Volume formulas for a spherical tetrahedron

Jun Murakami*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


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
Issue number9
Publication statusPublished - 2012 Sept


  • Spherical space
  • Tetrahedron
  • Volume

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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