Definition:Inversive Transformation/Inversion Radius
< Definition:Inversive Transformation(Redirected from Definition:Radius of Inversion)
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Definition
Let $\EE$ denote the Euclidean plane.
Let $f: \EE \to \EE$ be the inversive transformation on $\EE$ with respect to the inversion circle $\CC$ whose center is $O$ and whose radius is $r$.
The radius $r$ of the inversion circle $\CC$ is known as the inversion radius of $f$.
Also known as
An inversion radius is also known as a radius of inversion.
Also see
- Results about inversive transformations can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): inversion: 1.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): inversion: 1.
- Weisstein, Eric W. "Inversion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Inversion.html
- Weisstein, Eric W. "Inversion Radius." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InversionRadius.html