On the Properties of Curves and Parametrization-Independent Isoperimetric Inequality

Nakasho, Kazuhisa; Shidama, Yasunari

doi:10.2478/forma-2024-0016

Abstract

In this article we formalize in Mizar several properties of curves. We introduce the definition of the ArcLenP function and define arc length parametrization with its fundamental properties. Finally we prove an isoperimetric inequality that holds regardless of the curve’s parametrization.

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On the Properties of Curves and Parametrization-Independent Isoperimetric Inequality

Abstract

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