Singularities of pedal curves of frontal curves in the Euclidean plane
Volume 180 / 2026
Colloquium Mathematicum 180 (2026), 69-83
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.
