E754 -- Probleme de geometrie resolu par l'analyse de Diophante

(On a problem of geometry resolved by Diophantine analysis)


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.

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