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, Umberto (Scuola Normale Superiore : Imprint: Edizioni della Normale, 2014)