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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2412| Title: | ON THE SABBAN FRAME BELONGING TO INVOLUTE-EVOLUTE CURVES |
| Authors: | Altun, Yasin Cevahir, Ceyda Kocayigit, Huseyin Senyurt, Suleyman Ordu Üniversitesi |
| Keywords: | geodesic curvature; involute-evolute curves; Sabban frame; Smarandache curves |
| Issue Date: | 2019 |
| Publisher: | VINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIA |
| Abstract: | In this paper, we investigate special Smarandache curves with regard to Sabban frame of involute curve. We create Sabban frame belonging to spherical indicatrix of involute curve. Smarandache curves are explained by Sabban vectors belonging to spherical indicatrix. Then, we calculate geodesic curvatures of this Smarandache curves. The results found for each curve is given depending on evolute curve. The example related to the subject is given and their figures are drawn with MAPPLE program. |
| URI: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361900054S.pdf http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2412 |
| Appears in Collections: | Matematik |
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