Hyperbolic geometry
id:
hyperbolic-geometry-225-3441932
title:
Hyperbolic geometry
text:
In mathematics, hyperbolic geometry is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with:
- For any given line R and point P not on R, in the plane containing both line R and point P there are at least two distinct lines through P that do not intersect R. (Compare the above with Playfair's axiom, the modern version of Euclid's parallel postulate.) The hyperbolic plane is a plane where every point is a saddle point. Hyperbolic plane geometry is also the geo
brand slug:
wiki
category slug:
encyclopedia
description:
Non-Euclidean geometry
original url:
https://en.wikipedia.org/wiki/Hyperbolic_geometry
date created:
2003-06-06T16:55:00Z
date modified:
2024-09-14T19:45:30Z
main entity:
{"identifier":"Q209306","url":"https://www.wikidata.org/entity/Q209306"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/1/1d/Hyperbolic.svg","width":199,"height":199}
fields total:
13
integrity:
16