Euclidean

or Eu·clid·i·an

[ yoo-klid-ee-uhn ]

/ yuˈklɪd i ən /

adjective

of or relating to Euclid, or adopting his postulates.

Origin of Euclidean

1650–60; <Latin Euclīdē(us) of Euclid (<Greek Eukleídeios) + -an

Words nearby Euclidean

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

Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020

Example sentences from the Web for Euclidean

The geometry on such a surface is shown to be Euclidean, limit-lines replacing Euclidean straight lines.
Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6|Various
Then what are we to think of that question: Is the Euclidean geometry true?
The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method|Henri Poincar
I shall therefore admit, provisionally, absolute time and Euclidean geometry.
The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method|Henri Poincar
"City" is not necessarily descriptive: perhaps less so than the application of Euclidean axioms to advanced geometry.
General Max Shorter|Kris Ottman Neville

The Euclidean geometry has, therefore, nothing to fear from fresh experiments.
The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method|Henri Poincar

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.

单词	euclidean
释义	Euclidean or Eu·clid·i·an [ yoo-klid-ee-uhn ] / yuˈklɪd i ən / adjective of or relating to Euclid, or adopting his postulates. Origin of Euclidean 1650–60; <Latin Euclīdē(us) of Euclid (<Greek Eukleídeios) + -an Words nearby Euclidean euchromatin, euchromosome, Eucken, euclase, Euclid, Euclidean, Euclidean algorithm, Euclidean geometry, Euclidean group, Euclidean space, eucrasia Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020 Example sentences from the Web for Euclidean The geometry on such a surface is shown to be Euclidean, limit-lines replacing Euclidean straight lines. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6\|Various Then what are we to think of that question: Is the Euclidean geometry true? The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method\|Henri Poincar I shall therefore admit, provisionally, absolute time and Euclidean geometry. The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method\|Henri Poincar "City" is not necessarily descriptive: perhaps less so than the application of Euclidean axioms to advanced geometry. General Max Shorter\|Kris Ottman Neville The Euclidean geometry has, therefore, nothing to fear from fresh experiments. The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method\|Henri Poincar 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. The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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