From an absolutely arbitrary plane curve, particular involutes are drawn the study of which is reduced to that of a differential equation of the second order. As a particular case,Abel's equation is derived again, alsoRiccati's equation with the reduced form ofE. Cartan.
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G. Viguier, Ann. Fac. Sci. Toulouse59, fasc. 9,1 (1945): C. R. Acad. Sci. Paris227, No 21–22, nov. 1948.
E. Cartan,Théorie des espaces a connexion projective (Gauthier Villars, Paris 1937).
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Viguier, G. Les développantes généralisées du second ordre d'une courbe plane. Experientia 6, 134–135 (1950). https://doi.org/10.1007/BF02153085