On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$
Yıl: 2023 Cilt: 72 Sayı: 4 Sayfa Aralığı: 867 - 879 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.1187854 İndeks Tarihi: 25-12-2023
On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$
Öz: In this paper, it has been researched curves lying on parallel-like surfaces $M^{f}$ of the ruled surface $M$ in $E^{3}$. Using the definition of parallel-like surfaces it has been found parametric expressions of parallel-like surface of the ruled surface and image curve of the directrix curve of the base surface. Moreover, obtaining Darboux frames of curves lying on surfaces $M$ and $M^{f}$, it has been compared the geodesic curvatures, the normal curvatures and the geodesic torsions of these curves.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Yurttançıkmaz S (2023). On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$. , 867 - 879. 10.31801/cfsuasmas.1187854 |
| Chicago | Yurttançıkmaz Semra On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$. (2023): 867 - 879. 10.31801/cfsuasmas.1187854 |
| MLA | Yurttançıkmaz Semra On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$. , 2023, ss.867 - 879. 10.31801/cfsuasmas.1187854 |
| AMA | Yurttançıkmaz S On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$. . 2023; 867 - 879. 10.31801/cfsuasmas.1187854 |
| Vancouver | Yurttançıkmaz S On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$. . 2023; 867 - 879. 10.31801/cfsuasmas.1187854 |
| IEEE | Yurttançıkmaz S "On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$." , ss.867 - 879, 2023. 10.31801/cfsuasmas.1187854 |
| ISNAD | Yurttançıkmaz, Semra. "On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$". (2023), 867-879. https://doi.org/10.31801/cfsuasmas.1187854 |
| APA | Yurttançıkmaz S (2023). On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 72(4), 867 - 879. 10.31801/cfsuasmas.1187854 |
| Chicago | Yurttançıkmaz Semra On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 72, no.4 (2023): 867 - 879. 10.31801/cfsuasmas.1187854 |
| MLA | Yurttançıkmaz Semra On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.72, no.4, 2023, ss.867 - 879. 10.31801/cfsuasmas.1187854 |
| AMA | Yurttançıkmaz S On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2023; 72(4): 867 - 879. 10.31801/cfsuasmas.1187854 |
| Vancouver | Yurttançıkmaz S On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2023; 72(4): 867 - 879. 10.31801/cfsuasmas.1187854 |
| IEEE | Yurttançıkmaz S "On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 72, ss.867 - 879, 2023. 10.31801/cfsuasmas.1187854 |
| ISNAD | Yurttançıkmaz, Semra. "On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 72/4 (2023), 867-879. https://doi.org/10.31801/cfsuasmas.1187854 |
