  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.
