An equality for the curvature function of a simple, closed curve on the plane

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An equality for the curvature function of a simple, closed curve on the plane

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Ou, Biao

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2002-09

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We prove an equality for the curvature function of a simple, closed curve on the plane. This equality leads to another proof of the four-vertex theorem in differential geometry.

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Institute for Mathematics and Its Applications>IMA Preprints Series

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Ou, Biao. (2002). An equality for the curvature function of a simple, closed curve on the plane. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3828.

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