﻿Isotropic Spheres under Uniform Surface- Pressure, 111 

 Subcase (i) . k varying, but n same throughout : — 



alK-a*i(K q vJv)-al 2 (K^r) 

 ! , !±1 1. (56) 



1-2(K,V») 



1 



Subcase (ii). n varying, but k same throughout : — 



a«_ 1 M,-aJ i(M,V»)-af % (M qVq /v) 



~ (P-P') — t ^ 1 



l-2(M gV ) J 



+ ^(3* + 4nJ(aJ-a;) \ *~ f^W") } • • • • (57) 



Subcase (iii). Elastic constants departing from mean values 

 n and k by small quantities, e. g. 8n s and S£ s in the sth layer, 

 whose squares and products are negligible: — 



PA«. 1%. S. 5. Vol. 38. No. 231. Aug. 1894. N 



