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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2314| Title: | The Quaternionic Expression of Ruled Surfaces |
| Authors: | Caliskan, Abdussamet Senyurt, Suleyman Ordu Üniversitesi 0000-0002-1512-2452 0000-0003-1097-5541 |
| Keywords: | Quaternion; spatial quaternion; ruled surface; closed ruled surface; distribution parameter; angle of pitch; the pitch |
| Issue Date: | 2018 |
| Publisher: | UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG |
| Abstract: | In this paper, firstly, the ruled surface is expressed as a spatial quaternionic. Also, the spatial quaternionic definitions of the Striction curve, the distribution parameter, angle of pitch and the pitch are given. Finally, integral invariants of the closed spatial quaternionic ruled surfaces drawn by the motion of the Frenet vectors {t, n(1), n(2)} belonging to the spatial quaternionic curve alpha are calculated. |
| URI: | http://doi.org/10.2298/FIL1816753S http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2314 |
| Appears in Collections: | Matematik |
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