Orthopole

id: orthopole-289-12566718
title: Orthopole
text: In geometry, the orthopole of a system consisting of a triangle ABC and a line ℓ in the same plane is a point determined as follows. Let A ′, B ′, C ′ be the feet of perpendiculars dropped on ℓ from A, B, C respectively. Let A ′′, B ′′, C ′′ be the feet of perpendiculars dropped from A ′, B ′, C ′ to the sides opposite A, B, C (respectively) or to those sides' extensions. Then the three lines A ′ A ′′, B ′ B ′′, C ′ C ′′, are concurrent. The point at which they concur is the orthopole. Due to th
brand slug: wiki
category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Orthopole
date created:
date modified: 2023-09-10T01:28:50Z
main entity: {"identifier":"Q30592835","url":"https://www.wikidata.org/entity/Q30592835"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/22/Orthopole.svg","width":478,"height":337}
fields total: 13
integrity: 14

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