Lemoine point
id:
lemoine-point-5-116055
title:
Lemoine point
text:
In geometry, the Lemoine point, Grebe point or symmedian point is the intersection of the three symmedians of a triangle. Ross Honsberger called its existence "one of the crown jewels of modern geometry". In the Encyclopedia of Triangle Centers the symmedian point appears as the sixth point, X(6). For a non-equilateral triangle, it lies in the open orthocentroidal disk punctured at its own center, and could be any point therein. The symmedian point of a triangle with side lengths a, b and c has
brand slug:
wiki
category slug:
encyclopedia
description:
Intersection of the three symmedian lines of a triangle
original url:
https://en.wikipedia.org/wiki/Lemoine_point
date created:
date modified:
2022-12-20T13:36:33Z
main entity:
{"identifier":"Q940537","url":"https://www.wikidata.org/entity/Q940537"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/9/9a/Lemoine_punkt.svg","width":345,"height":264}
fields total:
13
integrity:
15