The geometry resulting from the application of the inversion operation. It can be especially powerful for solving apparently difficult problems such as Steiner's porism and Apollonius' problem.
Inversive Geometry
See also
Circle Power, Hexlet, Inverse Curve, Inversion, Inversion Pole, Peaucellier Inversor, Polar, Radical LineExplore with Wolfram|Alpha
References
Coxeter, H. S. M. and Greitzer, S. L. "An Introduction to Inversive Geometry." Ch. 5 in Geometry Revisited. Washington, DC: Math. Assoc. Amer., pp. 103-131, 1967.Ogilvy, C. S. "Inversive Geometry" and "Applications of Inversive Geometry." Chs. 3-4 in Excursions in Geometry. New York: Dover, pp. 24-55, 1990.Morley, F. and Morley, F. V. Inversive Geometry. Boston, MA: Ginn, 1933.Referenced on Wolfram|Alpha
Inversive GeometryCite this as:
Weisstein, Eric W. "Inversive Geometry." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InversiveGeometry.html