E748 -- Investigatio quadrilateri, in quo singulorum angulorum sinus datam inter se teneant rationem, ubi artificia prorsus singularia in Analysi Diophantea occurrunt
(Translate title)
Summary:
Somehow, he reduces this to the Diophantine problem: Given four square numbers aa, bb, cc, and dd,
to find two numbers z and v such that z - aav, z - bbv, z - ccv and z - ddv all make square numbers.
Publication:
- Originally Published in Memoires de l'academie des sciences de St.-Petersbourg 5 (1812), 1815, pp. 73-95
- Opera Omnia: Series 1, Volume 7, pp. 291-392
- Reprinted in Commentat. arithm. 2, 1849, pp. 380-391 [E748a]
Documents Available:
- Original publication: E748
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