E775  De binis numeris, quorum summa sive aucta sive minuta tam unius quam alterius quadrato producat quadrata
(On two numbers, of which the sum when increased or decreased by the square of one of them produces a square)
Summary:
Euler seeks x, y, and z that make (x + y)/z ± xx/(zz) and
(x + y)/z ± yy/(zz) both squares.
Publication:

Originally published in Memoires de l'academie des sciences de St.Petersbourg 11, 1830, pp. 4648

Opera Omnia: Series 1, Volume 5, pp. 131  134
 Reprinted in Commentat. arithm. 2, 1849, pp. 447449 [E775a]
Documents Available:
 Original publication: E775
 E775 is now available in a translation by Joseph Dexter.
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