1880.] under the gravitation of its own parts. 



These equations may be written 



!«--** Q ,| + _|2 T n,?=o, 



a dt a' + b* 3 b (? + a' "c 



ldv_ 2bc t 2ab £ _ 

 b dt b*+c> ^c a a + 6 a z a~ ' 



ccft c 2 + a 2 2 a 6 2 +c 2 *& ' 



We see that 



^d^ 1 dr 1 ^Oj = 

 a' dt ^ b* dt ~*~ c 2 dt ' 



and therefore 



-^ + 7? + \ = constant. 

 a 2 b l c z 



The first equation of (E) becomes now, supposing the internal 

 forces due to the mutual gravitation of the liquid particles, and 

 putting 



A ~^ M !o (a* + \)P> B -* M } Q (6 2 + X)P' 



2 Jo (c* + \)P' 

 where P 2 = (a 2 + X) (b 2 + X) (c 2 + X) ; 



1 dp . a ~. c~ — a ^ & 2 — ° r \ 



p£ +Ax -ys +2v+ sTa7> n > z+ a>Tv n >y 



/ 26 2 2& 2 \/ . « 2 -& 2 ^ 



and the coefficient of y in this equation 



