hyperbol'ic geom'etry

the branch of non-Euclidean geometry that replaces the parallel postulate of Euclidean geometry with the postulate that two distinct lines may be drawn parallel to a given line through a point not on the given line. Cf. Riemannian geometry.

Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.

hyperbolic functionhyperbolic paraboloid
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