Difference between axioms and postulates in geometry
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An axiom generally is true for any field in science, while a postulate can be specific on a particular field. It is impossible to prove from other axioms, while postulates are provable to axioms.
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Corollary — a result in which the (usually short) proof relies heavily on a given theorem (we often say that “this is a corollary of Theorem A”). ... Axiom/Postulate — a statement that is assumed to be true without proof
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