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Download or read book On The Tangent Indicatrix of Special Viviani’s Curve and iIts Corresponding Smarandache Curves According to Sabban Frame written by Süleyman Şenyurt and published by Infinite Study. This book was released on 2023-01-01 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper revisits the special Viviani’s curve and introduces some special Smarandache curves according to Sabban frame. First, Frenet-Serret frame is obtained for the curve, second Saban frame is constructed by considering the tangent indicatrix. Then, the Smarandache curves are defined according to Saban frame. Finally, for each Smarandache curve, the geodesic curvatures are calculated and expressed with the principal curvatures of the special Viviani’s curve.