CALCULUS Understanding Its Concepts and Methods
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The circle that best fits a curve at a particular point is called the osculating circle at that point.
Here is an osculating circle for the parametric curve (cos 2t, sin3t) at the point where t = 1/2:
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Radius of curvature
Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.