Inversive Transformation in Euclidean Space is Conformal

Theorem

Let $f$ be an inversive transformation in Euclidean space.

Then $f$ is a conformal transformation.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): conformal transformation
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): conformal transformation