Incenter-excenter lemma
id:
incenter-excenter-lemma-211-3528516
title:
Incenter-excenter lemma
text:
In geometry, the incenter–excenter lemma is the theorem that the line segment between the incenter and any excenter of a triangle, or between two excenters, is the diameter of a circle also passing through two triangle vertices with its center on the circumcircle. This theorem is best known in Russia, where it is called the trillium theorem or trident lemma, based on the geometric figure's resemblance to a trillium flower or trident; these names have sometimes also been adopted in English. These
brand slug:
wiki
category slug:
encyclopedia
description:
A statement about properties of inscribed and circumscribed circles
original url:
https://en.wikipedia.org/wiki/Incenter-excenter_lemma
date created:
2016-01-22T15:08:54Z
date modified:
2024-09-12T00:35:12Z
main entity:
image:
fields total:
13
integrity:
14