Ptolemy's inequality
id:
ptolemy-s-inequality-249-4114479
title:
Ptolemy's inequality
text:
In Euclidean geometry, Ptolemy's inequality relates the six distances determined by four points in the plane or in a higher-dimensional space. It states that, for any four points A, B, C, and D, the following inequality holds: It is named after the Greek astronomer and mathematician Ptolemy. The four points can be ordered in any of three distinct ways to form three different quadrilaterals, for each of which the sum of the products of opposite sides is at least as large as the product of the dia
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Ptolemy%27s_inequality
date created:
date modified:
2023-11-09T18:52:48Z
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/4/4c/Ptolemy_Inequality.svg","width":512,"height":512}
fields total:
13
integrity:
14