Miquel's theorem
id:
miquel-s-theorem-271-12095168
title:
Miquel's theorem
text:
Miquel's theorem is a result in geometry, named after Auguste Miquel, concerning the intersection of three circles, each drawn through one vertex of a triangle and two points on its adjacent sides. It is one of several results concerning circles in Euclidean geometry due to Miquel, whose work was published in Liouville's newly founded journal Journal de mathématiques pures et appliquées. Formally, let ABC be a triangle, with arbitrary points A´, B´ and C´ on sides BC, AC, and AB respectively. Dr
brand slug:
wiki
category slug:
encyclopedia
description:
Concerns 3 circles through triples of points on the vertices and sides of a triangle
original url:
https://en.wikipedia.org/wiki/Miquel%27s_theorem
date created:
date modified:
2023-12-27T10:24:18Z
main entity:
{"identifier":"Q2449984","url":"https://www.wikidata.org/entity/Q2449984"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/f/fe/Miquel_Circles.svg","width":250,"height":220}
fields total:
13
integrity:
15