416 The Inverfe Method 
is] 
ee ee c? Cc 
therefore m= a a =p when = 3$ 
: F rV 
hence the radius of the circle== >In 
VV? —c 
the fame manner it will appear, that the femi> 
‘tranfverfe and conjugate axes of the hyperbola will 
and of 
_ fp? 
V 
>; andr X ; and 
Aap ih pact VV*7—c* 
if the hyperbola be rectangular, its femi-_ 
the ellipfis, r * 
axes == 7 X is aa Za 
Cte 
Cor. 3. If n= 2, the equation becomes 
b = 
zi Foleo eee es 
VV 2 Vr—1—m xy 
a 
: y 
V¥ = x s Se 
l1—m x 2 r -—y 
1—m 
But x= Vy ———— js the equation of 
1—m a 
a cycloid, the diameter of whofe generating 
circle == =r wal m being 
— eee OL —— CF j 
—m %oye—c” 
— 
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