On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:72 Issue:4
On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$

On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$

Authors : Semra Yurttançikmaz

Pages : 867-879

Doi:10.31801/cfsuasmas.1187854

View : 113 | Download : 227

Publication Date : 2023-12-29

Article Type : Research Paper

Abstract :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.
Keywords : Ruled surface, parallel like surface, Darboux frame

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