Proposition: 6.25: Construction of Figure Similar to One and Equal to Another
(Proposition 25 from Book 6 of Euclid's “Elements”)
To construct a single (rectilinear figure) similar to a given rectilinear figure, and equal to a different given rectilinear figure.
Modern Formulation
It is possible to construct a rectilinear figure ($KGH$) similar to a given rectilinear figure ($ABC$) and having the same area as another given rectilinear figure ($D$).
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1 2
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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