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Vol. IV.
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779
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TRIGONOMETRY

779

TABLE II.

( '-00000.(]

6.46372.62 6.76475 6“6.94084.7? 7-00578.6

f 7-16269.6 95 7.241877-30882.4 9

7.30681.67'41796.87.40372.0

Logarithmic Sines, Tangents , and Secants.0 Degree.

Sine. Co-sine. Secant. Co sec. i'angent. Co-tang. M

10-0000010-0000010-0000010-000009-99099-999999-99-99999-9-99999-90-99999-919999-99-99999-8

7.8001 1.8

7.54290.67-57766.8

6098

7.63981.6•66784 5

7.69417.37-7i899.7■o 7-74247020 7-76475.4

14 7.1

15

17

18I 9 7.74

9'99099-H9-999991-99999-73 9-99999-6l-99999'O9-99999-59-999999-909998 9-99999 39-99999-3

1 7.7S594.7.80614.6

7.82545.1

7.84393.4

7.86166.2 9

7.87869.5

7.89508.5

7.91087.9

7.92611.9

7.94084.2

3 9-99999-29-999999-9999.0-09-9999S-999998 99-99998-89-999989-99998-69-99998 -59-99998-3

7.9550S.7.968S7.

98223.7.99519.8.00778.3 6 8 . 02002 .

8.031913 « 8.04350.

3 9 8.05478.

4 0 8.06577,

41

424d

44

45

46 s4?

48 s

49

50

8.07650.8.03696..--8.09718.3 98.107168.11692126478.135818.14495.

'■ 15390.7s -16268.

8-17128.8-17971..8 -18798.5T* 8 -19610.8.20407.

8-21 iso8-21958.8-22713.48.23455.7

8-24185.5

sme.

10.0000010.00000i 0.0000010.0000010.0000010.0000010.0000010.0000010.0000010.0000010.00000

10.00000

10.00000

10.00000

10.00000

10.00000

10.00000

10.00001

10.00001

10.00001

10.00001

10.00001

10.00001

10.0000!

10.00001

10.00001

10.00001

10.00001

10.00001

10.00002

10.00002

2 9-99998-20 9-99998-1

3 9-99998-09-99997-99-99997-79-99997-6

9 9-99997-59-99997-39-99997-;.6 9-99997-

0 9-99996-Q9 99996-899996-6y 99996-46 9-99990-39-9999610 9-99995-93 9-99995-89-99995-69-99995-4

0 y-999953 9 - 99995-09-99994-89-99994-60 y-99994-49-9y994-29-99994-09-99993-89-99993-69-99993 4

Sine.

10.00002

10.00002

10.00002

10.00002

10.00002

10.00002

10.00003

10.00003

10.00003

10.00003.

Infinite.

13.5362713.2352413.0591.)12.9342112.8373012.7581212.6911812.6331312.58203

12.53627

12.494S 812.4570912.4223312 3g01512 3601812.3321612.3058312.2810012.2575212.23525

12,2140612.1938512.1745512.1560712.1383412.1213012.1049112.0891212.0738812.05916

12.0449212.0311312.0177712.0048011.9922111.9799811.968081 1.9565011.9452211.93422

10.0000310.0000310.0000310.0000410.0000410.0000410.0000410.0000410.0000410.0000,':

10.0000510.0000510.0000510.0000510.00006;10.0000610.0000610 000o(i10.00006rn.oooo

Co-sec.

11.9235011.9130411.9028211.8928311.8830711.8735311.8641911.8550511.8460911.83732

0.00000

6.463736.764766.940857.065797.162707.241887.308827.366827.41797

7.46373

7.50512

7.54291

7.57767

7.609S6

7763982

7.66785

7.69418

7.71900

7.74248

7.76476

7.78595

7.S0615

7.82546

7.S4394

7.S6167

7.87871

7.89510

7.91089

7.92613

7.94086

7.95510

7.96889

7.98225

7.99522

8.00781

8.02004

8.03194

8.04353

8.05481

8.06581

11.8287211.820291 1.8120'.

1 1.8039011.79593I 1.7881111.780421 1.7728711.7654411.75814

Secant.

8.076538-087008.097228.10720S.l 16968.12651S.135S58.145008.153g58.16273

Infinite.

13.5362713.2352413.0591512.9342!12.83730I2.75SI212.69118 r - 512.6331812.58203

12.53627

12.4948S12.4570912.4223312.3901412.3601812.3321512.3058212.2810012.2575212.23524

12.2140512.1938512.1745412.1560612.1383312.1212912.1049012.08911 32

12.07387

12.05914 30

12.0449012.0311 112.0(77512.0047811.9921911.9799611.9680611.9564711.9451911.93419

8.171338.17976S.18S048.196168.204138.211958.219648.227208.234628.24192

Co-tang.

31

11.9234711.9130011.902781 1.S92S011.883041 (.87,34911.8641511.8550011846051 1.83727

11.828671 1.8202411.8119611.8038411.7958711.7880511.7803611.7728011.7653811.75808

Tangent .

Logarithmic Sines, Tangents , and Secants.

1 Degree.

0 8.24185-5

1 8.24903-3

2 8.25609-4

3 8.26304-28.26988-18.27661-4

6 3.28324-38.28977-3S 8.29620-79 8 30254 610 8.30879 4

11 3.31495-4 9.99990-712S.32102-7 9.99990-513 8.32701-6 9.99990-214S.33292-4 9.999S9-9

15 8.33875-3 9.99989-

16 8.34450-4 9.99989-4

17 8.35018-1

18 8.35578-3198.36131-520 8.36677-7

89 1 degrees.

9.99993- 4

9.99993- 2

9.99992- 9

9.99992- 7

9.99992- 5

9.99992- 29.99992 0

9.99991- 8

9.99991- 5

9.99991- 39.999910

9.99989-1

9.99988- 8

9.99988- 59-99988-2

8.37217-13.37749 9 9

23 8.38276 2

24 8.38796-2

25 8.39310-1

26 8.39817-98.40319-98.40816-18.41306-88.41791-9

9.99987- 9.99987-6

9.99987- 3

9.99987- 0

9.99986- 7

9.99986- 4

9.99986- 19.99985-89.999SS-49.99985

8.42271-78.42746-2

33 8.43215

34 8.43680

35 3.44139-48.44594-

37 8.45044-0

38 8.45489-339S. 45930-140 8-46366-5

41 8.46798-5

42 8.47226-3 9,

43 8.47649-8

44 8.48069-3 9,8.48484-88.48896-3 98.49304-0 9,

48 8.49707-8

49 8.50108-0

50 8,50504-5

8.50897-8.51286-8.51672-

54 8.52055'

55 8.52434-8.52810-8.53182-

58 8.53552-S.53918-3.542S 1 •

M

Co sine.

9.99984- 8

9.99984- 46 9.99984-10 9-99983-8

9.999S3-41 9.99983 1

9.99982- 7

9.99982- 4

9.99982- 09.9998 1-e

9.99981-399980-99.99980-5.99980-19.99979-799979-4.99979-0

9.99978- 6

9.99978- 29.99977-8

9.99977-4

9.99976- 96 9 . 99976'5

9.99976- 13 9.99975-7

2 9.99975 3

8 9-99974-8

3 9.99974-46 9.99974-0

9 9.99973-5

Sine.

Secant.

Co-sec.

1 angent.

Co-tang.

M

10.00007

11.75814

8.24192

11.75808

60

10.00007

11.75097

8.24910

11.75090

59

10.00007

11.74391

8.25616

1 1.74384

58

10.00007

11.73696

8.26312

11.73688

57

10.00008

11.73012

8.26996

11-73004

56

10.00008

11.72339

8.27669

l 1.72331

55

10.00008

11.71676

8.28332

1 1.71668

54

10.00008

11.71023

8.28986

11.71014

53

10.00008

11.70379

8.29629

11.70371

52

10.00009

11.69745

8.30263

11.69737

51

10.00009

11.69121

8.308S8

11.69112

50

10.00009

11 68505

8.31505

11.68495

49

10-00010

11.67897

8.321 (2

1 1.67888

48

10.00010

11 67298

8.32711

11.67289

47

10.00010

11.66708

8.33302

11.66698

46

10.00010

11.66125

8.33886

11.66114

45

10.00011

11.65550

8.34461

11.65539

44

10.00011

11.64982

8.35029

11.64971

43

10.00011

11.64422

8.35590

11.64410

42

10.00011

11.32869

8.36143

11.63857

41

10.00012

11.63322

8.36689

11.63311

40

10.00012

11.62783

8.37229

11.62771

39

10.00012

11.62250

8.37762

11.62238

38

10.00013

11.61724

8.38289

11.617/1

37

10.00013

11.61204

8.3SS09

H.61191

36

10.00013

11.60690

8.39323

11.60677

35

10.00014

11.60182

8.39832

11.60168

34

10.00014

II.5968O

S.40334

11.59666

33

10.00014

11.59184

8.40830

11.59170

32

10.00015

11-58693

8 41321

1 1.58679

31

10.00015

11.58208

8.41807

11.58193

30

10.00015

11.57728

8.42287

11.57713

29

10.00016

11.57254

8.42762

11.57238

28

10.00016

11.56784

8.43232

11.56768

27

10.00016

11.56320

8.43696

11.56304

26

10 00017

11.55861

8.44156

11.55844

25

10.00017

11.55406

8.44611

11.55389

24

10.00017

11.54956

8.45061

11.54939

23

10.00018

11.54511

8.45507

11.54493

22

10.00018

11.54070

8.45948

11.54052

21

10.00018

11.53634

8.46385

11.53615

20

10.00019

11.53201

8.46817

1 1.53183

19

10.00019

11.52774

8.47245

11.52755

18

10.00019

11.52350

8.47669

11.52331

17

10.00020

11.51931

8.48089

11.51911

16

10.00020

11.51515

8.48505

11.51495

10.00021

H.51104

8.48917

11.51083

14

10.00021

11.50696

8.49325

11.50675

13

10.00021

11.50292

8.49729

11.50271

12

10.00022

1 1.49892

8.50130

11.49870

L]

10.00022

11 49496

8 50527

11.49473

10

10.00023

11.49103

8 50920

11.49080

o

10.00023

11.48713

8.51310

1 1.48690

$

10.00023

11.48327

8.5 1696

11.48304

10.00024

11.47945

8.52079

11.47921

6

10.00024

i 1.47566

8.52459

11.47541

10.00025

11.47190

8-52835

11.47165

10.00025

11.46817

8.53208

11.46792

3

10.0002b

11.46448

8.53578

11.46422

0

10.00026

11.46081

8.53945

11.46055

1

10.00026

11.45718

8.54308

1 1.45692

0

—

- -

--

_

_

Co-sec.

Secant.

Co-tang.

j Tangent .

\J

88 Degrees.

1