English Title

On two numbers, of which the sum when increased or decreased by the square of one of them produces a square

Authors

Leonhard Euler

Enestrom Number

775

Fuss Index

49

Original Language

Latin

Content Summary

Euler seeks x, y, and z so that (x+y)/z ± xx/(zz) and (x+y)/z ± yy/(zz) are both squares.

Published as

Journal article

Published Date

1830

Written Date

1780

Original Source Citation

Mémoires de l'académie des sciences de St.-Petersbourg, Volume 11, pp. 46-48.

Opera Omnia Citation

Series 1, Volume 5, pp.131-134.

Record Created

2018-09-25

Included in

Mathematics Commons

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