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

2015/12/02 by Simon Ulka, Ulka, Simon, Leonid G. Fel +4
Mathematics · #FOS: Mathematics #History and Overview (math.HO) #History and Theory of Mathematics #Mathematics and Applications #math.HO

paper · pdf · doi:10.48550/arxiv.1512.00734

10 pages

arxiv created 2015/12/02 · openalex publication_date 2015/12/02 · arxiv updated 2015/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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