410 
Mr. Christie on the magnetism of 
seen when we compute it for these values of which would 
still further diminish these differences. I have therefore no 
doubt that the differences between the computed and ob- 
served values of and d, in this table are to be attributed to 
an error of about 15' in the observed value of 6' when x = 
54° 45'. The best criterion, however, of the correctness of 
the formulae is in the agreement of the values of the con- 
stants derived from them by means of the observations. 
If we eliminate ~ from the equations (9) and (10), we 
shall obtain 
2wR* 
Fr 
6 sin. 2 X cos. 6' . cos. &, 
cos. 5“ * sin. (0' 4 0,) 
(12). 
Substituting in the equations (11) and (12) the several ob- 
served values of 6' and in tables A and B, we obtain the 
values of and contained in the following table. 
fp 
Fr 
Table of the values of the constants 
z mFJ 
" Fr 
and 
2 F r 
computed 
from the several observed values of^' and 0, in tables A and B, by 
means of the equations (12) and (11). 
X 
Observed values in 
Table A. 
Computed values. 
Observed values in 
Table B, 
Computed values. 
0 ' 
0 
/ 
2 m 
2 F r 
0 ' 
0 ' 
z m'BJ 
2 F r 
Fr 
/P 
F r 
fp 
o 
O 
lO 
20 
30 
40 
50 
6o 
70 
80 
90 
0 / // 
+ 47 55 
3 57 20 
6 57 00 
9 03 25 
9 56 20 
Q 31 20 
8 05 15 
5 51 35 
2 51 25 
— 22 25 
0 / U 
— 47 55 
2 26 40 
5 40 00 
8 03 45 
9 19 30 
9 21 25 
8 16 15 
6 19 40 
3 31 30 
+ 22 25 
50.103 
54‘3oi 
51.615 
51.077 
51.516 
52.587 
53-492 
53- 452 
54- 463 
53-551 
16.331 
15-733 
16.681 
16.321 
15.852 
18.188 
16.939 
17-397 
1 6 . 902 
17-455 
0 / // 
+ 50 28 
4 30 50 
7 38 05 
10 07 50 
11 02 12 
10 44 55 
9 12 10 
6 33 52 
3 10 CO 
— 24 49 
0 / // 
— 50 28 
2 54 52 
6 15 27 
9 03 12 
10 23 37 
10 32 35 
9 24 40 
7 06 20 
3 c6 00 
+ 24 49 
47- 57* 
46.767 
46.834 
45-492 
46.203 
46.512 
46.915 
47 . 609 
48 . 846 
48- 372 
16.798 
17.240 
17.085 
16.819 
16.759 
16.412 
16.894 
16.849 
16.712 
17.081 
Mean values 
52.616 
16.780 
Mean values 
47.112 
16,865 
