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).
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 2
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Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BY-SA 3.0 Sources:
- Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016