Use Curves > New Curve-on-surface to draw a curve in the parametric UV space of a surface.
icon, or choose Curves > New Curve-on-surface from the tool palette.
to place a point.
to place a point with the same U coordinate as the previous one.
to place a point with the same V coordinate as the previous one.
snapping to snap to the nearest isoparametric curve intersection.
snapping to snap to the nearest edit point of a curve on surface on that surface.
snapping to snap to another curve-on-surface, or to an isoparametric curve.
(Modeling section),
snapping will automatically snap a new curve-on-surface (CoS) to CoS-CoS intersections on the same surface.
+ Z or Edit > Undo to remove the last point. Use Edit > Redo to put it back.
As with any other operation, the maximum number of undos is set to 11 but can be modified in the Miscellaneous section of Preferences > General Preferences.