On the works of Euler and his followers on spherical geometry

zbMath1329.01027arXiv1409.4736MaRDI QIDQ2948668

Athanase Papadopoulos

Publication date: 6 October 2015

Full work available at URL: https://arxiv.org/abs/1409.4736

zbMATH Keywords

cartographyspherical geometrycalculus of variationsEulerspherical trigonometryLexell theorem

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) Surfaces in Euclidean and related spaces (53A05) History of convex and discrete geometry (52-03) Non-Euclidean differential geometry (53A35) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02)

Related Items (8)

Spherical Geometry—A Survey on Width and Thickness of Convex Bodies ⋮ On Lexell’s Theorem ⋮ Diameter, width and thickness of spherical reduced convex bodies with an application to Wulff shapes ⋮ “A Most Elegant Property”: On the Early History of Lexell’s Theorem ⋮ On hyperbolic analogues of some classical theorems in spherical geometry ⋮ From Euclid to Riemann and Beyond: How to Describe the Shape of the Universe ⋮ Poincaré’s Geometric Worldview and Philosophy ⋮ When is a spherical body of constant diameter of constant width?

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