Volume formulas for a spherical tetrahedron

    Research output: Contribution to journalArticle

    9 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

    Fingerprint

    Volume formula
    Triangular pyramid
    Dihedral angle
    Concretes
    Curvature
    Arbitrary

    Keywords

    • Spherical space
    • Tetrahedron
    • Volume

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics

    Cite this

    Volume formulas for a spherical tetrahedron. / Murakami, Jun.

    In: Proceedings of the American Mathematical Society, Vol. 140, No. 9, 09.2012, p. 3289-3295.

    Research output: Contribution to journalArticle

    @article{66a38141565e43aea26485bb8e165587,
    title = "Volume formulas for a spherical tetrahedron",
    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.",
    keywords = "Spherical space, Tetrahedron, Volume",
    author = "Jun Murakami",
    year = "2012",
    month = "9",
    doi = "10.1090/S0002-9939-2012-11182-7",
    language = "English",
    volume = "140",
    pages = "3289--3295",
    journal = "Proceedings of the American Mathematical Society",
    issn = "0002-9939",
    publisher = "American Mathematical Society",
    number = "9",

    }

    TY - JOUR

    T1 - Volume formulas for a spherical tetrahedron

    AU - Murakami, Jun

    PY - 2012/9

    Y1 - 2012/9

    N2 - 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.

    AB - 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.

    KW - Spherical space

    KW - Tetrahedron

    KW - Volume

    UR - http://www.scopus.com/inward/record.url?scp=84861387332&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84861387332&partnerID=8YFLogxK

    U2 - 10.1090/S0002-9939-2012-11182-7

    DO - 10.1090/S0002-9939-2012-11182-7

    M3 - Article

    AN - SCOPUS:84861387332

    VL - 140

    SP - 3289

    EP - 3295

    JO - Proceedings of the American Mathematical Society

    JF - Proceedings of the American Mathematical Society

    SN - 0002-9939

    IS - 9

    ER -