Euclidean geometry

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.

Word History and Origins

Origin of Euclidean geometry¹

First recorded in 1860–65

Example Sentences

Perhaps the most stunning result in Euclidean geometry, though, is one that reveals an astonishing property about triangles.

From Literature

Realizing why Euclidean geometry cannot solve these problems—and why other methods can—has been a longtime preoccupation of mathematics.

From Literature

Euclidean geometry, for example, is the most appropriate for schoolchildren armed with rulers, compasses and flat pieces of paper, while spherical geometry is the most appropriate for airline pilots navigating flight paths.

From Literature

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

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