Word.ws English Dictionary

circle inversion

circle inversion noun: 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.

circle inversion: a transformation that maps any point P ≠ O to the point P’ on the ray from O through P for which OP...
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Noun

circle inversion (plural circle inversions)

  1. (inversive geometry) 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.
    • The first of these is obtained by the method of circle inversion first discovered by Peaucellier.1875, A. B. Kempe, On Some New Limkages: Messenger of Mathematics, volume 4, page 121
    • 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.1997, Mathematical Association of America, MAA Notes, numbers 41-42, page 169
    Synonyms:
    transformation

Synonyms of circle inversion

Forms of circle inversion

pluralcircle inversions

Questions about circle inversion

What does circle inversion mean?
Circle inversion means 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.
What part of speech is circle inversion?
Circle inversion is a noun.
What is the plural of circle inversion?
The plural of circle inversion is circle inversions.

Words near circle inversion in the dictionary

  1. circle games
  2. circle gets the square
  3. circle group
  4. circle groups
  5. circle in
  6. circle inversion
  7. circle inversions
  8. circle jerk
  9. circle jerked
  10. circle jerker
  11. circle jerkers

Source and license

Adapted from Wiktionary: circle inversion (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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