Area and volume in non-Euclidean geometry

DOI10.4171/196-1/11zbMath1416.51020OpenAlexW2916890908MaRDI QIDQ2418616

Alexander Mednykh, Nikolaĭ Vladimirovich Abrosimov

Publication date: 28 May 2019

Full work available at URL: https://doi.org/10.4171/196-1/11

zbMATH Keywords

volumeareanon-Euclidean geometrytetrahedronPtolemy's theoremcyclic quadrilateralCasey's theoremSforza's formulaBrahmagupta's theoremBretschneider's formulaHeron's theoremnon-Euclidean octahedra with symmetriesSeidel's problem

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Length, area and volume in real or complex geometry (51M25)

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