L. Page — Relativity and the Ether. 175 



tan y = V 1 - p 2 -jy 



If I', m\ n are the direction cosines of c' 

 V = sin $' cosif/' 

 m! = sin 0' sin y/ cos y' + cos 6' sin y' 

 . w' = — sin 6' sin i// sin y' 4- cos 0' cosy' 

 and 



cl = * vi-p 



1 + £/i' 



Hence 



cm' a/ 1 — ff 



„ = «.= *»'+? 



1 + j8»' 



^ = c ^ = cVT^F[dl' + P( n'dl> - I'dn') ] 

 (l+j8«T 



_ __cy 1 — /? a [6?m' -f fl(ridm' — m'dii')'] 



ac.. — cam — — — jr-z 



(1 + (3n'Y 



z ~ _ (1 + ^, )a 



Since the angle between any particular tube of strain in the 

 immediate vicinity of the charged particle and the direction of 

 dV must have the same value to an observer in K" when the 

 charge is in K" as this angle has to an observer in K' when 

 the charge is in K\ and since both these angles must lie in the 

 same plane, 



dff = - 



•'?«V('-«g0 



(1 ~ 1 ) 

 dip' = 



Hence 



in 0' cos 0' cos f — yi + (i-W^?Y 



tf/ ; 



tfm' 



(1 ~/3 a ) 



(sin 0' sin y' — cos 0' sin «// cos y')sin 0' - — z \ 1 +(1 -fflf^F') 



(l-^ a ) 



