Euclidean space
Americannoun
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ordinary two- or three-dimensional space.
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any vector space on which a real-valued inner product is defined.
Etymology
Origin of Euclidean space
First recorded in 1880–85
Example Sentences
Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.
For example, in linear algebra one studies abstract vector spaces such as three-dimensional Euclidean space.
From Scientific American ● Sep. 14, 2021
In Euclidean space, staring at a point at infinity means that the lines of sight of the two eyes track parallel lines.
From Nature ● Mar. 20, 2017
A few years before Nash, Nirenberg had proved a result for a special case of the same problem, showing that a class of two-dimensional surfaces can be embedded as convex bodies in three-dimensional Euclidean space.
From Nature ● Mar. 24, 2015
The surface is not constructible in three-dimensional Euclidean space but has interesting properties, such as being one-sided, like the Möbius strip ...
From The Guardian ● Jul. 19, 2012
It has abandoned a Euclidean space with its axioms as a metaphysical presupposition, and it has abandoned an Aristotelian subsumptive logic for which definition is a necessary presupposition.
From Creative Intelligence Essays in the Pragmatic Attitude by Bode, Boyd H.
Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023
Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
