MMN-1476

Normal direction curves and applications

Sezai Kiziltug; Mehmet Önder; Yusuf Yayli;

Abstract

In this study, we define a new type of associated curves in the Euclidean 3-space such as normal-direction curve and normal-donor curve. We obtain characterizations for these curves. Moreover, we give applications of normal-direction to some special curves such as helix, slant helix, plane curve or normal-direction ( ND)-normal curves in 3 E . And, we show that slant helices and rectifying curves can be constructed by using normal-direction curves.


Vol. 22 (2021), No. 1, pp. 363-374
DOI: https://doi.org/10.18514/MMN.2021.1476


Download: MMN-1476