Euclidean axiom


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Related to Euclidean axiom: Parallel postulate, Euclid's axioms
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Noun1.Euclidean 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 ?
Similarly today, strangely enough, we know -- and with that same absolute certainty -- that the axiom of Euclid's parallels is still true, and this despite the fact that meanwhile the non-Euclidean axiom has also been admitted and integrated, with the same rights, into the world of the episteme, where it enjoys the same dignity of truth today which has been the privilege of the Euclidean axiom from all eternity.
If you look at what the Euclidean axioms are, you will see that many of them are existence axioms, whose truth depends on the properties of the Form of the Triangle, the Circle, and so on.
The Euclidean axioms are well established, and have been for some time, but it is only relatively recently that efforts have been made to axiomatise paper folding.