Abstract
VOUK1, in a letter in Nature, gave a proof of Cauchy's theorem that the average area of projection of a convex body on a plane equals one-quarter the surface area of the body. The following less formal version of the proof may appeal more to non-mathematicians.
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Vouk, V., Nature, 162, 331 (1948).
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MELTZER, B. Shadow Area of Convex Bodies. Nature 163, 220 (1949). https://doi.org/10.1038/163220b0
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DOI: https://doi.org/10.1038/163220b0
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