Involute-Evolute Curves According to Modified Orthogonal Frame

Abstract

In this paper, the involute-evolute curve concept has been defined according to two type modified orthogonal frames at non-zero points of curvature and torsion in the Euclidean space E^3 , respectively. Later, the characteristic theorems related to the distance between the corresponding points of these curves have been given. Besides, the relations have been found between the curvatures and also torsions of the two type the involute-evolute modified orthogonal pairs.

On the Characterisations of Curves with Modified Orthogonal Frame in $\mathbb{E}^{3}$

“…Besides, Eren and Köksal [9] investigated the development of space curves with modified orthogonal frames. Azak [10] described the notion of involuteevolute curve according to modified orthogonal frames in 𝔼 3 . This paper studies (𝑘, 𝑚)-type slant helices in compliance with the aforesaid frame in 𝔼 3 .…”