To construct a single (rectilinear figure) similar to a given rectilinear figure, and equal to a different given rectilinear figure. * Let $ABC$ be the given rectilinear figure to which it is required to construct a similar (rectilinear figure), and $D$ the (rectilinear figure) to which (the constructed figure) is required (to be) equal. * So it is required to construct a single (rectilinear figure) similar to $ABC$, and equal to $D$.
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 ($D$).
Proofs: 1