Associated curves in $E^3$ from a different point of view
Süleyman ŞENYURT,
DAVUT CANLI,
Kebire Hilal AYVACI
Abstract:In this paper, tangent, principal normal and binormal wise associated
curves are defined such that each of these vectors of any given curve
lies on the osculating, normal and rectifying plane of its mate,
respectively. For each associated curves a new moving frame and the
corresponding curvatures are found, and in addition to this the possible
solutions for distance functions between the curve and its associated
mate are discussed. In particular, it is seen that the involute curves
belong to the family of tang… Show more
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