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Measurability of the ellipses’ family and of the hyperbolae’s family in the affine spaceA 3

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Abstract

In this work we prove the measurability of the ellipses’ family in the affine spaceA 3 and consequently we give its elementary measure; then we prove that also the hyperbolae’s family inA 3 is measurable and we give its elementary measure, too.

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References

  1. De Toma V., Raguso G.,Ricerca della densità della famiglia di varietà formata da due rette e un piano, Rend. Circ. Mat. Palermo, Serie II, Suppl.,70 (2002), 219–227 (IV International Conference in “Stochastic Geometry, Convex Bodies, Empirical Measure and Applications to Engineering Science”, 2001).

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  2. Duma A., Stoka M. I.,On the measurability of the conic sections’ family in the projective space ℘ 3, Rend. Circ. Mat. Palermo,51 (2002), 537–548.

    Article  MathSciNet  MATH  Google Scholar 

  3. Speciale A.,Misurabilità della famiglia degli ellissoidi dello spazio proiettivo ℘ 3, Atti Acc. Sci. Lett. Arti Palermo,36 parte I, (1976–77), 411–417.

    MathSciNet  Google Scholar 

  4. Speciale A.,Misurabilità della famiglia degli iperboloidi dello spazio proiettivo ℘ 3, Atti Acc. Sci. Lett. Arti Palermo,36 parte I, (1976–77), 419–424.

    MathSciNet  Google Scholar 

  5. Stoka M.I.,Géométrie Intégrale, Mém. Sci. Math.,165, Gauthier-Villars, Paris, 1968.

    MATH  Google Scholar 

  6. Stoka M.I.,Geometria integrale in uno spazio euclideo E n, Boll. Un. Mat. Italiana,13, (1958), 470–485.

    MathSciNet  MATH  Google Scholar 

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Correspondence to Vincenzo De Toma.

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De Toma, V. Measurability of the ellipses’ family and of the hyperbolae’s family in the affine spaceA 3 . Rend. Circ. Mat. Palermo 55, 398–419 (2006). https://doi.org/10.1007/BF02874779

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  • DOI: https://doi.org/10.1007/BF02874779

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