FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1996, VOLUME 2, NUMBER 1, PAGES 305-307

The polyhedron's volume as a function of length of its edges

I. Kh. Sabitov

Abstract

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It is shown that the volume of a sphere type polyhedron may be calculated as a root of a polynomial with coefficients depending only on the polyhedron's metric and hence for these polyhedra the volume invariance hypothesis is established.

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