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This article is cited in 1 scientific paper (total in 1 paper)
On application of contemporary proof of the Sforza formula to computation of volumes of hyperbolic tetrahedra of special kind
V. A. Krasnov Peoples' Friendship University of Russia (RUDN University), Moscow, Russia
Abstract:
In this paper, we use the contemporary proof (by Abrosimov and
Mednykh) of the Sforza formula for volume of an arbitrary
non-Euclidean tetrahedron to derive new formulas that express
volumes of hyperbolic tetrahedra of special kind (orthoschemes and
tetrahedra with the symmetry group $S_4$) via dihedral angles.
Citation:
V. A. Krasnov, “On application of contemporary proof of the Sforza formula to computation of volumes of hyperbolic tetrahedra of special kind”, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, CMFD, 65, no. 4, RUDN University, M., 2019, 623–634
Linking options:
https://www.mathnet.ru/eng/cmfd392 https://www.mathnet.ru/eng/cmfd/v65/i4/p623
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Abstract page: | 146 | Full-text PDF : | 56 | References: | 18 |
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