Proof of the theorem that a surface area of a ball is smaller than of any other body of the same volume, by Hermann Schwarz

Simon Ulka; Leonid G. Fel; Boris Y. Rubinstein

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arXiv · 1512.00734

Proof of the theorem that a surface area of a ball is smaller than of any other body of the same volume, by Hermann Schwarz

Simon Ulka·Leonid G. Fel·Boris Y. Rubinstein

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Abstract

We present English translation of the classical article of Hermann Amadeus Schwarz (1843--1921) "Proof of the theorem that a surface area of a ball is smaller than of any other body of the same volume" which was published in 1884, in Proceedings of the K"onigliche Gesellschaft der Wissenschaften and the Georg-Augusts-Universit"at, G"ottingen. We preserved the author notations throughout the text and tried to follow his grammar construction of the sentences.

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Simon Ulka, Leonid G. Fel, Boris Y. Rubinstein. 2015-12-02. Proof of the theorem that a surface area of a ball is smaller than of any other body of the same volume, by Hermann Schwarz. https://arxiv.org/abs/1512.00734

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