﻿deduced from the Electrical Theory of Matter. 7? 



constrained to move in the manner required by the investiga- 

 tion on pages 70-76, and let us see whether the modifica- 

 tions of the forces of the various electrons on one another is 

 such as to maintain that state of motion. First let us see 

 how the component velocities of an electron, whose com- 

 ponent velocities in the system at rest are denoted hyp, q, r, 

 will be modified by the motion. 



Suppose that the x coordinate of a, in the system at rest, 

 js some function of the time, say x=f(f) bo that 



Then in the moving svstem we have 



I 



or, replacing t by e 12 £+ p 2 ? m or( ^ er *° fi ,1( l t ,ne value of 



d,r' 



~jr when the electron is describing the motion corresponding 



to the one we are considering in the fixed system, we find 



dt ~ pe \ L + CJJ ' 

 so that the velocity p' with respect to a fixed origin is 



In a similar manner we obtain 



-w* (i + g)-. j 



Now let us consider the values of yjr and yfr' at corre- 

 sponding points in the fixed and moving systems respectively. 

 Returning to fig. 1 we remember that OP represents the 

 distance from some point in the system at rest, at which 

 an electronic motion took place, to the point P at which the 

 effect was felt at the time £, while 0'P M represents the 

 distance from the point 0' to P", which is the point in space 



(9) 



