Moever — Oeometrical 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 



!•* asymptote trav <b = 2 

 2^"* '* trav CO = 4: 



n^ '* trav a> = 2n„ 



then for the n^ asymptote the equation m (travca — versin a) 

 = irax^ becomes 



m m 

 xj = 2n. — — — versin a 



(47) 



