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 ). If the Polar
equation of is , then the inverse curve has polar equation
See also Inversion, Inversion Center, Inversion Circle
References
Lee, X. ``Inversion.''
http://www.best.com/~xah/SpecialPlaneCurves_dir/Inversion_dir/inversion.html.
Lee, X. ``Inversion Gallery.''
http://www.best.com/~xah/SpecialPlaneCurves_dir/InversionGallery_dir/inversionGallery.html
Yates, R. C. ``Inversion.'' A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards, pp. 127-134, 1952.
© 1996-9 Eric W. Weisstein