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

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

Does democracy follow from the Constitution like a proof of Euclidean geometry?

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

These are, in fact, the engineering artifacts of intelligent beings: roads, highways, canals, farmland, city streets—a pattern disclosing the twin human passions for Euclidean geometry and territoriality.

From "Cosmos" by Carl Sagan