ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME
Yıl: 2019 Cilt: 68 Sayı: 2 Sayfa Aralığı: 1256 - 1264 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.516604 İndeks Tarihi: 20-11-2020
ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME
Öz: In this study, using Darboux frame fT; g; ng of ruled surface '(s; v), the evolute o§sets ' (s; v) with Darboux frame fT; g ; n g of '(s; v) are deÖned. Characteristic properties of ' (s; v) as a striction curve, distribution parameter and orthogonal tra jectory are investigated using the Darboux frame. The distribution parameters of ruled surfaces ' T ; ' g and ' n are given. By using Darboux frame of the surfaces we have given the relations between the instantaneous Pfa¢ an vectors of motions H=H0 and H=H 0 , where H = fT; g; ng be the moving space along the base curve of '(s; v), H = fT; g ; n g be the moving space along the base curve of ' (s; v), H0 and H 0 be Öxed Euclidean spaces.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Boyer, C.A. History of mathematics, New-York, Wiley, 1968.
- [2] Ravani, B. and Ku, T.S. Bertrand o§sets of ruled and developable surfaces, Comp Aided Geom Design, 23 (2), (1991), 145-152.
- [3] Kasap, E. and Kuruoglu, N. The Bertrand o§sets of ruled surfaces in R31, Acta Math. Vietnam, 31 (1), (2006), 39-48.
- [4] Kasap, E. and Y¸ce, S. and Kuruoğlu, N. The Involute-Evolute O§sets of Ruled Surfaces, Iran. J. Sci. Technol. A, (2009), 32 (A2), 195-201.
- [5] Orbay, K. and Kasap,E. and Aydemir, I. Mannheim o§sets of ruled surfaces. · Math Problems Engineering, (2009), Article Id 160917.
- [6] Yoon, D.W. On the evolute o§sets of ruled surfaces in Minkowski 3-space, Turkish Journal of Mathematics, 40, (2016), 594-604.
- [7] Şentürk, G.Y. and Y¸ce, S. Characteristic properties of the ruled surface with Darboux Frame in E3, Kuwait J Sci, 42 (2), (2015) 14-33.
- [8] Şentürk, G.Y. and Y¸ce, S. Bertrand offsets of ruled surfaces with Darboux Frame, Results in Mathematics, 72(3), (2017) 1151-1159.
- [9] Bektaş, Ö. and Yüce, S. Special involute-evolute partner D-curves in E3 , European Journalof Pure and Applied Mathematics, (2013) 6(1), 20-29.
- [10] Darboux, G. LeÁons sur la Theorie generale des Sufaces I-II-III-IV, Gauthier- Villars, Paris, 1896.
| APA | Saçlı G, YÜCE S (2019). ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME. , 1256 - 1264. 10.31801/cfsuasmas.516604 |
| Chicago | Saçlı Gülsüm Yeliz,YÜCE SALİM ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME. (2019): 1256 - 1264. 10.31801/cfsuasmas.516604 |
| MLA | Saçlı Gülsüm Yeliz,YÜCE SALİM ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME. , 2019, ss.1256 - 1264. 10.31801/cfsuasmas.516604 |
| AMA | Saçlı G,YÜCE S ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME. . 2019; 1256 - 1264. 10.31801/cfsuasmas.516604 |
| Vancouver | Saçlı G,YÜCE S ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME. . 2019; 1256 - 1264. 10.31801/cfsuasmas.516604 |
| IEEE | Saçlı G,YÜCE S "ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME." , ss.1256 - 1264, 2019. 10.31801/cfsuasmas.516604 |
| ISNAD | Saçlı, Gülsüm Yeliz - YÜCE, SALİM. "ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME". (2019), 1256-1264. https://doi.org/10.31801/cfsuasmas.516604 |
| APA | Saçlı G, YÜCE S (2019). ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68(2), 1256 - 1264. 10.31801/cfsuasmas.516604 |
| Chicago | Saçlı Gülsüm Yeliz,YÜCE SALİM ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68, no.2 (2019): 1256 - 1264. 10.31801/cfsuasmas.516604 |
| MLA | Saçlı Gülsüm Yeliz,YÜCE SALİM ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.68, no.2, 2019, ss.1256 - 1264. 10.31801/cfsuasmas.516604 |
| AMA | Saçlı G,YÜCE S ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(2): 1256 - 1264. 10.31801/cfsuasmas.516604 |
| Vancouver | Saçlı G,YÜCE S ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(2): 1256 - 1264. 10.31801/cfsuasmas.516604 |
| IEEE | Saçlı G,YÜCE S "ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68, ss.1256 - 1264, 2019. 10.31801/cfsuasmas.516604 |
| ISNAD | Saçlı, Gülsüm Yeliz - YÜCE, SALİM. "ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68/2 (2019), 1256-1264. https://doi.org/10.31801/cfsuasmas.516604 |
