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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. 2017.
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Examples from the Web for non-Euclidean
Historical Examples
• But they constitute the substance of non-Euclidean geometry; they are its blood and sinews.

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

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

• It involves the theory of non-Euclidean geometry, Euclid's postulate of parallels being used in proving this theorem.

Augustus de Morgan
• What is interesting, however, is not his fallacious conclusion, but the non-Euclidean results which he obtains in the process.

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

• Permit me for brevity to call such a movement a non-Euclidean displacement.

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

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

Robert T. Browne
• But it is not enough that the Euclidean (or non-Euclidean) geometry can never be directly contradicted by experience.

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
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### Difficulty index for non-Euclidean

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