( *3* ) 
CXA, CYA, CZA, CFA, &c. the firft Area CTDA 
being put equal to P, the fecond CXA equal to Q^, 
the third CYA=R, the fourth CZA=i>, the fifth 
CTA=T, &c. the whole Areas of the aforefaid 
Series of Curves are alfo determin’d as follows. 
The firft AIC=P 
The fecond AKC=Q 
The third ALC=f R 
The fourth AMC=tS 
The fifth ANC=ri T. 
Here the Area’s P,Q,R,S,T are divided by Num- 
bers produced by multiplying as many Terms of this 
Series ix ax 3x4x5 &c. together, as in the former 
Cafe. 
Demonflration of the Firfi Part. 
I 
% 
Let the Area ABD be denoted by 4, the Area 
ABO by ABP by c, ABQ by //, and ABK by e. 
Then it is evident, that 
The Fluxion of the Area ABD is= D = i ’ 
The Fluxion of the Area ABO is= ^ x BO = 
The Fluxion of the Area ABP is= ^ x B p = ^ » 
&c &c. 
Hence 
• • • 
;(Xrf is {-’KKy ) = ^ 
' • • • • 
^1X4 is (= =^^=4 
• • • • • 
;^»X 4 is f = d. 
Or generally, 
» • • • 
X a = X ^ X c = X d, 
Now 
