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
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
Schopenhauer's criticism of the proofs of the parallel postulate — Arthur Schopenhauer criticized mathematicians attempts to prove Euclid s Parallel Postulate because they try to prove from indirect concepts that which is directly evident from perception. Throughout his writings [ I wanted in this way to stress… … Wikipedia
Parallel (geometry) — Parallelism is a term in geometry and in everyday life that refers to a property in Euclidean space of two or more lines or planes, or a combination of these. The assumed existence and properties of parallel lines are the basis of Euclid s… … Wikipedia
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 — parallelable, adj. parallelless, adj. parallelly, adv. /par euh lel , leuhl/, adj., n., v., paralleled, paralleling or (esp. Brit.) parallelled, parallelling. adj. 1. extending in the same direction, equidistant at all points, and never… … Universalium
parallel axiom — Geom. See parallel postulate. * * * … Universalium
AA postulate — The AA Postulate in Euclidean geometry states that two triangles are similar if they have two corresponding angles congruent.The AA Postulate works because the interior angles of a triangle are always equal to 180°. By knowing two angles, such as … Wikipedia
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
axiom of parallels — parallel postulate … Useful english dictionary
