De casibus, quibus formulam x⁴+mxxyy+y⁴ ad quadratum reducere licet

English Title

On cases for which the formula x⁴+mxxyy+y⁴ can be reduced to a square

Authors

Leonhard Euler

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