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)
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If and , then the inverse has equations
(2)
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(3)
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