224 Of the SOLIDS 
tan 93 ‘tan 9° Caycan oe tan 0% 
a =p er , &c. tan ep— aa aes +,&c. and 
tan 9? —_ 
a tan 93 tan 9 ane’) I 
=a —=-= = > 
cof? 3 5 7 
Arn aoe —me wo aS ? When 9=0, F = react 
cof 9? 3 3 
v ? SSNS, V 
the folidity m?, as was already fhewn. This laft is the con- 
clufion we had to expect, the fpheroid, when it ceafes to have 
any oblatenefs, becoming of neceflity a {phere. 
Ir is evident alfo, that the variations of g will but little af- 
fect the magnitude of F, while g and tan 9 are fmall, as the 
leaft power of tan ¢ that enters into the value of F is the 
= which is the attraction at the furface of a {phere of 
{quare. 
For, inftead of cof. 23, we may, when ¢ is very fmall, write 
ots eee eee a aen(1+2 tang) (2— — sae 
tan 9+ 
a —, &c. ). 
7 
Ir the oblatenefs of a fpheroid diminifh, while its quantity 
of matter remains the fame, its attraction will increafe till the 
oblatenefs vanifh, and the f{pheroid become a fphere, when 
the attraction at its poles, as we have feen, becomes a maxi- 
mum. If the polar axis continue to increafe, the {phe- 
roid 
