Orthocentric system

id: orthocentric-system-202-1690067
title: Orthocentric system
text: In geometry, an orthocentric system is a set of four points on a plane, one of which is the orthocenter of the triangle formed by the other three. Equivalently, the lines passing through disjoint pairs among the points are perpendicular, and the four circles passing through any three of the four points have the same radius. If four points form an orthocentric system, then each of the four points is the orthocenter of the other three. These four possible triangles will all have the same nine-poin
brand slug: wiki
category slug: encyclopedia
description: 4 planar points which are all orthocenters of triangles formed by the other 3
original url: https://en.wikipedia.org/wiki/Orthocentric_system
date created:
date modified: 2024-04-22T00:33:58Z
main entity: {"identifier":"Q897296","url":"https://www.wikidata.org/entity/Q897296"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/b/be/Orthosystem_SVG.svg","width":852,"height":777}
fields total: 13
integrity: 15

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