Definition: 7.14: Not Co-prime Numbers

And numbers composite to one another are those (which are) measured by some number as a common measure.

Modern Formulation

Negation of co-prime, formally, \[a\not\perp b\Longleftrightarrow\gcd(a,b) > 1.\]

Proofs: 1


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References

Adapted from (subject to copyright, with kind permission)

  1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"

Adapted from CC BY-SA 3.0 Sources:

  1. Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016