Lack of relative monotonicity among various measures of trihedral angles

DOI10.1007/s00022-012-0120-8zbMath1261.51012OpenAlexW2077484384MaRDI QIDQ1926123

Mowaffaq Hajja

Publication date: 27 December 2012

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

Full work available at URL: https://doi.org/10.1007/s00022-012-0120-8

zbMATH Keywords

gradientsolid angletrihedral anglespherical triangleopen mouth theorempolar sinesine of a solid anglemeasure of a solid anglepons asinorum theorem

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (1)

The open mouth theorem, or the scissors lemma, for orthocentric tetrahedra

Cites Work

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• The open mouth theorem in higher dimensions
• The Pons asinorum for tetrahedra
• The law of sines for tetrahedra and \(n\)-simplices
• The open mouth theorem, or the scissors lemma, for orthocentric tetrahedra
• The Pons Asinorum in higher dimensions
• On Nonnegativity of Symmetric Polynomials
• On the Fermat-Torricelli Points of Tetrahedra and of Higher Dimensional Simplexes
• On the Measure of Solid Angles

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