212 Proceedings of the Koyal Society of Edinburgh. [Sess. 
On addition of 1*04 and 1*05 we obtain 
1*06 . . ' . 
Ma* + my,4= - Xsefp 2 , 
which with 1*05 gives 
1*07 
x = 
m 
mp 1 J 
1*08 
1*09 
1*10 
Ml 
M2 
Xtr - 
£(M + fxm) — M mp 2 
^ ,/ tse 
M(E- 
and 
Let E s — E — - , 
and 
se 
t(M + fxm) - M mp 2 ~ r mp 2 
tse 
mp 2 
D 5 = £(M + mn) - M mp 2 - tsm 
= D 0 - tsm. 
E 
x — m. -- . X, and 
-L'c 
2 >-- 
M w + — ^ 
L 1 > s mp A _ 
X. 
Substituting these values in equation 1*01, we obtain 
M3 
114 
1*15 
X' = -ttNX 
3 
Let X' = P,X, 
^(mE + Me) + — , 
_D S mp‘ 
x_x 
■ e ‘p. i i - 1- ’ 
where P s = -7 tN 
5 3 
X 
E 
L l>, 
kmE + Me) + M . 
J s mp 2 } 
(6) Now, in consequence of the motion of these charges, the electrical 
current is no longer where K = specific inductive capacity of the 
aether, i.e. K = l, but the following vector equation for the current C gives 
the required modification : 
dF 
4:7 T (it 
l_ d 
4 tt dt' 
1 1 + 2P S d¥ 
4t r 1-Pc 
1*16 
, from 1*14. 
(F + 3F') 
dt 
Equations of motion in free aether are 
P17 47rC = curl H, 
1*18 - H = curl F, 
where H is the magnetic vector. 
