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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 $A$.

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:

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"