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On the algebraic curves of a tetrahedral complex and the surfaces conjugate to it

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Rendiconti del Circolo Matematico di Palermo (1884-1940)

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References

  1. de La Gournerie,Recherches sur les surfaces réglées tétraédrales symétriques (Paris, GauthierVillars, 1867). 2)Sophus Lie undG. Scheffers,Geometrie der Berührungstransfortnationen (Leipzig, Teubner, 1896), pp. 387–388.

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  2. Lie-Scheffers, loc. cit. 3), pp. 381 and 392.

  3. LlE-ScHEFFERS, loc. cit. 2a), p. 393.

  4. LlE-SCHEFFERS, loe. cit. 2), p. 343.

  5. Lle-Scheffers, loc. Cit. 2), pp. 39I-392.

  6. We have not taken the trouble to calculate the parametersp, q, r ands: it is sufficient to know that such a relation exists.

  7. M. NoETHER,Ueber Flächen, welche Schaaren rationaler Curven besityn [Mathematiche Annalen, Bd. III (1871), pp. 161–227]. See also:É. Picard,Traité ďAnalyse (Paris, Gauthier-Villars), Tome II (1905), pp. 499–500.

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  8. See Note byL. Heffter,Zur Théorie der Resultanten [Mathematische Annalen, Bd. LIV (1901), pp. 541–544].

  9. N. H. Abel,œuvres complètes (Christiania, Gröndahl & Sön, 1881), tome II:Théorie des transcendantes cttipliques, chap. II, pp. 106–168.

  10. See:Lie-Scheffers, loc. cit. 2), pp. 365–366.

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Authors and Affiliations

  1. Morgantown, W.Va.

    John Eiesland

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  1. John Eiesland
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Eiesland, J. On the algebraic curves of a tetrahedral complex and the surfaces conjugate to it. Rend. Circ. Matem. Palermo 36, 233–275 (1913). https://doi.org/10.1007/BF03016030

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