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.

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