cover image

Euclidean plane

Geometric model of the planar projection of the physical universe / From Wikipedia, the free encyclopedia

Dear Wikiwand AI, let's keep it short by simply answering these key questions:

Can you list the top facts and stats about Euclidean plane?

Summarize this article for a 10 years old


In mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted E2. It is a geometric space in which two real numbers are required to determine the position of each point. It is an affine space, which includes in particular the concept of parallel lines. It has also metrical properties induced by a distance, which allows to define circles, and angle measurement.

Bi-dimensional Cartesian coordinate system

A Euclidean plane with a chosen Cartesian coordinate system is called a Cartesian plane. The set of the pairs of real numbers (the real coordinate plane), equipped with the dot product, is often called the Euclidean plane, since every Euclidean plane is isomorphic to it.