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TRACT 26.

MEAN DENSITY OF THE EARTH.

6. For the sum of the sines below o in the N.E. quarter.

Rings

Radii.

Sura ofPerps.

3-2 =Sum ofTangs.

1

2

3

4 5

6

7

8

9 10

11

12

Sum ofDiffs.

6

3667

180

0049

7

4333

11(50

268

•

8

5000

2t)80

596

*

9

5667

5210

919

1

1

1

1 1

5

10

63o3

7300

1T53

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

13080

1-570

1

1

1

1 2

2

1

1

1 1

1

1

14

14

9000

13290

1-477

1

1

1

1 1

1

1

1

1 1

1

1

12

15

^667

12670

1-311

1

1

1

1

1

1

1

1 1

1

1

11

If)

10333

12160

1-177

.

1

1 .

1

1

. 1

1

6'

17

11000

11850

1-077

1

.

1

1

1 .

1

1

6

12-441’

z: sum

Df the tangents

•085

■085

zi sum

of the differences.

12-356

— 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

1

333]-

1445

4-335

51

51

47

43 40

35 27

21

17 10

2

•344

2

IOOO

3460

3-460

28

27

26

25 19

17

13

9

6 5

2

1 77

3

K)(57

5370

3-222

21

19

17

15 13

IS

16

6

5 4

2

136

4

2833

6650

2-850

15

14

13

12 10

8

8

5

5 3

2

95

5

3000

7640

2-547

9

9

9

8 6

6

5

4

3 3

2

04

6

3607

8200

2'253

5

5

5

5 5

5

5

3

3 2

1

44

7

4333

8260

14J06

2

2

2

2 3

3

3

3

2 2

1

25

8

5000

7840

1-508

1

1

1

1 1

1

1

1

2 2

2

1

15

9

5667

65 SO

i-i6'i

1

1

1

1 1

1

1

1

1 1

1

11

10

0333

5680

897

1

1

1 1

1

5

11

7000

4450

63 6

1 .

.

1

•

•

1

3

12

7607

3i6'0

412

1

.

1

2

13

8333

2190

263

1

14

9000

1250

139

‘

15

9067

570

39

•

1(5

10333

210

20 .

25-/28

zz sum

of the tangents.

•922

0-92?

zz sum

of the differences.

24-806

= sum

of the sines.

--—-

*’ • •

---

—