Ordinary two- or three-dimensional space, characterised by an infinite extent along each dimension and a constant distance between any pair of parallel lines.

(historical) Any of certain algorithms first described in Euclid's Elements.

(mathematics) Two-dimensional Euclidean space.

(mathematics, geometry) A space where the principles of Euclidean geometry apply.

plural of Euclidian space

Alternative spelling of Euclidean

plural of non-Euclidean geometry

(rare) Alternative spelling of Euclidean

(mathematical analysis) In the space ℝⁿ, the metric d(⃑x,⃑y)=√ where ⃑x=(x_1,...,x_n) and ⃑y=(y_1,...,y_n).

The property of being Euclidean.