C 5°5 ] 
in order that the Columns CB and CN may be 
C yEquiiibrio. 
But we fhall find this really to obtain, if we refumc 
in 
the Quantity 
/8cfe I+P , 8 
: 
+ 
cee ‘+ q A r 
x r+qj? 
.... . ...... . which 
\3 + P x 5 + P 3+q 
expreffes (Art. XXXI.) that Part of the centrifugal 
Force in M, which a£ts according to C M. Then mul- 
tiplying this Expreffion by r, and feeking the Fluent, 
we fhall have. l e 
2+p 
+ 
4 c g e 
2-fq 
for the Ag- 
3 + P*5 + P ‘ 3 + q x 5 -f <3 
gregate of the centrifugal Forces of the Column CN. 
And this being the fame as the foregoing, {hews, that 
the Columns CB and CN are in ^/Equilibria, fup- 
pofirig them to be homogeneous s nor are we here 
obliged, as in Art. XXXII. where we confider them 
as' heterogeneous, to fuppofe the Coefficients f, p, &c. 
to have any certain Relation among one another. 
XXXVIII. Perhaps it may be urged, that the fore- 
going Calculus agrees only to a Canal, as B CN, which 
paffes through the Centre; and that we ought to 
prove, in the fame manner, that the Water included 
in any other Canal pqr would obferve an ^Equili- 
brium. But it appears to me, that this Property may 
. be derived from the former: For it follows from the 
foregoing Calculation, that if we might be allow'd to 
make this. Hypothcfis, ws. That independently of the 
Attraction of any Matter, the Gravity at any Diftance 
CN from th£ Centre/ (fee Fig. 7.)' would bepropor- 
2cf e I + P.|, I^I^cfxe 1 ^'P j Scf^e'+P 
tional to m 
3+P 3*fP X 5+P ' 3+PX* + p’ 
&c. it is plain from thence, that a Mafs of the homo- 
Q,q i ' geneous 
