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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Additional Information
- Jun Murakami
- Affiliation: Department of Mathematics, Faculty of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan
- MR Author ID: 249930
- Email: murakami@waseda.jp
- Received by editor(s): November 27, 2010
- Received by editor(s) in revised form: March 29, 2011
- Published electronically: January 20, 2012
- Additional Notes: This research was partially supported by Grant-in-Aid for Scientific Research(C) 22540236 from JSPS
- Communicated by: Jianguo Cao
- © Copyright 2012 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 140 (2012), 3289-3295
- MSC (2010): Primary 51M25; Secondary 52A38, 26B15
- DOI: https://doi.org/10.1090/S0002-9939-2012-11182-7
- MathSciNet review: 2917101