no Mr. Christie on the mutual action of 
the torsions as before ; the numbers in the third column are 
deduced from the observed deviations by substituting them 
in the expression, 
Arc of torsion = 6610. Sin deviation; 
and the values of a, or the torsion of the wire which is equi¬ 
valent to the force with which the ring urged the magnets at 
different distances, are found by adding the deviation to the 
preceding arc of torsion. 
Table IX. 
r~r. — 
1 .1?^ 
« S *- 
T 3 
QJ , 
g g) 
CO .S 
tn ^ 
licit is equi- 
iation. 
lich is cqiii- 
witli which 
nagnels, or 
1 " 
ba 
0 
Values of Mdetermined from 
different combinations of 
a , a , a , a , &c. 
It ni IV V 
Values of £* 
determined 
from 
M = 46 6S 
and the se¬ 
parate ob¬ 
servations. 
T 3 lU o"‘ 
"H S ^ 
• — CO u.* 
£ ® 
s g 
5 
0 
^ 8 " 
Combinations. 
Values of M. 
Distance of the 
tlie ring from th 
nets, or \ alues 
"5 5 
0 
0 ^ 
c ^ 
.2 -5 
"(0 
0) 
Q 
" 
0 0 
*w •«-> 
0 ^ 
C « 
.2 ^ 
*35 
0 
Torsion of the w 
valent to the 
the ring urges 
value of a. 
Value of a 
n 
a a 
n IV 
a a 
n V 
a a 
11 VI 
a a 
47 828 
47-497 
47-525 
47-075 
c “ 2*256 
11 
o°36' 
69*2 
69*8 
a =*119694 
II VIl 
a a 
III V 
45*860 
*4918 
c = 1756 
111 
I 23*5 
i6o*5 
161*9 
a ir*078592 
Ill 
a a 
111 VI 
46347 
*5812 
c “ 1*506 
IV 
2 20 
269 I 
271*4 
a “*060701 
IV 
a a 
111 Vll 
45-779 
*5624 
c — 1*256 
V 
4 o6*5 
473*6 
4777 
% =-045753 
a a 
JV VI 
46*859 
•5559 
c rr I *006 
VI 
7 30 
862*8 
870*3 
=-033897 
a a 
IV VIl 
45-875 
*5686 
c = 0*756 
VII 
15 27*5 
1761*8 
,777.3 
a —'ozxizo 
VII 
a a 
V vn 
45-659 
•5345 
Mean values 
46 630 
'549* 
1 
If we compare the torsions in the fourth column, which are 
equivalent to the force with which the ring by its rotation 
urges the magnets, with the mean torsions before obtained, 
which represent the force with which the magnets urge the 
ring when revolving horizontally under it, we shall find the 
