[ ] 
We fhall begin by inquiring what is the intirc 
'Weight of any Column CN, Fig. 7. To do this we 
muft refume the Expreflion of the Attraction in any 
Point M of the Column CN ; then multiply it by 
r -f- A r, and by theDenfity fr P -j-gr q , and afterwards 
we muft find the Fluent. Thus we fhall have 
cf I e 2 ~^~ 2 P I cg^e 2 "^" 21 ! | 2 cfge 2 ~^~ P ~^~ q 
I+P X 5+P ‘ i + qy Hhq a + P+q X 3 + p 
1 3cfee 2- ^ - ^ )- ^" q 
a+P+qX 3 + q 
2 + 20 
+ 
4 cg *e 
4 cf t <2 e~ ~^~ 2 p 
i + P x 3+PX5 + P 
8 cf gae 2 + P ~ l " q 
1 +q x 3 -f-q x 5 +q ' 2 +p+qx 3 +px 5 + q 
- j - 8 c f g <* e 2 P~^ T ~ ^ 4-|- 2p,c f * A e 2 2 P 
+ 
+ 
2+P+qX3 + qX 5 -f q i + pX34-p x 5-f P 
4- -f- 1 o c <? * \ p 2 q _|_ 8 -4-4pcgfxe 2 ~^~ P ~^~ q 
3+qX5 + qxx + p a + P + qX3 + pX5 + p 
8 + 4qcf gxp ~ f~ p j^ for the total Gravity of 
2 + P + q X 3 + q X 5 -f* q 
any Column CN,, having Regard only to the At- 
traction. 
XXIX. If in this Expreflion we make a=o, we 
fhall have the Gravity of the Column at the Pole. 
XXX. And if we make A = «, we fhall have the 
Aggregate of the Attractions of the Column at the 
Equator. 
XXXI. Now becaufe the Column C N is in /Equi- 
libria with the Column C B ; it follows from thence, 
that if we lubtraft the W eight of the Column C B from 
the Aggregate of the Attractions of the Column CN, 
«he Refidue muft be equal to the Sum of the centrifugal 
Forces 
