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)
Euler seeks x, y, and z that make (x + y)/z ± xx/(zz) and
(x + y)/z ± yy/(zz) both squares.
Originally published in Memoires de l'academie des sciences de St.-Petersbourg 11, 1830, pp. 46-48
Opera Omnia: Series 1, Volume 5, pp. 131 - 134
- Reprinted in Commentat. arithm. 2, 1849, pp. 447-449 [E775a]
- Original publication: E775
- E775 is now available in a translation by Joseph Dexter.
Return to the Euler Archive