On some applications of diophantine approximations : (a translation of Carl Ludwig Siegel's Über einige Anwendungen diophantischer Approximationen by Clemens Fuchs) with a commentary and the article Integral points on curves: Siegel's theorem after Siegel's proof by Clemens Fuchs and Umberto Zannier - Zannier, U. (Umberto), 1957-; Fuchs, Clemens, 1976-; Siegel, C. L. (Carl Ludwig), 1896-1981 (Publications of the Scuola Normale Superiore. Monographs ;, 2014)