Euclidean geometry

American  

noun

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

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Etymology

Origin of Euclidean geometry

First recorded in 1860–65

Example Sentences

What I find so creepy about OpenAI’s bots is not that they seem to exhibit creativity; computers have been doing creative tasks such as generating original proofs in Euclidean geometry since the 1950s.

From Slate • Dec. 13, 2022

Manifolds are objects that on a zoomed-in, ‘local’ scale appear indistinguishable from the plane or higher-dimensional space described by Euclidean geometry.

From Scientific American • Mar. 28, 2022

Wordsworth imagined that Euclidean geometry “wedded soul to soul in purest bond / Of reason, undisturbed by space or time.”

From New York Times • May 18, 2021

Traditional, Euclidean geometry rests on the assumption that parallel lines stay at the same distance from each other forever, neither touching nor drifting apart.

From Nature • Mar. 20, 2017

Every theorem in Euclidean geometry can be dualized in projective geometry, setting up a whole set of new theorems in the parallel universe of projective geometry.

From "Zero: The Biography of a Dangerous Idea" by Charles Seife