Lemma: Lem. 10.028.1: Finding Two Squares With Sum Also Square

(Lemma 1 to Proposition 28 from Book 10 of Euclid's “Elements”)

To find two square numbers such that the sum of them is also square.

Modern Formulation

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Proofs: 1

Proofs: 1 2 3 4 5 6 7
Propositions: 8 9 10 11 12 13


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References

Adapted from (subject to copyright, with kind permission)

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