Surface Edge Curve 
Select NURBS object. > Modify panel > Create Curves rollout > Dependent Curves group box > Surf Edge button
Select NURBS object. > Modify panel > NURBS toolbox > Create Surface Edge Curve button
A surface edge curve is a dependent curve type that lies on the boundary of the surface. It can be the original boundary of
the surface, or a trim edge.
To create a surface edge curve:
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Turn on Surf Edge.
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As you move the mouse in the scene, NURBS surface edges are highlighted in blue. Click the edge where you want to create the
curve.
Surface Edge Curve rollout (creation time)
Seed 1 and Seed 2—The curve resides on the edge closest to the two seed values. Adjust the seed values to change the edge on which the curve
resides.
Surface Edge Curve rollout (modification time)
Seed 1 and Seed 2—The curve resides on the edge closest to the two seed values. Adjust the seed values to change the edge on which the curve
resides.
Replace Surface— This lets you replace the parent surface. Click a button, then click a surface to replace the original parent surface.