Article
A new study on focal surface of a given surface
Authors
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Abstract
Focal surfaces are special cases of line congruences. With the aid of the definition of a focal surface of a given surface M, we obtain a new type of focal surface in Galilean 3-space G3. We show that the focal surface we found is not the same type of surface as the given surface. We present the visualizations of the focal surface and the given surface with an example. Lastly, by searching the curvature functions, we give the minimality conditions of the focal surface.
Keywords
Line congruence, focal surface, tubular surface, Galilen Space.
Citation
Kisi, I. & Orturk, G. (2020). A new study on focal surface of a given surface. Turkish Journal of Science, 5(3), 208–213. https://doi.org/10.66833/TJOS-2020-0022
I. Kisi and G. Orturk, “A new study on focal surface of a given surface,” Turkish Journal of Science, vol. 5, no. 3, pp. 208–213, 2020, doi: 10.66833/TJOS-2020-0022.
Kisi I, Orturk G. A new study on focal surface of a given surface. Turkish Journal of Science. 2020;5(3):208–213. doi:10.66833/TJOS-2020-0022.
Kisi, I. and Orturk, G. (2020), ‘A new study on focal surface of a given surface’, Turkish Journal of Science, 5(3), pp. 208–213. Available at: https://doi.org/10.66833/TJOS-2020-0022.
Kisi, Ilim, and Gunay Orturk. “A New Study on Focal Surface of a Given Surface.” Turkish Journal of Science, vol. 5, no. 3, 2020, pp. 208–213. https://doi.org/10.66833/TJOS-2020-0022.
Kisi, Ilim, and Gunay Orturk. “A New Study on Focal Surface of a Given Surface.” Turkish Journal of Science 5, no. 3 (2020): 208–213. https://doi.org/10.66833/TJOS-2020-0022.
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Published by: Engineering Journals


