Generalization of general helices and slant helices
عنوان مقاله: Generalization of general helices and slant helices
شناسه ملی مقاله: JR_KJMMRC-6-1_003
منتشر شده در شماره 1 دوره 6 فصل در سال 1396
شناسه ملی مقاله: JR_KJMMRC-6-1_003
منتشر شده در شماره 1 دوره 6 فصل در سال 1396
مشخصات نویسندگان مقاله:
Ahmet Ali - Al-Azhar University
SUHA YILMAZ - BUCA FACULTY OF EDUCATION, DOKUZ EYLUL UNIVERSITY, ۳۵۱۵۰, BUCA-IZMIR, TURKEY,
MURADIYE CIMDIKER - DEPARTMENTS OF MATHEMATICS, KIRKLARELI UNIVERSITY, ۳۹۱۰۰ KIRKLARELI, TURKEY,
خلاصه مقاله:
Ahmet Ali - Al-Azhar University
SUHA YILMAZ - BUCA FACULTY OF EDUCATION, DOKUZ EYLUL UNIVERSITY, ۳۵۱۵۰, BUCA-IZMIR, TURKEY,
MURADIYE CIMDIKER - DEPARTMENTS OF MATHEMATICS, KIRKLARELI UNIVERSITY, ۳۹۱۰۰ KIRKLARELI, TURKEY,
In this work, we use the formal definition of $k$-slant helix cite{ali2} to obtain the intrinsic equations as well as the position vector for emph{slant-slant helices} which a generalization of emph{general helices} and emph{slant helices}. Also, we present some characterizations theorems for $k$-slant helices and derived, in general form, the intrinsic equations for such curves. Thereafter, from a Salkowski curve, anti-salkowski curve, a curve of constant precession and spherical slant helix, as examples of slant helices, we apply this method to find the parametric representation of some emph{slant-slant} helices by means of intrinsic equations. Finally, the parametric representation and the intrinsic equations of textit{Slakowski slant-slant} and textit{Anti-Slakowski slant-slant} helices have been given.
کلمات کلیدی: General helix, Slant helix, Slant-slant helix, $k$-slant helix
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/857220/