Part Modeling > Datum Features > Datum Curves > Datum Curves through Points > Rules for Creating a Datum Curve with the On Surface Option
  
Rules for Creating a Datum Curve with the On Surface Option
Consider the following rules for a curve created through points:
Selecting the Place curve on surface check box might conflict with some of the previous settings that you defined for that curve. For example, the points selected to define the curve lie on the surface, and the tangency conditions must be possible for the selected surface. When a conflict is detected, you are prompted to resolve it by removing invalid references.
When you select the Place curve on surface check box on the Placement tab, you cannot select the Tweak curve check box on the Options tab.