On Application of Contemporary Proof of the Sforza Formula to Computation of Volumes of Hyperbolic Tetrahedra of Special Kind

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 S4) via dihedral angles.

Authors
Publisher
Springer New York LLC
Number of issue
5
Language
English
Pages
791-802
Status
Published
Volume
265
Year
2022
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University)
Date of creation
11.07.2024
Date of change
11.07.2024
Short link
https://repository.rudn.ru/en/records/article/record/155053/
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