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
In a space of this kind there is no Here and There, as in Euclidean space, for the consciousness is always and immediately at one with the whole space.
From Man or Matter by Lehrs, Ernst
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.
