AN EXAMINATION ON HELIX AS INVOLUTE, BERTRAND MATE AND MANNHEIM PARTNER OF ANY CURVE α IN E3

Abstract

In this study we consider three offset curves of a curve a such as the involute curve alpha*, Bertrand mate alpha(1) and Mannheim partner alpha(2). We examined and find the conditions of Frenet apparatus of any curve alpha which has the involute curve a*, Bertrand mate alpha* and Mannheim partner alpha(2) are the general helix.