Özet:

In this study, a new approach was achieved to the rule surfaces produced by the global indicator curve. Regle surface taken as a striction curve resistance curve with the help of the producer’s roof was investigated. Using the curvature theory of the regle surfaces, the theories were given to be geodetic curvature and asymptotic curvature on the surface of the striction curve. Furthermore, the basic forms were calculated with the Gauss and the average curvature of the rule surface. An example was given to the rule surface produced by the global indicator curve.

Anahtar Kelimeler:

Özet:

In this paper, we obtain new approach ruled surface generated by a curve on the surface of sphere called the spherical indicatrix. We expressed ruled surface which the striction curve of the surface will be taken as the base curve using the generator trihedron. We have given theorems for to be the asymptotic and geodesic curve on the surface of the striction curve using the curvature theory of the ruled surfaces. Also, we have calculated the Gaussian and the mean curvature of the ruled surface. We illustrate ruled surface generated by a curve on the surface of sphere called the spherical indicatrix.

Anahtar Kelimeler: