Browse > Article
http://dx.doi.org/10.5831/HMJ.2013.35.1.17

VOLUME FORMULAS OF A EUCLIDEAN TETRAHEDRON  

Park, Joon Suk (Department of Physics, Yonsei University)
Cho, Yunhi (Department of Mathematics, University of Seoul)
Publication Information
Honam Mathematical Journal / v.35, no.1, 2013 , pp. 17-27 More about this Journal
Abstract
We survey and study several volume formulas of a Euclidean tetrahedron.
Keywords
Euclidean tetrahedron; volume formula;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Cho, Jinsok, The Volume of a Tetrahedron, College Math. J, 32:4 (2001), 294-296.   DOI   ScienceOn
2 Cho, Yunhi, Volume of a tetrahedron in terms of dihedral angles and circumradius, Appl. Math. Lett. 13:4 (2000), 45-47.
3 Coxeter, H. S. M., Discrete groups generated by reflections, Ann. of Math. 35:3 (1934), 588-621.   DOI
4 Dove, K. L. and Sumner, J. S., Tetrahedra with Integer Edges and Integer Volume, Math. Mag. 65 (1992), 104-111.   DOI
5 Mihai, Vasile and Zhou, Li, A Tetrahedron with All Faces Congruent:10934, Amer. Math. Monthly 110:9 (2003), 846-847.   DOI
6 Smith, C., An Elementary Treatise on Solid Geometry, 11th ed., Macmillan and Co., New York (1907).
7 Smith, H. L., Note on the Volume of a Tetrahedron, Math. News Lett. 6:4 (1932), 23-24.
8 Srinivasan, V. K., Computation techniques for the volume of a tetrahedron, International J. of Mathematical Education in Science and Technology 41:7 (2010), 979-990.   DOI   ScienceOn
9 Townes, S. B., Classroom Notes: The Volume of a Tetrahedron as a Determinant, Amer. Math. Monthly 63:8 (1956), 574-575.
10 Berger, Marcel, Geometry I, Universitext, Springer-Verlag, Berlin (1987).
11 Cho, E. C., The Volume of a Tetrahedron, Appl. Math. Lett. 8:2 (1995), 71-73.