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This paper describes method for modelling of helical-n-revolutional cyclical surfaces. The axis of the cyclical surface 1 is the helix s 1 created by revolving the point about n each other revolving axes o n (n = 1,2,3), that move together with Frenet-Serret moving trihedron along the cylindrical helix s. Particular evolutions are determined by its angular velocity and orientation. The moving circle along the helix s or s 1 , where its center lies on the helix and circle lies in the normal plane of the helix creates the cyclical surface.
Dr. Tatiana Olejnikova. 2013. \u201cHelicalaone, two, threearevolutional Cyclical Surfaces\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F4): .
Crossref Journal DOI 10.17406/GJSFR
Print ISSN 0975-5896
e-ISSN 2249-4626
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Total Score: 106
Country: Slovakia
Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision
Authors: Dr. Tatiana Olejnikova (PhD/Dr. count: 1)
View Count (all-time): 85
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Publish Date: 2013 05, Sat
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This paper describes method for modelling of helical-n-revolutional cyclical surfaces. The axis of the cyclical surface 1 is the helix s 1 created by revolving the point about n each other revolving axes o n (n = 1,2,3), that move together with Frenet-Serret moving trihedron along the cylindrical helix s. Particular evolutions are determined by its angular velocity and orientation. The moving circle along the helix s or s 1 , where its center lies on the helix and circle lies in the normal plane of the helix creates the cyclical surface.
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