Euclidean axiom

См. также в других словарях:

• Euclidean axiom — noun (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry • Syn: ↑Euclid s axiom, ↑Euclid s postulate • Topics: ↑mathematics, ↑math, ↑maths …   Useful english dictionary

• Axiom — This article is about logical propositions. For other uses, see Axiom (disambiguation). In traditional logic, an axiom or postulate is a proposition that is not proven or demonstrated but considered either to be self evident or to define and… …   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 geometry — geometry based upon the postulates of Euclid, esp. the postulate that only one line may be drawn through a given point parallel to a given line. [1860 65] * * * Study of points, lines, angles, surfaces, and solids based on Euclid s axioms. Its… …   Universalium

• Axiom of Archimedes — The axiom of Archimedes can be stated in modern notation as follows: Let x be any real number. Then there exists a natural number n such that n > x. In field theory this statement is called the Axiom of Archimedes. The same name is also applied… …   Wikipedia

• axiom — /ak see euhm/, n. 1. a self evident truth that requires no proof. 2. a universally accepted principle or rule. 3. Logic, Math. a proposition that is assumed without proof for the sake of studying the consequences that follow from it. [1475 85; …   Universalium

• Euclid's axiom — noun (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry • Syn: ↑Euclid s postulate, ↑Euclidean axiom • Topics: ↑mathematics, ↑math, ↑maths …   Useful english dictionary

• Euclid's fifth axiom — noun only one line can be drawn through a point parallel to another line • Syn: ↑parallel axiom • Hypernyms: ↑Euclid s axiom, ↑Euclid s postulate, ↑Euclidean axiom …   Useful english dictionary

• parallel axiom — noun only one line can be drawn through a point parallel to another line • Syn: ↑Euclid s fifth axiom • Hypernyms: ↑Euclid s axiom, ↑Euclid s postulate, ↑Euclidean axiom * * * noun : parallel postul …   Useful english dictionary

• Euclid's first axiom — noun a straight line can be drawn between any two points • Hypernyms: ↑Euclid s axiom, ↑Euclid s postulate, ↑Euclidean axiom …   Useful english dictionary

• Euclid's fourth axiom — noun all right angles are equal • Hypernyms: ↑Euclid s axiom, ↑Euclid s postulate, ↑Euclidean axiom …   Useful english dictionary