1988•Unpublished venueRequires access
Space Curves
J. J. Stoker
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Abstract
This chapter contains sections titled: Regular curves Length of a curve Curvature of space curves Principal normal and osculating plane Binormal vector Torsion τ of a space curve The Frenet equations for space curves Rigid body motions and the rotation vector The Darboux vector Formulas for κ and τ The sign of τ Canonical representation of a curve Existence and uniqueness of a space curve for given κ(S), τ(S) What about κ = 0? Another way to define space curves Some special curves