Evolute
id:
evolute-185-15815139
title:
Evolute
text:
In the differential geometry of curves, the evolute of a curve is the locus of all its centers of curvature. That is to say that when the center of curvature of each point on a curve is drawn, the resultant shape will be the evolute of that curve. The evolute of a circle is therefore a single point at its center. Equivalently, an evolute is the envelope of the normals to a curve. The evolute of a curve, a surface, or more generally a submanifold, is the caustic of the normal map. Let M be a smoo
brand slug:
wiki
category slug:
encyclopedia
description:
Centers of curvature of a curve
original url:
https://en.wikipedia.org/wiki/Evolute
date created:
2004-07-19T14:25:06Z
date modified:
2024-09-07T21:54:50Z
main entity:
{"identifier":"Q658654","url":"https://www.wikidata.org/entity/Q658654"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/8/87/Evolute-parab-1-e.svg","width":367,"height":247}
fields total:
13
integrity:
16