Euclidean
Euclidean (or, less commonly, Euclidian) relates to Euclid (an ancient Greek mathematician), a town or others. It may refer to:
- Geometry
- 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
- Number theory
- Euclidean algorithm, a method for finding greatest common divisors
- Extended Euclidean algorithm, a method for solving the Diophantine equation ax + by = d where d is the greatest common divisor of a and b.
- Euclidean domain, a system of numbers or values with properties similar enough to those of the integers to allow the extended Euclidean algorithm to work
- Euclid's lemma: if a prime number divides a product of two numbers, then it divides at least one of those two numbers.
- Other
- Euclidean relation, a property of binary relations related to transitivity
- Euclidean distance map, a digital image in which each pixel value represents the Euclidean distance to an obstacle
- Euclidean zoning, a system of land use management modeled after the zoning code of Euclid, Ohio
- See also