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

Recent Examples on the Web
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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 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 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 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 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

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 5 Jul. 2026.

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