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non-Euclidean

[non-yoo-klid-ee-uh n]
adjective
  1. differing from the postulates of Euclid or based upon postulates other than those of Euclid.

Origin of non-Euclidean

First recorded in 1870–75
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

Examples from the Web for non-euclidean

Historical Examples of non-euclidean

  • For instance, we might know that in non-Euclidean geometries, parallels meet.

  • But they constitute the substance of non-Euclidean geometry; they are its blood and sinews.

    The Mystery of Space

    Robert T. Browne

  • The real basis of the non-Euclidean geometry is dimension as direction.

    The Mystery of Space

    Robert T. Browne

  • In their non-Euclidean geometry the part is always greater than the whole.

  • Beltrami's mathematical investigations were devoted mainly to the non-Euclidean geometry.

    The Mystery of Space

    Robert T. Browne

Word Origin and History for non-euclidean

non-Euclidean

1874, from non- + Euclidean.

Online Etymology Dictionary, © 2010 Douglas Harper
non-euclidean in Science

non-Euclidean

[nŏn′yōō-klĭd′ē-ən]
  1. 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.