**Euclidean** — (adj.) 1650s, of or pertaining to Euclid, from Gk. Eukleides, c.300 B.C.E. geometer of Alexandria. Now often used in contrast to alternative models based on rejection of some of his axioms. His name in Greek means renowned, from eu well (see EU… … Etymology dictionary

**Euclidean** — List of topics named after Euclid (Euclidean or, less commonly, Euclidian) *Euclidean space *Euclidean geometry *Euclid s Elements *Euclidean domain *Euclidean distance *Euclidean ball *Euclidean algorithm *Euclidean distance map *Extended… … Wikipedia

**Euclidean** — adjective /juːˈklɪd.i.ən/ a) Adhering to the principles of traditional geometry, in which parallel lines are equidistant. b) Of or relating to s , especially to Euclidean geometry. Ant … Wiktionary

**euclidean** — adj. of or relating to Euclid, 3rd c. BC Alexandrian geometrician, esp. the system of geometry based on his principles. Phrases and idioms: Euclidean space space for which Euclidean geometry is valid. Etymology: L Euclideus f. Gk Eukleideios … Useful english dictionary

**Euclidean** — adj. Euclidean is used with these nouns: ↑geometry … Collocations dictionary

**Euclidean quantum gravity** — refers to a Wick rotated version of quantum gravity, formulated as a quantum field theory. The manifolds that are used in this formulation are 4 dimensional Riemannian manifolds instead of pseudo Riemannian manifolds. It is also assumed that the… … Wikipedia

**Euclidean zoning** — Eu·clid·e·an zoning /yu̇ kli dē ən / n [from Village of Euclid, Ohio et al. v. Ambler Realty Co., 272 U.S. 365 (1926), case in which the Supreme Court upheld the right of a locality to enforce such a system]: a system of zoning whereby a town or… … Law dictionary

**Euclidean space** — Every point in three dimensional Euclidean space is determined by three coordinates. In mathematics, Euclidean space is the Euclidean plane and three dimensional space of Euclidean geometry, as well as the generalizations of these notions to… … Wikipedia

**Euclidean geometry** — A Greek mathematician performing a geometric construction with a compass, from The School of Athens by Raphael. Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his… … Wikipedia

**Euclidean domain** — In abstract algebra, a Euclidean domain (also called a Euclidean ring) is a type of ring in which the Euclidean algorithm applies. A Euclidean domain is a specific type of integral domain, and can be characterized by the following (not… … Wikipedia