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The Generalization of Helices | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 33، دوره 8، شماره 2، آبان 2019، صفحه 178-195 اصل مقاله (170.2 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2019.14595.1356 | ||
| نویسنده | ||
| Takeshi Takahashi* | ||
| Meitoku High School, Nagaoka Niigata, Japan | ||
| تاریخ دریافت: 30 مهر 1397، تاریخ بازنگری: 10 خرداد 1398، تاریخ پذیرش: 26 خرداد 1398 | ||
| چکیده | ||
| We defined new special curves in Euclidean 3-space which refer to clad helices and found the geometric invariants of clad helices [17]. These notions are generalizations of the notion of cylindrical helices and slant helices. Using the geometric invariants of clad helices in this article, we proposed approaches to construct examples of clad helices in E3 and on S2. Moreover, we obtained the classi cation of special developable surfaces under the condition of the existence of clad helices as a geodesic and existence of slant helices as a line of curvature. | ||
| کلیدواژه‌ها | ||
| clad helices؛ slant helices؛ gauss map؛ spherical involute؛ developable surface | ||
| عنوان مقاله [English] | ||
| . | ||
| چکیده [English] | ||
| . | ||
| مراجع | ||
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