On approximating the distance trisector curve
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.
Mathematics Subject ClassificationPrimary 51M05 Secondary 14H50 68U05 65D18
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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