• Source: Euclidean

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




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 division, the division which produces a quotient and a remainder
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
Euclid's lemma: if a prime number divides a product of two numbers, then it divides at least one of those two numbers
Euclidean domain, a ring in which Euclidean division may be defined, which allows Euclid's lemma to be true and the Euclidean algorithm and the extended Euclidean algorithm to work




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 rhythm, a method of distributing beats across musical steps based on Euclid's algorithm
Euclidean zoning, a system of land use management modeled after the zoning code of Euclid, Ohio
Euclidean division of the Intermediate Math League of Eastern Massachusetts




See also


Euclid (disambiguation)
Euclid's Elements, a 13-book mathematical treatise written by Euclid, that includes both geometry and number theory
Euclideon, an Australian computer graphics company

Kata Kunci Pencarian:

• Segitiga
• Teorema Pythagoras
• Geometri
• Ruang Euklides
• Translasi (geometri)
• Sistem koordinat Cartesius
• Pembagian
• Norma (matematika)
• Hukum Gerakan Planet Kepler
• Selubung cembung
• Euclidean
• Euclidean space
• Euclidean geometry
• Euclidean distance
• Euclidean vector
• Non-Euclidean geometry
• Euclidean algorithm
• Euclidean plane
• Three-dimensional space
• Four-dimensional space