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The axiom is a premise or starting point for reasoning. The common notion are what is being defined and given a name.

The axioms and common notions are related.

  1. Things equal to the same thing are equal to one another.
  2. If equals are joined to equals, the wholes will be equal.
  3. If equals are taken from equals, what remains will be equal.
  4. Things that coincide with one another are equal to one another.
  5. The whole is greater than the part.
  6. Equal magnitudes have equal parts; equal halves, equal thirds.
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Q: What is the difference between axioms and common notions?
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