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Surface pencil along a common spatial geodezic according to positional adapted frame in Euclidean 3-space

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2025
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Abstract (EN)

In this thesis, firstly, surface pencil that pass through any given space curve and accept this curve as a geodesic curve will be studied. By using the positional adapted frame vectors of this curve, the surface pencil will be obtained as a linear combination of the components of the local coordinate frame and the necessary and sufficient conditions will be investigated. The surface pencils to be obtained theoretically will be supported with examples and visualized with drawing programs. Finally, the geometric properties of the new equations obtained will be examined.

Author

Bilge Karahan

How to Cite

Bilge Karahan (Master Thesis). Surface pencil along a common spatial geodezic according to positional adapted frame in Euclidean 3-space, 2025, Selçuk University.

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