Colin, I'm reposting these pictures from the "mathematical aiming system" thread you created, because they are incredibly relevant to resolving the pivot system arguments. If the graph below actually represents the variety of pivots/bridge hand adjustments required to pocket the variety of labelled shots, then way back in November of 2005
you had already proven that one or two pivots do not fit all shots. Thanks for sparing me from having to create my own experiments. I'd rep you up and down, but I did so too recently.
RESPECTFULLY, YOUR THESIS IS FLAWED. THERE ARE NOT MERELY ONE OR TWO PIVOTS. THE PIVOT IS A FUNCTION OF THE CTE LINE WHICH IS INFINITELY WITH THE CB/OB POSITIONS.
IF SOMEONE SUGGESTED THAT THERE ARE ONLY TWO PIVOTS ON A PLAYGROUND SEE SAW...I.E. UP AND DOWN...THEY WOULD BE WRONG BECAUSE THE SEE SAW ITSELF CAN BE MOVED.
TO MERGE THE ANALOGY, YES YOU CAN ONLY PIVOT LEFT OR RIGHT BUT THE CB/OB MOVE SO THERE ARE A VERY LARGE NUMBER OF PIVOTS RESULTING THE THE CUE POINTING DOWN A LINE OF AIM THAT WILL DIRECT THE OB TO THE POCKET.
I agree that if the Pro One system can place the bridge hand in a simpler way than you explain here:
http://forums.azbilliards.com/showthread.php?t=21113&page=3
then it would certainly be a fantastic system. But (no matter how much you will protest Jim) looking at your graph and seeing how many subtle adjustments would have to be made, I doubt very much that it can do all of the math on its own. Which is probably the reason it took so long for someone like a Landon Shuffett, who is perfectly capable of making a good stroke, to adopt it.
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