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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

(not yet contributed)

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)

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