Euclid's axiom


Also found in: Thesaurus.
Related to Euclid's axiom: Euclidean geometry
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.Euclid's axiom - (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
Euclidean axiom, Euclid's postulate
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
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Mentioned in ?
References in periodicals archive ?
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
For in the past as in our own time, the truth of Euclid's axiom of parallels has never been an open problem.
De interpretatione: commented biography of Euclid. *
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

Dictionary browser ?
Full browser ?