Given a circle 
with center 
and radius 
, then two points 
and 
are inverse with respect to 
if 
.
If 
describes a curve 
, then 
describes a curve 
called the inverse of 
with respect to the circle 
(with inversion center 
). The Peaucellier
inversor can be used to construct an inverse curve from a given curve.
If the polar equation of 
is 
, then the inverse curve has polar
equation
 |
(1)
|
If 
and 
, then the inverse has equations
 |  |  |
(2)
|
 |  |  |
(3)
|
