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On approximating the distance trisector curve

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Abstract

Recently we have shown that the distance trisector curve is a transcendental curve. Since from the computational point of view this implies that no closed expression to describe the curve in algebraic terms can be found, it is still of interest to know how to approximate it efficiently by means of polynomial or rational functions. We discuss here some of the remarkable properties of this curve, that among other things lead to very good approximations.

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Acknowledgements

The authors wish to thank the referees for their very careful reading of the manuscript; their suggestions greatly helped to improve the presentation of this work.

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Authors and Affiliations

  1. Dep. de Geometria i Topologia, Universitat de València, Avd. Vicent Andrés Estellés, 1, 46100, Burjassot, València, Spain

    J. Monterde

  2. CIMAT, Jalisco S/N, C.P. 36240, Valenciana, GTO, Mexico

    F. Ongay

Authors
  1. J. Monterde
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  2. F. Ongay
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Corresponding author

Correspondence to F. Ongay.

Additional information

This work was partially supported by Grant MTM2015-64013-P from the Spanish Ministry of Science and Innovation, and by CONACYT (Mexico), Project 106 923.

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Monterde, J., Ongay, F. On approximating the distance trisector curve. Bol. Soc. Mat. Mex. 24, 483–506 (2018). https://doi.org/10.1007/s40590-017-0165-7

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  • DOI: https://doi.org/10.1007/s40590-017-0165-7

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