non-Euclidean

[ non-yoo-klid-ee-uhn ]

adjective

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

non-Euclidean

/ nŏn′yo̅o̅-klĭd′ē-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 .
2. Compare Euclidean

Word History and Origins

Origin of non-Euclidean¹

First recorded in 1870–75

Example Sentences

The real basis of the non-Euclidean geometry is dimension as direction.

From Project Gutenberg

But they constitute the substance of non-Euclidean geometry; they are its blood and sinews.

From Project Gutenberg

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

From Project Gutenberg

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

From Project Gutenberg

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

From Project Gutenberg