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Studies in turbine geometry—III the non-oriented line element in two-dimensional mobius geometry

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References

  1. E. A. Weiss, “Die Geschietliche Entwicklung der Lehre von der Geraden-Kugel Transformation,”Deutsche Mathemalik, Jahrg. 3 S. 19.

  2. E. A. Weiss, “Das Linienelement als singulare Punktreihe,”Jour. f.d. reine u, ange. Mathematik, Bd. 117 (1937).

  3. Schake, “Le geometrie degli elementi lineari etc.”,Atii Congr. Bologna,4, 45–50.Vide also Beck, “Uber die Lieschen Abbildungen der Linienelemente auf Raumpunkte,”Math. Zeit., Bd. 42.

  4. E. A. Weiss, “Die orientierten Linienelemente einer Kugel als dreifach binares Gebeit,”Deutsche Mathematik, Jahrg. 3.

  5. R. Vaidyanathaswamy, “On the number of lines which meet 1. regions in hyperspace,”Proc. Camb. Phil. Soc.,22, p. 51.

  6. Vide “The Miquel-Clifford Configuration in the Geometries of Mobius and Lagurre”,Annamalai. Unix. Jour.,7, 6–12.

  7. A line along which the surfaces of a homoloidal web touch a plane counts as two F-lines.Vide Hudson,Cremona Transformations (1927), p. 248.

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The first two papers of this series are: (I) “The Concepts of Turbine Geometry,”Jour. Ind. Math. Soc., New Series,3, 96–108. (II) “On the Sub-geometries of Lie which belong to the Mobius Laguerre Pencil,”Proc. Ind. Acad. Sci., 1938,8, 179–86. These will be referred to briefly as T.G. I and T.G. II.

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Rao, A.N. Studies in turbine geometry—III the non-oriented line element in two-dimensional mobius geometry. Proc. Indian Acad. Sci. (Math. Sci.) 9, 159–173 (1939). https://doi.org/10.1007/BF03045694

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