Word.ws English Dictionary

inversive geometry

inversive geometry noun: the branch of geometry concerned with inversion transformations, specifically circle inversions in the Euclidean plane, but also as generalised in non-Euclidean and higher-dimensional spaces.

Noun

inversive geometry (countable and uncountable, plural inversive geometries)

  1. The branch of geometry concerned with inversion transformations, specifically circle inversions in the Euclidean plane, but also as generalised in non-Euclidean and higher-dimensional spaces.
    • In particular, the non-Euclidean geometry of Lobachevsky and Bolyai, and the inversive geometry of Steiner play an important role.1983, John Willard Milnor, On the Geometry of the Kepler Problem, The American Mathematical Monthly, Volume 90, reprinted in 1994, John Milnor, Collected Papers, I: Geometry, page 261
    • The study of properties of such families of circles gave rise to a new geometry, called inversive geometry, which was able to provide particularly striking proofs of previously known results in Euclidean geometry as well as new results.1999, David A. Brannan, Matthew F. Esplen, Jeremy J. Gray, Geometry, page 2

Forms of inversive geometry

pluralinversive geometries

Questions about inversive geometry

What does inversive geometry mean?
Inversive geometry means the branch of geometry concerned with inversion transformations, specifically circle inversions in the Euclidean plane, but also as generalised in non-Euclidean and higher-dimensional spaces.
What part of speech is inversive geometry?
Inversive geometry is a noun.
What is the plural of inversive geometry?
The plural of inversive geometry is inversive geometries.

Words near inversive geometry in the dictionary

  1. inversionists
  2. inversionless
  3. inversions
  4. inversive
  5. inversive geometries
  6. inversive geometry
  7. inversively
  8. inversiveness
  9. inversivity
  10. Inversnaid
  11. inversus

Source and license

Adapted from Wiktionary: inversive geometry (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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