Non-Desarguesian plane
id:
non-desarguesian-plane-295-13228228
title:
Non-Desarguesian plane
text:
In mathematics, a non-Desarguesian plane is a projective plane that does not satisfy Desargues' theorem, or in other words a plane that is not a Desarguesian plane. The theorem of Desargues is true in all projective spaces of dimension not 2; in other words, the only projective spaces of dimension not equal to 2 are the classical projective geometries over a field. However, David Hilbert found that some projective planes do not satisfy it. The current state of knowledge of these examples is not
brand slug:
wiki
category slug:
encyclopedia
description:
Projective plane not satisfying Desargues' theorem
original url:
https://en.wikipedia.org/wiki/Non-Desarguesian_plane
date created:
date modified:
2024-02-08T02:55:16Z
main entity:
{"identifier":"Q3391357","url":"https://www.wikidata.org/entity/Q3391357"}
image:
fields total:
13
integrity:
14