Volume formulas for a spherical tetrahedron

Murakami, Jun

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

Volume formulas for a spherical tetrahedron
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by Jun Murakami PDF

Proc. Amer. Math. Soc. 140 (2012), 3289-3295 Request permission

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.

References

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