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.
![fig14e](https://github.com/bookofproofs/bookofproofs.github.io/blob/main/_sources/_assets/images/euclid/Book02/fig14e.png?raw=true)
Modern Formulation
It is possible to construct a square with the area equal to the area of a given an arbitrary convex \(n\)-sided figure.
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1
Sections: 2
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References
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"