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 intuition we develop in Euclidean geometry does not prepare us well for non-Euclidean geometry.

From Scientific American

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

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

Known as a Klein Recycler, the style pays tribute to Felix Klein, a pioneer of non-Euclidean geometry who theorized the existence of a bottle which contains itself.

From The Guardian

The original was a clever puzzle romp that vamped on non-Euclidean geometry, asking that you guide a character through architecturally minimalist levels that seemed at first blush impossible to traverse.

From Time