circle inversion
English
![](http://upload.wikimedia.org/wikipedia/commons/thumb/2/21/Inversion_illustration1.svg/220px-Inversion_illustration1.svg.png)
Noun
circle inversion (plural circle inversions)
- (geometry, inversive geometry, for a given circle with centre O and radius r) 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.
- 1875, A. B. Kempe, On Some New Limkages, Messenger of Mathematics, Volume 4, page 121,
- The first of these is obtained by the method of circle inversion first discovered by Peaucellier.
- 1997, Mathematical Association of America, MAA Notes, Issues 41-42, page 169,
- 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.
- 2011, David Salomon, The Computer Graphics Manual[1], page 88:
- 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.
- 1875, A. B. Kempe, On Some New Limkages, Messenger of Mathematics, Volume 4, page 121,
Synonyms
- (transformation): inversion