GANNETT.] 
GEOGRAPHIC TABLES AND FORMULAS. 
267 
APPKOXIMATE SPHERICAL EXCESS. 
This may be obtained by dividiii*;" the area of the triangle in square 
miles by 75.5. 
Table 24. — 3rean rr fraction. 
ate 
00 
10 
10 
20 
30 
40 
50 
3^0 
10 
20 
30 
40 
50 
40 
10 
20 
30 
40 
50 
50 
10 
20 
30 
40 
50 
60 
Refraction. 
34 54.1 
32 49.2 
30 52.3 
29 3.5 
27 22.7 
25 49.8 
24 24.6 
23 6.7 
21 55.6 
20 50.9 
19 51.9 
18 58.0 
18 8.6 
17 23.0 
16 40.7 
16 0.9 
15 23.4 
14 47.8 
14 14.6 
13 43.7 
13 15.0 
12 48.3 
12 23.7 
12 0.7 
11 38.9 
11 18.3 
10 58.6 
10 39.6 
10 21.2 
10 3.3 
46.^ 
9 30.9 
9 16.0 
9 1.9 
8 48.4 
8 35.6 
23.3 
8 11.6 
8 0.3 
7 49.5 
7 39.2 
7 29.2 
7 19.7 
124.9 
116.9 
108.8 
100.8 
92.9 
85.2 
77.9 
71.1 
64.7 
59.0 
53.9 
49.4 
45.6 
42.3 
39.8 
37.5 
35.6 
33.2 
30.9 
28.7 
26.7 
24.6 
23.0 
21.8 
20.6 
19.7 
19.0 
18.4 
17.9 
16.8 
15.6 
14.9 
14,1 
13.5 
12.8 
12.3 
11.7 
11.3 
10.8 
10.3 
10.0 
9.5 
70 
80 
90 
10 
110 
12 
10 
20 
30 
40 
50 
13 
10 
20 
30 
40 
50 
14 
Refraction. 
7 19.7 
7 10.5 
7 1.7 
6 53.3 
6 45.1 
6^37^2 
6 29.6" 
6 22.3 
6 15.2 
6 8.4 
6 1.8 
5J5^ 
5 4'9.3 
5 43.3 
5 37.6 
5 32.0 
5 26.5 
5 21.3 
5 16.2 
5 11.2 
5 6.4 
5 1.7 
4 57.2 
4 52.8 
4 48.5 
4 44.3 
4 40.2 
4 36.3 
4 32.4 
4 28.7 
4 25.0 
4 21.4 
4 18.0 
4 14.6 
4 11.3 
4 8.1 
4 4.9 
4"i:8 
3 58.8 
3 55.9 
3 53.0 
3 50.2 
3 47.4 
14 
20 
^0 
15 
20 
_40 
16^0 
20 
40 
17 
20 
40 
18 
19 
20 
40^ 
20^0 
20 
40s 
210 
20 
40 
22 
Rcf ruction. 
3 47.4 
3 42.1 
3 37.0 
3 32.1 
3 27.4 
3 22.9 
3 18.6 
3 14.5 
3 10.5 
3 ^6 
3 2.9 
2 59.3 
2 55.8 
2 52.5 
2 49.3 
2 46.1 
2 43.1 
2 40.2 
2 37.3 
2 34.5 
2 31.9 
2 29.3 
2 26.8 
2 24.3 
2 21.9 
2 19.6 
2 17.4 
230 12 15.2 
20 
40 
2 13.0 
2 10.9 
24 
25 
20 
40 
"26 
27J) 
20 
40 
28 
2 8.9 
7.0 
5.1 
2 3.2 
2 1.4 
159.6 
1 57.8 
156.1 
1 54.4 
lj52.8^ 
1 51.2 
1 49.7 
1 48.2 
§3 
28 
20 
40 
29 
30 
20 
40 
31 
20 
40 
32 
20 
40 
33 
34 
20 
40 
350 
20 
40 
36 
20" 
JO 
37 
38 
39 
20 
40 
40 
41 
20 
_40 
42 
Refraction 
148.2 
146.7 
1 45.3 
1 43.8 
142.4 
141.0 
1 39.7 
1 38.4 
1 37.1 
1 35.8 
134.5 
133.3 
132J^ 
130.9 
129.8 
1J8^ 
1 27.6 
126.5 
1 25.4 
1 24.3 
1 23.3 
1 22.3 
121.3 
1 20.3 
1 19^3 
118. 3 
117.4 
116.5 
1 15.6 
1 14.7 
1 13.8 
1 12.9 
1 12.0 
1 11.2 
10.3 
9.5 
1 8. 
7.9 
7.1 
1 6.3 
1 5.5 
l_4/7^ 
1 4.0 
Refrac- 
tion. 
<'^^ 
o 
II 
II 
42 
64.0 
90 
43 
61.8 
2.1 
2 
44 
59.7 
45 
57.7 
2.0 
1.9 
1.9 
46 
55.7 
47 
53.8 
48 
51.9 
49 
50.2 
i.V 
1.8 
50 
48,4 
— 
■46T 
1.7 
52 
45.1 
i.6 
53 
43,5 
l.C 
"54 
41.9 
;■' 
55 
40,4 
1.5 
56 
38 9 
Lb 
57 
37.5 
1.4 
58 
36.1 
1.4 
59 
34.7 
1.4 
1.4 
60 
33.3 
1 3 
61 
32.0 
62 
30.7 
1.3 
63 
29.4 
1.3 
64 
28.2" 
1.2 
65 
26.9 
1.3 
(SQ 
25 7 
1.2 
67 
24.5 
1.2 
L2 
1.1 
68 
23.3 
69 
22.2 
1.2 
/O 
21.0 
1.1 
LI 
71 
TTfT 
72 
18.8 
73 
17.7 
Li 
1.1 
1.1 
74 
16.6 
75 
15.5 
76 
77 
14.5 
LO 
1.1 
1.1 
LI 
13.4 
78 
12.3 
79 
11.2 
1 (1 
80 
10.2 
1 1 
81 
9.1 
1 
82 
8.1 
4 
86 
4.1 
4.1 
90 
0.0 
