E755 -- De casibus, quibus formulam x4 + mxxyy + y4 ad quadratum reducere licet

(On cases for which the formula x4 + mxxyy + y4 can be reduced to a square)


Euler first dismisses the obvious cases when x = y and m = 2 or when one of the values is zero. Then he goes on to solve the problem, finding about 90 values of m less than 200 for which solutions exist (section 13). He closes with a "more elegant solution."

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