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Using Maple’s RegularChains Library to Automatically Classify Plane Geometric Loci

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Mathematical Software – ICMS 2014 (ICMS 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8592))

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Abstract

We report a preliminary discussion on the usability of the RegularChains library of Maple for the automatic computation of plane geometric loci and envelopes in graphical interactive environments. We describe a simple implementation of a recently proposed taxonomy of algebraic loci, and its extension to envelopes of families of curves is also discussed. Furthermore, we sketch how currently unsolvable problems in interactive environments can be approached by using the RegularChains library.

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References

  1. Botana, F., Valcarce, J.: A Software Tool for the Investigation of Plane. Loci. Math. Comput. Simul. 61, 139–152 (2003)

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Botana, F., Recio, T. (2014). Using Maple’s RegularChains Library to Automatically Classify Plane Geometric Loci. In: Hong, H., Yap, C. (eds) Mathematical Software – ICMS 2014. ICMS 2014. Lecture Notes in Computer Science, vol 8592. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44199-2_75

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  • DOI: https://doi.org/10.1007/978-3-662-44199-2_75

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44198-5

  • Online ISBN: 978-3-662-44199-2

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