D. A. Derevnin, A. D. Mednykh, M. G. Pashkevich, “On the volume of a symmetric tetrahedron in hyperbolic and spherical spaces”, Sibirsk. Mat. Zh., 2004, Volume 45, Number 5,Pages <nobr>1022

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On the volume of a symmetric tetrahedron in hyperbolic and spherical spaces

D. A. Derevnin^a, A. D. Mednykh^b, M. G. Pashkevich^a

^a Novosibirsk State University, Mechanics and Mathematics Department
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We obtain some elementary formulas for the volume of a symmetric tetrahedron in hyperbolic and spherical spaces.

Keywords: hyperbolic tetrahedron, spherical tetrahedron, volume formula, Gram matrix.

UDC: 514.13, 514.132

Received: 17.04.2003