Euclid's axiom


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Related to Euclid's axiom: Euclidean geometry
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Noun1.Euclid's axiom - (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 ?
Speaking to two young clerks, he tries to draw a deeper constitutional lesson from Euclid's axiom that things equal to the same thing are equal to each other.
Lobachevski-Bolyai) geometry, and that by adding a form of Euclid's axiom, one obtains Tarski's system of geometry.
3) The most venerable account of these objects and relations is of course that given in Euclid's axioms, which were put into a corrected and more analytically perspicuous form by Hilbert in his Foundations of Geometry (Hilbert 1899).