430 Prof. 0. Reynolds. 



The complex inequality which corresponds to the separation of the 

 positive and negative inequalities is one displacement, not two. This 

 fact admits of no question, and might have been recognised long ago 

 had it not been for the general assumption that positive electricity 

 repels positive electricity, the fact being that the apparent repulsion 

 of the positive electricities is the result of their respective efforts to 

 approach their respective negative inequalities. By the assumption it 

 became apparently possible to express the potential v and the elec- 

 tricity q as rational quantities, while, as it now appears, the potential v 

 and the electricity q are respectively 



-(-e 2 )*.- 1 and (-e 2 )*, 

 r 



which are both irrational. Their product being the rational quantity 



#/r t 

 which differentiated with respect to the distance is 



-e 2 /'/- 2 = K. 

 And the mechanical explanation of these is 



i 



and for the effort to revert we have 



Then for the electrostatic units we have, since r 1, and E, = 1, 



and from the known value of p, the number of grains displaced through 

 unit distance necessary to cause the unit effort is 



1-61 5 x 10 45 , 



andr = 6'493 x 10~ 3 , from which we have the ratio of the effort to 

 reinstate the normal piling, to the effort of gravitation, from the same 

 number of grains absent in each inequality as are displaced in the 

 complex inequality, the distances being the same 



1-2 xlO 15 ; 



so that the effort of attraction between two inequalities, the grains 

 absent about each of which are the same as the grains displaced in 



