Center of curvature

id: center-of-curvature-167-6668661
title: Center of curvature
text: In geometry, the center of curvature of a curve is a point located at a distance from the curve equal to the radius of curvature lying on the curve normal vector. It is the point at infinity if the curvature is zero. The osculating circle to the curve is centered at the centre of curvature. Cauchy defined the center of curvature C as the intersection point of two infinitely close normal lines to the curve. The locus of centers of curvature for each point on the curve comprise the evolute of the
brand slug: wiki
category slug: encyclopedia
description: Center of the circle which best approximates a curve at a given point
original url: https://en.wikipedia.org/wiki/Center_of_curvature
date created: 2006-07-03T20:03:26Z
date modified: 2024-08-30T13:04:23Z
main entity: {"identifier":"Q3775868","url":"https://www.wikidata.org/entity/Q3775868"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/9/92/Concave_mirror_qwertyxp2000.png","width":507,"height":401}
fields total: 13
integrity: 16

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