Proposition: 2.14: Constructing a Square from a Rectilinear Figure
(Proposition 14 from Book 2 of Euclid's “Elements”)
To construct a square equal to a given rectilinear figure.
* Let $A$ be the given rectilinear figure.
* So it is required to construct a square equal to the rectilinear figure $A$.
It is possible to construct a square with the area equal to the area of a given an arbitrary convex \(n\)-sided figure.
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Thank you to the contributors under CC BY-SA 4.0!
Adapted from CC BY-SA 3.0 Sources:
- Callahan, Daniel: "Euclid’s 'Elements' Redux" 2014
Adapted from (Public Domain)
- Casey, John: "The First Six Books of the Elements of Euclid"
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"