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Volume of a tetrahedron revisited. (English) Zbl 1290.65015

Summary: The volume of a tetrahedron is represented in terms of the twelve face angles, inradii of the faces of tetrahedron, circumradii of the faces and the radius of the sphere circumscribing the tetrahedron.

MSC:

65D18 Numerical aspects of computer graphics, image analysis, and computational geometry
51M04 Elementary problems in Euclidean geometries
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References:

[1] M. Berger, Geometry I, Universizext, Springer, Berlin, 1987.;
[2] Y. Cho, Volume of a tetrahedron in terms of dihedral angles and circumradius, Appl.Math. Lett. 13 (2000), 45-47.; · Zbl 0959.51020
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