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> The apex ball is now the GB for a 30 degree cut on the other wing ball. > This is true no matter how far away the CB is. No disagreement there. And if you move the CB closer to the OB along the "line of aim", then your aiming point doesn't change either. But, if you move the CB directly closer to the OB, then in order to hit that ghost ball position, your "aim point" has to change. It is no longer the edge of the OB. Really, this whole confusion is because I was measuring the cut angle differently than everybody else. I thought a half ball hit was as depicted in http://www.princeton.com/smalus/halfball.gif which I guess isnt correct. Would you agree that what is in the diagram is not in fact a half ball hit?
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