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

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

We refer to this as a flat universe, and the kind of Euclidean geometry you learned in high school applies in this type of universe.

From Textbooks ● Oct. 13, 2016

If classical Euclidean geometry is conceived as a top-down approach with all theorems following by pure logic from a few self-evident axioms, the new approaches can be thought of as bottom-up, inspired by experience.

From New York Times ● Apr. 7, 2014

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