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Les développantes généralisées du second ordre d'une courbe plane

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Summary

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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References

  1. G. Viguier, Ann. Fac. Sci. Toulouse59, fasc. 9,1 (1945): C. R. Acad. Sci. Paris227, No 21–22, nov. 1948.

  2. E. Cartan,Théorie des espaces a connexion projective (Gauthier Villars, Paris 1937).

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Authors and Affiliations

  1. Institut H. Poincaré, Paris

    Gabriel Viguier

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  1. Gabriel Viguier
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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

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  • DOI: https://doi.org/10.1007/BF02153085

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