Desargues's theorem

id: desargues-s-theorem-194-18260230
title: Desargues's theorem
text: In projective geometry, Desargues's theorem, named after Girard Desargues, states: Denote the three vertices of one triangle by a, b and c, and those of the other by A, B and C. Axial perspectivity means that lines ab and AB meet in a point, lines ac and AC meet in a second point, and lines bc and BC meet in a third point, and that these three points all lie on a common line called the axis of perspectivity. Central perspectivity means that the three lines Aa, Bb and Cc are concurrent, at a poin
brand slug: wiki
category slug: encyclopedia
description: Two triangles are in perspective axially if and only if they are in perspective centrally
original url: https://en.wikipedia.org/wiki/Desargues%27s_theorem
date created:
date modified: 2023-03-29T02:07:48Z
main entity: {"identifier":"Q841893","url":"https://www.wikidata.org/entity/Q841893"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/c/c8/Desargues_theorem_alt.svg","width":578,"height":430}
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