Proposition: Prop. 9.13: Divisibility of Elements of Geometric Progression from One where First Element is Prime
Euclid's Formulation
If any multitude whatsoever of numbers is in continued proportion, (starting) from a unit, and the (number) after the unit is prime, then the greatest (number) will be measured by no [other] (numbers) except (numbers) existing among the proportional numbers.
 Let any multitude whatsoever of numbers, $A$, $B$, $C$, $D$, be in continued proportion, (starting) from a unit.
 And let the (number) after the unit, $A$, be prime.
 I say that the greatest of them, $D$, will be measured by no other (numbers) except $A$, $B$, $C$.
Modern Formulation
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Table of Contents
Proofs: 1
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Proofs: 1 2
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References
Adapted from (subject to copyright, with kind permission)
 Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BYSA 3.0 Sources:
 Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016