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Euclid
Eu·clid E0235350 (yo͞o′klĭd) Third century bc. Greek mathematician who applied the deductive principles of logic to geometry, thereby deriving statements from clearly defined axioms. His Elements remained influential as a geometry textbook until the 19th century.Euclid (ˈjuːklɪd) n1. (Biography) 3rd century bc, Greek mathematician of Alexandria; author of Elements, which sets out the principles of geometry and remained a text until the 19th century at least2. (Mathematics) the works of Euclid, esp his system of geometry Euclidean, Euclidian adjEu•clid (ˈyu klɪd)
n. 1. fl. c300 B.C., Greek geometrician and educator at Alexandria. 2. a city in NE Ohio, near Cleveland. 55,320. Eu·clid (yo͞o′klĭd) Third-century b.c. Greek mathematician whose book, Elements, was used continuously until the 19th century. In it, he organized and systematized all that was known about geometry. Euclid's systematic use of deductions and axioms was widely regarded as a model working method and influenced mathematicians and scientists for over two thousand years.Thesaurus| Noun | 1. |  Euclid - Greek geometer (3rd century BC) |
TranslationsEuclid
Euclid (yo͞o`klĭd), fl. 300 B.C., Greek mathematician. Little is known of his life other than the fact that he taught at Alexandria, being associated with the school that grew up there in the late 4th cent. B.C. He is famous for his Elements, a presentation in thirteen books of the geometry and other mathematics known in his day. The first six books cover elementary plane geometry and have served since as the basis for most beginning courses on this subject. The other books of the Elements treat the theory of numbers and certain problems in arithmetic (on a geometric basis) and solid geometry, including the five regular polyhedra, or Platonic solids. A few modern historians have questioned Euclid's authorship of the Elements, but he is definitely known to have written other works, most notably the Optics. The great contribution of Euclid was his use of a deductive system for the presentation of mathematics. Primary terms, such as point and line, are defined; unproved assumptions, or postulates, regarding these terms are stated; and a series of statements are then deduced logically from the definitions and postulates. Although Euclid's system no longer satisfies modern requirements of logical rigor, its importance in influencing the direction and method of the development of mathematics is undisputed. One consequence of the critical examination of Euclid's system was the discovery in the early 19th cent. that his fifth postulate, equivalent to the statement that one and only one line parallel to a given line can be drawn through a point external to the line, can not be proved from the other postulates; on the contrary, by substituting a different postulate for this parallel postulate two different self-consistent forms of non-Euclidean geometrynon-Euclidean geometry,
branch of geometry in which the fifth postulate of Euclidean geometry, which allows one and only one line parallel to a given line through a given external point, is replaced by one of two alternative postulates.
..... Click the link for more information. were deduced, one by Nikolai I. LobachevskyLobachevsky, Nikolai Ivanovich
, 1793–1856, Russian mathematician. A pioneer in non-Euclidean geometry, he challenged Euclid's fifth postulate that one and only one line parallel to a given line can be drawn through a fixed point external to the line; he developed,
..... Click the link for more information. (1826) and independently by János BolyaiBolyai
, family of Hungarian mathematicians. The father, Farkas, or Wolfgang, Bolyai, 1775–1856, b. Bolya, Transylvania, was educated in Nagyszeben from 1781 to 1796 and studied in Germany during the next three years at Jena
..... Click the link for more information. (1832) and another by Bernhard RiemannRiemann, Bernhard
(Georg Friedrich Bernhard Riemann) , 1826–66, German mathematician. He studied at the universities of Göttingen and Berlin and was professor at Göttingen from 1859.
..... Click the link for more information. (1854). Bibliography See D. Berlinski, The King of Infinite Space: Euclid and His Elements (2013).
Euclid, city (1990 pop. 54,875), Cuyahoga co., NE Ohio, a suburb adjoining Cleveland, on Lake Erie; settled 1798, inc. 1848. Named for the famous Greek mathematician, the industrial city manufactures metal goods, electrical supplies and equipment, airplane and automobile parts, and machinery. The National American Shrine of Our Lady of Lourdes is there.Euclid1. 3rd century bc, Greek mathematician of Alexandria; author of Elements, which sets out the principles of geometry and remained a text until the 19th century at least 2. the works of Euclid, esp his system of geometry Euclid (language)(Named after the Greek geometer, fl ca 300 BC.) APascal descendant for development of verifiable systemsoftware. No goto, no side effects, no globalassignments, no functional arguments, no nested procedures, nofloats, no enumeration types. Pointers are treated asindices of special arrays called collections. To preventaliasing, Euclid forbids any overlap in the list of actualparameters of a procedure. Each procedure gives an importslist, and the compiler determines the identifiers that areimplicitly imported. Iterators.
Ottawa Euclid is a variant.
["Report on the Programming Language Euclid", B.W. Lampson etal, SIGPLAN Notices 12(2):1-79, Feb 1977].EUCLID
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| EUCLID➣European Cooperation for Lightning Detection | | EUCLID➣European Cooperation for the Long Term in Defense | | EUCLID➣Edinburgh University Complete Lifecycle Integrated Development (University of Edinburgh; Edinburgh, Scotland, UK) |
ThesaurusSeeeuclidian |