A definition assigns properties to some sort of mathematical object. For example, Euclid's Elements starts with a number of definitions, such as "a line is a breadthless length." After definitions, Euclid gives postulates or axioms. Based on these, he provides a number of proofs and constructions.

See also

Axiom, Postulate, Proof

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Cite this as:

Weisstein, Eric W. "Definition." From MathWorld--A Wolfram Web Resource.

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