Euclidean space
In mathematics, Euclidean space is a generalization of the planes and spaces that Euclidese studied. This generalization extends Euclidean's distance, length and angle into a space of arbitrary dimension by introducing a coordinate system. It is a standard finite dimension, real number, inner space. In some cases, it is a contrast to the Minkovsky space, where Pythagorean theorem tells the space where the coefficients of the square of the length are both positive.