non-Euclidean

[non-yoo-klid-ee-uh n]

adjective

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

Origin of non-Euclidean

First recorded in 1870–75

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

For instance, we might know that in non-Euclidean geometries, parallels meet.
The Civilization of Illiteracy
Mihai Nadin
The real basis of the non-Euclidean geometry is dimension as direction.
The Mystery of Space
Robert T. Browne
But they constitute the substance of non-Euclidean geometry; they are its blood and sinews.
The Mystery of Space
Robert T. Browne
In their non-Euclidean geometry the part is always greater than the whole.
The Open Secret of Ireland
T. M. Kettle
The term "non-Euclidean" is used to designate any system of geometry which is not strictly Euclidean in content.
The Mystery of Space
Robert T. Browne

1874, from non- + Euclidean.

non-euclidean in Science

[nŏn′yōō-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.