As this is between FER Yao! of our Lord 1701 and 
1799, look in Table VII. and you'll find the Domini- 
cal Leiter over · againſt the Cycle of the Sun 22, to be E. 


EXAMPLE II. 


What will be the Gregorian Dominical Letters for the 
Year of Chriſt 1820. 
Find the Solar Cycle. 
FOIS 820 
24713 


28)6533(233 


cy cle of the 8 | 9 
. Table VIII. as the ear evict is Made 1801 
and 1899, and you'll find the Dominical Letters even 
with the Cycle of the Sun 9, tobe B, Aa. 


EXAMPLE III. 


What was the PLS. Þominical Letter for the 
Year of our Lord 1700. 

This Year inſtead of being Biſſextile was reckon'd a 
common one, according to the Gregorian Rule, ſo is one 
of thoſe that break the Order of the Domincal Letters, 
and is plac'd by itſelf at the Top of the Table, as are 
likewiſe 


on 


(48) 


likewiſe the Dominical Letters ſor 1800, 1900, 2100, 
and 2200. | 


EXAMPLE LIV. 


What will be the Gregorian Dominical Letters for the 
Year of the Julian Period 6713. 


Cycle of the an 2 


Find what Vear of Chriſt it is to apply it to it's proper 
Table. 


Year of the Julian Period 6713 
Years ſubſtract 8 4713 
Year of our Lofeg 2000 


Enter Table IX. as this Vear is between 1901 and 
2099. Look for the Solar Cycle 21, and overagainſt it 
you have B A. which are the Dominical Letters . 
This is the Year that retains the 29th of FjSruary 
according to the Gregorian Order, __ 5 


EXAMPLE LV. 


"The Genies Dominical Letters are ſought for the 
Year of Chriſt 21410. \ 


Find 


* 


(49) 


Find the Solar Cycle. | 
2140 


4713 a 
280685 3044 


Cycle of the Sn 21 
Overagaiaſt this Cycle of the Sun i in Table X. you 


have the Dominical Letters C B. 


| The fame as the Julie Dominical Letters for that | 
Year. 


The Gregorian Dominical Letter is requir'd for the 


Year of the Julian Period 7000, 
Find the Cycle of the Sun. 
238 


140 
140 
As nothing remains the Solar Cycle is 28: 
Find what Year of Chriſt it is coincident with. 


Yearof the Julian Period 7000 
Vears ſubſtract 4713 
Vear of our Lord 2287 


— — 


5 Table XI. and even with the Cycle of the Sun 
28. is B the Dominical Letter ſought. | 


. ” 
N 
£ 
» - * 


- 


a. Cubs 4444 * 


— 


(50) 


BAT 


Of the Defect in the EPACT. 


W was ſaid of the Epact before muſt be re. 
garded for the 4 Uſe ot it only ; not that it 
correſponds exactly with the Motion of the Moon in 19 
Years, for Obſervation hath found great Differences to a- 
riſe from it in the ſettling of Eafter, which may be account- 
ed for as follows. | 

When the Council of Nice met to fix Faffer, and there- 
by quell thoſe Heats that had ariſen betwixt the Eaſtern 


n 
F — 


and Weſtern Churches, the Metonic Cycle was had in 


Eſteem, for they ſet down the Time of New Moon 
in the frit Year of this Cycle, for January, February, 
March, c. and merk'd the Days which they fell on, in 
the Calendar with Number 1. ; | a 

The next Year, the Days that the New Moons fell on 
in the ſeveral Months, they mark'd in the Calendar with 


Number 2. and ſo on for 19 Years, which Marks were 


call'd the Golden Numbers ; then they concluded the New 
Moons wou'd come round exactly again, as they weie 
mark'd in the Calendar, and thereupon made an Order 
that Zafter ſhould be the firſt Sunday after the firſt Full 


Moon that ſhou'd happen next after the 21ſt of March, 


thinking the Vernal Equinox always to continue on the 


21k of March, as likewiſe, that the Golden Numbers in 


the Calendar, wou'd always mark out the New Moon. 
Upon this Suppoſition, the Table Number 4 was form'd 
for finding of Eaſter for ever; but the Nicexe Council 
were miſtook in Point of the Equinox 11 Minutes -3 Se- 
cones per Annum, as ſhewn before; which has caus'd, 
fince that Time, a Difference of 11 Days; and that the 
New Moons don't come round exactly again in 19 Years, 
may be prov'd thus, | 

From Table XIII, in 19 Julias mean Years are contain'd 


6939 Days, 18 Hours; and by Table XV you will find 


that in 19 Julian Years are 235 Lunations, which contain, 


according to Table XIV, 6939 Days, 16 Hours, 32 Mi- 


nutes. This ſhews they come round in 1 Hour, 28 Mi- 


nutes, 


9 


(51) 

nutes leſs than 19 Years, and of Courſe the New Moons 
have receded back, at the Rate of 1 Hour, 28 Minutes 
for every 1g Years ſince the Nicere Council; this Difte- 
rence hath thrown the Golden Numbers in the Calendar, 
which we will call the Eccleſiaſtical New Moons, four 
Days and a half later than the Aſtronomical or real New 
Moons; for which Reaſon, when the Full Moon happens 
within 4 Days of the 21ſt of March, the Nicene Rule con- 
tradifts the Table Number 4, which our Church uſes ſor 
finding of Eafter ; for ſuppoſing the Aſtronomical or real 
Fall to fall on March the 19th, the Eccleſiaſtical 
Full Moon that Year, wou'd be ſuppos'd March the 23d ; 
in ſuch Caſe, by the Table, Zafer Day wau'd be the Sun- 
day after, ſo wou'd be the Sunday following the Full 
Moon of March the 19th, and not according ip the Rule 
of Marab the 21ſt; however, it wou'd be the Time our 
Church wou'd celebrate Zafer, for we follow Table IV. 
and not the NiceneRule. 

The Note in the Rule for finding of Eafter in our Com- 
mon Prayer Books, wiz. If the Full Moon happens of a 
Sunday, Zafer Day to be the Sunday following ſhall be 
prov'd an Error, crept in ſince the Niceze Council; but of 


11 


. wo Td a > 4 s + o *« #4" .5 14 3 K > N . — 


— 


1 


1 


r FI B35 a4 3-251idd.d VASE WH EYE RITLES) 
To fing the MOON's Age at any Time it 
the JULIAN Period, 


F HE Year is divided into 12 Months, call'd Ca- 
lendar Months, which neither anſwer to a Round 
of the Moon, nor to the Time that the Sun takes in mov - 
ing thro' a 12th Part of the Zodiac, or round of the Sun, 
but were fill'd up at the different Times of altering the 
Calendar, to make the Year conſiſt of 365 Days, 6 
Hours; therefore the Day of the Month can't point out 
the Moon's Age, without the Aſſiſtance of a Table. 
There is the Periodical Month, or Time that the Moon 
takes in finiſhing her Round in the Heavens; but finding 
the Sun gone from the 8 that ſhe left her, this _ t 
2 TIO e 


(52) 
be the Month of common Obſervation, that is, from one 
Full or New Moon to the next, which is call'd the Syno- 
dical Month, and is to be underſtood in our general ſpeak- 
ing of Lunar Months. | 

There is the Solar Month, or Time that the Sun takes 
in moving thro? a 12th Part of the Zodiac, but will leave 
theſe to Aſtronomers, whoſe _ Study itis, and ſpeak 
of the Synodical Month, as far as it concerns our preſent 
Purpoſe. The Quantity of the Synodical Month is not 
always the fame ; for in Summer, when the Sun ſeems to 
move ſlow, it is ſhort, and contains about 29 Days, 6 
Hours, 42 Minutes, but in Winter, when the Sun ſeems 
to move faſt, the Moon does not fetch up the Sun ſo ſoon, 
which makes the Synodical Month grea ter, containing 
'29 Days, 19 Hours, 37 Minutes, a TY 

This Inequality of the Moon's Motion, obliges us to 
reckon by its mean Motion, taking one Month with ano- 
ther, whole Fa mg according to the beſt Aſtronomers 
i 29 Days, 12 Hours, 44 Minutes, 3 Seconds, 9 Thirds; 
upon this Hypothefis we have form'd our Tables, which 
will give you the Mean Quantity of the Moon's Age, at 
any Time in the Julias Period. 

There are a great many Tables form'd by Aſtrono- 
mers to find the Moon's Age; but Itruſt ours will be found 
as ſhort, as eaſy, and as general; at the ſame Time it wi! 
inform you how many Lunations any Number of Years 
contain, as likewiſe the Difference between the real or 
Aſtronomical, ard the reputed or Metonic Epact. 

R U L E, 

Take from Table XV. the Lunations and Epacts for 
as many Years and Months as are elaps'd, from the Be- 
ginning of the Jia Period to the Time you ſeek for, 
adding the Radix at the Top of the Table to the ſaid Sum, 
(this Radix is the ſuppos'd Age of the Moon, the Day 
before the Julias Period began) the Remainder of the E- 

pacts, after caſting off as many Lunations as are conta in d 


in them, will ſhew you the true Epact, or Moon's Aye, 
reckon d from Midnight Januar the Firſt, 


EXAMPLE 


(53) 
EXAMPLE LVII, 
What Time was it full Moon in 4pril, in the Year of 


our Lord 326. 
| Find the Year of Biſſextile. 
- 4)3z26( 2d after ia Year, 
81 
Find the Year of the Julian Period. 
Year of Chriſt given li e roo BI 
Years add 4713 
| Year of the Julien Period oz 
—— 
Take out of Table xv. the Lunations and Epats 
for 5038 Years, and from Table XVI. the Lunations 
and "Epafts for March in a common Year, being the full 
Time elaps'd from the Be — of the Julias Period, 
to the beginning of the Month fought, can the Ra- 
dix to this Sum 
Years Lani ne pacts * 
no- ' ? Ys. NN in. 
und Radix 19 2 | 
will 19 N 5 
ears 10 23 = 309'* 
or 19 5 0 
F a 
5038 62314 69 18 1 
| » bee as 3b, 
for — — N | | | 
Be- 62316 10 17 3 
for, TOY. ab 
1m, 
Yay After. taking off from the Epacts as many Lunations 


E- as OO .contain, (which are 2) and adding them to _ 


n'd 9 it appears, that an the laſt 
March Year of our Lord 326, there were 10 od 


17 Hours, 3 Minutes gone in the 62316th Lunation, 
fince the Beginning of the Julian Period; ſo to find full 
TI Saw 24 Moon * 


* . + acts „* a and th " 
4 ES — oe . * * 
o = 
* 0 7 * 


bf the Synodical 


"(this Radix is the ſuppos“ 


(6380 
e that is, from one 
Full or New Moon to the next, which is call'd the Syno- 


dical Month, and is to be underſtood in our ln 
ing of Lunar Months. fl oy = 
here is the Solar Month, or Time that the Sun takes 
is moving thro* a1 2th Part of the Zodiac, but will leave 
theſe to Aſtronomers, whoſe *＋ Study it is, and ſpeak 
Month, as far as it concerns our preſent 
Purpoſe. The Quantity of the Synod ical Month is not 
always the fame ; for in Summer, when the Sun ſeems to 
move ſlow, it is ſhort, and contains about 29 Days, 6 
Hours,” 42 Minutes, but in Winter, when the Sun ſeems 
to move faſt, the Moon does not fetch up the Sun ſo ſoon, 
which makes the Synodical Month grea * n 

29 Days, 19 Hours, 37 Minutes * 

This Inequality of the Moon's Motion, obiges us to 
reckon by its mean Motion, taking one Month'with ano- 
ther, whoſe Quantity according to the beſt Aſtronomers 
i 29 Days, 12 Hours, 44 Minutes, 3 Seconds, 9 Thirds; 
upon this Hypothefis we have form 'd our Tables, which 
will give you the Mean Quantity of the WIE 4: in 

. ime in the Jalian Period. a 
There are a gteat many Tables ee Aftrono- 
mers to find the Moon's Age; but I truſt ours will be found 
as ſhort, as eaſy; and as general; at the fame” Time it will 
Inform you how many Lunations any Number of Years 
contain, as likewiſe the Difference between the real or 

Altronomical, ux$ho-reputed or Mitoaic * £5 


R U l. E. 94 


Take from Table XV. the Lunations and pace for 
"us many Years and Months as are elaps'd, from the Be- 
- ginning*of the Ju/ian Period to the Time you ſeek for, 
"adding the Radix at the Top of the Table to the ſaid Sum, 
4 Age of the Moon, the Day 
before the Julian Pericd Nero the Remainder of the E. 
' pats, after caſting off as many Lunations as are conta in d 
in them, will ſhew you the true Epact, or Moon's Abe, 
Zeckon d from Midnight A e Furt. oY | 


? 


EXAMPLE 


1 
Al 
1 
te 
bn 


= 
a? 8 . 
** * 


12 


4. =). 


bee 4 rene 


ark 2 the Year of Biſſextile. 
8 T „nenen. 


c 01 ** * , J 1 2 A. W a LAS at 


YL 


_ Vind the Year of ths Palin Period, I 


* 
2 


2 of ; Chriſt * rt. 4 ei 


cars adi „ 4713 


ver of the Yale, PensVe 8 


* out of Table xv. the Lunations and Nd Epatis | 


pats for March in a common Fear, being the full 
Time elaps d from the Be e the Jalta Period, 


to the e of the ght, . the K. 


8 
: 


2 | Om 


8 off from the Epadts as mapy .Lynations 
as they contain, (which are 2) and adding them to = 
* 5 ions, it appea8s, that an the laſt - 

ar 


17 Hours, 3 Minutes gone in ys 62316th Lunation, 


Cues the Beginning ab Fa Period; ſo to find full 


. Vears, and from Table XVI. che Lunations 


the Year of our Lord 326, there were 10 — 


Moon * 


22 , 
— — A— — 
* 


. ———— WY — — > 
—— —G - 
. 
- — 281 - - — — — —— — 


. 
= 
_ — 
— - 
— = - 4 Py e 


1 
. 

a 15 
22 1 
11 

** Th : 
77 
: 


e * 
EIS 5 9 
all. . 


< 800 


| Moon in April, fabltra the Epact 10 Da „ 17 Hours, 
3 Minutes from ' a tall Moon, half a Lunation, and 
| the Remainder will give you the Day and Hour in 
. ry bp 
| . (Hours, Mio. 
Half bene een 14 18 22 

ee 17 3 

| " bad * of 2 1 5 . 
* 4 ub a 19 


— — 


_ of 


2 244181 ar a 


Fan Moon in Ait 


aa E 


"Them mean Time requir'd that full Moon tappened; is 
Arid 415 at one in ne r 


IEE nothing > farther than: New oi or al 2 de esd 
yd need ” take out The Lunations, only * Epacts, 
with the Radix, and rejecting as many Lunatjons as there 
de in the Epacts, when added together, the Remainder 
gives you the Age of the 4.1 the laſt Day of the 
preceding Month, which ſubſtracted from a. whole Lu- 
nation hen a New Moon is ſought, or half a 2 

fall Moon be wanted, (unleſs the Remainder be above 
half a on and + lt en . e ſubſtract it from a Lu- 
nation and a, ha the fall Moon) ou have : 
d Hou! k in 15 Monch acl 


Þ 6 ; 3% . | 45 


N 1 


— 


Th Ex AMPLE vin. - 
"Fae Time was, it New Mon in 7 7 the 4 

Nes of ns eee 50 

1 Year of the Nu. Period. | £5 
Year of Gur ang 3 4 1 325 — 
er l 0 ph 2 1 — 4713 

10 ven 4 Jos 
Eier 5 F . Uk eh 5 


. . | 8 6 
& — 2 * e 
= 13 


2 P 
of Es n N nde $447 RM 


* an 02.) Wn 797 naval, 24) 16 2uewiigetT pls 10h | 
4 Take 


8 * 


* 7 
i 


Number for the Year of our Lord 325. 


AAA cab 


e 880 
» Toke cat be Ehe.. Ei 16x03 dt 1b £1} 
73 ee = at 3CK" x 2 e chen Das. Hour. Mis, 
01e 90 rc): 2394: £1 Radi 13 deus ot tit 
* $8 Gand 4 tt eng SIS Keie * ch 91 


* 


2 2 ien ge 
4 | "+3 x X04 » — — — — 
01 n m rant cn; nn 42 , 
| 7 13: 


| Caltoff one {oats . 12 44 
br alen BY 12 : e's alten ö 
N77 ur he "42 48 


1 : ” * | 


This i the Age of the Moen Aaken Deni u e- 
ceding Vear, ſo to find New Moon ſubſtract this Re- 
3 from n zue r 
aide 8 Days. Hours. Min. 
e 80 . 
S e of the looks Day of 1 25 | 
the preceding Month 


—— 


— ˙ —pů— —̃ — > 
- r= — — 2 


— 


N 
18 
1 9 
14 
411 
} 
| i 
. 
ty 
i N 
141 
N 
z 
? 
il 
1 
' 
jt 
| 
i 
| 
. 
" 
" 


New Mogn is: Jay 4} * . 


The me Time New Moon fought & Janus the 
t ac 7 in the AN n r. 


For a Proof of this laſt Example find the Golden 


* ,. 


———ůů a 


— 


72 t 19)5038(205 
$ 5 3 4 : w4 
4 © 4.4 * %. ws tl $ x26: 8 f 
8 | 1 1 24 
7 N ; 1 , e 2 3 7 
w EE 6 oo NES 4 


; — 2 , © - N 
, 2 1 19 2 it. e If {3 * 
«3 * W 12 . Jet | 1 * * » 
| : . 123 e 
an 84 Se 0413 hi 4 dais 


— — — —— ͥ — — ——— — —— 3 —ñ—ä— — 
— > a —— — — —_ 


— 5 - 
— — — — 
— — — 


4 5 . , . | ry | 3 
* * C33 F AS ny EF EE) . MP; 5 2: '2© ails 


een Note 


1 TF 4475 FA 


. £ it SLOT! LE v7 *001&-- f 
ql 11 } ae 9 15 


— 


* BY 


'4 


156) 


Conſult the Calendar in our Common P 
where you'll find the Number 3 before the 


Books, 
of Ja- 
'd, which 


_ nuary, to denote New Moon then ha 
muſt be right, 1s this was the Time the Num- 
iſted for. R 


n 
„ EXAMPIL E IX. \ 
© The New Moon i fought for Jana, inthe Year of 
Chriſt 1750. 
Find 8 Year in ; the Julien Period. | 


r | 1750 
Fears add 5 4713 


v. of the Julis ret 68403 


Subſtracting the e from « Lana, os Maw 
the 26th, at oge in 


| Moon was requir'd, it gives January 
the Sen, the _ Time of N. of New Moon ſought. | 


* 
- | 


N93) 


9 


* 45 


65 „ 
BXAMPLE!/ A* 


The full Moon is ſought for eee he Tear of 
the Julias Period 4300. >08 7 UN 290 


Find whether it's a common or Leap "Year; by ſabſirat- 3; 
ing 1 and dividing 4. | 


- 
| 4300 
5 428 
a * n "x > " » yo” 
— 1 . 2 1 5 1 * N 1 on 
. 4 : a c = te 


#+ 4 2 * 5 - 


e da alter Leap Year 


4, 
1974 b 21 ON 1 5 1K 


Take .out, the Epa W 
Ne I e ee e Min. 


en bree landes be 


a werdy 4 ew © 4 


: = , 1 - Þ 4, S Tn 24 50 
2 44 T 43 1 8 ory > 4 CY. 1 BY we Þ "$4 7 


be Retainder' being the Age e "of e NT 
Day of Nowember, fi aba it : rom half a Lunation, to 


find the full Moon i in December. 
Days. 5 1 . [0 
Half A Lanai 14 18... 
2 e 


el W Baht ö 


renne Cas 


It gives you the 6th Day at: four in the Afternoon, for 


1 the Lime of Full Moon ſought,” bh n to EXAMPLE : 


RS o 


4 . * " 3 * 9 _ M WY * s i oh 
\ A * — 


Conſult the +, 17 AS 
where you'll find the Number 3 before the 
_ nuary, to denote New Moon then ha 
- mult be . 
ber was iſted for. 


A BYXAMPLE LIZ, + 
| The New Moon i is. fought for Fanuary, i in the Year of 


Books, 
of Ja- 
n'd, which 

"es 


* 


7 Chriſt 1750. 
>, Find N at Rc Year in | the Julian Period. 
Tear of our Lad 1 1750 


4713 


Subſtracting ae gebied us New Wes 


Moon was — it gives e at oge in 
te Afternoon, the — of Nw Men woe K 


mm „ EXAMPLE 


FT 214 17.4 a 


EXAMPLE! A* 


The full Moon is ſought for December, i in tl the Lear of 


the 7 alian Period 4I300- 5087 TH, 200 


rind whether it's « common br Leip Ver, by ſabftraQt. 
ing 1 and dividing by 4. | 


1 
9 
7 5 * N WY 
1. 0 — F 32% 
0 * : s Se 


— 
— 

%. 

f 


a 0 aſter Lay Year 


—_ Fr 
1974 bo: mY cet! 501 10 we 
Tits .out, the Ep 88 
« „ „ "Days. er Min. 
1 Kade : "A; Lak 
| 1 4. 1 
2 Fu 4 
7 0 

1 
„ 

SY cad en e 

9 43 


| 74 "+ : f * 4 "> 


enn of Cn 59 ir” O08 
** 1 Arn 
Wham nt © oe 4 ; «4 p57 i 14 T S 
wall 1 * tit $5 in $!; 1149168 55 30 


3 


; | — 
; be W being the Age of the Moon, the laſt 
Day of Nowember, fubſtrat it from half a Lunation, to 


find the full Moon i in December. 
Days. gt hae Min, 
Half Aa Lunation 14 18 1 
Remainder n, 
E. Moon 1 e 


—— — — — — — 


It gives you the 6th Day at four in ou 3 ſor 


the Time of Full Moon ſought. bu 1244 EXAMPLE 


— ne er ea» cer eee I 


1 


65 
EXAMPLE) 2 


482 


of 
the" a Yer 


n 


5 0 . ba 


- 


25 
| Find the Year of the 1 Period. 
* Re UN UNE > « 91. - 


Yeu ofthe Julia Prod 6574 


r PPP — 3 68 


As this Remainder or Age of the Moon the laſt 1 ay 
a 


2 preceding Month can't be { ubſtracted from half 
tion, to a d the next toll Moon you muſt ſdbſtract 


it from a | Lunation and a half, "ts | 
Days. Hours, Min. 
: 6 


One and a Half Lunation = 8 
Remainder | 4 mY 27 | 


& —_ 1 1 5 
. Y : * 1 os 8 — — 
2823 * TR I I 
; A ; * * * * > - ” % F* | en 4 1 1 # I 7 
* — — — — * 


nada ian: he eh at one in the Mornin 1 
mea Time of full Moon ſought, EXAMPLE 


of 


. 
AME 11. 


What Time did the New Moon häppen i in 3 
the Year of Chriſt 3 42. J 


1 the Year of the Julian . s 


\ 
* * o 
wa mars „? F«⅛/¶ͥ EAX awe ot ler org es —— td ” 
£ 5 b 3 k 
7 4 ® l » 47 
\ A. F . l Ern 


Year of the Julien Period r 
| a IN 5 
Tarr our the rea. 


Days. Hours. Min. 
. | 


NO” a Eo & 
n at "22-8 
N 6 0 8514 5 4 | ; 
5 226 3 


Caſt off two Lunations 59 3 


ä 5 85 Þ Tai JR 053 1214 6 f 1 * 
—— 8 
; r Meet eee enn 


| New Moon in January 2 6 


ST RT A387 Add 


SabſroBing the Remainder from a L and it gives 


* 23d at 6 in the Morning, for the Ti 
of 'N few Moon requires. a 1 


"2 Lo 1 291134 


EX AM EE XIII. 


what Day was it New Moon in en -in-the Vear 
of our Lord 1748. 
-  - Find the Year of the Julian Period. 
1748 
4713 


F 4 | 6467 


. 


desen ds Ba- 
- 14 t ae Done Min. 
. rs, 1 5 

ge) 5 


1n 04 


: 
10D: — 
85. - 
. mw 
; + \ 
* n FE WS, n 1 . 
„ Moon „„ 1 f ** * e D 
January i40 | 6 
| © n=. : 9 1 * 
New 1 7 p — 
22 5 4 2 Ae — 
| 4 Trey n 
7 1 4 


Subftraiing the ann,; 45 


7 the 505 1 in the Morning, the Time requir'd. 
By tbeſe two laſt; 8 may be further prov'd the 
Errors of the Golden N umber, or Number of Direction 
as apply ' d to the Calendar in the Common Prayer Book, 
and were thought to-point out the New Moons in each 
* ſo. was the Foundation of the erroneous Oblerrance 


of Baller fince that Time. tits? 1711 


Taue Golden Number for 4. Year of Gd mol 
| be found by dividing the Aer nn * 
| Period by 19. 7 N ; 


;: 


5 Kt * 8 
5 Vear of Chriſt given * - 342 
* . : N * "Re 
Tear ddt 4771; 


» 4 f 
— ——___ 


Y ear of the Julian Period 75 * 4 rf 47-4 5055 
| : ; : / : —— 


„ 2 _ ww vP 


mY 


19 


dut the New Moon for 1748, on January the igth, that ñ 
is 4 Days ſooner. ; ll | 


I 61 %Y en 
| ra: 1 


Golden Number 5 [ 

Find the Golden Number for the the Yea 55 Chriſt 1748. (| 

Year of our Lord given 1748 if 

Years add _ | 

Year of the Julian Period E461 j 
— 

. 4 

NR 6 n 

: 76 „ 


* 
— ey 


Golden Number | = 


It appears that the Neha of Direction in both theſs 
Vern are the ſame, and if the New. Moons had come 
round exactly in 19 Years, the New Moon for both Years 4 
wou'd have happen'd on the ſame Day of the Month, _ 4 

The New Moon in the Year 6f Chriſt 342 happen d = 
on January 23, as pointed out by the Number of Direc- 
tion I. in the Calendar of our Common Prayer Books; 


by EXAMPLE LAIV; 


The full Moons are requir'd for Rn in the 
Year of « our Lord 750. 8 Find 


* 


i 
F 4 
; G | a 
a 1 
TEES DER. ANCE ꝝͤü2— — — — — 9 
r — 2 
WD... EE Sa nn, nn — 


. wee oe > 


W * a 
N | : 


__ Find the Year of Bifſextile. 
4 | 417z0(2d after 


© 6 
| Find the Year of the Julian Period. | 
i 1 t750 
Years add $5.44 4713 
Year of the Fallen Period ob . : 


Tua out che E OY 


Moon $ ; Age the lat Day 
of the preceding Year; ( 551 
or, the Epact for the nn e 
Lad Lord 1750. 55 


To find the Full Moon i in ley, 
| Subltrac the Epact from half a Lunation. 
Days. Hours. Min. 


+433 1 ; 


|; :  BpaQt for the Year 23 38 
| \ 12708 Ot, „ 1 4 
Full Mook er 11th at 6 at Night, . 


' #7) T0 fad the Full Moon in Febraary.. 


Ada 1 to the Epact for the Year the Epact for January, 


bh in 2 common Year, n this from half a Lunation, 
or 


(6) 
Wi ec tions Kit a Lunation from a Lunation and a 


half, the Remainder gives you the Time ſought; obſerv- 
ing always to caſt off a Lunation as often as one occur dy 


any Addition of the 3 | : 
Days. Hours. Min. 
EpaQ for the Year 2 23 38 
January in a common Year 1 1 "IG | 
15 4 „% 
Half a "Then 7 14 18 l 
Moon's Age lat Day of Tanary 4 10 $3 
EF : 3 © kad 2 29 
Fall Moon ile roth at 7 in the Net, 
Frack for the Year . 23 8 
ee een Poe: 2 {33 T5 
32 10 33 
ene 5 29 12 44 
1 bs oh 22 1 9 : 
78 ESE Days. Hon, Min. 
Half a Lunation e 


1 Full Moon March rich, at $ at Night. 


1 Days. Hours. Min. 
for the Vear ol 
ch in a common Year- 11 


— ——ů— —̃—— 
74 1 * - 
& 
{ Gt OO HU, 


4 Half > Lvnation is. 10... xz 
INE ILL I of M > Shen i oh 


31.2 | 2 — exococnns 


5 „„ . £7. 
e ee eee n eee 
"Fall Moon Avit roth at g in the Morning, 
as Ws Days. Hours. Min. 
Epan for the Year 51 
| rn . 8 21 | K 
AER 774: 3 = 20 41 


1 Days. Hours. Mi, 
Half a Lunstion 14 18 22 
* 1 a of April. 4 J 20 4 


: W K 2 
1 2, 
92 44 £ 4 - * 


| 3 — gh ag x Night. 


by Days. Hours. ah 
* eu Year | J 
ay in a common Ter 3 8 "A 


„ „ + rn . 
Hilf a Lunation Fe Te: - wad 
Moon's Age laſt Day of May 


* 


A * . Year 5 


ith (6). 13 
F E Min 
Half a Lunation 22 
Moon's Ape lt Day of Jun ping 
' We 
| Fae Ju 7th; at 11 ut Night,” 


Jah ina common Year 
| EF N 29 
nr 11 "ig 1s 2 
_ 1 5 Day of 7 n 
6 71 35 | 


255 Fall on aan, 6th, | about Noon. 7 


af in 6 common Year | 
SHE x Linadon: 14 „ „„ 
Nene mig 9 2 | 45 ; 
2 gi n 
| Pull Moon re 0. ſoou is the Mornings; 
p þ Days. Hours, Min- 
_ for the Year OO: INT 
September in a common Year 7 23 


- — —— 
* r —=—m AIRS a, 4 ee —<—— 


2 - 
—— — — 


— 


— 


— — —— 


— — — - 


—ͤ—ͤä— ⁰ —— — 


: r 
k a % 
= 


Herz, occafion'd by the many Irregularities of the Moon's 


True Time does not increaſe with the Number of Years; 


* 


(6) | 


. . of 1775 
4 n's Age 4 "i; 3 


we | 2 5 13 21 
n- Ode 40. e 
cats 4 1851 Days. Hours. Min. 
. 4 „ 23 8 

ee i eee * 8 8 46 39 

: | ITE 200 } Oy ' HIS | 0 
Half a 83 oy a | p * 6 . + ns 
OT na. * 
3 4 4 „ * 


ve lie. at 2 in the Morning. 
* Hours. Min. 


why i wb 


nen be U Yea n bay 38 
e 9 ane l $ ag 1 
e eee FR 
F 
Half a Lupation . 14 1248] 22 
Meon's Age laſt pay of oY n woe) 

November. ....... 1 3 
5 2, n ial ; 
eas did 14 4 


FEalbtess December the . n REY 


4 has been ſaid of the Moon's Age, and the Exam- 
les that hath been ſhewr' muſt be underſtood as the 
can Time of Moon's Age, not the a pparent one, be- 
ing ſometimes over, ſometimes mort, of this laſt, by 14 


Motion. However, this Difference between the Mean and 


for 


ane ee . 


yy ws pa (n VT © tee e 


NY 


(65 


fand Years hence, as it won'd prove now * There wou'd 
be the fame ObjeRions againſt Clocks and Watches (for 
they give only the Mean. Udon” Time) at 12. 


| _ theſe Tables. | 
Of the Times of obſerving Punke 
FEASTS, — EA TE R. 


. T en er wk? it's ye- 


Jain, had Regard to the Sun's Entrance int the 
of the Ecliptic. 

2 — Arnunciation, was plac'd on the 25th of March, 
which was thought to be the Day of the un' s Entrance 


into er; or, the Yernal Equinox. 


The Feaſt of St. Jobn, on i the 24th of June, which 
was thought to be the Time of the Summer Sol A 
The Feaſt of St. Micbaal, on the 
which was thought to be the — 
And, the Birth ef Chrif, on the 2 5th of D, 
which was thought — Se/Aless „ 
All which Feaſts, by bein „ the Days of the 
Manth, have alter d from the 
celebrated them, intended; were they to be obſery'd ac- 
N the Time of the Sun's Entrance into thoſe 
oints, they would correſpond with the firſt Inſtitution of 
them, and we ſhou'd have no Qecafian to alter the Civil : 
Year on their Account. 


Tbe Celebration of Bafter, ob all Feaſts, hab bd 


de moſt-Trouble,-fo man other Feaſts depe | 
N 3 - 198 


it, and the Time of obſerving it being 


| Nicene Council, to be-determin'd by Fi Solar Motions, 


and 50 Round of them cou'd be found agreeable to tbe 
Length of the Vear; from hence ſo great Confufion 
aroſe that determin'd Pope Gregory XIII. to alter the 


Civil Year on its Account, rather than differ from the 


Decree of that Council. This Alteration might have 


been HP mes had it been ny order'd, that 2 
ud 


imes that thoſe, who ft 


Mon 'd be nm or following the firſt Full 
| 8 the Fernal Equinox, (as was intended) and not 
after the 21ſt of March ; this might have been found at 
any Time in the EIT Ao a 
the Civil Year. 


8 


*» 


—B ——_—— 


** «Ju the - Paſchal Full Moon, « and 


true Time of E A STER., 


nis is only finding the next Full Moon aſter the 
Sun's Entrance into Aries or the Vernal Equinox, 

4 « ch was evidently the Time the Nicene Cou 
e it to have been celebrated) and by applying that Time 
to the Calendar, find the Sunday, after which is Zafer Day. 
If the Full Moon falls aa els MEN 


+ RULE. | 


- Frav by hn Biba the Time of the Sus 86. 
trance into the Vernal uinox, in the Year requir'd ; 
then find the Time of Full Moon in March for that Year, 
if it be aſter the Time of the Sun's Entrance into Aries, 
you have your Defire; if before, add a whole Lunation 
i that Time, and it gives you the Paſchal Full Moon; 
— that find the Dominical Letter, and the Sunday up- 
on, R Moon, is the Day 18. 


EXAMPLE. LXV. 
* 


Wben aid — opp ha 
of Chriſt - 2698, W ime mo eren have 
been celebrated. | 


Fund the Year of Biſlextile, by dividing by 4 
ones rg 


natintend- 


6690 
ate out the many 92 the Equinoxes from Tile 
BA | | ks | 4 
ee . E. eel 
| 1000. Se | 2 Tu 8 
600 1 88 4 5 pi 0 
90 2 * . 34 30 
CIP Wg * TT . a » 17 21 
— — —— — 
597 Years 3. I" Pete 7 G5 + 32, 31 


| The Anticipation fubftrafted fro the Radix, for the 
end aſter Leap Year. 


eee Days. Hours. Min, Sec, 
| Radix Mare r e ee 
N n „ 4 I BRe 2108 

we e 


120 2 38 43 


5 — — _—_— * 


Sun in Aries Maris 


gives the Time of the Sun 's Entrance into > the Vernal R. 
uinox, to be March 10th, at two in the Morning, 
Then find whe: Time it was full Moon in March 1698 


| 2 bye 4713 
Yar of the Julian Period —” 


Take out of Table XV. the 


ble Remainder-or Moon's . the laſt Day of Fe- 


7 the F ull Moon happen'd. 


breary as it's more than a Full Moon, ſubſtract it from a 
Lunation aud a half, and i Ba you the Day in Mar ch 


Days. Hou. Min, 
„oss anda Half Lanacion 1 


Moon's A laſt Da | 1 or, 42 
F, $f; als 7 1 55 
1 Fan Moon March by 26th 16 7 


"That i is on March the 1th, 2 at 4 in the Afternoon, 
Which being after. the Time of the Sun's nne into 


e ini Paſchal l Moon ugh. {1 
wed. ud the Demniaical Lever. 
We. _ 28641 4881 ED 
3 5p | 
* : N | : | 56 | ' 
I £ T3 1 11 2 
: F$<..4 * 82 7 21 81 5 : f& 4 
1 * | 56 | N 
1 n * 
© m——_— ; 'J 1 224 \ . | 5 
{£9 324 52) 3 + a 
ehele er the Sun 1 


Look in Table I. and eee d Cd of the 
Sun 2 , is the Dominical Letter B. Enter the Calendar 
with " and even with the 16th, in the Month of March, 
is -w, for Wedneſday, the. Sunday following being the 
- 20th, ſhould have been Zafter Sunday. | 


2 


5 EXAMPLE” IXVI. 2 


| What Time did after happen in the Year of ou 


Lord 400. 
- 7 Find the Year of Biſlextle. 
2 - 4)}4o0o(o Leap Year. 


— * a 
* * 0 
ry - 
* 


1 4 F * > l * . * 
» WW ” a. S Fg 4 * 2 1 e 
by . 
= by L - — 
7 9 0 1 0 - 
. . 
5 y 4 ” * . uy 
. y * - ; 
- ” „ 
— X 1 - 
% I } R 
= 
* v 
= 
— 


Find the Sun's Entrance into Aries. 


Days. Hours. Min. Sec. 
| Radix for L. Year, March 22 185 10 34 
= Buvcipativn 1 3 "> Lan Fi 
I Sun enterd Aries March 9 13 41 37 = 
| — —— — 
Find che full don for Merch in he oor oh ene Foul 
3 ER ; a 
| 400 19 
| 8 , 4713 
Vear of the Julian Period, 5113 
5 | ys. Hours. Min. . 
Radix 19 2 1 
5000 FORT 3 | " - 
100 ; 25 #.:;41$* | 3 
bh: 33 it US BY 20. * 91 
5112 February in Leap Year ©. 22 32 
I — | 1 . — 
g | | | 6 A540; 
$ Caſt off two Lunations | 59 1 
Ap of the Moon laſt Day | in 17 * % 1 | 
Subſtrat the Remainder from a Lunation and s Half i 
x] | . Days. Hours. * | 
1 | 


| Remainder $ 


Tt gives oe: ihe z6th, W d after the Ver- j 
\al Equinox, i the Paſchal ful Moon. Find 


: 
* . ot , p 
on Cre — 1 — 
— — 2 ———— -.- » Go Fas 


Hike ar Cycle 17 
Dominical Letters — to Table 1. are * 6. 
Enter the Calendar, and in the Column G. in the 
Month of March even with the 26th, you find m for 
Monday; the Sunday after is the firſt of Aprit, which 
was Eaſter Day that Year. 8 


For a Proof, | find the Golden Number. 
5 1971469 


- Golden Number : 2 | 

Enter the Paſchal Table Number 4. with the Domi- 
nical Letter G. and even with the Golden' Number 2, 
vou * Abril the firſt for Eaſter Day. | | 


EXAMPLE LXVII. 

. What Time was Eaſter celebrated i in the Year of 
1 Chin 325. 

. Find the Year of Biſlextle. x 

1 e afier Leap Year, 


k N a 5 ** * 


1852 — 


(22 


Take ut the Amiiaion to fnd the fre re, 


- Sun enter d. Ales, March 2 20 _ 360 % 
Find the Full Moon ie Ad” he Year of ous 


2 C1 


age of the Moon the vn | 

Sabilract the r from a Lunation = 
and it giyes the Tine | 8 2 Moan 5 in MED: 
wi chan dd ae , 


* 


Fug & Rr: before the Vernal E 
fo can't be the Paſchal full Time, and 7 which, _ 
- Lanation tb the foregoing ime, 1. gives: you 
e eee a] 
e TOORO Mane R Days. Hours. "Mis. 


ir tr 3 17 


1 


a 4 3 
Cut $1 bo for March 43 


Full Moon 4pril e tings mt; 23 


The Time of Paſchal b Moon in 4pril . 
e 
* 1 
3 "Find the Dominical Letters. 
; „ 
52 i | F pn 5, 
„ 8 28 ; 


Myr 
1 
8 1 

U 

L 

5 
* 
S+ 

[S] 


Galea he be 
e "= bein 26, * 


Eater the nde i r 
ri you find w. for Wedneſday, the Sunday 785 
Which was Eafter 2 18th. 


VVV 
For a Proof fiad the Golden Number. 
1950380265 


G Number 3 
Enter Table IV. wich the Dominica) Lade & = 


even with the Golden Number 3, you'll ad Eafter Day 
to & * 18ch. 


Ritt xvi 


Bat: Du is reguir'a for the Year of bar ord . 


5 1 Year of Biſſextile. 
lad after Leap ww. 
by | > NOTING. La 


| Fa hs Ti ofthe Ver! Bans, 


x 41 

1 Fo p 

3 91 E 
. * 


4 
f > 
2 


* 


Radix for the aa abet 
Leap Vear. 18 


"Anticipation 
Son enters Aries March 2 


don as Min. "i 


. 
* | 
1. 
ö 
44 


; 
" 
., 1 
« 8 od 
KA De wa < 2 1 


2 4 on 
4 > cal = 7 
7 . 7 — tha MY N ö 
ä Jha F 4 a wha; * 7 8 
J 4 8g * 
* * % * 
N ” * 
_ I * 
— 
oe r 
: . 4 


| Find the Full Moon for March in the Year of our Lord 


% 


Take out the Epacts. 


— 1 $ le * * 


. Eb. in a common " 29 Y . 


— 15 * * 
iA de 262 . 
1 d t 
Reminder . Nei 
Full 5400 D d 5 


r full Moori, as its before the Vernal Equinox, 
n*t be the Moo fall Moon,'to find which, add a Luna- 


Goto this Time, and it 2 125 the Paſchal fall Moon. 


+ S244 


at Souls + 2c 1-0 v6 


Hours, . Min. 
13 135 
1 44 


4 


—— * oY 


had —_—_— 


"A Lonation | 


* 
Fa N 5 4 8 * 5 
% oy . 
4 12d a "x Mets (4 ame — ey * Po 


he. * Time. of Paſchat fol Moon happen T 


22 n the 1 of April. 


5 
* 8 


— 


18 


280 0% è =.nm]t 


4 * 


24 
n 


A 

"4 4 . * * = 
2 ' 4 $41.7 7% 4 
CE % 5 : Ul - 8 c . — « * -% L * 9. — of A 


— — * 

% ; b 

* 

* i 2 * A 1 
ban a. 1 | 
” - "= 1 1 „ - „ 2 
* 1 ; | | —— VS a> 3 j 
3 x4 : | | ER) 


* 
* 
N , "x" 
T) | 3 £ - 
| 7 2 1 1447 
” , | . : +" o 4 * ia N 4 
x z " * 0 1 1 4 VS | 


> 1 


135. 8 4 < * * 
* * 252 2 17 | 
| + FH FJ 2 g.and „ %* * 


cycle of the Snn 27 » Dominical Letter B. 


Find the Golden Number. 
'  19)5039l26s 


Re. 2 ns” 
FE St an 


* 


* 


. ba „ 
8 2 © 2— . { 


5 * _— —— ee * 4 P 
* % * N 7 * * 
5 4, "+ * 8 97 * *%. 
+» — ͤF— dag tei «=. 
4 


73 * 
£3 % : 9. "4 5 


| 1 | Ne oo i A 
In the Paſchal Table even with the Golden Number 
in the Column B, you find April 3d for Eaſter Sun- 

7. This was the Year after they had ſettled it, and 

though the full Moon bappen'd late of Sunday Night, 
or rather. on Monday Morning, as the mean Time of 
full Moon is April 4th at One in the Morsing, ; 


St 4 1 
k . * : 
* 8 * 
% 
3 


the Table they celebrated it on Sunday April che 4 
which ſufficiently proves that Note in our Common 


Prayer Book to be. falſe, vin. if fall Moon happens of a 
Sunday, Eaſter Day to be the Sunday after. 
Dr. Valli, in his Letter to Sir Jobs 2/encowe, of M 


his Note to have been inſerted through Miſtake. 
It certainly was either through Miſtake or Ignorance. 
I. find it to have been firſt introduc'd into our Common 


* % | 

( ” 3% 3 0 
„ 8 and 1 RES: . poi] re ol . 
3 Find the Dominical Le r. 3 | 


the gel, .1698, concerning the Obſervation of Eifter, - 
ſu t f 


- 
— 
Y 
M 
— : 4 renn 
3 * Ges” a, r „ 


* 
ger i , = 
- - \ 0 2 , 1 1 5 ; 
„ „„ . : , \ 8 2 8 «4 
b — — — . — — — 
— v2 ˙ . 


li 
Ii 
| 
: 
i 


32 
„% —— 


Fas. : 2 ö 5 7 * * \ F #4 
„ 4 + - _ Oo : 2 pl 
4. - N . 47 ö 13 ; 
- « & 8 L 3 ; 7 
* - | 


"Prayer Books in the Year 1664, when s New Edition 
Was printed by Jobe Bill, and Chriftopber Barker ; nor 
did this Note, at its firit Appearance, paſs unregarded, for 


Sir George Wharton, at that Time, prov'd it to be erro- 
. notwithſtanding which it has ſince — 


; EXAMPLE LIXIX. 


| What Time did the Paſchal full Moon ha 8 


Vear of our Lord 1747, and what Time ought t Eaſter to 
have been celebrated. 


0 Fl 3 — 
- : 
3: tt — f * 
r M1747 eee Ling . 
* 5 o i. = * 
* 1 "Mp T A Y, 


Find che Tine of the Veral Equinox. 


Days. Hoars. Min. Sec. 
*£.0 16 10 0 


5 
5 , 


Ben. a 23 wh t 


Sun enter'd Aries March r 


$343 $2097 — 


eee * oy — 
* 
1 


Proceed to fund — e 
eee e e 


ms: 


COMET 57 $306 GIG, 8 33 
1 x 1 2 - * 
1 © 13 t 4 


Lo 


vn. oat 7 V ee 4 1 i Wy 
bow. | 


. . a 
| Radix. 5 19 2 
. 


12 | 3 52 
21 21+: 18 
| | | 9 | 3 : 
os 5. Us F. in a common vel! 2 55 Air +: | 


| TT 1 2 810 66 5 
oy Caſt of ind Linations | . 


| - . 

| ? — * 

" 
of vs . A hs : » 
- + * * 5 


Sabre . 22 from a Lunation and « half. 


Days. Hours. + Min. 


G a Half Lanation 44 7 6 
Remainder © | „ 


Fal Moon March 2 5 | 3 


— Loc „ 3 a 


proves to {> the Paſchal Full Moon; it likewiſe hap- 
. | peneg .of a Sunday, % ſhould have been Eafter Day, but Wi 
w widely it differ'd from the Time we did celebrate _ 1 
Zafer this Year, which was on April "GR, 72 1 


ik 
As this. Fall Moop is after the Vernal Equinox, a. ö | 


 eBXAMPLE IXX. 5 
eee 
bs oBepe0 n As d 
8 = 67 437 
5 — 
Na iiduc 


* = * 2 3 — o 2 Py 5 1 4 IT 9 C ED — , \ F * py g of a 6 2 ” 1 * 
FE , 9 * * . 0 , ' : * A 
5 : FAY 


90 J Ihe: 
- Find the. Time of the Vernal Equinox. 
Days. Hours. Min. me” 


— 


3 i "S 1 = 7 : 13 5 * 8 
5 — 'Febrearyin Leap Year | 0 22 31 
2 * * 1 * ** : 


| Wr An 0 


— 


* 7 5 
> * E i * — 
þ 824 * 


9 * o& DG 2 * 


— 1 — * 4 0 
ö * wks CY” 0 3 " N 
* * 8 * : ORE "Th £ r — a O j - ä 2 * : 
e "7 \ y * r * * * 
: } me . . — * 
= - 9.5 * 
8 | | | 
I 
( hd 
* 


ann Pi ng” | 
x! . 4,7" <3 BN Hours, TOR 
3&6; 400% 

ii. 11 | 
— — —— 
- Full Moon March 2 
——  —— 
| This Fall Moon ben before the Vernal Equinox, 
| can't be the Paſchal Full Moon; to find which,”add a 
| Lumation te this laſt Time, and it r gives you the Paſchal 


Full Moon. 
bona bong | Days, Hours, Mio. 
TR, Ol March 3 E $A 


. garn TOE = 1s E 
| . 43 2 MY 2 55 


| Cult of in Days for Marah . | 
Full Moon « vi | 
* 5 Ne — it 
Ae ; | the Dominical Letters. » . ll 
5 25606460230 £2297 | 
da —— gO09 if 
$2 t | SA | 
4 8 * 
| 86 1 15 ö 
71 by \ ; — $22 4 a . L943 ; [ 
Cyele of the Sun 21 Dominical Letters C. B. | 
Enter the Calendar with B, and even with the Second | 
Day is sa, for Saturday, the wert Day the firſt 
Sunday after the firſt Fall Moon, that hap next af- 
ter 2. wn ſhou ' d have . * WE 
f Wet Time does the Paſchal Full — in | 
; | . of our Lord 1749. ; |: 
ö ee | 411749(ut her Ledger ? | 


*, 4 * a by ** = wy 
3 * th 


e Hs 
1 + Find the'Time of he Memel Be $62 ' 

CT print tl Days. Hour, Min. Sec. 
1 ro: ie 2» 


„ 
0 


„ 


* 7 22 | | 
0 1 28 24 5 
6] eee 1:97 een | 
4 — —— — CD. * | 
aß oil. "0 ape. Hour. Min. e. 
| } 22 21 ALS. $0.0 & | 0 
- 8 | 


N 1 my. 
4 325 


dee Merch . 10 


. 


'Find the fel Moon ne N 
4713 


Ce 


ERS 2 e * — 


e 4 


| One and a half 9 155 ** * . 6 


g—_— 


«2 
+ / * s F A 


. - * . 

. - ; £43 4 65 ) 
WD. 

4 g 


N. 72 . 


2 * — — 
* = . 
> £2 x33 56. * 
+. * " * 
* 4 . | 8 
7 * C * þ + . * >" * a . * 
* ' —P 
& * 8 7 9 TX 
* 9 % | : - N 


Cycle of the Sun 15 | ok 
Enter the Calendar with A. and you'll find the 22d of 
March falls on a Ms Ga the Sunday after — the 


P 


This Year. we. ſhall, celebrate Eafter : according to the | 
Rule and Intention of the Necene apes ; dong nes ns Ta: ; 


wath DM March the 26th. BETH, 
- AaBXAMPLE LXXIL. | 
What Time wat Eafter to be celebrated-in the: Your 
of oy 7g. 1 
IT | 4)1}5oled after Lins Yer, 3 
* | 5 {4 8 it 4 4 1: 
48 278 : 32k | * N 
"Find the Vernal Equinox: | 


Days. Hours. Min. See. 


1 


Y © & * 8 
T; a #44 I + 


a=. 4 * 
1 — 6 X 
: F4 
* > % 2 * | ; ** ; . — 
* WS a 
? ö Y * — * 
3 „ 


„„ . 
- - Enter the Calendar with a= Dominical Letter G, 


you find March the 1 1th happens of a Sunday this 
car, ſo ſhould be Eafer — | wile I Altera- 


chow, "ie won't be'celebeated till 1. my 


e ä | RE 
—— p 
N * | » 4 FA&> £* a 3 
. ww # #4 «* £ #2 $5 + 
2 
* 
. 
= — ——_— 
+. 
0 0 4 Fa 


_—— 


E Sun, the Earth and its Shadow, are always 
in a Line, and by the Earth's annual Motion 


| round the Sun, form a Circle in the Heavens, call'd the 


Ecliptic ; by reaſon, if the Moon happens to be in this 
Line at its Full or Change, there will then be an Ecliple: 


At the Change or Time of New Moon, it is an Eclipſe 

of the Sun, the Moon being in the Ecliptic Line, 
twixt the Sun and the Earth, intercepts ſome of the Sun's 

Light from falling upon the Earth; when at Full it is an 


. 


- Eclipſe of the Moon, the Moon being in the Ecliptic 


Line of the Shadow of the Earth, is hinder'd from re- 


ceiving its Light from the Sun; now had the Motion of 


the Moon been correſpondent with the Plane of the E- 


Cliptic, there would have been an Eclipſe every Full and 
Change of the Moon; but Aſtronomers .have.prov'd, 
that in its Way round the Earth it cuts che Ecliptic Line 


5 Degrees North, as likewiſe. 5 Degrees South 


of this. Line, fo can't cauſe an Eclipſe, but when the 

Interſection of the Ecliptic Line happens at the Full or 
Change of the Moon; the Points of InterſeRion are 
call'd the Nodes of the Moon: he Eclipſes have, 
however, their Period, conſiſting: of 223 |Lunations, 


which is call'd the Cha/dean Saros; aſter which Time 


it is found, that the Eclipſes come round again in the Or- 
der they did the Saros before. This is the Foundation 
of Table XVII, which is a Round of Ecliptic Lunations 


in a Chaldean Saras. There may be two Eclipſes in one 
Lunation; the firſt of the Sun at the Time of New 
Moon, or Beginning of a Lunation; the other of the 


Moon at the Full of the Moon, or Middle of the Lunation. 
The Quantity of an Ecljpſe, as likewiſe the Places 
where viſible, I ſhall leave co Aſtronomers who ſtudy the 
Motiuns of the Luminaries, as we do the Time in which 
thoſe Motions are made. A 


__ | bs To 


_ 
I 4 


— — — — — — —  __—— 


— "2 8 
0 „ „L „«c — — 


— — 


- _ 
- 
— * * 4 A 

4 21 


unn 


* 


To find the Ec LITSES by the-Chal- 


$ 


A + of 
” * Py 
EV - 
* * 
R E 
Fd . C : 
be x ” — 
| OY | J 


FT AKE out of Table XV. with the Radix, the 
1 Lunations and Epacts for the Time propos'd, ad- 
ding to the Lunations as many as are contain'd in the K- 
pacte; divide that Sum by 223, and the Remainder will 
the current Lunation in the Chaldean Saros, which by 
Table XVII. you, will know if it be an Ecliptic one. 
_ Note: The Time of New Moon, is the Tune of an 
Eclipſe of the Sun, as Full Moon is the Time of an Eclipſe 


r E LXXII. 


1 "4 : bt 


mu, inthe Year of Chriſt 1513. 
FPear of our Lord given 2 13 | 
Vea elaped dd 4713 


4 A | ; 2 * * wy # +4 # | 
*z £4 : 6: . , C . _—_— 3 * y * . 8 

ear of the Julias Period 

4 . A i , d a 


6226 
Take out of Table XVI the Lunations and Epacts. 
ONT OR 5 | Days. Hours. Min. 
Fes Lanations er 
F . vw 
„% "SE 2 1 18 
„„ % 10 39 
r 3 25 vg; rs 


1 


— 2 Lunations 59 I 28 
pd HEADY eee / i 8 
%%% 0 


— 
- | | 


TT) 
Divide the Number of Lunations by 223, and the 


. Remainder will give you the current Lunation 1 in a Chal- f 
dean Sards, | 


223769341348 


— - Reviininder | 59 
I this you fihd, that in the laſt Day of the Year of 

the Julian Period 6225, there was 22 Days, 16 Hours, 
20 Minutes gone, in the 5gth Lanadon ofa Challdcan 
Saros; b New Moon in January, ſubſtract the 
Moon's Age from a Lum, and it gives the Time of 


. new Maon, : 


Days. Hours. Min. 


Lunation : | N * 8 
For Ape of the Moon the Pd 77 7” 1 
of the preciding Mob! Vi 4 = 


3 


bo New Moon Jama e 20 24 


— — 


80 that on January th, at eight at a Night, the Moon 
enter d the "6oth Lunation of a Chaldean * and by 
Table 98 this was no Eclipſe. 


EXAMPLE LXXIV. 


It is requir ir'd if there was an Eclipſe of the 821 i 
February, in the Year of Chriſt 1747, | 


Find the Year of Biſſexaile, ,-- 
4): 747( 34 after Leap Year 


H3 - Find 


(8) 1 


1 "4948 Find the Year of the Julian Period - 
= : "2 Fae 8 1 12 1747 | 3 „ | 
| | | 4713 ; | . 5 


<> Bao: -- 


_—— 


Take out the Lunations * Epacts. | 
Days. Hours, Min. 


ä 19 2 o 
Vears Lunations 1 
r 74211 3 3 
ow 4947 7 
40 494 21 21 18 
in a com * En ee 
— Jr. in 5 
6459 mon Year Fe e 
— e — — 
; F 
— Lunations 59 3 * 28 
1 177 3 — ne 7 — 
"9999 . 3 


Divide the Lanation by » Chldes Serv. 2 
N . $8: 


_ 

36 Current Latin 46: 
You find that on the laſt Day of Jamary the Moon was 
vu . Min. 
3 gone, in the 56th Lunation of a Cha/- 
e ſo to find Full Moos, ſubſtract that Remain- - 
der from half a Lunation, and you have the Time fought. , | .. 


=P © 7X my 


"09. 


W Days. Howes, Min. 
| Elalf the 14 18 11 
; $0 Age of the Moon lat Day of Jar. 1 . 


56 and a half ; Full Moon Feb. | 13 16 19 


-.Loaki in Table XVII, and you'll find that the Full 


Moon of the 56th Lunation is Ecliptic,. and this Year it 
happen'd in the Night, betwixt. the 13th and 14th of 
Fe ruary. b | 


EXAMPLE IXXV, _ 
What Eclipſes will there happen, in the Year of our 


Lord 1750. 
” Find the Year of Biſlextile, _ 
411750 2d alter bens ven. 


137 
Find the correſponding Year in the Julien Period. 


| 1750 
4 -- 03: 


— ern 


' Year of the Jalan Period 6463 


Take out the Lunations and EpaQts. _ 
Days. Hours. Min. 


1 Radix 10 41:04 
Yeoh... -  Limations, ; {16:1 4.) 4datd ft hed 
6000 74211 83 3 \ . 
400 . 12 $ +8 

2 3 8 - 
— j — — 
V 

— Fx 2 Lunations 5g 28 
| orion . —— N ee 

H 2 Divide 

i R 


a 
* * 


tie, and you'll obſerve the gad 


2 


* ee * 
* ( 9 ) 


Divide the Lunatio Sars. 
Divide nations by a Chaldean | 
ARSE «a % : | . 4 | : 


* 


. r 465 
1302 FO 
1115 


1876 | 
1784 ? 


Current Lunation 92 in a Chaldean Saros. 


* *. > mt + —* — 
E263 * e 


The Moon's Age at the End of the receding Yer. >: 
- you find to be 2 Days, 23 Hours, 38 Minutes, gone in 


the 92d Lunation of a Che/dran Saros. 

Enter Table XVII to find what Lunations are Eclip- 
Eclipſe of the Sun, 
but this had happen'd at the Beginning of the Luna- 
tion, 2 or 3 Days before the Year commenc'd, ſo doth 


not belong to the Queſtion. The next to this is an Eclipſe. 
af the Moon at the full of the 97th Lunation, - 


Lluaonations Days. Hours. Min. 
Beginning of the Tear 92 2 3 38 


Moy in a common Tear 5 Fol 1 


— 


»» 


On the laſt Day of May the Moon was 6 Days, 7 
Hours, 5% Minates gone of the 97th Lunation, fo to 
find full Moon ſubſtract this from half a Lunation, 


F Days. Hours. Miu. 
| Half a Lunation * > 19 - ˙ 


i; - i r _ 7 K + 
7 and a Half; Pull Moon June 8 10 25 


"The Firſt is an Eelipſe of the Moon Fuzz the 8th, a. 
bout 10 in the Morning. 2 : 183 


* 6 N 4 


: (91) 5 
Iz] Table XVII. you likewiſe find that the 98th Lunati- 

on is an Eclipſe of the Sun, which is only half a Lunation 
from the full Moon of the 97th. {5 Fats | 
5 Days. Hours. Min 
7 and .a Half happen d June 8 10 25 


alf a Lunation „„ no 
gy NT RL... 


- The ſecond is an Ecliple of the Sun June the 23d, 
about 4 in the Morning. You likewiſe find that the 
\. 103d Lunation is ecliptic ; at the Beginning is an Eelipſe 
of the Sun, at full an Eclipſe of the Moon, to find which: 

| Lunations. Days. Hours. Min. 
Beginaing of the Year 92 2 $540 
OZober in a common Year 10 8 16 39 


102 - i 1 


. | We * LE TTL * * , 
% * " 


At* the End of O&ober there is 11 Days, 16 Hours, 
17 Minutes gone of the 102d Lunation ; to find the next 
new Moon, ſubſtract this Remainder from a Lunation, 
and bo gives you the Day in November new Moon hap- 
pen d. 8 


; 1 ö | Days. Hours. Min. 
_ Lunation 05 654 29 12 44 


8 Bt 11 16/1 19 
103d began November. 17th 20 27 
— — — — 


The third Ecli ſe by this * to be of the Sun No- 

wember 17th, —_ at Night. a | 
To find the next full Moon, which is an- ecliptic 

one, add half a Lunation to the above, and i gives you 


| Lunations 


C 0 We. 
Take of 30 Days for November 30 
103 e coo * . 2 


— 


— 


The ach is an Relipſe of the Moon December the 20, 


. about two in the Afternoon. 
- You likewiſe find by the Table, that at the next new 


Moon is an Eclipſe of the Sun, to find which, you muſt 


add Half a 88 to the Time of the laſt fall Moon. 
Days. Hours. Min 


1 . find the mY ind haf Eclipſs to be of the 
Sun Bande 17th, about g in the Morniog. : 
: EXAM PL E LXXVI. 
: What Ech will there ha in the Year of o 
Logs» ew ppen uy 
| bete Year 
"450 


— — 


1800 
. 4713 
Lear of the Jullan Period 633 
N | Days; 


160 


5 Days. Hours. Mins 
Radix i 07 Gr 

Years.  Lunation, *"_ | 
6000 - 74211 LIFTS „ 

500 6184 . - „ 

12 „„ „„ 20 
6512 _ 4 
23 I Lanation 1 

| abs. 2 gn: 
1364 
1338 
22864 
. Dips, Hour, Min: 
| — 2 
it. .. 

* Table xv you find, a 4 and «hl; 45. 

50 * 4 half, 31 Lunations in the Chaidean Sara are 


| _ to find which, proceed as follows, 


Lunations. Days, Hours. Min. 
Laſt Day of the preceding 15 1 


ie r „ %% hs 


r 


Sable this Moon s Age from a \ Langtion ant a : half, 


Lunations: _ Days. Hours. Min. 
1 and a half | 44 "op" + 
43 EE . _ 


TY 


[44 and half happen'd March 28 6 41 


The firſt Eclipſe is of the Moon March 28th, about 6 


in the Morning. 


Eaſt of 36 Days for September 30 


4 


ES 8 
. Ll—lu?unations. Days. Hours. Min. 


—— . 54 


Vear f 

| 11 I 
2 2 
End of Mart! 11 411 
: PREY 


"the ae 2m Eclipſe of the Sun, April the 12th a- 


A f 
nations. Days. Hours. Min. 
* — 1 1 135 * 54 


8 


aun ler Yeu 8 12 57 28: 7 


| $6 and a half Sp. . 

Tbe third 3 Tard di ch Moan fe he aſt 
e third is an 2 

abbat Noon. | 


Lunations. | | 
W 21 a FEE 
Half a Lunation 14 2. 
* — : 


—— — 


51 wo: +. ” TY i. 


The fourth and laſt is an Eclipſe of the son, ce 
e 6th. about 5 an | 


| : FT mean Time of Fall and New Moons, and the 


e . 
_ > What was ſaid -before of the Differenee between the 


One muſt likewiſe be conſider'd in the Times of theſe 


Eclipſes,. we not pretending here to give the exact Time + 


and which not. . | 
Though the Eclipſes come round again in a Chaldean 
Saros, or Round of 223 Lunations, yet it is found that 
the Quantity is not the ſame; this Difference in a Num- 
ber of Years ſhifts the Eclipſe to the next Lunation, there- 
fore this Manner of finding them can't be univerſal, on- 
ly ſerving to compare Eclipſes for 3 or 400 Years paſt, as 
likewiſe 3 or 400 Years to come; but that aur Tables 
ſhou'd be more complete, I have added Srrauchins's Me- 
thod of finding them for the whole Julias Period, after 
. adjuſting it to the Meridian of London and to the common 
Manner of Reckoning from Midnight, beginning the Fear 
in January. | 1 1 pd har 
he Reader will obſerve that in the Table for finding 
the Moon's. Age I have form'd my Radix ſo as to give 
the current Day of the Month on which Full or new 
Moon happen'd ; to do this 1 was oblig'd to fix my Ra- 
dix the Day before the Julian Period began, which makes 
it conſtantly give the Age of the Moon at the Beginning 
of the laſt Day of any Year or Month preceding the 
Time ſought; that ſubſtracted from a Lupation gives the 
current Day the next New Moon falls on, and not the 
Time that is elaps'd in that Month, which would be 
one Day more than the current Time; as January 1 Day 
12 Hours current, is 7anuary the Firſt at Noon; this is 
only 12 Hours gone in that Year ; but January 1 Day 
12. Hours * would be the 2d Day at Noon, being a 
Day and a half gone in Ja /. 75 | 
Aſtronomers generally give the Time elaps'd, which, if 
our Readers think more proper, they muſt uſe the fol- 
' lowing Radixes. I. Days. Hours. 
Radix, or Age of the Moon at the Be- „ 
ginning of the Julian Period which 
will give the Time elaps'd in an 20 2 
Month that New or Full Moon falls OT OT 
Radix 


they happen, but only ſhew which Lunations are ecliptic 


— 


on. 
* * 9 
9 + 


(96) 
- Radix to give the Time elaps'd, when the Equinox ha 2 
from che Beginning of the Julian Periad reckon'd 


een Midnight the Firſt "of January. 
ä Days. Hours. Min. 8 5 
"Ba Year 3 19 es + WG 
Firſt after. mY A , | „ * * 14 Sn 13 
Second after ö r 9 f 13 . 
Third after . 13 14832 beet þ | 


Radix to give the Time claps'd, when the Yernal 
Equinox happens for the Years from Chriſt, reckon'd on. 


N January the Firſt. £ 
Days. Hours, Min. Sec. 
> Year March ee 
Firſt after . 21 N 
Second after F = r 
Third after „ 10 LY 


If ye you uſe the foregoing Nadz to find the New Moon, 
it will give you. the Age x; the Moon the Beginning of 
the Year, or Month requir'd ; that ſubſtrated from a 
Lunation will ſhew how many Days, Hours, &c.. of 
- that Month it will take to give the next Lunation or 


New Moon. 
So likewiſe the Radix bor the Uugl uinox, will 


ve you the Days, Hours, and n are 
* Month it happens in. | * 


EXAMPLE: LXXVII. 


. 


33 7 


| 
| 
| 


| bir Time will it de full Moon in Moy i in the v 

| of our Lord 2418. | 

| | A after LeapYear, 

$2 A 

[ 8 1 b 

Ves of the Julian Peried 5131 

Radix l 
B 2 


: | Deyn Hours. Min! 
rec, 4 20 121 —? | 
| Rodxto giveth ao _— 
2 ; | 25 4+ 31 
20 PEE 10 - 24 39 
10 | „% if N 
7130 Ani in a common Tee „ 2 9 | 
The 4 at” C . p 0 9 | 16 ö 5 52 Y 
Caſt off three Lunations 24 
Age of the Moon Beginning of May 2 40 
Half a Lunation 1 18 23 
NES the Moon Beginning of 4 n 
W e at Full Mon '3 15 42 


The mean current Time of Pu Moon i Hep te ce 
W 1 | 


EXAMPLE LXXVIIL, 


What Time will the Vernal Equinox happen 3 10 . 
N . . 


— 


#6794 ah after Leap Yea 


Oh (98) 3 
e Hours, Min.” See. ; 

5 Radix «forthe third. _ Fo .*: is 

Leap Year, to we 117 3 YO 
'Time elapſed 4 : | ; 9 | ug 


Anti _—_ 05 ow. Oe. | 00 + © 
rf | — 5 41 "a6... 2 
Cate 59 Days ta Mar 59 „ ern 


Time elapſed in Merch 4 Fo 41 16 


5 Tze current mean Timeof the Yernal quinox is March 
| wech, en. +6 Seconds after Noon. 


„ EXAMPLE IX. 5 
Wat Time wilt the Pernal Fouinex happen, in: the 
der Our 1760 
FER ISR ee e — 5+ 
ware | 2. 17 
Years. Davie Hours. Min. Sec. 
1000 „i 8 Fs RL oi. 
700 e n, 70: > IT wed 
TT ES Ns St Bra... l 
2759 = 4 od odds 00 
| © * - Days, Hours, M in. 2 Sec. 
Rein 1 Loa 1 . 
2 3 ou; * * 534 
; ation TOW "66 56 37 


4 an = * * —— — — — 
Days elaple in March | 8 9 13 37 


Sun enters Sims March tb the gtb, 13 Minutes 37 Se- 
2 3 in the n. current Time. | 4 


þ 


Before we proceed any further it's 2 roper to acquaint 
our * of the different Times of Beginning "—_ 
A 


„% PO 
and Year: The Civil Dar throughout Earope begins th 


Moment 12 0 Clock at Night is paſt ; the Mathematici- 


* ._._ Month that New or Full Moon falls 


ans begin theirs from Noon; however they don't agree 
about the Beginning of the Year, ſome being 12 Hours 
after the Civil Account,” as Tycho Brahe and others, for 
they reckon from Noon, the Firſt of January; but the 
Engliþ Mathematicians and moſt of our Aſtronomical 


Tables are calculated from Noon, the laſt Day of Decem- - - 


Ber, ſo that theſe are 12 Hours before the Civil Account, 
and one Day before Tycho's Reckoning. | 
Nothing can equal the Folly of our having two Be. 
ginnings of the Year, One from January, (whence all the 
reſt of Europe date their Civil Year) another from the An- 
nunciation, on the 25th of March; but as L don't doubt 
this will be regulated very ſoon, that we may be ſo far 
_ conſiſtent as all to in the Year at the ſame Time, 
therefore ſhall take no further Notice of it, than to inform 
you, that our Tables are ſuited to the Meridian of London, 
reckoning from Midnight beginning the Year on the F irſt 
of January. tart ES Ie 
Our Readers may, by altering the Radixes, bring their 
* either from Noon 8 as they chuſe, The 
followi ines will bring the Time as they are men- 
. 5 144; ee hey | 
Radix to give the Current Day of the Y Days. Hours. 
on, to be reckoned from Noon the . Bs: 
_ laſt Day of December ; The 
Radix to give the Days elapſed in any ) Days. Hours. 
_ Month that Newor Fall Moon falls Pains | 
on, to be reckoned from Noon the (- *? I 50 
5 laſt, Day of December ' 4 POETS. 
Radix to give the Current Day of the J Days, Hours. 
Month that New or Full Moon ( 1 Bec 
buappens on, to be reckon'd from (_ '9 wh ** 
| Noon, the Firſt of January | jt W 
Radix to give the Days elapſed in any ) Days. Hours. 
Month that New or Full Moon falls . | 
on, to be reckon'd from Noon the he = I: . 


1 1 1 ane 


2 KH 


* 


( 


" RADIXES 70 fd the Vonage 
_ Equinox. 


ADIX to give the Current Day of ebe Month 
that the Yernal Equinox happens on, to be reckon d 
2 Noon the lait Day of December for the Years from 


the Beginning of the Julian Period. 


Days. Tours. Min. See. | 
1 9 . 


Leap Vear 


a 13 > 'Y. 13 
Second afer | wo” ES IT 


119 1 9 "3 


Radix to give the Days elapſed at the Time of the Per 
zeal Equinex, to be reckon'd from Noon the laſt Day of 
— for the Years in the Jaliam Period. En 

Days, Hours. Min. See. 


1 ee 17 13 *. 13 
cond after _ Wy 19g 13 
Third after . > a ; ff 7 


5 Kadir to fire the Current Day of the Month that the 


Fernal 8 to be reckon'd from Noon 


the Firſt of 3 

7 Days. Hours. Min. See. 
118 7: 1 
rin e £ 
A AY 2 <7) 
118 1 2 


Radix to give the * elapſed at the Time of the Vr. 


nal Equinox, to be reckon'd from Noon the Firſt of Ja- 


nuary, for the Lears in the Julian . 
28 Hours. Min. | Sec. 


ee, 1 ally i 7 2 75 
at after he 116 13 : 
econd aſter | 116 19 9 5 

Third afer „ * ö Kati 


K g Ig 43 


Radix to pou 4 the Current Day of the Month that the | 
Fernal Equinox happens on, to be reckoa'd from Noon 
the N December, for the Years fince Chriſt. 


Days. Hours. Min. Sec. 


Lap Ven March 23 3 Mn 
Firſt after Dy A ˖ 8 
Second after TVT 

Third after e r 34 * 


Radix to give the Days ere at che Time of the 
Verna! Equinox, to be reckoned from Noon the laſt "Y 
* .. of December, for the Years ſince Chriſt. 


Days. Hours, Min Lee: 


Leap Year, March % 08 

DO „„ 41 

Second after TTW 
„ after 0 420 37 


Radix to give the current Day of the Month * the 
Vernal Equinox happens on, to be reckoned from pid. 
the mi of hae for the Years ſince Chriſt, — 


Days. Hours. Min. 8 ; 


; Leap Year, March 22 3 10 34 

Firſt after 22 9 hou 34 
Second after | ES „„ RL. ES 
Third after | Rs 10 34 


Radix to give the Days 8 at t'the Time of the 
"Vernal Equinox, to be reckoned from Noon the aſt of 
290 for the Years fince Chriſt, 


Days. Hours. Min. See: 


Leap Year Ma arch JJ; ES. $5. 

Firſt after * St: Io 34 
Second after n Io 34 

Third after 21 21 10 34 


G RULE 
_—_ * 2 0 +. 
« — >. 0 — 
13 POW 
. * N 
- . 


F 
| 
1 
bj 
1 


To find the Eclipſes in the Julian peri- 
ccd, by the Mean Motions of the Moor: 


; - , E l 
* I : ; 1 
* — * 177 : ; i 
1 bit | d 
Jy 5 x 
* k X 


: © 25 8 uh , P - IP) 1 « 
O know if a Lunationbe Ecliptic, find when the 
Full or New Moon happens jn the Lunation pro- 


12 after that, take out of Tables. XVIII, XIX, 


XX, and XXI, the Mean Motions of the Moon and Node 


for that Time, adding the Radix to this Sum, F the Re- 


mainder when every 12 Signs are caſt off, come within the 
Limits of Table XXII. there will then be p Eclipſe z the 


- mearer the Remainder is to the Center o, 0. 


er 6 Signs, the greater the Eclipſe will be. 
_ © Afﬀrotiomers divide the Ecliptic Line into twelve Parts, 
eall'd Signs, mark'd in the Tables with S, each Sign 


— 


Tontains 30 mark d ©; each Degree 60 Minutes 


ber Firſts mark d #, each Firſt 6 Seconds mark'd l, 


each Second 60 Thirds mark'd Jl, and ſo in adding 
Signs, Degrees, Firſts, Seconds, Thirds, you muſt for 


"every 60 Thirds, carry one Second; for every 60 Seconds, 
carry one Minute; for every 60 Minutes, one Degree 3 for 


every 30 Degrees, one Sign; and caſt off every 12 Signs, 
for > Revolution or W Circle of the Ecliptic. | | 


" " BXAMPLE IXXX. 


$ It is ; d, if there was an Eclipſe of the Moon in 


March, in the Year of the Julian Period 4710; © 


Find the Year of Biſſextile, by ſubſtracting one and 


dividing by 4, 
1 4710 3 g — 1 
1 | 


_-44709( iſt after Leap Year. | 


1 
Ar Find the Pull Moon a Mane. e 
5 . F 4 Aves ba Hoon. Min, 
| Bt e Time N 
- reckoned _ Winter © * n 
eee 3 — pe” 6 
8 6-1 : . 
=; A | 10 . 5 2 oh: Zo. 
| | | 1 : 130 | 6 . * 9 
Hu commn eu 29 ir 
> OO 1 19 28 
-- Catz ea = SS 
Age of the Moon. begin- | 3 e . 
ning of Manrcn | * r 16 
Days. Hours: Min. 
Half a Lunativa M 1 22» 
Age of che Moon beginning of March I a 
Time elaps d i in Man en when} bs > 
Full Moon happen d „„ 1 


Take ouvof Tables XVII, XIX, XX, and XXI, the 


- hood Motions of the Moon and Node for this Time. 


83 f 8 l 
We: Sie Radix 4 — 30 18. 
, 4000 » Ji; 7.406 
700 , 7 11 $2: 
. 19 9 28 6 16 
— EDFLAES ab 29 4 
8 4799 Years- X p 
. a In in a common Year 2 | 0 31 533, 
Days in Maca | &* 26 43 
Hours 18 | 7 $7 
Minutes 6. 3 
5 # ER 30 6 12 44 
Caſt off two whole Circles 24 2 
To * | —— 
Vn des 6 6 12 44 
Aften 


VCR 
After caſting off as many Revolutions as the Sum con- 
tains it appears, that at the Time of Full Moon the 
mean Motions of the Moon and Node were 68 6 
12 44 Enter Table XXII. where you'll find that this 
Full Moon was eclips'd, which by Kepler and Petavins, 
avlikewiſe by  #hiften in his Aſtronomical Lectures, is 
ſuppos'd to be the Eclipſe mentioned by Joſipbus, to 
precede the Death of Herod; but Scaliger is of Opinion, 
that the Eclipſe Joſephus ſpeaks of happen'd in January, 
in the Year of the Julian Period 4713. Strauchins joins 


wih Scaliger, by reaſon the fore oing Eclipſe was not 


: % 


mn 


conſiderable enough, as likewiſe not allowing ſufficient 
Time for thoſe TranſaRtions, which the Hiſtorian men- 


tions were done betwixt this Eclipſe and the enſuing 


Paſſover, . 
An er l. 


It is ſought if there was an Eclipſe of the Moon in 
Famary, in the Year of the Julian Period 471 3. | 
Find the Full Moon in January ia the Year of the Ja- 
% & ©: +4 wt Ji Period 4713. | , . 


„3 Days. Hours| Min. 
Radix to give the Time elaps'd „ e 
- reckon'd from Midnight. F *%2\ © 
3 Years.” | | n * 
100 3 11 46 
70⁰ \ R ; 
12 . 
| | 64 rs 3 - 
Caſt off two Lunations. 59 x. 28 
Age of the Moon beginning of 77 
Half a Lunation. Us 10 72 
Age of the Moon beginning of | * TT 
January. # E 
Time elaps'd in Januar ben) ; Þ [ 
Full Moon happen'd. 15 2 "7.1 
— "Rk 


6 


Take out of Tables XVIII, XIX, XX, and XXI, be 


mean Motions of the 8 und Node for this Time. 


38 e 2 
- Yeah . Radix + £09" 0/26 
108816953443! þ (1247 5 hour: 4, ey WIGAN. 
1 7 4 1 
1 o 24 14 36 
Days 9 3 29 $ g*:- 
Hours. 2 | 1 6.9 
Minutes. 47 25 54 
5 29,49 28 


At this pan Moon the mean | Motions 5 the "un SEE 


Node were 5 S 29 40 l 28 1 Which by Table XXII. 
muſt have been a very conſiderable Eclipſe, and in all 
Probability was 4at Joszyavs ſpeaks of. $ 


Note, i out the Motion of the Moon and 
Node for Hours, Minutes, and Seconds, the Reader 
will obſerve, that the Product i is in Quality, what i is even 
WA the Time mark'd at the TP of Fae Table, as! 


20 Hows grollaces - abt 1 28 
| „ 

20 Minutes produces 11 1-28 

| | 1 04, 49 
20 Seconds produces . 


j VG 


EXAMPLE. LXXXII. W ;* 


It is requir 'd if there was an Eclipſe of che Sun i in 
in the Year before Chriſt 585. 
"Fick Year of Chriſt was the Van of che Julian Pe- 


fd. » om 26 
. From which take OY 0 3 2 


| Carrelponding Year in the Tiles? Period. 4129. | 


ad. >. Ih. 


— * OG 8 CEE INN ah tt > 9 * — - 1 7 — 
"FT. e Sz (A * p N 4 ” S * * * 1 CIV TY F : 4 : d k - 
2 , ———— — hi * ; 4 . * 1 
— OY ' 
8 


(de) D 
Find the " * Bilſextile.. 1 
AAS ; n 15 N | 


n Mo 4 


| | EY * * 1 N 
Je ow” HEN PET 12250 Ye | 


1033333 
1 ind u PE Fall Moon i in Mar i in 1032 Tar of Mg Jo- 
| | Les Period 4129. N 
| Radix to give the Days elaps'd, 
reckon' d from n | 
Tan. - | 


Ae 0. Mah - 
: | « 


| Cult of thres Luvations; ; 
F — — — 


150 e of the Moon beginning of Mey n 23 49 


; - ths Lunation _ in 4 
ede Moon beginning of Mo „ 


— — — — 

Ti hs di My N 1 
r wurm; 0% 29% 
. out the mean Motions of the Moon 5 Nes for 

| | this Tine, 5 5 


Radix 419 30 18 | 


* 
: 2 22 1 42 


— — — 
„„ SETIED — . — — © 
b q e - : 6 1 
4 
7 


- — — — — — ——— a. Mato — 


— — ———— — 
_— A — 
> — —ä—ñä— Re E P Pfl. m 

1 g 

* : 

o * 4 - 
* 
* 
* 


1 

| a 
11 a | 
| 
[ : 
* 

fr , 
i 
l 

. 
_ 

4 ———— — 

* - 
—— on ** 
! 


3 
£ 
- 
- 
* 
* 
o 
'® 
* 


F " ſame Hiſtorian ſays, was predifted. by 7 


(ly), c 


Eater Table XXII. and you'll find the Place of the 


ren and Node within the Limits, ſo tbis New Moon 


was eclipſed; the mean current Time is May the 28th 


in the Afternoon. 


This, by Sir Z/aec Newton and others, is ſuppoſed to de 


the Eclipſe mentioned by Herodotus, that happened du- 


ring a Battle between the Medes and L wt fret as the | 


EXAMPLE kin. 


It is eg if there was an Eclipſe of the Sun in Joh, | K 


in the Year of our Lord 1748. x | 
i Find the Year of Biſſextilee. 


pe . 4774 lo Leap TORE | W 3 2 75 
3 | 
Find the + correſponding Year in the Falian Piried... | 
0 eie 
| wa en 8 FRM 3 
© Year of the Julian Period 6451 { / 
N | 3 8 


Find the Time of New Moon i in Pub, in the Yearet 
the Julian Period 6451. | 4 


Days. Hours, Min. 


Radix to give the Days IN 20 2 — 
Years. 


ee | 29 12 44 
Age of the Moon Beginning of 5 16 2 „ 3s: 
DG — om R—_— 


% — ö — 22 ̃ uu— — 
en One 
: - l \ 
* 7 


(080 5 
Qae Lunation 
TH I: 


MR an i 115 | ww 60 

| „ 4 
| Take out the mean Motions of the Mooo aud Node for: + *: 

- this Time, © "© 4 © | 75 


— . 4149 Y 13 

— I We is 8-1 41 42 

we * 
22 


56 21 57 8 


— nn 


By Table XXII. this New Moon is ediptic ; the mean 7 


m—__ ot which happens the 1 ad 11 
n the Morning. \ * by E for 


„ EXAMPLE LAXXIV. 2 
By 
Ls if there was an Ecli of the Sun in 
in the, Year of Chriſt :724. * Mey | 
Paid the Tear of Biſſextile. | 
5 TIN ne Year, : 
Find ear Year i te Jas Porn, 
- Yau hs Jul Prried' 7 1 
200 4 a is 
Find 


Sfp 


bigs 


Find the New Noon in Mar, 
lian Piriod 6437. ., 


: © ; 
—4 
— 


Radix to give the Time 2 „ „„ &F 


reckoned from Midnight 
Tos. OT: F eb 3s Cobbs 
6 Co 8 


16 
6436 | ig Leap Vear 


Cal of t two „ee 35 | is 
Ageof the Moon Begining of 1 2 18 ; 

One!Lanation | 29 61 
Age a the Moon Beginning of Mey 1 


Time elapſed in"! gy whe New e 19 36 


Moon happened. 


. . : 
» - a4 ". . 3 . 1 — * 
. ++ x * ” . © ; 
. 1 - 


is (be Tour of the N. 


Days. Hours, Mia, , 


wo 221 39 * 
: 26 5 „ 


ü ˙Ä— 


e I 
* 


. 
— pus e 


Take of the Khan Motions of the Moon agd Node 


for this Time, 
r 
6000 
4 1 
20 2 
16 2 - 


8 ©. A 1 * 
4 19 30 18 
. 10 28 6 hay 


5 10 24 — 


9 2 ** * 


Days in 1% s 4 12 a2; 36 

, 10 28 2 
Minutes 9 a 0 0 20 0 » 
e OT Wales or jo 
. By 


». 


biss ) 


"Sy Aab Krit: this New Mook ebmes whit the Li- 
mits, ſo was ecliptic ; the mean current Time of Which 


— May the ich about 7 in the Evening. 


"EXAMPLE IX V. 5 
Is Dr. 2 | ad's Treatiſe concerning the Influence of. the 


Sun and human Bodies, tranſlated by ddr. 2 
. Stack, Page 69. * ben Paſſage: t * 
1 bappened January the 2 1ſt 1693, was very ſurprizing,. q 
« for the Moan having been eciipſed. that Nht, the =2 
00 Part of the fick died about the very Hour of R 
Eclipſe, and ſome were even ſtruck _— qe. Y 
_ „ Death f It is required to find this I 60 
Find. the Year * _ One's Period. "1699- 
a "Wt | = a5); 1347 e * 
„ — — — 
0 | Yearcof the Fallin brut _—_ — 6 
Find the Full Moon in Jane, in the Year of the 5c. 0 
Ban Period 6406. | — 
7 Hours. Min, A 
5 Radiz+o give the Time elapſed, 23 
. reckoned from. Midnight Ja- 2 H 
mar the — \ * A 
Years. | b b \ , 
60 1 e 
' 400 | 12 $” 9 
1 „ 
„„ FT I 63 Hi 2 43 
— Eaſt off to Lunations . 1 * 4 
4 — £ 
Ag of the Moon Beginning of Jan: 1 11 F 
ani ——_ a 
Half a Latation. F w 
Age of the Moon Beginning of Fan. 4 1 " > tl 
Time” elapſed in Fanzery when FF, [ 
70 i ll 1 
Finding 


A 


Foreign Author, who muſt have begun his. Year, in Fat 


E 111 2 


Fund Ye the megn current Time of Full Moon this Year 
to be Jauuaty the 11th, at 5 in the 2 you ime - 


20 2 have miſtook the ear, and that the Author be- 


e Calculations of our Tables, we beginnſng 


r ; for which Time find the Full Moon. 


* „ 10045 
e os 1 2 . | . "2023: 
* N . W — 
Year of the Nl Periad _. 6407 
"A . 6 5 
5 | = J n ; , ' Days. Hours. Mia. | 
Radix to give the Time elapſed - 20 2 — is 
6000 a 3 A2 2 nnn 4 wg ' 5 39 5 
4 | SEE TT PET ik 
—— — 


Mut a Lunation 14 18 232 
Age of the Moon beginning of Jan, 14 10 
— 

Time elaps'd in Janwary, when 0 N 
Full bappen d N n 8 


The mean current Time of Full Moon this Veer * 
. the iſt at One in the Morning, ſo ca 
ime of the Eclipſe mention d: To ſolve this 
we maſt obſerye it is a Quotation from Rammazzini, a 


ary and have followed the New Stile Account, which then 


was 10 Days before Old Stile, this conkidered reduces 


the Time of Full Moon to Jannary the 11th Old Stile. 
Proceed to find if that Full Moon was 'eclipſed, by 


ting s out the mean Motion of the Moon and Node for 


” 


Radix 


from March, this would make it in'1 AC- 
. to t 4 oP 


Pied 


. ß ¾²¾'ÿJ.. . 
- 0 find the Time of Sun's riſing, for any 
Fear in the Julian Period; Latitude 


—ͤ——— — —— — ——— —õ8—ä6¹ꝛ. — a, 
8 : / : I 
9 : 


- 
» 1 - s E 
= Aa G 
5 « * 3 I * * 


* — 4 * 1 
8 —— — — ——— 
— — . * 


* 3 
6 1 3 5 


A— 8 * 


— . F 


At this Full Moon was the Eclipſe ſought, the Mean 
-current_ Time of which happen'd January the 1 rth, at 
ive in the Evening. . * 
Moſt Engliſh Readers, without ſome ſuch Help as theſe 


Tables, wou'd neither have known the Day or Year that 


ſuch Occurrence had happen on, for they wou'd have 


in'd it to have been January the 21ſt 1693-4, 
whereas it happen'd January the 11th 1692-3. 

This Manner of finding Eclipſes, may ſerve ſufficient- 
ly true for-Lunar ones, but Solar ones are not ſo certain, 
for it may happen 


%. 
Bo — _ 4 a * 
* * * * 4 
| ** A ö - 1 Ko 8 y : a += 
- 5 5 d „ 9 Be | "En * 
. 1 * — - — *7 * * 
þ , 
" —— TX. f 4 Ai 6-7; 44 met 4 b ' ” oo) 
* * « 1 : 7 K 4 
- © 1 9 
— a 1 n 8 . ” * F 
Y £ 7 1 2 4 8 4 * D ge W 4 * 3 — 
— - — — — = 4 0 —_ — 82 8 8 8 . n 4 111 


82 


6 


| don. 


EY 


nz Sun's rifing is ſer down in our Calendar, as 


agreeing with this Age, judging it more uſetul to 


"ix the Root from this Time, than any other. If the 


Riling of the Sun be requir'd for any Year paſt, find what 


are the Number of Days of Anticipation out of Table V. 
for as many Years as are elaps'd from the Time given, 
to the Year of our Lord 1700, or to the Year. of the Ju- 


lian Period 6413. When you have found the Number of 


Days of Anticipation, ſabſfract them from the Day of the 


| | gon 


that at ſometimes it will not anſwer, in 


(113 


Month given, and the Time of the Sun's in the 
Calendar that is even with the Day of the Me ater 
ſuch SubſtraRion is made, will be the requir'd Time. 

If the Time ſought be after the above Root, proceed 
in the ſame Manner, only add ſuch Number of Days of 
- Anticipation to the given Time, and the Suit's fiſing in 
the "Calendar, even with the Day of the Month, after 
ſuch N made, will be the Time Hought. 8 


"EXAMPLE LXXXVI, 


What Time. did the Sun riſe on the Firſt of nan; u. 
at the Beginning of the Chriſtian Epocha. a4 10 7 
From the Birth of Chriſt to our Root is eee for 
#: which Number take out the Anticipation. 
N Vea 1898 


1000 
7 


2700 


Subſtracting 13 Days ca the Fir 7 an i 
os you h of December, Which of Jo that t 
n roſe or the firſt of January then, at the Time it doe. 


now on the 19th of December, that is, I on” 
nutes after eight. c 


EXAMPLE LXXXVII. 5 


| What Time did the Sas riſe on. Mey- Dey i the Year 
. Julien Period e, 
| 6h 


Yer g = 


5613. 


From the Time given to our Root, js $613 Ye Years, for | 


which anger take e N 
N my en 5 


2 1 
* 
$ 
"a 


"8. 


* c 
= v * * by * 
— > 


— 
d 43. the Number of Dr of 
ü May-day, you have the 19th of March, which 
ſhews you that the Sun roſe on May-day that Year, at the 


Dime it does now on the N which is about 


forty-two Minutes after five, 
4 EXAMPLE LAXXVIIL. 4 177 
| What Tine will th Sa 0 Chriftmas-day, i the 
; TY of © dur Lord . d 
* * e 
FE eg — $3 n * | 1700 —— 


Prom our Root to the Year given, , are 2000 Years, 
foc which FOG, take out the As. . 05 


f . * 


\ 


2000 0 \ „ OS 


\ 


12 ren 1 - Days. Hours. Min. 


As this 3 is after our Race: you muſt aa the Days of 
Anticipation, and it gives you January the gth. The 
Sun riſes on January the gth, in our Calendar, about 50 
Minutes after Seven, 2 chat 4 Time it 475 riſe on 


e e aay, in the Year of dür Lord 3700. | 7 
— — . 1 


Ns Of the COLURES, 


\HE Colares are great Circles dren i in the — 05 
vens, at the Times of the Equinoxes and Solſtices 


pie ti the Poles of the Equator, and Take 
: he 


where the Sun is at thoſe Times. 


The Tropical Vear or Mme that the Sun takes from 
one Vernal Colure to the next, conſiſting only of 
65 5 48 57 and the Sidereal Year, or 
ime that the Sun takes in going from one Place in the 


Heavens, till it arrives at the ſame Place again, conſiſting” * 


Days. Hours. Min. Sec. yi 
6 9 14 30 it follows that the Co- 
lures muſt move backwards in the Heavens ſo far every 
| Min. Sec. II 8 

Year, as will take the Sun 20 17 30 of Time, 
according to mean Motion in reaching the Place in the 
Heavens, Where the Colure was form'd the Year before. © 
- To illuſtrate it, we will ſuppoſe the Sun to be in a certain 
Place in the Heavens, at Mid-Day, on the 1oth"of 
March, and at that Time to interſect our Equator ſo 
form the Vernal Equinox and Vernal Colurez four Fears 
after this, the Sun would ſhine- on our Equator, March 
10th, 15 Minutes, 48 Seconds, after Eleven in the Mor- 
ning, but would not reach the Place in the Heavens 
where he was when the Colure was form*d four Years be- 
fore, till 36 Minutes, 58 Seconds, after 12. In theſe 
four Years, the Colures have moved backwards from th 
Ffulian Year, 44 Minutes, 12 Seconds; and the Sidereal 
| Year hath moved forwards, 36 Minutes, 58 Seconds 3 

which makes the Colures to have. mov'd on the whole, 
1 Hour, 21 Minutes, 10 Seconds. From hence may be. 
deduced a good Argument for retaining the 17 Ac- 
count, as being a very good Mean between the Tropi - 
cal and Sidereal Years. | AF if 


„ 


» 
: © * CO « | 
— DZ—— 4 ꝙꝓ ꝗ—y— — — — — 


— ao — — — 
: ” 


„ 
© _— 


0 ſud the CO LU RES. 
nee 
AE E out of Table XXIV. the Prectffiohiof the 


1 Colures, for as many Years as are elaps'd from 


the Year given to the Year you are in, add theſe Num- 
ber of Days &c. to the Time of the Vernal Equinox — 


* 


0 —_ - 
cd ad en & will the Time 

x Year, when the Sun will be 2 your Place in- 

the Heavens that form'd * the n Propes'd. 


yoo ſeek the Colure for eu Time to come, you 
a2 the Preceſſion of the Colures from the Time 
255 — 1 2 for the mn _ Noa — | 
have ime in that Year when t un W the 
me Place, thas will form the Colure the Year propos d. 


* k 
ed” i es —- 


— . xs DES : | ” 4 5 ; 
TO BKAMPLE a 


| W 5 
i In ahe Vear of Shin 1748, it is required wh en ; 

| pn was in in ghst Is het ſorm'd the VT hen the 
olure, at ime of the Argonautic on. 8 

ac Newton, is 57 Chronology, P hs 4 91. fixes the 
Argobantic Nee 939 122 belive” de Birch of 

Chriſt, _— added to the Years clape'd ſince 


Chi at 
r 1 | 2747 Fee 
2 Es > 937. 
| 2 pI 2684 
AAR Years ago, „for which * take out 
receſſion of the Colures. 5 
* 
Days. Hours, Min Sec. 
V 


61 
* Hours. Min. Sec. 


Aed the Preceſſion. of 
Colures to the Time of | 
the Vernal Equinox for | > 
the Year 1748, which 9 „„ 

4 by Example LXX. bap- F 


Fr n'd March © 3 8 
* receſſion of tho Colares 37 19 42 830 


47 
h Cater Days for March 31 
Ait ik 1 9 3 


\ | n een enge 


1 oa April 16th at One Y the Morniog in the Yer of 
 *Chriſt 1748, the Sun was in that Place where the Ver- 
nal Colure was form'd. at the Time of the Argenantic 
Expedition. | | 
EXAMPLE xc. 63 
- In the Yet of oi Lord t750 it is requie's at w 
Time the Sun will be in that Place that form'd the 
Vernal Equinoctical Colure in Exdoexas's Time. LEE 
 Eudoxus fiourith'd in the Year before Chriſt 363 


© Years fince ws : „ $895 
- 5 22112 


MY | — 


* which Namber take out of Table . as 
Preceſſion of the 8 


Vears. Days. Hours. Mis. Ges 
—_—_—— OL} 28 4 23̃ 0 g 
Wo | Conn EY 49 10 ; 
10 — $. 4 
2 n 


2112 Preceflion of the Colures . 16 Bs . 1 


— — — — —— — — 'I 
— - * 


TR 


Find N the Vernal Equinox. 


ky | "437 5 1 
1 8 bor 7 Fears. — 


3 15 16 „ 


* E ao weed , — . 1 39 27 
"T9 Anticipation. | 13 1 6 - 27 


855 Sabana the Anticipation from the Radix for the feconl 
Re Hranfen d 


| . Days. Hours, Min. Sec. 
£ "> '7” 20” 26 
IG 3 17 3 


hos ade den 

II's the Tine üs e n on hates, and 
rn | — | 
| . PAPER Min. Sec. 


| Sen in Aries March | 17 4 
— <Y 8 
ee 5.3 Wars 
» 7 
Cal a Dam for March 1 2 
— Axil 8 44. 13 


— 


6. 2 87 


"On es 8th, 20 Minutes paſt 11 in the Morning i | 
the Year of Chriſt 3 750, the Sun will be in that Place 
thas form'd the Verna Colure in Eudoxus's Time | 

EXAMPLE 


tity). 


EXAMPLE XCl. 61 


F. 


1 ne Year of our-Lord-1 555 it is — when 
the Sun will be in that Place that form'd the VernaF 
— at the Beginning or the Chriſtian E arch 


| Take one the Preceſſion'of the Oils. 
Yeats. _ "Days, Hours, Min. Sec. 
| 1000: | „ 0 
„ | ©.9. a0" 46 74 
3 %o [ 
8 ..... 4; I = 
re fhe Clare 26 5 + 50 
Find the Time of the Vernal Equinox, „ 
et ler 25 0 
. / het FS 
Tale aut of Table V. the Anticipation of che _ | 
| 7 Days. Hours. Min, | 5 8 | 1 
1000 7 16 10 | 
7 3 
40 — 7 2 — 
Ivy 830 So 1 5 2 * 24 4. 
200 — ee ss $86 \ 


Sublira 00 Anticipation tm 0 Radix for the RE 
| 8 — "IF T0 Rn Fo 


* o g * A 
: : af * — __ A 


( 120 00 
Anticipation  & 13 2 3 24. 
San in Aries March 9 11 15 1% 


Add the Preceſon of the Dvleres to the Time of the "> 
--_ Sun's Entrance into Aries, - © 


| Days. Hours, Min. Sec, 

Time of the Vernal Equinox 9g 11 15 10 
f F 
Cat of 31 Days for March 31 Es > SR, 


ere 


* * 33 i = — Pore 
ö 1 


On N * zd at two in the Morning, the Sun will 
be in the ſame Place as form'd the Vernal Colure at the 
* of Chriſt. -* 


EXAMPLE XCII. 


In the Year of our Lord 1749, it is requir'd when 
. tte Sun will be in the fame Place that will make the 
| | RO ns in the Year of brit p 2000 
1749. 13 


; 


[ 


Sv —_ 1 K * , : 7. 
7 281 

; 6 
* . 


From the Vear j Bien to the Year ſought is bor'y 1 Years, 
WIS N umber take out the Freceſſion of the Colures 5 


5 : Years, * 7 | Days. Hours. Min. | Sec. T; * 4 
1 -_ VC 
JJC f 
251 | Preceflion 3 A” 12 53 12 + 30 
* | — — . 
36 Find 


5 « 121 "I 

1 Days. Hours, Min. See: * 

Find nd the Vene baue As 1 hve 
for this Year, which by) OT” 
the laſt Example you (9. oh 5 x "0 : 
know to be March } _- „ 


As the Time Fake. is aſter the Year given, you 
muſt /abfra# the Preceſſion of the N ſrom the 
40 10 the X WAG Equinox. | wa 


Days. Hours, Min. Sec. 1 4 
Sun in Aries March p 11 15 10 — 
Preceſſion ſubſtract 3 12 532 12 20 


— : ——— 
= a 


March ii * 30 


- 
1 3 


2 
2 


| On March the " at 10 at Night in 11 Year of our 
Lord 1749, the Sun will be in that Place that will form 
the Vernal Colure in the TOE of Fe Anh he! 


9 2 4's FT x * 
8 1 N 


— WY — — * — — 


J 


Of the SOLSTICES, 


*HE Solſtices are thoſe Points i in the MAY aden 

the Sun is at the greateſt Diſtance from our Equa- 
tor, and makes the longeſt or ſhorteſt Day to the Inha- 
bitants of this Globe. When North of the Equator it 
makes the longeſt Day to all on the North) Side, and 
with us is cafl'd the Summer Solllice; when on the 
South Side the Equator it makes the ſhorteſt Day to the 
Inhabitants on the North Side, and is our Winter Sql- 
ſlice. Now as the Equinoxes or Interſection of the E- 
quator and Ecliptic move backwards in the Julian Year, | 
ſo muſt the Solſtices at the ſame Rate, which as ſhown 
before is 11 Minutes 3 Seconds per Annum. 

The Reaſon is very obvinus ; for the tropical Near be- 
ing 11 Minutes 3 Seconds leſs than the mean Jahan 
Year, and the Plan Year being our fa d —_— of 

L Time 


(122 "iy 
Time, (the Tropical Year muſt move backwards ſo much 
ear as it is ſhort of the 1 Meaſure; and by 
3 having only 36 ys for 3 Years, and 
1 for the 4th; the +4 Irregularity attends the 
ices as the Equinoxes ;—however by the Help of 
Radixes, ons may be 1 to the 3 N 


* 8 1 2 ä — * 


E a —_ ä — . — PREY 
* OA * — 111 


— 0 4 1 wo” 10> 1 
— 
4 = * 


To find the SOLSTICES, BA 
wiſe the Autumnal Equinox, for any 
Tear in "ow Julian Period. 


"RULE, 


ARE. out of Table. V V; the Anticipation for as 
many Years as are elaps'd ce Chriſt, Subſtract 
this Sum from the Radix anſwering to the Year you 
ſeek for, whether Leap Year, Firſt, Second, or Third 
after, and you have the Time requir d. Note, if the 
Time ſooght b be before Chriſt, take out the Anticipation 
for as many Years as it is before Chriſt's Birth, and add 
ſuch Number to the Radix for the Year you ſeek for, 
whether Leap Year, Firit, Second, or Third after. 


arms for the Summer Solſtice. 


Days. Hours. Min. Sec. 
23 13 56 37 


Tf 
| Radixes for the Autamnal Equinox. 
Days. Hours. Min, Sec. 


Leap Year Sor 


. 
Firſt after 25 F 
Second aſter J 
Third after . 


Radixes 


(2123 ps 

Radixes for the Winter Solltice. 

| | Days. Hours. Min. Sec. 
Leap Vear n n 0007-48 : 

Firſt aſter e : tt 

r 7 ile ls het Bhs (5. 2:69 £1 hd 

Third after TEES IS 1 50 2 


EXAMPLE . 


| What Time does the Summer Solſtice happen i in the 
Year of our Lord 1780. | 


Find the Year of Biſſertile. EM 
"RS net) - M790 Leap Year, 
„ 


Taxe out of Table V. the Anticipation for 1779 
I Years being. the Number of Years elaps'd from the Be- 
| 3 planing: of * Chriſtian Fee to the Year ſought. 


f Val. - "Days. Hours. Min. Sec. 

„% 

| „ | 50 os fl atk. 33 30 

| 68. = 0 1 * 39) 2 
— 5 1 ie 8 1 


21 „„ is 37 2 


SubſtraR the Anticipation from the Radix, anſwering 
to * current Vear, which v find to be Leap Year. 


| Radix for the a * 


* | "4% Þ Ways $ | 
Days. Hours. Min. See; 


| Leap Year, June 23 13 56 37 
Anticipation ſubſtracTt 13 2 37 5 


— 


* . 3 . wills: 22 18 42 8 


The Time of — Solftice s Juns the gt, After 
1 'L 2 * EXAMPLE 


ou at gs. 


MAY 
EXAMPLE XCIV. 


1 f is requi ir whatTi the Summer Solllice ba 
in the Year — the 1 4519. n ppen'd 


you the Year of Biſſextile, by ___—— by ; nd divid- 


+ ingby4. 
1519 


Sinne .. 8 2 after Leap Vear. 5 


8 * # 


"Find how many ers before Chriſt. 
The Firſt Year of Chriſt was nat: 4714 


Year of the NO, N be 3 3 
TIME GO.” habe bk | 4519 

. ven before ce e 

Fer which Nutiber als outof Table v. the Anticipation. 

' Years © + . Days. Hours, Min. Sec. 
1 1 0 i... 20:0 

6 SES 7A . 
T 15 t,t 

195 ieee 1 IL. 4 45 


— 


muſt add the Anticipation to the Radix for the current 
Vear, which you know to be the Second after Leap Vear. 
; Days. „ Min. Sec. 


| , Radix for the Summer Solſtice 6 
Second after Leap Year June . "Tg T :; 5 8 
Anticipation * gt 11 54 45 
Fane 25 13 451 22 


„ 


c The Time of the Summer Soles 19 Years before 
Chit, was * the 25th, at one in the "Ahernopy, 21 


As the Vear ſought i is before C Chi, by the Rule you 


EXAMPLE 


e 
EXAMPLE” xXCV. 


What Time will the Agtumnal Equinox happen in 
the Year of our Lord 1893. 
Find the Year of Biſſextile. 


: 22 41189gh iſt after Leap Year. 


—_— 


1473 
Take out of Table V. the Ane of the . Equiz 
 Noxes, for as many 9 elaps' d ſince Chriſt. 
Years _. Days. Hours. Min. Sec. 


1000 | F 1.5 00-1 <a 
8 6 3 
90 | 0 16 34 30 
9959 o 
"OR | Ec 14 7 26 36 
Subſtract the Anticipation Ho the Radix bn the F ird 
after Leap Vear. | 
Days. Hours, Min. See. 
Radix for the Autumnalltq To 5 
nox, the Firſt after Leap & 25 1 : 
| Year, September | 
Anticipation ſubſtract Songs ie s 6 


| mau. 10 ee $7 28 _ 


Sun enters the Autumnal Na 9 the oth, 
at eight at TOR": 


© BXAMPLE® XCVL n 


What Time did the Autumnal _ 1 
Years before Chriſt. Eq ppen 70s 
Find the Year of the Julias p 
Firſt Year of Chriſt was the 


Vear of t lodges; 4714 | 
From which JOG umm. 
Year of the Julian Peril J014 


L 3 — 


— —— 


Find 


(1866). . 


- Find the Yearof hben: . 1, and did, 


* 4 od, 
* „ F r 5 5 
F : 0 ft N i . A ; Tz + | 
——_ 5 
1 — * 1 * 3 0 
” -. 
F 4 


- 
f K — um 
. * ö 
— 
N . - N 


— 


» #3. k 


8 | : | — i rr : $0 | 
ALT 095.1, 141 2224) goers if after Leap Year. 
2p Sth fd p— | ; 
B 1993 


Tae ot of Table v. 1 Anticipation ſor as many 
= Years as it was before Chriſt. | 


1 ws, 


+ Years Days. Hours. Min, Sec. 
„ 26% 0 HO Rant 


141 


As the Year "WER; was before Chriſt, you muſt add 
the. Anticipation to the Radix for the current Yours which 
was the Firſt after Leap Year, | 


ben. Hour. Mia. see. 


— + 


7 


- 


Radix for the AutumoalB- ) 
inox, * Firſt after 2 | | 
00 Year 8 tember 1 35. * Fi | obs, 4 1 . 


1 


21 Srpeember 207: 18 oF 19 4 


The Sun enter'd the Autamnal inox the Year pro- 
18 u e the zoth, at fix in the reg 


ay dere BXAMPLE XCVIE. 


Mat Time does the Winter Solſtice + ney vn. 
Year of our Lord 1750. 


d 12 2 A a x 
_ Find the Year of * Biſftle. 746 it 
7 | 41750(20 afier Leap Ven. 


” 
- 5 Y EY 
;, * x _ -— 
' 4 3 8 8 - ” 
: s | 
* q » 4 
By 2 > 9 ” : 


* . 
S” p ' * * + 
— ; \ it 4 . "8.4 26 ; 
Anticipation « ISA: LR: ESTs 8: 5s g 


* 
» 
Coney 


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Fa iw# AS» © . 
- 
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2 —— * 


— 


— — — — — 2 
— — 
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.* „ 


— a - ——— 
\ ” 
- 


| Anticipation ſubſtrat 13 o 6 27 


1 (a) a 
Take out of Table V. the Anticipation for ub many 


Yer, . * Days. Hours, Min. See. 

1000 ; DOE 36 1 an 9116 \ 
N 440 eh) no trentpCee Bo 8 4 0 

cx: 40. 7 = AE. Bien ek 

— OTA ons „ po 3 
1749 - r EA Bs 
— be A . — — — — 2 1 8 


© Subſtra&t the Antici pation from the Radix, 
to the current Year, _ is the ſecond after Leap Year, 


Days. Hours. Min. Sec. 


Radix for the Winter 801.) „ 
ſtice the ſecond after $ 24 | 7 bs 4 78 
Leap Year, December ; f Ys LENT | NEEDY SAR TI 8 


December 0 21 44 16 


The Time of the Winter Solſtice, in the Year of our 
Lord 1750, is December on oth, at nine af Night. 


EXAMPLE. xk. 


What Time did the Winter Salftice happen, the Year 
of the Paſſion, being the Year of our Lord 33. 
-..» Find the Year of Riſſextile. | 
Nl 93³⁰ ill after Leap Tear. 


. 9” 4.144 A x 


- 


Take © out of Table v. the Antipaton for as many 
Years as were elaps d ſince Chriſt, 


5 Send . |: 5 * Hours: Min. See. 
a | $ 07 00-: 
3 L t1 > „ 
— „ ; — — CI er—_—_— c—— 
232 PL. + 6 0 5 53 36 
0 5 933 ne 4 Bra we ® —— — — CSC GC C C — 
FX Q ; | Subſtra& 


" Your wins elaps'd; ONCE 
\ Year . 


——— 


* 3 OY * m = oy * 6 . 
14 1 7 Y n : K. FE. 1 


— 


n. from the. Radix, anſweriug 
(9 the Year foght, which was thor aſter Leap Year: 


Days. Hours. Min, — 


Radix for the Winter Sol- 


—_—_— 4 | 


Vear, December © 


Anticipation ſuhſtrat © 


The Time ef the Winter Solltice, the Year of the 


1 2” 43 
5 396 
w 537 7 


N r erer at ſeven at Night. 


me 


EXAMPLE 'XCIX, 
Whaz Time did the, Winter Slfice happen, in the. 


Year of the Jalan Period 4587. 


4587 
64 x* 


+ - 


2 Find de Year of Blau. 


..v 


eee n | 


2056 


Find how many Vears before Chriſt, 


Furs Vear of Chriſt was the 
Vear of the Julian Peried F 


Yours given 
| Years before cin 


* out of Table V. the Anticipation for as many 


Tae as before Chriſt, + 
"| Years, 9 Hours. Min. Sec: 
100 o 1s 37 -O 
20 0 3 0 
1 Ws 1 7 21 
ien 23 33. 21 


47¹ 
4587 


| ä—ä— 


127 


— 


Year. > HI 3 4 4 0 2 1 F 1 ö . 
Days. Hours. 
Radix for the Winter 2 e 


* ö I f ern FE 
| | PS. ; | * : 1 1 ren ">. ; i 
Of the 500 Years. ready, calc 
* , * * *®. 4 
TER TS * > 1 3 | * * Cn 4 


ſtice, the ſecond after - 24 7 30 4 
LD Fear, ne, 
Anticipation as 89 23 


. December. 215, 7... 4 


— 


x 1 
1 


The Time of Winter Solſtice 127 Years before brit, 


was December. the 25th at 7 in the Morning- 
With the Help of theſe: Tables we can call back paſt 

Ages, bring as it were the Field of Action before our 

Eyes, fo be more enabled to judge of the Truth of 


_ Hiſtorians Deſcriptions, by comparing the Diſtances, and 
oblerying if they, Gi up thy Toth. Tine Oe, 1... 


E * *« £ 1 ry : 
LM. 3 — —__—— Ab 


1 

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69 * 1 " "p< 4 4 \ "— — 
—— een Nane a 


d . 


. 8 

fa 3 25 

u ated. * 
98 475 1 


— 


— 


" 
bd 


FO make theſe Tables of immediate Uſe, there are 
the Dominical Letters, Epa&t and Eaſter Day 
ready calculated for 500 Years, viz. from the Year of 


our Lord 1501, to 2000 incluſive, whoſe Uſe is as 


Enter the Months in the Calendar with the Dominical 
Letter that is even with the Year ſought, and you have 
ay Almanack for that Lear. When there are two 


? 


* 


Dominical Letters it is then Leap Year, the firſt ſerves 
for January and February, the other for the reſt of the 


* x f , * 
q Th - 2 4 


Year 


— 


A EXAMPLE. c. 
What Day of che Month: was the Second Sunday in 


July in the Year of our Lord 1501. | R 
ven with 1501 is the Dominical Letter C, look in 


— 
* 


: 


2 1950 Ml 
and in the Column C you'll find the = 
e even n g r 


. ER 4 A u 7 L E CI. - 14. 1 


CTY of the Week will the zoth ol Sue 
on in the Year of our Lord 1 1 

ven * that Year of our Lord are the Dominical 
Letters A. G, enter January with A the firſt of the 

| Dominical Les and in that Column even with the 
30th, is m for Monday. | 
By the Epact, you have a ready Way of finding, the 
Moon's Age exact oe 1 for common Uſe. 


LN RULE. 


0 the ben; and Day of the Month 
4x5 Sum for as many Months as you ve p March in- 
clufive ; if ſach Sam exceeds zo, Ru) a for a Month, 
_ and the Banalader is che diide's A 8 

For 7. you add the E Rat bey of the Month 
only for F, you add the N Da o the 
Month, and-the Number 2. 

Note: You may reckon the Moon at full when 15 


_ - the Month 
Cs Wh 4 
* 


. 
9 « — * 
y * 
— 


1 WA | 


; en * er ed 
2 ab kt 2 K 2 2 | ; 


"The Ace of ake Moon 8 Dh, for the 2d Day of 
December in the Year of our Lord 17. 
Even with this Year of our Lord is the Epact 3, to 


"= M which add 2 for the Day of the Month, 3 
= 10 {December being the oth Month from Marc 


* the * n 
wm the Time rr 


| EXAMPLE III. 


„ ede does i uir'd for February in the Tear 
of our Lord ki yah N | 12. 


3 « 131) 
8 with. the Year of our Lord given is the Epal 


| 23. to which add 2 for the Month makes 25, ſo the 


New Moon will be about the 5th of the Month. 
Knowing Eaſter Sunday by the Table of Moveable 


Feaſts at the End of IO FOE FRY 
* men ge 8 4 by | 


. EXAMPLE: CIV. 


What Time did Whit- Sunday happen in. the Year of 
out Lord 1679. 

Overagainſt the Vear of our Lord given, Eafter- Day 
is Aprit 20. In the Table of Moveable Feaſts even with 
. Eaſter-Day of April zoth, is June the 8th for Whit- 
N the Time requir d. ; 


EXAMPLE CV. 


IT What Time will Aſcenſion Day rs in che Year 
of our Lord * 
| Even with that Year of our Lord is april 10 for 


Eaſter Sunday. 
In che Table of Moveable Feaſts overagainſt Eaſter 
Day of April 1ſt, you have 1 the 10th, which will 


be Aſcenſion Day that Vear 
EX A M PLE CVI. 


m= Ii is yy what Day of the Month the firſt Sunday 
= after the 8th of April will happen on, in 1 of our 


Lord 1770. a 
Even with the Year of our Lord given is the Domi- 


"4 


— 


f nical Letter C. Enter the Calendar, and in the Month 
of April down the Column C, even with the 8th, you 
find th for Thurſday, the Sunday after will be the 11th, 
| EXAMPL E n 

The Age of the Moon is requir'd for the 2d of * 


- + N 1 


ray in the Year of our Lord 1754: . 


5 . (130) 
te Month Jul, and in the Column C you'll find the 
| n Nen 


— bey 77 yy "Week will the zoth of Ju 

on in the Year of our Lord 1996. 

en with that Year of our Lord are the Deatthical 
G, enter January with A the firſt of the 


1 
Dominical Letters, and in that Column even with the 
zoth, is m for Monday. 

By the EpaQ, you . a ready Way of finding the 


— 


Moon's Age exact enough f for Eonaition Uſe. 5 
ia . | RULE. 


420 the Epact and Day of the Month t * with 
the Sum for as many Months as you are paſt March in- 
clufive ; if ſuch Sum exceeds zo, caſt 30 off for a Month, 
and. the Remainder is the Moon's Age. 

Bag + January you add ot Bay — Bey of the 
only; for Fe you t a e 
Month, * thẽ Number wy e 7 

Note: You may reckon the Moon at Full when I 5 


rn * e e n eg 


GS n NA T 
The Age of the Moon, i is — $ for the 24 Day of 
December in the Year of our Lord 1750. 
Even with this Year of our Lord is tlie Epa 3, to 
. which add 2 for the Day of the Month, makes 7275 
F 10 {December being the 10th Month from Merch u- 
five) makes the Moon's Age 15 "Py * 


1 0 
. 4 * 
4 1 
1 
9 


\ 3; — 


the Time requir d. 

EXAMPLE en. 
ie New Mood is air d for February in the Year 
of our Lord . 2 | 

* i | | PR : 


(131) 


Even: with the Yeur of our Lord given is the Epalt 
| 23; to which add 2 for the Month makes 2 ſo the 
New Moon' will be about the 5th Day of the Mouth. 

Knowing Eaſter Sunday by the Table of Moveable 
Feaſts at the End of We een 
ee F | | 


EXAMPLE: cv. 


What Time did Whit-Sunday happen in the Year of 
dur Lord 1679. 
. Overagainſt the Year of our Lord given, Eafter-Day 
is Apri: 20. In the Table of Moveable Feaſts even with 
Eaſter- Day of April zoth, is June che 8th for Whit- 
N the Time requir d. ; | 


EXAMPLE cv. 


What Time will Aſcenſion Day happen in the Year 
of our Lord 1901. 
Even with that Vear of our Lord is April rt for 
Eaſter Sunday. 
Ila the Table of Moveable Feaſts overagainſt Faſter | 
Day of April 1ſt, you have May the toth, which will 
be Aſcenſion Day that Year. . Piel 


EXAMPLE CVI. 


f 111 is ee what Day of the Month the firſt Sunday 
after the 8th of April will happen on, in W ear of our 


Lord 1770. 
. _ Even with the Year of our Lord given is the Domi- 


nical Letter C. Enter the Calendar, and in the Month 
of April down the Column C, even with the 8th, you 
find th for Thurſday, the Sunday after will be the 1th, 


EXAMPLE CVII. 


The Age of the Moon is requir d for the 2d of * 
per in the Year of our Lord 1757˙5. e 


9 


| : Moon's Lake Days at the Time W Nen 


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. we begin the Ws in hs Tables uh fed bf 1 
dy, this mult be reckon d the Year of 10 Lord 1755. 
Even with this Year you find the Epact 28, to Which 
add 2 for the Month, and 2 for the the Month, 
makes 32, caſt off 30 for a Month, ad? you have the 


* 


1 EXAMPLE: CVIIT. n 
hat Time TE) Aſh Wedneſday happen on, 1e 
Year of our Lord 1760. b 
Even with 1760 you "find Eaſter Day to be Merch I 
the 26th.” Enter the Table of Moveable Peatts, and o- 
- veragainſt Eaſter Day of March 26, you find Aſh Wed-, 
neſday to be February the 8th. 2 
Now as the Year given is Lo Year, 105 the Feat 
fought happening in 3 by a Note at the Bottom 
2 Gals it __ be one : Day ns) that is — 
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