Roever — Geometrical Properties of Lines of Force. 297 



represents a curve which has au 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 



1** asymptote trav &> ;= 2 



2''* " trav (0=4: 



n^ *' trav <o = 2n„ 



then for the n^*" asymptote the equation m (travw — versin a) 

 = 7r<TX^ becomes 



m m 

 x} = 2/?„ — — — versin a 



(47) 



