56
CALCULATIONS TO ASCERTAIN THE
TRACT 26.
8. For the sum of the sines below o in the s.e. quarter.
Ring
s Radii.
Sum 0Deps.
fj 3 ,- 2 =
S':rn 0Tangs
12 3
4 5
6 7
8
9
10 11
12
Sum ofDiffs.
1
333y
1510
4-530
51 51 47 43 40 35 27 21
17
13 11
1
•357
2
XOOO
4120
4-120
28 28 28 28 28 27 25
21
17
13 8
1
252
3
166;
6510
3'g06
21 21 21 21 21 21 21
19
16
13’ 9
1
205
4
2333
8070
3-459
16 16 15 15 15 15 14 14
13
10 6
1
150
5
3000
8990
2-997
9 9 9
9 9
9 9
9
9
8 5
1
95
6
3667
9 280
2-531
5 5 5
5 5
5 5
5
6
6 4
1
57
7
4333
8440
1-948
2 2 2
2 2
2 2
2
3
4 3
1
27
8
5000
7490
1-498
111
1 1
1 1
1
1
2 2
1
14
9
5667
6630
1-170
. . 1
. 1
,
1
1 1
1
6
10
6333
6070
958
. . 1
1 .
1
. 1
1
5
11
7000
5110
730
« • •
1 .
. ,
1
1 1
1
5
12
7667
4210
549
I .
.
1 .
1
3
13
8333
3540
425
. .
1
. 1
1
3
14
9000
3370
374
• •
. •
1
. 1
1
3 ■
15
9667
3020
313
• •
• - .
1 .
1
2
16
10333
2680
259
• • •
•
. 1
1
2
1 7
11000
2310
210
• •
•
* •
1
1
18
11667
1975
169
• •
•
•
» •
1
1
19
12333
1730
140
.
»
•
•
1
1 .
20 1
13000
1520
117 1
* • *
-
1
1
30-403 :
r sum of the tangents.
1
1-190
1-190:
- sum of the differences.
1
29-213 :
r sum of the sines.
o. For the sum of the sines
above p
10. For the
sum
of the sines above p
in the N. w. quarter.
in the n. e.
quarter
4
2333
10
•004
1
3334
10
•030
5
3CO0 .
15
5
2
1000
10
10
6
36 67
15
4
3
1667
15
9
7
4333
15
3
4
2333
60
26
8
5000
15
3
5
3000
40
13
3-019 =
sum of
6
3667
5
2
the tangents, or sum of the sines, as
0-090 :
— sum of
they have no difference in this qua-
the tangents,
or sum
of the sines, they
drant.
being equal in this quadrant.