E452  Resolutio aequationis \(Ax^2 + 2Bxy + Cy^2 + 2Dx + 2Ey + F = 0\) per numeros tam rationales quam integros
(The resolution of the equation \(Ax^2 + 2Bxy + Cy^2 + 2Dx + 2Ey + F = 0\) by rational and integral numbers)
Summary:
This is another paper on extending a known solution to the equation to find new solutions.
According to the records, it was presented to the St. Petersburg Academy on November 19, 1772.
Publication:

Originally published in Novi Commentarii academiae scientiarum Petropolitanae 18, 1774, pp. 185197

Opera Omnia: Series 1, Volume 3, pp. 297  309
 Reprinted in Commentat. arithm. 1, 1849, pp. 549555 [E452a]
Documents Available:
 Original Publication: E452
 Other works that cite this paper include:
 Andre Weil, Number Theory
Return to the Euler Archive