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

1870–75 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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American Heritage
Science Dictionary
non-Euclidean   (nŏn'y-klĭd'ē-ən)  Pronunciation Key 
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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