Euclid of Alexandria, a Greek mathematician. / A male given name from Ancient Greek of mostly historical use. / A city in Ohio. / An unincorporated community in West Virginia.

Euclidean algorithm

(number theory) The proposition that if a prime number p divides an arbitrary product ab of integers, then p divides a or b or both;

plural of non-Euclidean geometry

plural of 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).

Alternative spelling of Euclidean

(rare) Alternative spelling of Euclidean

The property of being Euclidean.

(geometry) The familiar geometry of the real world, based on the postulate that through any two points there is exactly one straight line.