On Cesàro triangles and spherical polygons

DOI10.1007/s00010-021-00820-yzbMath1492.51008OpenAlexW3167967909MaRDI QIDQ2123715

Hiroshi Maehara, Horst Martini

Publication date: 14 April 2022

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-021-00820-y

zbMATH Keywords

spherical geometryisoperimetric problemstereographic projectionspherical polygonsCesàro's triangleGirard's theoremLexell's theorem

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Elementary problems in Euclidean geometries (51M04) Inequalities and extremum problems in real or complex geometry (51M16) Elementary problems in hyperbolic and elliptic geometries (51M09)

Cites Work

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• Geometry of surfaces
• Lexell's theorem via stereographic projection
• Divided Spheres
• The Geometry of Celestial Mechanics
• On Lexell’s Theorem
• Bodies of Constant Width
• Portraits of the Earth
• Heavenly Mathematics
• Geometry Revealed
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy
• Lie sphere geometry. With applications to submanifolds

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