# Euclidean

### or Eu·clid·i·an

[ yoo-klid-ee-uhn ]

/ yuˈklɪd i ən /

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adjective

of or relating to Euclid, or adopting his postulates.

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## Origin of Euclidean

## Words nearby Euclidean

euchromatin, euchromosome, Eucken, euclase, Euclid, Euclidean, Euclidean algorithm, Euclidean geometry, Euclidean group, Euclidean space, eucrite

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

## How to use Euclidean in a sentence

## Scientific definitions for Euclidean

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.

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