The Euclidean approach to geometry.

(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.

Of or relating to Euclidean zoning.

(rare) Alternative spelling of Euclidean

The property of being Euclidean.

(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:

of, or relating to non-Euclidean geometry

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

(mathematics) the set of rigid motions that are also affine transformations.

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