Normal direction curves and applications

[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.

[学科分类] 数学（综合）

[关键词] associated curve;normal-direction curve;normal-donor curve