TOPICS
Search

Inversive Geometry


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.


See also

Circle Power, Hexlet, Inverse Curve, Inversion, Inversion Pole, Peaucellier Inversor, Polar, Radical Line

Explore 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 Geometry

Cite this as:

Weisstein, Eric W. "Inversive Geometry." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InversiveGeometry.html

Subject classifications