non-Euclidean geometry

American  

noun

1. geometry based upon one or more postulates that differ from those of Euclid, especially from the postulate that only one line may be drawn through a given point parallel to a given line.

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non-Euclidean geometry British  

noun

1. the branch of modern geometry in which certain axioms of Euclidean geometry are restated. It introduces fundamental changes into the concept of space

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Etymology

Origin of non-Euclidean geometry

First recorded in 1870–75; non- + Euclidean

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

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

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

From Los Angeles Times • Apr. 10, 2019

As a mathematician, did Gödel immediately understand the implications of the weird non-Euclidean geometry of gerrymandering?

From Slate • Aug. 6, 2018

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