A Simple Proof of Cauchy's Surface Area Formula

Emmanuel Tsukerman; Ellen Veomett

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arXiv · 1604.05815

A Simple Proof of Cauchy's Surface Area Formula

Emmanuel Tsukerman·Ellen Veomett

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Abstract

We give a short and simple proof of Cauchy's surface area formula, which states that the average area of a projection of a convex body is equal to its surface area up to a multiplicative constant in the dimension.

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Emmanuel Tsukerman, Ellen Veomett. 2016-04-20. A Simple Proof of Cauchy's Surface Area Formula. https://arxiv.org/abs/1604.05815

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