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A Diophantine Equation and its Solutions

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Concepts & Images

Part of the book series: Design Science Collection ((DSC))

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Abstract

Our next task is to solve equation 5-1 in order to find all permissible combinations of rotocenters. Equation 5-1 is of a special kind called diophantine, after Diophantes of Alexandria, who is presumed to have discovered them. In general, all variables in such an equation are to be rational; in our case they are integers. Although in general one cannot solve a single equation in three variables, the restriction that the variables be integers limits us to a finite number of solutions.

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Notes

  1. Chorbachi, Wasma’a and Arthur L. Loeb: Notation and Nomenclature in Symmetry of Structure, Gy. Darvas and D. Nagy, eds. Budapest (1989).

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© 1993 Springer Science+Business Media New York

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Loeb, A.L. (1993). A Diophantine Equation and its Solutions. In: Concepts & Images. Design Science Collection. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0343-8_6

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  • DOI: https://doi.org/10.1007/978-1-4612-0343-8_6

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6716-4

  • Online ISBN: 978-1-4612-0343-8

  • eBook Packages: Springer Book Archive

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