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Bertrand curves in 3-dimensional Euclidian space

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2007
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Abstract (EN)

This thesis consists of six chapters. In the first section, some definitions and theorems in the thesis were given. In the second section, some definitions and theorems a bout curves and frenet formulas in the Euclidian space were written. In the third section, involute and evolute curves were defined and related properties were given. In the fourth section, some definitions about Bertrand curves were given and related theorems were studied. In the fifth section, Weakened Bertrand curves were studied. In the sixth section, some applications were done a bout the subject. Key Words: 3-Dimensional Euclidian Space, Frenet Formula, First and Second Curvature of Curves, Involute-Evolute, Frenet Bertrand-Weakened Bertrand Curves.

Author

Melike Tarhan

How to Cite

Melike Tarhan (Master Thesis). Bertrand curves in 3-dimensional Euclidian space, 2007, Fırat University.

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