English Title

On a problem of geometry resolved by Diophantine analysis

Authors

Leonhard Euler

Enestrom Number

754

Fuss Index

327

Original Language

Latin

Published as

Journal article

Published Date

1820

Written Date

1782

Content Summary

Euler describes this as a problem in "rational trigonometry" and is looking for the angles where the center of gravity is expressed in rational numbers. He asks that the following three expressions all be squares: 2xx+2yy-zz, 2yy+2zz-xx, 2zz+2xx-yy. He repeats some of the results of E451.

Original Source Citation

Mémoires de l'académie des sciences de St.-Petersbourg, Volume 7, pp. 3-9.

Opera Omnia Citation

Series 1, Volume 5, pp.28-34.

Record Created

2018-09-25

Included in

Mathematics Commons

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