82 
FIFTH REPORT —1835 
6 . cos v) = sin « . sin <$. 
, sin a 
7. COS U = — j,- 
it 
8 . cos v — 
Sill \X 
Sill Yj 
_ , (A + B cos 2 + C cos 4 4- . . %) sin 2 ^ Z * 
9. COta> = v - t 7 --:---' = ^ - 
A' + B r cos 2 + C cos 4 zj + . . N 
10 . i = v — vo. 
11 . F = Z . cos vo 4 wN . sin = Z . see vo = N cosec vo. 
12. sin/ = tan [x . cotvj. 
13. tan g = tan i . cos tj. 
14. sin I = sin i . sin >j. 
15. D = J - tf + g). 
16. cosec c = sin I. sin V 4 cos I . cos V . cos (D — D ; ). 
17. K= V' M 2 F 2 4 (M' FO 2 4 2 M M' F F' . cos c. 
MF . sin I 4 . M' F ’ . sin V 
18. sin I — 
K 
* (Formula 9). A, B, C, &c., and A', B', C', &c., are coefficients supplied 
. , _ ,, ,, „ the magnetic radius 
by the following table, according to different values of —- 5 : - 7 —- or 
0 ® I magnetic axis 
Ti y t ( ? 
^— — (?■ If Q is the coefficient of the b axis of the magnet to r the earth’s ra¬ 
dius, then is L y — r R = Q R . /3y ; therefore — « = QR, 
/3 V 
e= 
2 
2*5 
3 
4 
5 
6 
7 
8 
9 
10 
0 , 
0,0 
0,0 
0,0 
0,00 
0,00 
0,00 
0,00 
0,00 
0,000 
A= 
10738 
51527 
29012 
119711 
60768 
35018 
21999 
14716 
10325 
75216 
—* 
. 
5292 
16178 
6308 
14602 
4738 
1895 
874 
448 
248 
1464 
0 
C = 
1236 
2416 
653 
849 
176 
49 
17 
17 
3 
14 
cj 
287 
360 
67 
49 
6 
1 
r P? 
E — 
63 
52 
h* 
/ 
3 
5 
F = 
13 
7 
. A'= 
03855 
18196 
10104 
040988 
20619 
11820 
07402 
04941 
03461 
25188 
B'= 
1096S 
52845 
29647 
121454 
61374 
35269 
22118 
14776 
10359 
75420 
u 
0 
C'= 
2633 
8153 
3184 
7357 
2382 
951 
438 
224 
124 
733 
*2 
D'- 
609 
1208 
328 
426 
88 
19 
6 
2 
1 
5 
E'= 
140 
179 
34 
25 
3 
1 
0 
F'= 
32 
41 
3 
1 
0 
G'z= 
7 
4 
Q 
