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WordNet-Online
Definitions from WordNet | ||||
Definitions from the WebHyperbolic GeometryDescription:Hyperbolic geometry is a non-Euclidean geometry that explores the properties of curved spaces. It is characterized by the negation of the parallel postulate, stating that through a given point, more than one line can be drawn parallel to a given line. In hyperbolic geometry, the sum of the angles in a triangle is always less than 180 degrees, and the shapes formed may appear distorted or stretched. Sample Sentences:Sense 1: Mathematical ConceptIn hyperbolic geometry, the shortest distance between two points is not a straight line, but rather a curved path. Understanding hyperbolic geometry is essential for advanced studies in non-Euclidean mathematics. Sense 2: Artistic RepresentationThe artist's painting depicted a surreal and exaggerated landscape inspired by hyperbolic geometry. The sculpture showcased intricate shapes and patterns inspired by hyperbolic geometry. Sense 3: Scientific ResearchScientists are exploring hyperbolic geometry to better understand the behavior of certain physical phenomena. Hyperbolic geometry has found applications in fields like architecture, computer graphics, and optics. Possible Related Products: | ||||
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