Roever — Geometrical Properties of Lines of Force. 297 



represents a curve which has an infinite number of branches, 

 of which only one passes through 0. (Fig. 7.) 



Fig. 7. 



In order to investigate this curve for asymptotes put for 

 the 



l Bt asymptote trav to = 2 



2 nd " trav co =■ 4 



>th it 



trav co = 2n a 



then for the n£> asymptote the equation m (trav co — versin a) 

 = ttctx 2 becomes 



m m 

 x? = 2n a — — — versin a 



(47) 



- — r- _____ _ _-_ — - - r;z7 



