euclidean

Euclidean (or, less commonly, Euclidian) is an adjective derived from the name of Euclid, an ancient Greek mathematician. It may refer to:

• Euclidean space, the two-dimensional plane and three-dimensional space of Euclidean geometry as well as their higher dimensional generalizations
• Euclidean geometry, the study of the properties of Euclidean spaces
• Non-Euclidean geometry, systems of points, lines, and planes analogous to Euclidean geometry but without uniquely determined parallel lines
• Euclidean distance, the distance between pairs of points in Euclidean spaces
• Euclidean ball, the set of points within some fixed distance from a center point