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Proposition: Prop. 9.25: Even Number minus Odd Number is Odd

(Proposition 25 from Book 9 of Euclid's “Elements”)

If an odd (number) is subtracted from an even number then the remainder will be odd.

• For let the odd (number) $BC$ have been subtracted from the even number $AB$.
• I say that the remainder $CA$ is odd.

Modern Formulation

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Table of Contents

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