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)
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.
Originally published in Novi Commentarii academiae scientiarum Petropolitanae 18, 1774, pp. 185-197
Opera Omnia: Series 1, Volume 3, pp. 297 - 309
- Reprinted in Commentat. arithm. 1, 1849, pp. 549-555 [E452a]
- Original Publication: E452
- Other works that cite this paper include:
- Andre Weil, Number Theory
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