### 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 | |

Publication status | Published - 2012 Sep |

### Fingerprint

### Keywords

- Spherical space
- Tetrahedron
- Volume

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

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

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 140, no. 9, pp. 3289-3295. https://doi.org/10.1090/S0002-9939-2012-11182-7

}

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 -