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Vol. II.
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tract 26,

MEAN DENSITY OF THE EARTH ,

55

6 . For the sum of the sines below o in the n.e. quarter.

Rings! Radii ,

1

Sum oiPerps.

l O 0 —•3 — —

Sum 0 :Tangs.

1

2

3

4

5

6

7

8

9

10 11

12

Sum ofDiffs.

6

3667

180

0049

7

4333

1160

26 8

•

8

5000

2.980

506

•

9

5667

5210

919

1

1

1

1

1

5

10

6333

7300

1-153

1

1

1

1

1

1

.

• *

6

11

7000

94^,0

1-349

1

2

2

2

1

1

1

.

. .

10

12

7667

11460

1-495

2

2

2

2

2

1

1

1

.

1 1

15

13

8333

130S0

1-570

1

1

1

1

2

2

l

1

1

1 1

1

14

14

0000

132Q0

1-477

1

1

1

1

1

1

1

1

i

1 1

1

12

15

9667

12670

1-311

1

1

1

1

1

l

1

1

1 1

1

11

16

10333

12160

1-177

1

,

1

1

.

1

1 .

1

6

17

11000

11850

1-077

1

1

.

1

i

1

1

6

12-441

— sum of the tangents

•085

•085

= sum of the differences.

12356:

3 sum of the sines

7-

For the sum of the sines below 0

in

the s.w

. quarter.

|

1

2

3

4

5

6

7

8

9

10 11

12

l

333->-

1445

4-335

51

51

47

43

40

35

2 7

2t

17

10 2

.

•344

2

lOOO

3460

3-460

28

27

26 25

19

17

13

9

6

5 2

177

3

1667

5370

3-222

21

19

17

15

13

IS

16

6

5

4 2

.

136

4

2333

6650

2-850

1.5

14

13

12

10

8

8

.5

5

3 2

,

95

5

3000

764 0

2-547

9

9

9

8

6

6

5

4

3

3 2

.

64

6

3 667

8260

2-253

0

5

5

5

5

5

O

3

3

2 1

.

44

7

4333

8260

1-906

2

2

2

2

3

3

3

3

2

2 1

,

25

8

5000

7840

1-568

1

1

1

1

1

1

1

1

2

2 2

1

15

9

5667

6580

1-161

1

1

1

1

1

1

1

1

1

1 1

11

10

6333

5680

697

1

,

,

1

1

1 1

5

n

7000

4450

656

1

.

1

» ,

1

3

12

7607

3160

412

,

,

,

,

1

,

#

.

1

2

13

8333

2190

263

1

14

gooo

1250

139

.

15

9667

570

59

.

16

10333

210

20

.

25-728 :

= sum of the tangents.

•922

0-022 :

a: sum of the differences.

24-806 =

= sum of the sines.

■' 1 ■■) —