آمار
| تعداد نشریات | 26 |
| تعداد شمارهها | 447 |
| تعداد مقالات | 4,557 |
| تعداد مشاهده مقاله | 5,380,003 |
| تعداد دریافت فایل اصل مقاله | 3,580,070 |
Generalization of general helices and slant helices | ||
| Journal of Mahani Mathematical Research | ||
| مقاله 1، دوره 6، شماره 1، مرداد 2017، صفحه 25-41 اصل مقاله (265.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2017.10467.1042 | ||
| نویسنده | ||
| Ahmet T. Ali* | ||
| Al-Azhar University | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| General helix؛ Slant helix؛ Slant-slant helix؛ $k$-slant helix | ||
|
آمار تعداد مشاهده مقاله: 504 تعداد دریافت فایل اصل مقاله: 1,078 |
||