Flash MX 2004.
edge.getControl(i)
i An integer that specifies which control point of the edge to return. Specify 0 for the first control point, 1 for the middle control point, or 2 for the end control point. If the edge.isLine property is true, the middle control point is set to the midpoint of the segment joining the beginning and ending control points.
The specified control point.
Method; gets a point object set to the location of the specified control point of the edge.
The following example stores the first control point of the specified shape in the pt variable:
var shape = fl.getDocumentDOM().selection[0];
var pt = shape.edges[0].getControl(0);