non-Euclidean

American  

[non-yoo-klid-ee-uhn] / ˌnɒn yuˈklɪd i ən /

adjective

1. differing from the postulates of Euclid or based upon postulates other than those of Euclid.

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non-Euclidean Scientific  

/ nŏn′yo̅o̅-klĭd′ē-ən /

1. Relating to any of several modern geometries that are based on a set of postulates other than the set proposed by Euclid, especially one in which all of the postulates of Euclidean geometry hold except the parallel postulate.

2. Compare Euclidean

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Etymology

Origin of non-Euclidean

First recorded in 1870–75

Example Sentences

The study also connects these ideas to the non-Euclidean geometry explored later in the Paradiso, suggesting Dante's cosmology may contain surprisingly advanced physical concepts hidden within its literary framework.

From Science Daily • May 11, 2026

“He’s actually a very sensible guy with a slightly non-Euclidean sense of humor,” Mr. Rubenstein said.

From New York Times • Jan. 1, 2023

Orwell understood, however, that politics is not a scientific endeavor, but rather “a sort of sub-atomic or non-Euclidean world” where perception could prevail over substance, sometimes dangerously, and sometimes lastingly.

From Washington Post • Jan. 4, 2021

NBC hired him to be a cultural correspondent on the “Today” show, where he discussed non-Euclidean geometry and recited 17th-century poetry.

From Seattle Times • Apr. 10, 2019

At that stage of my youth, death remained as abstract a concept as non-Euclidean geometry or marriage.

From "Into the Wild" by Jon Krakauer