English Title

A solution of a most difficult problem, in which the two forms aaxx+bbyy and aayy+bbxx must be rendered into squares

Authors

Leonhard Euler

Enestrom Number

773

Fuss Index

47

Original Language

Latin

Published as

Journal article

Published Date

1830

Written Date

1780

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.

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

Included in

Mathematics Commons

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