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CALCULATIONS TO ASCERTAIN THE

TRACT 26

5S

13. For the sum of the sines below p in the N.w. quarter.

Rings

Radii.

Sum ofDeps.

Sum ofTangs.

1

2

3

4

5

6

7

8

9

10

11

12

Sum ofDiffs.

i

333 \

790

2-370

13

12

9

8

7

5

5

3

2

1

1

•066

2

1000

3170

3-170

26

25

21

17

14

12

9

6

5

3

2

140

, 3

166/

49SO

2-988

15

14

13

12

12

11

9

8

7

5

2

108

4

2333

6200

2-657

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

61

6

3 667

7800

2-127

7

6

5

5

4

3

3

3

2

1

1

40

7

4333

7975

1-840

5

4

4

Ci

3

2

2

1

l

1

1

27

8

5000

8280

1-656

3.

3

O

2

0

1

1

1

1

1

.

17

9

5667

8660

1-528

2

1

2

1

0

1

1

1

1

1

1

14

10

6333

8935

1-411

1

1

1

1

1

1

1

1

1

1

1

11

11

7000

9580

l-36g

1

1

1

1

1

1

1

1

1

9

12

7667

102 SO

1-341

1

1

1

1

1

1

1

1

1

9

13

8333

1 1200

1-344

1

1

1

1

1

1

1

1

1

l

10

20-224

rz

sum

of the tangents.

•587

0-587

—

sum

of the differences

25-637

sum

of the sines.

14.

For the sum of the sines below

p in

the N.

E.

quarter.

I

1

2

3

4

5

6

7

8

9

10

ii

12

1

333}

625

1-875

7

5

5

4

3

0

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

4S55

2-913

15

14

13

12

11

10

9

8

6

4

2

•

104

4

2333

7000

3-000

11

12

13

13

13

13

1 1

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

.

9.9

7

4333

10350

2-389

5

5

5

4

4

4

5

5

5

4

0

1

49

8

5000

11840

2-368

3

2

2

2

2

1

2

3

3

3

3

1

27

9

5667

84 00

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

ii

7000

7930

1-133

1

•

1

.

1

•

1

.

•

1

1

1

7

12

7667

8810

1-149

1

1

•

1

•

1

1

•

1

j

1

8

13

8333

898O

1-078

.

1

.

1

1

•

1

•

1

1

1

7

26-790

=

sum

of the tangents.

•629

1

•629

“

sum

of the differences

■41-101

=

sum

of the sines.