Volume formulas for a spherical tetrahedron

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    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

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    Keywords

    • Spherical space
    • Tetrahedron
    • Volume

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics

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