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

See Examples For:

Euclidean geometry

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

For example, some of you might recall that in good old high school Euclidean geometry there are five axioms, one of which is the “parallel axiom.”

From Slate ● Aug. 6, 2018

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

After puzzling over this for some time, Kepler hit on the idea that the number of planets might be related to the number of regular solid figures that can be constructed using Euclidean geometry.

From "The Scientists" by John Gribbin