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See :W.F. Osgood,Lehrbuch der Funktionentheorie (Leipzig, Teubner), Vol. 1, 2nd Edition (1912), JordanKurven, pp. 140–150.
See :E. Netto etR. Le Vavasseur, Les fonctions rationnelles [Encyclopédie des Sciences Mathématiques pures et appliquées, Tome I, Vol. II, pp. 1–232], pp. 51–52. The theorems as stated here are of course not limited to rational functions.
A study of the medians of closed convex analytic curves and the possibility of inscribing at least one square in such a curve by the author has recently appeared in the Note :Some Properties of Closed Convex Curves in a Plane [American Journal of Mathematics, Vol. XXXV (1913), pp. 407–412]. See also the article :On Closed Continuous Curves [Bulletin of the American Mathematical Society, Vol. XX (1913–1914), pp. 27–29]. 185–191
Si cfr. per es., oltre Picard [loe. cit.2)]:J. Horn,Einfnührung in die Theorie der partiellen Differentialgleichungen (Leipzig, G. J. Gnöschen, 1910), pag. 167.
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Emch, A. On some properties of closed continuous curves. Rend. Circ. Matem. Palermo 38, 180–184 (1914). https://doi.org/10.1007/BF03015190