Normal direction curves and applications

Miskolc Mathematical Notes

article

Sezai Kiziltug¹  Mehmet Önder²  Yusuf Yayli³ 

[1] Erzincan Binali Yıldırım University, Faculty of Arts and Sciences, Department of Mathematics, 24030, Erzincan;Delibekirli Village;Ankara University, Faculty of Sciences, Department of Mathematics

关键词: associated curve;    normal-direction curve;    normal-donor curve;   

DOI  :  10.18514/MMN.2021.1476

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

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.

【 授权许可】

CC BY