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Proposition: Prop. 8.26: Similar Plane Numbers have Same Ratio as between Two Squares

Euclid's Formulation

Similar plane numbers have to one another the ratio which (some) square number (has) to a(nother) square number. * Let $A$ and $B$ be similar plane numbers. * I say that $A$ has to $B$ the ratio which (some) square number (has) to a(nother) square number.

Modern Formulation

(not yet contributed)

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