D. Trowbridge on the Nebular Hypothesis. 357 
hang together until they had accumulated to such an amount, 
that, by their own attractive influence combined with the consid- 
erable difference of angular velocity of the internal and external 
parts, the whole of the strata whose centrifugal force equaled 
the force of gravity—and perhaps some more, in consequence of 
friction and cohesion—would be separated from the solar body, 
n consequence of the extreme rarity of the external parts of 
the solar spheroid about the equator, when the first ring was 
if it were possible for R to become 1 for a point on the equator, it would be 1 for 
all Points of the spheroid. If the revolving body be a hom us spheroid of 
(249 pe—w?)(ade + ydy) +479 Vezdz=0, or fe 
(1- ) (ede + yay) + ede = (1B) ede + ydy) + igi 
2rege 
Jie 
e 
If R=1, then ye=0=e? — sin-'e, Hence 
e . a 
Pry aioe. Put e=sina, then A=tana. There are an infinite number of 
Toots to this ion. Since every value of ¢ except e==0, is greater than that of 
the spheroid of awiftest it i A ae that the equation be == 0 does not apply 
to a spheroid: but it indicates that there is a discontinuity. 
