Dupin's theorem
id:
dupin-s-theorem-190-12613383
title:
Dupin's theorem
text:
In differential geometry Dupin's theorem, named after the French mathematician Charles Dupin, is the statement: The intersection curve of any pair of surfaces of different pencils of a threefold orthogonal system is a curvature line. A threefold orthogonal system of surfaces consists of three pencils of surfaces such that any pair of surfaces out of different pencils intersect orthogonally. The most simple example of a threefold orthogonal system consists of the coordinate planes and their paral
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Dupin%27s_theorem
date created:
date modified:
2023-07-13T18:52:31Z
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/55/Quadriken-orth-flaech-syst.svg","width":310,"height":229}
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13
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14