The geodesics on a general cylinder generated by lines parallel to a line 
with which the tangent makes a
constant angle.
Generalized Helix
See also
HelixExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Generalized Helix." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GeneralizedHelix.html