Pedal curves of frontals in the Euclidean plane

DOI10.1002/mma.4724zbMath1391.53003OpenAlexW2792153344MaRDI QIDQ4643987

Yanlin Li, Dong He Pei

Publication date: 30 May 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4724

zbMATH Keywords

singularitiesLegendre curvefrontalpedal curve

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (13)

Tangent developables and Darboux developables of framed curves ⋮ Evolving evolutoids and pedaloids from viewpoints of envelope and singularity theory in Minkowski plane ⋮ Geometric algebra of singular ruled surfaces ⋮ Pedal coordinates and free double linkage ⋮ Primitivoids and inversions of plane curves ⋮ Pedal and contrapedal curves of framed immersions in the Euclidean 3-space ⋮ On (contra)pedals and (anti)orthotomics of frontals in de Sitter 2‐space ⋮ Involute–evolute and pedal–contrapedal curve pairs on S² ⋮ Singularities and dualities of pedal curves in pseudo-hyperbolic and de Sitter space ⋮ Lightlike tangent developables in de Sitter 3-space ⋮ Evolutoids and pedaloids of Minkowski plane curves ⋮ On evolutoids and pedaloids in Minkowski 3-space ⋮ Anti-orthotomics of frontals and their applications

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