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TRACT 26.

MEAN DENSITY OF THE EARTH.

53

1. For the sum of the sines of alt. above 0 in the N.w. quarter.

Rings

Radii.

Sum ofPerps.

3-f 2=Sum ofTangs.

1

2

3

4

5 67

.8 9

10

11

12

Sum ofDiffs. ?

i

333i

2175

6-525

103

103

103

103

97 97 86 75 55

36 20

5

8831

2

1000

6265

6-265

88

go

88

85

84 82 78 "75 56 40

20

4

790

3

1667

10045

6-027

79

86

87

87

88 97 93

64 48

21

7

1

758

4

2333

9300

3-986

12

12

13

17

23 27 39 43 45

16

4

.

- 251

5

3000

7275

2-425

1

1

2

3 6 11

16 27

13

3

83

6

3667

4695

1-280

.

1 J

3 7

9

2

23

7

4333

2735

0-631

c

,

* .

1 1

3

1

6

8

5000

1625

0-325

1

1

4

2 K

9

5667

670

0-118

, ,

10

6333

60

0-009

i

27-591

= sum of tangents.

Sum. of diffs.

2-795

2.796

~ sum of the diffs.

24-795

sum of the

sines of alt. above 0 in the n.w. quar-

ter.

2. For the sum of the sines above 0 in the N.E. quarter.

1

1

2

4

5 6' 7

8 9

10

11

12

1

333-J-

1965

5-395

97

92

92

87

80 71 56 43 33

21

15

5

695

2

1000

5360

5-360

68

67

65

62

59 56 53

43 35

23

9

1

541

3

1667

82/5

4-g65

66

53

51

.49

47 41 36'

31 25

20

13

1

433

4

2333

7555

3-238

IO

IO

IO

xo

10 11 12

14 15

13

8

1

124

5

3000

4410

1-470

.

111

2 2

2

4

t

13

6

36 67

1937.

528

1

1

2

7

4333

580

134

8

5000

50

010

21-600

= sum of the tangents.

,

1-808

1-808

sum of the differences.

19-792

sum of the

sines.