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

(mathematics) Two-dimensional Euclidean space.

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

plural of Euclidean space

plural of Euclidean plane

plural of Euclidean group

(algebra) an integral domain in which division with remainder is possible

(mathematics) A norm of an ordinary Euclidean space, for which the Pythagorean theorem holds, defined by |x|=√

The classical Greek alphabet, a modified form of the Ionic alphabet adopted by Athens in 403 BC following its defeat in the Peloponnesian War.

plural of Euclidean norm