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non-Euclidean

[non-yoo-klid-ee-uh n] /ˌnɒn yuˈklɪd i ən/
adjective
1.
differing from the postulates of Euclid or based upon postulates other than those of Euclid.
Origin
1870-1875
1870-75
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Word Origin and History for noneuclidean

non-Euclidean

1874, from non- + Euclidean.

Online Etymology Dictionary, © 2010 Douglas Harper
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noneuclidean in Science
non-Euclidean
  (nŏn'y-klĭd'ē-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 © 2002. Published by Houghton Mifflin. All rights reserved.
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