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

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

There one of the key figures is Thomas Hobbes, the 17th-century philosopher of authoritarianism, a strong advocate of law, order — and, like the Jesuits, of the top-down hierarchical nature of Euclidean geometry.

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