Euclid's postulate


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Related to Euclid's postulate: Euclid's fifth axiom
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Noun1.Euclid's postulate - (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
Euclid's first axiom - a straight line can be drawn between any two points
Euclid's second axiom - any terminated straight line can be projected indefinitely
Euclid's third axiom - a circle with any radius can be drawn around any point
Euclid's fourth axiom - all right angles are equal
Euclid's fifth axiom, parallel axiom - only one line can be drawn through a point parallel to another line
axiom - (logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident
References in periodicals archive ?
Apart from Euclid's Postulate, there is no guarantee that parallel lines cannot meet.
Moreover, the development of non-Euclidean geometries, which overturned Euclid's postulate that parallel lines never meet, provided alternative but perfectly consistent models of reality.