E797 -- Recherches ulterueures et tres curieuses sur le probleme de quatre nombres positifs et un proportion arithmetique tels que la somme de deux quelconques soit toujours un nombre carre
(Further and curious research into the problem of four positive numbers and an arithmetical proportion such that the sum of any two is always a square number)
Summary:
Euler continues his work of E796.
According to the statement on p. 617, it was
presented to the St. Petersburg Academy on April 23, 1781.
Publication:
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Originally published in Commentationes arithmeticae 2, 1849, pp. 617-625
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Opera Omnia: Series 1, Volume 5, pp. 340 - 352
- Reprinted in Opera postuma 1, 1862, pp. 119-127 [E797a]
Documents Available:
- Original publication: E797
- A translation of E797 has been prepared by Kathryn Robertson and Abdul Hassen. Their translation also includes a series of notes containing helpful commentary.
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