Euclid's axiom

Euclid's axiom
noun
(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
Topics: ↑mathematics, ↑math, ↑maths
Hypernyms: ↑axiom

Useful english dictionary. 2012.

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  • axiom — [ak′sē əm] n. [Fr axiome < L axioma < Gr axiōma, authority, authoritative sentence < axioun, to think worthy < axios, worthy < base of agein, to weigh, orig., to lend: see ACT1] 1. a statement universally accepted as true; maxim 2 …   English World dictionary

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

  • 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

  • Euclid's second axiom — noun any terminated straight line can be projected indefinitely • Hypernyms: ↑Euclid s axiom, ↑Euclid s postulate, ↑Euclidean axiom …   Useful english dictionary

  • Euclid's third axiom — noun a circle with any radius can be drawn around any point • Hypernyms: ↑Euclid s axiom, ↑Euclid s postulate, ↑Euclidean axiom …   Useful english dictionary

  • Euclid's Elements — (Greek: polytonic|Στοιχεῖα) is a mathematical and geometric treatise consisting of 13 books written by the Greek mathematician Euclid in Alexandria circa 300 BC. It comprises a collection of definitions, postulates (axioms), propositions… …   Wikipedia

  • 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

  • Euclid — (c. 330 bc–260 bc) Greek mathematician Euclid is one of the best known and most influential of classical Greek mathematicians but almost nothing is known about his life. He was a founder and member of the academy in Alexandria, and may have been… …   Scientists

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