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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 939 - 949 (11page)
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초록· 키워드
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In this paper, we give an algorithm to construct a space curve in Euclidean 3-space $\mathbb{E}^3$ from a plane curve which is called PDP-helix of order $d$.
The notion of the PDP-helices is a generalization of a general helix and a slant helix in $\mathbb{E}^3$.
It is naturally shown that the PDP-helix of order 1 and order 2 are the same as the general helix and the slant helix, respectively.
We give a characterization of the PDP-helix of order $d$. Moreover, we study some geometric properties of that of order 3.
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참고문헌 (6)
참고문헌 신청
J. Bertrand / 1850 / La theories des courbes a double courbure / Journal de Mathematiques Pures et Appliquees 15:332~350
J. H. Choi / 2012 / Associated curves of a Frenet curve and their applications / Appl. Math. Comput. 218:9116~9124
T. A. Cook / 1914 / The Curves of Life / Constable
C. Camc / 2013 / Hamornic curvatures and generalized helices in En / Math. Commun. 18:241~256
S. Izumiya / 2004 / New special curves and developable surfaces / Turk. J. Math. 28:531~537
J. H. Choi / 2012 / Associated curves of a Frenet curve and their applications / Appl. Math. Comput. 218:9116~9124
T. A. Cook / 1914 / The Curves of Life / Constable
C. Camc / 2013 / Hamornic curvatures and generalized helices in En / Math. Commun. 18:241~256
S. Izumiya / 2004 / New special curves and developable surfaces / Turk. J. Math. 28:531~537
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