Solutio problematis difficillimi, quo hae duae formulae aaxx+bbyy et aayy+bbxx quadrata reddi debent
English Title
A solution of a most difficult problem, in which the two forms aaxx+bbyy and aayy+bbxx must be rendered into squares
Enestrom Number
773
Fuss Index
47
Original Language
Latin
Content Summary
Euler first finds three families of particular solutions to the problem, then proceeds to a general solution. Finally, he extends the problem to finding a, b, c, and d that make all of the following three expressions into squares: aabb+ccdd, aacc+bbdd, aadd+bbcc.
Published as
Journal article
Published Date
1830
Written Date
1780
Original Source Citation
Mémoires de l'académie des sciences de St.-Petersbourg, Volume 11, pp. 12-30.
Opera Omnia Citation
Series 1, Volume 5, pp.94-115.
Record Created
2018-09-25
E773en.pdf (245 kB)
