E29 -- De solutione problematum diophanteorum per numeros integros

(On the solution of a problem of Diophantus)

Summary:

Euler first searches for integer solutions to axx+bx+c=yy.

According to the records, it was presented to the St. Petersburg Academy on May 29, 1733.

Publication:

Originally published in Commentarii academiae scientiarum Petropolitanae 6, 1738, pp. 175-188
Opera Omnia: Series 1, Volume 2, pp. 6 - 17
Reprinted in Comment. acad. sc. Petrop. 6, ed. nova, Bononiae 1743, pp. 162-174 [E29a]
Reprinted in Commentat. arithm. 1, 1849, pp. 4-10 [E29b]

Documents Available:

Original publication: E029 (in the Commentarii)
Daniel Otero has completed both a transcription and a translation of E29, and has made these available to the Euler Archive:
- Translation: pdf TeX Source
- Transcription: pdf TeX Source
Other works that cite this work include:
- Weil A., Number Theory
- Sandifer E., "Euler and Pell." How Euler Did It. (Published online by the MAA.)

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