parallel axiom
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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
parallel postulate — noun : a postulate in geometry: if a straight line incident on two straight lines make the sum of the angles within and on the same side less than two right angles the two straight lines being produced indefinitely meet one another on whichever… … Useful english dictionary
parallel postulate — Geom. the axiom in Euclidean geometry that only one line can be drawn through a given point so that the line is parallel to a given line that does not contain the point. Also called parallel axiom. * * * One of the five postulates, or axioms, of… … Universalium
axiom of parallels — parallel postulate … 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
Parallel postulate — In geometry, the parallel postulate, also called Euclid s fifth postulate since it is the fifth postulate in Euclid s Elements , is a distinctive axiom in what is now called Euclidean geometry. It states that: If a line segment intersects two… … Wikipedia
Axiom of categoricity — The Axiom of Categoricity is a tenet of linguistic theory that remained practically undisputed before the inception of modern sociolinguistics in the mid twentieth century. The term was coined by J.K. Chambers in 1995 and refers to the once… … Wikipedia
Axiom independence — Basic Definition and Requirements= An axiom P is independent if there is no other axiom Q such that Q implies P.In many cases independency is desired, either to reach the conclusion of a reduced set of axioms, or to be able to replace an… … Wikipedia
Parallel (Geometrie) — In der Euklidischen Geometrie definiert man: Zwei Geraden sind parallel, wenn sie in einer Ebene liegen und einander nicht schneiden. Außerdem setzt man fest, dass jede Gerade zu sich selbst parallel sein soll. Häufig wird von parallelen Geraden … Deutsch Wikipedia
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
