TRACT 26,

MEAN DENSITY OF THE EARTH.

57

11. For the sum of the sines above p in the s.w. quarter.

Rings

Radii.

Sum ofAlts.

3-4-2=Sum ofTangs.

1

2 3 4 5 6

7

8

9

10

11 12

Sum ofDiffs.

i

333J-

1110

3-330

17

17 15 15 13 13

12

12

10

8

6 1

•139

2

1000

3150

3-150

18

17 16 14 13 12

11

10

6

5

2 1

125

3

1607

6/80

4-068

28

28 2S 28 28 27 23

20

IS

14

5 1

248

4

2333

10930

4-684

37 38 39 40 41 42

38

34 26

18

7 1

36'1

5

3000

13740

4-580

18

23 34 33 38 39 37 34

33

26

14 2

331

0

3(>07

11240

3-065

3

5 5 6 6 7

14

16

19 21

14 2

118

7

4333

7230

1-668

,

. 1111

1

2

2

4

5 2

20

8

5000

3goo

780

.

1

.

1

1

1 1

5

9

5667

15 6'0

275

1

10

6333

440

- 70

,

15

0 667

310

32

.

l6’

10333

640

-62

.

17

11000

.970

88

1

18

1166 ;

1590

13 7

1

19

12333

2480

201

1

20

13000

3130

241

1

. 1

2

26-431

sum of the tangents.

1-353

•

1-353

— sum of the differences.

25-078

— sum of the sines.

12. For the sum of the sines above P in

the s.E, quarter.

1

2 3 4 5 6

7 .

8

9

10

11 12

1

333J-

1110

3-330

17

17 15 15 13 13

12

12

10

8

6 1

•139

2

1000

3150

3-150

18

17 16 14 13 12

11

10

6

5

2 1

125

3

1667

58yo

3-534

28

26 23 21 18 16

14

12

9

5

2 1

175

4

2333

8420

3-609

34

33 30 26 24 18

15

12

6

4

1 .

203

5

3000

9440

3-147

18

18 18 18 18 18

16

9

3

2

1 .

13C)

6

3667

826'0

2-253

3

4 5 5 5 6

8

7

4

3

1 .

51

7

4333

5530

1-276

. 1.11

2

3

3

1

12

8

5000

2280

456

1

1

1

3

9

5667

1060

1S7

1

1

10

6333

370

58

18

ll66'7

150

13

19

12333

510

42

20

13000

700

54

21-109

~ sum of the tangents

0848

0846

— sum of the differences.

20-261

zr sum of the sines.