New Results for General Helix in Euclidean 3-space

Abstract

Finding parametric equation of a space curve is not easy task when its curvature functions are given. It is well known that this problem is known as fundamental theorem of a space curve. If the curvature functions are functions of arc-length, the solution of this problem is usually impossible. In this study, we discuss the answer of the problem when the curve is a general helix in Euclidean 3-space. By using slope axis of general helix, we get parametric equations of a general helix. Also, we give some examples and their figures.