Literatur
J. éc. polyt., cah. 57 (1887), p. 219. Liouville does not refer to Lie, but the latter, according to Vessiot's report in the Encykl. der Math. (II A 4 b, p. 287), considered the same question in the Norw. Arch. for 1883.
Lie-Scheffers, Differentialgleichungen, p. 157.
Lie-Scheffers, ibid.Differentialgleichungen, There is however a simpler method, namely the intro duction of minimal coordinates, which involves but one quadrature.
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Kasner, E. A characteristic property of isothermal systems of curves. Math. Ann. 59, 352–354 (1904). https://doi.org/10.1007/BF01445146
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DOI: https://doi.org/10.1007/BF01445146