TRACT 26.
MEAN DENSITY OF THE EARTH.
53
I. For the sum of the sines of alt. above 0 in the n.w. quarter.
Rings
Radii.
Sum 0 !Perps.
■ 3-|-2=Sum olTangs.
1 2 3 4 5 6 7 8 9 10 11 12
Sum ofDiffs.;
i
333*
2175
6-525
103 103 103 103 97 97 86 75 55 36 20 5
•883 1
2
.1000
6265
6-265
88 00 88 85 84 82 7 8 75 56 40 20 4
790 \
3
1607
10045
6-027
79 86 87 87 88 97 93 64 48 21 7 1
7 58'
4
2333
0300
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
40()5
1-280
. . . .113792.
23
7
4333
2735
0-631
.113 1 .
6
8
5000
1625
0-325
2
9
506;
670
0-118
* ,
10
6333
60
0-009
• |
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.
i
1 2 3 4 5 6 7 8 9 10 11 12
1
333i
1965
5-8 95
97 92 92 87 80 71 56 43 33 24 15 5
•695
2
1000
5360
5-360
68 67 6'5 62 59 56 53 43 35 23 9 1
541
3
1667
b2J5
4 '96 5
66 53 51 49 47 41 36 31 25 20 13 1
433
4
2333
7555
3-238
10 10 10 10 10 11 12 14 15 13 8 1
124
5
3000
4410
1-470
1 1 1 2 2 2 4.
13
6
3667
1937
•52S
2
7
4333
580
•134
,
8
5000
50
•010
21-000
= sum of the tangents. j
1-808
1-808
= sum of the differences.
19-792
= sum of the sines.