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arxiv: 1604.05815 · v1 · pith:NO23UUP4new · submitted 2016-04-20 · 🧮 math.DG · math.MG· math.PR

A Simple Proof of Cauchy's Surface Area Formula

Emmanuel Tsukerman , Ellen Veomett This is my paper
classification 🧮 math.DG math.MGmath.PR
keywords areasurfacecauchyformulaproofsimpleaveragebody
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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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