Evolutes and involutes of frontals in the euclidean plane

• Autorzy: Fukunaga T. , Takahashi M.
• Języki publikacji: EN

Abstrakty

EN

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. The 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.

Słowa kluczowe

EN

evolutes; involute; frontal; legendre curve; inflection point

PL

ewoluta; ewolwenta; punkt przegięcia

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2015
• Tom: Vol. 48, nr 2
• Strony: 147--166
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Fukunaga T.

• Kyushu Sangyo University, Fukuoka 813-8503, Japan

autor

Takahashi M.

• Muroran Institute of Technology, Muroran 050-8585, Japan

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