Euclidean geometry

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Related to Euclid's axioms: Euclid's postulates

Euclid′ean geom′etry

geometry based upon the postulates of Euclid, esp. the postulate that only one line may be drawn through a given point parallel to a given line.
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ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.Euclidean geometry - (mathematics) geometry based on Euclid's axiomsEuclidean geometry - (mathematics) geometry based on Euclid's axioms
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
geometry - the pure mathematics of points and lines and curves and surfaces
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euklidovská geometrie
euklidska geometrija
References in periodicals archive ?
But if we are as modest as we should be about our intuitive capacities, this will look to us like putting the cart before the horse: what we should say is rather that Dedekind's density claim seems obvious to us because we believe Euclid's axioms.
"The reader is free to reject Euclid's axioms if he so desires, but if he accepts them, then he cannot deny any of Euclid's further affirmations," Dr.
Frege uses these meta-considerations to support putting forward the axioms: "It is only if we do not dare to do this [treat Euclidean geometry on a par with astrology] that we can put Euclid's axioms forward as propositions that are neither false nor doubtful" (NS 184/PW 169).