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Proposition: Prop. 9.01: Product of Similar Plane Numbers is Square

(Proposition 1 from Book 9 of Euclid's “Elements”)

If two similar plane numbers make some (number by) multiplying one another then the created (number) will be square.

• Let $A$ and $B$ be two similar plane numbers, and let $A$ make $C$ (by) multiplying $B$.
• I say that $C$ is square.

Modern Formulation

Table of Contents

Proofs: 1

Mentioned in:

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