Z. Page — Relativity and the Ether. 183 



be a constant velocity relative to (Js system and (f>-\-d(f> & con- 

 stant acceleration relative to O's system for the same reason 

 that d\ is a constant length relative to 0's system. 

 Hence at any time t (20) gives 



or = dx + **+ |"i - -4=1 + _^ = 



2,2 



But at any time t 



<j>y 4 



cdfx 



OP=dl=d\^l-F 

 Hence 



i-VT^^)(ca + ^) + /? ^=o 



This equation must be true for a 

 dfi = 



Integrating (22) for the instant v 



11 values of j3, hence 



(21) 



(22) 

 irhen is at rest in K we get 



(23) 



V = 6\ 



straight line 6>$ perpendic- 



t 



1 + c 2 



where </> is $ at 0. 

 • (f 

 When z = — — , <£ = oo and 



9o 

 Next consider an infinitesima 

 ular to the Z axis. At any time 



z a = — y 1 + ^r - 1 + -rr 



1 fr7u 



1 ... ix r 





-=|[lA + ?->] 





Reasoning in the same way as before, we see that <£ + dcf> 

 and rf//, must be constant, and that z q — z for any value of t. 

 Hence 



dfi = (24) 



ety = (25) 



