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Mirror Curves

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Abstract

To solve the generalised billiard problem we used the generalised reflection method. This method is based on the calculation of M, the mirror image point of the position of the first ball. Point M moves as we move point T along the boundary of the billiard cushion shape, (see chapter 7, Figure 7.2). M traces a mirror curve, which depends on the change of the tangent line at point T. This mirror curve is dependent on the position of point P and the shape of the billiard cushion.

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References

  1. H. J. Bartsch, Taschenbuch Mathematischer Formeln, Fachbuchverlag, Leipzig, BRD, 1991.

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© 1993 Springer-Verlag Berlin Heidelberg

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Bartoň, S. (1993). Mirror Curves. In: Solving Problems in Scientific Computing Using Maple and Matlab ® . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97533-2_8

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  • DOI: https://doi.org/10.1007/978-3-642-97533-2_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57329-6

  • Online ISBN: 978-3-642-97533-2

  • eBook Packages: Springer Book Archive

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