Contemporary Mathematics. Fundamental Directions
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Publishing Ethics

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


CMFD:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (484 kB) Citations (1)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/cmfd392
  • https://www.mathnet.ru/eng/cmfd/v65/i4/p623
    • 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
    		Современная математика. Фундаментальные направления
    Statistics & downloads:
    Abstract page:146
    Full-text PDF :56
    References:18
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024