- Euclid's fifth axiom
- nounonly 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. 2012.
Euclid's fifth axiom
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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 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 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 — (fl. c. 300 BC) Greek geometer. One of the greatest mathematicians, Euclid lived under Ptolemy I and taught at Alexandria. His Elements contain thirteen books: six on plane geometry, three on the theory of numbers, one on irrationals, and three… … Philosophy dictionary
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
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
Arthur Cayley — Infobox Scientist name = Arthur Cayley |242px image width = 242px caption = Portrait in London by Barraud Jerrard birth date = birth date|1821|8|16|mf=y birth place = Richmond, Surrey, UK residence = England nationality = British death date =… … Wikipedia
geometry — Although various laws concerning lines and angles were known to the Egyptians and the Pythagoreans, the systematic treatment of geometry by the axiomatic method began with the Elements of Euclid . From a small number of explicit axioms,… … Philosophy dictionary
History of geometry — Geometry (Greek γεωμετρία ; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre modern mathematics, the other being the study of numbers. Classic geometry… … Wikipedia
