How To Use Hyperbolic geometry In A Sentence

• Karl Gauss pioneered hyperbolic geometry
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• Among closed surfaces, spherical, flat, and hyperbolic geometry are mutually exclusive.
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• Moreover, the geometries axiomatized in the book have consistent and decidable extensions, namely, Euclidean or hyperbolic geometry over real-closed fields.
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• Around this time Menger's interests in mathematics broadened and he began to work on hyperbolic geometry, probabilistic geometry and the algebra of functions.
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• Her efforts combined tools as diverse as hyperbolic geometry, classical methods of automorphic forms and symplectic reduction to obtain results on three different mathematical questions. Princeton University Top Stories
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