92 



On this hypothesis. 



- Therefore^ = ^^,1^ 

 and by integration, 

 /. = Mil. + qiL h. log. ia+z-) + -7^, + comt. 



Hence this integral from z == I' to z = o gives 



The right hand side of this equation being expanded ac- ' 

 cording to the powers of — there results 



ip) = (f) (^ - £- &^-) 



but (p) = (?) ; 



Hence is easily deduced I' = ^l -h y^ nearly 



Having obtained I' we immediately deduce by equal, (i) 

 the relation between § and r on this hypothesis, 



Whence -^ = 1 + ^-^ (^ + -^) or regarding 



only one dimension ot — '— =1 ^^ x a ^ ' 



11 

 or _1_ = (l±h-\ 6(r)a 5 being introduced to form the 



r V1+6CpJ/ 



factor 6 f . 



