non-Euclidean

[ non-yoo-klid-ee-uh n ]
/ ˌnɒn yuˈklɪd i ən /

adjective

differing from the postulates of Euclid or based upon postulates other than those of Euclid.

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Origin of non-Euclidean

First recorded in 1870–75
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020

Example sentences from the Web for non-euclidean

Scientific definitions for non-euclidean

non-Euclidean
[ nŏn′yōō-klĭdē-ən ]

Relating to any of several modern geometries that are based on a set of postulates other than the set proposed by Euclid, especially one in which all of the postulates of Euclidean geometry hold except the parallel postulate. Compare Euclidean.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.