Rectifying Curve: John Oprea's Differential Geometry Book

[thoughtgaze]

In john oprea's differential geometry book he discusses the notion of a rectifying curve.

where the difference of the position vector along the curve and some constant vector lies in the rectifying plane defined by the tangent and binormal vector of the Frenet Frame.

I'm having a hard time thinking of an example of such a curve that is not simply a straight line.

 

[thoughtgaze]

nevermind, i thought of an example