ON THE SECOND ORDER INVOLUTE CURVES IN E-3

Abstract

In this study we worked on the involute of involute curve of curve alpha. We called them the second order involute of curve alpha in E-3. All Frenet apparatus of the second order involute of curve alpha are examined in terms of Frenet apparatus of the curve alpha. Further we show that; Frenet vector fields of the second order involute curve alpha(2) can be written based on the principal normal vector field of curve alpha. Besides, we illustrate examples of our results.