On two geometric inequalities

Alice Simon; Peter Volkmann

Published: 1995-09-29

Vol. 9 (1995)

On two geometric inequalities

Alice Simon , Peter Volkmann

Abstract

In inner product spaces the Ptolemaic inequality (1) and the quadrilateral inequality (2) are well known. By using the identity (3), we derive here (2) from (1). The rest of the paper is devoted to some comments on (1), (2), (3).

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Simon, A., & Volkmann, P. (1995). On two geometric inequalities. Annales Mathematicae Silesianae, 9, 137–140. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14213

References

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Alice Simon

Affiliation:

Départment de Mathématiques, Université d'Orléans, France France

Peter Volkmann

Affiliation:

Mathematisches Institut I, Universität Karlsruhe, Germany Germany

Vol. 9 (1995)
Published: 1995-09-29

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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