Menelaus's theorem
id:
menelaus-s-theorem-282-12987095
title:
Menelaus's theorem
text:
In Euclidean geometry, Menelaus's theorem, named for Menelaus of Alexandria, is a proposition about triangles in plane geometry. Suppose we have a triangle △ABC, and a transversal line that crosses BC, AC, AB at points D, E, F respectively, with D, E, F distinct from A, B, C. A weak version of the theorem states that where "| |" denotes absolute value. The theorem can be strengthened to a statement about signed lengths of segments, which provides some additional information about the relative or
brand slug:
wiki
category slug:
encyclopedia
description:
Geometric relation on line segments formed by a line cutting through a triangle
original url:
https://en.wikipedia.org/wiki/Menelaus%27s_theorem
date created:
date modified:
2024-02-17T09:55:09Z
main entity:
{"identifier":"Q193882","url":"https://www.wikidata.org/entity/Q193882"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/a/a5/Menelaus%27_theorem_1.svg","width":512,"height":242}
fields total:
13
integrity:
15