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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.
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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. 2018

Examples from the Web for non-euclidean

Historical Examples

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

    The Civilization of Illiteracy

    Mihai Nadin

  • 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.

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Online Etymology Dictionary, © 2010 Douglas Harper

non-euclidean in Science

non-Euclidean

[nŏn′yōō-klĭdē-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.
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The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.