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An Osculating Circle for Various Curvatures

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The curvature, , is the extent to which a curve deviates from being flat. The radius of the circle of best fit to the curve (the osculating circle) is equal to. As curvature approaches zero, the curve becomes closer and closer to a straight line.

Contributed by: Nader Al-Naji (March 2011)
Open content licensed under CC BY-NC-SA

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