Euclidean space

Euclid′ean space′

n. ordinary two- or three-dimensional space. [1880–85]

Thesaurus

Noun

Euclidean space - a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensionalmetric space - a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality

Translations

Euclidean Space

euclidean space

[yü′klid·ē·ən ′spās] (mathematics) A space consisting of all ordered sets (x₁, …, x_n) of n numbers with the distance between (x₁, …, x_n) and (y₁, …, y_n) being given by the number n is called the dimension of the space.

Euclidean Space

in mathematics, a space whose properties are described by the axioms of Euclidean geometry. In a more general sense, a Euclidean space is an n-dimensional vector space, into which several special Cartesian coordinates can be introduced so that its metric is defined in the following manner: If point M has the coordinates (x₁x₂, …, x_n and point M^* has the coordinates (x₁^*, x₂^*, …, x_n^*), then the distance between these points is

Euclidean space

Euclid′ean space′

Euclidean Space

euclidean space

Euclidean Space

Euclidean space

Words related to Euclidean space

noun a space in which Euclid's axioms and definitions apply

Related Words