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Primitivoids and inversions of plane curves

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Abstract

The pedal of a curve in the Euclidean plane is a classical subject which has a singular point at the inflection point of the original curve. The primitive of a curve is a curve given by the inverse construction for making the pedal. We consider relatives of the primitive of a plane curve which we call primitivoids. We investigate the relationship of primitivoids and pedals of plane curves.

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Authors and Affiliations

  1. Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

    Shyuichi Izumiya

  2. Department of Mathematics, Tokyo Gakugei University, Koganei, Tokyo, 184-8501, Japan

    Nobuko Takeuchi

Authors
  1. Shyuichi Izumiya
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  2. Nobuko Takeuchi
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Correspondence to Shyuichi Izumiya.

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Izumiya, S., Takeuchi, N. Primitivoids and inversions of plane curves. Beitr Algebra Geom 61, 317–334 (2020). https://doi.org/10.1007/s13366-019-00472-9

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  • DOI: https://doi.org/10.1007/s13366-019-00472-9

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