Definition:Inversive Geometry

Definition

Inversive geometry is the field of geometry concerned with properties which are invariant under inversive transformations.

Also see

• Definition:Metrical Geometry
• Definition:Analytic Geometry
• Definition:Projective Geometry

• Results about inversive geometry can be found here.

Sources

• 1967: H.S.M. Coxeter and S.L. Greitzer: Geometry Revisited: Chapter $4$ : "An Introduction to Inversive Geometry."
• 1996: Richard Courant, Herbert Robbins and Ian Stewart: What is Mathematics? (2nd ed.): Chapter $\text{III}$ / $\text{II}$ Section $4$: "Geometrical Transformations. Inversion."
• Weisstein, Eric W. "Inversive Geometry." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InversiveGeometry.html