The rectifying developable and the spherical Darboux image of a space curve
Volume 50 / 1999
Banach Center Publications 50 (1999), 137-149
DOI: 10.4064/-50-1-137-149
Abstract
In this paper we study singularities of certain surfaces and curves associated with the family of rectifying planes along space curves. We establish the relationships between singularities of these subjects and geometric invariants of curves which are deeply related to the order of contact with helices.