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Meaning of non-Euclidean geometry

non'-Euclid'ean geom'etry

Pronunciation: [key]
  1. geometry based upon one or more postulates that differ from those of Euclid, esp. from the postulate that only one line may be drawn through a given point parallel to a given line.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.