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VOLUME FORMULAS OF A EUCLIDEAN TETRAHEDRON
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  • Journal title : Honam Mathematical Journal
  • Volume 35, Issue 1,  2013, pp.17-27
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2013.35.1.17
 Title & Authors
VOLUME FORMULAS OF A EUCLIDEAN TETRAHEDRON
Park, Joon Suk; Cho, Yunhi;
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 Abstract
We survey and study several volume formulas of a Euclidean tetrahedron.
 Keywords
Euclidean tetrahedron;volume formula;
 Language
English
 Cited by
 References
1.
Berger, Marcel, Geometry I, Universitext, Springer-Verlag, Berlin (1987).

2.
Cho, E. C., The Volume of a Tetrahedron, Appl. Math. Lett. 8:2 (1995), 71-73.

3.
Cho, Jinsok, The Volume of a Tetrahedron, College Math. J, 32:4 (2001), 294-296. crossref(new window)

4.
Cho, Yunhi, Volume of a tetrahedron in terms of dihedral angles and circumradius, Appl. Math. Lett. 13:4 (2000), 45-47.

5.
Coxeter, H. S. M., Discrete groups generated by reflections, Ann. of Math. 35:3 (1934), 588-621. crossref(new window)

6.
Dove, K. L. and Sumner, J. S., Tetrahedra with Integer Edges and Integer Volume, Math. Mag. 65 (1992), 104-111. crossref(new window)

7.
Mihai, Vasile and Zhou, Li, A Tetrahedron with All Faces Congruent:10934, Amer. Math. Monthly 110:9 (2003), 846-847. crossref(new window)

8.
Smith, C., An Elementary Treatise on Solid Geometry, 11th ed., Macmillan and Co., New York (1907).

9.
Smith, H. L., Note on the Volume of a Tetrahedron, Math. News Lett. 6:4 (1932), 23-24.

10.
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. crossref(new window)

11.
Townes, S. B., Classroom Notes: The Volume of a Tetrahedron as a Determinant, Amer. Math. Monthly 63:8 (1956), 574-575.