E452 -- Resolutio aequationis Ax^2+2Bxy+Cy^2+2Dx+2Ey+F=0 per numeros tam rationales quam integros

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. 185-197
Opera Omnia: Series 1, Volume 3, pp. 297 - 309
Reprinted in Commentat. arithm. 1, 1849, pp. 549-555 [E452a]

Documents Available:

Original Publication: E452
Other works that cite this paper include:
- Andre Weil, Number Theory

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