Application of Contemporary Proof of the Sforza Formula to Computation of Volumes of Hyperbolic Tetrahedra of Special Kind
- Autores: Krasnov V.A.1
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Afiliações:
- Peoples’ Friendship University of Russia (RUDN University)
- Edição: Volume 65, Nº 4 (2019): Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University
- Páginas: 623-634
- Seção: New Results
- URL: https://journals.rcsi.science/2413-3639/article/view/347199
- DOI: https://doi.org/10.22363/2413-3639-2019-65-4-623-634
- ID: 347199
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Resumo
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.
Sobre autores
V. Krasnov
Peoples’ Friendship University of Russia (RUDN University)
Autor responsável pela correspondência
Email: krasnov_va@rudn.university
Moscow, Russia
Bibliografia
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