non-euclidean

adjective

non-eu·​clid·​e·​an ˌnän-yü-ˈkli-dē-ən How to pronounce non-euclidean (audio)
variants often non-Euclidean
: not assuming or in accordance with all the postulates of Euclid's Elements
non-euclidean geometry

Examples of non-euclidean in a Sentence

Recent Examples on the Web
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And the novel directs attention to convergences in surprising ways: at one point, for example, Ivan Karamazov alludes to non-Euclidean geometry in which parallel lines meet—in which otherwise separate things join. The Cosmic Library may 7, Literary Hub, 7 May 2025 As a result, any attempt to measure the geometry of the space — say, by adding up the angles of a triangle — would lead one to believe that the space was non-Euclidean. Quanta Magazine, 30 July 2024

Word History

First Known Use

1872, in the meaning defined above

Time Traveler
The first known use of non-euclidean was in 1872

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Cite this Entry

“Non-euclidean.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/non-euclidean. Accessed 2 May. 2026.

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