On the volume formula for hyperbolic tetrahedra (Q1807609): Difference between revisions

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scientific article; zbMATH DE number 1367682

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scientific article; zbMATH DE number 1367682
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On the volume formula for hyperbolic tetrahedra
scientific article; zbMATH DE number 1367682

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    On the volume formula for hyperbolic tetrahedra (English)
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    4 January 2001
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    In this interesting paper the authors present a formula for the volume of an arbitrary tetrahedron in a \(3\)-dimensional hyperbolic space. The formula uses the Lobachevsky function, the six dihedral angles of the tetrahedron and six further values that appear as the solution of a system of equations in terms of the dihedral angles. Several specific cases, including the Coxeter tetrahedra, are discussed in detail.
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    hyperbolic space
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    tetrahedron
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    volume
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