g-chordal curves

• Autorzy: Cieślak W. , Wołowik J.
• Języki publikacji: EN

Abstrakty

EN

In this paper we introduce a notion of g-chordal curves which are a natural generalization of equichordal, equireciprocal and equipower curves. A Crofton-type integral formula and estimations of the area and the length of g-chordal curve are given. Moreover, a 1-parameter family of ovals with exactly four vertices in the class generated by the function g (x) = xm is constructed. A remark on the equichordal problem ends the paper.

Słowa kluczowe

EN

curves; Crofton formula

PL

krzywe; wzór Croftona

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 2
• Strony: 411--422
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Cieślak W.

autor

Wołowik J.

• Politechnika Lubelska Katedra Matematyki i Geometrii Inżynierskiej ul. Nadbystrzycka 40 20-618 Lublin, Poland

Bibliografia

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