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Through Points spline, uniqueness

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To my knowledge, three poles together produce a unique degree-2 bezier spline.
 
I just find that, as shown below, with three defining points, there can be a lot of degree-2 bezier splines, although NX Studio Spline gives only one.
 
I wonder whether this might lead to some issues in using Through Points splines, and what rule need be follow to avoid them.
 
Thanks for your comments!
 
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