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Proposition: 6.10: Construction of Similarly Cut Straight Line

(Proposition 10 from Book 6 of Euclid's “Elements”)

To cut a given uncut straight line similarly to a given cut (straight line).

Modern Formulation

It is possible to scale a yardstick (with an arbitrary scale) of a given length $|AC|$ to the new length $|AB|.$

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2

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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