Proposition: Prop. 10.005: Ratio of Commensurable Magnitudes
Euclid's Formulation
Commensurable magnitudes have to one another the ratio which (some) number (has) to (some) number.
* Let $A$ and $B$ be commensurable magnitudes.
* I say that $A$ has to $B$ the ratio which (some) number (has) to (some) number.
Modern Formulation
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Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1 2 3 4
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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