﻿Non-Newtonian Mechanics. 379 



for the corresponding component velocities the values 

 u x — (f) a/1--</>7^ 2 .% \Zl — (f) 2 /c 2 u z v x — (b n 

 1 _ u *i_ -i _ ^9 i _ u *9 i 1^9 



given by Einstein'' s transformation equations. 



Since the laws of the conservation of mass and momentum 

 must also hold for the measurements of this new observer, 

 we may write the following new relations corresponding to 

 equations 1 to 4 : — 



y r -i> \ 2 /^^Wc 2 u v \ 2 , /x/l-^y u z 



c 2 c 2 c 2 / 



n A( v *-j Y+ /^ 2 %\ 2 + / v O^\^ 



= mo/^ 



1 



,.2 



I T J 1-^f L J 1-!^ 



r 



(la) 



^■■••}S + ^--}^ (2a) 



C 2 2 — 



- 4 b }t^" + ■{"■•■■• ii^-w 



