Meaning of circle inversion | Babel Free

Definitions

A transformation that maps any point P ≠ O to the point P’ on the ray from O through P for which OP × OP’ = r², and which maps O to the point at infinity.

Examples

“The first of these is obtained by the method of circle inversion first discovered by Peaucellier.”

“Nikolai Joukowski (1847-1921) was a Russian mathematician who did research⟳ in aerodynamics (James and James, 1992). He used circle inversion in the complex number⟳ plane to study⟳ airfoil shapes.”

“As is common with nonlinear projections, it is possible to come⟳ up with many variants of circle inversions.[…]An obvious (but perhaps not very useful) extension of circle inversion is sphere inversion, where the spaces inside and outside a sphere are swapped.”

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