A Simple Proof of Cauchy's Surface Area Formula
Differential Geometry
2016-04-21 v1 Metric Geometry
Probability
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.
Keywords
Cite
@article{arxiv.1604.05815,
title = {A Simple Proof of Cauchy's Surface Area Formula},
author = {Emmanuel Tsukerman and Ellen Veomett},
journal= {arXiv preprint arXiv:1604.05815},
year = {2016}
}
Comments
4 pages, 1 figure