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An Isoperimetric Inequality for Tetrahedra

Published online by Cambridge University Press:  20 November 2018

Z.A. Melzak
Z.A. Melzak*
Affiliation:
The University of British Columbia
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Let T be a tetrahedron and let V(T) and L(T) denote its volume and the sum of its edge-lengths. In this note we prove

Theorem 1.

with equality if and only if the tetrahedron T is regular.

Type
Notes and Problems
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 5 , December 1966 , pp. 667 - 669
Copyright
Copyright © Canadian Mathematical Society 1966