the act of taking possession of or power over something; "his assumption of office coincided with the trouble in Cuba"; "the Nazi assu…
Its definition shares important concepts with this word: mathematics, non-euclidean, geometry, parallel, axiom.
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Hyperbolic geometry
(mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane; "Karl Gauss pioneered hyperbolic geometry"
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