Euclid's axiom

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Related to Euclid's axiom: Euclidean geometry

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Noun

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.

Romantic realism and moral value: Spielberg's Lincoln and Hooper's Les Miserables

Lobachevski-Bolyai) geometry, and that by adding a form of Euclid's axiom, one obtains Tarski's system of geometry.

Tarski's system of geometry and betweenness geometry with the group of movements/Tarski geomeetria susteem ja liikumisruhmaga vahelsusgeomeetria

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).