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arXiv · 0711.1670

Length of parallel curves

Enrique Macias Virgós
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Abstract

We prove that the length difference between a closed periodic curve and its parallel curve at a sufficiently small distance is proportional to the rotation index. As an application, the rotation index of a curve could be estimated by means of Cauchy-Crofton formula.

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Enrique Macias Virgós. 2007-11-11. Length of parallel curves. https://arxiv.org/abs/0711.1670

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