308 * Of the SOLIDS: 
As the tangent of 62°.46' is not far from being double of 
the radius, therefore the cone of greateft attraction has the ra- 
dius of its bafe nearly double of its altitude. 
To compare the attraction of this cone with that of a {phere 
containing the fame quantity of matter, we muft exprefs the 
attraction in terms of z, the ratio of x to z, which has now been 
found. 
2 
x x 
BECAUSE 7x (22 — x") = 33, and z=-, tx (—=—2’) = 
as uw “ 
va (E=*) = 3m3, and x=m. Sa Sail 
wT 
(Eo) 
I 
: xr x 
Now, we have A= 2 (x=), and fince * =x, ~ 
z z Pe 
3 Zu a 3/3 
maf 3" pind Asae (1m. ¢ Coa Raia rs ae MU ». meray, 
=27m.(1—n) V73* 5 3 wherefore, AS = 8%* m? (1—n)s3 
ae = 24%" m3 is Nemo 
= (I—Zz) I+u 
But if A’ be the attraction of a fphere of which the mafs is: 
3/16 7 
m3, on a particle at its furface, A’ =m NV sand A: = 
Par Therefore A? : A? :: 24 uw! (a — 4) 16 epic 
9 L-+4 9 
a7u (I—U)._. Nee) Payee 
Sane a oe 1; and confequently A: A’: : 3 Gee 
Ir, in this expreffion, we fubftitute .45761 for uw, we fhall 
have A: A’ :: .82941: 1, fo that the attraction of the cone, 
when 
