The property of being Euclidean.

(rare) Alternative spelling of Euclidean

Of or relating to Euclidean zoning.

(geometry) Adhering to the principles of traditional geometry, in which parallel lines are equidistant. / Of or relating to Euclid's Elements, especially to Euclidean geometry.

The Euclidean approach to 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).

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

of, or relating to non-Euclidean geometry

(geometry) The distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points; for example, in two-dimensional Euclidean geometry, the Euclidean distance between two points a = (aₓ, a_y) and b = (bₓ, b_y) is defined as: