454 Journal of the Asiatic Society of Bengal. [July, 1907. 



We have also \ <£c<ia = - i^8 \ | ___ + | dj<i/i 



x//-«-l -s/I-m' 



7l2 . 



1 u' cosfe~^r. 

 2 ■ ' ^ 



[m V^l 



+ r\/r'— 1 sin ~ 



between limits. 



10, The potential, therefore, becomes 



27r mi I Qo (/) 5 1 + P tf ^' cosA-V 



v/;iri I ^z^\» 



Za 



■ ^ 2n^l P.(M-) Q.(rO J 



taken between limits. 



11. Calling this V and changing / into r and /a' into /x and 



let V= C, Q,{r) + C, P^ if.) . Qi(r) + . . + 



and F2= Bo Qoir)-hB, Pi(/x) Q,(r)+ + . 



r 



4 



where T^^ and V^ are the potentials inside and outside, 



respectively. 



Then, since Vi~V^ at r = jB-=i -, where e is the eccentricity of 



e 



**he spheroid, 



APi(B)==B, Qi(-5!) 



Again from the equation of the flux, 



on mi On 



