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 |
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| container_end_page | 1997 |
|---|---|
| container_issue | 5 |
| container_start_page | 1988 |
| container_title | Mathematical methods in the applied sciences |
| container_volume | 41 |
| creator | Li, Yanlin Pei, Donghe |
| description | 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. |
| doi_str_mv | 10.1002/mma.4724 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0170-4214 |
| ispartof | Mathematical methods in the applied sciences, 2018-03, Vol.41 (5), p.1988-1997 |
| issn | 0170-4214 1099-1476 |
| language | eng |
| recordid | cdi_proquest_journals_2010661988 |
| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Curves Euclidean geometry frontal Legendre curve pedal curve singularities |
| title | Pedal curves of frontals in the Euclidean plane |
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