Proposition: Prop. 9.16: Two Co-prime Integers have no Third Integer Proportional
If two numbers are prime to one another then as the first is to the second, so the second (will) not (be) to some other (number).
* For let the two numbers $A$ and $B$ be prime to one another.
* I say that as $A$ is to $B$, so $B$ is not to some other (number).
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Table of Contents
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BY-SA 3.0 Sources:
- Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016