- 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
Examples from the Web for non-euclidean
For instance, we might know that in non-Euclidean geometries, parallels meet.The Civilization of Illiteracy
But they constitute the substance of non-Euclidean geometry; they are its blood and sinews.
The real basis of the non-Euclidean geometry is dimension as direction.
In their non-Euclidean geometry the part is always greater than the whole.The Open Secret of Ireland
T. M. Kettle
Beltrami's mathematical investigations were devoted mainly to the non-Euclidean geometry.
Word Origin and History for non-euclidean
Online Etymology Dictionary, © 2010 Douglas Harper
- 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 © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.