Euclidean
or Eu·clid·i·an
of or relating to Euclid, or adopting his postulates.
Origin of Euclidean
1Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2024
How to use Euclidean in a sentence
We might seek explanations, invoke the hypotheses of the fourth dimension, or discuss the non-Euclidian geometry.
Mysterious Psychic Forces | Camille FlammarionThere is no sect in geometry; we never say: A Euclidian, an Archimedian.
A Philosophical Dictionary, Volume 9 (of 10) | Franois-Marie Arouet (AKA Voltaire)It may, at first sight, seem singular that this conception finds no place in the Euclidian system.
There are no sects in geometry; one does not speak of a Euclidian, an Archimedean.
Voltaire's Philosophical Dictionary | VoltaireMadison and his assistants marched out in orthodox Euclidian triangle formation.
Measure for a Loner | James Judson Harmon
Scientific definitions for Euclidean
[ yōō-klĭd′ē-ən ]
Relating to geometry of plane figures based on the five postulates (axioms) of Euclid, involving the derivation of theorems from those postulates. The five postulates are: 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment, a circle can be drawn having the line segment as radius and an endpoint as center. 4. All right angles are congruent. 5. (Also called the parallel postulate.) If two lines are drawn that intersect a third in such a way that the sum of inner angles on one side is less than the sum of two right triangles, then the two lines will intersect each other on that side if the lines are extended far enough. Compare non-Euclidean.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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