Pedal curves of frontals in the Euclidean plane

Pedal curves of frontals in the Euclidean plane

In this paper, we will give the definition of the pedal curves of frontals and investigate the geometric properties of these curves in the Euclidean plane. We obtain that pedal curves of frontals in the Euclidean plane are also frontals. We further discuss the connections between singular points of...

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Veröffentlicht in:Mathematical methods in the applied sciences 2018-03, Vol.41 (5), p.1988-1997
Hauptverfasser: Li, Yanlin, Pei, Donghe
Format: Artikel
Sprache:eng
Schlagworte:
Curves
Euclidean geometry
frontal
Legendre curve
pedal curve
singularities
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Beschreibung
Zusammenfassung:In this paper, we will give the definition of the pedal curves of frontals and investigate the geometric properties of these curves in the Euclidean plane. We obtain that pedal curves of frontals in the Euclidean plane are also frontals. We further discuss the connections between singular points of the pedal curves and inflexion points of frontals in the Euclidean plane.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4724