Euclid's axiom


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Related to Euclid's axiom: Euclidean geometry
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Synonyms for Euclid's axiom

(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry

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.
But, as before, we can easily justify (a) and (b) on the basis of Euclid's axioms, which enable us to construct, given an origin on the line and a unit length, all of the rational lengths (rational, that is, with respect to that unit) and some irrational ones as well.
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.
At twelve years of age Pascal discovered Euclid's axioms unaided; at sixteen he wrote a treatise on conic sections, and at eighteen he invented a calculating machine.