Erdős–Mordell inequality
id:
erd-s-mordell-inequality-312-12871312
title:
Erdős–Mordell inequality
text:
In Euclidean geometry, the Erdős–Mordell inequality states that for any triangle ABC and point P inside ABC, the sum of the distances from P to the sides is less than or equal to half of the sum of the distances from P to the vertices. It is named after Paul Erdős and Louis Mordell. Erdős (1935) posed the problem of proving the inequality; a proof was provided two years later by Mordell and D. F. Barrow (1937). This solution was however not very elementary. Subsequent simpler proofs were then fo
brand slug:
wiki
category slug:
encyclopedia
description:
On sums of distances in triangles
original url:
https://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Mordell_inequality
date created:
date modified:
2024-03-02T17:26:25Z
main entity:
{"identifier":"Q990530","url":"https://www.wikidata.org/entity/Q990530"}
image:
fields total:
13
integrity:
14