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The Pons asinorum for tetrahedra

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Publication:1039863
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DOI10.1007/s00022-009-1972-4zbMath1180.51008OpenAlexW1997330570MaRDI QIDQ1039863

Mowaffaq Hajja

Publication date: 23 November 2009

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-009-1972-4


zbMATH Keywords

solid angletrihedral angletetrahedronpons asinorumpolar sinecontent of a solid angleorthocentric tetrahedronsine of a solid angle


Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Metric geometry (51F99) Elementary problems in Euclidean geometries (51M04) Symmetry properties of polytopes (52B15)


Related Items (8)

Orthocentric simplices as the true generalizations of triangles ⋮ Lack of relative monotonicity among various measures of trihedral angles ⋮ The open mouth theorem, or the scissors lemma, for orthocentric tetrahedra ⋮ The open mouth theorem in higher dimensions ⋮ Relations between edge lengths, dihedral and solid angles in tetrahedra ⋮ The sum of measures of the angles of a simplex ⋮ Impurity of the corner angles in certain special families of simplices ⋮ The pons asinorum and related theorems for tetrahedra




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