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58

CALCULATIONS TO ASCERTAIN THE

TRACT 26 .

13. For the sum of the sines below P in the N.W. quarter.

Rings

Radii.

Sum ofDeps.

3~r2 m

Sum ofTangs.

1

2

3

4

5

6

7

8

9

10

11

12

Sum ofDiffs.

i

333 i

790

2-3/0

13

12

9

8

7

5

5

3

2

1

1

066

2

1000

3170

3-170

2d

25

21

17

14

12

9

6

5

3

2

140

3

166/

498O

2-988

15

14

13

12

12

11

9

8

7

5

2

108

4

2333

6200

£667

10

10

9

9

8

7

6

5

5

4

2

75

5

3000

7270

2-423

10

10

8

7

6

5

5

4

3

2

1

6l

6

366/

7800

2-127

7

6

5

5

4

3

3

3

2

1

1

40

7

4333

7975

1-840

5

4

4

3

3

2

2

1

l

1

1

2 7

8

5000

8280

1-656

3

3

2

2

J>

1

1

1

1

l

17

9

5667

8660

1-528

2

1

2

1

2

1

1

1

1

1

1

14

10

6333

8935

1-411

1

1

i

1

1

1

1

1

1

1

1

11

11

7000

9580

1-369

1

1

.

1

i

1

1

1

1

1

9

12

7667

10280

1-341

1

*

1

1

1

1

1

1

1

1

9

13

8333

11200

1-344

1

1

1

1

1

1

1

1

1

1

10

20-224

sum

of the tangents.

587

0-587

rz:

sum

of the differences

25-037

=

sum

of the

sines.

14.

For the sum of the sines below p in the N.E. quarter.

/

1

2

3

4

5

6

7

8

9

10

11

12

1

333}

625

1-875

7

5

5

4

3

2

2

1

1

1

1

032

2

1000

2755

2-755

17

16

15

13

11

9

6

5

3

2

1

98

3

1667

4855

2-giS

15

14

13

12

j 1

10

9

8

6

4

2

104

4

2333'

7000

3000

n

12

13

13

13

13

u

9

6

4

2

107

5

3000

8500

2-833

11

11

11

11

11

10

10

9

7

5

2

98

6'

3667

9580

2-613

6

7

7

8

8

8

8

6

5

4

2

6.9

7

4333

10350

2-389

5

5

5

4

4

4

5

5

5

4

2

1

49

8

5000

11840

2-368

3

2

2

2

2

1

2

3

3

3

3

1

27

9

5667

8400

1-482

1

1

1

1

1

1

1

2

2

2

1

14

10

6333

7610

1-202

1

1

1

.

1

1

1

1

1

1

9

li

7000

7930

1-133

1

*

1

1

1

1

1

1

7

12

7667

8810

1-149

1

.

1

.

1

1

1

1

1

1

8

13

8333

8980

1-078

1

1

1

1

1

1

1

7

26-790

sum

of the tangents.

day

629

sum

of the differences

i0-101

=

sum

of the sines.

- -