English Title
A solution of several Diophantine problems
Enestrom Number
474
Fuss Index
72
Original Language
Latin
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.
Published as
Journal article
Published Date
1776
Written Date
1771
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
E474en.pdf (1802 kB)
