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non-Euclidean

[non-yoo-klid-ee-uh n] /ˌnɒn yuˈklɪd i ən/
1.
differing from the postulates of Euclid or based upon postulates other than those of Euclid.
Origin of non-Euclidean
1870-1875
First recorded in 1870-75
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2018.
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Examples from the Web for non-Euclidean
Historical Examples
• 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.

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

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

T. M. Kettle
• Beltrami's mathematical investigations were devoted mainly to the non-Euclidean geometry.

Robert T. Browne
• The term "non-Euclidean" is used to designate any system of geometry which is not strictly Euclidean in content.

Robert T. Browne
• It involves the theory of non-Euclidean geometry, Euclid's postulate of parallels being used in proving this theorem.

Augustus de Morgan
• On this postulate hang all the "law and the prophets" of the non-Euclidean Geometry.

Robert T. Browne
• A special application of his theory of continuous groups was to the general problem of non-Euclidean geometry.

• Lobachevski has proved not, by creating non-Euclidean geometry.

Word Origin and History for non-Euclidean

1874, from non- + Euclidean.

Online Etymology Dictionary, © 2010 Douglas Harper
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non-Euclidean 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