Papers › A Simple Proof of Cauchy's Surface Area Formula

A Simple Proof of Cauchy's Surface Area Formula

20 Apr 2016arXiv:1604.05815links table onlyarchive 2025-07-28

Emmanuel Tsukerman, Ellen Veomett

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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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