Proposition: Prop. 10.020: Quotient of Rational Numbers is Rational
Euclid's Formulation
If a rational (area) is applied to a rational (straight line) then it produces as breadth a (straight line which is) rational, and commensurable in length with the (straight line) to which it is applied.
Modern Formulation
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Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
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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