In addition to the points that are an integral part of Point Curve and Point Surface objects, you can create "free-standing" points. Such points can help you construct Point Curves by using the Curve Fit button in one of the Create Curves rollouts. You also use dependent points to trim curves.
You create individual points as NURBS sub-objects, while you are modifying a NURBS curve or NURBS surface. To create points individually, you use the Create Points rollout.
These are the toolbox buttons for creating Point sub-objects:
Create an independent point.
Create a dependent point point.
Create a dependent curve point.
Create a dependent curve-curve intersection point.
Create a dependent surface point.