Proposition: 6.18: Construction of Similar Polygon
(Proposition 18 from Book 6 of Euclid's “Elements”)
To describe a rectilinear figure similar, and similarly laid down, to a given rectilinear figure on a given straight line.
Modern Formulation
Given a segment $\overline{AB}$ and an arbitrary rectilinear figure it is possible to construct a similar figure containing the segment $\overline{AB}$ as one of its sides.
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1 2 3 4 5 6
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References
Adapted from (subject to copyright, with kind permission)
 Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BYSA 3.0 Sources:
 Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016