English Title
On cases for which the formula x4+mxxyy+y4 can be reduced to a square
Enestrom Number
755
Fuss Index
52
Original Language
Latin
Archive Notes
An Italian translation of this work has been done by Carmine Suriano.
Content Summary
Euler first dismisses the obvious cases when x=y and m=2 or when one of the values is zero. Then he goes on to solve the problem, finding about 90 values of m less than 200 for which solutions exist (section 13). He closes with a "more elegant solution."
Published as
Journal article
Published Date
1820
Written Date
1782
Original Source Citation
Mémoires de l'académie des sciences de St.-Petersbourg, Volume 7, pp. 10-22.
Opera Omnia Citation
Series 1, Volume 5, pp.35-47.
Record Created
2018-09-25
