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euclidean

 - 4 dictionary results

Eu⋅clid⋅e⋅an

  [yoo-klid-ee-uhn]
Use euclidean in a Sentence
–adjective
of or pertaining to Euclid, or adopting his postulates.
Also, Eu⋅clid⋅i⋅an.

Origin:
1650–60; < L Euclīdē(us) of Euclid (< Gk Eukleídeios) + -an
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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Eu·clid·e·an also Eu·clid·i·an   (yōō-klĭd'ē-ən)   
adj.  Of or relating to Euclid's geometric principles.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Word Origin & History

Euclidean 
1660, "of or pertaining to Euclid," from Gk. Eukleides, c.300 B.C.E. geometer of Alexandria. Now often used in contrast to alternate models based on rejection of some of his axioms. His name in Gk. means "renowned," from eu- "well" + kleos "fame."
Online Etymology Dictionary, © 2001 Douglas Harper
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Science Dictionary
Euclidean   (y-klĭd'ē-ən)  Pronunciation Key 
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 © 2002. Published by Houghton Mifflin. All rights reserved.
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