5TH INTERNATIONAL ACHARAKA CONGRESS ON LIFE, ENGINEERING, AND APPLIED SCIENCES
THE SMARANDACHE CURVES OF SPECIAL VIVIANI’S CURVE ACCORDING TO SABBAN FRAME BY PRINCIPAL NORMAL INDICATRIX
Yayıncı:
BZT Akademi Yayınevi
In this paper, we first obtain the principal normal indicatrix of the special Viviani’s curve. Then, we define Sabban frame according to the indicatrix curve. Second, by using the orthonormal vectors of Sabban frame, new special Smarandache curves are constructed. Moreover, the geodesic curvature for each Smarandache curve is expressed by means of the curvature and the torsion of Viviani’s curve. The graph of each curve is provided together with their geodesic curvature, as well.
