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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4855| Title: | ON RULED SURFACES CONSTRUCTED BY THE EVOLUTION OF A POLYNOMIAL SPACE CURVE |
| Authors: | Eren, Kemal Ayvaci, Kebire Hilal Senyurt, Sueleyman Ordu Üniversitesi 0000-0001-5273-7897 |
| Keywords: | polynomial curve, ruled surface, Flc frame, evolution of curve |
| Issue Date: | 2023 |
| Publisher: | EDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE-TARGOVISTE |
| Citation: | Eren, K., Ayvaci, KH., Senyurt, S. (2023). ON RULED SURFACES CONSTRUCTED BY THE EVOLUTION OF A POLYNOMIAL SPACE CURVE. J. Sci. Arts, 1, 77-90. https://doi.org/10.46939/J.Sci.Arts-23.1-a06 |
| Abstract: | In this paper, we present the evolutions of the ruled surfaces constructed by the tangent, normal-like, and binormal-like vector fields of a polynomial space curve. These evolutions of the ruled surfaces depend on the evolutions of their directrices using the Flc (Frenet like curve) frame along a polynomial space curve. Therefore, the evolutions of a polynomial curve are expressed in the first step of this study. Then, some geometric properties of the special ruled surfaces are investigated and examples of these surfaces are given and their graphics are drawn using the Mathematica 9 program. |
| Description: | WoS Categories: Multidisciplinary Sciences Web of Science Index: Emerging Sources Citation Index (ESCI) Research Areas: Science & Technology - Other Topics |
| URI: | http://dx.doi.org/10.46939/J.Sci.Arts-23.1-a06 https://www.webofscience.com/wos/woscc/full-record/WOS:000967778700006 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4855 |
| ISSN: | 1844-9581 |
| Appears in Collections: | Matematik |
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