Nipher— The Law of Contraction of Gaseous Nebulae. U7 



dM 



Equating these two values of jd"» 



This equation is satisfied by the primitive, 



^ — [(2—ny 27rkBy ^ ^* 



Since 8 = (J --, 



1(2 — n)2 27r^i?V (11). 



By (6) and (11), 



_1_ n-l 



'-" / 4n — 3^2 

 C^l (2 — n) 27rA;i?2 



^^-" / 4n — 3/1^ \»-" (12) 



^— ^ 1(2 — n) 27rA;i?2; 



These three equations satisfy equations (1) (3) and (4). 

 The mass internal to B is 



Jf = 47r j EmB. 



Inserting B from (11) and integrating, 



TLT A (l — !'\ / ^(4n— 37l2) \2^„ 4-3n 



^ = M 4=371/ (27r^(2-n)2 ) B^^ . (13) 



The weight of a gramme at the surface of this mass is 



jM , , /2 — /I \/^(4/i— 3n2)\2^» 1 .,.. 



,=k-=,.k(^^--^^^(^^ _. (14) 



