THEORY OF POLYCONIC PROJECTIONS. 85 



Integrating again, we obtain 



loge(/3Z + ^|^'Z'-T) =^2 + d 

 or 



Taking reciprocals we get 

 By addition, we obtain 



^ 2^^ ^ 2/3 ^ 



Now, for abbreviation let 



~^A, and ^=S. 



6^ . J y^e~^ 



and we have 



or 



But 



Hence 





1 



g2/3z 



By integration 





^'^^^ ~ 2A,(3 A,e^^'+B^'^ ^' 



If we set — 2^.^/3= If and — 2^.1^118 = iV and restore the 

 value of z, we obtain 



