tity of is ~"'~7Ta. f* aS is eafi 'y fliewn bring- 
ing b ac k thefe flowing quantities to their refpe&ive Fluxi- 
ons.] And hence alfo it follows, that the whole Area 
continued on infinitely towards E, is one third of the 
Square F I K H 5 or h a a. Eor fuppofing x = a the Area 
, a a a a a a 
above becomes >— — 7 
2 o 3’ 
While I was corifidcring the other Properties of this 
Curve, and had given fome account of them to my 
Ingenious Friend Mr John Colfon, he returned me 
a Letter with the Addition of the Quadrature of 
the Curves Area, which I had not then enquired 
intOi 
V. Suppofing ftjU the fame things, I fay that the Solid 
made by the converfion of the Area F a b H F about the 
Line H b as an Axis, is equal to a Cylinder whole Radius 
is F H — a, and height equal to ~ x — ~—r q- gf 
2 a 2 a a 1 '» a ! * 
And the whole Solid made by converfiou of the whole 
Figure infinitely continued, is equal to an eighth part of 
a Cylinder, whofe Radius and Height are each equal to 
F H or 
p 
Let — exprefs the Proportion of the Periforie and 
<1 XT 
Diameter of a Circle. Then is — a b quad, the Area of 
< - . LJ 
a Circle whofe Radius Is a b. And becaufe C a = y = 
X — f ; X'X * — • X X 
2~a k the fluxion of the Solid is P jl L q, * — — 
"TZI D 2 ai' 
•or 
i. 
