Ruled surfaces created by special curves
2019
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Advisor: Doç. Dr. İlkay Güven
Abstract (EN)
The ruled surfaces are surfaces formed by a line moving along a curve.In this study; special ruled surfaces have been produced by taking basecurvesdifferent curves. Based on Frenet curve and the W-direction curve of the Frenet curve, two different ruled surfaces were formed. Gaussian and mean curvatures and distribution parameters of these new ruled surfaces were calculated, their developability and minimalities were examined. A comparison was made between these surfaces and properties and results were found.In addition, normal and binormal surfaces which are special ruled surfaces were obtained by taking the base curve as a W-Direction curve.The characterizations of these surfaces were given and base curves were investigated that ,of being asymptotic curve ,geodesic curve and line of curvature.Examples of the specified surfaces were also given.
Author
Dr. Filiz Özsoy
How to Cite
Filiz Özsoy (Master Thesis). Ruled surfaces created by special curves, 2019, Gaziantep University.
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