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.


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.

Proofs: 1

Proofs: 1
Sections: 2

Thank you to the contributors under CC BY-SA 4.0!



Adapted from CC BY-SA 3.0 Sources:

  1. Callahan, Daniel: "Euclid’s 'Elements' Redux" 2014

Adapted from (Public Domain)

  1. Casey, John: "The First Six Books of the Elements of Euclid"

Adapted from (subject to copyright, with kind permission)

  1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"