E754  Probleme de geometrie resolu par l'analyse de Diophante
(On a problem of geometry resolved by Diophantine analysis)
Summary:
Euler describes this as a problem in "rational trigonometry" and is looking for the angles so that 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.
Publication:

Originally published in Memoires de l'academie des sciences de St.Petersbourg 7, 1820, pp. 39

Opera Omnia: Series 1, Volume 5, pp. 28  34
 Reprinted in Commentat. arithm. 2, 1849, pp. 488491 [E754a]
Documents Available:
 Original publication: E754
 A translation of E754 into English has been done by Benjamin Linowitz of Dartmouth College.
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