Volume formulas for a spherical tetrahedron

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10 Citations (Scopus)

Abstract

The present paper gives two concrete formulas for the volume of an arbitrary spherical tetrahedron that is in a 3-dimensional spherical space of constant curvature +1. One formula is given in terms of dihedral angles, and another one is given in terms of edge lengths.

Original languageEnglish
Pages (from-to)3289-3295
Number of pages7
JournalProceedings of the American Mathematical Society
Volume140
Issue number9
DOIs
Publication statusPublished - 2012 Sep 1

Keywords

  • Spherical space
  • Tetrahedron
  • Volume

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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