Volume formulas for a spherical tetrahedron

Jun Murakami

doi:10.1090/S0002-9939-2012-11182-7

Volume formulas for a spherical tetrahedron

Jun Murakami^*

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

15 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 language	English
Pages (from-to)	3289-3295
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	140
Issue number	9
DOIs	https://doi.org/10.1090/S0002-9939-2012-11182-7
Publication status	Published - 2012 Sept

Keywords

Spherical space
Tetrahedron
Volume

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-2012-11182-7

Cite this

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title = "Volume formulas for a spherical tetrahedron",

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KW - Tetrahedron

KW - Volume

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JF - Proceedings of the American Mathematical Society

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Volume formulas for a spherical tetrahedron

Abstract

Keywords

ASJC Scopus subject areas

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