Ideal point
id:
ideal-point-170-11174328
title:
Ideal point
text:
In hyperbolic geometry, an ideal point, omega point or point at infinity is a well-defined point outside the hyperbolic plane or space.
Given a line l and a point P not on l, right- and left-limiting parallels to l through P converge to l at ideal points. Unlike the projective case, ideal points form a boundary, not a submanifold. So, these lines do not intersect at an ideal point and such points, although well-defined, do not belong to the hyperbolic space itself. The ideal points together form
brand slug:
wiki
category slug:
encyclopedia
description:
Point at infinity in hyperbolic geometry
original url:
https://en.wikipedia.org/wiki/Ideal_point
date created:
2006-05-03T16:47:43Z
date modified:
2024-09-01T02:40:33Z
main entity:
{"identifier":"Q11831792","url":"https://www.wikidata.org/entity/Q11831792"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/7/73/Ideal_circles.svg","width":320,"height":320}
fields total:
13
integrity:
16