Abstract
In this paper, we derive the Derevnin–Mednykh integral expression for the volume of a hyperbolic tetrahedron in terms of dihedral angles from the Murakami–Yano expression. As a consequence, we derive an expression for the volume of a hyperbolic tetrahedron in terms of edge lengths.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 49, Proceedings of the Crimean Autumn Mathematical School-Symposium, 2013.
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Krasnov, V.A. On Integral Expressions for Volumes of Hyperbolic Tetrahedra. J Math Sci 211, 531–541 (2015). https://doi.org/10.1007/s10958-015-2616-x
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DOI: https://doi.org/10.1007/s10958-015-2616-x