HyperDic: euclid[s_axiom

English > 1 sense of the expression Euclid's axiom:
NOUNcognitionEuclid's axiom, Euclid's postulate, Euclidean axiom(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
English > Euclid's axiom: 1 sense > noun 1, cognition
Meaning(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry.
SynonymsEuclid's postulate, Euclidean axiom
Categorymathematics, math, mathsA science (or group of related sciences) dealing with the logic / logic of quantity and shape and arrangement
NarrowerEuclid's fifth axiom, parallel axiomOnly one line can be drawn through a point parallel to another line
Euclid's first axiomA straight line can be drawn between any two points
Euclid's fourth axiomAll right angles are equal
Euclid's second axiomAny terminated straight line can be projected indefinitely
Euclid's third axiomA circle with any radius can be drawn around any point
Broaderaxiom(logic) a proposition that is not susceptible of proof or disproof

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