The angular momentum of the observer's coordinate system is proportional to the Darboux vector of the frame.
2.
As it does so, the object's motion will be described by two vectors : a translation vector, and a rotation vector "'? "', which is an areal velocity vector : the Darboux vector.
3.
The Darboux vector provides a concise way of interpreting curvature " ? " and torsion " ? " geometrically : curvature is the measure of the rotation of the Frenet frame about the binormal unit vector, whereas torsion is the measure of the rotation of the Frenet frame about the tangent unit vector.
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