Proposition: 1.46: Construction of a Square on a Given Segment

(Proposition 46 from Book 1 of Euclid's “Elements”)

To describe a square on a given straight line.


Modern Formulation

Given an arbitrary segment \(\overline{AB}\), it is possible to construct a square on that segment.

Proofs: 1 Corollaries: 1

Proofs: 1 2 3 4 5 6 7 8 9 10 11
Sections: 12

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"