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Contemporary Mathematics. Fundamental Directions, 2019, Volume 65, Issue 4, Pages 623–634
DOI: https://doi.org/10.22363/2413-3639-2019-65-4-623-634 (Mi cmfd392) 		 
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
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DOI: https://doi.org/10.22363/2413-3639-2019-65-4-623-634
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Document Type: Article
UDC: 514.13+514.132
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Kra19}
\by V.~A.~Krasnov
\paper On application of contemporary proof of the Sforza formula to computation of volumes of hyperbolic tetrahedra of special kind
\inbook Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University
\serial CMFD
\yr 2019
\vol 65
\issue 4
\pages 623--634
\publ RUDN University
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd392}
\crossref{https://doi.org/10.22363/2413-3639-2019-65-4-623-634}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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