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

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

Included in

Mathematics Commons

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