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Euler gives a continued fraction representation of (1 + x)n. involving1,3,5,7,... and n^2-1,n^2-4,n^3-9,... and squares of z, for x=2y and y=z/(1-z).He evaluates this continued fraction at z=t sqrt(-1), for "vanishing" n, andfor infinite n and deduces a continued fraction for log, arctan, etc. The paperis translated from Euler's Latin original into German.

Commentatio in fractionem continuam, qua illustris La Grange potestates binomiales expressit