A New Approach For Smarandache Curves

Abstract

In this paper, we introduce new adjoint curves which are associated curves in Euclidean space of three
 dimension. They are generated with the help of integral curves of special Smarandache curves. We attain some
 connections between Frenet apparatus of these new adjoint curves and main curve. We characterize these curves in
 which conditions they are general helix and slant helix. Finally, we exemplify them with figures

Smarandache Curves of Involute-Evolute Curve According to Frenet Frame

“…Al-Dayal and Solouma study some properties of spacelike Smarandache curves regarding Bishop frame of a spacelike curve in Minkowski 3-space [1]. There are many studies about Smarandache curves [9,11,16] Huygens discovered an involute-evolute curve while trying to build a more accurate clock.…”