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Part of the book series: Lectures in Mathematics. ETH Zürich ((LM))

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Abstract

For a curve Г in a plane, and for any point on this curve, there exists a circle (or a straight line) which is the best approximation at this point of the curve up to third order. The inverse of its radius if the best approximation is a straight line) is called the curvature of the curve at the given point.

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© 2001 Springer Basel AG

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Hélein, F. (2001). Introduction: Surfaces with prescribed mean curvature. In: Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems. Lectures in Mathematics. ETH Zürich. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8330-6_1

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  • DOI: https://doi.org/10.1007/978-3-0348-8330-6_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-6576-9

  • Online ISBN: 978-3-0348-8330-6

  • eBook Packages: Springer Book Archive

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