( *33 ) 
Now as X ABD or:(xa Is = Fluxion of ABE, 
if*you add to the firfl; Part ;^X 4 (= and its Equal 
h to the other Part, it follows, that 
^x<<7 
• Fluxloa of ABE ^ 
4-^X4) 
And taking the Fluents 
zxa = ABE + ^ or ABE =tx^3f — ^ ; and when 
z or AB becomes = AC, then ABE becomes ACK, 
and a and I become A and B ; therefore ACK is 
= 2 X A-— ^B. 
Again, The Ordinate BF of the next Curve is c- 
qual to ABE, which has been proved equal to zx ^ ^ 
Confequently the Fluxion of ABF is == \:(a ; 
and if you add to the firft Part of this Equation 
r = i = - T ^ and its E- 
qual — -i'c on the other, it fqllows, that 
Fluxionof ABF— ic* 
And taking the Fluents 
i z i = ABF — 7 c ; or by tranfpofing 
ABF=;1£ — iliif.. or fuppofing z equal to AC, 
The Ordinate BG is equal to ABF, which has 
been proved equal to ^ — — ~j“- • Therefore 
the Fluxion of ABG is equal to 
And 
I 
