Application of Contemporary Proof of the Sforza Formula to Computation of Volumes of Hyperbolic Tetrahedra of Special Kind
- Authors: Krasnov V.A.1
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Affiliations:
- Peoples’ Friendship University of Russia (RUDN University)
- Issue: Vol 65, No 4 (2019): Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University
- Pages: 623-634
- Section: New Results
- URL: https://journals.rudn.ru/CMFD/article/view/23054
- DOI: https://doi.org/10.22363/2413-3639-2019-65-4-623-634
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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.
About the authors
V. A. Krasnov
Peoples’ Friendship University of Russia (RUDN University)
Author for correspondence.
Email: krasnov_va@rudn.university
Moscow, Russia
References
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