Proposition: Prop. 9.28: Odd Number multiplied by Even Number is Even

Euclid's Formulation

If an odd number makes some (number by) multiplying an even (number) then the created (number) will be even. * For let the odd number $A$ make $C$ (by) multiplying the even (number) $B$. * I say that $C$ is even.

fig28e

Modern Formulation

(not yet contributed)

Proofs: 1


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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