Library/Algebra/Axioms and Postulates of Euclid

Axioms and Postulates of Euclid

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Overview

This version is given by Sir Thomas Heath (1861-1940) in The Elements of Euclid. (1908)

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Axioms

  1. Things which are equal to the same thing are also equal to one another.
  2. If equals be added to equals, the wholes are equal.
  3. If equals be subtracted from equals, the remainders are equal.
  4. Things which coincide with one another are equal to one another.
  5. The whole is greater than the part.

Postulates

  1. **To draw a straight line from any poin