English

The volume formulas for a spherical tetrahedron

Metric Geometry 2011-05-03 v4

Abstract

The present paper gives two concrete formulas for the volume of an arbitrary spherical tetrahedron, which 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

Cite

@article{arxiv.1011.2584,
  title  = {The volume formulas for a spherical tetrahedron},
  author = {Jun Murakami},
  journal= {arXiv preprint arXiv:1011.2584},
  year   = {2011}
}

Comments

7 pages, typos, change title

R2 v1 2026-06-21T16:42:13.200Z