euclidean geometry

noun

variants often Euclidean geometry
1
: geometry based on Euclid's axioms
2
: the geometry of a euclidean space

Examples of euclidean geometry in a Sentence

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The general idea is that there are truths that can never formally be proved, as long as these truths are within a formal system, such as basic arithmetic or Euclidean geometry. Theodore McDarrah, Forbes, 14 Jan. 2025 By including those points, projective geometry could be merged with Euclidean geometry in a way that was consistent for both systems. Richard Jensen, Scientific American, 28 Apr. 2025 Teorema, which in English means theorem, also evokes the Pythagorean theorem of Euclidean geometry — angular shapes are very much at the heart of this new collection. Sofia Celeste, WWD, 3 Sep. 2019 Her grammar consisted of triangles, the razor-blade shape, and rhombuses, sometimes in which quadrilaterals—a color-rich, playful visualization of Euclidean geometry—jostled with figuration. Percy Zvomuya, Artforum, 1 June 2025 Unlike navigating on a flat map using Euclidean geometry, aeronautical navigation requires solving complex problems by calculating position and plotting courses on a model of the Earth as an ellipsoid, or a sphere. Natasha Gural, Forbes.com, 8 Sep. 2025

Word History

First Known Use

circa 1865, in the meaning defined at sense 1

Time Traveler
The first known use of euclidean geometry was circa 1865

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Cite this Entry

“Euclidean geometry.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/euclidean%20geometry. Accessed 7 Jul. 2026.

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