English Title

A solution of several Diophantine problems

Authors

Leonhard Euler

Enestrom Number

474

Fuss Index

72

Original Language

Latin

Published as

Journal article

Published Date

1776

Written Date

1771

Content Summary

Euler is searching for squares, with the standing assumption is that two pairs of squares xx, yy and tt, uu are given. In the first problem, he wants (xx+yy)(ttxx+uuyy) and (xx+yy)(uuxx+ttyy) to be squares. In the second problem, he wants (ttxx + uuyy)(uuxx+ttyy) to be a square. Lastly, he wants ttxx+uuyy and ttyy+uuxx to be squares.

Original Source Citation

Novi Commentarii academiae scientiarum Petropolitanae, Volume 20, pp. 48-58.

Opera Omnia Citation

Series 1, Volume 3, pp.405-417.

Record Created

2018-09-25

Included in

Mathematics Commons

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