E452 -- Resolutio aequationis Ax2 + 2Bxy + Cy2 + 2Dx + 2Ey + F = 0 per numeros tam rationales quam integros
(The resolution of the equationAx2 + 2Bxy + Cy2 + 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:
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Originally published in Novi Commentarii academiae scientiarum Petropolitanae 18, 1774, pp. 185-197
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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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