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Proposition: Prop. 9.31: Odd Number Co-prime to Number is also Co-prime to its Double

Euclid's Formulation

If an odd number is prime to some number then it will also be prime to its double.

• For let the odd number $A$ be prime to some number $B$.
• And let $C$ be double $B$.
• I say that $A$ is [also] [prime to]bookofproofs$1288 $C$.

Modern Formulation

(not yet contributed)

Table of Contents

Proofs: 1

Thank you to the contributors under CC BY-SA 4.0!

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non-Github:

@Fitzpatrick

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