Induction in Spheroids. 461 



Now, 



j^ (1 ^W = ^l-rt^J« V W 2 . P.rf/i. (1) 

 But since 



(l-.O'J =».P,_, -^p, 



|*^» (l-/»«)M/t =!»?„_! y/l -/Sdr- jn^PVl-^^. (2) 

 From (1) and (2), we have 



Similarly, 

 ^J'^(t*-l)**=(i.(» J -l) l -3jQ^iv/f^lAi (B) 



and 



71 



±1HQ?_ •?=! <&.= (&, vV^I-f -%=Ldr. . . (D) 



n J dr x J vV — 1 v y 



It is, therefore, necessary to evaluate the following 

 integrals : — 



[D 



P/i/Z. M™. S. 6 Vol. 14. No. 82. Oct. 1907. 2 I 



