I jW ] 
Centre to the Circumference. From hence it feems 
ro me, we muft undertake the Computation of the 
Equilibrium of the Columns after another Manner, 
thus : 
We muft examine whether two Canals, as CN and 
BC, which arefiird with a homogeneous Fluid, will 
be in ti^quilibrio, all the other Parts of the Spheroid 
continuing as above. 
XXXV. To do this, we will begin with finding the 
Gravity of any Column CN, (Fig. 7.) arifing from 
Attraction alone. Firft, then, we muft refume the Ex- 
preffion of the Attradlion in any Point M, Art. VIL 
Then we muft multiply it by r-f- Ar, which will give 
acfr 1 84"iP,cf j 
3 + P F r+px 5 "+? 1 3 +P x T+P 
JL 2 c gr 1 ^" q r And taking the Fluent of this 
3 + q * 
Quantity, we fhall have , -L. 4-cf*e 2 ^ p 
3 + PX 2 + P 3+P x 5+P 
-f -b— gea + q &c. for the Gra- 
2 + P x 3 + P x 5+P 3 +qX 2 + q 
vity of the whole Column C N. 
XXXVI. If in this Value we make A=o, we fhall 
have the Gravity of the Column at the Pole. 
XXXVII. And if we fubtraft the Gravity of the 
Column at the Pole from the whole Sum of the 
Attractions of the Column CN, we fhall have 
which muft be equal to 
3+PX5+P 3+ q X5 + q 
$he Sum of the centrifugal Forces of the Column C N, 
in 
