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Euclid's Elements

In Our Time: Science

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The Elements: Definitions, Axioms, and Postulates

The elements are known for their premises, axioms and postulates. Can you describe to us what those terms mean in the elements? Well, the elements begin with, well really, there are two parts to the beginning, the fundamental parts are the definitions. So we have to have some definitions in order to be able to have some axioms. The geometric axioms which are generally known as the postulates, and there are five postulates.

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