, Volume 47, Issue 4, pp 687-695

Elementary formulas for a hyperbolic tetrahedron

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Abstract

We derive some elementary formulas expressing the relation between the dihedral angles and edge lengths of a tetrahedron in hyperbolic space.

Original Russian Text Copyright © 2006 Mednykh A. D. and Pashkevich M. G.
The authors were supported by the Russian Foundation for Basic Research (Grant 06-01-00153), the INTAS (Grant 03-51-3663), the Project Fondecyt (Grants 7050189 and 1060378), and the Grant-in-Aid 17-05045 of the Japan Society for the Promotion of Sciences.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 4, pp. 831–841, July–August, 2006.