Evolutes and Involutes of Frontals in the Euclidean Plane
| Autor: | Fukunaga Tomonori, Takahashi Masatomo |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Demonstratio Mathematica, Vol 48, Iss 2, Pp 147-166 (2015) |
| Druh dokumentu: | article |
| ISSN: | 0420-1213 2391-4661 34406999 |
| DOI: | 10.1515/dema-2015-0015 |
| Popis: | We have already defined the evolutes and the involutes of fronts without inflection points. For regular curves or fronts, we can not define the evolutes at inflection points. On the other hand, the involutes can be defined at inflection points. In this case, the involute is not a front but a frontal at inflection points. We define evolutes of frontals under conditions. T he definition is a generalisation of both evolutes of regular curves and of fronts. By using relationship between evolutes and involutes of frontals, we give an existence condition of the evolute with inflection points. We also give properties of evolutes and involutes of frontals. |
| Databáze: | Directory of Open Access Journals |
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