The law of sines for tetrahedra and \(n\)-simplices
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Publication:1246139
DOI10.1007/BF00181352zbMath0375.50008WikidataQ56518498 ScholiaQ56518498MaRDI QIDQ1246139
Publication date: 1978
Published in: Geometriae Dedicata (Search for Journal in Brave)
Related Items (27)
A matrix inequality with weights and its applications ⋮ The sine theorem and inequalities for volumes of simplices and determinants ⋮ An inequality for \(n\)-dimensional sines of vertex angles of a simplex with some applications ⋮ A Weak Compatibility Condition for Newest Vertex Bisection in Any Dimension ⋮ Some geometric inequalities in non-Euclidean space ⋮ Lack of relative monotonicity among various measures of trihedral angles ⋮ The open mouth theorem, or the scissors lemma, for orthocentric tetrahedra ⋮ Estimation of the interpolation error for semiregular prismatic elements ⋮ The minimum angle condition for \(d\)-simplices ⋮ The open mouth theorem in higher dimensions ⋮ On Equivalence of Maximum Angle Conditions for Tetrahedral Finite Element Meshes ⋮ Geometric constructions on cycles in \(\mathbb{R}^n\) ⋮ On angle conditions in the finite element method ⋮ Generalization of the Zlamal condition for simplicial finite elements in \(\mathbb {R}^{d}\) ⋮ On Regularity of Tetrahedral Meshes Produced by Some Red-Type Refinements ⋮ The sum of measures of the angles of a simplex ⋮ On Mesh Regularity Conditions for Simplicial Finite Elements ⋮ On the generalization of the Synge-Křížek maximum angle condition for \(d\)-simplices ⋮ Impurity of the corner angles in certain special families of simplices ⋮ The pons asinorum and related theorems for tetrahedra ⋮ On \(d\)-dimensional \(d\)-semimetrics and simplex-type inequalities for high-dimensional sine functions ⋮ On the Schlafli differential formula based on edge lengths of tetrahedron in \(H^{3}\) and \(S^{3}\) ⋮ Inequalities for two simplices ⋮ Asymptotic analysis of the EPRL model with timelike tetrahedra ⋮ Inequalities for any point and two simplices ⋮ The generalized sine theorem and inequalities for simplices ⋮ Preserved Structure Constants for Red Refinements of Product Elements
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