E696 -- De casibus quibus hanc formulam x4 + kxxyy + y4 ad quadratum reducere licet

(On the cases in which the form x4 + kxxyy + y4 is permitted to be reduced to a square)


Euler first notes that if the values 1, 3, 4, 5, 6, 7, etc. are substituted for k, then the formula never gives a square, regardless of the values x and y. He repeats several of his results about Pell's equation.

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