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The circle with at least second-order [[Osculation|osculation]] with a curve at a given point. The centre of the circle of curvature is called the centre of curvature of the curve at the given point, and its radius is called the radius of curvature. The circle of curvature lies in the osculating plane of the curve.

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How to Cite This Entry:
Circle of curvature. BSE-3 (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Circle_of_curvature&oldid=11966

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098

Retrieved from "https://encyclopediaofmath.org/wiki/Circle_of_curvature"