Five points determine a conic
id:
five-points-determine-a-conic-248-16210111
title:
Five points determine a conic
text:
In Euclidean and projective geometry, five points determine a conic, just as two (distinct) points determine a line. There are additional subtleties for conics that do not exist for lines, and thus the statement and its proof for conics are both more technical than for lines. Formally, given any five points in the plane in general linear position, meaning no three collinear, there is a unique conic passing through them, which will be non-degenerate; this is true over both the Euclidean plane and
brand slug:
wiki
category slug:
encyclopedia
description:
Principle in geometry
original url:
https://en.wikipedia.org/wiki/Five_points_determine_a_conic
date created:
date modified:
2023-09-23T02:28:54Z
main entity:
{"identifier":"Q5456251","url":"https://www.wikidata.org/entity/Q5456251"}
image:
fields total:
13
integrity:
14