difference between axioms and postulates
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A fundamental assumption that serves as a basis for deduction of theorems. Examples: "Through a pair of distinct points there passes exactly one straight line", "All right angles are congruent
And postulate is Something assumed without proof as being self-evident or generally accepted, especially when used as a basis for an argument.
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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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