In 1841, Cauchy expressed the perimeter of a compact convex set K in the plane \({\mathbb R}^2\) as an average of projection lengths onto lines.

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Introduction

  • Eva B. Vedel Jensen,
  • Markus Kiderlen

摘要

In 1841, Cauchy expressed the perimeter of a compact convex set K in the plane \({\mathbb R}^2\) as an average of projection lengths onto lines.