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Singularities of pedal curves of frontal curves in the Euclidean plane

Keisuke Teramoto Colloquium Mathematicum MSC: Primary 53A04; Secondary 57R45, 58K05 DOI: 10.4064/cm9663-12-2025 Published online: 4 March 2026

Abstract

We study pedal curves for planar curves, possibly with singularities, called frontal curves. In particular, we analyze the types of singularities on pedal curves for a given frontal in terms of the geometrical properties.

Authors

  • Keisuke TeramotoDepartment of Mathematics
    Yamaguchi University
    753-8512 Yamaguchi, Japan
    e-mail

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