non-Euclidean geometry

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.

non-Euclidean geometry

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

Word History and Origins

Origin of non-Euclidean geometry¹

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

He’s a man who drags his conscience around with him like a dead leg, but could take out an entire Isis cell one-handed while pondering non-Euclidean geometry if he put his mind to it.

From The Guardian

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