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Vol. II.
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TRACT 26.

MEAN DENSITY OF THE EARTH.

59

15. For the sum of the sines below r in the s.\v. quarter.

Rings

Radii.

Sum ofDeps.

3 -f 2 —Sum ofTangs.

1

2 3 4> 5 6

7

8 9

10

11

12

Sum ofDiffs.

9

5 667

620

051

.

0

.

10

6333

1730

273

. 1 . . .

•

•001

11

7000

3030

433

1

. . • « •

1

.

2

12

7667

4470

5S3

1 . . . .

1

2

13

8333

4660

559

. . 1 . .

.

2

14

9000

3720

414

. . 1 . .

•

1

2

15

9667

2390

247

.

l

•

1

16

10333

U 60

141

. • • • •

.

1

17

11000

800

73

• • » • •

.

18

116 ' 6'7

130

11

•

2785 a

z sum of the tangents.

•011

•Oil =

z sum of the differences.

2774 :

z sum of the sines.

16 . For the sum of the sines below p in

the s.E. quarter.

1

2 3 4 5 6

7 8 9

10

11

12

7

4333

SO

• 01 s

0

8

5000

290

58

.

m

.

.

9

5667

1810

319

•001

10

6333

3280

518

• 1 . . .

1 .

0

,

2

a

7000

4640

66.1

1 ... 1

•

,

1

3

12

7667

5590

729

. 1 . . 1

.

1

3

13

8333

5830

700

. . 1 . .

1 .

1

3

14

9000

5700

633

. . 1 . .

.. 1

#

1

•

3

15

9667

5240

542

1 .

1

.

1

3

Vi

10333

4560

441

. 1

#

1

2

17

11000

3920

356'

_

1

1

2

18

116 ' 6'7

3180

273

.

1

1

19

12333

2630

213

1

,

1

2°

13000

2230

172

1

.

1

5-035 =

z sum of the tangents.

■025

•025 =

z sum of the differences.

5 -610 =

z sum of the sines.