| - = 


oF 
{> IN 35 
Logarithms, 


For Numbers Increaſing in their Natural 
Order, from an Unit to 10000, 


| 


SINES, TANGENTS 


dius 10,000000. 


Carefully Corrected by SAM. HEYNES, 
Late Reader of Mathematicks to His 
Majeſty's Engineers. | 


hn —_ — — 


| London, Printed by W. Redmayne for Jer. Seller and 
* Cha. Price, at the Hermitage-ftairs ; where you may 
be furniſhed with all ſorts of Mathematical Books 


aud Inſtruments. 1701. 


With a TABLE of Artificial | 


| wy” * 


— 


and S ECAN TS, che Ra- 


3 


„* —A1 


we... 


= 4 1 ä " 
N 
_ 
1 
- * 
7 j 
* 
— 
. * 7 e 
F 0 , 4 . 
$ „ 
ts. : 
0 a . ow” wt 
* 
* * 
. % a by 
* % * y .* _ 
: 
| 
* 
* 4 
* 
* 
- 
* . 
—— 


197 


A TABLE of Logarithme, 


from x to 10000, 


| 


Num Log. Num Lear. N m Logar, 
Fran] |  341.531479 ©711.526075 
210.3003 35 1.544008 68 1.822509 
39.477121 301.5 56302 61.838849 
4b. 50206. 31.568202 7001.845098 
5.6989 70 380679784 7101.851258 
6.77815 2941.291065 2201.857232 

= 7.845098 4. OC 73 1.563423 
$10.9 309 411.6127844 7411.869232 
95.954242 42 1.023249] 75 

1 i. OOO 4311.63 3468 7611. 
111.9041393 44643453 7711. 
12 279151 251.5853212 78 
1311.113943 4511.6*2755 79 
1311.146128 711.67 2098 801. 
Is[1.1760g1 43]1.63124) 81 
1611.204120 45.650156 $211. 
17 230445 58 1.698970 82 . 
1811.255772 5 1.07570 $4 
19 1 278764 . 1.716002 N 85 . 

20 1. 301030 557242760 | V5|1. 

2111.322215 544732394 87 
2211. 34242. 5511.740363 88 
2311.361728 5661.748188 $911. 
2411.280211 571.7655875 90 
25.397940 788 91 
ebe . „ee 
2711.421364 601. 778151 93 
2801.447158 6511.785330 984 
2911.462398 6211.792392 95 
3011.477121 6311.799340 96 
3111.491362 641. 506 180 97 
321.505 150 6511. 81291 | 9911. 
3311.518514 66 99 


1.3195 


W— = 4 


2 
* | md N 
- 


O | I 
100 2-000000/2. 00043 
101%. 0043 2 la. 00475 1| 


10212, 08600/2. 00902 


1042.017033 
1050.021189 


20174512 
2160 


= 000868 conn. 


18 


10312 0128372. 813259 


2.013680 1. 014100 
2.017868ʃ 2.018284 


2.022016]2.022428 


106{2,025306 
1072.029384 
10802. 33424 
19912. .037426 
110j2,041393/2-041787 
111|2.045323 2.04571 
11212-049218 2.049606 
11 3j2-053078 2.053463 
11402 056905 2.057286 
11502. .o60698'2.061075 
11692. 064458 2.064832 
11755 68186 2.068557 


1182 071882 


2025715 
2.029789 


119g 075547 
| 120j2+079181 
12112-082785 


2.075912 
2.079543 


208671 
2.090258 


$912,097 2 571 
2) 100715 


127 2:103804/2. 104145 
128j2.107210 


1202-110590 
1302-113973 


2.0338 2692. 
1. 037825 0 


2 073398 


2.626124]2 2.026533 
2.030195 .0306Gooſ? 
2.034628 
2.038620 
2.042575 
2.046495 
2.0503 80 
2.054230 
2.058046 
2.067829 
2.065580 
2.069298 
2.072985 
2.07664 
2.080266 


2.042182 
2.046105 


2.049993 
2.053846 
2.057666 
2.061452 
2.065 206 
2.068928 
2.072617 
2.076276 
2.079904 


2.083 3144 


| 2993775 2 


21075492. 
2,110926;2 


2.083503 
2.087071 
2.090611 


2.994122 
2. 097504 
2.104489 

10788815 
111262 
2.114611 


2.087426 
2.090963] 
2.094471 
2.097951 
2. 101423 
2.104828 
2. 1082272 
2.111598 


2.114944 


— —— 


1311211727112 
132120574 
1332.123852 
134 43. 127287 
1352.130334 
1362.13 3539213385 


11 20903 
2. 1241782. 
2.127429 
2.130655 
8 


T377.13672112:4200 Þ 25 


24114272 . 
11760; 3. 


2.118265 


11 
444.4 12156c 


121231 
1245 
127752 
139977]. 


2, 
2. 
7. 
2. 


2.128076 
2.131298 


220 


2.083861 


2.1248 3004 


134496 


2. 614520 
2.018700 
2.022841 


2.026942 
2.03100g} 
2.035029 
2,039017 
2.042969 
2.046885 


2.059766 


70 dend 
2.05842 
2.062206 
2.065953 
2.069668 309 
2.073352 
2.07790 
2.080626 
084219 
2.087781 
2.091316] 35! 
2. 094820 
2.098297 
2.91747 
55 105169 
108865 
2.111934 
2.118278 
2.118595 
2.121888 
2.125156 
2.128399 
2.131619 


2. 13481 


2,137987(_31 


— 


Fl 
4 
- 


| * 


— 


from 1 to 10000, . 


100 
101 


Ia 
104 
1057 


— — 


10G 
107 


108 


[it 
JE 


947272 


— 


1214/2 


12:12. 


As — 


2.002166 
2. 006466 
2.010724 
2.014940 
2.019116 
2.023252 
2.02735c 
2 03140 
2.03543c 
2.039414 
543365 


6 


2 


— — 


. 
— 


2.002598 
2.006894 
2.011147 
2.015360 
2.019532 
2.02360g 
2.027757 
2.031812 
2.035830 
I 039811 
2.0437 55 


04.7664 


N27 


2.003029 
2.007J21 
2.01157 


2.015779 
2.019947 
2.024075 
2.028164 
2.032216 
2,036229 
2.040207 
2.044148 
2.048053 
2.051924 
2.05'5760 
2.059563 
612-0633 JI 
2.067071 
72 070776 


(2008134. 


45761]:.084934 


5.74451 
2. 078094 
2.081707 
2.085291 
2.088845 


[2.067443 


2.092370[2.09 272; 


2.003460 2.003891 


2.007 748]2.0c8 174 
2+011993[2.012415| 


2.016197]2.016G15 
2.020361J2.,020775 


2.024486]2.024896 


2.028571[2.028978 
2.03:G19]2.033021 


2.036629 
2.040602 
2.044540 
2.945442 
2.052309 
2.056142 
2.059942 
2.063709 


2.071145 


2.037028 
2.040990 
2.044931 


2.0 4833of 3 


2.052694] 3 
2.056524 
2.0603 20 
2,0640834 
2.067814] 


. 2.074816 


2, 078457 . 
2. 082067 2. 


2.071514] 
2.075182 


2.085647Þ: 


125 


I 2613 
12712. 


128 
29 
4 


131 


1 2412, 


13202. 


119237 


2610277712 


2.109578 
2.112942. 
94+ 
2.11958612. 
2.122871 


13 3]. 


122543 
125806 


13402. 
13512. 


* * bs he 


129045 


13 


2,135451 


| . 138303 Ye 132618 


44 


2,126131 
2, 


3 


[29368 
2+1 322602, 132580 


213876805 
138924 


2.095866 02. 
2.099 3 35j-- 


2.10619112; P 


ante 


2. 129690 2.130017 


2,132900[2. 133219 
.136086|2.136403 


* 


8 


25 13924912. 139564 


— 


— 


A Table of Logarithms, 


O 0 


2.139879 
143015 
146128 
149219 
152288 


2.153362 
1613538 
164353 


170262 
471183 
2.176001 

478977 

481843 

19469 

18772 
222. 


— — 


2.193125 
oc 
198657 
201397 
204120 
206826 


209515 
212188 
214844 
217484 
220168 
222716 


225309 


2827 


167317 


2.140194 
143327 
146438 
149527 
152594 
849 

2.158664 
161667 
164650 
167613 
170555 
173478 

2,176381 
.1 79264 
.182129 
134975 
187803 
498612 


2.193403 


201670 
204391 
207095 
2.209783 
212454 
215105 
217747 
220370 
222976 
225 568 


2.227887 
+2 39449 
232996 
235728 
238046 
240 549 
243038 


2.228143 
230704 
233250 
235781 
238297 
240799 


243286 


2.140508 


1961760 
198932 


2 


143639 
146748 
149833 
152900 
153943 
2.158965 
161967 
164947 
467908 
170848 


1737694 


2.140822 


3 


143951 
147058 
450142 
153205 
2 


n 
2.141136 


144263 


147367 
-15044Y 
153510 
156549 


2.159266 
162266 
465244 
168203 
171141 


2.159567 
162564 
«165541 
18497 
171434 
2174351 


2.47667c|2, 
179552} . 
.152415] .18 
.185259] , 
1880846. 


1917 


201943 
204662 
207365 

2.210051 
212720 
215373 
218010 
220631 
223236 
225826 


— — 


2.228400 
.230960 
233504 
236033 
238548 
241048 


195729 


2.193959 


199431 
20221 

204933 
9 


— 


2.177248 
180126 
182985 
185826 
188647 
191451 


2.194237 
1970805 


19975 
202488 


205204 
202903 


| — 


2.210318 
212986 
215638 
218273 
220892 
223496 
226084 


2.210586] 2 


213252 
215902 
218535 


221153 


223755 
226342 


2.228657 
1221213 
233757 
236285 


338799 


2.228913 
231470 
234011 
336537 
239049 


241297 


243534 


243782 


241546 


244030 


— 


— ²aꝓ1ꝛ˙—¹w ¼ᷣ .___- ". JL ben item] [Ai cDAlNS. A. AO-- Dd. o it. Ao. #. ?7]: ũ 


- 


from 1 to 10000, 


Num 5 
13812.141450/2.141763|2.14207C 
14477 
14767 
1507560 151063 
153815454119 
eee 


2.159868; 
162863 


— 


of .19201C 


_2 ud 3 
144885 
147985 


.14519C 
. 148294 
151370 
154424 


2.160168|2.160468 


163161 
.1661 34 
169086 
172019 
174932 


163458 
16643 


1693 8c 
172311 
7227 
2.17811} 
.18cg98C 
183839 
186674 


189490 
492289 


477825 
180699 
183554 
186391 
189209 


2.194792 K. 195069 


197832 
200577 
203305 
206017 
208710 


2.210853 z. 211120ʃ2.21 1388 


214049 
216694 
219322 
1.221936 


224333 
227115 


a 


E 


— — — 1 —— — 


2.142382. 14270 
44550714581 
148603 
151676 
154728 
177755 


148911 
151982 
155032 
58061 


2.160769 
163757 
.166726 
169674 
172603 
417571: 

2.178401 
. 481272 
184123 
.186956 
18977 
192567 


—————c c_—= 


2.19534612.195623] 278 
.198332] 276 
.201124| 274 
,203848] 272 


198107 
200850 
203577 
206286 
208978 


20655 


2. 161068 
164055 
167022 
169968] 295 
172895 

175802] 291 
178689 
181558 
184407 
487239 
.1GoOOS! 
.192846 


209247 


279 


271 
269] 


2,211654]2 
214314 
216957 
219584 
222196 
224792 


229426 2.229682 
231979232233 
234517234770 
2370410 237292 
239549239800 
242044] 242293 


2445240244772 


232488 
235023 
237544 
240050 
242541 
245010 


21192 
214579 
217221 
219846 
222456 
225051 
2272322 .227630| 258 
2.229938[2.230193 
232742 
235276 
237795 
240299 
242796 | 249 
245266 


267 
266 
264 
262 


261 
259 


256 
5 254 


250 


252] 


248] 


— 


% 


" A Table of Logarithms, 

e r Din [_ 
* For 14 176]2.24551312-245 7 5$[2.246006[2. 24625212.246499| 246 N 
. 1 177] -247973] 2482 f 248464. 248709 248984 245 1 
al 178] .25042 25966 .,250g08[-.2511511..251395] 243 : 
3 i179] 25287325389 is 3380253880 -253822]. 242 | 
; 1800.255272 :255514 255 755255998 .256236] 241 I 
181]..2576-1|..257918]_258158] .238 398} .2<8637{'239 4 
'D i 82]2.260073[2:2603 ic[2:260< 48[2.26787[2.261025] 238 2 
1 183] .262451] .262688 20292727162 -263399] 237 l 
f 184] -2648 18] 20% 265 29g .2655 251. 265764 235 I 
« 185] -267172} ,2672.00 -267641 .267875] -268110] 2344 : 
4 7806.269513 .269 4+ 2699800 270213 270440 233 | I 
| [287271842] 293074 272364 -272538] 372776] 232] x 
g 1382. 2741582 2.274389 2.274620 e IeTLN 230 1 
7 189 276462 . 27669 274925 277151 $o[ 229] , 
z | 190 2787 5 2788, 1279216 +279439 228 . 
; - 191] .28'033] 28126 231488 281775 227 b 
8 192] .283301.283527 26355 283979 226 l 
. * 193285577 287782 2 $6c07 286235 225 
KF 19412.287802 2.288025 2 2.288245 2.28847 223 1 
: 195290035 . 290257 2904800. 290702 222 l 
. 196] .292256| .292478|, .292699] „292920 221 % 
kv 197] +294450} .294687] 1294997} -29512 220 | 
ö 198} .296665| ,296884 +2971 94], + 9232 219 | 
| 19 | 98 | 

_199] -299853Þ .299071| -299289} . 209807] . 218 
| 20012. 301030[2.,301247]2-301464 2.305 f 217 9 15 
| 201] .393196| .303412 30146 303844“ 2x6 | 
202] +305351 356 3057803059 215 | 
2030. 307496. 3097100 .307924] .308137] 308351] 213 | 
204] .309630 309843 310056131026 212 | 
205| .311754|-.311966] .312177| .342389 211 $ 
200] _:343367] <314.078]_:314289]: 4499: pr” | 
| 207.3159 70. 316180“ z. 3163902. 31659912. 209 pp 
2080318063 .318272] .316451] .315689]. 208 5 
| 209] -320146] 4320354] -320562| .320769]. .32097 7], 207 * 
10 -322219] .322426} .322633] 3228391 -323046]-206 | 

2114 .324262] .324488] .324694] .324899] -325105] 205 

2124 .326336] .326541 20g 326950 +327 314] 204 

| 213 328380 328383 328787 328991 +329194] 203 


* 


from 1 to 10009, 


Num 


177 
178 
179 
180 
-181 
182 
183 
184 
185 
185 
187 


258877 
2. 


. 
176. 246745 


249198 
251638 
254064 
256477 


261263 
263636 
265996 
268344 


270679 
273881 


188 
189 
190 
I91 
192 


194 
195 
2 

197 

198 
+} 199] 
200 
204 
125 
203 
ö 204 
205 
206 


— — 


287 
208 
209 
21 

217 
212 
4213 


4 


2-275311 


193 
2.288920 


277009 
279895 
.282 169] 
2844 pt 
28668 


291147 
-293 JG2] -2 
295567" 
297760 
29094 
2321 14 
3042750 
3084250 
18199 
310693 
312812 
22 


NA 


(2233 


0200008 


23023310 


3 
2.24699 
249443 
251887 
254306 
256718 
259116 
2.261501 
263873 
266232 
«268578 
.270912 


2.275542 
277838 
280123 


282395 
e 846 54 


2.289143 
TR 


ao 


-- $0160] 306 


38449 
306639 
308778 
.Z10906 
313023 
315130 


2.317018 
31910 
321184 

323252 
325310 
327359 


2.317227 
-319314 
32139. 
323458 
325516 
327563 


7 


2.247230 
249687 
252128 
254748 
256978 

259388 


8 


— — 


"= 


2-247482 2.247728 


26992 
f 

254790 
257198 


2.261738 
26409 
266467 
268812 


271144 


223404 
2.275772 


.278067 


280351 
282622 
284882 
.28713c 


32932 


222821 126804 


2.289366 


.291591 


2938040 


296007 


298196 298 
300378 


3025472 
3047 
396854 
. 308991 
311118 


273324 
315342 
2.317436 .317645 
319523 
321598 
323664 


TEE 
27767 


22202 BG 
2.261976 
264345 
. 266702 
269046 
271377 
4:37 3090 
2.276002 
278296 
. 280578 


282 2849 | 


285107 
287354 


A. 
2.276232 


25017 
252616 
255031 
257439 


2259333]_2 


2.202214 
264582 


266937 


pt 


269279 


27160 


278525 
280806 
283075 
285332 
282778 


2.289589 
291813 
294025 
296226 
416 


302764 
304921 
307068 
309204 
311330 
313447 
31580 


319730 
321805 
323870 
325926 

327972 


330008 


350595], 


2.289812 
292034 
294246 
296446 


298635 


only 
2.302980! 
305136 


307282 


309417 
311542 


313650 


Des 
2.317854 


319938 
322012 


324095 


3261300 
32847 
12 


— —ͤ—„— 


2380 
2371 


- 


E 


. 


—— 


LAS 
—- 


: 
7 


A Table of Logarithms, 


nnn 


| 


Num 


214 
215 
216 
217 
218 


221 
222 
223 
224 
225 


219] -349444 
| 220 


226 
227 
228 
229 
230 
231 


232 
233 
234 
235 
2304 


| 237 


236 
23 

240 
241 
242 
243 


245 
247 
247 
248 
249 
250 


1251 


_244 


O 


2.330414 
332438 
334474 
336460 
338456 


2.342423 
+344392 
346353 
348305 
350248 
22 
2.354108 
. 356026 
357935 
359835 
361728 
3536¹ 
2.36548 
36735 
369216 
371068 
372912 
2472 
2.376577 
378398 
380211 
382017 
383815 
38 5606 
:387390 
2.399166 
390935 
392697 
3944572: 
396195 
397940 


2 


2.330617 
332640 
334655 
336060 
338656 

340642 

2.342620 
344589 
346549 
348500 
350442 
322325 

2.354301 
356217 
358125 
360025 
361917 

353800 

2.365675 
367542 
369401 
371253 
373096 

+374931 

2.376759 
378580 
380392 
382197 
383995 
385785 

387568 


2.389343 
391112 
392873 
394627 
396374 
398114 


399674 


389847 


2.3308 19 
332842 
334856 
336860 
338855 
340840 
2.342817 
344785 
346744 
345094 
35063 

352568 
2.354493 
356408 
358316 
360219 
362105 
25395858 
2.365862 
+367728 
369587 
371437 
373280 
228115 
2.376942 
37876 
380573 
382377 
384174 


385964 
387749] 
2.389520 
.391288 
393048 
394802 
396548 
398287 


. 
2.331022 


333044 


335056 
337060 


4 
2.331225 
33324 
335257 
+337 260 


339054 


:341939! -341237 


2.343014 
344981 
346939 
348889 
355829 


339253 


2.343212 


347135 
349083 
351023 


35275 
2.354684 


356599 356790 


35850 


3Co40 


362294 362482 
e . A 


2.366049 
367915 
369772 
371622 
373465 
3228 
2.377124 
378943 


380754 
3825570 
3843530 
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35292 


38954 
2.354876 


358696 
360593 


2.366236 
368101 
369958 
3 718 cc 
373647 
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2.377306 


2.389967 
391464 
393224 
294977 
396722 
398461 


«400020 


2.389874 
39164 
393400 
391152 
396890 
398634 


345178 


Dutt. 
202 


202 
201 


200 


199 


198 


197 
196 


195 
194 
193 
— 
192 
191 
90 
189 
188 
188 


400192 


400365 


19771 


— 


—_ 


from 1 to ioo. 


231 


233 
234 
235 
23 


237 375664 


238 2.377488 
239] 3 


240 


2410 
242] . 
2434 
24 4 . 


24 


247] . 
248] . 


24 


250] . 
251 .4 


38123: 
2.343409]? 


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339451 


345374 
347330 
349277 
351216 
£35314 


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2.337629 
333649 


335658 
337659 
339650 


341032 


343605 
345570 
347525 
349472 
35150 
3833 


356981 
35888 

360783 
362671 


368287 
370143 
371991 
373831 


79305 
381115 


| 2202, .355068[2-35 5260 


357172 
35907 

360972 
362859 


368473 
370328 
372175 
3740¹5 


3759 
2.366700 


2846 
2 3776702. 3778522. 


379487] 
3812 


383097 
384891 
386677 
388476 


391993 
393751 
395501 
397245 
398981 


| 


400711 


2.331832/2.3320} 
333850 
335859 
337858 
339849 
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2.34380 

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347720 
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351603 


2.355451 
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3592661. 
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25029 . 


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385070. 

386855. 
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2.390405 2-390582[2. 
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2.344196, 197 


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£353532} -353724]_-353916 


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336259 201 
338257 200 
3402400 199] 


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3925211 17 
398427017 
3960250 175 
397768 17 
399 501 173 


212232 


C 


_- 


A Table of Logarithms, 


* 


* —_— 


| 285 


Num 


253 
254 
255 


; 256 


27 


260 


262 
263 


209 


271 
272 
273 
274 

275 


—— 


261 


O 


40540 
408240 


09933 


413300, 
414973. 
416640 
418301 


419956 420121 
2642. 421604 2 421768 
265 423246 423410 
26 424882 
ö 267] - 
| 268] 


426511 


270 2.431 364 


4329609 
43459 
4361653 
437751 
28333 


276 
277 


1278 
279 
280 


281 
3 


283 
284 


286 
287 
288 


* 289 


2. 440909 
442480 
444045 
$44 5604 
447158 


2:451786 
453318 
454845 
456366 
457882 
459392 


460895 


428135 
* 


I ( 


252 2.401400 2.401573 2.401745 
403120 -403292/ 403464 
404834 40 f, 405175 


406710 


40840 408579 
n e 


410102 


256 2.411620 2-411788 2, 
259 


413467 
415140 
416807 
418467 


«425045 
426674 
428297 
429914 


44870644 


402590 -450403 


2.431525 
433129 
434728 
630395 
— 3 7709 
39490 
4341066 
442636 
444201 
445700 
447313 
8861 


2 451940 
+45 3471 
454997 
456518 
458033 
459543 


2 


———— — 


3 


403635 


4068811. 


413635 
415307 
416973 
418633 
420286 


2421933422097 


423573 
425208 
42683 
428459 
4075 
2.431685 
433290 
.4 34388 
436481 
438067 
4 
2.441224 
442793 


4443571444 


445915 
447468 
449015 
470557 
2.452093 
453624 
455149 
456670 
458184 
«459694 


261048 


417139 
418798 
420471 


423737 
425371 
42699 
428621 
+4 JO2 ( 


43345 
435048 
43664 
43822 
4398050 


2.441361 

«442950 
313 
«446071 


449170 
40˙˙˙¹ 
2452247 
453777 


455302 


456821 
458336 
459845 


2.431840f2.432007 


44762314 


Diff 
2.401917,2.402089 


403807 


413970 
415641 
417306 
418964 
420616 

2.422261 
423901 
425534 
427161 
428782 
430398 


433610 
435207 
436798 
438384 
439964 
2.441535 
443106 
444609 
446226 
7778 
449324 


18 


. 


2.452400 
453930 
4554574 


456973 


458487 
459995 


172 
171 
171 
i 7c 
169 


168 
167 
167 
166 


153 
153 
152 
152 
151 
ISI 


LEO 


— — 


6011051 451.44 


1461408 


Al from I to looo. | 
2 CAE IC 
1 ee 40277 2.402949 172 
1 404149 4043 20 404492 404663 171 
0 405858 406029 . 406199 4063700 171 
0 407561 40%; -4079-0| .408070] 170 
5 409257] -409426] 49.497640 169 
8 | 259] - 419944 _411114|_411283] 411451} 169 
57 258024121600 z 412628 2.412796]2-41 2964/2 413132) 168 
57 259] .414137] 414395 .414472 414639 414806 
1 2600 4158080 415974] 4161404163080 416474 
75 2610.417472 4176380 417804] -417970] 418135 
5 262] .4191 29] -419295] -419460] +419625| 419791 
54 | 263 . 20781 420945 42111 421275 421439 
54 264]2.42242612-422590[2-42275 2.422918[2.423082] 16 
3 265| .424064| 424228] 424391] 424555] -42471 
52 266] 425697 4258600 4260230 42618 426349 163 
92 267] .427324] 4274860 -427648] -427811] .427973] 1602 
1 268] .428944] -429106] 429268] +429429] -429591 
< | 269] .4309559] 432720 4308810431042] -43120J 161 
50 27012.432167[2-432328[2.432488[2-432049 1.432809] 16 
'9 271.4337700 -433939] 434099] +434249| 434409 
92 272.4353660 -435520| -435685] 43584 436003 
56 { 273] 436957 -437116] -437275] -437433] 437592 
90 2741438542 43870 4388 59 439017439175 
57 275] -449122]_:449279] 449437 440594] +440752] 15 
85 | 27612.441695/2-44185 2(2.442009]2-44210012.442323] 157 
56 277 -443263| +443419] 443576044373] 443988] 157 
1 | 278] 444825 444983 .445137] -445293] 445448 156 
5 5 279] 4463820446537 4466920 -4465848] 447003] 155 
4 280] .447933] -448088| 44824204483 443552 155 
5 4 281] 4494780449633 449787] 449947 450095, 15+ 
53 282] +451018| -451172] 45132 .451479]_-451633] 154 
5 3 283/2.4525532-45270 2.45285 2.453012 ·.453165 153 
52 284] 454820 .454235| 454387] 454549] 454692] 153 
77 285| .455606| 4557880459190 45682476214 152 
1 2860.457125 -457276] 4574280 45757 457734 152 
* | 287 .458638] .458789] .458940] +459091] -459242] 151 
— | 288| 4601464602960 460447 460597 155147 151 
1289.461649 4617991 .461948 4620981 .462248 130 


— — 


— 


2 — 
| 


i 


| A Table of Logarithms, 
| | 5 0 I 2 3 Py 


— — — — — 1 — — m 


2902. 46239802.462 54802 4626972462847 2.462997 


= 291] 463893] -464042] +464191} .464340] 464489 
! | 292] 4653830465532 .465680] .465829] .465977 
. 1 293] 466868 . 467016] .467164] ,467312] .46746c 
| { 294] -468347] 468495 468643 -468790] 468938 
.469822| 469969] 4701160 ,:70263| 4704100 147 
2-47129212-471435[2.47158512-4717321}2.471878] 146 

472756 -472903] -473049] 473195] -473341] 14 
298 474216 474362474508 -474653] 474799 14 
299] .475671] 47581/475962 476107 476252 145) 
= 477411] -477555] %%%, 145 
478711] -478855] -478999] 479143 


1 302]2.480007 2.4801 6 491729 2.480438|2.480582 144 
1 22 5 


481443] 4815861 48172 482016 143 
48315 483445 143 


484442] -484584] 48472 484869 142 
.485853] .4 86005. 486147 . 486289 142 
| .487138] .48728c| .487421| 4875630 487/704] 141 


08|2.48855112.488692[2.488833]2.488973/2.489114| 141 


1 .489958] .490095] .490239] 4903800 490520 140 
j -491362] -491502] -491642] .491782 491922] 140 
| 311] 4927600 492900 493040 -493179] -493319] 139 


| 
|; | 312] -494155} -494294] 494433 494572] 494711 139 
| :495683]_-495822] 495960] 496099] 139 
| 31412-496930[2-497 068]: 497 20C|2 497 34412-497482] 138 
4984480 4985860498724 .498862} 138 
4996874998 24] -499962] .50009 
.So1196] .501333] .501470] . 
.502564] .502700| .502837] 502973] 136 
927] -504063| .504199] .504335] 136 
| .505286] .505421] .505557 .Fo5692| 136 
3 | 321/2.506505]2. 506640l[2. 2.506775|2.50691112.507046 135 
| .507991] .508125] 508260 .508395] 135 
-509337] -509471] .509606] .509740] 134 
| .510679 510813 510947 511081] 134 
4 | 325] -511883] .512017] .512150| .512284] +512417] 133 
7 £$13218] .513357 2221 513617 5137700 133 
5149 46] 22 2 


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from 1 to £0000, 


479557 
[2.472025 


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— — 


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2.463 14602. 2.463 290%. 
4647870 
4662744 
4677566 
4692333 
3 


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46612 
467608 
469085 


473487 
474944 
476397 
477844 
4928) 


2. digs 


Ke. 16 tn f 4 


. 
2.489396 


1 


2.472171 


47363300 


47500 
476542 
477989 
479431 
FE 480869 
482302 
48373 
485153 
48657: 
.48798C 


.490801 
.492201 


2.507181 


511215 
512551 
513883 


515211 


493597 
49498 
496376 


COS 


.$10008} . 


5113480 


5126844 


514016 


483127 


_:496514 
2.497897 


475235 


4766871 
4781331 


+479575 
2 481012 
482445 
483872 
455295 
486714 


2.489537 
490941 
492341 
492737 
495128 


499275 
500648 
502017 


503382 


«46523 
46671 
. 468200 
.469675 


81471145 


— r 
2.46374 


150 
149 
149 
148 
147 


147 


7412 47261 


:479719 
2.481156 
.482588 
484015 
485437 
486855 
_ 488269 


2.489677 
491081 
492481 
493876 
495267 
496683 
2.498035 
499412 
50078; 
502154 
503518 


504743 
5 o60 


2.50745 
5086644 


51534151 


504878 
106234 
. 507587 


47409 
«475526 
476976 
478422 

479863 


146 
146 
146 
145 
145 


| 144 


2.481299] 


482731 
484157 
-485579 
.486997 
_£488410j I 
2.489818 
491222 
492621 


940150 13 
6 


4954⁰ 


4962910 13 


2.498173 
499550 
500922 
50229 
503654 
505014 

_:506370 


144 
143 


2.507721 
5 0go68 


510411 
511750 
513084 
514415 


51574 


7 - 


J 


111 


| A Table of Logarithms, | 


—_— 


| Tag > : 1 4 Diff 


— 112 — 
— :. — 


2.515874 ff· S 1600. 51613902. 51627102. 5 16403 132 
571905173288 5,1759 57724/1732 
330.5185144 .518645 518777 518909 519040 131 
| 331] 51982619958. S200 202210520352 131 
332] -521138] 521269] .52140c} -521530| .521661| 131 
3331_-522444]_522575] .522705] 522835 92296613 
33412-5237462-52387C]2.524006]2.524136]:.524266| 130 
335] -525045] +525174] 525304] -525433] -525563| 12 
| 334 -526339] -526468] .526598[ .526727] .526856] 12 
337] -$2763c| -52775s] .527888] -528010] .528145] 12 
338] -528917] .529045] .529174] 529302] .529430| 128 
INT -$30328| .5304<6] -539584]_.530712] 128 


340[2-531479]2.531607[2.531734[2-531862]2.531989| 128 


| 532882] .5330og| -533136] .533263| 127 
+534153] -534280] -534407] 534534] 127 
| 5352948354210 .535547] +535674] 535800 12 


| 2.539070[2.53920212.5393 2712-53945 212-539578] 125 

540329] 4540455] -540580| 540705] -540830] 125 
541704 5418295419530. 542078] 125 
5428258429500. 543074 5431995433230 124 
; 350] -544068| .544192] 544316] -544440] 5445640 124 
| 351] -545397] -545431] -5455541_:545678} 545802] 124 
35 2]2-546543[2.546666]2.546789]2-54691 3]2-547036] 123 
13531547775 e 54929 5481445482660 123 


22 
+ 


354] +549003] 549120] .549249] -549371} + 
355] -550228] .550351] .550473 11 50 
3 


356] 88145651872 81694085181 
357] -552668] .552790] .552911| -55303 
358] -553883] .554004 554126]_-$54247]_+554368 
359Þ-555094Þ2-555215]2-555 3362-55 5457255557 

| 360] -556302] .556423] .556544| -556664| + 
361 
362 
363 


557507] -557627] +557748] 557868] + 
| .558709] .558828] .558948] .559068] - 
| 559907] .560026| .562146]| .560265| . 
364] -<61191] .561221] .561340| -561459| + 

562293 630 5625311 . 562650 562768 


. 
- - 
as dt Ge Rds eden it. on ie. ot 
* 


1— — — ß 1 — —ꝛk̃ ——ͤ— — 1 —̃ä (L ___ 


| 331] 520483. 520614 .520745] 82087 
33225 522226 523350 -523486} 82361 


1SDOSS0O00O0O mm |- ww Þ 1 wo os wh Hp eee 


from 1 to 10000, 
5 6 7 8 


32 517853 517987 518119 5182510 - 
330] -519171] .519303] .519434] -519565] .51969 


332] 217925219221 .522053] .522183] .52231 


33412-5243961[2-5245261]2.52465612.524785[2.52491 
3351.525992 4525822] .525951] -526081] .52621 
336] 4526985] -527114] .527243] -527372} . | 
3371.528274] +528402] 52853152866 
338] -529559] -529687] .529815] -529943] .530072 


| 339]_-530840]_-5 30968] .531095} .531223] 531351 


349]2.53211712.5322451[2-532372[2-532500[2.532627 
34] -533391] -533518} -533645] -533772] -53389 
342] 534661] .534787] -534914] 535041} . 

343] -535927] -536053] -536179] -536306] .536432 
344] -537189] -537315] 537440 -537567 $3709g]. 12 
345]_-$38448] -538574]_-538699] -538825] .538951| 126 
3462-5 39704|2-5 398282.539954[2-549079[2, 5402 | 
540955} -54108c| .541205] .541330] .541454 
5422030 -542327] -542452] -54257 
$543447] -543571] -543696] 543820] .543944] 1 
544688 5448 125449360 -54506c]| . 


55084 
55205 
55327 
85 — 82 
3592.855869 2.556182] 120 
556905 557387 120 N 
558108 558589] 120 
+559308 559787] 120 
363] -560504 560982 11 
561697 5621741 119 
562887563006 63127 62244 


„ _— 


A Table 


. 


2.584444 
585573 


58331218 
2.584557 


.58670 
587823 


160433 


96159812 


288 597914] :599224. = 
2.598900[2.5 99009 2.5991 19}2-599228 


21 
605413160552 605628 60573 


of LogarithMs, _ 


2:5778362-577951 
5789831 579997 
580240 


585686 
586812 
587935 
589055 


592510 592621 
593618093729 
59483 


592399 
593808 
5946130947 
5957175 
596817 595927 


600101 
6011904 


28982 2 


A 


from 1 to 100050, 


6 AS kg. 

es T1 = 3 

565375] +565494| 565612] .56573c 
566555] -566673| .566791] .56690g 
567732] -567849| .567967] -56808 
.568905| .569023| .569140] -569257]| 
| 37] 569959} -$79079) 579193] 570329} :572420] 
| 37212.57112612-571243[2-571359]2-571476[2.571592 
373] .572291] -572407] -572523| -57263 
374] .573452| -573568| .573684| +5738 
375] .574610| -574726 515998 57495757502 


3761.575765 575880] -57599 
377] .576917|_-577032] -577147| 577262] -$77377 
378]2.578066|2.578181[2-578295[2.57841 
379] -579212| -579326] -579441] -5795SS} - 
380. 580355 -580469| 580583] .530697] . 
| 381] .581495| -581608| . 5817225818361 
382] .582631] -582745| 582858] .582972] - 
383] .583765| -583879| 88399 -584195] -58 
38412.58489612.585009[2.585122[2.585235]2-5853 48 
385] .586024| -586137 5862500 .586362] .586475 
3860.587149 -587262]| .587374] -58748 
387.5882721 .588384| . 
388] .589391] -589503 
389] .590507]_-590619] - 
39012.59162112-591732 
397] 592732] -592843] - 
392.5938400 -593950] - 
393] -594945] 59580550 
394] -596047] -596157] - 
395] +597140] -597250} 
394] .598243| 598353] - 
397Þ-5993 3712-599446 
398] 600428 .600537] .600646] .600755] .60086 
3991.601517 .601625 601734] .601843] .601951 
4001 .602602] .602711| .602819] .602928] .603036 
401.6036850 .603794] .603902| 604010] .604118 
402] .604766| . 604874 604982 605089] .605197 
4031.605843 605951 .bobogg 606166] .606274 


D 


— 


| 


—— 
E * 


— — 


| 


A Table of Logarithms, 


| —— —— 


£2 JE 
2.60638112.606489 2.606 FTE 


O 


607455 
6085 26 


609594 
610660 


1 41 
| 420] 623249 


2.612784 
613842 
614897 
615950 


418 


.617000 


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607562 
608633 
60970 
610767 


615003 


616055 
6171056. 


60766 


608740 
609808 
6108731 
6117231611829 . 6119360 


2.612890 2.612996 2.613102 
613947 


62117 
622214 


624282 


4222.625312 


2.619093]? 
_ 


2.625415 


627468 


629511 


63356 
63558 


626443 


630529 


| 428/2.631444]3-631545 
632558 


| 618257 


-619198/2.619302]2.619406 
.620240| ,6203 
.62y280] .62138 
622318 ,622421 
623353] .623456] .623559 
624385 624488 


618362 


4 0 


2.606811 
.607884 
608954 
610021 
611086 
612148 


2.613207 
614264 
615319 
616370 
617420 
618466 


2.619511 
620552 


62159 


622525162262 


624591 


2.625518 
626546 
627571 
628593 
629613 
630631 

2.631647 
63266 
633670 


634578063467 


635685 


6365880636688 


641573 
642563 


643551 
644737 


.637690| .637790 
2.638689[2.638789 


£39300 
640581] 6 


.63968 

40680 
641672 
642662 
643650 


2.625621 
626648 
627673 
628695 
629715 

630733 


623663 


2.62572 
626751 
627775 
628797 


2.631748 


632761 632862 


633771] 633872 
634779634880 
6357851 635886 


636789 


639785 
640779 
641771 
642761 


636889 


2.638888 
639885 
640879 
641870 
642860 


64374 


629817 
630834 
2.631849 


828900 « 


643847 


103 
2 


103 


644635 (644734 644832 


Dee 


Fo ISS Car ou TIT © 


[— FI 
— —__— 


| 


* 


— 


from x to r0000, 


9 


: 


406 


434 


494 
495 


407 
408 


409] 612254 


410 


411 
412 


4730 


114 
415 
41C 
417 
418 


Num 5 _ 


2.606918 


607991 
609060 
610128 
611192 


2.613313 


614370 
615424 
616475 
617524 
618571 
2.619615 

620656 


6216951 


623766 
624798 
2.625827 
626853 
627878 


E 
4802.631951 


429 
430 
43! 
432 
433 


.628900 
-62991 


530936 


632963 
633973 
634981 
635986 
63698 


832990 638090 


435 
436 
437 
438 
43 

440 


441 


2, 2.638988 2 .639088 


.63998 


.640978] . 
6479700 


64295 


6439466 


644931 


6227321. 


6 


2.607026 
608098 
609167 
610234 
611298 


2.607 133 


512360 
2.613419 


6144751 6145817 


61552 


6165800516635 


617629 617734 
618675 618780 


2. 619719 2. .61982 


.62076c 


7 


608205 


609274 
610341 


611405 
61 2460 .612; 


2.613525 
615634 


—- —— . — 


2.607 24002. 
6083124 
6093810 
6104474 
6115116. 
612572 


6173839 


62086 


62293 
623972 


624076 


625107 


2.613630oſ2. 
6146866 


6157409] - 
616790 


617943 


_-618884| .6 


2.619928[2.62 
6209681 
621903 622007 
6230421 


— — — — — — — — 


2.62592 2.62603 202.6267135 . 
6270580627161 
6281844 


62695 
62798 
629002 
630021 


rend 


2.632052 
633064 
634074 
635081 
636086 
637089 


640084 


645029 


628082 
.62910 


.630123| 63022 
63113 


2.632153 


633165 


634175 
635182 


6292 


631241063 


2.63225 fz. 
6332660 


634276 


6352831 


636187 
63718 
838190 


63628714 


63728 
638289 


2. 639188 2 — — 
640283 6 


640183 
64117 
642168 
64315 
644143 


647127 64 


6412761 


6422676 


643255] - 


644242] 644 


51261 


— 


D2 


it 


OO — 1 — _EIRwWwWCCS 
_ — _ — - -- 


114 

: 

l 

[ 
5 

1 
10 
=: 


— — 
— 


— — 


A Table ot Logarithms, | 


7+. 


459] 661313} 


4602.668386 


467 


6665 18 


2.651278 
652246 
653212 
654176 
655138 


6098 
2.657056 


658011 
658965 
659910 
660865 


2.662758 
663701 
664642 
665581 


667453 


669317 


* * 
1 


an -—- 


2.045520 2.645619 


.646502 


649432 


2.65375. 


653309 


2.657161, 
658107: 
659060 
660 
6609601 


66190782 


66473 
665675 


_:667546 


.67024 


6711731671265 
672098 67219 


673021 
823942 


82403 


64 481 
648458 


05 50405 


65427 } .654369 
655234 -6 
850 19g; B50300 


| 


2.66285 22 662947 
663795 663889] -663983] . 
6648300 664924] . 
6657680 
„666612 $9703 ; 
2 2.66847 2. 6685 
6694100 669503] . 
670339 -670431] - 
671358]. 
6722830 
673113 673205 6 
674126 


N 
64660 
647578 
676555 
64953 


1 
2.051472 


652343 52440 


653405 


58331 


3 


4 


2.645717 
646698 


646653 
649627 
680599 


£47070 64777 


648750 


2.645815 
64679 


649724 


650696 


2.651569 


654465 
655427 


2.657247 
658202 


200 


6636 


2.65 166 
652536] .652633 
653502] .653598 
65456 


| _:656386 656481 
2-057 343(2+657438 
.658298] .658393 


| 659155! 659250] 659346 
.66010 


655523 


472.6630412 6631350 94 


— _ 


_93 


2.674861 2.67495 3/2-675045 


47 


477] 578518 
478] -679428| 
1 479 .680335' 


67587 
676785 
67769 
67860 
67951 
— 


675961 


676876 


67778 


. 


6760531 
676968 


677881 


6787000 . 678791 
6796100 . 679700 


680517 680607 


679791 


680698 91 


67797 
667888 
8 


” 


1 to 10000. 


A 


2.645913 

646894 
1647872 
648848 
649821 
650793 


2.651762 
| .652730 


.653695 
654658 
655615 
82 


658488 


661339 


479 56228; 
4602.663230 


664172 
665112 
«+66605c 


from 
— ” 
2.646011 


646991) 
647965 


.65089c 
2.651859 
652820 


653791 
654754 
6557¹4 
3 


2.6575 3412-657625 


658584 


.659441]} 6595 3( 
660391 .660486 
44 66152 


66143 
8662380 
2.663324 
66426 
665 206 
666143 


66707 


2C| .668013] .66810 
2.66885 2]2.668945[]2.66903 
669874669967 
.670802] 670895 


648945 
64991 


[<4 8 


648067. 


2.646109]2.646208]2. 
647089 .647187] - 


65001 
65098 


65292365301 
653888 653984 
65485 
65581 
65676 
2.65772 
658679 65877 
659631 .65972 
660581 64067 
661623 
662569 
2.663512 


65590 
£656 


66247 
2.66341 
66436 
655299] .665393 


.666237] .666331 
66717316672 
668 


664454 


2.651956 “2.65205 302.6521 50 
653116 
654080 
6549460 -655042 


65600 7 


658070 
659821 
660771 
661718 
662563 
2.66360 
664548 
66548 
66642. 
667355 
668293 


671821 
672744 .67283 
673666673758 


6745860624627 


676328 


677242] 6977333 
1667815 
679064679155 
.679973] 680063 
680879 .680970 


2.67550312-675595 
.676419] .676511 


2.66913112.66922 
670060 .67015 
.670988] .67108c 
.671913] .672005 


672929 
673850 
_:674769 
2.675687 

.676602 


67742 
67833 
67924 
68015 


678245 


677516 
678427 
679337 
680245 


68 1060.681151 


656960 
2.657820]2-65791C 


g 


[ 
| 
| 


— 
— — WH 


3 : 


— — 
\ „ 


4 


— 


ä—— — ——— 


—— —. A 
m 
— > 


— 
— 
2 


— 
= — 
— — M — ” 
—— Al —— — — 
* - 


————— 
. 


—— — 


„ 
— 
— — — —  - 


„ 
— q www 


A Table of Logarithms, 


— — 


Num 


O 


480 
481 
482 
493 
4 

485 
486 


487 
488 


490 
491 
492 
493 
494 


497 


495 
49 


2.681241 


.682145] . 
.683047] . 
683947 
6848451 


685742 


I 
2.681332 


— 
2.681422 
682326 
683227 
684127 
685025 
685921 


2.686636 


6875 29 
688420 


489] -689309 


.690196 
.691081 
2.691965 
.692847 
693727 
694605 


695482 
96356 


49% 
499 
Fo0 
501 
502 


503 


510 


504 


2.697229 
.698100 
698970 
699838 
70070 


701568 
2.702430 


905 
50 


509 


703291 
704150 


507] .705008 
508] .705864 


706718 
707570 


511 
512 
513 
514 
FIS 


2.708421 
709270 
710117 
710963 
711807 


a 
\517 


712650 
213420 


2.686726 
687618 
688 50 
689398 
690285 
691170 


2.692053 


692935 
693815 


694693 


2.686815 
.687707 
.688598 
.68948 

690373 
691258 


683317 
684217 
685114 
686010 


2.686904 


687796 
688687 


689575 
690462 


691347 


— 


e Diff 
2.681513]2.681603] 90 
6824160 .6825 9⁰ 


683407 
684307 
685204 
68600 


2.686994 
687885 
688776 
689664 
6905 50 
691435 


2.692142 
.693023 
693903 
694781 


695569695657 


696444 
2.697316 
698188 
699057 
699924 
700790 
701654 
2.702517 
703377 
704236 
705094 
705949 
706803 
222575 
2.708506 


7093556 
7102020 
7110481 
7118916 


-696531 


2.692230 
693111 


693991 
694868 


695744 
696618 


2.692318 
69319 
694078 
69495 
695832 
69670 


2.697404 


598275 
699144 


5700011 
700877 

701741 
2.702603 
703463 


2.697491 
.698362 


599230 


7oo9g63 
2701827 
2.702689 
703749 


704322 


112734] + 
113574 - 


704408 
705265 


712902 
713742 


2.697578 
698448 
699317 


.700098] .70018 


701050 
21217 
2.702775 

703635 

704494 

705350 

706205 

707059 


2.2 


2.708761 
.709609 
71045 
711301 
712144 
712986 


713836 84 


from 1 to 10000, 


505 
506 
507 
508 
509 
1 
511 


5126 
5131 
5140 
SIS} - 


703721] .703807 


116 
517 


— 


7038933 
704751 


705607. 


706462 
7073151. 


7016. 


N 7 1 
4380 2.681693|2.68 178412-68187412.65196412.652055 
481] + 682 682777 682957 
4821 683677 683857 
4631 684576 684756 
4844 685473 685652 
4399. :686398)_-685457) -686547 
486 2.68726102.687351ʃ2.687440 
4871 668815360 688331 
4880 6890422 689220 
489] - 6899300 690107 
4900 6908160 690993 
2959 E He 691877 
49212. 2.692583 2.69267 10.692739 
4930 693463 693639 
494 694342 694517 
495] - 695219 695394 
4960 696094 696269 
497 _:696965| . 697142 
498 2.697839 2.697926 2.698013 
49 698709 698883 
50. 699578 699751 
501 7⁰οH,ẽ,jãx - 700617 
502 701309 701482 
523] -701999] .702086] .702172! . 202344 
50412.70286112.70294 71270303 31:2. 


2.703205 
Jogos? 
704922 
705778 
706632 
707455 


2.70901 512. 
709863 «JF 


710710} . 
711554} . 
712397 


713238} . 
7140781714162 


705336! 
709190[2.709185 
171003 


718679 
711723 
712565 
713406 


714246 8. 


A 


— IS — — 


43 


* — = —_ - 
- as __ — 
- 
: 34. - 


— xn 
—— en — OE. 


* 
2 „*— 
= 


— 
8 


. 1 
21 
_ HOT oww_——_—___ 
- = 
— 


. 
— — * 


- 
— ES 


=Y 


— —w— 


= — — 


ſj A Table of Logarithms, 


Nun I 2 4” £58. 2 BOY Wl - 
51812-7143302-71441412-714497[2-714581[2.714665| 84 

715167] 715251] 4715335] -715418| .715502] 84 
716003. 716087 7161700716254 .716337] 83 
7168387169210 .717004| -717088| 717171] 83 
717754 -717837] -717920) .718003] 83 
718505] -718585] -718668) .718751| 718834] _ 8; 
412-7 19331127 194 1412-7 19497[2-719580/2.719663] 83 
720242] 72032 -720407]| .720490] 83 
7210680 721157212331 .721316| 82 
57 721975 7220580 .722140| 82 


7227980 7228810722963 82 
561 723538] -723620_-723702] .723784|_82 

2.724358[2.724449[2-724522([2.724603] 82 
| 725176] .725258] .725340] .725421 $2) 
| 5321725912 +725993] .726075 726156 | 726238] $2 | 


5331.726727 -726809] . 7268900 726972} .727053| 81 
534) +727541] 727623727704 7277850727866 81 | 
4 _$351_:7233541_-728435 728516] +728597] .728678] 81 

4 536]2-72916512.729246[2.729327[2-729408[2.729489] 81 
$37] -729974| -730055} -730130) .730217] .730298 81 


538] -730782| -730863] .730944| -731024| .731105| 8! | 
| 539731589 731669 731750 7318300731911] 81 EE 
540732394 732555 7326350732715 $9 


541_-733197] -733277]_-73335_:733438| +733518 80 
$422-7339992-7 3497 9 f. 734159. 734240. 7343200 50 
$43) 7; 73496 735040). 73 51:00 de 
545] 7363960 | 
544 +737193] +737272] 473735=| .737431| .737511] 7 
5471 -737987] -738067] .738146] .738225! .738305| 79 | 
7480-238780 .738860| .738939] 798 739097] 10 | |; 
54912-7395 7212-73965 12.7397 300.7398192 739909 79 | 
55c| 740363 74044274052 70899 740678 79 
551] +741152] 741230741309 541358, 741467 79 
552] -741939] -742018] .742c96 Fey 175! 742254] 79 
$53] 742725742804 742882742967 .743039] 78 
5547435100 743 5880.743666. 7437407438230 78 
6551] -744293] · 744371 -744449! 7445280 . 7446 78 


— — 
, 
I * 


7357597358380 735918 00 
7365 56.736635 7367150 8c 


k 
5 
8 
5 
3 
F 
— 


trom 1 to 10000, 
[Num __ 5 | 6 | CLILS> 1, 5: 
5182 2 27147492. 71483202. 714916 2.715000[2.715084] 84 
519 -715586 718669 715753 71583607159 20 84 
52 7964210716504. 716588 7166710716754] 83 
521 717254 7173380 7174210717504 ae 83 
522 718086718199 . 718253) 718336071841 83 
$23; +718917] 719000] .719083; -719165] .719248 5 
7242. 719745 2.7198282.7199112.719994ʃ2-7 20077] 83 
525 7205730 7206557207380 7208210 7 20903] 83 
526, 7213980 7214810721563 . 721646721728] 82 
5271722222 .722305 722387 722469 722552] $2 
5280.723045 723127 723209 723291] 723374] 82 
29, -723866] .723948|_724030| .724112| 724194] 83 
5 3012-7 24685]2- 72476712 72484912.724931[2-725013] 82 
531] 725503] -725585] .725667| 725748] -725830] 82 
532] 726320] .726401| 726483] .726564| 726646] 82 
' $33! +727134] -727216] .727297] 727379] -727460\ 81 
534 -727948] -728029] .728110] .728i91] -728273] 8x 
335 228759 2288410 728922 729003] 29084] 81 
536 2.72957 953. 7296511[2.7297321[2.72981 3]2-729893] 81 
537, -739378| -730459] -739549] 730621] -730702] By 
538, 7311861731266 .731347] 731428 725 81] 
539 7319910 7320721 7321527322331 732233] 81 
54.732796 -732876] 732956 733037] 733117] 8 
FFP 
| 742 2.73440 012.7 34480 zZ 734560 2.734640ʃ 2.734720] 80 
$43] * 135200] +735279] -735359] -735439] -735519] 8 
$44, 735998] 736078] .736157] .736237] -736317] 80 
5451 -736795] 736374] 736954] +737034] -737113] 8 
| $46; +737599} 737670 -737749| 737829] -737908] 7 
| $47) +738384] 7384630738543 -738622| .738701] 7 
_$48'_-739177] 739250} -739335}_-739414]_-73©493}__79 
©49/2.73996812.74004712.740126(2.740205]2.7 402584] 7 
550} 740757} +7498 30] 740915} 740994] 741073] 79 
551 741546741624] .741703] -741782] .741860] - 79 
| $52} +742332] +742411 7424890 74256874264] 7 
| 553174318 743196 74327/743353 -74343i] 78 
| | $54) -743992] -743980| .744058 $7441 30] -744215} 78 
| $551 743684) .744762) .744840' -744919' .744997] 78 


— 


— 


————_— 
— — 


h 
: 
"# 


_ — — 4 


r A = 
_ 2. - 323 Re — 4 
„ Def ESR I ae rc 
— \ Y - — 2 2 1 


— 


A Table of Logarithms, 


O ' 


Num . 
5562.745075 
557745855 
5581746634 


747412 
748188 


24890 


592 
$93 


2.763428 


2.749730 
150508 


B% $4 
7450933 
746712 
747409 
748 266 
7 49040 


2 74981 
75058 


751279 


764176 
764923 


766413 
767156 
267898 
2.768638 
769377 
770115 
770852 


771587 


772322 


751356 


7520481752125 
7528166752893 


25388753682 
2.75434802.7 54429 


755189 
755955 
756712 


1757472 
ze] 758306 


759743 
760498 


66761251 


762003 
:702754 
2.703593 
164251 
-764995 
765743 
766487 
767230 
797972 
2.768712 
769451 
77018 
770926 
771661 
772395 


«773055 


773128 


2 


3 


4 


[2.74515312.7452312-745309 


-746011] .746089 


74679 
747567 
748343 
_:749118 
2.749891 
+7 50663 
751433 
752202 
752970 
-753736 


746868 
747645 
748421 
249195 
2.749968 
750 
751510 
752279 
753047 
253813 


2.745387 
746167 
746945 
747722 
748498 

2149272 

2.750045 
750817 
75158, 
752356 
753123 


288890 27 


2.754501 
755265 
756027 
756788 
757748 


2.759063 
759819 
760573 
.761326 
762078 


2.763578 
764327 


.765072þ| . 
765818] . 
7665621. 
767304 . 


. 768046 
2.768786 


-769525 
770263 
770999 
771734 
772468 


2.754578 
755341 
756103 
756864 
757624 
758382 


— —-— 


2.754654 
755417 
756180 
«7 5694c 
75770 


4 


2.759139 
759894 
760649 
761402 
762153 


252829 2904 


2.763653 


2.768860 
769599 
770336 
771073 
771808 
772542 


773201 


22274 


764475 


2.759214 
759970 
760724 
761477 
762228 


2.763727 


765221 
765960 
766710 
767473 
76819. 


| :762978]__75 


2.76893. 
769673 
770410 


771146 
771881 
772615 


7773481 73 


73 


— 


Ts 


„ a or wo To. TW. 


. 


E 


ͤ—ü—ü—U— 


from 1 to 10000, 


Jun 
556 
557 
558 
559 
560 
561 
562 
563 
564 
565 
566 
567 

568 

56g 

570 
571 
F72 

373 
574 
575 
576 
$77 
578 

I.. 

580 

581 

582 

583 

534 

585 

585 


4 
2.745465 
746245 
747023 
74780 
748576 
+749350 
2.750123 
750894 
751664 
752433 
75320 
-753966 
2.754730 
755494 
756256 
757016 
71777 
288 
2759295 
760045 
760799 
761552 
762303 
-763953 
2.763802 
764550 
76529 
766041 
766785 
767527 
768268 


587 


2.769008 


588 
589 


591 


5900 771220 


592 772688 
3593 773421 


769746 
770484 


771955 


6 


2.745543 
746323 
74710 
747878 
748653 
749427 
2.750200 
7580971 
751741 
752505 
7353277 
£75 4942 
2.754807 
755775 
756332 
757092 
757351 
753609 
2.759366 
760121 
760875 
761627 
762378 
763128 
2.763877 
764624 
70537 
766115 
766859 
767601 
-768342 
2.769082 
.769820 
770557 
771293 
772028 
772762 


1 
2.74562 
7464⁰⁷ 
747179 
747955 
748731 
-749504 
2750277 
751048 
7518178 
752586 
753353 
28119 
2.754883 
7584 
756408 
757168 
757927 
25868; 


8 | 


9 


2.745695 
746475 
747256 
748033 
748808 

2492 

2.750354 
751125 
751895 
752663 
753738 
274195 

2.754960 
755722 
7564834 
757243 
758003 
25876 


2.75944 
760196 
760950 
761702 
762453 
263203 
2.703952 
764699 
765445 
766 190 
766933 
76767; 


2.7691 56 
769894 
770631 
771367 
772102 
772835 


768416] 


2.759517 
.760272 
761025 
761778 
762529 
251278 

2.764027 
764774 
765520 
766264 
767007 
767749 
258490 


2.769230 
769968 
770705 
771440 
772175 
772908 


773494 


773567 


773640 


2.745777 
74756 
747337 
7481 
748835 


2.750431 
751202 
751972 
75274 
753506 
n 
2.75503 
75579 
756560 
757320 
75307 
7288835 
2.759592 
760347 
761104 
761853 
762604 
273353 
2.764101 
764848 
765794 
766338 
767082 
767823 
768564 
2.769303 
779042 
770778 
771514 
772248 


772981 
773713 


E 2 


749659 


\ Table of Lnga ithrrs, 


work oy 13 4. E 
594.7378002. 738600. 3933. 774% 3 
55 - 5 . | i) 

59 | -773517] -774599] -7746631 774736] -774809; 73 
590 775240] 775319] 775392} 4775495] 7755380 73 
597] 775974] 775947] 776120] .776193] +776265| 7; 
598| 4775791] 776774 7768460776915. 77699 73 
Dee eee 22 
ocz. 7781512778224 77829602.778 365K. 778441 72 
6010.778874 77 7790779997793 72 
602.7795960 779559 7797410 .77986130.779835 72 
Go; 780317 780389 780451 780533 782605 72 
604] -781037] .78i109] .781184i) .7312535] 781324) 72 
60 817551761327 781899 731921] 7820.12 75 
606|2.782473(2.782544/2.7$2616 2.)52668/z,782549 72, 
607| 783189 .783260| .783332] 783403 783475! 71 
608] .783904] .783975| 734046, 154118] .784189, 71 
609] 784617784689 784750 784831 784902 7 
G1c| 785330078549 785472 7855430785615 71: 
611] -786041786112] .786183) -786254) ＋8 71 
612]2-78675112.7682212.78-893'2.7 65964. 2.787035 71 
6131.787460 7875310787602 7876731767744 71 
6144.788168 788239 788310 7863616783451 _ 
615] .788875| .783946| .759916| .709057, ,789157} 7) 
616] .789581] .789651] .-897 22} .789792] 7898630 70 
617] -790285| 790356] .799425] +799496| .790567_70 
61812.790985812.791C<92.79i12912.791199]2.79 1269] 780 
619] .791691 791761 791631] 7919010 7901971] 7c 
62.792392 702462 79253 .792602| 792672; 70 
62:| .793092| 79 162079323 .793301] .793371} 70 
22] .793799] . 79356c| .79393% -7940cc| .794070] 70 
623] 7944880794558 79462794797 -794767] 70 
624] -795155| -795254! -795324]_-794 393] _-795463' 25 

— _ + a 

625]2.795 $80/2.795949/2.796019j2.7g6088|2.796158 69 
62600796574 796644 7967131796782 793852 69 
627.7972680 .797337/ 797406 797475797545 69 
| 626 797960 798029 7980980 798167 .798236, 69 
629 798651. 7987200 798789 7988580 798927 69, 
6307993410 799409 .799478; -799547| +799616| 69, 
631! .800029] .80-098 8001671 8002361. 8003051 69 


— 


—_JA 


© 
* 


2 — s. * 
| from 1 to 10000, ITS 
Num. .. mh rey wg me 
594% 7742.774225. 774298 2. 77437112-774444] 73 
| 595 774882; .774955| 775028 775100} 775173] 73 
596 N 775009 775756 1758291 -775902] 73 


| 5697 | 7763387764110 ,776483' 776556; 722845 73 
598. 777 064 . 777137 777 777262 717354 73 
399 —. 277789 777862 .77 2225934 228006778079 72 


600 2.77851 ʃ 2. N 778658 2.7 2.7 87302. 778802] 72 
| Go1] +77923%, .779308 779380 .779442; 779524 72 
60277995357 .780029 780101, 780173! 405245] 72 
| 603 «780677; .780749, .780821 780893 760965; 72 
boa «701390; 7561463 781540 731612. -781684, 72 
| Gor! 382114 482186 782253 282329. 2824010 72 


62.7883 312. 82902 2.782974 2.793046 2.763117 722 
| 500 63744 783618 783689 783761 763332 71 

| G06! «764261} 704332, «784403 784475 7845460 71 
| 609! 7849741785037 7851160785187 785259] 71 
610 7856866785757 785828 785899 7359700 71 
G1 G11 796396, .786467, 786538 786609: jj $CC80! 71 


4 4 — 


—— —EÜͤ—ͥ—̃ 


6722.77 10652. 787177 2.787248 2 7873192. 2.787390 71 
673 7878151 787885 7879560 788027 .788098] 71 
614 7868522788 593 .788663! 788734788804] 71 
615789228769 299 789369 789440 7895100 71 
616, .789933! -790093! .790074; .790144; 750215] 70 
637] .799637 799707 +7907 778 2 _:7g0918] 70) | 
61863. 7913400279140 2.791480 2. 191550 2.191620] 70 iT 
' 619] 792041 792111 792181 792252 792322 | 
| G20! .792742) -792812; 92882 792952 .793022 
C21) 4793441! -793511| .793581} 479365 1| .793721 
[998 794139! 794209 794279; 7943491794418 
623] -794836! -7949%6| .794976. 7950450 795115 
(_624/_-79553+ 7950 .795671 79874298610 
6252.796227 2.796297 2 796366 2. 7964362.75 96505 
6266.796921 796990 79760 2 707508 
627797614 797683 797772 7978210797890 
628 798305! 7983 74 798443 798512 796 862 
629 .798996. 9 799134 799203 799272 
35 759754 799823 79989279996 
631 800373 .800442-..800511 . 800580. 800648 


— . ]§‚§Ü—Ü ̃ 7 Ä ]7⏑§«Æt?‚ on 


253 —— —— . ˙ — 


A table of Logarithms, 


6: 


639 


— 


O 


803457 


-$04139} 
63 9. 2 904821 


80g co 


2.85071 752-80078 A 
801404) 801472 
.$02089] 892158 
802774 802842 802910 


803525 


$04208, 


.806180 
806858 
807535 


809560 
810232 
810904 
811575 


651 
652 
653 


3812245 812312 
8507 81291312. 812980 2.813047 


.813581 


.$14248} .814314 14381 


814913 


654 
655 


8155781 


816241 


656 


657 
658 


659 


6<0} .$19544 


661 
662 


664 


2. $16904/2 816970 2 617036 
81763 1. 


817565 
81822 26 
31888 ; 


2. 804889 2.804957 
805 69 805637 


856248. 
8069265 
807603 


801541 
802226 


803594 
804276 


805316 


805994 
207670 


3803211 808279 898346 


820201 


820858 


2. 808886ʃ2. 808953 


809627 


810300 


810971 
811642 


813648 


814980 
815644 
816308, 


818292 
818951 
819610 
828267 


820924 


2. 090212 


809694 
819357 


811038 
811709 
812378 


813714 


817046 
815710 
81637 | 


817098 
813358 
819017 
819675 
802333 


820989 


312447 
81311442. 
813781. 


814447 
8151131 


2 
2.80092 3/2. 


801609) . 


802295 


802979 
803662 


804344 


2.8605025/2.805093 


805705 

8063 384 
87061 
807738 
808414 


809088 
809762 
310434 
81110 
81177 


er. 
803730 
804412 


805773 
8805451 
807129 
807806 
80848 
2.809155 
809829 
81050. 
811173 
811843 
812512 


815777 


816440 ; 


2 817102 


8177646 
8184244 
8190831 


819741 


8203980 
8210, 


822822 
82347 


663 2 821513 2.821579 
8221681 822233 
822887 


823539 


8241261824191 


82477 


824841 
8274261 .825491| 


2.821644 
822299 
822952 
823605 
824256 
824906 


825556 


2.821710 
822364 
823017 
823670 
824321 
82497 


2.821775 
822430 
823083 
823735 
824386 
825036 


825621 


825686 


| 1 


from 1 to 10000, 


632 2.801060 2.801129 


633: 
634 
635 
636, 


632. 
638; 


| 
-0R1747 
80243 2 


503116 


303798 
624450 


2.805161 
805 840 


80651 


2 813247 
81391 


2.817235 
817896 
818556 
819215 
819873 
820530 
821186 

2.521841 
822495 
823148 
823800 


824451 
825101 


825751 


2.805229 


4. 
8145800. 
8152466 
815910. 
816573. 


5 


3 


801815 
802500 
803184 
803867 
804548 


805908 
806587 
807264 


2.817301 
817962 
818622 
819281 
819939 
820595 
821251 


2.821906 
822560 


823213 


2 


2.801198[2.801267 
801884801952 
802568} 802637 
8032521 80332ʃ 


8039351. 804003 
804685 


_:$04616 
2.805297 


.805976 
.806655 


.807332 
808008 


616] .808683 


2.809358 


31.810031 


810703 


7811374 
771812044 


812713 
2.813381 


.$14048] .$ 
814714 


8153786. 
8160421. 


91 816705] , 


2.817367 
.$18028 
818688 


819346 
820004 


820661 
821317 
2.821972 
822626 
823279 


823865 
824516 
82516 


825815 .825880 


823930 
824581 


825231 


— 


2.805365 


806723 
807400 
808076 


8 10098 
810770 
811441 
812111 
812780 


2.813447 


.806044 


808751] 
2.809425 


— Fs 
2.801335 
802021 
802705 
803389 
80407 
804753 


2.805433 
808112 


806790 
807467 
808143 
808818 


2.809492 
810165 
810837 
811508 
812178 
812846 


2.813514 
814181 
814547 
815511 
816175 
816838 


28174330 
818094 
818754 
819412 
+82007c 
820727 


2.822037 
822691 


823344 
823996 
824646 
825296 


821382 


2.317497 
818168 
818819 
819478 
820136 
820792 
En. 
2.822103 
822756 
823409 
824061 
824711 
825361 


825945 


826010 


— 


A Table of Logarithms, 


707 


Num 1 8 2 =: 
670j2.826075]2 826140[2.82620412.82626c[2 826334 
| G71] 826722] 826787] .826852] 826917826981 
672] .$27369] .827434} -827498] -$27563| .827628 
6731.828015. 828080 .828144] -828205] .82 
674] 8286%o| .828724) 828789] 828853] 828918 
675] -229304| 329368] 329432 52949; | 829561 
67612.829947]2-830011j2.830075[2.83013c[2.830204 
677 830589] $3065; .830717] -830781] 830845 
678] -831230] 331294] .831358$] .831422] -831486 
679 831870 831934 831998 832062 832125 
680. 832509. 8325731 832637] .83270c| 832 
| 681] 833147] 833211] -833275|_ 833338] -833402 
63212.8337834[2-3338348[2.833912[2-83397 52.834 
683] -$34421] -334484} -334548] -834611] -334675 
684.8350540 835120835183 -835246Þ -83531 
685] -$35691 335754 .835817] -$35881] 83594 
686 836324 -$36387] .836451] .836514] 8365 
687 836957 -$37070| .837083 237346 837209 
688[2-837588[2.837652þ2.837715[2,8377;8Þ2-837841 
| 689 .838219] -835262] .838345] .838540t] 8 
690 838849] -838912] 832975] 635038] 4 
691] -$39478 -$39541] .839604] 8395678 
692] 8401060 · 840169. 8432.8 484035 
Nees 840921} $429 
6942.841359 2.041422[2.84148512.8415 47 [2-044 
695] -841985] -342047] .84211c] .84217:] 49422 
696] -84260g] 842672. 84273484279 
697 843233 843295 8433571843420 8 
698843655 843 918843980 844042 5 
699 844477 844539 844601. 84 466: 8 
500845098 845160 845222 $4528; 2 
70h. 84571802.845 7802.845842 2. 84590. 2.6 
702] 846337] 846399] .846461] 8465238. 
703 846955 847017 84707 847141 8. 
704] 547573] -847634] -847696] 84756 
705 -848189] .848251] .848312] .8437-<] .£ 
7061848805. 8 48866848928 8489 ecl .8g 
.8494191 .849481] .849542 .849604 8 


* 


rr I an c— a Jy WY GAY 


ꝙ— 


— 


from 1 to 0000. 


Num 5 


670 2.826399 
671; . 827046 827111 


672 827692 
673 828338 
674 828982 
675 829625 
676 2 830268 
677 8 30909 
678 831550 


679 832189 832253 


680 . 832828 


681 832466827 880 


6622 834103 
683 834738 
684 835373 
685, 836007 
686 836640 


687. 837273 
6882. 837904 2.837967 
838534 
839164 
839792839855 


68 


840420 
7 


6 


— — 


e Bro 


8-4 


2. 52646402. 2.826528 2. 2.826593 2. 826658 65 


827175 
827757] 827821 
8284020828466 
229046 $29117, 


8 :9690 $29754 -$2 


-P 8$30332/2- 830396 2. 830460 2. 830524 "© 
833037) 831102 .831166 67 
8317428318 


830973 
831614831678 
632317 
812956 


$3359} 


832892 


827240 


827888. 
8285316. 
829175 
8298180 


832381 
$3301 


833657 +$33721 


2. 934166 
834802 
$35437] 

| * 836071 
836704 


83613 


838660 
839289 
839918 
840482840545 
841109] 841172 


838597 
839227 


6942 841672 


705] 848497 
8491121 


' 707 . 849726 . 849788 


7 


2.84735 .841797 
8423600 842422 
842983] 843046 
843606. 843669 
84422 . 
844856 844912 
84547 84882 


836197 


836767 1 
_-837336]_$37399 -837462 
2.838030.2. 5358593 


838723 
839352 
839981 
840608 
841234 
2.84860 
84248 
843100 
8437317 
844353 
844974 
84794 


1.841297 


832445 
833083 


2. 834230 2. 834293 2. 834757 6. 
8348660834929 
835500 .83556 


834993 
835627 
836261 
836893 


83282 


2.83815 
838786 


I 


$3941 
840043 
840671 


2.841922 


64 


84317 
843793 
844415 
84503 
845656 


842 54 N 


84677 
847388 


84923 
849849 


84800 
55 
5 


2 $46213 
846832 
84744 
84806 
84868 


8492 


2.846275 


846893 
84751 
848127 


848743 


1849358 
849911 


849972 


older = oo x I. —_— 
1 


og 


KA * 
— — 
— — — * 


* 


— — 


— — . 


332 2 - —— — _ _ — 2 


1 * — 2 — — WC. 


—— — ——— — —ů —— 
— 


— —— | 
1 — — 


— — 


A Table o Logarithms, 


7111 
| 712 


.$52480 


856729 
2.857332 


857935] - 
858537] - 
859138. 
3597391 
8603281 


726 


729 
730 
73! 
732 
733 
734 
735 
736 
737 
738 


73912 868644 ; 
8692321 
8698180 


749 


2.86451) 


865104] . 
865696. 
8662871. 
8668 78 
867467 


.86805C 


87040 
87098 
87157 


87215 


1 


2 et 


3 


2" 


70 2.850033 2. 850095, 2.8501562. 2.850217 % 850279 GI 


850707 . 850769 .$50830 850891 


851319851387 


851931 
852541 


853150] .853211 
ty But > off be Wont 
2.853759 


85436 
854974 
855580 
856185 

85678, 


2.857393 


.$51992 
.852602 


851442 


2 853820 


854427 
8550340 
855640 
856245 
856850] + 
2 8574532. 
8588566. 
8586570 
8592580 
8598580. 
8604580 


2.853881 


8520533 
8526631 
853222 


851503 


Dit 
G1 


2.86093 ;|2. 
727| .861534] - 
7280.862131 
8627271 
8633231 
863971 


871047 
871631 
872215 


2 86:05 
86165 


8622510 
862847 


863442 


771_:864036} .86: 
2.864630[2. 


865222 
865874 


866405 
866990 
867585]. 
8681744 


2-86876212.80 


.86934 
869935 
8 0521 
87110 
87169 


872273 


:.$6882-[2.1 

8694 85 : 
8699944 
870579 


871164 a 


871748 


872350 


— 


„ „„ eee e. 


PP io 


-r. 


2 


from IT to 10000, 


Na 


5 | 6 


708[2.850340 


709 
710 
711 
712 


113 
71412.8 54002[2.8 54063 
715] .854610] -85467c 


7I 


7171 855822 
718] .856427 


72 
730 


732 
733 
734 


8509521851014 


85156 


8521751852236 
852785] .85284c 


85339 
85521 


857031 
2.857634 


2.850401 
851625 


85745" 


855277 
855882 
85648 
857091 
2.857694 


858236 


2.86123 
861833 
862430 
863025 
86362 
864214 

2.864808 

865400 

865992 


735 
73 


7371.867762 
7380868350 


2.868938 


739 
140 
141 
142 
743 


866583 
867173 


869525 
870111 
.870696 


871281 


144 


E 


871865 


8588 38.858897 
8894380 ·8 59499 
.860038] -860098 
860637]_:860697 


858297 


2.861295 295 
861893 
862489 


8630851 
863680 
864274864323 864393 


2.864867]2- 


865459] + 
.866051] - 


8666420 
8672321 
867821] - 
- 368469 


5689972. 


8695844 
8701700 


870755 * 


2.850462 


857151 


851075 
851686 
852297 
472 
83e 
2.854124 
85473 
855337 


855943 
856548 


2.857754 
858357 


851137 
85174 


8523504] + 


852968 


856608 
8 7242] 
2.85781 
85841” 
859018 


858958 
859559 
860158 
.8607 571 
2.861355 
861952 
862549 


$7133 


87 500 
872506 : 


85961 
860214] 


870817 
2.861415 
862012 
862608 


2.850524 


_B5357<} 35 
2.854184[2- 
854792 


85539c] - 
85600 |}. 


2.857875 
858477 
859078 
8 9679 
860278 
38607 
2861475 
862072 
862668 
863263 
863858 
864452 
8.365045 


865637 


866228 
86681 
867409 
867997 
86858 


86976 
3870345 
87093 
87151 
87209 


872681 
— ena 


224 


A Table of Logarithms, 


3 Lt. 
746þ.872739]2.37 2797-872855 2.872913]2.872972] $8 
747] 873321] 873375] 873437 873495] 873553] 58 
748] .873902] .873960| -$74018 ,874070| 8741344 58 
749] -874482] 874540] 874598, .874656| .874714] 58 
750] 877061875119 875177 875235] .875293] $58 
261] 37564 8759 #75740 ee 87587-| 51 
75212.87621t 2.876276 2.87633 ,12.876391[2.876449} 58 
753] -8767$5} .876853] .$76910| .876968| .$877026} 58 
7544.877371 877429] 87746 [877544] 877602 58 
755187794 | -878004] 878878119 .878177 57 
756] .87852 [ 878575] 878637 8786948787510 57 
757|_879-y |_879-;;| 879211} 879268] .879325}_57 
158Þ.6795%]> $7:72 [:-$79784[2.8 984 1]2.879898] 57 
759] 88024 ] 660 9. 880356 880413] . 880471} 57 
76c| .880814] >d8057.] 83921880985. 88 1042] 57 
' 361] .88133 | 88144:| -$54499] 881556] 881613] 57 
\ 76:| 881955] $8201} 832079 $8212 8821831 $7 
763], 882524] .88252 [88275 88269 [882282 57 
76, [2.883093]2 8831 „. 

' 765] 4883661] .883718] . 

766.8842291 .884285] . 

767] .884795] 884852] - 

768] .885361] .885418]| 8 

769] 885920] 885983] 

770 2.88649 2.886547. 

771} 887054] . 8871110 

7721 -887617] .887673] - 

773] -$88175] .888236| . 

| 774| 888741] .888797] . 

{ 775] -889302] .889358] . 
E 889862 889918“ 

7772. 89042 z. 890477. 

778 755550 891035 

1779 891537] 891593 

780] .89209<] 592150 

781] -892651] 892707 

78 893207] +893262 


702 


7830 -893 


3 
2 


— 4 — 


N — — —— — ⏑ pe ow. — — 
- - 


— 


2.87308 802.8731462. 8 3 204. 873262 
873727187378 87384 
874308] 874360087442 


_1511_879383]-$79449] -879497|_-879555} 87961: 
758[2.879956[2-880013]z 880070/2-8801 27[2.880185| 
755] 880528] -880585] .880642| .880699] 886756 


s 8811560881213 8812700. 8813280 57 
88167 


881727] .881784] -881841] .881898] 57 ; 
762] 882240] -882297 882354] -882411] -882468] 57 \Þ 

882880882923] .882980| .883036} 57| 
76412.88337712+38 343412.883491[2.883548[2.883605| 57 | 

88400 2.884059 .884115| 884172} 57 1 
884625| .884682} 88430 % 57 
8851978852480 .8853a5l 37 
0 00.885757 885813] .885870 57 
886209. 88285 [ 8863210 .88637?| .1 
77002. 886773. 86829: 88688 fz. 88694 25K. 
887392] .88744t] .887505| . 
+888011| .888067] 888123 
888573888629 4 
.889133 889190 88924 
889694] 8897 5c. 889806 
X. 41] 292197] .890253] 890309] 890365 
7771.890700[2.89075 5[2.89081 2]2.890868$|2.89092 
.89137c} .891426] .$91482 
.891927] .89198 3] .89203 
.892484| .892540} .$9259 


-893595] .893651] .8937 
894150 


A wm „eee 


89304c| .893 bf 893151 


894205 


— — — 


894261 


n A Table of Logarithms, 
| 7342 594316 2.894371 2.894427 2.89448:]2-894538] 55] 
785} .854670| 994925| 394980 895030] . 
7860.897422 .895478] 895533! 895588] . 
737] 895975] 896030} .8g6085) .89614c] . 
788] .896520]| .895+81] .896636| 8986910 
739] -897077_897132] -857187|_-397242]_89729' 
790.2 89762712.897682[2.897737]2.897792 
791 258170 898231898286 . 898344 
792] -898725| .898 7800.896835. 89889 
7938992730899 3280.899383 899437] - 
794-8998200. 899675. 8999300. 899985 
298900367. 90 2. 90047 900531] oe 
7962. 90091 30. 900968“ z. 90 102 2j2.901077[2. 
797] 9014580901513 901567 9016221 
798| .902003] .902057| .902112] 9021666 
799] 902547 .902601| .902655| .90271c| - 
800] .90309go{ 903144] 903198. 9032531 
L12282 .903687| .903741|_.903795|_- 

802 2.904174 2.904228/2 90428 302.9043372 · 904391 
803 904715 904770. 904824 .904878] + 
804! 905256 .905310] 905364 .905418] + 
805; «995796 905850] .905 90g] .yo5958] - 
806] «906335, -906389| -90644 3] .906497]| · 90 
807] .90687 y| .906927 _:906981] .907035|_- 
808/2.90741 112.9074652. 907519 2.90757 3[2-9076 
809] 907948; . 90800 . 908056908109 
810. 908485 908539 . 90859 2.908646 
811] 909021 .909074! .909128| . 909181] . 
812) .909556, .yo96og| 909663] .90971 
813 910090 910144 910197] .910251] - 
814] 910624 910678 .910731| .910784] - Wt! 
 B15,2 9111582.911211/2 91 1264/2.911317[2-911371 53 
8160 911690 911743 911797911850 9119030 53 
817] .912222 912275 912328091238. 9124350 53 
8180.912753 128060 912659 9129129129660 53 
819 913284 9133370 8133900 -913443] -9134 53 
ö 82 9913814913867 .913920| .913973| -914026| 53 
| $21 .914343 -914396] .914449' .914502l .914555| 33 


—— 


rn 


from 1 to 10000. 


| 792 89899 

793] -$99547 
| 79 90009 
795 90064 


— — 


79 
80 


801 


|  —— — 


802 
$03 


805 


_807 
808 
809 
810 
811 
812 
813 


| 814 


815 


817 
818 


7962.901186 
797 901731 
798] 9022751 
9028181 
903361. 
2822831. 


804 
806 


816 


$1 
$ 
E. 


89569 
896251 
896802 


786 897352 
90h · 897902 
791] 398451] . 


7 


2-894648|2.89470412-8947 591289481 
895257 1 = 895367 


895754 89580 


8963611 


. 1-8 


-897517]_-897572 
2.89806712.898122 
8986151898670 


899054] 89910 


99602 899656 8997118997 
.900149] -900203| 9258 900312 


2.994445 


.906065 
906604 
907142 
2 907680 


90498614 
90551261 


9082171. 
9087531 
.90928:] . 
9098231 
910358. 
910891. 


2. 9612402. 901295 
901840 


902384 


89916 2 


_-yoo804] .9oo858 


2.9913491]2.901404| 
901894 901948 
-902438] .902492 
902981 903910 
903524 03578 
904066 904120 


909395 
909930 
910464 
910998 


2.911424 


911956} - 
9124880 
913019 


912063 


912594 
913125 


9135499 
914079, 914131 
914608 914660 


913655 
914184 
914713 


2.911584 91 1637 


2.904607 fz. 904661 
905148905 202 
9056881 905742 
906227906281 
906766906820 
2 .907358 
2.907841 f.907895 
908378 908431 
908914. 908967 
| 909449} 909502 
.909984] .910037 
910518] 910571 
911051911104 


912116 
912647 
913178 
913708 


912169 
912700 
913231 
913761 


914237J 91429 


914819 5 


| .91 4766! 


— — 5 


. A table ot Logarithms, 
Nun“ © I 2 | 3 


8222.914872 91492512 .91497712-915030[2.915083 
823] -915400] -915453] 9155059155580 
$24] -915927] -915980] 916033 .9:16085| . 
8251916454] 916507 916559 -916612} . 
826] -916980] .917033] 9170809171380 
$27] -917505} 2917558] 917610917663] . 
828/2.918030'2 9180832 9181351--918183]2.918240 52 
829 918554 918607918659 918712978764 52 
830.9199780 -919139] 919183] -919235| .919287| 52 
831] -919601| -919653] 919705] -919758} .91981 52 
$32] -920123] -920175]| 920428} -9202809] .920332 52 
| 833] 920645] :929697] 926749920801] .920853] 52 


[ O— — 


83402. 921166 2.921212. 9212700 9213220 921374] 52 
839.9216860 9217380921790. 9218420921894 52 

8360 9 222060 9222580 9223100 922362 . 922414] 62 

837] .922725| -922777] 92282992288 922933] 62 | 
8380923244 9232960 923348] -923399] 9234510 52 | 
839 .923762| _-9238 14] -923865[_-9239' 7] -923969| 52 
$40 2.924279,2-924331[2-924383[2-92443412-9244$6] 52 
841} ,924796| -924848 924899] -924951] .925002| 52 
842] .925312] -925364| 925415] -925467] 925518] 52 
843] .925828| -925879] -92593 | -925982] .926034| 51 
.926342 926394 92644 926497 926548 FI 
1 345] .92*857|_-9269c8| .926959] -927011} .927062] 51 


8462.92737012-9274222.927473|2-927524 "Fre 51 


_ 


2 


1 847] 9278831 9279359279870 928037] 928088 
1 348] .928396] 928447928498 928549 928601 
1849 „9289080 928959 929010 929061] 9291120 51 
18500 929419 -929470] 929521 -929572] .929623] 51 
851.9299300 9299810930032] 930083 930134] 51 
1 352] -930440]_-930491] Norge 90643 51 
1 85312-930949]2.93100cſ2.931051[2.931102[2.931153] 51 
8544 -931458] 931509 .93156c| 931616 .931661] 51 
855] -931966] 932017 -932068] .932118] .932169] 51 

6] -932474] -932524] 932575] .932626| 9326770 51 


857] -932981] -93303-| .9330982] ,933133| 933183 51 
| * 933487 8337381 9335880933639 9336 SI 
-933993 934944! -934994 9341435 +934195! 5! 


— 


| from 1 to 10000, | 


Num 5 1 
8222.915136 2.91518 223 T 2125 
8231 9156644 

8244 916191 

825] 9167171 

826] 917243 917348 


8271..917768| 917820] 917873] .917925| 917978 
$28{2.918292[2.918345[2.918397[2-91845012. 22 
$29] 9188160918869 918921 
830] 9193400919392 919444] 91949 919549 
$31] -919862| .919914| 9199670 920071 
| 832 920384920436 .92048 920593 
 833]_-920906|_.920958] .92101c -$921062] 921114] 52 
$3412.921426 2.92147812-921530[2-92158212.921634| 52 
835 921946 9219988 922050922102] 9221544 52 
$36] 9224669225180 9225700 9226220 .922674] 52 
837 922985 923037 923088] 9231400 923192] 52 
839] 9235030923555 9236079236580 9237100 32 
839.2248210 92492292412. 9241769242280 52 
8401]2-924538 2.924589/2.924641 2924693 2.924744] 52 
$41] 925054 925106 .925157} 25209 252600 52 
842] -925570; .925621] .925673] -925724| -925776] 52 
843 926085 926137926188. 926239 (926291 51 


844 er 9266510926702] 926754 926805 51 
| _845]_:927114"_-927165] - 27268] -927319_ 51] 
| 84 29276273. 2.927832] 61 
847 928140 . 51 
848 9286522 FI} 
| $49] 9291630 = 
850] -929674| - 51 
| 851] 930185. 51 
' | 852 _:939694, 9 Fri 
a 85 31]2-931205 2.93125 2-931 30512-93135 51 
1 854 931712 6 FI 
p 855] -93222 514 
˖ 856] 932727 FI 
x $57] -933234 ' - $1 
g 135 933740 933841] -933992] -933943 $1] 
859] -934246 9342961 934347 934397 -934448' - 41 


G 


A Tal 
Table of Logarichms, 


0 


7934098 
93503 
98935507 
93601¹ 
9365¹4 
932016 
8663.937518 
938019 
| 938520 
.939020 
939519 


. 
2.934549 
935054 
935558 
936061 
936564 .9 
ess 
2.937568 
9380 


938570 938620 


93907 
9395 


-940018 


| 898 


2.94051 
94101 


895 


94200 
9425 


943989 
944453 


945469 
2945961 


947434 
2947924 


941511] -941561 

2 2058]. 

42554] + 
9436049] . 


_:940068] .94011 240168 


2.94056 
94106 


———— 


4 [Diff 


2.93459912-934650 
935104 A 
9356080 935658 
9367111 93616 
2 036664 

37115] .937167 

2.937618 2.937668 


2.934700 
935205 
93570 
936212 


936715 


2.937718 


9381191893816 
93870 
93917 
935669 


93912 
93961 


2.94061 
941114 
941611 


2943544ʃ%z 
9440380. 
944532 


944976 945025} . 


945518]. 
46010 
2.946501 

946992 

947483 

947973 

948462 

948951 


_:949390/_-9494 39] -949488] . 


2-949926 
950413 
-950900 
951386 


951823 
952306 
NS 


9518721. 
9523560 


938219 
938720 
939220 
9397¹ 
940218 
2.940716 
941213 


943. 
64312 943692 
944186 
944690 


2.9465 50lz 
Mons ; 
947532 -94758 
5948021 1 bouts 
.948511] .948560 
948999] .949048 


2.94997 512-95 002 
95046 8 
95094 950997 


9536 


945173 
945665 
946177 
2.946645 
947135 
947630 
948115 
548608 
949097 
249585 
2.950073 
.950560 
951046 


951435} 951483 
95156 


952841 


$ 9 952930) 


951532 
952017 


. 


5 
$ 
5 
5 
0 


27212] Le 


50 
50 
5 

Fo 
50 
50 
50 
Fo 
50 
50 
50 


=. - , 


49 
49 
49 
4 

49 


5 | 


49 
49 
49 
49 
49 


— — 


— 


r 


001009 © 


ee 


[= 
00 2.9348 5202.934902 2.934953] 5c 


from T to 10000, 


860 2.934751 
861] 935255 


862935759 
863] 936262 


864936765 
8857 2126 
8662 93776 
$67] .938269 
938770 
939275 
939769 
871 940267 


873] 941263 
874] .941760 
«94225 
942752 
8422427 


879] 944236 
88 


þ 


| — 


2.9467 4712-94679 


4 953083 953131] 9531800 912281 $8 


6 7 8 9 ft 


935306] 9353560 935406] -935457] 5c 
.935809| -93 5860| .9359rof -935960| 50 
936313] -936363| -936413] 936463] 50 
.936815] -936865]| .936916] -936966] 50 
9373171 _:937367] 937418] 937468 0 
2.937819 2.937869 02.9379192.937965 
538319 938370 9384200 .93847c 
938820 -938870] 938920 938970 
939315 9393 

.939819] -939868]| .939918] -939968 


872 2+940765|2-9403 r 5]2.940865[2.94091 512.94096 50 


941313] 947362 .941412] 941462] 5c 
-941809] -941859] .941909] -941958] 30 
942306 942355 -942405| -942454] 50 
942801 9428710 942900 942950 50 
-94.3297]_-943346_-943396] 943445] 45 


2.943 7422-94 3791]: 94384112.943890[2.943939] 49 


944285] 944335] -944334] -944433] 49 
-944779] 9448280 .944877] 944927] 45 
9452721 -945321] -945370] 945419] 49 
945764] 945813] 945363] 945911] 49 
:946256] .946305| .9463541_:946403]__ 45 
2.94684512-946894 
-947238] -947287] 9473360947385 
9477280947777 4947826] -947875 

.948266] .948315| -94836 


2.950267|2.950316 
950705] 950754] -950803] 49 
951143] -951192] .951240] -951289} 49 
951629] -951677] 951726] .95177 
-952163| .952211] .95225% 
952599 9526479526960 9527 48 


2 * * . a 
* 

393 

> 


—— 


£ — 1221 
9 


ö A Table of Logarithms, 

FDL 
$9812.95 3276]2-95 3325]2- 953373 2.95 342112.95 3470] 48 
953808] -953856| .953905| .953953] 48 
goc] .954242] -954291] -954339| +954387] -954435] 48 
954773] -954821] .954869] 955918 48 
go2] 955206] -955255] +955303] .955351] 955399 48 
903]_.955688|_-955736]_-955784| 955832] .955880| 48 
'904[z.956168[2.956216]2.956264]2.956312]2 956360} 48 
956649 :956697] 956744] .956792] .956840] 48 
957128 957176 .957224] .957272] 957320 48 


——_{__— — oo 1 * 


| 907] 957607] 957655] 957707 .957751] 957799] 48 
908] .958086] -958134] 958181] 958229958277 48 
909]_-958564]_:958612] 958659] .958707] .958755|_ 48 
910[2.95904112 95908912.9591 3712-959184[2-959232] 48 | 
p11] 959518 959566959614 959661. 959709 48 | 
912] 959995] :960042] .960090| .960138| .960185] 48 
913] 960471 9605 18.960566. 9606131 .960661 2 
914] 9609 96099. 961041 961089 .961136 1 
915861421 961468 961516] 961563 Sies 47 . 
Se. 961895: 96194. 3h. 9619900. 9620380. 962055 47 
| 917] -962369] 8241762464 625110962559 47 
918] 962843] -962890] .962937| .962985| .963032] 47 
919] 63315 963363] 9634100 963457 96350: 47 
920] 9637880963835 ,963882 90392 47 
9221_-96426c|_ 964307] 964354|_:964401 47 j 
| | 922]2.964731[2-964778 . 47 
923] .965202] -965249] .965296]| .965343| 96 47 
| 924] 965672 965719 965766] .965813| -96586c} 47 
925] .966142] -966189] 9662360 .966283 47 
926] .966611] .966658] ,966705| .966752| .966798] 47 
92 967080 967127] .967173] 9672200 .967267] 47 
» |_928] 967548] 967595] 967642] 967688] .967735| 47 . 
| 92912.968016[2.968c63[2.96810912.968 1565.968203 47 
930] 96848 3] 9685 300. 968 5760.968623 (968670 47 
| 931] 958950] 928996} .969043] 969090] .969136] 47 
| _ | 934] -969410} 969462] .969509] .9695 56 969602] 47 
| 1 933] -969882| 969928] .969975| -970031| 970068] 47 
| Er 970347] 979393] 970440] -979486| 970533 46| 
| 935 970812 2 .970004' 970951] 970997 46 


from 1 to 2 


IS Diff 
2.953615/2 2953663 582717 ab 


48 

95458 97462 1554677 
+95 5062] -955I10] 955158 
«95 5447, 9554956955543 -955591] 55640 
5928. .955976|_-956024|_:956072]_-95612c 
904'2.956409 2.95645712-956505[2-9565 53[2-956601 
905| -956888; .956936| -956984, -957932] -95708c 
906] -957368, 9574160957464 -957511] 957559 
. 957942 +957990] «958038 
908958325 958373] -958420| 958468] 9548516 
-958850|_.958898| 958946] 95899 


959852 979800 959947 
9603 28| -960376] .960423 
.960804] 960851] .96089c 
1914 961184 961231961279 9613260 96137. 
915 961658] .9617 961753 _-961801 .0618 af 
916/2.962132[2.962180[2.962227|2-962275]2.962323 
917] -962606] .962653] 962701) -962748] .962795 
918] .963079] 9631260 5631749632210 .963264 
919] -963552] -963599] -963646| 963693] 963741 
964071] -964118| -964165| 964212 
[921] -964495]_-964542|_:964590|_:964637] 96468 


9221[2.96496 2.965013/2.965060[2-965 108/2.96515 
965484] 965531 — — 
965954 .966001| + 
96642 3] 966470 9461) 26658 
966845966892 966939 96698 . 
967314 967361 .967408| .967454' 967501 
928] . .967829 .967875| -967922 967965 
— 24912 968 296 2968343 2 968389 2968436 
.968716 968763 9688 10.9688 56 968903 
969183969229 9692760969321 969365 
932969649 969695 9697420969788 909835] 
933] 970114] -970161| , %% 970254 97030 
934] 5970579] 970626 970672] .970719 .97076 
971090 9711371 - 970183 971225 


4 


; — — — 


N 
ih | 13 
Num o 1 
-9362-97127 „„ : 
937.9717400 9717860 971832 
938] 97 203] 972249 972295] . 
939972666 9727120972758 - 
| 94 .973128] -973174} -973220| . 5 
1.941] -973599] 282 5 
94.74% 1[-97499712-974143]2- ; 
1.943] -974512] :974558} -974604| . - 
1-944] 974972] 975018] .975064] . £ 
945] -975432] 975478] 975524] . 975616 
946] 975891] 975937} - 976075, 5 
947 97635 0]_97639t . 5442] -976487 2975533] _44 8 
7 * 297680802. 9768 5412. 9769002. 9769462. 9 76991 
1549 9772 977319 977358] 977403] -97744 - 
950.9777244 977769] 977815] .977861| 977906 $ 
| 951] -978180| -978226| 9782721 .978317| .978363 
952] -978637} 978683] .978728} . 978819] 46 5 
es 979184] 979239 :979275|_ 46 G 
| 954/2-97954812-979594'2-97963912.979685[2-9797 zo] 46 : 
195 980003 980049} 980094 9801400 .980185} 45 9 
956] 980458] -980503| 980549] 980594] .980640] 45 - 
957] 980912} -939957; 981003. 981003. 98 1093] 45 — 
| 958] -981365| 981411} .981456| .981501] 981547] 45 g 
| 959] .981819|_981864) .981909] . 982000| 4ʃ 9 
1960 2 98227112 982316 2.982362 2. 982407[2.982452| 45 - 
961] 982723] -982769; 9828144 982904] 45 9 
962 9831750 9832200983265 983356 45 
1 963] .983626] 983671] .983716]. 983807] 45 - 
964] -984077} -934122| 984167] . 984257] 45 L 
9650.984527 934572; 9846177 . 984707] 45 9 
966 984977 2850221 .985067 _-985157 45 9 
96712 98542095471 965516 985561. 98 5c 45 
| 968] 985875 985920] 98 5965 9860100 .986055| 45 
18690586324] 986369 .986413] .986458] 986505 35 G 
{| 970] 986772 9868160 . 986861] .986906] 986951 46] l9 
971] .987219] -987264} -987309] .987333 987398 45 — 
972] 987666] 987711] .987756] .987800] .987845] 4 


973t -988113 988157 988202 988247! 988291 45 


— 


rom 1 to 10000. 
— EY e hs, Wn 


, 93612-97150 2.97155412.97 1600,2.971647[2. 
937] -971971] 972018] .972064] 972110], 
938] -972434| -9724$0| .972527| 4972573} . 
939 -972897] .972943] 972989 9730350 
940 973359097340 9734510 973497 973543 
| | 941]_:973820] -973866| 9739132229924 
04212-974281/2-974327[2-97437 31: | 
943] -974742| -974788] 974834 
944] 975202 9752480975294 
945} 975661 4975707] -975753] * 
946] -976121] .976166] .976212 


[9471976579] 976625} 297667 1þ 970717 
943]2-97703712-977083]2-977129]- 
9490/9774950 7754109775860 977632] .977678 
950 FE 977998978043 97808 

5 


n a. 1 
-— > —_ — 


— 93—— 


. att 


—— IT KY —[——êñ.ſ . — 
— - 


951] -978409] .978454| -978500| +9785 
952 -978865| .978911] -97895 


kd ih AG. +. 464 
— — 


| [.953|-979321| 979366] 7 4222477 
5 9542.979776. 979821. 979867 
; 955] 980231} -980276] .980322 
956] .980685| .980730] .980776] * 
957] .981139] .981184] .981229] * 
958] .981592| .981637] .981683] - 
| _959]| .982045| 982090] .982135| * 
960 2.99 2497 2.982543 2.9825 85 
961] .982949] -982994| 98 3040 
; 962] .983401] -983446| .983491] - 
| 963] -983852| 983897] .983942] . 
964| .984302] -984347] 984392 
] 
5 
5 


- 
— EET i. * 0 


— . 3 K«ĩ—ſ ̃ ——— 
bw _ - 


— —̃ —— — 
> __ - FL — 


* 


— —— 
— — — 
— 


965.9847520 -984797| 934842] . 
906] 985002] 985247) 985292] 


—ů 


96712.98565 112.985696|2.98 574.112. 
968] .986100] 986144 9861890 
969| .986548] .986593] .986637] . 
970] .986995] .987040| 987080 
971] 87443] -987487| 987532} - 


| 972] 87890 .987934| -987979 
| | 973 988336! .983381 988425 988470988514 


— m — — 


* 38 = _— „ 44+ Saas 


2 "A Table of Logarithme, 


(Num, 9 I ES 9 by CIR _ 
197 2.98855 erm ee 2.988693 2.988737] 45 
975 -989005| .989049] 89094 9891380 9891831 45 
| 9894500 .989494| 989539] -989583] .98962t 

989939 -98998 30 .990028] .990072} 44 
-990383| .999428| .990472] .990516] 44 


99127 991315 99135 991403 
981] -99166g] .991713 991757 991802 991846 


982] .992111 
2 . 

984 

985 99343 9934 9935244 

98 993965 
198 99407 .99444 

988] . _:994801] .994845] 994889] - 

2.995284|2.995 328 2.995372] 44 


995871 


— CC 


— — 
= — — — — — 


— — — — —L—ů e —— — 
— — : 


2%. 


— 


from 1 to 10000. 
Kam; 3.1 +. 
| 974 2- 509755 2 2.988826 2.988871[2.98891 8 98896 45 
975| -989227] -989272] .989316| .989361] .989405| 45 
976] . 989672] 9897179897610 9898069898 50 
977] -990117] 990161} .990206| · 990250 9902944 4 1 
_978} -990561]_:990605] .990650, :999694 999738] 44 | 
979j2.991 004{2+99104912.99109312-99113712.991 182 
980] -991448| -991492] -991536| -991580] .991625 
981] .991890| -991934] -991979] -992023] .992067 
982] 9923330992377 -992421| -992465 99250 
| 983] .992774|_-992818 992863] .992907| .992951 
98412-9932 142.993260[2-993304[2-993 344 — 
993657993701. 9 93745993789 993833 
994097 9941410 9941850554229 .994273 
| -994581] .994625 94669 994713 
--995921 2995064] .995 108| .995152 
:995460/2.995 504/2-995 54712-995 591] ../ 
| 995 898| .99594a| 995986 .996039] 44]. 
:996336| 996380, 996424 996468] 4 
99677 996814 -996862]| .996905| 44] 
-997212| .997255|_-997299_-997343| 
. 9976480 315 2-9977362-997779| 
998055 .998128 998172) 9582106 4+ 
| -998521] .998564] 999608] .998652] 4% 


- — — 1 
—— 1 — — 


Lal —— 


a. 
a. DA. A. 
= 


OO OE 
— —— z —˙iÄ. 28: wth Whroig = o 
= = a 
j 4 -_ 
— — — — 
— — - * — _ 


K — 
„„ 
— TT. „ IE 
— — 
1 — 


| 999522 
2% 8525 Size 999913) 277 43 


3 
2 
— 
V 
A 


—_— — 
3 
* 


W 
— * 


— — 
0 
. 


— 
— cc __ 
———_ 2 - | ; Ur 


hs. AC 


_ — —— 
. ” * 


ADVERTISEMENT. 


LL Sorts of Meridian, Azi- 

muths, and Amplitude Com- 
paſſes, Running-glaſſes, Waggoners, 
Plats, Sea Charts, both Plain and Mer- 
cator: Likewiſe all forts of Mathemati- 
cal Inſtruments are made and fold by 
Wholeſale or Retail, by Jer. Seller 
and Cha. Price at the Hermitage-ſtarrs. 


— 


 Logarithmical : 
OR A 


TABLE 


and SECANTS, the Radius 
10.000000 3; and to every 
Degree and Minute of 


QUADRANT. 


LOND O M, 


Printed by . Redmayne for Jer, Seller 
and Cha, Price, 1701. 


1 | = 


— 


—— — 


TRIANGULAR CANON 


Artificial SIN ES, TAN GENTS 


the 


- \ —_— — 


* — 2222 


A Table of Artificial Sines, 5 
14 o Degree. 

— * * * — ro — — 
Sine. Tang. Secant. | 5 | 
 00000011v9.00000 0.00000! infinite. [10.000000| Infinite, 3 7.4 
| 116.4637 269 99999965 463726}13.536274j10.000000]13.536274|5 4117-4 
216.7647 56199999996. 764756]r3. 10.000000[1 3.235 24478 3217 - 
316.94084719.99999516-94984.7]1 3.0591 52]! 0-000000[1 3.059195 357 H 
_417.06578619.999999 10.000000/1 2.93421415 147. 
57.162696. 999999 10.000000|12.837304|55 3508. 
7.241877 5.9999 10. ooo 2. 75812364 3608. 
1.308824[9.999999Y7.308825112.691175]t0.000001[12.691 17653 3758. 
817.3668 169 9999997. 3608 172.633 18 fro. oo. 63318452 3888. 
741796819 99999917.4 10.000001[12.582032151 1908. 
10%.4637259. 999998). 4637271 2.5 362730. o 12.5 36274ʃ⁰ 4008. 
117.505 $18]9.999998]7.505120112.49488010.000002[! 2-494882149 4108 
127. 5429069. 999977. 54290912. 45709 ifo. oo 2. 45709304 128. 
137. 577668 .99999711.577671112.422328]10.c00003]12-422332/47 4318 
I 7.609853 2.99999 7.609857 [2.390143 10 000004 12.390147 4408. 
15763981 59999607. 63982 A2. 3601 80[t0.000004 12360184045 gl 
| r617.66784419-99999517.667849112-332151]10.000005|12-332155/44 468 
1 717.694 17 319-99999517.694179]12-305821]10-000005 12.30882743 178. 
4187.718997. 999994. 7 19003[12 280997]10.000006]12.28 100342 4818. 
| 1917.74247 719999993 7.742484 12.25751 10.000007 2.257221 49 8 
20 11647 54Þ 99999} 7-764761[12.235239Þ10.000007][l 2.235 246040 5oſs. 
21.785943 99999217.785951]1 2.214049] 0.000008]r2.214057139 5118 
22/7.80614619.999991[7.806155112.193845]1 0.000009] 2.19385 4138 5 21 
237 82545 119.999990{[7.82546c}12.174540j10.000010[12.174549]37 306 
[24/7 843934[9 99998917-943944]!2 156056110.00001 1112-1 56066136 5 
250 861662]9.999988]7 861674]12.138326|10.000011]12.1383 3835 5 (6 
267.8 7969 5 99998817.8787c8| 1 2.121292 ,10.000012|12.121305134 5618 
2717.895a85[9.99998717.895099]12.104901;10 00001 32. 104915533 57 
2817.91 0879[9.999936]7 910894{1 2.089106|10.co0014[1 2.0891 21]32 5818 

| 919.9261 1919.9999$417.9261 34]1 2.07 3866[10.000015]1 2.073881]31 5g] 
30/7 94084219 99993317 94c858[12.059162J10.000016 12.059158130 6oſl 

Sine. Tang. 2 Secant. 
. 89 D grees. 8 


Tangents and Sccants. 


© Degree. 


58.171280 


28.179713 
38.187985 


5586. 204070 
5008.211895 
5758.219581 
786 227133 
5996.234557 
5008.241855 


(1.992191 
(1.979955 


99997168. 658 0611934194 
999969Þ8-07653 1011.923469 
9999688. 869971. 913003 
999668 9721711 902783 

99984. 10 2 C9279 
999963 3.116963 
99996 118.1265 1 
+9999 59 8.135851 
.9999 5 $18-144996 
9999+ 6 8.153952 
99995 418.162727 
99995 218-171328 
99995 [8.179763] 1.820237 
999948[8.188036]11.81196 
548.1961020. 9999 468.1961 56 dean o 11.803898 


11.883037 
11.873490 
11.8641 49/10 00004 1 
11.855004/10.000042 
11.846048'10 00c044 
1 +.837273110.000046 
11.826672 10.000048 


Secant. | 


1 0.00002 
10.00002 I 


1 0.000024 
10.000024 
o. oooo25 
i © ooo O20 


10.c00016 
10.60001 12449189 
10,000019]12.031130j28 


12.05915830| 


11.97997 9124 
11.968080]: 3 


10.000028 


4 
11.864190 13 
1185504713 
11846092071 


I 1.83731 
11.828720 


10 
5 


* ooo 


410 O. 000052 


9999448. 2041260 1.795874 ! 0.005065 


99994 218.211953 (1.788047 19.0c0058 pre 
.999940[8.219641]11-780359 10.6c0060111 78041 
.999938[8. 227195 11-772505 10-c09062Þ1 1.772866 


.999936]8.2 34621] 1 765379 10.000064 


.999934(8-24192 1]! 1.758078 12022266 1.258145 


Sine. 


Tang. 


1.820287 
11812015 


11.795930 


11 765443 


Secant.. 


G * 


89 Degrers. 


— 


A Table of Artificial Sines, 


1 


Tang. 


1 


| 


9 999934 8-241 921 
1]8.249033[9-999932 8.249% 01 
+ 8.256094 9.999929 = 256165 


9.999927 8 26311 
8.26995 


513.27661419.999922 8.276691 
.283243]9-999920 8-283323 
18.2897 7319-99991 7 8.289856 
8 296207[9-99991 5,8-295292 


_o8-302+469-99991 2/8.302633 


1008.108794 9999108. 308884 
1168.314954. 999907 8.315046 


128.3210279. 999905 8.321122 


1308.327169. 9999028327114 
143-332924 


17 8.350189 9.999891 8.350289 
1808 355 7839.999888 3.355895 
196.361318.99988 58.361 30 
2008.366577. 99988 28.366894 
2118.372171 
2218.377495 


f 


| 


9998768.377622 
999873 3.382389 
02 9998798.3388092 
2518.3931011]9.999867:3 393234 


zo[$.417919 9.999851 $.418068 


5 


Degree. 


Secant. 


11.758078 
11.750898 


11.743837 
11.736885 


II 730044 


11 723309 
11.716677 
11.710144 
11.703708 
1273 
11 691106 


11.684954 
11.678878 


2.999899 8.333925 
1508.338753 9.999897 8.3388 561.661 144,10.000103 I 1.661247 z5 
168 344504 9999894 8.344612|1 1.655389 19.000106 11.655496 44 
11.649710 
10.000112 11.644216 3 


9.9998798.372291, 


2718.40 31 99]9.999861,5.40333% 


11.672886 
[1.666975 


| | 
10.990066 11.758 145 60 
10.000068 11.750967 59 
I0.000071 11.743906 58 
10.000073 11.7 3095857 
10.000075/11.7301 95 
0.000998 11.723386 55 
10.000080 17167575 
I0,000082 11.71022753 
10.000085 11.703793 52 
r0.0000871 107008 FI 
10.000090'11.69120650 
10.000093 11. 68 504649 
19.500095|11.678973 ,8 
19.000098 1 1.672984 47 
10.000101 1 1.667076 


PA oO CS ©st 


A 
& = 


_— OY 


11.644105 
11.638579 
11.633105 
11.627708 
11.622378 
11.617111 
11.611908 
11.606766 
11.601685 
11. 596662 
11.591696 
11.586787 
. 87922 


== 


10.000109 11.649819 3 


SL 
225 


10.000115 


10.000118 
10.000121 
10.000124 
10.000127 
19.899129 


10.00 13311. 606899035 
10.000136|11.601821134 
10.0001 3ZY11-.596801133 
10.000142|1 1.5918 39132 
10,000146111.586931131 
10.000149;11.582081130 


11.886835 41 
Ca 
11.627829'39 
I1.622501138 
11.61723837 
1 1.612038 6 


2 3913 


— 


Sw” a 
a4. 
* . * * . . * . 
—_ a aus 0 3 ARCS oo "CF L.& ©, Hs * # A U La To 


Þ#->- 


Sine. 


8 


| Secant. 2 


88 Degrees. 


Tangents and Secants, N 


1 Degree. 


Tang. Secant. 


99985 ff. 4180681158193 20t0. o gt. 58208 1360 
999848 8.422869 11.577131 0, 01511. 5783 BA9 
9598448.427618 11.572382|10.000155|11.572538h8 
99984 18-4323 1511 1.56768 5 fro. ooo 11.567844 
9998388.436962 11.563038 10.000162]11.563200ſ26 
5998348.44 15601. 5 584400. 00016811. 558600 
99983108.446 1101 f. 55 3890/10. 0001691 1.554059 


4 378.4504409. 9998 27138.450613]11.549387|10.000173]11.54956c 
3} $18.45489319-9998 238.4550701. 544930. 01.545107 
8.426%. 99982018.45948 1111-5405 19110.00018oj1 k.540699 


1 8.46 3664.9. 9998 168.4638491 1.5361 5 0. 0018411. 536333 
= 8.46798 50 9998 12 8.468 17201 1.53 1827/10. 0001871.532015 
19 218.47 226319-99980 8.472454(11-527546[10.000191111.527737 
| | (4318.476498 9.999805|9.476693|11.523307|10.000195]11.523502 
7] | (4418 480693}9 99980113.480892/11.519108]10.00019991 1.519307 
4 | 58.483848]9-999797|8.485050þ 1.514949]10.000203 11-515152 
P 1 $.48896319-99979313.489170{11.510830[10.000206111,511037 

47s $.493250[11.506750[20.000210f1 1:50696c 
8.497293{|11.502707]10-000214}11.502922 
2 48.60 108 997828 5012981 1.498702[10.000218 11.49892c 
ti | 5j8.505045[9-99977818-505267[11.49473 3[10 0002221 1.494955 
ol | $118.508974|9 999774[8-509200fl 1.490800[10.000226[11.49102C 
9) | 15:18.51286719.99976918-513098[11.486902110.v00230j11.487135 
ö | 5318.5 16726;9.999765[8-516961[11.48303g110.600235|11.483274 
37 $48.5 20551 99976«[3.520790]11-479210c[10.000239}11-479449 


0 f [58-524343 9.99975 18-524586111.475414110.000243111.475657] 
5h 6 8 528102 


.99975 3$-528349/11.471651110.000247[11.471898] 
34 e 8.5 32080011. 4079 200. 00025 211.466 772 
1 $.53552319.9997441$-535779111.464221[10.000256}11.464477 
32] | \59l8.539186!9.999740 $.539447|11.46c553110.000260}1 1.46081; 
31] | 608-542819'9.999735/8-543084/11 4569 16110.000265111-457181] g 


Tang. I Secant. 


Sine. 


= 
=] 88 Degrees. ; 
5 . — 


88 
nm.. 


5 3 — 


"A Table of Artificial Sines, 


2 Degrees. 


117 
I 
131 
1 


rh 


8.542815[9-9997 3515-5 +3984] 1.456916 
. 5464220.99973 108. 54659): 
:9997203.550268, 
3-999 7 2243.55381711 1-446183110.00927811 1.446461157 
$.557054[9:99971718: 5573 3611-443 1 
56. 560540 99971358. 560828 11.439172110-000287{t 1.439405 
8.56429 ||' 1.435705 e 11.4 36001154 


3.54999 
3.553535 


98 5639999 9997 
$.56743119-999704 
8.5708 3609 999699Þ-571137 
of8.5742149-9996941[3-57452c[! 1-4 
3. 5775669-9996891[8.577877 
3.580892/9-99968 58.58 120 
8.984793 999680[5.5845 14 
3.5 874699-999675Þ-587794 
8.5997 2119.999670P-591951 


Ti. .593948[9-999665 594283 
168.5971520 99966 
3.600332 999655 8. 600677 
4.60 34899. 9996508 603839 


$.60662 3 9 999645 606978 


56772 2 


Tang. Secant. | 


—— — —— — ͤ 


08.597492 


8 


11.396160. 00035 
11.393022] 88355 
11.389906[10.00036c 
11.3868 11]10.000365 


11.393377141 


O 


1.39026 
1138717 


11.383738 to. 000371 
11.380687 0.00037 


e 377957 10. 8 (1.3 


63139811. 36869 19.0903? | 


87 Degrees. 


— — —¼— CC". 


3008.639680 2.9995 8618.6400931 1.359907 
3118.64256319-9995811]8.64298211.357017 
32}. 645 428Þ9-99957 5]5-645853]11-354147 


1 


— 


343-65 110219-999564}8.65 1537]11-348462 


33 


3368.648274. 9995 708 648704]! r.35129610.000470 (1.351726]27 


| Tangenrs and Secants, I 
5 ; 2 Degrees. b 1 
EI « P24 | 
= Sine. Tang. Secant. 


— — — 


Io. oco4 1911135743729 
10.000425[11.354572128 


10.000436|1 1.348898]20 


3518.65 391119 99955 88.6543 5211.345648 
368.6567029. 9995 538.657 1491 1.342851 
3718.6594 7519-99954 713-65992811 1.340072 
3 662230 9.999541 3.662689 11.337311 
38.849689. 9996.888423 3½1334882 


R 
A 


Io. 0044211. 346099425 
10.000447]11.34 3298124 


10.000459} 1.337770] 2] 


10,000465|£1.335032] 1 


4008.666899. 9995 2918. 66816 
iq 418.6703930 9995 2413.670870[11.329130 
(8 4218-67308019.99951818.673563|1 1.326437 
4318-675 75119-99951 218.6762 3911 1.323761 
.67840519-99950618.678900[; 1.321100 


458.68 10439. 9995 008.681 54411131845 


. 661 11.331840 


10. 004701. 33231102 


10. 0048201 1.3 2692018 
10.0004 8811 1.324249 


10.000494/I 1.321 59SI1C 


8.68366519-99949318.684172[11.315828 
471.6862 7 219.99948718.68578411 1.31321 


5219-69907 3]9-99945618.69961 7[11.300383 
5318.70158919-9994501($.7021 3911 1.297861 
$49-70409019-99944318-704646]!1-295353 
558.706 5779.999437. 7071391 1.292860 
568.7090499 99943168. 7096 1801 1. 290381 
578.7115079 9994248712083 1.287917 
5815-71395 219-9994 1618.7145 34011285465 
598.7163830 9994 1r118.716972111.283028 
7188009 9994098719396 1-280604 


43]3-68886319-99948 118.689381]11,310619119.000519]11.311135j12 
49 8.691438 9.99947 58.691693 11.30803710.000525/ 1.308562 11 
5o[9-69399819-99946918.6945 2911 1.305471[10-000F 3 i111 1.306002 roll 
5113-69654 319-999 46218.697081]1 1.302919119.0005 37]11-393457 


10.000506|T1.3! 633514 
10.0005 I3j11.313727113 


10.000544,1 1.390927 8 
10.0005 50[11-298411 
10.0c0556 11.295910 6 
10. 005631 1.29342 
o. ooo 5691. 290951 
10.0005 1611.288492 


Sine. Tang. 


| 7 """- Degrees. 


e * * 


8 "1 
1 


Io. oo 43 INI. 360320030 


10. 000476011. 329607019 


10.000500[11.318957]1 5 


5. 


10.000582|11,286044 
10.000589/11-283617] 1 
10.000596/11.2812c0|_ © 


2 


A Table of Artificial Sines, 
3_Degrees.. 


| 


Tang. 


Secant. I 


os. 71880009 999404 8. 719396 11.280604[10.000596]|1 I. 28 1 200460 
158 721204 9.999398 8.721806|11.278194110.000602]1 1.278796 59 
28.723 5959.9993918.7 2420301 1.275 796[10.000609]1 1. 27640 6/58 
38.725972 9.999384 8.7 2658811. 273412010. 000616011. 274028050 
48.228337 9:9993788.72 728959[11.27104 1[10.000622 11-271663]56 


58. 7306889.99937108.731317/1 1.26868 30. 0006291 1.26931 215 5 
8.733027 99936468.733663 11.266337 ¹ 0. 00063601 1.26697 354 
78.735353 9993576˙7859 11.264004[10.0:0643[11.264646]; : 
818.7376671g 9993598 73831711. 2616830. 00065011. 26233252 
95.739969 9999343 8 8 74962611-259374[10.090657]1 1.26003 115 


742259 95952475 7429221. 2570080. 6641. 25774160 
118.7445369 9993 298.745 207%. 25479310. 00671. 2554644 
128 74680119.9993 22 8.747479 1. 2525211 867811. 25 3198048 
138.7490 5 5% 99931518.74974©[11.250260[10.000685[11.250945147 

8.75129719.99930818. 751989111.24801 :[10.000692/11.248703[46 


— I mmm —— — — Üßl— — 1 — — 2 ——— 1j— — — — — 


158 753528]9-999301(8.754227[11.24577[10.000699]1 1.24647 2145 
168.7 55747[9-999294($.756453[11.243547[10.000706[11.24425 3/44 
1718.75795 5[9-99928618.75$668[11.241332[10.00071 3}11.242045{43 
1818 76015119-999279 8.7608 7201 1.239128U 10.000721 11. 2398494: 
1918.262337 2999272127 763069]! 1.23693 5010 oo07 2801 1.237663 
208.7645 1 119-99926518.76524 [11.234753]10-000735 t11.235489|4c 
2108.768667 519 999257[8.767417|11.232582[10.000743[11.23332 5139 

2218.768827 9.9992 508.7695 7811. 2304220. 00075011. 23117238 
238.7709709. 9992428. 77172711. 2282730 20.000758 1. 229030137 
24 8. 77310119-9992 358. 8.773866'1 1.2261 3.3 10 000765111.226! 226899136 
25 775223P.5992278.775995%1 1. 22400510. 0007731 1.2247 77135 
2618.777333 9.9992208.778 14/1 1. 22188600. 0007801 1. 222667134 
8.79434 9.9992 128.7802221. 219778010. c 7880 1. 220560533 
26 8.78 152419. 999205 |8. 78232001 1. 217680110. 0007951 1. 21847603: 
| .78360519-999197[8.784408|11.215592)10.coo803[11.216395|31 
\ 308.28 562.2292189 8.78648 6011. 21351410. 00811 11.214325 


— 


| dine. Tang... Secant. A 
(| | 86 Degrees. 85 = 


| 
| 
| 
| 
| 


Tangents and Secants. 


— 


3 Degrees. 


3118.7877369.999181 
3213.789787 9.9991 74 
3318.791828 9.9991 


4715-8194 36 9.999052 
4818.821342'9.999044. 


— — —— — — — 


Tang. 


— — 


3008.785675 9.999189 786486'11.213514 
8.788554) 1.211446 
8.799613'r 1.209387] 
8.792662; 1.207338 
348.7938 59 9.999188 2247011 1.205299 
3518.79588 19.999150 8.796732 1.203269110.000850 11. 
3608.797894 9.599142 79875211.201248 
5768.799897 9 999 1346.800760 1.19923) 
3808.80 18919 99912608 $02765[11.197235 
3918 8038769-999118]5-8094758'r 1.195242 
4008.805852 9.9991 1018-806742 11193258 
408.8078199 999102 8.808717 1.191283 
42]8.809777 9.99909419-310683|1 1.189317 
$313.811 7269.99 9 0868.8 (2641 1 1.1873 59 
4418.8; 3667 9.999027 8.314589/1 1.185411 
4513 815598 9.9990%g 8.816529 1.18347 1110.000931 
8 8175229999061 8.818461 1.181 539 

6.820384) 1.179616 

8.822298011.177702 
12 823240'9-999036 5-824205/11.175795 
5oſ8.8251309.999027;9-926103|11.193897 
5:18.827011'9 999019 3 8279921. 172008 


8.831748 11.168252 
48.832607 9.998993 *$3361 3111-16387 


50 


50 8 8344569.998984 8 3354711 1.164529 
$618.835297'9 9989768 83732111 1.162679 
778.9381 30 9.998957 8 8391630 1.160837 
5818.83995619-998958 8 840998,11.1 59002 
98.8417749.9989 50 8.842824/11.157175 

8.843584 9.999941 8 844644/11-155356 


| * — —— | 


10.0008 


Secant. 


10.000811 


10.000818 
10. 00082 
10. ooo83 


10.000858 


10.000898 
10.000906 
10.000914 


10,000923 


11. 


11. 


11.184401 75 


io. ooo 9 ze 
to. ooc9 47 
10,000964 


10 ©0097 3 
10.000981 
10,000990 
10.000998 
0.001007 


o. 01015 
10.00 1024 
10.001033 
10.001042 
Io. oo 1050 
o. 01059 


—— — 


| Sine, | 


Tang. 


11.182478 14 
I1.18056413 
11.178657 12 
[1.1767601T1 


11.1748701 
11.172989 
1 


11.771116 
11.169250 7 
11.767393 6 


— 


11.165544 5 
11.163703 4 
11.161870 3 
11160044 2 
111582260 1 
14356816 


| 


Secant. 


86 Dez rec. 


2 


2 


cl 
| 


n 
— 


1 2 


A Table of Artificial Sines, ha 


4 Degrees. * ; 
| S 
Tang. Secant. 3 
| 
o8.843 58419-99894 1[8.84.4644]1 1.155 356]10.00105911.156415 60 30 
118.845 38719-99893 2884645 5[11.153545[10-001068]7 115461369 37 
218.84718319.998923 8.848 2601 1. 15 1740010. 001077 1. 1528175 32 
368.8489717 9989 1408 85005611 1.14994 3)10-001086\r1.15102915 33 
850751 9.998905 8.851846]11.148154|10.001095111.149249150 34 
; 518.85252 .99889618.85 362811 1.14637 210.001 104 114747555 35 
8.85 4290'9.998887]$.855403]11.144597]10.001113/11.14570915 36 
| — 17 5.856499. 9987885217“ 11.142829ʃ10.001122½11. 1439513 37 
| rene I0.001131);1.14219915 38 
8 859946'9.998860 e 11.139314119.001140(1-i405 7451 3s 
. 108.8612839 9988 51 8.86243301 1.137567 0.00114 / 1.138717⁰ 40 
| I 
1 11 9.56314 998845 8.864172 1.135827/T0.001 15 11. 136986045 41 
[ 1218.864738 9.9988 32j8.365905[11-134094/10.001 168011135262 48 4? 
| 13 $.866454'9 99882318.867632[11.132368|10.001177|11.133545[47 4] 
| Ir 8.868165/9.998813]8.86935 1 11.130645 10.001 1880111318356 44 
' [17<!8.869868'9.998804[8.871064|11.128936110.001196|11.130132]45 45 
168871565 9-993795 8.872770[11.127230110.001205|[11.128435|:; 4 
178.8732559.998785 3.874469 1.12553 0.001215 112674543 47 
| 138.874938i9-998 710 876162|11.123838[10.001224{11.125062142 45 
F (1.123385/41 2 
J. 08.878285 9587 578.8795291. 124710. 00 12430 l. 1217194 7 
| 213-879949/9-998747]8.88 1202 11.118798110.001253j11.12005113 F1 
| 22/8.88160719-998737 $.882869|11.117131j10.001262|11,118393138 J: 
238883259 9987288.8845 3011115470010. 001272J11. 11674237 57 
| [48884903 9:99871818.886185111-113815110.001282)t 1.11 5097130) Y |S: 
| 2518-286542/9-998708 8.887833|11-112167110.001292|11.1134581z5 5 
| 268.8881749 9986998 889476{11.110524110.001301|11.11182034 Fi 
| 27,8 .88980119-998689 8 891112]11-108888110.001311 1111019933 5. 
| 2318.89 1421/9-998679]8.8927 107258 0. 001321011. 10857432 5 
20ʃ8.89 30359 998669 .105634110.001331|11.106965|31 F 
398.8943 2:99855 8.895984)! .104016 10.001 34111.105 357, 85 
| Tang. Secant. | .: | 
N 85 Degrees 2 | 


Tangents and Secants. 


318.8962 45 9.998649 8.897596 1.102404 


378.905 7369-998 589g 
3808. 9072979: 9985788. 908719,1 1.091 281 
398.908853 99856818 910285, 11.089215 
4008. 9194049: 
4113.911949 
42]8.91 348819-99853718-914951|11 085049 
438.9150229. 998 5278.916495 108350 
8.9165 50[9-998516]8 918034 11 081966, 
4518.918073|9.9985068.919567|11 0804321 
4618.91959119. 999495 .92109 11. 078904 
8.922619 11.977381 


4 92413 11.075864 
8.925649 11.5 4351 


49 8.924112 


10.001351 


10. 001422 
10 001 


10.001463 
4 eas. | 


T0. corghg 


19.001494 
10.001505 


10.601515 
10.001526 


10.001530 


9. 998. 46408 
wo ee 


50 9256099.99845 3 
518 927 100: 9984428 928658j11.071342 
52]8.928587/9.99843118-93015511.069845 


10.001547 
10.0015 58 
10 001568 
10.001579 
10.001 590 


5418 922844 99841008 933134116686 


5506.9330 (59.998 3998 934616 1.65384 
5668.93 448 1/9 99838808 936093 
578-93 5942/9 99837706 9375650162435 
588.9373989 .998 3608. 9359534 
798.9388 50 9.998356 940494 
508.9 940296 9.998 34418.94195 2/11 058048. 
15 5 bY | Sine. Tang. 


5318 930068! 9 e 11.068353 


11. 063907 


10.001601 
10.001612 


10.001623 


11.06c968;10.001634 
11. 05950610. 00164 


10.001165 


328. 897842 999863908. 899203 11. 100595 10. 0136177. 102158a8 
3368.899432 9. 9986298 90080311 099197 10. 9013211. 100568027 
3418 901017 9: 9:9986 198.90: 902398 11 09760210. 10. 01381 11. 0989830 
358.9025959 -99860g 8 903987 11 096013! 10.001 391, 11.09740 
368.9041689 9985998 -905570 11. 94450 10. 001401 11.095831 24 
8 907147 11.09285 3 19-001411 11-0942 
19 00143211.09114 
9985 58 8 91134611. 088154/10.001 001442/11.08g95 20 
9985478913401 86599 10. 00145211. 088051 10 


6 


4 Degrees. 
| * Tang. | Secant. \ 
3008.894643 9. 998659 8. 895984 11. rogo16 10.001 3411110535730 


1110375 


11. 09270 


11.086512 
11.084978 


11 074391 
1.07 2900 
11.071413 
[1.069932 
11.068456 


11.066985 
11.065519 
11.064058 
11. 62602 


[1.061150 


11.059704 


Secant. 


85 2 


— 


i 


— 


29 


— 


3 


18 
1 


8882 


AI 


— 


n. ls — 1 


N 


A Table of Artificial Sines, 


5 Degrees. 


218. 9457720. 998322 


Tn 995 5$34.9- 9987395 


in 9682499 998116. 

6 969600 9.99810. 
— 89709479. 998092 
238.9722899 998080 


53 976293,9-998044, 
2 $.9776199- 998032 
88.978941 998020 
os 3.980259, 9.998008 
3.981573 $7 3'9-997996 


55 N Sitte. 


3.940296 9.998 3448.941951 
94.7389. 9983338943404 


42 3 9736289  998068;3- 
2 29. 974962 9 998056j8. 97 6905. 11.023094 


Tang. 


| 


—— 


8.970133 


5972855 11.027 


9.974209 1.025791 
9221 024440 


8.978248 11.021 


897958611. 020413 

8 980921 11.019079 

3.992251 1I.017749 

8. 222 11 016423 
| Tang. 


145 


Scene. 


10.001667 
8.944852/11.055148[10.001678[11.056826 58| 
8.946295|11.053705[10-00 168g} 1.05 5394157 
3.941734 11-052266]10.001700Þ/1. — 3966156, 


518. 544756 998288 8. 9491631011 05083219.00171½ 105254455 
868.9488749. 998277 997059711. 49403010. 0 1723/T1. —5 112654 
265.9502879 998266 8.95 20211104797 
951696 2 99825508.95 3441.046559. 0017450453045 
$.953100'9-998243 8.954856111.04514412:091757[11- 128459581 
1018.95 44999 998232 8 956267 71.04 04373311 - 0017681 . 045 501 
$.9558969.9982208.957673j11.0423 26]! b. 0 f. 4410649 
128.9572849 998209 8.979751. 0409251 . 001791 
13.958670 9.998 197 6.96473 11.9527] 80301 1.41330 67 
148 960053 9.998186 8.951885/11.038134 
IS 3 961429 9. 9931748. 963254 TE; 036745 
1608.962801 9.998163 8.964639 11.035361 
1718. -9641709.9981518 8.96 601911 033981 
967394 T1. 03260 
3 966893 9.998127; ;8 96876617. 031234 
7613 rt. 029887 
8971496011.028 504 


10.001814/1 1.039948 46 


10. 50572 11. 533197 41 


— —— ——- — 


10. 00188411 9227500 


10.001908 I 1.039053 55 


11 058262159 


11. 42971353 


rr, 94271648 


| 


751 


1 


10. 002004 11.018427 


11.021050ʃ32 
2111.019741 31 


44 


Secanr. | 


—_ 


84. Degrees. 


WW 


„ 


IT 


Wb WJ e r Ga a re... 


„ 


+ + 


5 Degrees. 


Tangents and Sccants. 


Sine. 


Tang. 


3168.982883 9.57984984595 
28.9841 899 9979728.986217 


34;8.9867899.997947|8.998842 
3518.98 8083999793508 990149 
308.989374 9-997922/8.991451 
37 990660 9.99790 8.9927 50 
3888.991943 9. 9978978 994045 
3918.993222/9-997885 3.995337 


51 9.997998 987532 


408. 99449) 9.9978 72996624 
4168.995768 9.9978 59,8. 997905 
428. 9970369.99784 8.999188 
8.998299 9.9978 359. 000465 
8.999559 9597832p.0017 7 
ooo8 169.9978099. o 300 


9.9977 5819.008047 
.009298 
010646 
011790 
013031 
2.119629 9976 14268 
559.0131829. 997680 9.015502 
0144009. 9976679. 016732 


017959 
019183 


019239.997614 9.921620 


N | [ Sine, 


8 


10.998262 10.002178 


10.990702 
10.989454 10.002268 
1 0.986969 10.002294 


— — 


10.984498 10.0023 2 


— 


Secant. 


11.015101 10.C02016;11.017117129 
11.013783 l. 9.58118 
11.012468 10. 00 2041 1.01450 27 
11.1118 10.002053{11.013211 


11.009851 10.002065/11.011917 251 
e | 


3048.981573 9.997996 8.983577|1 1.016423 10.00200M1 1.01 842730 | | 
| 


11.008549 10.00207 
11.007250 10,00209 
I1.005955/10.002102 
11.C04663 10092125; 


11.003376 10.002127 
11.002092 x0,002141 
11.000812 10.002153 
10.9995 35 10.002165 


19.996993 10.002191 
10.995 728 10.002203 


10.994466 10.002216j10.996682 13 


10 993208 10.002225 
10 991953 10.002242 
10.002255 


ö 
10.988210 10.002281 


10.98 23210. 002307 


26 


11.00 9340%½ 31 
11. 00805722 y 
11.006778 21 = 

11.005503 20 | 
11.004232 
11.002964 1 
11. 01701 
11-000440/16| 


10.997931 14 


10.99543 712 
19.894195 


10. 9808 1710. 0023590. 9831) 
10.979597 10.002372110.981969 
10. 978380 10. 00228 10.980765 


* 


Tang. 


| Secanr. 


* 


. 84 Degrees. 


"A Table of Artificial Sines, 
s Degrees. 


| Tang. Secanr. 


. 


ols ,01923519-99761413-02 1620 10.978380[10.002386110.980765 
15 oꝛ04359 9976019. 02283400. 97716610. 0023 
5. 0216329. 997 58819.024044110.975956110.002412110.978 368568 
31S 022825 99757. o 2525 110 97474910. 002426 : 
$9:22491619.997 56119.02645 5Þ9 973545[19-202439119:975984156] 
5.252039 9975407. 0276550. 972345 9-002452110.974797155|[, 
| 619-02638619.99753419.0288521[10.971 148}10.002466]10.97 3613154] - 
79.027567 9.997520 9.0 3004610. 969954. 0247910. 972433537 
809.0287449. 99750. 1237/10. 9687630. 002493J˖0. 97125652 
Nee eee eee 
109. 03 10899. 99 74809. 0336090. 96639 1010. 025 200.0. 9689 1150 
11˙03 22579974669. 03479 Uf. 965209 
1219-03342 119.99745 29.03 596910. 96403 110.002 548010. 966579040 
139. 0345829. 9974399. 037 144/10. 962856 
14.035741 99742 038316 10.961684 0. 
15.035890 9974 11.3948 500 96051510. oo2 589 
169.0380489. 997 3979.040651 10.959349,10.002603 : 
11719 -©3919719.997 38319.041813110.958187!10.002617110.96080,143 
18/9-04934219.99736919.042973Þ10.957027,10.002631 109596584 
199 24148519.997 35519-044130[10-955870 10.002645[10-95851 
2019 04262519.997 34119.045284 10.954716 10.c0765910-957375 
2119-24 376219.997 327% 046434010 - 953566 10. 002673010. 956238 
2219-04439519.9973 1319.047582[10.95 241 8'10 002681110.955 105 
2319-0460261g9. 997299 9.0487 27110.951273 10.002701110.953974 
12419-2471 549.997 28516 049869[10.950131 10.0027 15 10.95 2846136 
259.048 2799.997279. 05 100810. 948992 10.002729. 951721 
2619 04940019.997 2579.052144 10947856 10.002743 10-950599 
 12719-05051919.99724219.053277110.94672 3/10.002758110.94948 1 
2809 05163519.997228|9.054407110.945593/10.002772110.948365 
[2919-95 2748 39991999 oxeorg e 10.002786110.947251 


=o 


399-25 C5227 "29p 25555: 10 943349 10.002801110.946141]36 
| 1 Sine. I Tang. | Secant. .: 
| —— — . 
| 83 Degrees. 

| 


4 4 ö 


Tangents and Secants, 
6 Degrees. 


Tang. Secant. 1 


599.9971999 056659 943340 10.002801110.94614 1130 | 
05496 9.99718519.057781 10.942219 10.002815110.94503 29 l 
-99717019.058900[10.94 1 100,10.002830110.943929]28F 
057172199971 4 069016110, 939984 I0.002844{10.9428 38127} | 
10.938870/10. 88 10.941729 26 il 
10.937760 10.00287 3110.940633 
3 .obog6o ing 063348 10. 936652ʃ10. 00288$|10.93954 


37 061551 9.997098 9.064453 10.935547 10.002902 
3809.062639 997083 9.0655 5610 93444410. 00 2917/10. 937361022 
, 063723 9.990689. 06665 5 10.933345|19:992932 10.936276]z 1] . 


499 06480619.99705 319-0677 52/10. 932248 19.902946 10.935 i94]20 
6588 59.997039 9.068 8460 33115301 .002961\10.934115|19 
219-06696219.99702419-069938|10.930062| 19. 002976, 10.933038 18 
439. 068036 .997009'9 071027110.928973/19- ,002991'10.931964|17 

9 ) 069107 9.996994; 907211310 10 927887 19.0 10.003006 10 93089 3ʃ¹⁰ 


4.070176. 9969799. 075 19 e 96803 10.003021 1. 92982415 
46.012429. 9969649. 07427810 925722 1, 003036 10. 928758014 
4709. 072305[9.996949'9- 07535610 924644 10 003051 10.927943 
489.0733669. 9969349. 643210 923568 10.003066 10.9266 34412 
49/9-07442419-996919'9-977505 1.922450 10003081 19-925576 11) 


| 


5919.C7548 9 996904(9. 0785 76 10.921424 10. 003096 10.924520 
9.07653 39.996889 9.079644 10.920356 10. 003 111 10.923467 
N 7529.077583 .996874;9-080710 10.919290 10.003 126 10 922417 
39 07863 19.996858 9.081773 10.918 2270.003142 10.921369 
| | 2.079676 9.99684 319-082334 10. 917167 18.003157 10.922224 
9.08071919.996828 83891 10.916109 10.003172 10.919281 
081759 9.9968 29.084947 10.915053 10.003187 10.918241 
7% 82797 9.996797 9. 0860 © 10.914000 10.003203 10.917200 
590 0878329996782 9.08705010.912950 10.003218 10.916168 
7919.084864 9.996766 088098 ro. 911902 19.00323410.915136 
99.085894 9.996751:9 9-08914410.910856 10.00 3249 10.914105 
dine. | Tang. | Secant, 


| — — —— — 


11 . 83 Degree. 1 
1 K : 


a 
. 
— —_ — * 


0 © | 


E — 


M n : 


A Table of Artificial Sines. 
5 by 17 Degrees. 


| Tang. 


| 
Secant. 


089144 
090187 
091228 


09.08 58949-9967 51 
19,086922/9.9967 35 


093302 


.092266110.907 734 


10.910856 


10.909813 
10.908772 


10. 9066 


79. 0930375. 99664 19. 096390 
$19.09404 719-996625[9.097 402 


13/9.09905 519.996 5469.102519 
2.100062 . 99653099 103532 


10.905664 
10.904633 
o. 903604 
10.902578 
19.901554 


— — —— — —1 


10.003249 10. 914105ʃ60 
10. 00326510. 91307859 
10.00 32800. 91205358 
10.003296[10.911030[57 
10.003 312j10.910010] 


10-003 327110.90899 2155 
10. 003343010. 90797054 
10.003359. 9 0696353 
10.003375 0.90595 3652 


10. 9005 32 
10.899513 


159. 101056 9965 1409.104542 
1020480 99649809. 105550 
12401 9964610751 


10402 5]19.99646519-107559 
5018 .996 449 108560 


.996417:9-11055 


19.9963849-112543 
.Io990113.9963689-113533 


.11184219.9963359-115507 


1.105992 9.996433'9-1095 5911 0.850441 
.9964009.1115 x 0.888445 


110873 9.9963519-1 14521110.885479 


2719.112809 9.996318 9.116491 
2 9.11377419.996302 9.117472 10.882528 


10.895458 
10.894450 
10.893444 
10. 89244 
10.89 440 


10. 00340010. 90393850 
10. 0342210. 90293 +9] 
Io 00343%110.90193 4148 
Io. 00345410. 90093 5147 
10.003470 o. 899921 
10.00 3486010. 898 94.4145 
10.003502 10. 89795244 
10.0035 180. 896963043 
10.0035 34110.89597 5142 
10.0035 FI 10.894990/4! 


10.8894 44 


10.887457 


10.886467 


: 


10 884493 
10.883509 


10.003567110.8 94008 70 
10. 0035830. 89302739 
10. oo 360010 892049538 
10. 00 3616610.8 91073687 
Io. oo363 2. 8909 
10-003649/10.889127135 
10.003665 10 88871584 
10. 00368 210.8871913 


1.3698 10.8862 26132 
10.003715110.885 263[31 


3019.11 569819 996209 9.119429 10.889571110.003731110 884302130 
| | Sine. | Tang. Secant. 7 
} 82 Degrees. 5 


Tangents and Secants. 
7 Degrees. — 14 | 


Tang. Secant. 1 


— — 
-—- — " 


% 3962699. 119425 10.8805 1 10.003731 10.884302136 | 
99 25275 I20404[10.8795961i 0.00374 110.883 344126 | 

32-9992 35 9.121377110.87802 310.057 38623872“ | 

33 ).11856719-99021 $j -122348110.87 65-j:0.00378;110.55143 3127 [ 
9 996292 9423317 1 850481 29h 1 
99618 5%. 124284 iv 6757:010.003815[1u.87g5 31125} | 
121417 9996. 1252400 87475 [10.00383 2[19.87858 {24 
1223620 99615 P. 1262010 0.873787. 00384 910.8776; 812; ; 
-12330G9.9961 34{9-127172[10.87 282410. 003866110 87669. 22 on 
919-12424819.996! 1715 12813010. 87187 o. 038830 875752421 
9.99 och 12908 to. 8701 (0.003900110.874B13 20 
$119-12612519-99608 ;Þ9.130041[10.86395 9110-00391 7j10.873875)19 | 
0 


— 
* _— 


42/9 12706:19 996059 130994f10.86g00C[10.003934110.872949118 
4319-1 27 993[9-996049[9-131944[10.868056110.00395 1110.872007j1 7 
44.128925 2.99603 21). 2432893010 10852107 10 003968110. 821075 16 
4519. 2129854 9.995015]. 13383 [o. 8667610 00398510. 87014615 
469.1307819 9959999 134783[10.365216 10.004002/10. 8692191 4[[. 
179.1317069. 995980 135720[10.8642 74[10.004020[10 80829413 'F 
48319.132630ſ9-995963[9-13666<10.863333[10.004037 10.867370/12 | | 
+9.9-133551]9 9959402-13760[:0.862395 (10 00405 4[10.8664 49,11 
5019-1 344.7019-995 9281». 138542 10.861458}10.004072110.865530 10 | 

3 99591 i[9-139474110.8605 2410.004080. 864612 


* 
— — ſ— ——— l ——UV— —D — ——ä . xv — 
- 


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1 


w— 
de, 
— 


_—— — 
— * 
—— — 


5119-13538 
529 1363039 9958949 140409i0.859591110.00410010.863597 
53]9-13721419-99587*[3-141 3410.8 58660|10.004124}10.862784 


| 9958559 9.142269 10.90T« 
i5 9.13903 719. 955841 4.143196] n 094 1 52110. 850963 
1; 612-139944'9-99582319-144 121 p< Ld bhi .00417 \10.85005 5 
5719-1408 309 9958069. 145044010. 854956 3 
589.1417549 995788]9-145965110.854034 10.0042 1210. 858246 2 
-14265519.99577cj9-146885110 853115 10.004229 10.8573 ++ J 
143555 9 995 753!9-1478021ro. 3 2k 19.004247 IO. 8:5445| 0 
5 
2 


9 
8 
7 
10 $857731[10.004141110.861872| 6 
5 
4 


10.004194 10 8591 50 


8 


Sine. Tang. 85 aj Secaar.. 


— a _ 


82 Degrees. | | 


mm ah * — kt N „ e 
— — = ® | 


K 2 


7 . — . N 
m 
4 . 
- —— nn... ECT SC EE OE OO : 


8 


5 A Table of Artificial Sines, 


8 Degrees. 

gi s F 5 S { 
ine. ang. ecant. Bf 
1435559 9957539. 147802 10. 85219 7/0. 00424710. 8 56445. 309. 
144453 9.99573 59.148718 10.851282 f 0. 0042650. 855547 '9 319. 
145349 9-99571 149632 10.8 50 368 10. 00426300 854651 58. 3219-1 
14624 3/9-995699Þ9. 150544 19.849456110.004301[10.853756157, Y- 13319 1 
147136999568 109.1814410 848546110.004318 10.852864156 3419. 
| 1480169 99506 -15236310.847637 10. 004336010. 85 197455 65.7 
1489159. 9956469. 153269 10.846731 0. 004354ʃl 0.851085 54 369. 
79 1498019 995628 154174 10.845826 10.004372|10.850198 3 3719+ 
89. 1506869.99560 .155077,10.844923 10.004 390[10.8493 1415 2] 3819- 
E 1515699-995591Þp.15597812 844022 10.004408]10.848431 E 
og. 1524519995 5739.156887 10 84312310. 0044270 · 847 549 4009. 
1151533309 995555Þ-157775 10.842220. 0044450. 8466 79 4199 
1219.154208;9-9955 3719-1 5857 110.841329 [0.004463 10.845792[48 420 
13.5 50839.9955 19]9-159565\19.840435/10.004481 10. 84491747 43]9- 
14 9155977 9 995500 9.160457 10.839643 10.094499]10.844043/46 9. 
1<| 3.1568 30'9-995482 9.161347 10.838653110.004518 10.843 170/45 4519- 
16] 157700}9 995464[9 162236 10.837764(10.0045301 0.842300144 4619- 
1713.15$56919-995 445 9.16312310.836877 10. 045 5410.841433 4-19. 
1809.1 ones 99542719-1640c8 10.:35992[10.0c4573/1 0.840565142 4809. 
PE 1693009-99540999 164892 1.8 10810 004591]10 8395991] e. 
— 3.161 1649.99 5 390 165774 10.634220 10.004610,10.838836140 do. 

210 1620259 995372. 166654 10 833346 O 80. 83797439 De 
22 9.628859 995353:9.167532 10.832468110.004647/10.837115138 $219. 

23 1637439995 334Þ-168499 10 e 10. oo 465.8362577 5355 
240 164 995 3169.169284 10. 8B 30 10 10 004684 10.837400 6 £419: 
| [2519-165454 9.995 2979.170157 10.829843 10.00470} 10.834540]35 5519- 
27 54663079 995789. 171029 1082897 10.004720 833693 34 569. 
2719.16715919.995 2609.171899 10.828101 10.004740,10 83284133 579. 


2819.1680c8j9 995 2419.172767 10 627233 10. 00475910 831992 12 58 9. 
N 9.1688 569.995 2229.173634 10 826360. 4778010. 83 1144831 99 
| 3c19.16972219 29520319-174499 10.825501[10.004797}10 830298]30 % 9 
| | | Sine. | Tang. | | Secant. E 
* 1 


91 Degrees. "P | | 


rt 
\O 


— —— 


Tangens and Secants. 


— — — ä — ů 


8 Degrecs. 


5 Sine. Tang. My | 


— — 


30 26972 9.995203 174499 10.825501 10.004797]to. 
31 1705469: 9051849. 17536210. 82463810. 00481 
32 2713899 9951659. 7622410. 823776110.004835]r0-82861 1128 
133 1722309. .9951469.17708410.822916]10.00485 

3419-17 39709-9951279.177942/10. 10 8220577 10.00487 
3519: 1739080. 995 108g. -178799|10.821: 821201 10.00489:|10.82609 2/25 
3609. 1753786.995070g 9.179655 10 820345110.004911h10.825256|24 


37 -17557819.995070 does 10. 819492 10. 0493010. 824422023 
G. 18136010. 818640 


38 17641 
z 22 20. 182211 10. 10.817789]10.004968 
4019.17807219.9950139.183059 10.816940110- -004987[10.821928|20 9 | 
4119 17890019.99499319.183907[10.816093/10.005007}10,831108 19 | | 

14 


19.995051 


4219-17972619-99497419.184752{10.815247[10.005026 10.8 20273ʃ˙8 


439.1805 59.994955 258797814403 10.005045]10.81948911 7 

9.181374. 9949 39. 186439 10.813561 10-005065|,0 818625156 

— — — — — — — . — 7 —} 

45 .18219619.9949 1 6f9 187280|10.812720 10,005084110.81780 I 
| 


46]9-18301619.994895 9. 188120{10.811880{10.005104[10. 816984]: 


4 P. 183834 994877 18895710. 81104210 005123110 976166053 i | 
48 184651 994857 18979410. 810206 Io. oO 5 43 10.815349 2 I" | 
49 2.18546 9.9948 3 8 9.190629 10. 809371 10 00F 162 10.814533 11 — 11 


col9. 1862809. 9948 1809.191462 10.808 5380.005182 10.8 137 20.70 1 
5119.-18709219.9947981[9.192294|10.807706[10.005201}10.812908 I 
629.1879039. 9947790. 193124 10.806876]10.co5221110.812097 | 
5319 18871219-99475919-193953!|10.806047J10.005241}10.811288 
*419-1895 1919 99473919 194780{10-805220410.005 201 10.810480 


— 
2 


222 


1903259.9947 290%. 195 606, 10 904394 10.005287 10.80967 5, 
2 1911309994700 196430 0 803570 10 Oo zoo. 808870 
| a4 19193 31[9-9946801g. 197253; 10 802747110 005320 10.808067 
58 9.192734. 9946609. 1980740 $01926}to oof 34001. 807266 
:99.19353«419-99464019.198894/19 851106j10.00: 36c[ro.85C466 
$09.19433219-99462019.199712!19.300287]10. 00538 10.806668 

1 Sine. 1 Tang. Secant. 


| 21 Degrces, | ( 


— Tous mm ww 


— — 


| 


——_—— 


1 


k 


; 


110.9203017 994397 
1129.203797 994377 
139.2045779 994357 


1600 
117.2076799 9942749213405 


121]9.210760[9-9941 9 


5]9.198302]9:994519:9. 203782] 
59.199091 994499. 9.204592 
79.199879 9344799 205400 
00 200566 994459 9- 206207 
29.20145119:994438/9-207013 
roſg 20223. 59544159 207810 
208619 
209420 
210220 


1419-20535 


15 206131 9.9943 169. 211875 
2069069. 9942959212611 


189. 20845 209 9942549214195 


[19]9.209222]9-9942 3 319 214989 
2oſ9.209992]9 99421 2}9-215779 


216568 


229.2115269 99471217356 


12319.21229119.994 1 50{9-218 142 
24. 1395 57-9941 29;9:218926 
259 21381819 994108;9-2197 1c| 


269.2145799. 40879 220492 


279 2153388 9540669. 221272 
275% 994045. 222052 
299. 21685419-994024.9 222830 


329: 9.217509 9 994-03 039. 9.223506 


10. 79621710 005481 
10.795408 10.005 501 
10.794600/l10 005521 
10. 787931900554 

10.792987/19.005 562 
10.792183 10.005 52 
10.791381/10.005602 
10.790580I0.00562 3 
10 789780 10.005643 
10.788982 19.905664 
10.788185 10. 00568, 
10. 787389, 10 005705 
10.786659 1.005723 


10.78 580210. 05 740 
19. 10.285011 10.005707 


10.784220 10.005788 
10.783432 10.00580G 

0 782644 10 2 
0.781858 10.005850 
10. 781074 19.00587 1 
0. 780299 10.005892 
10 779508 lo. 05913 
10.778728010. 005934 
10.777948 flo. 0595 
10.777 170{110.00597G6 
10.22 LO. ggg. 


Sine. | 


10.783903 


10. 801698 
0.800905 
10.800121 


10.7993 34 


10-798 £4951 


10.797 765 
10.796983 


10. 7962030 


10.795423 


10. 7946476 


- — — ˙¼ 

| A Table of Artificial Sines, — 
9 Degrees. 1 

| * 

Sine. Tang. Secant. : 
194332 94650 9.4997 1210 800287/10.005386 70.805666 50 5 05 
195129 9946009. 2005290. 799471] Lo. oo 40H. 8048 7659 32 48 
195925|9-994580,9.201345|10.798655|10.005420[to 80407558 35.2 
30 19571999459. 202 590 7978410. 005 440fte. 0286: 
0 197511 1 9945409. 202 29292 10. AJ {ht 10. 8884 10.802489 56 2 


> 
55 


10.793869 
0 793094 
0.79232 


10.791548 


10. 0.7997 7814 1 
10. 790008[40! 
10.789240139 
10.7884 74}z8 


10.787709 
10.286945 
10.786182 
10.785421 
10.78 4662 


10 783146 
10. 7823 282321 


Tang. | 


Jecant. 


86 Degrees. 


12 


37 
36 


e le, . 


33 
34 
33 
32 
31 
30 
2 


Tangents and Secants. 
9 Degrees. 


Tang. Secant · 


2176099. 994003 -22360610.776393 10.005997110.7823911z0} 
.218363[9.99398119-2243$82[10.775618[10.006018[16.781636[29] 
.9939609.225156[10,774844510.006040{10.780884|28 | 
2198689 99393919-225929110.774071010.006061110.7801 32127 4 
220618 9-993918 .226700[10.77330 10.006082 10.779382 26} 1 
-227471110.772529119-0061 03110.778633 25] 1 
.228239|10.771760ſ10-006125110.777885l24t 
-229007110.770993[10.006146110.777139123 
-2297731[10.770226]10.006168[10.776394 2, 
29-2305 3N10.769461]10.006rg r0.775650 21 | 
.231308 10. 76869 ff. 62111. 7749080 
22583309.993 7689.23 2065 10. 76793 5 f. o062321 0.774167 19 | 
.232826 10.767174 O. 0062 5410.773427 
-22731119.993725 9.233536 10.766414 10.006275 10.77 268 17 
2334710. 265655. 6292 10.221916 


22351 e 10.0563 19.1 0.771216] 5| 
4 


2 a 4 


P —— 
; 4 —— ooo 2222 ⁰—„—' . 


— 
——  — — 


"I =” 5 
— — 


2295 189.9936609. 2358 59/10. 764141. 0063 40 10.704814 

2302 529.9936389. 2366 1410.763386 ro. oo6362 10.769748 

2309849. 99361609. 237368 10.762632 10. 0638410. 76901 12 
2317142 993594[9-238120|10.761880 o. oog. 768285 11 

9-232444\9.99357219-238872]10.961 128[10.006428[10.767556þot || 

9.23317219.99355c19-239622110.760378 10.006450[10.766834 

5219-23 3 89919-9935 2819-249371110.759629]! 9.006471 

9 2346259 993506. 24111800. 7588810 0.049310. 76537507 

(419-2 3 5 34919-99348419-241865ſr0.958135|10.006516[10.764651 


9-2360739.993462 ) 24261C|10.757390[10.006538110.763927] 5 
9 236795'9.99344c[9-2433 54[10+756646]10.006560110.76320« 

9.237515 99341$812-244097]10.755903[19.006582j10.762485 
$819. 2382359 99339609. 2448 3910.75 5 161. 6604.761765 
5919-2 3895 319.993 374.2455790. 754421 . 00662610. 761047 
539829999 ./. Gee. 893 
Sine. Tang. | Secanr. 


—_ LAME —.= _ _ 
P a * 
— — —_— — - — _ 


— 
— — 


| 


80 Degrees. 


A Table of Artificial Sines, 


10 Degrees. 


Sine. | | Tang. 


— — — 


— —— 


Secant. | | 


0'9.23967019-993351 9. 246319]10.753681]10.006648(10.7603 3o|66 
24038609 92 24705 7/0. 75 29430. 00667 1610.756961 
10.7 5 2206 0. 00669310. 75889956 
3 9.241814 0:993284 9.2485 30 10.75 1470. 00671510. 75818657 
ED 2425269-993262 9.249264[10.7507 361 0.0067 38[19-757474]56 
5 


2432 3719- 993240 9. 249998110.750002]10.006760ſ10.7 56763J55| 
19-243 24719-993217 9-2507 3010. 74927010. 006783 T0. 756053654 
79 2446569.993 1959.25 146110. 7485 39.10. 0068.534463 
89.2453639.993 1729.752190. 747809 o. 06828. 54637562 
99-24506919-993 149 9.25292c110-747080|10. oog 290i 
1019-24577 519-993127 9.253648[10.746352110.006873[10.753225|50 
119 24747819-993104 9.2543 "4[10.745626|10.006895[10.752522 
129.248 18 19.993089. 255 10c|10.744900 10.0069 19110-75 1819 8 
139.2488830 993059 9.2558 24/0. 744176. 006941 
1419-24958319-993930'9.256547110.74.34<3 (0.006964j10.7 59417 


5 25028209 99391 3lg. 257269]10.742731]10.006987}10-749718 5 


. — - - 
— — — ; — — — — 
- 


.25098: 19 992990ʃ9. 257990 10.74201C110.007010j10.7490201, 
25167719. 992967:;9.25871c|10.741 290110.007033[10-748323].. 
18;9-25237 3]9-992944!9.259428[10.740571110.007056119-7476271, 
1999-253067]9 992921 9 260146[10.739854|10.007079j19-746932 
20 253765 7 992898ʃ9 260862107391 370. 007102010. 746239 40 
2119-25445} 9928759 :61578|10.738422|:0.007125110.745547 
229.2551449 99285 2'9. 262292 10. 737708 10.007148 10.744856 38 
0 255834}9-9928299.263005}10.73699<{110.00717 4110.744 166 
9.246523 99290609. 1.263717] 0. 8.36290 9019410. 10.743477 10 

f 2772119 99278319.26442$8\10.735572/110.007217 
'9.25789$19 9927599. 265138010 734852}10.007 240 

| 25858 9927369 265847 10.734153 10.007264 10.741417 
| 3þ 259261992739. 2665 5510.733449 C08 
84 25995 0 992689 9 2672610. 73273910. 0073 1010.7 40045}, , 
299-26 26063 :[7-992666g 267967[10.732033|10 007334] 
Sine. Tang. ! 


— 
222% ⁰⁵²˙¹¾ te A re Ä 


— 


; £ 
SIS — 1 


[Gee 


= 3 WI þÞ wr 


>| = 


O 


13419-26335 119-9925 7219-27077 


— — 


r ae a od 


Tangents and Secants. 


10 


Degrees, _ 


Sine. Tang., 


51.2613 140.9926439. 268671 
329.26 19949. 9926199. 269375 
339.2626739. 9925909. 270 


309. 26063 309. 99266c 9.267967 


— 


— 


10.737132 
10.730625 


10.729923 


35. 2640279. 992549927147 


05 119.9924 7819-273573 
1919-26672 319.9924 5419-27426 
409-267394[9-99243019-27496 
419.2680659. 9924069 275658 
42 9.268 734ʃ9.992382 9.276351 


4319 2694029.9923589. 277043 
9-27006919-992 3359:277734 
4519-270735[9.99231119-278424 
4619.27 1400[9.99228719.279113 


560. 2740499 9921909. 281858 


479.2720639.9922639.279801 
9. 27272609.992238 9.280488 
2922388 .99 2214287174 


F119 27470809. 992166 9.282542 
$219.27 536719-99214219-283225 
39.276024. 9921 17.283907 
4.27668 19.992093. 284788 
559.2773379. 9920699.285268 
5609.277991 992044 9·28 594) 
5 9.278644. 99 
589.2792979 9919960 287301 


599.2799489 9.991971 9.287977 


9.286624 


10.729221 
— — 


to. oo7404 


10.007451 


þ 


Secant. 


10 007357 
10.007381 


t o. 07428 


— 
10.732033[19-007334110.739367[;0f 
10.738686|þ,c 
10.7;z8008,8 
10.737327þh 


10.007475 
10.00749 


10.7359] 


10.735297. 


10.734682 


10. 00752210.73 3945 


10.72364 
10.722957 


10.718141 
10.717458 
10.716775 
10.716093 


10 715412 
10.714732 
10.714053 
19.713375 


6110.007570 


10.00754 


10.007618 
to. oo 7641 
lo. oo 5 


to. oo 7786 


1.233222 
10.732605 
10.731935 


10.730598 
10.729931 
10.729265 
10. 729800 


10. 7279363 


1072727 
10.226612 


10.007810 
10.007834 
10.007858 
10.007882 
10.007907 


10.007931 
10.007955 


10. 71269 


9.28059919.99194.7Þ-28865 2 
3 Sine. 


Tang. 


10.007980 10.721355 


10.008004 


10.725951 
10.725292 
10.724633 
10.723975 
10723318 
10.722663 
10.722009 


10.720703 


10,712023[10.00802910.720052þol 
[0.71134 10.00805 3110.71940fÞq 


Secant. 


1 


79 Degrees. 


˙•»„ñ⸗ 


10. 73126677 


L 


— — — 
„ — — *. 
n -< — = 
— hd 


» 2 1 
— — 


— 

= 
\ 1 
36 


o — 
- = 
th Cn... wma cod the 


—— 


_ * 


A Table of Artificial Sines, 


11 Degrees. 


Sine. 


286408 


280599 9.991947 
281248 9.991922 


28 3836 9.9918239.292013 
284480 9.991799 9.292682 
2851249 991774'9-293350 
2887669 


Tang. 


5 


9917499.294017 


1.287048 


10 


2919-299034 


2933999 


3e[9-29965 $9.991193 98463 
J Line. 


29733 


9.991218 9.307815 


288652 10.711348 
28923610. 710674 
281897 9.991897 289999 10. 10001 
39.282544 9 9918739 29067110. 709329 

283190 9 9918489.291342 10. 20865 


10.707989 
10.707318 
10. 706650 
10.705983 
ee eee 
9.991699 9.298349% 10.704651 
287687 5916749296013 

288326 — 1649 9.296677 
288964 9916249. 
.28960019-9915999-298001110.701999 
.29023619-991574.9.298662[10.701338 
.29087 019.991 54919-2993 22[10.700678 
.291504!9-9915249.2999$0[1c.70c020 
292137 9.991498 9 30063810. 699362 
2.292768j9-9914739-391294119.698705 
991448 9.30195 1010.698049 
[2 1/9-294029 9-9914229.302607[10.697393 
229 294658 9.991397 9.303261110.696739 
[23]9-295286]9-991372'9.303914{10.696086 
[2419 295913 9 991346 9.394567119-695433 
125 296539 9.9913219 3095218110.694782 
20.297164 9.991295 9.305869 10.694131 
127 .297788 9.991270 9.30651 
2819. 298412 9.991244 9.307167 


10.703987 
10.703323 
10.702660 


10.693481 
10.692832 
10.692184 


10.691537 


Secant. | 


- 


10.008152[10.716809|56| 


10.008177|[10.71616g55 
10,008201[10.715520ſ54 
10.008226110.714876|53| 
10. 00825 10.714234 
10 00827610. 7135925 


— — 


10.008301[10.71295 2150 
10.c08326110,712 312149 
10. 083510. 71167448 
10. 008376010. 71103647 
10-008401110.7 10400 
10. 084260. 709764 5 
10.008451]10 7091 3( 


10.00847 

19.008502 
10 008527 
10. 008552 
10.008577 
10. 08603 
10. 08628 


— — — 


10. 70849 
10.707863 
10.207231 
10.706601 
10.705971 
10.705 342 
10.704714 


10. 098654 
10.00867 


10.704087 


10.703461 3 
10.008705110.702 836 
10.0087 3010.702212 
10.008756110,70158 
10.008782110,70095C 
10.008807110.700345 


Tang. 


| Secanr. 


a 


3 


78 Degrees. 


—_— 


— 


| 


x 


2 


| Lon GE . 4K 2 


Bees eee ee —— —̃ͤ KK— 
- 


— we mw» ww 


i —— —— 


1 eee my OS We > WI. wA 
— 


No — — ͤ wæw1¹btuwʃr — 


— ——— — — — — É——ä—— —_ — 


ö 


308463 


310398 


1 311042 
311685 


312327 


15956 
309754. 10.e08859 


312967 
313608 


314247 


— cu _ — 


31615 
316795 


46.309474. 9977.318697 
179.3 1008099907 509319329 
489.3 1068 5|9:999724[9-319961 
499.3112899:99969719 329592 


5 


| Tangents and Secants, 
11 Drees. | 
= Sine. Tang. | Secant. 


10.691537 10.008807 10.700345 


10.690891 10.0088 33 


10 689601 I0.c08885 
10.688958 lo. oo8g10 
10.688315 100 8820 
10.687673 10 008962 
10. 68 7032 10.008988 


10.683841 10.009118 


10.68 3205 lo. oog 1451.69 235 


1.882720 10.009171 190.6917416 


10.691133 
10.6905 26 


10.681936 10.009197 
10.681303 10. 009223 


10 680670 10.0c9250{[10.689920 


l 0.680039 10.009276;1 0.689315 


0.6294 10.00930310.68871 


311893!9-99967119-32122210.678778 10.0093 29 10.688 107 
517 93124959 990644/9.3218 5110.678149 19.00935 5j10:687505 
5210.313097 .99061819-322479110.677521 10.009382\10.686g03 
53] 31 369819-99959119-323106[10.67689410.0c9409 10.686302 
549 314297  99956519-323733110.676267 19.009435|10-685702 
” 31489 9.9905389.3243 580.675 οοεα˙ 10.685 103] 
565.3 18495 9˙/99051 19.324983 10.67501 10.0c9488 10.684505] 
71 3 1609 219-990485 9-325607 10.674393/10.c09515 19.633908 
58 .3 1668819 9904 89.326230 10 67376910 cog5 42 10 683324 
59931728 9 99043 19.326853 10.673147 I0.009569 10.6827 
317870 998849274724 C5019 9225 10 682121 
1 Sine. [Lang. I Sccant. 
2 | 78 Degrees, © | 


| 


10.697251]25 

10.696636]24 
19.69602 12 3 
[10.686392 10.0090 14}ſ0.695 4072 2 
10.635753 LDS 
-314885|10.685 115 10.00906 

-315523110.684477 10.009092 


M 


Er 


n. [o „eee © 


\ — cond * ts. tht. 
—— . — — ub —— 4 — — —— <> wy 


Aa mm. * 


A Table of Artificial? Lines, 


Tang, 


990464 327474 
193184739. 9903775 328095 
29-3190 19 9993514 328715 
39.3196588 9903240329334 


69-321430]9-990243[9-331187 


'9.3202491[9-99029719-32995 313 0.4 
59.3 208409. 990 5c. 330700699 


79. 3220199.99021 5.331803 
99.322605 .99918819.332418 
22 -323194{9-99916119-333033 


| 12 Degrees. 


10. 10.602525 
10.671905 
10.671285 
10.670665 
10.67004.7 


10.668873 


Secant. 


— — — — — 


[0,.009596[10.682121 
10.009622]10.681527 
10.00964911 0.680934 
19.009676]1 0.680342 
10,009703[10.679750 
10.0097 3 my mlSS ox 
10,009757110.678570 


10.668197 
10.6675 8 


10. 666967 10. 0.00983 


109. 323780 9-990 136 
119.3243665 990 1079.33425 
129.4 3249509. 9900799. 334871 
13 9-325 53419-99995 29.335482 
14'9-326117(9-99202519.336093 


158.3267006. 9899975.3367 
169.3272811 9.98997 09.337311 
179.3278620. 989942.3379ʃ9 
189.3284425 828335 9.338527 
19 9.32902 3290212 99988719.339133 
209.3295995 „989860 339739 
229.3307539. 9898040 340948 
97755787 9.341552 
2 . 
.33247819-98972119-342757 
2609.333051 989693[9-343355|ic 
28h 3341995 98963719-344558 
Large 9 999695 . 


2119.33017619.98983 29.340344 
331903[9-939749]Þ9-342155 
2719-333624{9-98966519-343958 


.33 364610.6663 54110. 0.009866 


10.009784110.677981 
10,0098 1200.677393 
10.676896 


10.676220 


60 
59 


51 
50 


58 
57 
2 


55 
54 


53 
52 


50 


10.665741 . 009893 
t0.665129110.009921 
10.6645 18]10.009948 
10.663907110.00997z 
1c.663297]19.010003 


10.675634 
10.675049 
10.674460 
10. 10.67388 3883 


10.67 3300 


10.66268 
10.662081 
10 661473 


10.660867 


(0.660261. 
10.65965 

10.659052 
10.658446 
Ae 


10. 5 
10. = 


10.654843 
'55110.6 #4245}19 


10 2 


E 
av 


10.010196(10.669247 
enn 19 88355 


Dine. 


Tang. 


—— 


— 


2 — 


77 Degrees. 


Tangents and Secants. 


12 Degrees. 1 | | | 
5 Sine. Tang. | { Secant. | | 
; 1 co Rem | | E | 1 . 
3000:335 33 719-98958119-345755|10.654245|10.010418]10.664663|z301, WA 
510.3359069. 9895 5319-34635 3[19.65 3647 10.019446[10.664094Þ2g] / I 
329.3364 7 519-9895 25]9-346949[10.653051119.010475]10.663525ja8 * 
3319. 33704319-938949719-347 545 10.652455|10.01050310.662957I27} . i | 
349.33 761019-989469(9-348141110.651859}10.010531110.662390}abt WAY 
3519-33817 989441 -348735|i0.651265|10.010559110.661827]25 | | 
369.338742!9-98941 319-3493 29[10.650671110.01058710,661258j2 | l 
10.650078. 010615 10. 660693 23 1 | 
10-649486110.010644|19.6601 29122 | | 
28 10 648894110.01067 2[10.659566]21 | 
49.34099619-98929919-351697|10.648303j10.010700[10.659004|2 41 
41 9.341558 .989271 .352287110-647713]10.010729 10.65 8444 IC | 
4219. 3421 1919-98924 3 9.352876|10.647124/10.010757110.657881118 | 
4319.34 26799-9892 1419-35 3465109-646535|10.010786110.657321 
45 9.343239.9-98918 9-354053 10.645947]10.01081 l 0.656761 16 } 
4519.34379719-9891 5719. 354640]! 0.645 360|10.010843]10.656203Þ1 5 1 
499.34435 59-9891 28[9.355227110.644777]10.010872]10.6556g5)1 
4719.34491 219-98910019.355813 10.64.4187|10.010900jI0.655o88 13 1 
4319.3 45469(9-98907 119.356398j19-643602110.010929h10.654534]12 | 
490 346024 98904219.356982[10.643018}10 or0958110.65 3909501 4 
50 9.34657 9.9890149. 357560. 6424340. 01098610. 65 342 llt 1 


$119.34713 9.988985 
529. 34768 719.988956 
988927 


9.35814910 641851110.011015 
9.35873 110.6412690. 011044 
9.359313 0.64068 70.011073 
.359893]1 09.640 106G}19.011TT02 
$360474110.63952610 011131 
36105 3{110.638 947 0,0111 

.361632419.638368 10.011189110.6495579] 
36221 10.637 79,1121 10.649008| 2 
3627870. 637213 10.011247 0.64845 
-363364 10.63663610.011276[10.647 12 
2 Tang. | Secant. 


— Pe EL r= = = 
w hs ow = Leal a> —— — — ——— 


— 


77 Degrees. 


A Table of Artificial Sines, 


Tang. 


2.988724{9-363 364 
[9.98868 5.363940 
9886659.364515 


312-35 372 
354271ſ9 28860719-165664 
 £19-35481519.98857819.366237 
.98854819-366810 
9.988519'9-367382, 
9.988489(9-367953 
9.98846019 368524 
9. 98843009. 369094 
9.988401 369663 
9883718 .370231 
9.988 3418.370799 
9.98831219-371367 
9.988282/9-371933 
372499 


79.355901 
89.356443 


139359141 
1423899878 


98863609. 365.6349 1010.011364 
10.634336]12:011393 


10.633190110.011452/10.644642 


13 Degrees. 


Secant. 


— — 


——— ů — 


10.011334;10.646819 


| 
| 


10.633763]10.011422/10.645185 


10.632618110.011481 | 
10.632047110.011511 


| 


10.627501[10.011748110 639248 


373064 


374193 


9185.982831 
oe [ Sine. 


209. 
0 


373629 626371[10.011807|10.638178 


91961906 


10.52693 5110.011777110.638713 


10 625800 011837 10.637644 
10.625 2440.011867 /f 0.637111 
10.624684110.011897j16.636578 


10.622997]10-011987110.634984 


10.622437110 012017110.634454 
r0.62187 


10 01216810.631815 


Secant. 


| Tang. 


* 


59 
Fs 
10.646274 7 
10.6457295 
55 
54 
10.644099 53 
10643557572 
10.631476 011540%10-643016'5,| 
0. 630908 10.011570ʃ10.64247 to 
10.630337]10.011599 19.641936l,g 
10.629768[10.011629110.641397 4 
10 629201[10.011658 10.640859),- 
10 62863 3110.011688[12.64032 11,6 
10-011718[10.6397851,; 


wn 


(0.62411 10.011927[10.636046]; 
0.623558. o11957110.635515), 


10.012047j10 633925|: 


6 


8 


. vi 


76 Degrees, 


cm 


| hs. * — 


, 
* 
9 


— 


4 
15 


Tangents and Secants. 


13 Degrees. 
| 


— — 


| | 


399.368185 987831 9.380354 10,619646 10. 12168010. TT 
59.368711 987801 9.380910|10.619090 10.012199 10. +63 3289/25 0) 
3 36923 19-9877719. 381465|10.6185 34/10-012229/ 10.630764/28 


Sine. Tang. | Secant. 


— ——— LOS 
— © - 


WA 


—— — 


ö 
| 339.3697619.9877409. 382020 10.617979110 012260 19. 63023927 
; 3417 370285 0.9877109.3825 382575|10.617425|10-012290,10. 629715, 26 
9876799.383 1280.616871 01232110.629192 25 | 
9876499. 383682119.616318|10.012351|10. 628670 | 
9876 189. $384234{10- 615766|16.612382) 10. 628148 23 4 | 
987588 39475 10.615214 [0.012412] 10.627626 22 | : 
| 
| 


———— — — ” = 
6 2 . l 3 


98752238827 7110.614663 10.012443 ro. 627106021 
5 10.61411210.012474/10. 626586170 4 


N 

| 

| 

0 400 37341 
) 4119-373933 
8 4219+ 374452 
7 4 349-37497© 
5 429.37 5487 
5 

4 

3 

2 

ad 

0 


9874959¼3 86438010. 613 562.0250410. 626069 19 
9874659 38698710. 61301 3.¹ 1253010625548 
.987434'9.387536110-612464|10.012566/10. 250 0% "1 
98740319.388084 10.61 1916 19.012597)10. 10.824713 * 4 
10.611369[19. 01262810, 623997 15 | 
40 9.376519 98734119. 10.610822[10.01265910.62348 1; 
10.610276|[10.01 269 
10.6097 30[10.012721 
Xi 110.609185 re.ol2752110-62193711 
:c19-37857719.987217 391359] 0.608640110.0127$3'10.621423'10 
}110.608097]10.01 hen i] 9 


o 7 
— — 


82 — — * . 


= 
py — 


8 929379601 10. 60755 [to. 9128450. 2039 NJ 8 

7 5319 3891139.9871249. 10.607011 .01287 0619887 

6 4.3 8062 2927092 1110.606449]10. 01299810.619378 6 4 
5 55 4331134 49. 39407 30.6059 270.0 12939ʃl0. 618880 1 


34 9.3816439 98703019. 394614110.605386110.012979110.61835 4 
33 575 3821629.98699809.3951 54% 0.604846. 0 οον0 . 617848 
52 5855 38266olp.98696) .395693|10-604306110.013033/10.617335 
31] 15939-3833 168/9.98693619. i962) 3110-603767[r0.01 306410. 600838 1 
30] Fos 383675þ.98690g9.396 10,603225/10.01 3096j10.61632 


Sine. Tang. | Secant. 


- — — — 


21 2 76 — 


8 


——— 


A Table 


of Arti 


ficial 


— I” ICI tn. 


Sines, 


Tang. 


39677 1 
397309 
397846 
398383 
9 986776.393919 
5.38620 19 986746. 399455 
9.399990 
7 3872079 986683 400524 
89.387709 9.98665 
99.3882 10 9.986619 9.401591 
0 388711 9965879.402124 
3892119 986555 40265 
1219.3897119.98652319-403187 
r319.390210'9.98649119.4.03718 
399708 9.9864.59]9- 494249 


15 -3912069.98642 9.404778 
3917039986395 405308 
179.3921999 9863630405836 
998633 19.406364 
9.98629919.406892 
9.98626619.407419 
3941799862349. 4 7945 
3946739. 9882.408471 
239.395 669.9861699. 408996 
239889 986137 f 
25 .39615019.986104}9.410045 
39664 1}9.98607 {9.410569 
2719-397 13119-9860 39 9.411092 
28 een 
299.3981119 985974941213) 


2019-39368 F| 


Sine. | 


22 3986009 988942 .412658 


14 Degrees. 


10. 60322 

10. 60269 
10.602 154 
10.601617 
10.601081 


— —ũ—ͥ— — —— — 


10.600545 
10.600010 


10.599476 
10.598942 
10.9840 
10.597876 


0.59734 
0.596813 


10.596282 
10.595751 
10.595222 
10.594692 
18.424789 
10. 593636 
10.593108 
10.592587 
10.592055 
10.591529 
10.591003 
D047 


10.539959 
19.589431 
10.588908 
10 588385 
10.587863 


10.587342 


Secant. 


10.01 3096 
10.013127 
10.013159 
10.013191 
to. 013222 


—_ 


— 


10.616325 
10.615818 
10.615313 
10.614808 


10.614303 


0.013254 
10.013286 
to. 013317 


10.013349 
10.013381 


0.013413 
10.013445 
10.013477 


10.613799 
10.613296 
10.612793 
10.612291 


10.610789 


10.611290 
10.611289ʃ5%0 


— 


58 
57 
56 
55 
54 
53 
F2 
FI 


9 


10.610289],8 


[0.033509 


10.013573 
10.013605 


10.013637 


10.013734 


10. 609790 


7 


1001354110. 609292 


10.6087941z5 
10.608 297144 
10. 607804; 
10.013669/10.607305[42 


10.013701119.60680gþ 1 
10.606315 40 


1001376610. 605821039 


10.01379 

10.013831 
10.013863 
10.013895 
10.013928 
10.013961 


10.013993 
10.081402 


10.1408 


| Tang. 


10. 60483 
10.604342 


10.605 327 38 


37 
36 


10.6038 5003; 


10.603359 
10.602868 
10.602371 


10.60 1400 
Secant. 


78 Degrees. 


34 
33 


32 


10. 601889031 


30 


Min. 


4 


FOI 


—F 2 N * — 
Tangens Secant s. 


14 Degrees. - 
1— — — 


09.403455 
419.40393˙ 
29.404420 


9.40538 


9.4072 


1 4077 


5019-4082 5: 7955295 422973 
þ 9. 40873119.985247/9-423484]] 
9.409 2075 9852139 423993 
53 4096821 0 985180 
49.410157 9-985 14 ; 
5041063098571. 42551 ö 

42602 710. 5737973 10. 814921 0.588894] 4 


9.4115798-985045[9.426534[10. $7346 10914955 2 1725 3l 
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9412524 


Pop. 412996 N.9849 


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9.406341 985414 
2 N e 421440010. 578 56910. 14615 9.93180 14 
9853479421970. 57804810. 914653 19.59270111% |» | 


2 98531. 


5.98497 


Sine. 


zolC 39860019 985942 712658 10. nh 10 7730 7 D46c 

31[9-3990338[9.985909(9-41 31790, 586821 10.014994[1 9 
3219-3995 7519-985 87619-41 3699[10,586301]10,01442 | 
3319-40006219.98584 3 
34/9 4995499935811 
359.4010359 98577819. 
3619-40152019.985 745 
3 719-49200519.985 712 
38.402489 9.985679 
es ge 


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414733|10.585262[10.014485 
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415775110.584225110.014255[19.598480 
416293110. 1 5 19.597995 


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4 41681 10.5831 10.01433 19.5975.11 
.417320j1r0.58267 N10. 01 10.597028 


| 


4 


419387] 10.58061 3jt0,014 


417842110.582157 0.91438AI%-59654.5/26 
41835 | o.581642[10:014420]19,596062]1% 


.418873]10.5$112 9.595580 
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4209 27. 57907 


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- — — —_— — ——— — .— — — —— — — ———— — — 
— _—_ 


9.422463]10.577537110.014686}10. 222223 


10. 577 02 8.477 10.591740 IC 
10.591269 
10.590793 


10.5903 18 
110.585 a 


424503 
42 Jolie:; 


*** — — 


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E Tang. — 7 Seca. 

| wee N | 

| © 2412995 984944 428052 10.571947/l 0.01505 10. 58700 8 
119-41 346719 98491 019-4285 57110.571442[10.0150go[10.5865 33059; 
41393819. 98487619-429052[10.570938[10.015 124010. 55626258 

3 9.41440 855 984842 9-429566[10.5704.34|10.015158]10.585592 571 

9.414878 98480815 2-430970[10.56993c[10.015 192 10.585 122156 


| 
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45 41534719-984774(5 9.43057 3/10.569427[(0-015226]19.584653]55 
f 
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9.416283[9-93470619-431577110.568423 
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19 41727; 2974611 9 432580110. 19.56742c 10.015362]10.582783j51 
4009 47 5417684 5.433080 10.56692c|10.015397h10.582316[50 
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1244 5.41861 8.984 555 43408 0ʃ¹u 0 56592c|10.015465[10.581385 8 
11 47257584580 9434579 10.565421[19.0155ooto.580920 
1 24195449 984456 9.435978): o. 0.56492: | 2215525 -2.58 
| '1$19.42000 719-9844 3 21s 435776 10.564424 
14 4204709 9849756 436073! 10.563927 9.015603 10.57953 
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; 8 4213 90844289 437067, 10.562933]10.015672[10.578605[42 
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9942227 9842595 14395 10 561941110.01 574111057 7682[40 
19. 42277809. 98422405 438554, 12.561446|i0.015776110.577222139 
5 42123 9 984185 9. 439048 10. 560951110.0158 1010576762138 
19.42369719:98415519:439543/10.56045710.015845110.576303137 
.984 t 2019-440036;10. 559964110 015880 19.575844136 
| 246 98408 555 -449529110.559470[10. 197 8J,877388J 5 
8 87 9.984 Fos -441022j10.558 578 
122 425535 98401515 44151410.558485/10.015985 10574476 
1 1 1 42598 998398065 -442006[10.557994110. 016019ʃ10. 57401332 
5 5 96575579 442497|10.557502/10.016054/10.573557131] 
| 39420825 689 98 3970k 244298011 0.557012]10.01608g10 57310) 
| | F - ine, X —— = 


Tang. 


E — 34 Parte 


— — 6 „ En 
mw 


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1 
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Ky 


© o—_—— p — - — . —ʒ—Ej6—ᷓ— _ 


Tenge and Scan +> ARE 


| —_ - — —U—U—Um H — — — 


. 5 Degrees. 


23244 On i a 


Tas | 


.42689 5.98391c[9.442985 
427354 88547 443479 
325.4278099 9838409. 443968 
4282639 5838585 444458 
34 FTI ora 


4291709.98373 59.447435 
4196230.9 $379919-445923 
.430075 983664 


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3919 4329789 98 98359419-44738 


40 9. 4314299983556 9.447870 
419.4318799 9835239.4483 56 
4219 432325; 98348719.448841 
08 295220 99345 29-449326 
9 433226j9-98341619.449810 


, 
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10.553589 10 51673 
3809.430527 9.98 3625 222115 
84 


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459-434122(9: 9833459450777 
9 9833099.45 126 
9832739.451743 


9.983 2029.45 2700 
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9.43989719-98287819.45791 
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499-4354629-983238]9.452225]10.547775110.016762 


57524 ' Trinye 10. 544893010. 01697 
9829869.45 558610. 544414, 10.017014/19.561424 


-98291449.456542[10.54 3458; 


— 


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10.5 57012 10. 16889 19.57 57310139]; F 


(0.556521 10.0161 2419. 5726469 


10 556031 10.016160 fe. 57219126 


10.555542 10. 0161998. 57173787 
(0.555053 10 16230ʃ/l9. 19.571 28325 


10.554565 10. 0.016265 10.570830' 5, 


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10.569925/23 

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10.552130,10.016442 
10.551644 10.016477|10. 55812119 
10.5 5115900165130. 56767118 
10.016548]19-567222[17 
10.550190 10.01658 4510-54 110. $66774 16 


10.549706[10.0i 6619110. 56632515 
19.549223|10:016655|10-565878/14 
10.548740|10.0166g1]10-56543111 
10 54825710.016720110-56498411 
10.5645 38/1 1 
10. 5472040 ON 798|10.5640g2h0 
10,016834j10.563647] 8 
10. 77 10.0168 7010. 56; 2020 8 
10. 5458520. 01890 fle. 562758 7 
19.548372 10.018942 19.8231. 10.56231 


— — 


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10. 70.561871 


1©.543936|10.017050(T9.560g86 
10. 017086, to.560544 
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Tang. — 


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1 1 


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= Table of Artificial Sincs, 


—— — cams. 


16 . * 


© -4423389-9928429-457496110.54250410.017158, 
440778 98280519.457973110.542027 10,017195 

| 2]9.441218]9.98276919.45844 
| 3]9-441653Þ9-982733/9-458925]10.541075 10.917267 


wy | 
| Tang. Secant. 


0.541551 10 017231 


10.559662 
10.559222 
10.558782 
10.558342 


4420969-98269619.459409]10.545600 10-017324/10.557903|56 
$19.4425 35]998266019.459875110.540125,10.017340|10.557465155 

9.44297319-98262319.460349|10.539651 10.017375 10.557027|54 
119-44341019-98258719.465823]10.539177 10017413010. 556590 3 
8 443847 93277 48129 7ſ10 538703, 10.017449 10.55615 3152 
' 32444259 .98 9.98251419.461770jr0 10.538230 10. 1.17480 19. 2 


4447 2000 9824770 46 462242 to. 53775810. 0175230. 555280 50 
445155[9-98244119.462714/10. $37285,19-017559110.554845/49 
* 4455909 9824049. 463186010. 5 368 140.0175960. 554410048 
39.446025 9823775 -46365810.536342110.017633110.553975|47 
44.645919.982331 9-464128[10.535871 10.017669 1 Al 
5.446893 982294 464599]10.535401110.017706[10.553107]zc 
169.447 3209.982257 9.465690. 5 3493110. 01774 3010.552674 
447759998 222099.4655 3910.5 34461. 017780 fe. 552241 
19 44819119: 98218319.4660c8[10. 533992 10.017817]t0.551809 
199448623 : 9821455 4664760 F33523/10.017854110.551377 41 
95.466945 10.533055 61789100. 5 50e 

1.44948 5982072. 46741 3 fo. 532587 o. 0179 28 to. 5505 89 
29.4499 1565 .98203519.45788cſ10.532120 10.0 17965 0.5 5008 88 

| 468347110.531653{10.01 8002 10.549655 37 
196 468874 10.531186 0 0180391 9.549225 Flo 
' Þ516 8 998192409. 469280 109.539720110.018076]10 548796 35 
46974610.530254|19.018114[10.548368|;, 

470211 10.529789 10.0181511109-54794<|33 
470676 19.528323 10.018188. 547512032 
2919-4 5291 5| 9.981774 471410. 52 859/10. 01822610. 54708551 
zolo #53342 ) 931737 4 160 ff. 528395 19. o18263[10: 54665 F81;0 
"Sine. | Tang. Secant. 


1 2 — 


73 "Degrees ILL? = .. 


_ 


„ 
19144 ³˙ w „„ 


* % * - my * Ss. = 9 vo # . e 7 4 % * —_ * o 


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„* 


16 Degrees, 


—— — 


5 Sine. 


— nn OO — —— 


30'9.453342]9-9817 37 
30 9.453708 9816 

329.4541949, 981662 
339.4461 . 9.981624 


35 


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1 | 


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9.472068 10.527931 10.01830 


7 4.98 17879.4734 10.526543 
899 


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471605 10.5 e 30 | 


47253210. 527468 10.018338 


472995j40.527005j10.01837$|10.545 381 27 

10.918413 19.5449 
4554699 981549 47391910. 526081 10.01845110. 544531 25 
369 4586939981512 47438110.5 25619 10.018488 10.544107 


379.4563 169.98 1474%ë474842 10.5251 $6.1 0.01852610.543684|2 3 


0110.546233 29 


10. 54580 28 


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3919-45 7162 9.981 39919-475 763 10.524237 


10.018564 10.543261|2,| 
(10.018601110.542838 2 7 


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20 


42 
43 


.45758419-98136119.47622310.523777 10.018639 10.54241 
5 2 5 9.98132319.476683 10.5 23317 10.018677 


458427P.98 1285.477142 104522858 10.018715 
458848998 1247.47 760 110.5223990 018753 
9-45 9268]9-98120919.478059,19-521941 10.018791 


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10.541573}18} 
10.5411521x7 
10.540732 16 


45.459688 9.98 117119.478517110.521483 10.018829 10.5403 127 5 
469.460 1089.98 1133.478970. 210250. 01886710. 539892014 


4609409 98105 79.479889. 0.5 20111 10.189430. 539054/12 
4909.461364 9810199. 480345 10.519655 10.018981 10.53863611 


——— — — ſ— — nn———_—_—e—— 


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19 4605279. 98 109519.479432119-520568 10.018905{10.53947311 3] 


.46178219-98098c19.480801 10.519199 10.019019110.53821 10 
4621999. 980942 94612571 0.518743 10.019058UT10.5 37801 
10.518288 10.019098 0.53738 
9.98086619.482167/10.517833 10.019134ʃ10.5 36966 7 
9.482621,19-517379 10.0191 ee 6 


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— 


A Table of Artificial ines 


1 17 Degrees. | 4 
Sine. | |__| Tang. | Secant. 
4 
019.46593 519 98039694853 3910.5 14661110.01 9404 10.534065 60 


19.466348 969805589 485791|10.5 1420910. 019442010. 533652 55 
ü 9.46656 19.980519 9.486242 10.613758 10.019486 1010.533239 58 
39 4571739.9804809. 48669310. 51 3307110 019520 10.532827j;; 
9.45758 y19.98044119.487143/to.512857Þ10.0:9558[10-532415i56 
| 9.4679969-980403'9.48759310.512407 16.019597]10.532004'55 
4 49-468407;9 9803649 488043 10.511957 10. 19636010. 531 993074 
719-4638 179. 980325 9.48849 210.5 115081001967 5[ 10.531183 53 
8 9-469227:9.9802869.48894. 10.511059]0.0197 14119-53077 3j5 2 
bu 4 9.46963 719-980247'9 489390/10.5106r 10.01975 3[19-530363(5x 
þ | I 9.470040/9.980208(9.489838 10.510162J10 o19792]10.539954)5 
11119-47045519 9801699.490286110.509714Þto.01983 1to. 53954 
3 12,9.4708639.9801 3019 490733 10.509267110.019870[10.5291 37148 
11 3:9.471271.9.980091'9.491180[10.508820 10.019909]10.5 2872947 
; 149-47! 678 9.985052 9.491 $27110.508373|10 019948[10.52823 4 
115,9-4720669.980012,9 492073110.507927[10.019988[10.52791 45 
69.472492 9-97997 3/9-492519110.507481[10.020027|10.527508[44 
17 9.472898 9 979934'9.492965 o. oo; qt 020066[10.527101143 
I 8.9 473304 9-979895;9.493410 10.5065g010.020105]10.5 2669 42 
199 4737109-97985519.493854[10.506145 10.020143 10. 5 26 290ʃ41 
2009 474115 .9-979316\9.494299|10.505701[10:020184}t0-525885 400 | 
21 9-4745199-£7977619.494743/10.505257010.020224010.525481]35 
2 9-474923.9:979737.9-495186|10.504813110.020263110.525077|38 
23 9.475327 9.97997 9.49563c|10.504370Þ10.020303[10.524673 37 
22 2799.979679 9 496073110.503927 3 
259.4761 339.9796189.496515 10.503485}10.02038 10.523867]35 
269.4765369 9795789 4969570. 503043 22.234644 
27 9-476938,9-979539,9-497 399 10.502601110.020461J10.523062];5 
23 9-4773499-979499.9-497841110.502 e 10. 522660 


n ä 


* 
ate 


- * _ * 
ü ²——— — — —————— 8 


- 
©= Aur 


„ r 


29 9477741 979459 9.498282 10.5017 18hro 020541]10.522259zj 
132 9:478 1429979419 9-498722110.501278 10.02058 to.521858 30 


| j Sine. Tang. 4 Secant. 


| © 72 Degrees. = 


rr 


rere 


eee 


iin. 0 — 


| 


Ir 


— — — 


9.47894219-979349 
4791429 9729299 
94297419.97926 


— — ä - —— 


9 4812 


-$0048 1[10.4995 1910-0207 


9479142: 91919419 498722, 10. For 278/10.02051 ez 10 


499163ʃ10. 500537 10. oa 


992019-52145 29 
4996030. 500397 10, 620660 


10. S106 N28 
-500042'10.499958[10.020700|t0.5 2065 827 
10.520258 26 
500929 10,49908 19,0207 19.519860 


501359 19,498641 19.0298 9125519461 
501797/10. 498203] I 0.020860) 19.519063/23| 


9 4813349 979100 $932 35 10.497765 10.9209981H908 22 
.4$1731/9-979059/9 -$02672 10.497328 19.9 10.92094H 19.518 2682.1 


4825259 978979]Þ9-593546,10.496454/10.1 021021, 19-5 1747519 
|; 15 , 
482921 9789 503982 10. 496018010. 021064, 10.51 29118 
; | 
q19.483316,9.97889819: 504418, 1117801 -021102,19,5 68317 7 
$419 483712 9.973858 -504854 19.49 5146 10, 0211. 


44019978777 9.505724 10. 494276010 5217233 LO, 5184994 
1. 4846959 97873 506159 10.493841/ 10.0212 

465289997869 50659 10.49 74% 19.0213 
485682 922888 2227 19.492211 82134. 


486055 9.978615 .507460 19.492540,10-021385 10.8139 a5 10 


1655 162886 | 


| 


{9.432128 979019 503 109 1.49689 10. 20981 11782 


„ TIE 


486467 9:978574'9-507893 10.492107/10.021426119.5135 33), 9 

-4868599-97853319-5098326 19. 49167410, 021467419.5.1.3440]. 8 
F 2 4b72s 1 9-978493p-508759 1949124 10.02150 1 7. 91 
b 2492643 9.9784529-509191 10.49 10-92 1548, 

4.488033 9-97 8411 -509622 19.499Z78 10.02.1589; 14 Oh. 5 
5619.488424'9-97837019.510054,10.4899g610.024 9.54437 4 
254568149 9)53295 5104891048951 5110-02 1671} L0.5,LL186}, 3 
9439204 9.978 2589 510916 10.4890 10.021713 2 2. 

48959399782479·5113 461.4065410 125 e 1 

289982 9 978206, -51177610.48822410.0217 181 0 
5. Sine. Tang. hy” in 
12 1 9 72 | Degrees * 


. 
ST; - ae a — ,, TR FY _————T Y TY Tx os "__ 
* * o * * — 


cu ww EEE * 
— 


A Table of Artificial Sines, 


| 


2 


18 9.496919 9.977461 


18 Degrees. 


Sine. Tang. 


31777 
512206 
512633 


0 9.48998 29.9782 
: 19.495371 9.978165 


39·191147P. 
| 49 491534:978042]9-513493 
519-49 192 215 978001[9-513921 
39 492308 9.97795 51434 
794926950 977918 514277 


2299 Lam tt 
127 e 9.977794 IG 
119-4942 3619.97 77 5219-51546 4. 
9462019.977711 516910 
139.4950059. 977669 9.517335 
14249889 495388 9.977628 517761 


15 9-495 772] 97758 518185 
16949615 9.977544. 818610 
179.4965370 9.9775039.5 19034 


519882 
520305 


299. .49730119-977419| 


20. .49768219-977377 
19-4980631 977335 
22 9.498. 19.977293 
49882. — 97725 1 
2.422204 977201 
4995 8439-97716 
.49996419-977125 
.500342[19-977083 
.50072119-977041 
-50109919-97699 
501570 9.976957 


521151 


9 521995 


52327 


5240 


5130640. 486390 


10.485223 


51945861 0.480542 
10.480118 


520728610. 479272 
10.478849 
52157310. 478427 
10.478005 
522417/10.477583 
522838/10.477162 
10.476741 
5236790. 476320 


27548 


10.469 224 


10.487794 
10.487365 


10.486507 


Secant. 


10.021794 
10.021835 
10.021876 
16.021917 
10.021958 


10.486079 
10.485651 


10.484796 


10. 484369 


10.483942 
10.483516 
10.483090 
10.482665 
10.482239 


10.481814 
0.481390 
10.480966 


10.479695 


10.475 0 


Sine. 


10.022790 


10.0219 

10.022041 
10.022082 
10.022123 
10.022155 


10.022206 
10.022248 
10.02228 
10.022331 
0. 0223720. 


10.022414 
10.022456 
10.022497 
[0.02253 
10.022581 


10.022665 
10.022707 
10.022748 


10.022833 
10.022875 
10.022917 
10.022959 
10.023001 


10.02 2623/10. 


10.5088 5357 
10. 50846556 
F0.5080705 5 
10. 507692564 
10.507 30553 
10. 50691952 


10. 5092415854 


10.5065 34154 
10.5061 495g 


10. 5057644 
10.505 379148 


1110-594995144 
10. 504612 


3 
10.501175}; 


10.5004 16135 
10.500037134 
10.499658[33] 


10.498901 


Tang. 


10.02304 3 


Secant. 


— 


71 Degrees. 


— 
— 


RES CRE = Sana 4. ©,  OI_. — 


1.500796 f 


10.49 793 
—.49824% 


28 


» . — 


* 


IKA 


e D 
9 * * 


2 ® 


1419. 505608[9.976489 9.529119110 470881 
14219.505981 
143]9-59635419-976404 9.5299 500.470 
[449-5967 2719.976361 9-530366 10.4696 


E Sine. 


——— 


— — ry 4 
— —_—_— * 


: 


—— — 


— 


18 Degrees. 


. — * 


I Tang. 


— P—̃— — 1— 


30 Jorg. 78017 9.5245 2010.475480 
31.5018 549.9769 149.5249390. 47 50 
3219-50223 119-976872 9.5253591109.474641 
3319-502607|9-976830 9-525778110.474222 


3519-503360/9-976745,9-5266151]10.473385 
36]9.503735]9-976702 9.527033[109-472967' 
3719-5041 een 1110.472149 
389.9504485 976617 9.527868 10.472132 
399-5048609-976574 9-528285110.471715 


4019-50523419-97653 29 528702110.471298 


.976446 9.529535110-470465 


3419-502984/9-975787-9-526197[19-473893[10.023213 


Secant. 


10.023043 
10. oa 3086 
10.023128 
10.023170 


10.023255 
10.023298 
10.023340 
10.023383 
10.023425 
10.02 3468 
10.023511 


59. 50747119.976275.9-531196110:46880 
4719.50784219.976232 9.531611110.468389 
4319.50821419.9761899.532025110.467975 
4Y9.50858 9:-9761469-532439 10.467561 


* 9.59709919.976318 9.530781110446921 


509.5895 
5 9. 5093269. 976060 9.5 332660. 4667340. 23940 ff 99. 

10.023983 0. 49030 
10. 024026010. 489935 
1224118 09 
5 5.5 108039975887 9.53491 6010. 4650840. 02411310. 48919 
Is619.51117219.9758449-535328119-46467 210.0241560. 488828 
57P.5115409.975800 9.53 5739/10. 46426100. 0242 ; 
po) $7579-536150[19-463849110.024243/10.488093 


529. 09694 
5119.5 10065 


5419-5104 34 


i5 9.51190 


976103 9.532853ʃ10.467147 


9760 179.5336790. 466321 
9759749.5 3409 10.465908 
229930 9-534524119-46549 


10.023554 
10.023596 


10.023639 


10.023682 
[0.023725 
10.023768 
10.023811 


10.023854 


— A 


10.4985 24 


10.497769 
10.497392 
©2:427916 
10.496640 
10.496265 
10.495889 
10.49551 


10.4947 56 
10.494392 
10.49401 7 
10.493646 
10.493273 
10.492901 
10.49252 7 
10.4921 5 

10 491786 
10.491419 


10.023897 


Tang. 


10.4910 


71 Degrees. 


ͤ»„Lö— 


— — — 


N 


vt}, | 


4 — : 8 " i 
- " : a ” — 
„ „ 1 bo . —— — * s SY * * — 
9 Ta * 2 5 4 24: * 
TLTliuangents 8, - 4 
A * 1 N ” fo ME 5 «+ £2 "1 — * * , 
— — K — _ i 
* v4 .- * * „ ” 
- ">... 


> oo A” 2 ——᷑ —w——ü% — oo — —— — — — 2 
- 
um > "I b 


- 


, 
. 
— . — oo 
— — . 


7. 


O wad. 


— ww = 


"2 
\ 
: 
: 


"8 —A Table of Trrſßels S ps, 
1 | | 19 Degrees. 
1 f 
1 = Sine. | | | Tang. | Sean | : 
ir S / : 
1 | 99.5 126421[9.99 567 336972 0.43028 10.0243 30.487 358050] 3 
' | 119-5130091[9.97562 $37382/10, 462618110.02437 3110.4 86991}59 Z 
| 2.513375 9755839. 53779210. 46220 10.024417 10 486625 58 3 
| | 319-51374119-975539f9-538203|10.461798|10.024461'10.486259]Þ57 ; 
| 42. 9.51410719.97 549619. 538611 10. 461389 10.024704 1.4858 485893 Fl 3. 
J 1 5.514472 9.975452 .539020/10.460980[10.024548 10.485528 5 3 
| 14 514837 9754689539429. 0.460571 10.024592 10.485 163,6. 0 
9.5152029.975365 5398370. 460163 10.024635 10 48479853 3. 
alc -$15566{9.975321/9-549245110.459755|io. 24679 10.484434 0 3 
| [9Pp:51593919:97527719-540653/19-459347119-924723 'r0.484070[51 — 
1 reh $16294 9:975233 541061 0.4589 390.0247670. 48 3706 + + 
41155 51665 7 9.9751899.54 146810. 458532 0.0248 1110.483343 bo 
| 1219 5170201[9-97514519.541875 10.458125110.024855 10.482980 48 +2 
* 95173828 97510119.542281119.45771 10. 2489 10.48 261847 [+3 
Ii. 2 22529 542688 10.457312 io. 024943ʃl0. 482255 6 +4 
| 15]9-518107 -97501319-54309 10 456900 10.024987 10,48 18935 15 
fich. 5184680 97 9699.543499. 0.4560 oz 54815344 4 
15 1882999749259 543905["0.456095110.025075[19-481 17953 2 
| 1819.5 191909 974880,9.544310|' 0.45 5690[10.0251 20! 0.4808 rof#? M 
1919-5195 5119 97483: 9.54471 20455285 42 
; 209.5 19911 JO 
> [2119-520271019. Fr 
2219.52063 119. | 52 
| 2319 52099019.974659{9.546331110.45366 5 
[ 7 


547943/0. 4520 025511110.477 57633 


54834/045165 
515777 10451253 


10 02556410. 4772195 
19.02560g[10.476862[37 
10.025653110.476505}% 3 


Tang. 


17 70 Degrees. 


— — 


Tangents and Secants. 


19 Degrees. 
Fr } a git 
Sine. Tang. Secant. 
$23495 9.549149]t0.450851[10.025653110.476505|zol 
52335219.97430219.549550 10.450450 10. 02 5898 to. 476148 20 


10.4500 
10.449648 
19.449248 


+97497719-551552 
97493219-551952 
9.5263399.973 9879.552352 
: 19 97394219-5 52750 
$2704619-97389719.55 314 
527400 97385 29.553548 
.$2775319-97389719.55394 
439.5281059 97376109.5 54344 
- $28458/9-9737199:554741 


469.5291619 9736259555536 
179.5295139 9735809.555933 
489.5298649 97353 55.5563 29 
129 53921519-973489]9-556725 
509.5305659 9734439857127 
719 53091 99733 989.5575817 
2 4c 878820 7775 
539 5316149973307 9.558308 
1419-53196 319-97 326119.5 58702 
559.5323129 9732199. 59097 
109.5326619 9711699.559491 
579.53 30099.973 124.5 59885 
559.53335 719-9739781g.560279 


599.533792419-97393219.560673 


+59 5288 109.97 36719-555139] 


10.448847 


10.44565 
10.445258 
[0.444861 
10.444464 
10.444067 
10.443671 
50443279 


10.025788 
10.025833 
10.025873 
10.025923 
10.025 968 


10.026058[10.473307[21 | 


to. 2623 


10.026329 
10 026374 
10.026420 
10.026465 
10.026511 


10.025743[10.475792]288 | 
10.475436 
10.47 o8c 20 


10.474725 
19.474370 
10.474001 
10.47 3661 


19.47295 

10.47 2600 
10.472247 
10.471895 


10.471190 
10.470839 
10. 470487 
10.470136 
10. 469785 


10.44287 


10.442483 0.026602 
10.442086 0.026648 
10.441692 Io. 026693 
10.44129%/f 0.02673 


10.0265 5 


10.440903 
to. 44050 

10.440115 
10.439721 


Sine. 


1 | i 


Tang. 


10.026785 
10.026831 
10.026876 
10.026922 
10.026968 


10.468735 


10.469435 
10. 469085 


27 


25 
2 


23 
221 


| 
20 | 
ro} * 
r8} | 
17]. 


10.026284110.471542|16 


15 
1 0 
r3 

I .: 
11 
10 


10.4683 de 
10.468036 
10.467688 


10.467335 
10.466991 
10.466643 
10 466296 


10.465948 


— 


* 


0 8 „ # 


| | 10.439327 
. 9.9729889.561 es 


Degrees. 
e 


N 2 


* 


A Table of Artifi 


— O—_— 


cial Sines, 


20 Degrees, 


Sine. 


Wh 
5 


i 99.534052 
14 7119-53439 
1 29.534745 
J 35.535091 
19-535437 
$19-535783 
9.53612 
719-53647 
89.536818 
99.537163 


2 


I 


1009.537507 
1199.537851 


2.971889. 22738 


97298 69.56 1066.0. 438934 10. 02701410. 46594860 


9729409. 56 145910. 438541 0.027060 f 0.465601 


972894ʃ9.56185 1010.438184 10.0270 1046525558 | 
10.43775610-027152110.464908157 
.97280219.562636 10.437364 10-027198 10.464562156 


97284 9.5622 


97275 5.563028 10.436972 1007245 10. 464217565 
97270909. 86341910. 43658 110.0 27291010. 463871064 
.972663]9-563811110.436189 19-027337[10.46352 

97261719-564202110.435798 10.027 383|10.463182 
972579Þ:56459210.435407/19:92743 


—_ — 


9720589 568873 


9.97177619.571195 
9.97172919.571581 
9.97168219.571967 
9.97163519-572352 


.97252419.564983 10.435017110.02747 
.97247719-565373110.434627,19.027522110.462149 
.97243119-565763110.434237/10.927569110.461806 
.972384[9.566153]r0-433847 10.027615110.461462 
.97233819-566542[10.43 3458 10.027662 10.461120 
9722919.56693 200.43 3068 10.027709110.460777 
972245 9.5673 2000.432679 1000277550. 46043 
9721989 567709110.432291(10.027802}10.460093 
97215 1.568697 0.43 190210. 02784 
2.972105 9.56848 


10.431314 
10.431126 
2119.54127219.9720111[9-569261[10.430739 
2219.54161319.97196419-569648|10.430352 


16.027895 


10.027942 
10.927989 


10.028036 
10.028083 


| 


10.028130 


10.429191110.028177 


10.428805 10.028224 


10.42841910.028271 


10.428033 
10.427648 
10.427262 


10.028318 
10.038365 
10.028412 


10.462830 
10.462493 


10.459751 
10.489410 


10.459069 
10.458728 


10 458047 


10.456690 
10. 45635 
10.456013 
10.475670 


10.458387; 


. 


10.457368 
10.457026 


di ne. 


Tang. 


| 


| Secant. 


__—_—— 


69 Degrees. 


4 


4 
4 
4 
wy - 
4 
4 
4 
4 
4 
5 
5 
F 
g 
E 


| 


- 


4 A i ia i in uw 


e — 1 * cee 


2 


* 


= = nem 


—  RI——— Tj — 


Tangents and Secants. 


20 Degrees. 


Sine. 


40 


4 


52 


5 


— 1 — —— — 


9.5443259.97158 
9.5446639.971 5405.573123 
545 00019.97149319-57350; 
545338 9.9714469.57 38920426108 
3419-545 67419.97 139819.57427610.425724|10.028602}10.454325[26 
3519-54601119.97135119-57466c|10.425340[10.028649 
-54674719-97130319-575044110.42495 

.54668319.97125619-575429110.424573 
.54701919.97120819-57581c110.424190110,028792 

+$4735419-971161 9.576193 10.423807[10-028839 
.54768919.97111319 576576 
4119.54802419.97106519.576958110.423041 
.54835819.97101819-577341 
4319-54869319.97097019-577723119-422277110-029030 
4419-54902719-970922 9.578104[10.42 1896/10.029078 
5493609 970874}9-578486[10.421514/10.029126 
.54969319-97082619-578867[10.421133]10.029173 
4719-5 5002619.9707 7919-579248[10-429752010.029221 
a819.55035919-97073119-579629] 0 42037110. 029269 
4919-5 5069219 970683 ).58000g9]10.419991119-029317 
509-5 5102419.97063 5.58038 
5119-551356]9.9705 $61]9-580769110.419231[10.029413 
9.55168719.9705 3819-58 1149[10.418851 
5319-55201819.97049019-581528[10.418472119-02951c 
5419-552 34919-97044 2195819071104 18093110.0295 58 


© [$5]9-552680 


5 


— 


5799.553340 
5809.5 53670 
59.5 54000 
0.4322 


55 3010 


97039 


tht DA Mts. 


Tang. Secants 


— 


5727380 0.427262 0.028412 
10.426877j10.02846 


10.028696 
10.028744 


10.423424110.028887 
10.028934 
10. 4226591 0.028982 


10.419611[10.029365 


10.029462 


5822860U10. 4177140. 029606 
970346 .-582665 
-97029719-58 304.3] 9-41695 
.97024919-583422110.416578[10.02975 j 
.9702001[9.583800]10.416200[10.02980c 
970152 9.584177 10.41 5823 10.029848 
Sine, | T 


10.417330. 029655 


10.029702 


Tang. 


10.426493|10.028507[10.454999]28| 


10.453989 
10.453653 
10.453317 
10 452981 
8 
10.452311 
10.451976 
10.451641 
10.451307 
19.400923 
10-450Ghs 
10.45030O 

10 449973 
10.449641 


10.449308]: 


10.44897 


10.448644 


10.448313 
10.447982 


10.447651 


10.447320 
10.446989 
10.446659 
10.446330 
10. 44600 


10.445671 


| Secant. | 


69 Degrees. 3 


| Min. lo = » w.+ | 


L 


—— — — 


— — —— _—— — —̃ ̃ Ü—Eä—— gʃH— — 


8 „ 
—— — — —— 


. © 5M h E Begress. * 


1 | | 68 Degrees. 


129. 558158 


13. 56020719. 90927 


39.555315. 
19 5 5586429. 1441 
5559719. 969 90g. 386065 to 413938 Io. * — IG; 444919 


9.35029 96986 


99.556973 969762 58719 10.412810/10.03623 8 


10 44468 


2520439110. 413561110.03014 . N 


2.8 5 5728019.96971419.58756610.412434|10.030386[10.442720] 
nee _— 
50 


10 9.55 55760619. 


1 5879410. 41 205910. 030335 10.44239 
11 N 


588 3160.411684. 003038410. 442068 
969567 9.58869 0. 4113050. 03043 310441742 
139 5530559 9695 18!9-58906C[10.410933[10.030482/t0.44141 


49 
48 


47 


— — 


149.85 39099 2-96946 


159. 5592349. 9694200. 589 589813 to. 4101860. o305 80 10.440761 
169.5595589. 9693709. 590158 10. 409812 o. o30630ʃ¹ D- 440441 
79.559883 9.96932 109. 590562. 40943800 030679 10.4401 I 
eg 3 5[!12-499065[10.030728[10-439793 
2 31 239.591308[19-408692110.03077-[10- 0.439465 


279 3658559965175 59168 1010.408319 0. 030827 to. -439145 
9.561178 9. 9691249. 59 205410. 407 2225 5 2g 


.$92426110.497574]' 0.030925[10-43849 
03 0501924,9.969035 59279811 0.497201|10. 030975|19.438317 
8 . 5931701 40682: 10.031024Þ2:437854 


. 589440 10.41056c}10.030531119-441092146 


45 
44 
43 
12 
4 | 


40 
39 
38 


2 


155 5.562468 9 98892 -$9354210-406458)10.031074[109-43753! 
* 


e 


48289 968678 595397]10- 404602 10.031322 to. 0.43592" 
| Sine. Tang. * Secant. 


» 4 _ 3 


562795 9.9688 779.5939140. 406086 n 4372100; 

10. 436885, 37 
| 59465C 10.405 344 10,03122;[10:43656*]; : 
925 5637869. e 39 οhο.iονẽ˖j½οο 1272004362455 


= 3 , 3 


- 
— — — — 
. * ** _ 


— —— — = WI — —_— 


— 2 * 


Tangente and Secants, 


21 Degrees. 


Tang. | | Secant. 

595 397[10.404602 10.031322110.435925 

968628 -$95768110.404232 10.031372[10.435605 

9685 7819.59613 + 403862 10.0314220.435284 

99685289. 596508 0.40 3492 10. 031472 

P. 5653569 95847319.596878/10 403122 10 10.031521110.434644 
-$6567619.96842919-597247[10.402753 10-031571110.434324.2 


10.434964'27 


— 


30 


29 
28 


26 


10.429564 
10. 42924 


9-570435]9-96767419.602761|10.397239 1.03232 

9.570751 9.96762 39.603 127010. 396873 10.032376 
(9-5 71064 9-967573 9.603493[19.396507 1.242) 10.428934 
19.571 38c $M; yl wh 10.3296142 19.032478j10. 428620, 
I5.57169519-96747119.6042 >3 10:395777 12.03252900 10.428305 

9.57200919.967 420 604588 10.395412 10.03 32579\10.427 427991 
9.57232 319-967 37019. 6 e 395047 10. ph = 2s 427677 


p-572636]9-96731999.60531 ir 394683 10.032686 10.427364 
9.572949 9.967268 9.605668 210. 394318 10. 032732/10.427050 
9.573263 225 606046 10.393954 10. 532763426737 


5 
459 
45 
Fe 
55 
6009.573575 8188 9.6064 10/10. 32205 n 


1014 


— — © 


„ 


ar 


- 
Amp — — 1 n 


* 
_ — mn Ow 
_—_—_—_ 
_ 1 


dine. | Tang. SGecant. 


3 4 


E Degrees. tl | 2 | | 


e œ N...... ⁵˙ wVÄ am lc 


579.9683 799.5976160 402384 10. 03 162 118.4340054 

5663 1405 5 1þ 9602709 59798 5[10.402015 10.031671110.433686!23 N 
. ; 8 59035410. 40164610. 931722433360 24 

r 10.031772 18433849121 i | 

10.400909 10 03182210. 432731120} } j 

10. din 10.031872 10.432413/19 {1 

10.400173!10. .031922,10.4 32096 18] 1 

6001940. 39980 10.031973 10.43 778 \ il 

19-5685 3919.967977;9.600562[10.399438 10.032023 10.431461 mis 191 

9.56883 56 5 600929}10.39907 110.0 207; 10.431144 0⁰ͤ 0 

499-5691 7219 9678769. 60129610. 398704 10.032124110.430828|1g! IN 

14719-56948 819-9678 26!9.601662 10.398337 19.032174/19-430512 13 4 

p. 5698045 967775|9.602029]10- 397971 10.032225 10. 430196, © in 

9.570120 9.967725 9.602 395|10. 22288810 . — 429880 11 17 


— — H— | — 
A Table of Artificial Sines, 
22 Degrees. PET Bier | 
—— _ 4 # * 2 | 
= Sine. þ Tang. Secant. | 
— — No — — 


019-57 3575/9-96716619.606410[10.393590110.032834110.426425 
.573888[9.967 11519.606773[10-393227]10.032885|10.426112]5 
219.574.200/9.967064[9.6071 37j10.392863110.032936110.425800 
319-5 74512/9.96701 219-607500[10.392500[10.032987]10.42 54880} 

$74824'9.965961 9.607863110-392137110.03303: 10.425176 
5$:9.575136 9.96591019.608225/10-391775110.03 3090 1 42466455 | 

575447 9-96685919.608588[10.391412[10.033141110.424553(54 
575758 9-9668071]9.628950/10-391050[10.033192[10.424242(53 
819.576068 9-96575619.60931 2/19-390688[t0.03 32 
3.5 76379,9:966705[9.609674112:390326110.033295]19-423621151 
576689 9-96665 39.6 100360. 38996410. 0333471042336 
119.5 76999 9.96660 9.610390. 3896021 0.033398 10. 42300104 
1219-577 309,9-9665 5 0lg.6tv75u0.389241110.033450/19-422691/48 
13 2.577618/9-966495 9.6i1120110.38888c|t0.033501119.422382/47 

TS 9.61148010.388520]10.033553[19-422072'46 

5 


8 * 4 


jus W WW wo wn f ry way 4 + 


— — 


1519-578236(9-$6639519.611841|10.388159]10.03 3605 1042176445 
| 9.96634419.612001110.387799]10.033656[10.4214.5 5/44 
1719-57885 3/9-96629219.612561110-38743810.033708 10.421146/43 

18 .579162/9-966240 9.612921j10.387079]10.033760(19.4208 38041 
| 15p-579469/9-966188]9.6r328110.386719]10.033812]19.430530/41 
2019-57977 7,9-9661 3619.613641[10-386359]19.033863|10.420233|g0 
9.966085 3.614000 * 
2219.580392/9-96603319.614359110-385641[10.033967[10.419608'3 
2309. 5806999. 96598 19.614718 
oog. 29. 4271119-418995136 
2519.58131219-96587619.615435]10-384565110.034124/10.418688)35 
269.58161 819-96582419.615793110-384207]10.03417 10.418382 3 


9657 209.6165090. 38349100. 342800. 4177710; 
299.5825340 565668 .6 1686710. 38313 3ʃ0., 3433210410466 
zo 58284 9.96561 5.61722 19-382776119-034385110.417i60'3 

1»; | Sine. Tang. | Sec ant. : 


67 Degrees. 2 


»y 2 


"_ 


| N Tangen 


ts and Sccants. 


Sine. 


34'9-58405819,965 40619. 


$+4/9-58708519.964878 
4519-587 38619.9648 2 
46]9-58768819.964773 
14719 58798819 96471 


—  - — 


96429 
96424 


9.59158 


Sine. 


Secant. | | e | 

— — 
10.382776 
10.382418 
10.382061 
10.38 705 
10.381348 


10.380992 


5828409. 96561 0 
5831449 96556309. 


8 
10.034385 10. 41716030 
10.034437 104168552 

10.034489 10.4165 5 128 
10.034542 £2.41624627] 
10.034594 10.41 594226] 
10.034647 10. 41563825 


10.380635 


10.37992 10034805 194147 28/32 
1 0.3795 68119.03485y 1.414425 
10.379213 10.034910 10.4141 23 
10.3788 5800.034963 10.4138 2019 
10.378503[10.035016110.413518 18], 


10.378148 10.3 5089 10. 21617 
10-377793 10035121 62129 15he 


10.377085 
10.376731 


10.035387:10.41 1410/17 
110.035440'10.411T10 
10.03 549 uw 0. 410810 
10 03554610.410571 


10.035659:19-409912 
10.035706,10.409613 
10.035760,10.409314 
10.035813. 40901 
10.035867. 408715 


6264450373555 
9.59098 49 96418719.626797110.373203 


96408019 627501/10.372499 
9.964226]9.62785 2110 372148 
| Tang. 


10.035920 
1003 * ꝗ 22 


10,034699 10.415330 
0.034752,10.415034,23] 
21 


20 


10.035174 10.412613 T5 
10.035227 10. 41231 14 
10.035280 10.4120 r; 
10.035333 SY 


— 


1c 


I0.035600/10.410211 


10.408420 


© w How þ a av © 


Secanr. 


—_—_— = gon 2 


0 


6 7 Nog FEES. 


— 


— 


a —— — — — 


. — — — — — — — 
— — — 
* 
py * 
* - 
- - — 
C1 . as - TS * 1 


— — — * 


-* a 


—_ —— —— . 


— 


_ Table of Arrificial Sines, 


23 Degrees. 


Tang. 


| 5918789 9640269. 627852 
'19 $921759 963972,9.628203 
'29-592473:9-96391919-628554 
5927709 9638659 628905 


12409. 59895 2'9-96272719. 636226) 


$9396719-96381119.629255 


59425199 3596 630656 
594547,-2-35 3542 ELL 


12/9, 154452 3852775 632053 
13]9-595727,9-963325/9-632401 
1419-59602 2119- 963271 9-632750 


104372148 


10.371797 
10.371448 


10. 371095 
10.379749 


10 370394 
10.370044 


10. 36969. 
10.369344 


| 


_| Secant. 


10.035974 
10 0360 8 
19.036081 
10.036135 
10 036189 
19.036243 
10.036296 
10.0363 50 
10.036404 


10.356899 60.036458 


10. 368645 


4 10. 368296 


10.367947 
10.367598 
10.367250 


10.036512 
10.036566 
0.036620 
10.036675 
(0.036729 


r Ca 
1519-596315 9963217 9.63 3098 
1619-5 96609/9-963162'9.63 3447 
17% 596903 9 9631089.633795| 


189-5971969-9630954 9.634143 
19'9-597490 9-96: 9929999 634490 
| 9:59778 39-962945; 9.634838 

2119 598075 9628909. 635185 
2209.598368 9 962836963532 
230. 98660 9 9627819.658879 


2519-55 5992449. 96 79 63 36572 
269. 59953699 62617636918 
2719. 7998 279 962 5629.637265 
150 601160 9625089 637611 
299.0000. 06 624529637956 
10.00 o. 2398 638302] 
1 Sine. A as 


10. 366901 
10.366553 
10. 366205 
10.365857 
10. 0.365510 


10.936783 
10.036837 
10.036892 
10.036946 


10. 0.365162 
10.364815 
10.364468 
10.364121 
10 363774 
10.363428 
10.36308 
10.362735 
10.362389 


10.362044 


Tang. 


10. 03700 
10.037055 
10.037110 
{0.037164 
10.037219 
19-037273 
10.037328 
10.037383 


10.407824 
IO 49752 
10 40723 
10. 406933 
10.406637 
10.406341 
10 4060 
10.405749 
10.405453 
10.405158 
10.4048 
10.404568 
1.404273 


10.4897940 


10.403685 45 


10. 4033914 
10. 40309743 
10. 452803 42 


10. 402510 
10.402217 
10.401925 
10.401632 
10.401 340 
10.401048 
[0.40075 


i 0.400464 


10.037438 


10 400173 


10. 0374920. 40988205 


10.03754710.409591 
Io. 0.361698 10.037602|10. 10.409300 


| Secant. 


10.408 12260 | 
| 
5 


5 
57 
56 
55 
54 
$3 


52 
1 
5 


50 


3481 
48 


+; 


4! 


40 
39 
38 
37 
36 


35 
34 
33 

2 
31 
30 


66 Degrees. 
* . 


\ 


_ —— 0 


= 


— —— — 


| 
| 
| 
| 


1 ˙ oa C oo om[ioa oa foo cococmuwul coco coo ᷑łĩ wVß; . A ER 1 _ S. N 


— — 


— — VECOCY — 


1— 


n 


8 Tangents and Secants.“ 
| 23 Degrees. 


— 


=| Sine. | + Tang. | - Secant. 


—— ͤ — — 


Seel 2.633302 10.361658 10.037602 
oog 9623439.638647%10.36135 310037657 
60 128049. 9622889.638 9920.361007 0.037712 
60 157009. 96223390.63 933710. 36066201 0.037767 
6018609. 9621789 63968 210.3503 1810.037822 


.60214919.962123 '9.640027110. 35997 3110: 037877 
9.602439/9-962067'9.640371110-359629!10.c3793 J 
3719-602 728.9620 120 640716119-359284)10 037988 
38 .603017!19.961957 641050/10-358940,10.038043} 
39]9:993 39519-96 1922]; ).641404 19-358596 10.0 10.03 38998 


4019-603 794961886 641 747/19 3582 $3110.038154 


187 0 


10.398410 
10 398140 
10.397850{? 
10.397561 
10.397272 
[0.396983 
10. 2227 


o. 3964 


4119.6038829.951791/9.642091 10.357909110.038 209 
#2 6041709-961735/9.64243419 35756 10.038264 
e 9516809.5427771119-357223j10. 038320 
604745 99615249.643132 12.155880 10.938375 

i 96050329. 9613 5699. 643463 19:356537[10.033431 
E .356194110.5384837 
2 6056059. 991458 9. 644148 10.355852{10.038542 
95058929 961402'9.644499 10.355510 
PEER 3469.644832 10-3 355168} 
99.606465 9 961299/9.645r74 10 0 3548 1619.03! 038710! 
* 53675199612 3519.645516,19-354484, 30 93 38765 
720.5734 9611799645857 19 354142110 035821 
5319-597 3229.96 1123'9 646199 19:3 53801[10.038877 
14.5 7579.951067 9 646549 10-3 353469]12 938933 
55 6079.961011. 643881 10.353119110 038989 
5619-698 1 76} ) -Y>C955 9 647222 b©. 352778 
579.68 96: 9999 647562 1935243 10,039101 
589.608 74519.95-843 9.647993 19-35 2097119939157 


10. 2.039654 


Fine. Tang. 


10 038598070. 391108012 


10.039045. 


595. .6ogo29 9 950786 9.648 :43 19.35175 7110.039214110.390997 I 
609.609313 9.962730 9.648533 12.351417 10 039270110.390687! 


10. 39611919 
10. 3988308 
10.398430 
10 87851 
10.394938 15 1 
1/19.394681['4 4 
131 - 


19.394394 


10 > 393821110] 


10.393 $35] 
10.393249 
10.392964 
10 392578 
19.39239} 
10.392108 
10.391823 4 
10.391531 
10 391255/ 


Secant. 


is 66 Degrees. 


* a. 
1 — — Ä — 


— 
—— 


2 


—ͤ—ũ—30 — 


f A Table of Artificial Sines, i [ 
44 Degrees. ; 6B | 
i bb hoy 61 


Tang. | Secant. 


Sun} — — Z—u— 


9.9607 309.648 583010. 3514170. 0392.390688 
6095 979.9606749. 6489230. 35 10% 0.39360. 39040 35 
9606189.649 263010. 350% 3 to. 3938 2110.3901 20058 

96956119-649602110.350398| 10.0394 3 
244919-959505 .649942110.350058 10. 0394951. 


e 10. 3497194 0.039552 


9603929. 6502010. 3493800 0 39608 
960335. 65095 fo. 34904100. 039665 
.9602799.65 1297110. 3487031 0.039721 
l 969222196516 651630 19.345 354[10.039778]10.34 
19:9.96016\'9.65 '974110.348026110.0398 34 
960 099.6523121 3476880. 03989 
960052 9.6526+10.34735 
9.61 298 309. 959995 '9.652988|10.347012[10.04000 

9. 613264 959938 9:4 653326 10.3466; 4[10-940002 io 380736146 


959881 9. 65 55 3653 10 346337 10.040118 10.386455 45 
9.613825. 9598259 65490910. 346000[10.04017 5[10.386175144] 
9614195 959766 9. 54337. .345662}10 c40232110.385895]43 
614385 9 9597g1/9.6 65467410 345326 10.04028 10.383615[42 
6: 466519.95965 19.65501110 34498910. 44 85335 
10. 38505640 
615223 9595399. 65568410.3443 16110-04046 1110. 38477713 
6155299594829. 65, 343980010 0405 18110 384498538 
51578119 979425% 6503 5610. 34364416. 4 5750 38421969 
2419-616060 959367 8 10. eee 08 985 z6 
10.383662]; 5 
26 6166 69.959253 657364 10. 342 63610. 040747110.383384134 
61689419-95919519.657699 10. 342301,10.040805}10.38 3106}; 3 
1:819.61717219.95913819.658034'10, 341966 10. ebene, 382828 54 | 
4299.617450 3.959080 65836910. 34163 1 10.04. 919,1, 38255051 
g eie 341 296 10.0 10.040977 10. 382273130 
Tang Secant. 


Aar 


s £3% 4 in wa i at 7 i 44 ww 


— 
ss Degrees. 2 


| 
1 


47 FR: 
49.678834 295.7929 
9587349. 


.660042}1 0.33995 
660376110.339624] 


9580779. 6607 1c110.3 39290 
. 10. 338956 


659373 10. 34062 10. 041092 10. 387779028 
659708. 34029 20.041115 fe 381126 


10 041613 
10.041671 
10.047172 


10.337623 
10. 337291 
10.336958 
74110 33662510 041787 
on110.33629 10.04 184 

10.335961110.041904 


3711109.335629/10.04.1962 


10.335 297}1 0.042021 
5 03 5142: 33496511 0.04207 


957628 9 9.666691 


957570'9.667021 
-95751119.667352 
95 745 219.667 682 
9.95 739319.66801 3 
957339 9.668343 


5366119 3346340 042137 
750.3343920. 042196 
10.333971110.042254 
10.333640,10.042313 
10.333 309 19.042372 


10.332648 10 042489 
10.332318 10 042548 
0 331987 20.042609 
10.331657 10.042669 


10.3329 10 042430010. 375409 


2 
ae) 


10.379237 19 


10. 378962118] 
10.37866 717 
ne 
10.378139 5 
(0.377865}14 
10.377593 
10.377319 62 
10. 7701 


— — 


10.376771 3 
; 
6. 
5 


10.376498 
10.3762 26 


10.375953 
10. 375681 


10.375137 
0.474865 
19.574759 
10.374323 


| 


9.957276 9.66867 2110.331327 Di | 
| Sine. l Tang. | ent. 


65 Decreis. 


A Table of Artificial Sines, 
25 Degrees. 


— 


Tang. Secant. 


9.972769. 56867210 331327 10.042724 10. 37405 21% 
9572179. 059903, 10.330995 0427631437781 
6264909.9571 589. 66933201 330668 10.042842/10:373516 


3.627030 -9572409.569991 19.3 39029110.042960 


519-5627300{3-95698 19. 672320 10. 3296800. 043019 


67097711 0-329923[19.243138 
.956803'9.671306;19. 328594}! 2.943197 
9. 628378 9 956744 9.671 21634/328365 043256 
I 9.628647 9566849 671963 10. 328037 10.043316 
110 628916]9-956625'9.672291[10.327709{19.943375 
5.629184, 9565669 67261910. 327381108343 

1319 62945 369.9565069 672940. 3270634349 

140.6297219. 9 644) 9.67 3274{! 0-326725}10.0435 53 


3 6267609 95 70999.6696611\to. . 042901/10-37 3240 


10.372970 


10. 37 270065 
95092 (4 670649, 10.329351 10.043078 10 


37243005 
10.372160 
10. 3718916 
[0.371022 
10.371353 
10.37 1084145 
10. 370815 , 
10.370547 
10.378229 


15 £2998: 9.95638 79. 57360 ½¹˙˙ꝗ4. 2639810 043613 
9 630251 9 9503279. 673929 10.326071110.943673 
17] 6305256 956268974257 328743043732 

63079219-956208'9.674584110-325416}1 043792 
f 9 9561489.574910019-32508911 10.043852 


—— — — 


2019 631 32%9-9560899.575237110.32376; 10.643911 
219.6359 9 9560299.57 55640 32443619 843975 
22/9 6318+ 9]9-95596$ 9.67 89.324110 044031 
2397.632129 97599 9.77 4216132378 30 044091 
2419.632392 2 76543 1 19.32345"110.044151 


25,9.63 z265819.95578 676859 10.32313: 10.044211 


10.370011 
10.369743 
10.369476 
10.369288 


10.356675 
10. 368497 
10.368141 
10.367874 
10. 367608 2 


- - 


19. 367342 
10.3670771 


10. 368941132 


2 2832929757299 7790 32280 10.044271 A 104 
2719 033 189 2 9556699 677520 10.32248010.04433110.3 >668 11133] I 55 
26.63345419-95 5609.9 677846 10. 32215410 034391010. 366546 32 1919 
a 9672525772975 10 3218290044451 10 366281 — 
89.839832 e 
„ 20008 I Sine. "F Ta Tang. Secanr. < 


| — 64 Degrees. 2 


— . 


Iasagents and Secants. 


25 Degrees. 


9.636886lg 954823[9-682063 
19-63714319.95 4762 9.682386 


63819719.95451819.683678 
9 63345819.95445 719-6840 
9-63872019.95439619-684324110.31567 
63898119 954335 
5$0.9.63924219-93427 
5 119.63950319-9542 13/968 5290 
5219 63976419-9541 5219-68561 2 
\ 319.6406 2419 95 4090 
d £40284]9 95422919680 255 
5 $19 64054419 953968 
69 6408049 95 3996!\9.686898| 10.313192, 10.04609 
9 64106419 95 384519-68721 
58/9 6413239953783 68754010. 31246010 0462177 
1996415839 953721.68786 110031213 
\9.641842|9.9< 36609 68818210 31181 


419.95 548819.678496 10.321504 10.044512'10.3 
634249}9-95 5$428'9.678821 10.321179 10.044570. 365751029 
3219.63451419:955368 679146 10.3205 54 10.044632 10.365486 28 
339.6347789 9553079 679471 10.320529 10.044693[10.36522 2/47 
.63504219.95 5247 9.679795 19:329205 10.04475 3119-36495 8/2 


10.317937 
10.317613 
10.317290 
19386967 
10.3166 


10.045117]10-363371|0 
10.045177. 363114 19 
10.045238110.362852118 


19.316321\10.045482]10.36i803]1 


01110.315999|10.045543(10-361541]13 


4 5 35 


10.045604 to. 36128 


10.312780. 94615510. 358936 


— 


4 


— 


Tan g. 


64 Degrees. 


10. 046278010. 358417 
$110 04634. 10.358 is8 


: Min. lo m 1. +.w lo 


—_— 


1 419-642$7619.95 3413 


Ita 
735 645193 » 952855 


49.645450. 85279 


26 Degrees. 


A Table of Arrificial Ines,, | 


Tang. Secant. 


2 un. 4 . 
I 
6 


688182/10.311818 10.0463 10.388138 
688 50 210.3114980. 0. 046401010. 35789 


689 743010. 3105 55/10. 0465250. 357382 

. 68946310. 3105 3. 04658710. 357123 
9.643 1359.953351 9.68978 30.3 102170. 04664 fU0. 356865 
1964339319 95 3295[9-690103(10. 309890. 0467 10510.35 6607 
9.643650[9-95 3228 .69042 3{10.309575110-046772110.356350 
9.643989. 953 1669.69 f 309258[10-0468 34[10-356092 


0.64261819.95 3475 


.688823110.311177119-046463 10.357640| 


9.644.165]9-953104/9-6910962110.308938]19.046896[19-35 5835 
64442 31:95 3942P- 10.046958[10-355577 
9.644680 9 95 298019-69170010.3083o00j19-047020110.355320 
64493 619-95 291719-692019110.30798 10f 0. oꝗ 7082[19.355063 


692338010 307662[19-047145[10.3 54807 
.692656 10.307343]12:247207[10-3545 56 
69297 5110.307025|1 9-04 7269|10.35429 
693293110.306707119-047331110.354038 
69361210. 30638800. 0473941. 35378: 


159.645 7069.952731 
169.6459629.952668 
1719:6462 1859-95 2606 


10.047644 9.352760 


.64723919-95235619-694883110.305117 
| 10.047706[I0.352505 


.64749419+95229419.695201110. 30479 


.648004[9.95 2168[9.695835]10-30416 10.0478 32}10.35199 
648258[9.952105 9.696153 
.64851219.952c4 3{9.695470[19-30353 10.047957110.351488 
648 7649-95 1980j9.696786110.30321 3]19.0480200.353233 
1849.6. c. 95 1979.697103 10. 30289710. 04808 3110.3 50g98c 
2955.649274] 09518549. 9 74 302580[10.048146110.35072 

10.3022 


Tang. 


.69393<10.306070[19-947456110.35 352612 


64698419-95 2419/9-694566110.305434/19-047581110.353016[40, 
10.303847[19.047894}19.351742135 


e 3947389 


5 


* * 
aA ww 45 ad er eee 


3 
38 


6477499 952231˙69 5518010. 304482010. 0477695225167 


' 


—— — — ——— K es. Oo er. 


ine eee @©H 0 


35 


p.64978119.95172 
p 17 65003 


.95153919-699001f10 


95134915 89994 
.95 128619. 700263 


951159}9.7008gz] 
951096. 701208 
9510329.701523 
:95096819.701837] 
95090519-792152 


-95045919- 104356 
:959394[9-704663 
95031 


57.656302 9500). 
15819-6565 50/9-950000Þ9.70654 111 
5 770 579940 506853 
9.6 99582815 0] 2707166 
SITY" Sine. _. 


9.649527 eee 
3 


295 166515 58365 
650 2879.95 160219698685] 


9714766 699310 
:951412[9.69963 2} 


2512225 700578 


5757 9 70403 754036 


704970 
3.9502609.70529c 


950138 9 9.705916 
J.7062 28 


to. WY 10. FER 


10.35047; 
10-301947]t0, 0482720. 350219129 
10. 3016310. 0 4833 5f·o. 34996 
i10.3013151160.0433 98[10.34971 
be Sed 10.948461 10. 
10.300684[10.048 524] 0.34920 
10. 155585 10.048588070. 34 950124} 


10. 2997 37 10.04871 10. 
18299422 to. 942771 124820 
10.299107 10.04894} t0.347948 20 
10.298792{t0.0489641t0: 34769 
19,298477110.048968 
10.298163[10,04903 1} 
10.297848110.049095[19-346943 


19.2975 34]! 0.0491 56 
[10,2972 1c[10.04922 2110, 34644 2] 
10.296905[19.04928410. 346192 
10.296591 10:04935c10.345941] 
10. 296277 10-0494 14|/0-3456911 1] 
10.295964{10:0494 78]10,345442|16 

10.29565c[10.04954 2110. 345194 of 
(0.295 337110;04960410. 344942] £ 
10. 295023[10.049676 10. 344693 
10-2947 1011004973: 
10.294397|10-049798(0.344195 

10.294084{10:04986: 19:34394 5 
10.29377211 0 0499230110. 34 JON 
10.293459Þ 0:049990110. 343445 


10. 293146[10.05005 5110. 34320 
10.292834110:050119010 34295 


Tang... ] Decant. 


A Table of Artificial Sines, 
Wee, e 


109.6595179.949235 


T 
5 


— 9.65704 G .949881 
119-65729519-94981 
\ 2 9-05754219-94975 219. 
39.657 7909.949658 

2.618037 9.949623 . 
559.658 2849.9495 589. 70872 
69.6585 31.949494 
79.6587789.949429 
8.65902 5994936 
99.6592 119.94930c 


Sine. 


| Tg 


.70966 


.710282 
710593 
710904 
711213 
211525 
711836 
712146 


119659763 9.94917 
12 9.660009 -949195 
1 3'9-6602 5519-9490 
1449-660 500j9-94897 5 
1519-66574699-94891 
169. 609919. 948845 
179.6612306 948 7809.7 12456 
881228294849 9.706 
713386 


2252554740 7 
66294600. 1239.714462 
hr 2.00294012-94 23274224 


709971] 


V 


707¹6 10.292834 


.708102[10.291898[10.050312 


10.291 58 


10.29127 


.709037119-290963[10.050500 
70934 10.290651 10. 50571 


10.289718 
10. 289407 


10.289096 
10.288785 


10.288475 


10.287855 


10.287234 
10286924, 


10. 28661 


-713696]10.286304, 


10.285995 
10.285685 


10.285376 


10. 288164 10.05 1090 


10. 287544. g 1220 


10.050248 


10.090322 


10.050441 


10.050765 
10.050830 
10.050895 
10.05 096c 


10 051025 
10.051155 


10.051285 
10.051350 
10.051416 
10.051481 
10.051546 
10.051612 


10051627 


6631909948257 9.714933 
66343 3.948 1929.715242 
36779948 1269.715551 
66392009 948060 9.71585 


10.285067 
10.284758 
10. 28444 


10.284140 10.05 1940 
6641639 947995 9-7 1616800. 28383200. 05 200510 33583731 


10.051743 
10 051808 


(10.050119110.34295 3060 
10.0501 830. 342705059 


[0.340729 51 


— — — 1 — 


10. 34245858 
19.342210 57 
190.3419637 
10.341716]55 
10. 3414685 
10. 34122253 
10. 34097562 


10. 34048 3060 
10.340237 
10.339991 48 
10.339745 
10.339494 
20. 33925445 
10.339009 14 
10. 33876443 
1033851942 
10.3382 I 
10. 338030 
10.337785 
10.337548 
10. 337297137 
10. 
10.336810 35 
10.336566134 


10.051874 


1033632333 
10.3360$0[z3 2 


% 
— 


ꝶ6ꝙ6ßd eee ee eee eee Wd os ww 


6:06. 006 Im... 


— 


.66440019.9479299-716477[19-283523110.05307 1[10-335594]30 
OY ine. f ä ang. Secant. 


— — —— — — 
f 62 Degrees. S| 


——_— 


— —— 
— —— 


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| : Tangents and Seoants, 


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4 


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3 | | [i il 
1 * —— — 2 | 


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8 
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©:056583{10,319712f 
-737171hr0.262829}10:05665 211043 tgyBaſes 
3279 -731473110-262529}10.056721 10.3192 | 
40 680982/19.94321 2-7377711110-262229h10.05679011013a9008Blkg): 1 
14119-68121 3]9-943141[9-738071110.26192yhrov5685 9/1 olg38489l; alt: NV 
— [4249-681443[9 9439721973837 1110.261629 
435.68 767% 943003[9-738671|10.26132 


* 


10.056928h 04328559|v81 i I 
o56999h1 013189261441 | 

68190: -738971]1< 29,005 7066110,31869d1161" + | 

4519-568213519.94286419-739271}10.26072g}10.057136 01317865115 

| _[469-68236519.942795[9-7395 70\10.26043eþto 057205|t0{34765 e 

147968259512 94272519.739870110.260430(10.05 727g) | 

| |9-68282519.94265019.740169\10.259833þ10.05 7344 

_ [49963305519 942 587]9-742468 102595 32] (0.05 7413 

so. 65 3284) 94251719-740767110-2592 33) 10.05 7483 

5 112-683 514] 94244819-74106610.258934|10 057552 


9 68397219 9423089 741664|10-25833610.05 7692t1 0: 316028 

(1402 53429! 29422 39D.741902 10 2803810. 957761180-JIF7DS 
i 512-6844 3012 9421699 742261 10.257739 r ©5783 1510-31 557 
5th 68465819.94209 1425 $910.257441 ro 0<5g01|10.315 342 "11 
57% 684887 94202 742858110.257142 10,057 971j10-3IF4T3}. 3\ 
[58], 685175 2-941959 9-743156,10.256844)r0,058047 10-314885} 2: 
Vet »-685343 1941889 9.74344 0.565 10.058111110-314657]| x 1 
fe 9.68557) 1941819'9 743752!10 256248 10 O78. 81.314425 49 


* N 4 
4 —.— k & FEE LS Tang 9 1 2 ant. | 17.3 


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** — — 4 = 


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| 
| 
| 
| 
| 
| 
d 


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— —ꝛ H Cc — —— 
— — 5 — — 


— — — — — — 


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- 
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— 2 


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[ 8 A Table of Artificial Snes, 5. i * 


bebene. 


J Sine. 


1 og 885 5719-941 81919.74375 2110-256248]10.058181[10.31442960 _. 
19:68579919-941 74919-744050110-25595o[t0.058252 10.314201159 
5.666027 947679 744348]10-255652110.058321/10.313973:58 
15.6866. 56% 9476099. 74464 5f ro. 2553550. 8391.0. 313746 57 
19.68648219 9415392244943] CL 058461 10-31351856 | 
519 68670919-941 46809. 745 240]19-254760[10.058531 10.313291.55 
Ip 68693619-941398[9.745 538/19 274462ſ0 1882 1.31364 74 
79.687163 94132809. 74583 50.254165. 058672ʃ 10.312837 53 
% 6873 89(9.941 25719-7461 321) b. 253869 10.058742/10.312610 52 
7 9.687616]9.941 187 9.746429110-253571 10:05881310.312384'51! 
rolg 6878429 941117 746726110-253274 10. 058883 10.312157 
10.252977[10.05895g/10-31193149, 


1 119.688 06g]9 94104619.747023 
129.688 295 940975 Trends 2592681110.059024 10.311705 


139.688 5219.940909. 74761600 2523840. 05909510. 31147947 

14.888247 940834'9-7479r2110-252087110.059166/10.311253'46, 
15/9 688972 94056309 748209/10.-251791 10. 8521737302, 
169 689 1989.940693 9.748 506.0 251495 10.059307/10.310802 « 
171968942 319 9406229 7488010 251199110-059378:10.310577143 
19.659648, 4055 1% 7495/0 29093, 9449.310352 
199 68987319.9g0480/9.749393}'02-250607 10-05952019.ZIOL27 
749689j109.250311110.059591110.309902 
2119-6903 2319-9403 3819 74996510-2<00 15110.059662110.309677 
229.6904890 9402671[9.750281[10 249719110.0597 33]10-309452 
' {2319-69077219 940196[9.750576j12 249424 10 o59804/10.309228/37, 
| 24 69099619 910125 750872110 249128'19.c5987510-309004! . 
| [2519:691220]9:94005 319.75 11697[10.2488; 3110:.059946]19-308779]35, 
75 1462]10.2435 38\10.060018]7 0-3085 5 5134 

| 751757110:248243{110.060089Y 0.308332 
| 8 69189: 9.939840 752052 10. 247948 0.06016 10. 305 08 
499.6921 15.939768 9.752347“. 247653 10.0602 3200. 307884 
Il 39/9.692339 9.939697 Tae 2247350 10.00363 10307661 20 
| Sine. Tang. Secant. | 


Tangents and Secants.  _ 5%: 
J0 Degrees. | T8 


I 


Tang. | | Fecant. | 


3019. 0546999353209. 770148010. 22965 0.064680 10. 29453170 
31Þ9.7056839.9352469.770437[10.229563/19.064754 10.2943 17/65 
325 -795897/9-93 5 17119.7707 26 10.229274 0.0646 28 10.29410a[28 
| 33 8 129-93 50979-7710 151 0.228985'10.064903 10.293886 271 
49.7063269.93 9229.221303 .. 88222812 12:293678 26 1 
3519-7965 399-93494319-771592110.228408[10.065 052 0. 2934615 | 
3619-50675 319-934873 97718801(0.228120110.065s 27,10.293 247/24 | 

| 3719-70696719 934789. 7 72168 . 227832 10.065 20310. 29303; 231 
38.7018 934723977245 70. 227543ULO. 065 2760. 2928 2042 
[139Þ-797393 2-93464919-772745119-227255110-06535.1710-292607]|21]} 3} 
.4019-72760619-93457« 9.773033[10-22696710.06542 0.2923932of | 


41 0.70781 919-9344999-773321 10.22667 10.06550140.292181|i9] 
4219-79863 2319-9344241[9.773508j10.226392{10.065 576110.291 968|1 81 
435 708245] 934345/9.773896110.226104/10.06565 J. 291755½ 
419-7884 5719:93427419-774184|19.225$16 10.965 726110.291 54216} 
45 9.706709 934195 9.774471 2-225 529,10.065801 10. 29133011 
2 9.708832 9 9341239.774759/0.225241 10.065877/l0. 2911191. | 
47 9 oA 934049. 775 oꝗ 10.224954 0.065952 o. 290900013 
486.7093069 93397 9.7275333½7 24667. 066027 f0. 29069 lall 4 
49 9. 2228882118299. 22562 19.224379 10.966102 lo. 29046 211 ; 
' 50 9.7097 309 933822. 7759080. 224092 19 066178 10. 2902710 j 
| |51]9-709941]9-93374719-776195|19-223805 10.066253 10 290058 
5219-71015 319-93367119.776482 19.2233518,10-0663 29 10.289847 
55 9.71064 933 5969.776780. 223231 19-066404 0. 289630 
'5419.71957519 9335249-777055119-22294.5 10.066480 10.289425 
559.7107869 93 344 9-777342/10-222658 10.0665 55 10.289214 
5609.710997 9.933369 9 777628. 222372 0.066631 10. 289003 
\ 379.7 1208 933299.7779 5119.222085 10.066707 10.288792 
389.7114199 9332179-773201 10.221799 10.066783 10.288538. 
'50}9-711629]9-933 14' d-77848710.221512449.066858 10.288371 
60. 18399 93 3966 9 773774 19.221226 119 05693410.238 161 
Sine. 85  Secant. 


4 * 
— ů ( ng — — — 


eee ee 


4 


—ͤ—— — 
[ 


11 19.714144.932228 


1199-71 58cgf9-93 161419.78419+ 


[:819-71684619-93122919-785616 


—  — — — 


A Table of Artificial Sines, 


31 


Degrees. 


Sine. Tang. 


019-71 183919.93 3066 9.778774 
159.7120499. 93 2990.77 90 
9.7122601[9.93291419-779346 
319-71246919.93283819.779632 
19-71 267919.93276219-779918 
519-71 288919.93 268519. 780203 


719-71330819.932533[9-780775 
819-71 351719.93245719-781060 
219-7137 2619.9323801[9.781346 
109.7139350 9323049.78 1631 
9.781916 
129.7143529˙932151 9.78220 
1319-71456119-93207519.782486 
1419.7 14769]$93199819.782771 
1519-71497819-93192119.783056 
1619-715 18619-931845[9.783341 
179.71 539419-93176819.7836:C 
1819.71560119-93169'[9.783910 


2019.7 1601 719-93153719-784479 
[2119.7 1622419 93146019.784794 
229.7164 32.93 138309. 78 5048 
2397166303136 9.785332 


2519-71705 319-93115219.7859co 
2619.71725919 93107519-7861 84 
2719.7 174669 9309989.786468 
2819.71767 219-93992c1[9.78675 2 
2909.717879 9.93084 319.787036 
30.2188 ff 9392888228739 


$19.71 3098 9.93 2609 9.7 8048910. 2195 11 10.067391 


| I 


10.221226 10.066934 
10. 220940 10. 067010 
10.220654 10.06708 

10.220368 10.067 162 
10. 220082 10.067 268 


10.288161 
10. 28795 
10. 287740058 
to. 287530557 


10.282321 


—— — — 


10.219797 10. 067315 


10.219225 10.067467 
10. 218940 10.067 $43 
102 1865 4 10.067620 


10.21 8369 10.067696 


10.218064 10.0677 72 


10.2 17799 0.067849 


10.287111]55 
10. 28690254 


10.286692] 3] 


10.286483[52 
10.286274|! 


56] 


to. 28606550 
10.285856 
10. 285648048 


10. 21751410. 067925ʃ10. 28543944 


10.216945,1 0+068079 
10. 21666010. 068155 
40.216374 10.068232 
10. 2 1609001 0.068309 
10.215805j10.068386 


10.215521:10-068463 
10. 215236100068 539 
10.214952. 06861 

10.21 N ro <4, 


10.21 4384/1 0.068771 


— —— — c— 


10. 21410010. 068848 
10. 2138160. 068925 


10.217229 0. 06800210. 288231 


10.21 3532 10.069002 
10 213248jr0.069079 


* 


10.212964 0.069 15710. 28212 
10.212681 10.0692 34/10. 281915 


to 28502265 


10.284814 44 
10 28460643 


10.284398 


10.283983] 
10.283776 39 
10.283 568038 
10. 283361157 
b 


Secant. 


Sine. 
ic 


— 


9 — 


9 


BY 


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a. — 


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— 


AIK . => _ 4 £- 


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T6 Bol ALIEN» M 


11 


— — 


Tan angents And - 


— 


1— ; | 27 Degrees. 


D Sine. Tang. 


z019-66440619.94792919-716477|10. 28352310. 052071110. 3355 30 
315.6646489 94786319-716785|10.283215 10.052137110- 33535229 
3219-66489 119.94 779719-717093110.282907 10.052203]19-335109 
3319 665 13319.947731[9-717401110.282599 10 05226 
3419-665 37519-947665 -717709/10.28 282291110.052334$ 
3519-66561 7/9-947599]9-718017110-281983 10.052400[12-334383/25 
9:947533 71832510 281675 10.05 

37.666 1009.947467 9.7 18633 0.281367 10. 0525 33 
z 819 66634 1.94740 19.7 1894010. 291060 10.052599 
＋ 9.66658 309.947 947335 719246 18. 280 52 10.05 2665 


9.66682419.9472699.719555110-280445)10.052731 
10 5273 

115.67 06 509.947 2019. 719862ʃr0. 2801380 052797 
125 657305 9.947136 9.720169 10. 279831 10. 052864 
43.667540 94770 720476|19. 9377 052930 
9.66778 9.947004 720783 10. 275217100 


1334523028 


H. 5 3.668 266 


—— x1 — — ————— K 


 $2'9.66979319-946471 


589.7711349 


28 
10.334867[27 


10.334141}24] 
10.333900[23 

10.333658]2 
10:333417 21 x 
10.333176 ac 
109.3329359 
10. 33269518 


10:332454117]. + |! 


110332274116 


94687119.721390[10.278604 
4719-668 506!19.946804 9.721 702110.27829810 05319 

1481s 6687469 946738 9.722008[10.27 799ti[10 0 
| 49 ).668936(9.94667 119.722315}10-277685ſ10. 


456 Sade 9469379 72708910. 27891000 


723232110.276768|10 05352 
5319-66994 219-946404'9.723538110 27646210 05359 
154 3670181 9.946337 9.72 22384400 © 276156119 0 053663110 329819. „ 


55 ) 670419 9462709 7245 10.27585110.05373 
5619.6 7065819.9462039 724454119-275546[10.05 37y7 
157 .67089619-9461369-72475 10.275240[10.053864110.329104 

9460699.725065110.274935|(0.053931110.3288656 
1599. 671372 9-946002'9. 725369110. 2746300 05 3998110. HI 

60 9.671609 9.945935 9 72567010. 19.224320 0.0486 4/328 391 

4 | Sine. | 1 Tang. 


1. 73 
10 05312 19:331733}t 
10 547 
262119-33125 
3529893376141 
509 66922519. 946604 9. 722621[10.277379-10-05 33 
5155 c e le he 10 27707 3110.05 346 


10.330775 
10.33053 
19.330297 8 


Wy i * 


—_ — 


Secent. 


| MESS 62 Degrees. 


Mrn..l, - 


— 


P 2 


| 


1 


* 


mn aoDon- 2 


= * 
4 IP 4 "4 * — 


A Tavke of — Fines, eee e | [ 10% 
— 4 58 . r 3 


_ ICY a . nk * * n my * 2 th. M.A tn. At tt ah 


„% „% 


+- — 
1 
— — — — — : ny Hes 4 nt aa — 
0 577655 8 94593 725674 274320 110. .054065[10.33839116 
| 119-67184 9458689 72597910-17 4921119. 954132 0329153 
\ $]9-67208419 945800!9.726284/10.- 12 5 0.327916 
6723216 94775.7 2658801037120. 5420/1 34767907 
| 6725 58]9 9456569 726892110.273 10710 054 | 
672790 5340 945889 127197119\27250$110.05440 110; 127205 55 
67303 $553119-727501[10 272499] 19.95 4469|19+326968[5 
67326819 945464! 727003 10.272 19510. (0.32673253 
59.673 50519 94539519 728610910 271891 10 05460 22 
9825249728228 , 8271870 10.054671110+32625 
r019-67397719-94526119-728716110:2 128 954739119.326023 
6 7423 31S 945193 72902010. 215 80110.054807[10.325787| 
72932310 27067 7110.054874/19-3355F1 
72962 [0.2703 74{i0. 954942] 10.325316 
72992 10 ee 20.0 10.327081 
4922¼730233 19.269727 550, 334845 
169.6753909 9448 54,7305 35/0 2694650 0551461i0. 324610 
| 179 67562 3 944"86 .730838 10. 269162[10.055214|to 324376 $3]. 
189 67585919 914718. 731140 26885ylto 055282110.324141 £2 
199: 676094 9 944550 19 73 1444] 10.2685 $6 10.055 35110.323906| x 
20967632800 944585 29 7317410-268234| o 0554180: 323672 10 
4279 6765629 9445149732048]: 0.25795 2|10.055 48010. 32343839 
| 22 9.67679 94444619 7323511:0.257649 10.055554[10.323204|;8 
| 


#41 


5 


1319:674684[9 945058 
4967491912 944999 


ar — — .- 


259 6770 0 94437 719-732653 19,267347|10.05 5622 0432297c 
249.6773 677264'9 $44 30919-" 732955 egen, 10 32223661 


2596774975427 9 733257] 265743. 055759] 0 322502]; 5/ | 
2619.6777319 94417 21g 733558|10.266442 10.05 5827 o. 322269034 | 
22 $44104'9.733860](0.266140|10.v55896[10.322036 33 
2805 678797 9.944036 9.734162 0.265838 (9.055964[10.321803 12 
| [29'9.67843099.943967'9 734463[10.265537]0 05603310.32157<|z1 
zo'g 6785 — — 943895 9-734764 10 10 265236 10 SB out 0.321 33:1z0 


LINE T7 ine] Tang. | | Secanr. 


— 
AAS Adis 4 Me þ 200 AMS. * 5 oY 


* — 


Ea Ty 0 "Degrees, _ * 


rr * 
— 


Tangents and Sccants. 


29 Degrees. 


7 


— —  ——— — A 
-93969719-752642[10.2473 58.1 0.060303 
93962519.752937110.24706310.060375 
9.753231}10.24676910.060446 


209-692 339: 
0 2 692562 


9110.245591 
75470310. 245297 
9-93912319-754997[1 0.245003 
9-75$291119.24470s 
2 — 22587 10.244415 88 
9 2919-7 559870110.244122j10.061c92li0,3052j 
825 n 10. 24382 8 
P.9387639. 7564650 243535 
595 9.938691 . 75675910. 243 
$67119.93861c 
$9-69589219.9385 47 
E -6961139. 
9.696334 


9-7570952110.242948 
75747/242655 
38475[19-757638þ0.242362 
93840219.757931110.24206 
.938330f5 75822 12241220 


Secant. 


40 0.060518 
10.06058 


[ — 


10.060877 10.30588 22 
10.060948/10.30g65 8/21 


10.061020[10.305436h0 


* r —— ů —— 
* — _— 
3 — + > 6 


10.061164|10.30 
10.061236 1.307715 ' by 
10,06130 I9-30455916 b 
10. o6138 1010. 30432 15 | 
10. 06145 3010 304108); 
Io.o61525 10.303887 13 
0. o 598.10. 3036800 


758517 10.241483 19.961 742/19-303225 10 + 


l 9.758810[10.2411 
93%11319-759012[10.240898[10.061887|10, 30278 
9.69743519-9380 . 


10.061815|(0.303005| c 


499-759395110-240605[10.061960{10.392565 7 


2 IT -937967[9-759687 19.24 
937895 9.759975 10.240041 I0.062105 10.302126 | 

-93782219.760372[10.239728 10.062178[10.301966 5 
9377499 76056. 10. 23943 | 
9376761g.7608 56 10.2391 
-9376031[9.761148|10.2388 


'93753119-761439]10.238561 


12/j19-062033 19322127 6 


. * 
_ — —U— * 


10.062251110.301687 
10.062 324]10. 301468 
19.062 396[10.301249) f 


19-062469{10.3010 *P 


111 


| 
: 


$ecant.” 2 
80 Degrees. — — i 
; 


1 


” 
| o 
' 
= 
4 


4 * 
. 


— — —— —— . — 


A Table of Artificial Sines a 


14 


= Secan.. 1 


— 
e 76143910. 238561110. 062469 10.30to3& 
699189 9-937458 7617310. 238269 b. 062543 10.3008 1 115 
19699407 9-93738519/762023[10.237977110,062615 10.30059 gg 
19:6996261(9-9373 1219-7623 14'10.237686[10.062688 10.3003 7; 
9.937238 76260610.237394[10.062: 10. 062761 10.300f56 19 
9.93716519-762897,10.237103Þ10. 62835 10. 299931 


| 


; 
3 
937092 76318 10.236812¹0. 062908 10.299720 4 3 
93701999-76347910.2365 21110, 062981 10. 29950403 ; 
rr 10. 299188 ; 
1 .70093 2.936872 tos! 10.23593 10.063 128110 10. aggos 12 ; 
| 701151 5.936799 765372 10.235648]. 6632071. 298845 7 U 
N 7013689-93672519-764643|10.235357] 9963275 1.2996 | |. 
701 58519.93665 2.76493 310.23 5069Þ 9-063 348/10.29841 J. 
.70180219-9365 7819-765 224/10.23477 0.063422/10.298198þ 2 | 4: 
2020199 9387.265514 1.234456 1861495 10.297981 2 4 
| r519-7022369.936431[9.765805/10.234195|19- 06356910. 297784 1144} +4 
19-7024 5219:936357]9-766095[10.233905[19-<63643/10.297 544 A 45 
| | 7026699-93628419.766385110.233615]19-06371610:297J34008 | 46 
| 18%. 702885 936210!9.766675| 10.233325. 063790 off 297115598 47 
; 1869.703101 .936137 9.766965[19-233035 8.63854 9. 196898 | | 48 


'  [relg10331719-936061[9.767255/10.232745[19 063938 10.25668 388} | [49 
| 05 9 7935339-93599919. 7075 45]19-232455 19.06401 210. 296467185 

93591419.767834/19.23216 1. 064686 10. 29625 71 
93584009. 768 124110-231876 1.064 10. 296000 
9.9357669.76841 3/19-231<810-064234/10.295820j80 73 
9356929.76870 30.23 1 299]1 0. 864308 10. 29560 4 
93561819.763992110-23 1008 10,064 382/19. 295 396 


K a 
| 935543 9. 76928 10. 23071 10. 06445710. 2951 22 Þ 

9354699 7695 7of10.230429110,06453 1/10.294 960 _ 
| 9-935 39519-769860{10.,230140]10,06,4605/|10. 294740 132] 530 
| .93<32<19. 2-770148[10 10.2298 1 10.064680/10:29443.1]8) Aol 
j | jt Sine. 3 Fang. >. fit "| Sccant. | 50ʃ0 
| 1 59 Degrees. DSN 


a „ - 


— 


Tangents and Secants. 


4 


718497 930611 


-719730Þ9-93014519.789585 
9.71993 519-930067 .789868 
79015 
790433 
729.7205499.92983 319-7907 16 


+ 


2:72095819-92967799.791281 
7211625 9295999791563 
7213669 9295219.791840 
7215709 929442 9.792128 
721774 9293649.792410 
12197819-92928699 792692 


1 722181 9.929207/9-792974 


'119-72238519.929129199-793256 
52972258800 9295589.793538 
457225 9289729793819 
54 722994 9.928393'9-794101 


31 Degrees. 


718085 9.93076619.787319 10.212681 
.71829119.930688[9.787603[10.212397 


439-7207 54]9.929755(9-790999] 


— 


Secant. 


10.210981 
0. 210698 
10.210415 
10.210132 


10.069234 
10. 069312 
10.069389 


10.069544 
to. 069622 
10.069700 
10.0697 77 
lo.o69855 
to 069933 


10.209849 
[0.20956 


10.209284[10-070167|10,279451 
10.279246 
10. 2087 19 10.070323110.279042 
10.208436110.070401|10.278838 


10.209001 


10. 20815 
10.207872 


10.207590J10.070636[10.278226 
0 78 


Sn 


(0.20702C110-070793110.277819 
10.206744110.070871110,277615 


10.206462[10.070g50[t0.277412 
[0.206180J10.07102H10.27 7209 
10.07ITroJro.277006 


10. 205809 


10. 69467 


10.281915 


10. 28 1709 


10. 281503 
10.281297 
10.281091 


10. 28088 
Io. 280680 
10. 280475 
10. 280297 

10.280065 


10.070011 
10.07008 


10.070245 
10.070479 
10.070558 


Lo. 705 14 


$5:9,72319719-923$149.794383 
69.7234 . 928 369.7946664 
57,9-723603]9-923657 9.794945 
589. 2338959-29285789.795 227 
#9.9-7240079-9284999.795 506 


[10.2c5617 
10. 205336 


10 205054 
10.204773 


19.204492 
19 204211 


822242199 9284209.795789 
ws, | Sine. | 


Tang. 


10.279860 
10,279655 


10.278634 
0 278430 


— — — 


10071343] 9-275397] 
10.07142:110.276195 
1O0.0971FC1]10.275992 
Jo o7157g110 275790 


Secant. 


9 


c8 Degrees. 


Min. ee 


r 2 


* * m _ 


A Cable of of Artificial ines | nn, 
0 32 Degrees. : 


E | 
9724210 7242 109 928420 9.795289 0. 204217 1110.071579 10. 275795 
19 724412 223 7960700. 203930 10. 07658 10.275588 


b 
1 


F Sine. Tang. 


29.7246 149.928 2629.796350 0.203649 10.071737 10.275386|; 
4 39.7248 169.928 18 39.796632ʃ10. 203368 10.07181710.275184 
22 7250179. 928 1049.796930 203087. 10. 10.071896 10.274983 
5'9-72521 928025 197 194\ro. 20280610 071975 10.274781 
, 69-7254209.92794679.797474110. 20252510. 072054 10. 27458064 
178. 7236225 722557 79775 o. 202245½ 0.072133 10 274378563 
| $9. wh he? 4 8 .7980361[10. 201964/10.07221 319.274177152 
| | 99726024 7260249 .92770 9.798 798316110. [0.201684 10.072292 1027397651 
| 109. 726225992763 8) 798 5960. 201404 10. 9723711. 27377560 


119.7264269 92754 2 798877 /o. 20112301 ½45 110.2735749 
129.7266269 9274699: 799157 o. 20084310. 072530 10. 273374448 
9. 


13 9. 7268279. 927390 79943710. 200563/10. 072610110.273173147 


149-727027 9:9273209-799717110.200283/10.072Cg0 19272973 46 


; 
| 
b 159. 727228 9 9272319.79999/%/ f. 200003, JO. 072769 10-272772145 
169.7274289 9271519. 80027710. 199723010. 072849 10. 272572044 
1779.727628 992707 9. 8c0557 10. 199443110. 072929 10.272372 +3] 
| 1189-7278289 92099119. 8008310 19916310. 073c03/10-272172142 
U 9.728027 9 92691119 $011 (6110, 10.193884 928690. 10.27197:[1] 
| 209. 728227'9. 9.92683119. 801396 10. 198604; 10. 973109 10.27177 3140 
21 9.7284279.92675119.801675j10 198325 10 07324910. 271573139 
22 9 728626 9.92667 119.50 195510 198040 073329 10.271374 58 
239.7268259 92659119. 802234010. 197 706 073409 10 37117237 
$24 9:72 729924 9:9: 926511 9. 9.802513 (0.197487 10-c7 3489 19.270976 26} | 
{25 9.7: 72 29223 9. 92643 19.802792 10.197207 10.473569 1c. 270777 57 
269.7294229 92635 19 803072 19.196928'ic 07 3649, 0. 270578 34 
279.729621% 92627009. 80335 1010.196649 Io. 2377/15. 270379 33 
28 9.729820 9. 92619009 95 3630 0-19637010.073810 10 270180432 
299. 4 dint» ee 039080. 196091 10. 07389710. 26998231] 
109. 2562.92 9260292. 804 04187 (0.195833 10. 073971 10 262783 30% 
15 — Sine 4 28885 E ang, 2 | drcent. 


— om 


1 2888 rere. 


. 


— — Er C—— 


5 


— 
— 


We 


2. 


2 


— * 
— — 


MI. 18 » 


Tangente and Secants, 


32 


Tang. 


+7 304I5ig 925949 9. 804466 
7306139. 9 258689. 804745 
7305 1109.925787 . 805023 
oog 925 70719805302 
7312069. 9256269. 805580 
75140409. 925 545.8058 55 
731601ʃ9.9 254655806137 
7317999 925384. 806415 

2399609. 92530 f. $06693 


7323909 92514119 807249 
429.7325879. 92505 1.807529 
439.7327849. 9249799. 807805 
8 | 9248971980808} 
733177 9.92481 5 9.808361 
7333739 92473519 808638 
7335699. 9 246539. 808916 
7337659 9245726. 809193 
19 73396119.92449119.$09471 


5119-73435 319-924 32819810025 


$319 7347449 92416419 810580 
2. 34939Þ 924<8; 
+13513419-924011 
735330 
735525 


9923837 9.81168 


735914 
2361999.92 3591 


—_— 


ee ee md 


— — — —— 


.130921619.92602919.804187 


09.7 341579 924409 809 748 
| 52Þ9-7 34548 9. 9242409.8 10302 


29 


Degrees. 


N | Sc 


IO.I95F} 


10.193863 


o. 19302 
10.192751 


10.192195 
10.191917 
10.191639 

0.191362 
10.191084 
10. 190807 


10.195833[10.073971[10.269 
10.19525 510.0741320. 2693876 


10. 194420007437 
10. 1941410 0.07445 50. a68 59604 


0. 192473010. 07494010 267413118 


— — 


10. 07405 110. 26958 59 


10.193585f10.0174616110.268201122| 
10-193 JON119-074090 


10,075184]10.266823|15 
10.075 265110. 266627114 


811134 
9 923919 1 5 


Sine. £ 
$7 Degrees, 


9 7110.188313 0.076163 
735719992375 5j9-81196 t0.18803C[10.076245 
9 92367319 812241[10.487756 10.076327 10. 264080 


9-812517,10.137483 [0.076409 10.263891 


Tang. 


a. — 


10.189143[10.075917[10-: 


8 

7 

| — , 6 
10. 1888660. 07599910. 264865] 5 

10. 1885890. 07608010. 264670 4 

3 

2 

1 

© 

c 


10.264475 
10 26428 


— — - — — 


| Secanr. 


mn... 


129.7384 9.922603 8158311. 184169 


mu a——— nn. 


A Table of Artificial Sines, 


' 33 Degrees. 


0 . 7361039 9235919.8 125170. 187483 10.076409[10.263891 


9.764989. 923427 9.813000 186930 10.076573]10.263502 
39.736692 9.923349. 81334/186653 10.07665 5[10.263308 
1 81362310. 186327 10 10.0767 3710.263114 
73708 99231809. 813895 to. 186101 10.0768 19110. 262920 
73727. 5577760 814175]10.185824 10. 07690 fo. 262726 
7.737467 9230169 8744520. 18 5548 10. 076984010. 262532 


736303 2224275 8127940. 187206 10.076491]10. 263697 9 


89.737667 


10. 077397 10. 202 566 


73 9 73862719.92252019.816107|10. 183893110. 07747910. 261373 
1412:738820/9-92243819.816382110. 10.183618 10.077562]10.261180 


15 1319-73901 319.92: 92235519-816658]10.183342/r0.077645]10.260987 
16.9. 739205992222 81693 3110.183066 10.077728[10-260794, 
17.739398 9.92218 817209 10.182791!10.077811110.260602 
189. 7395909 92210619.817484j10.18251 10. 07789400. 260410 
15] 2, 739733 922023]9.817759110.182240[10.077977119-260217 


ꝛ009. 7399759 .9219499.818035|[10 181965/10.078060|10.260025 
21 97401679. 9218579.8183 1010. 181690110. 078 143UT0. 259833 
229.7403 99 9.921774 8186850. 18 1415 0.078 226110. 259641 
2309.740570 9.921691 9.818880 0. 18 114010. 078 309. 0. 259449 


299.7409134 9-921524 ) 579410 10. 180 590 10.078476f0. 259066 
26 9.74125 9.92144 1]9.81968 4110. 18031610 0785 5910.258875 
2719 7413169:92135719- 8$19959}t0.18c041:10.073643/10.258684 
9.741507 9.921274/9.810234119.179766 . 8726.248492 
299. e 810508Þ10. 179492/10. 0781.258301 


309.7418699 92110719 80 0783110. 0.179217,10.078893 10. 211 
Sine. 


Tang. | 'F Seccanr. 


9229339. 974728 0. 18 5272 10.077057110.26233915 
'9.815004[10. L9 4996 12-07 077149110. 22262045 51 


2419 740742 2 9.921607 9.810131 10. 0.180865/10. 0. 97839319. 2592580 


1177%7 . 7 


— — 
*2ů(— 


Se mmm 
— — 


oel 


| 3419-74265 2 3.920772 9.821880 10. 178120 


K Tangents and Secants 


3 119.74208019.92102319-821057110.178943 
.92093919.821332/1c.z 78668 
339.7424629. 92085582160 e 


25 — 
33 Degrees. 3 

5 Sine. |. Tang. Secant. | 

: — — HIPS." 

3009.741885 9.921107 9.820783 10. 1792170. 076893] 10. 258 110 


10.078977] 0.257920 7 
8 


115 7439829. 9201845 823798 10.1 76202 
4219 744171 9.92009919-824072/10.175928 


49-74549419-91950819-825986110.17401 


5 119-74587119-91933$ 9.826532[10.173468 


— — 


569.7468 11 991891 59.827897. 17210 


589.7471875 9187449.82844 2010.171558 
599.7473709 9186599 8287150. 171285 
Gol 7475629 91857419 828987h10.171013 
P Sine. Tang. 


5c 9.745683 9.91942. 9.82625 10.173741 


; 519-74662419.919000[9.827624110.172376j10.081000|10.25337 
10.c31085|10.253188 
10.253001 
10.08 125510. 252813 
10 081341/10.25 2626 
10.08 142 10.252438 


| 
5719-746999[9.91883c 9.828170 10.17183010.08117 


10.079901 


4819-745 39619 919593[9-$25713[10.174287/10.08040710.254694;1 2 


10.080661110,254129 
525.7460599 9192 54 9.826805110.173195110.08074(]10.25 394 
5315 74624819.91916919-827078 10.172922.10 o80831110.25375 
5419-7464 3619 91908419 827351110.172649/ 


10.080915 10.25356 


1 Secant. 


| | $6 Degrees. 


10.07948cÞ 0-256777123 
10.079564]10.-256587]22 
10.079648 1.28388 21 
10.0797 32lto. 256208040 
10.0798 160. 25601 


A Table of Artificial 'Sines, 
34 Degrees. ey we 4 
| Tang. | Secanr. 


— — 


828987 10.1 71013 10.08 1426 10.25 24 


—ů———— — 


7475629 .918574 


— ——_— 


— 


;; Degrees. 


6 


— „%% „ 


— — 


.747749/9-918489/9-829260{10.17074uto.o81511|t0.252251 
7479399.918404 9295 3410. 170468 to. o8 1596 10.252064 
748123 9.918318 82980 5ʃ10 1701950. o8 168210. 251877 
9.748310/9.918233/9-830077119.169923]10.081767[10.25 16g0{56 
74849 18147 9.8 3034910. 16965 1.08 18 5200.251503 by 
74866 319-91 80629. 8 30621010. 1693790 08193810. 251317 
7489709 9179 .$830893|10.169107]1a.08202 10.251130 
7490569.91789 109.8311650. 16883 flo. 082 109. 250944 
.74924219-91 7805 9.831437119-16856; t10.082195[10.250757 
7494299917719 9.83 17090. 168291. 08228110. 250571 
7496 15.9 176349. 83 198 10. 16801910. 0823660. 250385 
1219-74980119-917548]9.832253/19-167747þ10-0824521t0.250195 
13 74998719.91746219.8325 25110-1674 7519-0825 38/10.250013] 
15917 219-917376]9.832796[19.167204[10-082624|10.249828 
159.750 589 917290 9.83 3068 10. 16693 20.08 27 10.249642 
169.7505439.917204 833339110. 1666610 0.08 2796010. 239457 
179.7507299. 917718 83361 0.1663 89 o. 08288 20. 249271 
1897791491732 833882 0.166118}10.082968}1 0.2498 00 
199-75 1099/9 91694519.8341 5411916584610 083054[19-248901| 
20 9-75128419.916859 834423115 16557510 08314ʃ]T 0.248716 
21 975146 916773 83469610 165 3041. 08322 10.248531 
229.75 1654.916687. 83496710. 1650.833130, 248346 
239.7518389. 9166009. 83523800. 16476. os 34.248161 
24 9-7520239-9165 1419-835 50910. 164491110.083 48<112:247977[36 
259-752207/9:916427 9.835780[19.164220|10.08357 3110-247792 
2697523929 916341 83605 100. 1639490. 08 36560. 24760 
| 27 9.752576!9 916254 9.$836322j19.163678þt0.083746110.247424 
| 2609.752760 9161679 8365930. 16340% 0.083833 10.247240 2 
=$: 299.7529449. 916809 836365 10.16313616.083915[10.24705t 
ene 
| 12 Sine. Tang. | Secaut. 


— 


b. 9.75386219-91 5646 9.838216 


| 41 9.755143Þh 91 5035 


15219-75714 9.914709 


Tangents and Sccants. 
| 34 Degrees. 


1 


— 


0.753728 915994837 Tf. 162866 10.08 4006.10. 24659 
519.7533129. 915907 9.837400. 162595 ff 0.084093110.246688]29 
329.7534959 158 209.8376750. 16 2324/0. 084180. 2465 


3319-75 36799 91573319-837946110-162054[19.084267[10.246321 
10.161 784/10.084354110.246136 
3519-75404619-91 555919.838487[10.16151319.084441119-245954 
[3619-75 4229/9-91 547219.838757110.161243)10.084528[10.24577 
3719-7544 12]9-915385 .3$39027110.,16097 310.0846 1 5110.24558 
389.7545955 91529719.839297|10.160702110.084703110.245405 
[2919-7547 7819-91 521019.839568[10.160432|19-084790/[10.24522 
[40/9-7 549691 5123}9.8398 38[19.160162 10. 084827 to. 245040 


429.7553 20 2.91494819.840378[10.15962 2119-08505 2110.24467« 
4319-755 508[9-91486019.84064 7110.1 5935 2119-085 
119-75 5690[9-914773 9.840917 10-15908 3110-28 2210.2. 
Ae 75587291468 5% 841189110.158813]19-985315110.244128 
4697 5605. 9.914598 841457)10-158543]19-985402110.24394 
47 9.756236 . 2145199 847726 0. 15827300 08549010. 24376. 
4809.756418 91442 29.641990 (0.158004/10-085578]r0,24.3582 
9:756600.914334 9-842 260] 19.1 577341 12.225007119-243406 
509. 756781 9142469.842535 0.157465 10.085754 10.243218 
519.7568963 9141589 842805 10.157195 10. 08584 243237 
84307410. 156926010. 08 59 30.242856 
35757326 .913982'9.843343110.15665 70. 0860180. 242674 
. 7286913894 9.843812/9. 186388. ec 
5599.757688 9.91 380619.843882}10.156118 10.036194110,242312 
$619.75786919-9137 1819-34415 10.155849 10,.086282110.242131 
5719.75804 9.91363 844420|10.155580 10.086370119.241950 
589 7582309.91354ʃ $446891t0.155301 1008645910. 241770 
| 595.7584110 91 3453]9 84495810. 15 5042110.086547 10 241589 
6019.7 8599-913 36419845227 19.1 773 84455 


G1 Dezrecs. 4 


Sine. Tang. Secant. . 


30 


2 


840108010. 1598920 0849650. 2448571015 


rs 
14 
13 
12 
11 


10 


K 


—_— 


119 9.761999 


2.763067 


A Table of Artificial Sines, 


Tang. 


— ——— — — — — 


975855113364 "rey: bo 154773 
'119.758772'9-91327019.845496 
' 216 7589529.9131879.845764 


-319-7591 3219 91 30999.846033 
9.759312/9 91301019.846302 
C 7594929.912921ʃ5 846570 
blg 7596729912833 9.84683 
75 9. 7598519 912744 9.84710) 
89.7600 3 1.91265 59.847370 
-9]9-76021119-91256619 847644 
r1916.76039019-91247719.84791 3 
c£119:76056919-91 238819 848181 
129.7607489. 912299 84844 
1 267505 91221c19.848717 
alc 9.76 1106[9-91212 116 .848985} 
rene 912031h 849254 
169.7614649. 9119429.8495 22 
179.76 16429 9118539849790 
1809. 7618219.911763 09.840057 


35 Degrees. 9 


| 


— — — 


10.154236 


10.153967 
1.173598 


19.154504 I 0.086724 


10. 153429 
10.153161 


10. 152892 
10.15 2624 
0152350 

[0.152087 
0.15181 
0.15155 
0.151283 
10. 15101 


219.7623569 9114959.850861 
2249. 7625349.9 114059 851128 


2619. 1632451991 1046]9.85219 
27 9.763422 9.9109569.85 2466 
2809. 763600 9.910866 0.852733 
2919-763777,9-91077619.85 3001 
29.262949 910688 9.883268 
Sine. wm 


I0.14913 
10.148871 


239.26271299113155 85139600. 148604 f. 088684 
422828829 91 Tach 9-851664119-148336[10-088774| 


99111369.851931}1o. 0.148069 


10.147801 
19.147534 
10.147266 


10.146999 
19.146732 


Tang. 


Secant. 


I 10.0865: 53 


10.086812 
10.086901 
10.086990 
10. 87078 
10.087167 
10.08725 

10.087345 
10.087 434j12 23 
10.087523 
10.087612 
10.087701 
10.087790 


10. 241228159 
10. 241048568 
10. 24086857 
10.240688[56 


55 


10. 240508 


10.241409]Þ0 


10.2396 


10. 87879 ʃ¹ 


10. 15074610. 087968 10. 438715 45 
10.150478]ro.0880;8[10.2385 36[44 
10.1502iof10,088147110.338358143 
19.149942110.088237\10.23817 
9.91 6242.850325 


1:0[9.7621 7719. 3715845 2.850593 


10.088505 
10.088595 


10.088864 
10. o88954 
10.089044 
10.089134 
oo 


10 23704413 
10.237466 
10.237288 
ng 

10. 236933 
10.236755 
10.236578 
10. 236400 
10.236223 
10.236 


10 08931 
8 21 


Secant. 


* 


rr 


we 


+ pp jp +£++} 


— —wB2M2ᷓ— — Jo 
- 


| a Tangents and Secants. 


| OS — 


Sine. Tang. 


zo[9.763954\9.9106861g.85 3268 
3 119-7641 31'9.91059619.85 3535 
32'9- -764308'9. .91050 
339-764485'9.91041519.35 406 
349.2646629 910325/19.85433« 
35/9-764838'9.91023 5/9.854603 
369.765 59.9 01449.854870 
3719-765 191 9.9 100549.8 55137 
3819 7653679 92996319.85 5404 
229 88872 858621. 
409.7657 20 


9.909782 9.855938 
9.765896 9.909691 
1 


90960 2 
4319 76624%9 


855471 
856737 


459.7665980.96932809.857270ʃ 
7667749909 2379.857537 
47 2669490 9091469.85 7803 
4809. 7671249. 909055 

22 
9.7674759.90887 3.9. 858602 
9.767649 9.90878 19 858868 
529.7678 249. 9086919.8 59134 
539 767999. 908 5999.85 9 4 
82288728827 9882.5 
559.768 3489 908416 9.859932 
569 76829 908 324 9.860198 


51 


58 9.76887 1% 908141 9.860730 
59 9.76904 5j9.408049 9.860995 
609.7692 99. 007958! 9.861261 


ay 4 Sine. 


— ==" 


e 


9 856204 


909510 
4419-756423 ee 85704. 


9. 858069 
90896419.858336 


579.768 9.908233 9. 860464 


35 Degrees. 


_ 2 — + 


10.146732 
10. 146465 


10.145931 
10.145664 
10.145397 
10.1451 30 
10.144863 


Sec ant. 


10.089314 

1000 
10. 89494 
10.089585 
10. 89675 


10.089765 
10. 0898 56 
10.089946 


10. 144596 


to. 14432910. 901 27 
10. 14406 2110.090218 


1014379 


to. 143263 
o. 142996 


80.1435 or 6age 399 


10.090037 


10.090308 


10.090490 
10. 090581 I 


0.142730! 
10. 142463 
10.142197 
19.141931 


10.141398 


10. 14060 
10.140334 
10. 140068 
10.139802 
10.139536 
10. 139270 


10.141664 


10. 140866 


10 090672 
10.090763 
10.090854 
10.090945 
1.991035 
10.091127 
822 
10.091310 
10.091401 
10.091493 
10091784 
10.091670 
10.091 767 
10 091855 


| 


| 


1 


10. 139005 


19.138229 


Tang. 


1009195 


10. 236046 3c 
10. 235869 
10.235692 


10.234456{21 


10.232525 


10 231652 


10.235515 
10.235338 
10. 2351622 
10. 23498 5 
10.234809]2 3 
10.234633]22 


10.2342802 

10.234104 

10. 23392818 
109.2337537 
10.233577|16 
19.233401 15 
1275570 
190.2330513 
10.232876 12 
10. 232700 11 


uy 


10.232351 
10.232176 
10.232091 
19.231826 


10.231478 
10.231303 
19.231129 
10.230955 


I0.092042) 


| Secanr. 


10.230781 


| 58 Degrees. 


— 


R 2 


* — 3 4 
YH "= Table of Artificial Sines, ; | U [7 
[= 36 Degrees. _ 1 f | 
3 | 
| 5 Sine. J Tang. Secant. | 
3 en e TEES 1 Wm 
| 009.7692199. 907958 9.861261 10.138 39H . 02042010. 230781160 


119-769392[9.907 866(9.861527110.138473110.092134{10.230607[59 
9.769 5669. 907 77419.861792110.138208[10,092226|10.230434\58] 
ok .76974019.90768219.862058[10.13794240.092318[10.230260[57 
[9.76991 319-907 59919.862323110-137677110.09241 | 
19-77008716 .907498[9.86258 1 10. 229913050 


$19.7 70260j9-90740619.852854[10.13714 

719-77043 319-997 31419-8631 19]10.1 36880 
$19.77060619.90722119.863 385]10.136615110.092778[10.22939415 2 
019-7797 7919-997 125 $63650 10.136350 10,.092871110.229220|51 


1019-77095 2/9.90703719 86391 510. 13608 50.929630. 229048000 
1119.77112519.99694 519.864 18010.135820110,09305 5/10. 2288759 
1219-77 1298t9.9068 5 29.864445 10.135555/t0. 09314800. 22870480 
139.77 14709. 9067609 864710 10.1 35289110.09324 10.22852 
1419-7716 16425 9.9966671g 864975119 135024 


15977181565 9.906574 865 24001 0.134760. 093425fl0. 22818 55 
169.77 19879. 90648 29.865 50510. 13449 5/0. 093518010. 2280734 
179.7721599. 9063899 86. 134230010 093611010. 2278413 
189.7723310. 9062969. 86603 5}r0.133965110.093704110.227669j#2] - 
1919-772503[9.90620419.866300Þt0.133700/10.093796]10.227497|tE 


2019-772675|9:90611119.866564[19.133436(10.093889|10.22732 5/49 
[2 119.772847|9.90601819.866829]10.133171110-093982[10.2271 533 
2219-77301819.90592519.867094{10.132906[10.09407 510. 2269816 
239.7731909. 90583 29.867358 0. 1326421 0. 094168010. 2268 10 
24'9-77336119-995 73979 $67623110.132377/10 094261110.2266 


07775 9.905645 9.86788 [0.132113 10. 09435510. 226467535“ 
77370409. 90555 29.8681 52/10. 131348110. .09444 110.2262 
2719-77337519.90545 868416110. .131584,10.094541[10.226125 
2819-77404619.905 366j9.868680!10. ig 10094634010. 225954032 
29 9.774217 9.905 2729.868945 0. 13105 flo. 094728[10.225783 31 
29.274388 9.98179 —_ .130791[10.094821110.225612130 


Sine. Tang. 1 Secant. | - 
62 Degrees. = 


— 


Fan 


l Tangente and Secants. 


5 Sine. 


309.7743889. 905 179 9.869209 
319.7445589. 905085 9.869473 
329.774 299. 904992 9.869737 
339.7748899 9048989. 70001 
2 9-77507019-904804'9-870265 
359.7752409 9047119.870529 
369.7754109. 9046 17 9.870793 
379.7755809. 904 5289.871057 
389.7757500. 904429 9.871321 
39 . 289209 95433821885 
409.7760 \9-90424119.871849 
419.7762 599.904 1479.872112 
429.7764299. 90405 319-872 376 
903 9599.872640 
903864/9-872903 
9037709.873167 
90367609.873430 
4756.777275 9035819 873694 
45 9.777444. 90348 79.873957 
49Þ9-777613/9-993 3929 874220 
| (59Þ9-77778 19.903295 9 874484 

511]9-7779509-9032031[9-3874747 
5219-7781 1919.903108 9.875010 


10.129735 


'5 319-773287/9.903014[9-875273 


$419-778455'9-9029299-3755 A Err 10.09708 1119-221545} 6 


10.130527/10.094915]10.225 442 
10.130263110.095008[10.225271 
10.129999[10-095102110.225101 


10.129471 10.095289 10.224760 
10. 1292070. 09538310. 2245 
10.128943 


10. 128151¹0. 09575 
10. 12788810. 09585 300. 223741 
10. 1276241 . 0959470. 223571 


10. 12683 3.0. 962301. 223063 
10.0963 24 0. 222894 


10.12657 
10. 126306 ff. 964 1910.222725 
10. 1260420. 0965 130. 22255 
1122205 


19.125253110.0967g7]10.22205 


19.12499 
10.124727 


55 ng roar go ies 10.124200110.097176110.22137 


5 59.7787929.90272 


599.7792959.9024449.8768 51 
509.2224.992349 9.822114 


Sine. | 


| 9.87606310.123937110.097271[10.221208 
$719-7789609-902634'9.876326| 97 4 
$819-7791 W 


10. 12367410. 09736 
10.123411 
0. 123148 0. 097556. 220703 
10.12288 


10.2 21040 


10. 224930 


10.095477 to. 224420 
10. 1286791. 95 571 O0. 224250023 


19.128415 10.095665[10.224080), , 


10.223910 


10.096703j10.222218|1g 


ang. Secant. 


EJ-- Degrees. 


Z 


— 


. 
" 
— — — 


— 


. 


| 


| 169. 762132 9.900818 


9 9.785968 


1009.781134 
11 


A Table of Artificial Sines, 


37 Degrees. 


9.77946319-902349 
779631 2902253 
29.779798. 902158 
39.779965. 902063 
419-7801 339.2190 


59.780300 1 


780467 9.90177 
7806349.90168 
809.7 8080 19.901583 
901489 


Tang. 


9.8771 1410.122886 o. 097651 
9.877 3770.122623 
987764010. 122360 
9. 877903010. 122097 
9.878165[10.121835 
9.878428 10.121572 
9.878691 
119.873953 
9.87921 


9. 


Secant. 


' 


0. 121309 
10.121047 
10.120784 
10.129922 


879478, 


10.097 747 
10.097842 


10.097937 
10.098033 
10.098128 
10.098 224 
10.0933 19 
19.098415 
10. ogg 510 


7813019.901298 
129.78 7467.501202 
149.2 781800 


9.90100 
1519.7 78196609 


9.90091 


1719.78229819.900721 
185 78246409. 900626 
199.78: .7826309-900529 
20. 
9.78296 19.900337 
229.7831279. 900240 


78279 8 
9 


9.90 1394 9.879741 
9. 
880265 


13 266% Ho 1069880528 


ate 


.* 


9. 
9. 
9. 


4 


00479. 


10.120259 
10.119997 
10.119735 
I0.119472 
10.119210 
10.118948 

10. 118686 
10.118423 
10.118161 
10.117899 
10.117637 
10.117375 
10.117113 
9.883148 10.116852 
883410 10-1 10.116590 


880003 


880799 
221552 
881314 
881576 
981839 
. 


882363 
882625 
882887 


27 9.783953 e 


10.098606 
10.098702 
10.098 798 
10.098894 
10.098990 
19.099086; 
10.099182 
10 099278 
10.097374 
haters / a 7B 
10.0995 67 
10.099663 
10.099760 
10. 998 56 
19.599998 


88367210. 116328; 


9: 883934 10. 116066; 10.100146 


884196 10. 115804 
9.884457 10-I15543, 


9 834719 1011 5281/10. 10043 
4679.88. 884980 10.11502010.100F33 


Tang 


19.100049 


10.100243 
10. 100340 


10.218366 


10.220537 
10. 220369 
10.220202 
10.220034 
1.219867 


10. 219700 
10.219533 


10.219366 
10. 21919952 
10.219032[51 


10.218866[5 


10.218699 
10.218532 


10 218190 
10.218034 
10.217868 
10.217702 
10.217536 
10.217370 


10.217204 
10.217039 


10. 21687303 
10. 21670803 


——— 
10.216377 


[+ 


4 
48 
47 


45 
44+ 


43] 


42 


36 
35 


| Secant. 


10.21621234 
10.216047 3 
10.21 5882 32 
10. 215718031 


10215553 30 


— 


— 


52 Degrees. 


7 


— . — —— 


* Tangents and Secants. 
37 Degrees. 


Tang. | Secant. 


309. 7844479.8 99467 884989 I0.I1FOIQHIO.IOOF ZZ. 10.21 $553]30 
3119.78461 2/9.8993701[9-385242j19.1 14758 10.100630 10,215388 


32[9.7847769.89927z19-385 503|10.114496110.100727/10.215224 
33 1869419699870 ,885765110.114235]10-100824 10.215059 
3419-7 25105 .899078 .$86026110.113974119-190922 10.214895 


3519.785269(9.89898 119.886288|10.113712110.101019,10:214731 
3619.78543 319-398 88419 $56549[19.113450110.101 116110.214567 
37.785 5979.898789. 8868 10.0. 11318910. 1012130/10.214403 
389.785 7619.898689 9.887072 10.112928 10. 1013110. 214239 
3919.78592919.898582 988733312667 19.101408 10.214025 
409. 7860899 8984949.88 75940. 1124061015060. 21391 
419.7862529. 898 3979 88785 50.112145. 10160310. 213748 
420 786469 898 4999.888116. 1118831. 10170110. 213584 
439.7865799 8982019. 8883770. 111622010. 101798 10.213420 
6 449 7867429.898 104 9.888639 10111361 e888 4385 
f 459.7869069. 8980069. 888900 10.111 100 10.101994'1 0.213094 
4619-787069 .897908(9.889160|19-110839 10.192092/1 0.212931 
4719-787 23219.89781019.889421129-110579,10.102190/10.212768 
4. 787395 9.8977129.88968 210. 110318010. 102288 10.212005 
499787857 827614 889943/12-112957110.102386,10.212443 
8 890204 10. 109796 10. 10248410. 212280 
519.7878839.8974 1809 89046 500. 1095350. 10258 270.212117 
| 89732299 890725 10. 10927510. 102680 19.211955 
5319-788 2089.897222 890986101090 14/10.102778110.211792 
$4 9.788370[9-5897123 891247 10.108278 1.102827 18.21 1630 
5519.78853219-89702519-891507[19-108493{10.102975[10.211467 
$619 78869419.89692619 891 768 10. 108232010. 1030731211305 
5797888 569.8968 2809.89 20280110797 1010.103 1720-211143 
580 789018 9.896729 9,8922890. 1077110. 10327 0.210982 
59 9.789180 9.89663 109.892 5490. 1074510. 103 36910. 2105 20 
6009.789342 9.8965 3290.892810 10-107190/10.103468 10.210658 
We Sine. Tang. Secant. 


£ 52 Degrees. — 


wy — — 
» ww + 


© 0ols 


— 


lo-wvwe l 


A Table of Artificial Sines, 4 


— 


to 
1 — 


E Sine. Tang. Secant. 
[9.78934 219-8965 329. 892810 10. 1071900 103468010. 21 365. 
| 119.78950419-3964 3315 -$93070/10.106930 10. 1035670. 210496 59 
[ 219.789665[9-8963 3519-893331 10.106669 10.210335|58 
| 39.789827. 8962369. 8935910. 1064 1021017357 
| ls .789988(9.896137 9-893851110.10614 [0.21001 2] 
| 5.790149 9.89603819.8941 1 1[10.105889]10.003962[10.209851 55 
| 519.7903 109.8959399. 88437100. 10562800. 10406 

97904719. 89584009. 89463210. 105 36800. 10416 
89. 79063 39.895741. 89489210. 105 108.20. 104259 10. 209367562 
95.790792 9.895641 9.895152. 104848010. 104359 
1019-79095 419-895 54219-89541 2]10.104588|10.104458[10.209046 50 
1119-791 11519-89544 3]9.895672110.104328 10.104557 
29.791275 9.8953439.8959 3200. 040680. 104656110. 208725048 
139.7914369.895 244{9-896192[10.103808[ro.104756[10.20856 47 
[14{9-7915961[9-395 14419-85645 2/19-103548]10.104855[10.208404[,6| 


159.7917576 895045 9.896712 10.103288 10.104955 
169.7919179. 8949459. 8969710. 10302 o. 10505 5. 20808344 
| 1719-79207 719.894 346[9.897231110.102769]to.105 154[10.207923 43 
| 18[9.792237j9-394746 9.897491]10.10250 19. 1052540. 20776342 

199.7922397 9.394 54619-89775 1110-1022 
2019.79255 719.394 54519-89801 0f10.101990\t0.10545 
21 9.79271 i 2.394 46 9.898270 10.101 730 10.105554 10.207284 39 
þ 2219. 7928 7619.894.346]9-8985 3o[10.101470ſ[10.10565 
[ 12319-79303 519-89424*9-89878g[10.101211[10.105754[10.20696; 37\ 
2419-79319519-38941 2555 55 10.105854[10.206805|36/ 
2519-793 354]9-894046Þ9.899308[19.100692]10.105954[10.206646|z 5 
2619-7935 1 3j9-89 394619-899568[10.100432[10.1060 
270 7936730 893849.899827[10.100173[10.106154þ10.206327 33 
289.7938329 893745([9-999086[10.09991 3|10.106255[r0.206168 32 
2915-79399119-89364519-20034610.099654[t0.1063 5 5J10.206009]; x 
3919294150 893 <4419-909605[19-099395fr0-10645 
Sine. wks Tang. | Secant. | 


— _ 2 
— 51 Degrees. | =. 


= 
O 
8 
\S 
— 
2 
E 
- 


Y 


— — 


4. 


| 40 9.79573 9.8925 369.903 197/10. 09680 
41 9.797897 9.89 2435.903455. 0965 


— 
» — 


i5819-798560[9-89070719.99785 2110.092147 


6049 79387 2]9-390503 9.908369 


32/9-79445719-89334319-9911 24[19-99887 
339.7948620 9.893 243.9013830. 09861 
34 294784.9 142.9064200. 098358110. f oz 
35 9:79494219:893 04 1 9.901901 10. 99809 10. 10695 

69.795101 9.892940. 90 160.0. 097840 o. 10708 


3919-7955 75] 89263719-99293$[10-997062 


5219-7976211989131 
54/9-797150[9-89111519.9068 19110.0931$1[10.108885 


| — 


5519-79809 19.891013 907077110.092923 
5619-79824719-89091 119.907 336}10.992664 
5719-79340 3]9-390809]9.907594j10.092406 


10.109191 
10409293 


599.7987199. 8906059. 906111 10. 109395 


3 

37 -795.25 919-3928 3919-9024 19}19.997580j19.107160| 
138 79541 719-$9273819-902679119.09732 101. 107261 10,204583 22] 
--: 20 211 0, e | 


5312-7977 77] $9121719.996560110.09344<[i0,108783| 


10.20222 
10. 202066 


— — —y— — —— 


10. 108987/fO. 201909 
10 0go89]1 0.20175 3 


10.201597 
10.201440 
10.201284 
10.201128 


10.091631 10 109497 
Tang. 1 


_— 


. 31 Degreor, 


1 — as 8 111 


— — 


_ Tangelics and Secantss 
38 egrees. Me 
py 2 ne | - 2nit 
Tree ——— — — ö 
7941 5019-893544/9-99060g5[1 9.999395[19.196456[49.205 85913 
719432819.893444(9-900864110-999135[10.195556[10.295692/29 
10,0665 70. 2055 33]2* 


——_— bn 


3 


|  319-7993399-899195 


. 
ji | 


9109 og r0.08904 


911467 


19]9-8015 Fr 


1800 88 8885489 91; 913271]10.08672 


2<{9. . .$£884449-91352 
2040p. 802128 
2219, 802282 


8882379. 9740 


14.80 25 899.8880309 91456 


189.803 204.8876149 91559 


9 
9.80381 n 
Stne. P Tang. 


19.799029 9. 8 904009. 90862 7to. 91372 
29.799184 9.890298 .9o8886jro.091 1 140. 109702 
-909144110.090856 
42.299495 9890093 09402 0.090598 

9 .909660 10. 090340 
8 909918 185 09008310. 110112 
10. o89823[10.110215 
9:8001 +49.88968219:910435]10.089565110.110318 


2 089307 10 110421 


10.088533 
9. 889 2'9. 88916719-911724/ 1 0.088275 
1402. 010479 9.88906419-911982] 0.088018 
779.8012019. 9.888961. 9122401 9.087760. 11103 
1649 8013559 8888 589.9124980 08750 10. 11114210.198644 
9.888755 9127568. 087244 

18 8016659. 8386519. 913014]to 086986110. 111349110.198335 
91011145 


10. 086471 10.11155 
8883419. 91378710. 086213 10.11 1659 10. 197872039 
10. 085956 10.111763/10.197718 
66'19. 1975643. 


130802 39.888 1339.914302 10. 85698 10.1118 
10. 1922412 


10.085440,10 111970 


2519.8 $02743/9-8879259 91481710. 08518310.11: 112074j10, 197257 35 
269 802897/9-8878229.915075]io 08492510. 112178 
7.80 0509.887718 9 915332[10.084668 10.112282 

10. .084410 10. 112386 10. 196796 32 
99 8033579.887510 99158470. 08415310. 112490 10.19664 3' 31 
10.083895|10 10 112594 10. 19.196489 20 


10.109805 


10. 109600 


10.109902 


A Table of Artificial Sines, 
| 39 Degrees. Ws 
Sine. | Tang. ö Secant. 
1 e eee e eee eee 
798872989050 3 9.90836 1.915371. 109497 10.201728 


10.200972 
to. 200816 
to. 200661 
10. 200505 


— — 


10.110523 


10. 08879110. 11062 
10. 11072910. 199263 
10. 11083210. 199108 


10.110936[to.19895 3 
10. 198798045 


1 | 


10 1100189 


10.200349 
10.200194 
10. 555745 
19.199883 


10:199728/51 


10. 111245/10. 198489 


2 


15.199573 
10-1994r8, 


5 


10.198181 41 
10-11155610.1 198026040 


he 497103 3:1 
10. 19695033 


1 Secant. 2 


— — A... 


FO Dezrees. 


38 


SA. wh Ia. Lib. ob. 2 


—E 


— 


* 


2 
rn 


LD -- 


Sine, 


Secant. 


9.916104 
9.916362 


10.083895 


10.083638 


10.11 2594 10.196489 
10. 112698 10. 196336 


886989 917134 to. o8 2866 


10 083381 


9.916619 
10.083123 


916876 10.112907 10.196 


905343 


— 11— ͤWw  —— 


9860479 919448 19-0805 52 


80575919 885837 
805951 


885627 
80625419.885521 
+29 80640619-835416 
88531) 
885205 
885100 
) $84 294 


9884783 
9 80745: 2 $54677 

).884572 
2.384.460 
2.884 35c 


| 
| 


885942 9:919705'19.080295 


885732 9.920219 10.079784 


10.113220 10.195 572 
10.113324 10 195419 
10.113429 10.195266 
e 
10 113638 10. 19496 
10.113743 10. 194809 
10.113848 10. 194657 
10.113953 10.194505 
19.114058 19.1943 
10 114163 19.194201 


9.919962 10.080038 


10.114373 10.193897 


9.920476 19.0795 24 
67110.114478 10.193746 


9.920733/10.0792 


10.114689 10.193442 


10.114794 10.193290 
10.114900 10.193140 


991150310. 078497 


9.921 te etz 3 
9921 7601. o 8240 


9.922017 19-97 7983 


9.922530 10 077470119 115217 109.192656 
922787 10.07721310.115322 19-1925 35 

9 923044\10.076G5610 115428 10.192385 

3.923300'10.07670c'10.115534 10.192234 
1923557119.-976443 10.115640 10.192083 

9923813119 076186 10.115746119,191932 
: Tang. | Secantr. 


_— 


10.112802 10.196183|, 


).92099c10.07901oſro.1 14584 19 193594 


10.115081 19287 
1539.884889 92227419 07772610.11511170 192837 


10 114268 10.19 49 4} 


— 
2 © 


ET. 


2 


— 


— CO 


— 


30 Degrees. _ 


i Mn. 


— 


8 


lo = ww. 


1.11311 fore © | 
25 


10.113115 10.195 724], 


' 
| 
| 


40 Degrees. A 


BW 


A | Table of Artificiat Sines,” — an 


0 
aut . 
59.808 5 1019-5 


7 8091 1 9.88351 
. 2 .$0926919.388 3404; 

9.883297 
883191 


69.810465 882550 
179 8106149.882443 
189.5707605 882335 
19 8 


Tang. | 


519.8088 1919. 88372 9.925096 10.07490 
9.883617]9.925352 10.074648 


9.925609 
9925865 
222821 


l- 


——_— 


884254/9:923813 10.076186 10.171574 
80821809 884149 9.92400 10.075930 
29.924327 10075673 
924583 10.075417 
8086599. 88382919.924840 10 075160 


10. 74391 
10.074135 
10. 073878 


9926378 
9.926634 


9 92689010. .073110 
99271471. 072853 
9:92740319-072597 


10. 973622 
10.07336 


9.927915 
9.928171 
9 928427 
9928895 


952765910. 072341 


9.923940 


209. 81106109. 5.882121 
1285 81121009.88201 
229. 


9.88158 


o 612246 881261 
99 81239 
2 


92919 


93021 


-83147719-930475 


930731 
93098) 


8811539.931243 
$12544 2.881045 9.931499 
5 | Sine. - 1 


10. 07208 510. 11745 

10.07182910.117537 
10.071 2 17664 
19.9213190/10 117771 
10.07 ioo. 17879 
lo. oog. 17986 


8113589.88 19079. 929452110. 070548 10.118093 
239.8 11507%9.88 17999. 929708010. 070 9210.118200 
2419.81 $1165 519: 1.88 1692 929944 10.072036 10.118308 


Io. 0695 24) 10.1 118523 10.18804813 
10 069269 10.118631110.187900[33 
Io. 06901310. 11873910. 187782 


10. 068757, 11.118847 


10.068501 10 1189 5f4ʃ10. 10.182456 0 


— — — 


1 | | 
10.115852110.191782159] 
10.115958|t0.191632 58 

10. 11606410. 191481 
10.116170. 191310 
10. 116277 10. 191180 55 8 
10. 1163830. 19 03054 
10. 11649 0 ff. 19088 3 

10.116596 fo. 19073 ij 2 
10. 116793]/l0. 190581071 
10. 116809 f 0. 1904315600 
10. 116916010. 190282149 

10. 117023010. 190132448 
10. 11712910. 189983 7 £ 
10.117236|10 10 1898 33146 


10. 1173430 10 18968, 45 


— 


0. 19193250 


7 
[55] 


„ 


10.189535 
10. 1893800434 
10 1892374 
10 10189088046 
10. 183935 
10.188790135 
10.18364.2]38$ 
10.188493 
190.1883450 


10. 18819635 


— 


SS in. 


2 


40 


dd 
. 


1 


* 


10. 187603031 


Secant. 


= 1 4 RBD 


189 
. * 


8 h Tangente and Secants. 


— — 


— — -. aw * „ cs — 


40 Degrees. 


7 
— 8 — „ — — —- — — * — 
* 4 — 1 l 2 l 
a . F | 1 , * 
, Sine. ' g Tang. þ Secant. | £55 ” | 
% } * , * 
R* g Y 7 


9.81254 9887059. 931499 10968501110. 116954 4047476 zo]. 
9 8126925 880938 9.931255 10.068245 flo. 11906 fo. 18730 8lz9 
9.812840 4 880830 932010 10. 067969 10,119176|10.187 1608] 

9.8 1298819-88072119.932266, '10.067734/10. 119278|ro.18701 

49-8 131351 9.880613 92522 10. e 119380. 18686 


— —ů— ä 


38 8132835 58055 978 67223 10.1 1949 ʃt-o. 186717 
_ 619-81 343019-88039719-933033 10.066967 10.119603|1% 18657c 
132813578 8802899.8332$9110.06671 1j10-119711Þ(0.18642 
3899.813725. 8801809 9335450. 066455 10.1 19820 
" tzols 873822 , 2-58007219-93 3800{10.066200 10.119927}10 


44055 5174019 99.879963 9.934056 10.015944 10. 12003) 
418147669. 87985 59.934310. 065689 10. 120145 
42P-8143139.8797409 9345670. 065433 1012025 
435 8144609 .6796379. 934822010. EAN 

, 9.8 1460715 9.8795 2919+ 93507810. 064922: 


— — —— 


1505 $14753[9-87942019-935333 
d.8149001[9.87931113-935589 
3 172 9.8150469. 87920209 9358 | 
+8 81519319.87909319 9360010. 063 3900 10.1 209070. 1848909 
9-81533919.87898419.936355/10.063645/10.121016|l0,1848661 
5of 0.815485 9.87887 5]9.936610/10, 063 389 10.121129 10: 184515} . 
L 118.81 563 i 87876099. 9368 — — 12123410. 184368 5 
2 $2 81577819.87865 9371410 ee 

139 $159231j9.878547/9.93737610 06262310.121453;10;1840 

9.81606919.878438 9-93 7632 10.062368 10. 121562/10.18393 1 
55.876215 9753299 93 937887 1062173 10.121672|10:18378 
59 .816361ʃ9 8782199938142 10 061858 10.12178110.1836391 4 | 
719.81650715 878 1099 93839710. 061602 10. 1218911018341 7 119 
105 9.31665 21g 5779999938653 10. 061347 10. — | | | 


9.816797. 8778909 938908, 10.061092.10.122110|10:183202 
9.8 1694319. 8777809 939163/10.060837;10.122220|10. 18365 


Secanr. | .} 
__ 8 


Sine. Tang. 


— —— 


A Table of Artificial 


Sines, 


41 Degree F. 


——— . 


r 


79. $1 7958'9. 8770109 94094 10659957 


8 9. 818103 9. 8768999 941204410. o58796 


9981824709. .$767899-941458[10. 0.058541 
109 8183929. 97667 80. 941713j10. 0.058286 
119.918 5369.876568 941968|10.05803 2] 
129. 81868 19.856457 0942223119 057777 
128457295 $7634719:942478j10.057522 
149 . 318969: 99376236 99427330. 057267 
15987911309 8761259.942988U 10.057011 
169.8192589 8760 149.943 243¹ 056757 
179.8194019. 8759049 943498 10.056502 
105 8195459.8757939.94375 20.056248 
9.819689 9 9256820. 9 44 lo. og egg; 
209 8198329.8755719 944262055738 

ny. $19976!9-$75459]9-9+4517110.05 5483 
229. 8201 zol 8 $7534%19-944771110.055229 
218. 820263 9.875237 9.94506. 054974 

24229459 9-375126 945281110. 0.954719 


25 5205500 $750149 945535[19.054465 

.$20693'9 8749030 945 7000.054210 
270 -$208369.874791'9.946045}10.053955 
2809 9209799 974679 9.946299. 
299.8211229. 87456809. 946554 


Sine. 


10.123764 


$JLO.1 20432 


| Secant. 


Oe fi 
10.122220 
10. 122330 
10 122440 
10. 1225850 
1610.122660 


— — — — — — 


6100.122770 


1012299 
10.123101 
12.123211 


19.123321 
10.123432 


10.123543 
10.123653 


10.123875 
10.123985 
10124096 


2 1 1-4 182187 


10182042 
10. 18189 
10. 0181752181 


10.182919 
10. 18276 


10.182476 
10.182331 


10. 18262177 
f 

50 

5 

5 


1 


x 


N 9 
þ 


10.181608! 
10. 181464468 
10. 18131941 
10181175 
10.181031 


10. 180887 
10.180743 
10.180595 
10. 180455 


10 12442 

19.124541 
10. 12465 2 
10.124763 
10 124874 
10.124986 
1.127097 
10 1252 

10.12532 


10.1 24207 
10.1 243 l 


lest 
10.180167 
10. 180024 
10. 179880 
10.179737 
10179594 


10. 179450 
10.179307 
10.179164 
0. 17902 


300. 8212659. 8744569. 9468060 253192 
F1 = Tang. 


10. 17887 


e ebe) 


Secant. 


— 


. 


* 


| 
1 
10. 18305750 7 1 


| 


| 


———— 
_— 


3 


3 
3 


rern 


11 OE OE I "IO" — A 


— 


PID — — 


„— 


L 


n : 
- - 


1 
Ki. — TLL. 
: 


« — — 
——— - 


* Langents and Secants. 


— — — | 
41 Degrees. 

Sine. Tang. * aan. n 
— — 1 ——1— | —uy— — 
59.821265 9.8744 569.9468050. 0 3192 10.12554410-178735 301 

9.821407 9.87434. 


94763 10.052937 10.125656 10.765939 


9.821693 9.8741 209,947 57210. 2428.10. 12587910. 178309 
1.821835 9.874008[9.947826 18052173 10.125921 19.281856 


36 822120987 3784.948335 0. 05166410. 14621 | 
37822262 9.873672 9.948590, 10. 05 1410010. 1 2632810.77738 


22 


9.8215509.874232]9.947317(10-052682,10.125767,L9-78450/.8 | 
71 


35 p.$21977,9-27385 519-948081110.051919,10.126103,10.17$8022 15 | 
10.177880 241 


2 
389.8 22404 9.873 5609.948844 0.051156 10. 12644010. 177596 a 


39Þ-3225469.873448[9-9499099(19-050g01 19.1 2655210177454 1 
4109.822688 9.87333 59.949353 2C 
14119-8228309.873223 9.949607,19-050392.10.1 26777191771 70 
ö 42.822972 9.873 1109.949862 10.050138 10. 126900. 177028 
4.323114 9.872998[9.9501 16 10. 49884 10.1 270020. 1768860 
| PA (+ 823255 9 872885 9959370, 12.949629 10-127 11519-17674: 


[4 9.8235399-872655 9.950879,10-049121/10.127341;19-176461 ' 

4719-8236809.872547]9-9511 3349.048867. 27453.19-176320], 
| 48h .$238219.87243419-951388,10.048612,10.127566,19-176179], \f 
[49Þ-823963 9.872321]p-951642.10.048358 10.127679'19-176037 


— 


51 824245 9.87209419.952150 10.04 850,10.127905 19-17575$] 
5219 8243869.871981 eee eee 
539.8245827 9-871868/9.95265910.047341,10-128132 10475473 
8.54685 9.871755]9.952913 19.047087,10.1 28245 19475332 
15519.824808 9.8716419.953167 0 o468 3310.1 28359 .175192 
5$69.8249499 871528 9.95 3421/10.c46579,10.128472/10-175051 
7579.825090 9.871414 953675,10.0463 25j10.12858620.174910 
789.8258230 9.871 3019.953929 40.c46271110.1 286991 0.17477 
9$.325370 94371387 9.954183 10.c45817j10.4288(349.174629 
fog 8 5$119-874073 9.954437 0-245 $6210.1229261 04174489 
+} | Sine. | Tang. I Seca. 


[= _ 2 . 
» 48 Degrees. 


bs —[— — r 
—_ = ww — 8 


10.050647 10. 1266650. 1773 12½ 9 


48P- 8233979. 8727 729.9506625 10. 0493750. 127228 0. 1 766ο ff 


5 olg. 8e 4104 9.8 72 2089.95 1896 10.048 104 10.127792 10. 175896. 


= A Table of Arrificial Sines, of YA 
— = |; 


42 Degrees. 
ik Sine. ws || 


52771 19. 377778954457 10. Tec ro.128926 10.174489j6; 

| 9.825651 9.8709609-954691 10.045308|10.129040r0.174349 

| 9.825791 9870846 9954945 r0.045054/10:129154]10.174209]8 

I 82593 198707329. 955199 10.544800[10.129268[ro. 17704 
g9.82607119:870613 9-95 5453 10.044546110.129382][t0.173928 


IIS. — 


55 826214 87550419-955707 19.044292]19.129490[10.1737S9fg: 
69.8363519.8703 955961 10,044038[10.129610jro. 173649 
5b.8 26491 9.870½769 96215 10. 04378 5/0. 1297 24ſto. 173549 7 
8/5 82683 19.870161 956469 10:043531119-129839]10.173 370 p2Þ. . 
9.826770/9.87004.7]9-95723 10. 4227-29 [Ze f 
1019 8269109. 86993 319-95697 7110.04 302 3/10.120067]10.17 3090 4 
11.827049 9.8698 18.957231 10. 042769ff0. 12018210. 17295 % 
957485110. 042515 fo. I 202960. 17281 HNA 


— 


gecant. 


Tang. 


— 


1219-32718 966970 | ! 
'3 4 8273289 8695 89[9-957739 10.042261 0. 12041 0. 17267205 al 
9.827467 869474 95 2-95 7993!10. 042007 10.120526110.172533|46; 


4 
5 9. 327606 9 8693 869360 958246 10. 241753 10.13064c 10.172394 471 3, 
1619 8277459. 869245!9-958509;10 041500{10.130755]10.172255| 7 df 
[ |r519-827834/9.8691 30/9 9587540. 04124600. 13087810. 172116 6 
[I r$19:8238023(9 22755 . .040992{10.130985[10.171977 x oh 


—_ 


* 


* 1< 93281629. $6890019-9592921ro. 040738 [0.131ToofI0.171336 wml 


|| {op 828301j9:86878519-9595 1 5jro 4048410. 13 121 ffro 10.171699 al 
|| [2119 82843 868679) 9397700: 0402310. 13133010. 171561 191 
22.828578 85855 519-960023/10.93997 7110.13 fo. 1714220 
2319 9287169.868440 9.960277 fo. 029723010. 131560 [0.17 1284, 
F 9 $2885 7.368324. 960+ 30J1o. 2394709110: 10.131624 10.171145 36 


— — 
— —ꝑ— 
2 RY 


2519 82899319 868200 9990 95078410. 539216 10.131791]10. 1710077 2 
2690.829131 868093 9.961038j10, 038962 10-131907[10. 170869 144 
2719.82926919.857978'9 961 291j10.038708110.13T102210.170731J40 | 
2819 82940719.8678621.95 545110.038 45 5[10.132138[10.170591 32 
1294.829549 86 7}9:951799(16.038201|t0.132253110.170455}2 10 
zo[3-82953 :19.85763 i19 962952 10 037947]10-13235910-170317 of 
4 "> | Tang. - }Secanr. [| 


— 2 i — 


— 
- - - - P_ — 
Pry 0 —_—  _. *— 


47 Degrees. 


th — 
——— 5 


KS — — 


| 


14519-83174 2 865887 


N 


[34/9-830234/9-86716719.963067[15.03 
3519-93037219.86' 
300.8300. 

.963827110. 


- 
| * 
— — . 


10 8 


335.8300979 8672839.962813 87 


9.96585 5110.934144 
$9.87187919.865770/9:966tog Th 
9.91201 9.86565 319-966363]rv. 
48 9.8121529.8655 369.9666 1001 


967370] $032624 


518.8325610. 
9.9676; oft 


529.83 2697. 
535.8338335. 


8645989 9686431 
8644819 96899 7 [To. 
.864363.9-969t5o[10.0630851 

; 10.030597 


| 


* 6 mu | N » — 4 4 — 
2968 39.867631 9.96205 2]1 9 3 7947 mn 23 
r9.537694to:1 
432/9-32995919.357 39919.962560[t0.037440 


Tangens and Seciants 1 "oY 
— — — 
rr "Ob 27d 
— Wk : g * — — 
Sine. j Tang KB. 4 Vecant. 


* -— 


9-9696 54 E.0J0344 


10.132219. 169903 
| 155 J 


r0.137297[to. 169216 


19.17399719-168394 
19.154113/to. 168257 
19:134230[10.168121 
f0.134347110.167984 


963329[to 636680110. 32949110. 169628 
963574|110.03642 ro. 13 3065/10: 69491 
836172 ro.133181 10.1693 54 


2c 


_— 
- 

wy 

. — e——— 


— 


2 
26] 
2 
2; 
23 
1 
Ti 


8637 7419-97041610.029584 
$636561j9.97066 10.029331| 
863 5389. 970 9 220. 029078010. 1 8 
63419 97117 /o. 028825010. 136581 0.16540f0564 
863301. 9714291. 02857110. 13669910. 16527 53 
863183.77 16820. 028318010. 1368 170.1651385 2 
863084. 27921 28965010. 1389 8], 18500101 
8629469 9721880100278 1210. 1370 54 /f 164860. 
8628275 97244110.027559 10.137173]9-164731], 
>3:9 8627099 972694 10.027304[10.137291[19-164597! 
862590l9 972948'10.027052|10.13741 19.164462/,- | 
-$62471]9 973201 10.026799,10-137529[19-164328/, 5 
07,9.86235319-97 3454 10.02654610-137647 19.164193 451 
1169-83 5941]9-8622341]9-973707 10.026293,10.1377 [0.16405 
e, 83607 f. 862115 973960 10.0269 4010.137883 10.163925 3 
| | 1 s 8619969 974213 10.025787|10.138004[10.163791 


SSD r a, , Lm«— Emmy 


1916-8 363431986187 716 974466|10.02553410.138123 10.163657 
209.83647719-861758 9:9747 19110025280 10.1 38242]!0.163523 

.$6163819-974973\10.025027/10,138z362[10.163389 
$6151919.975226|10.024774}10.138481]10-163255 
861400 2-975479110 024521038600 10.163122 


Berg. s61 280992120 2426800. 138 ac 162985 


E  _ 


-837146/9.861161]9 97598 50.021510. 1388390. 16285 
$373799-86104119.976238|10.023762|10.1 389590162721 35 
$37412(9 8609219 976491]10 023509110.139078 10.162587 34 
837546; 1 10.02325619.139198010.1624545 


YL YL wr wrr 


.$6068219.976997|10.023003 10.1393 18/00-162321 25 


837812 Sin 2 . 1.13942 J 8 
| . | ne, Tang. I ecant. 1— 
I 46 Degrees | SIT 


 [zol9-83914cf9-85936a[9.979780 


. | 155] 84 1640j$57056 9:984584 10.01541 50. 1425 


2 


Tangents and Secants. 5 
43 Degrees. 
Tang, | 


—_— 


x 


Secant, | 


Qs. 9.8605629. 977250 10.02275C 10.139438/16.16278 
095 2603220971558 10.022497110.139558}to0.162055 


-977750119.022244/10.139678(10;1 

| 978009[10.021991[10.139798|to.16178c 

3419 (2:36208 2/9 978262119.921 738]10-139918[t0-161650 

3519-83847 5P-35995 219.9785 15119.021485[10,140038/19-161523 
19.021232]10.1401 58[10-46139c 


8386098598429. 978768 
10.920979110.140299}10-161258 


10,02072 5 10.1403 
10 020473 10140528 | 
— 


Jo. ozozze 10. 140640 o. 
41/9-$39272/9-3592 399.9800330. 01996510. 140761110. 
429.8394048 59119 9.980286. 01971 10. 14088 f0to. 
43 9.8395369-858998 9805 38,10.019461 I0.141002/10 
44'9-839668[9-858877 9.980791 10. 01 20 10.141123[ 
. 2.457 — — 
4.839800 5 587 569.98 1044"10-018956110.141244/19-16020c 
409.8399 32˙8 5863 50 981297/19.018703[10,141365110.460068 
479.8 40064. 8585. 981550 10.184500. 141486078. 159936 
9.840196. 58 3939.98 1803 10.08 197% 147600. 16980 
9.8129 858272.9.982056 19-017944/10.141 728[19-159672 
do. 8404609. 38591 09.982309 10.076910. 14 18491915954! 
2 840591/9858029/9-982562 10. 01748010. 14197 1% D 
5.407229. 97908 9.9828 14 10.0718 fff0. 142092010. 39275 
5319-38408 74% %%. 98 3067 0.01693 3010. 142274010. 59146 
2892 5[9-857665[9-983320 10.168800 10 142335/ 9.45908 
5519-841 1 16]9-85 754.3]9-983673 10,064 27010. 14245 710458884 
- 9.85742119.983826 10:0161 74/10.142579110-15875 
5719-841 378[p-857300/9-984079 10.015921110.14270cfi@-i58621 
589.841 5099 857178 9.984331 10.0566. 14462440, 5849 


| 10.55836 . 
856934 9:984837 10:01 5163[10.14.30 


— 2 56110 9 22 
— — Sine. 1 b Tang. 3 cant. £ £4 
46 Degrees. 2 


2 — T 2 


_— 
. 


A Table of Arciticial Sines, 


44 Degrees. 


Non 8. 


856568 4779 


3 
$4397 
11 

1 5 8434655 
14 


84159515 
159.8437259 9.855096 9.98862 


1719.84 30348548 5019-9891 3 


18 Wen ega7% 588385 


203.889 4e 


>. .O00 
IJAADOO 


34909-99191 


$5693 4{6 55655 10.0163 
'85681219.985090h5.014910 
$56690\g.985 3430.04465 710.143 310110.15 7967158 


918455 ee 014152 
8424479 65632359 986101 
8425555 8562019. 98634 1364610. 1437991117446 4 
84263 549.85607819.986607[t0.013393}10 143922}10.157315Þ3 
8428155 47370 $9.936860f10.017J14010.144044|10-1 57185 75 
83782 982112 012888010, 144109. 129. 
9855711 987365 
$4320 9.8 555889.9876 1800.0 12382014441 2110156794] 
8433769 855463% 987871 
5.855342 9887230011877. 14465 
7 . 988219 928837618.182 10.144781 


1609.843855 8549730 988882 


8543509-990140 
:85423319-990 398 
54109919- — 


- { 


10.143056|a0.15822917J 
10.14318$]20.158098Þ59 


10.014404|10.143332110.1578371]57 
10.143554110.15 7700150 


10.01 389910. 143677110. 1575709455 


10 01263 5110.144 289}10.156924 
10.012129 0. 1445341056664 
[9.1065 34 
40.155405 
10.044371}:0.144904110-156275 
o. 011810. 1450 to. 156145 
10.145150 010. 15601 
10,145 274110115 5886 
10.145397 19.45 575 T8 
Q.010107|j10.145534}10.15 5627) 
10. 1456449554985 
2.009602110, 14976 10.155369 

| es = Rey 


10.008086]1 0. — (xt 154595 32 
8 10. 17622 10. 154467 31 


=_ 1 


8 


O 01 


— 


W 


— — 


* 


Tangents and Secants, 


428.8489 119-8 $02799-997221 


oh iy 44 Degrees. a 

8 2H 8 a 

1 , 

= vine. Tang. | Secant. 5 
30 9.845662 $53242 9.99420 10.007580 10.146758 30.1 £4333 _ 


3i19.84579o0lg 8531189.992672{10.007328 10.146882 10.154219 
3219-8459 i 919-35 2994 9.992925110 007075 10.147006 10.1 540818 
3319.846047|9.3528<99.9931 78|10.006822 10.147 131 7.153925 N 
49 84617 % 8527499 99400 869 1e 2 
359 846304 9.85 2620 9.993083[10.005117 10.147380 10.15 369 25 
3619.846432/9.8524969.993936110.c06064 10.14750410.15 3568 % 
3715 84655119.852371/9.994189,10.095811,10.147629 10.1 5344923 
389 846688\9.852247.9-994441110.005 559 10.147750 215331222 
Ne eg 5242 8 2/8 14228124055 
4019-846944'9.85199719.994947|10.C05053 10.1480 0.15305 
4119-847074i9.85 1$72:9.995 199 10.004801 10.148126 10,1292 
219.847 1999.85 1747 9.995452 10. 004548 10. 14825310. 152801 18 
4319-84732719-$851622'9.995705110.004295 10.148378110.152673 , 
4419-8474 549-85 1497 9 995957110.004943 10.148503/10-1 
459.8475829 851372/9.9962 1010. 00379 10. 148628 10.182418 
59.847709 9.85 12469 99646310 003537 1,1486910. 152291 
479.8478 369.8511219.9967 1510.003289 0.148879 10.152163 
4819 847964 9.850996 9.996668 10.00 3032 10. 1490 10.152036 
| 0.002779 10.149130 1.1189 
09.848218 9.8 507459 997473(10.002527 10.149250. 51782 
5109.848345 $506199.99772610.002274 10.1493$1/10-151655 
52 9.84847 29.8 504939 997979 10 10.149507 10.151528 
5355 84859919-850367 9.998231110.001 769 10.149632/10.151401 
$410.38487 2 2 8 c0242 9 998484\10.001516 19.149758 10-151274 
5519.84>852 850i 169.9987 37,10.001263 10.149884'10.151148 
5619.84897 9:9 849990 9 998989 t. 001011 10.150010/10.1516021 


= tt —— —e—ͤ—ͥ 


589.849 2329.849737 9.999495 10.000505 1015026210. 1509 


| 
* 
bi 
u. 


579.8491069 349864 9.999 242010. 000758 10.1501 —.— 50108 


599.849 3 59i9.849511 9.99974 7/10.02025 3 10.150389,10.1 50641 
Solo 84948 519.849485\10.00000 10.000000 I0.150FI5;10.IF0F T5 
Sine. | | Tang, | | Secant. 


lo = vwenlew o 


: 


„ „ 


6 „„ ö 


— _ 


N 


* (1) 


| 


| 
| 
| 
' 


* i * 
** 9997 &* 5% 1 : 
- 92 & % 1 : [4 o . 
p . . " 
8 wy | 
"3 o * 
” g ” 
* | 
4 — —— — —ñ—ũ—ä4— — — 
1 "©. 
ö *d + 
— n — mou m—_=emon_— ; 
* 0 m 9 „ bk as / . W vw” — — 
TY - . P - * 1 1 . : 3 


Of the Nature and Uſe of the Table of 
R 


T will be convenient to ſay ſomething of their Nature and 
1 Sous 1s on. _ 7 * 've id 
to a Rank of continual Proportionals in a Geometric Pro- 
greſſion from Unity. Suppoſe, 19751) -exz3 19 
| I, 2, 47 8, 16, 2, 64, SC . Macon e 
We accommodate a Rank of Exponents in an etick 
Progreſſion, from 0. Suppoſe, f NBM 42 4 


©, 1, 2, 3, 4, 5, Oc. WITS (GW 1 it; I 
It will be manifeſt, that for every Multiplication or Diviſion 
of the Terms in the Geometric Progreſſion one by another, 
there is an anſwerable Addition or Subduction of the Ex 
nents. | 
For, as in the Terms of the Geometrical Progreſſipn, 4, M 
tiplyed by 8, makes 32. So in the Exponents or Arichmeri 
Progreſſion ; if to 2, the Exponent of 4, there be added x, the 
Exponent of 8, it makes 5 the Exponent of za the Produtt ; 
and as 32 divided by 8, gives 4 for the Quotient; ſa if 
1 Exponent of 32, we ſubſtract 3 the Exponent of 8, 
7 * the . of 4 the Quotiener. 
erms in {zeometrical Prog. I, 2, 4, 8,16, 32, 0. 
Terms in Arithm. Prog. or Expan. 9, I, 2, 3 4, 7 


411212 2 241 naten 
1 
2+3 5 72 


And the ſame holds if between any two of thoſe Terms, we 
\aterpoſe one or more Geometric mean Proportionals, and be- 
een their Exponent: as many Arirbmetick means, 


Fon. 


© | (2) ; 
1. For if between 4 and 8 (or between 2 and 16) we interpoſe 
2 a Geometric Mean 32, that is, 4 Va, and between 2 and 3 

| (or 1 and 4) An Arithmetick Mean 24 then as 4 V2 x 8 makes 

32 Va (a mean Proportional between 32 and 64) fo adding 

their Exponents 23 and 3 makes 5} an Arithmetick Mean be- 

tween and6, and Univerſally (whatever be the values of r, e,) 


VS IR» 5 4 5 6 
The Terms. 1. r. rr, rrr. r. r. 1. Ce. 
Exponents. ©. e. 2c." ze. 4. 5e. be, &c. 


J 5 8-4 5 
— nite & Veen y=r Ve 

So ze x ze = ge & are ge 5e. 
And ſo every where, and if for o, e, 2c, 3 e, Cr. 

We take (ſuppoſing e = 1) o, r, 2, 3, 4, C. then doth 
this Exponent always gives us the Number of Ratios or Dimen- 
ſions in the Terms to which it belongs, that is how often the 
Ratio is Mulciplied into ir ſelf continually to produce that 
Terin to which it belongs. 

de BOS es 
en an r. K. F. r. . &. 
1 9113 10, . 3. J. . J. . 


(as 3 in r. 6 in 15. and fo every where) or ſhews how many 
Fold the Proportion of r* to. is of r tor. That is, how | 
many Ratios of r to 1 makesr* to 1. viz." 6. to which the | 
Name of Logarichms fitly anſwers, which is derived from a 
Greek Word ſignifying Ihe Number of Proportions ſo cm- | 
ded.  - | | N 1 
Now this being the Foundation from whenee the invention 
of Logarithms is deduced. It was in the next place proper to 
take ſuch a Rank of Geometrical * as was moſt ac- 
commodate to our way of Notation of Numbers, where places 
are in a Decuple Order. viz. 11 


Terms. 1. 10. 100, 1000, 10000. 100000. 1000000. ce. 
Exp. @. 1. 2. 5. 65. Ve. 


0 


oth 


nen- 
the 


Now ſince o, is the Log. of 1, and i of 10, therefore al Logo 
rithms between 1 and 10, will be oy a Decimal 
that is, there will be o on the left hand the Point, 
the place of Units ; and fo beets the ae r . the Log 
to is 1, and of 100, 2. 

10 and 100. will have f̃ in the mores al of Ny and a Deion 
Fraction annexed ; all Numbers berwgen 100 and 1000 will 
have 2 in the Place of Units, and a Decimal annexed ; berween 
_ 10000. 3 in the place of Units and a Decimal an- 
nex c. , 

That Number which ftands i in the Place of Units is called 
the CharaQeriſtic, and ſerves to ſhew the Number of Places of 
that Number of which it is a Logarithm, vix. One more than. 


is expreſt by that digit of the Log. Reading I in the place of 


Units. 
So if o ſtand inthe place ef Units in the rithm, the Lo- 
garithm is the Logarithm of a Number chat conſiſts but of one 


place, viz. between 1 and 10. 

If r be the Characteriſtic of the Logarithm, it belongs to a 
Number between 10 and 100, vi. of two places. If 2 * the 
2 the Number hath 3 places, viz. between 100 and 
1000, Ce | 

Or which comes to the ſame thing, the Charadtriſtic gives | 
you the — of the higheſt place in the Number from Unity» 

or Examp 

385.Five ſtands in the place of Units, f in the 1ſt. from Unity, 


and therefore its Exponent is 1, 3 ſtands in the ad me from 
Unity, and therefore its n is 2. * 1 


(4) 


But ſince o is the Exponent or Logarithm of t, therefore 


all Fractions will have the Exponent of their Logarithm. 


Negative, ; 

As for inſtance of this Decimal Fraction, oog its Expo- 
nent or CharaQeriſtic ſhall be 3, which ſhews that the higheſt 
Figure here, is diſtant from the place of Units by 3, viz. on 
the right hand from Unity, as the dift. of the higheſt Fig. of 
this Number, 9500 would have been + 3. Therefore when the 
Characteriſtic is affirmative, *tis the Logarithm of a whole 
Number, or of a mixr Number. But when Negative, 'tis the 
Logarithm of a Fadien. . 

From what hath been ſaid you may eaſily perceive. the reaſon 
why the Addition of the Logarithms anſwers to the Multiplica- 
tion of the Numbers they are Logarithins of; and that the Sub- 
traction of Logarithms or Diff. of the Log. ſo found Anſwers 
n reſulting from the Diviſion of the Correſpondent 

mbers. 

The way of finding the intermediate Logarithms between 
1 and 10, between 10 and 1co, Cc. ſince tis ſhewed in ſeveral 
other Treatiſes, 1 ſhall omir, and will now proceed to ſhew you 
* to uſe the Table already made, whoſe uſe conſiſts of theſe 
2 Parts. 

1. A Number being given to find its Logarithm. 

b . A Logarithm being given to find its Correſpondent Num- 
£7775 

In the firſt Page of this Table is contained the Logarithms 
of all Numbers to 100 with their Charatteriſtics prefixt to 


them. 


Thus againſt the Number 39 is its Log. 1.59106, 
REY againſt 86 is its Log. 1.934498 


The left hand Column of each following Page contains Num- 
bers increaſing in their Natural Order from 100 to 999, and in 
the next Column to it, having v on the Head, and againſt any 
Num. between thoſe limits is the Decimal Part of the Logarithm 
i e to which you muſt annex irs proper Index. 

For inſtance, ſuppoſe I would find the Logarithm of 765. 
4,look for 765 in che left hand Column, and againſt it in 2 


« 
RES. Ls a a ce. LEES 


* 


mwwoy 


4h 


O18 ane 


2 = 


CY 


T 


8 8 


650 


we 2. and jr dera 27036 . t | | 


a W. e 2.100370 
Thus the Logarithms of <'5 20 Saren 2.716003 
£172 (2.235528 


The other 5Colums of each Page contains the Loga arithms of 
all Numbers from 1000 to. 99 *" Thoſe on the left hand Page, 
are diſtinguiſhed on the top with the Figures o, 1, 2, 3, 4- thele 
on the right hand with 5, 6, % > 9. 

To find the Logarithm of a Number conſiſting of 4 places; 
as ſuppoſe 3759, | look for the 3 firſt Figures under Num. j 

the left ba I and. for the laſt at the Top: Then in 
that Column under the laſt Fig. end age inſt the 3 firſt Figures 
in the left hand Column is the Decimal of the Log. Mz. 573072. 
To which preſixing irs proper Index 3, it becomes, 3.57307 | 


375.9 2.573072 
| 37-59 1.573072 

And thus the Log. of ;.759 >is<Q0.573072 1 
| -3759 \ 1.573072 


03759 2.573072 


Now Since o is the Logarithm of 1, the Logarithm of all Fra- 
Qtions muſt be Negative, but may be expreſt after two different 
ways, either ſo, as that the Note of Negation may affect the whole 
Logarithm, or only the Characteriſtic, leaving the Decimal 
part of the Logarithm to be underſtood as affirmative. F 

For Example I or which is Equivalent o. 375 this Fraction 
ſuppoſes the Numerator 3 to be divided by the Denomina- 


tor 8, which in Logrrithms is Log. 3. 0.4771213 
to be gerform'd by Subtracting Log. 8. 0.90 30699 
the Log. of 8. from that of 3 Log: — 0.42 59689 


and the Remainder will be the Logarithm of 3} which will 
then be the Negative Quantity — 04259687 

or according to the former od the Log. of; =0:378 
is —1. 57403 12. Where the ve only is Negative, and "= 


(6) 


en Affirmative. Now though theſe two ſcem dl 


. 0000009 
o. 5740312 + 
is = — 0. 4259687. 
Now if a Logarithm be given, and 'tis requir'd to find the 
Abſolute " Ser. piomid e 6 onging. e 


IT The CharaQeriſtic ſerves only to ſhew you of how many Pla- 
e 1 Sek eee ET ENS 
ule. 


Reje& the Charafteriſtic, and look for the Decimal Part in 


the Table, which if you find it not exact, take rhe neareſt, a 
the Number anſwering to that Decimal Part is the Number re- 
quired. Only let this be obſerved that you take only ſo many 
places of this Number ſo found from the left hand, as is one 
more tlian the Index or CharaQteriſtic of your Logarithm. Thoſe 
Figures (if any be) that remain are Decimal Parts. 


3-072617 % ( 1182 

. J 2.072617) ic 118.2 

Thus Number anſweriog to the Log. 1.072617 11.82 
0.072617 I.182 


Of the Uſe of the Table of Logarithms, Sinu, Tangents, and 
boy Secants. 9 75 


1. Every Page is divided into 8 Columns, the firſt and Jaſt 
of which contains the Minutes of every Degree, and the other 
Six the 8 Sines, Tangents, and Secants, of thoſe De- 


grees and utes. ; 


be Iright hand Col. of esc r Oer f Min. at the Ff 


E —_ Si I 4 8 N. 
#\ 
-. 


Shins... at. *- am.” 


— K * — 
— OR 


Of che Tab. contains the Min.of thoſe Degrees J Nine $ chan 45 | 


* 


a - = 
2 * ms A. 3 n 
* 


Mrs "is ** 0 IE 
— * 


tt: 
And increaſe in their J REN J be o to. ce Mate. 


IT To find the Sine, Tangent and Secant, of any Degree ang 
Nimute given. | $238 


Rule. 


„If the Degrees be$ Les Þ chan 45 Deg: they are foung in 
* „ . 

thoſe Columns which have the words Sine, Tangent, Secant. 
at che 3 Foot 8 f the Table. 


Suppoſe the Sine, Tangent and Secant of 7 Degrees, 29 Mi- 

nutes Were required. 3 3 
Lock for Degrees on the top of the Table, and 

Column of the left hand Page you'l find 29 under Min. againſt 

whichand under Sine, you'lfind 9.114737. Under Tangent you'l 

find 9.118452. Under Secant you'l find 10.003715. Which are 

the Log. Sine, Tangent, and Secant, Required. | 

' And a Sine, Tangent, or Secant, being given to find the De- 
ecs and Minutes belonging to it is but the Reverſe, and there- 

fore 1 ſhall forbear any farther inſtances. 

It remains now that ] ſhew you how from the Logarithm Sine, 
Tangent, Secant ; to find the natural Sine, Tangent, and Secant. 
The Index to the Radiusof the Table of Logarithms, Sines, 
Ce. is 10, and conſequently the Natural Number anſwering to 

it is of 11 places, viz. 10000000000, If this Radius and all the 
Natural Sines, c. to this Radius were divided by a Million, 
or which is the ſame ſix places cut off, the Radius will become 
10000. and the Figures remaining in the Sines, Tangents, &. 
ſhall be Sines, Tangents, Cc. to the Radius 10000, wiz. ſo far 
as this Table of Logarithms goes, which will be effected in this 
Table of Logarithms, Sines, Cc. by ſubtracting always 6 fro 
the Exponent, and then the Remainder will be Logarithm « 
Natural Number expreſſing the Sine, Tangent, 


Secant t. 


as Radius 10000, which may be found by che Table of Log 
rithm. | 


. 


"Ov * a 
* 


iy - 


* —_ 
, * 
n 


* 


* 
1 


4 . N bs”, 2 YM dS. 


| For go the Sine, 2 agent « and Seca 
Ts © nt of 
2 and Secant to the 82 . b _ 


if les s. | Lag, une | Log, Secan 
if! ee 1 | 9.5 $84980. 10.100533 
4 | eee hu the Exponent. 
1 | 
| 1 . Na. Tangent. Nit Scan 
„ 76753 12600 
| | Ofſuch parts of which the Radius contains 30000. 


0 "Pw 
I! {a 14 I ; , 
*© 4 1 a | 
- 4 
vo y o 


(ney become > thas 
3. 784447- 3-334980. 4 1009 


1 look'd for in the Table, the Natural N um- 
Wm, 1 


: Ars er 


1 5 + 
»I ws ww? £00 


