Liquid Spheroid and the Genesis of the Moon. 257 



ot OA- dy d^ o^'V p/ 



ot ^x By dz b2\ pj 



>-.(3) 



where p is the pressure, p the density, and Vi the potential of 

 the bodily forces. 

 Now 



'du /a a\ r . aP—P- 



4.n/« 4a^6^ b 4.a^b' \ 1 

 ^ la (a' + b'Y b (a' + byii 



(a^ + b'f b (a' + b'y 

 so that 



T 



K^-"^^)] 





6 



(a2 + 62)2--Va 5/ "'6 



^a' + b'^a V a' + b'Jb] 

 =-a'x + h'y say. ...-».... (4) 

 In like manner, 



'dyV^ pj~ V^ d' + h^ ' {a' + b') 



a _25^ 

 a a^ + b 



— --4+o+"^)g 



=.h"x-\-b'y say (5) 



02 V p/ C 



= cfz say (6) 



PM. Mag. S. 5. Vol. 27. No. 166. March 1889. S 



