Abstract

The first geometry other than Euclidean geometry was spherical geometry, or, as the ancients called it, Sphaerica. This geometry appeared after plane and solid Euclidean geometry. The main stimulus for the rise of plane and solid geometry was the need to measure the areas of fields and other plane figures and the capacities of vessels and storehouses of various shapes, that is, the volumes of different solids. The main stimulus for the rise of spherical geometry was the study of the starry heavens.KeywordsGreat CircleSpherical GeometrySpherical TriangleExterior AngleCelestial EquatorThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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