# Inverting a Point in the Osculating Circles of a Curve

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Just as the tangent to a curve at a point is the best linear fit there, so the osculating circle is the best circular fit. At that point, the tangents to the osculating circle and the curve coincide, and the curvatures of the curve and the osculating circle are equal.

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Contributed by: George Beck (November 2015)

Open content licensed under CC BY-NC-SA

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"Inverting a Point in the Osculating Circles of a Curve"

http://demonstrations.wolfram.com/InvertingAPointInTheOsculatingCirclesOfACurve/

Wolfram Demonstrations Project

Published: November 9 2015