It's a different OB edge that's sighted (while still maintaining a CTE alignment) which results in a different CB edge starting position (no longer 9:00, more like 9:30) which results in a different CB center you pivot to which results in a different angle.
Edges shift based on perception. This is the entire key to CTE geometry. The table never moves but the shot rotates around your perspective.
It's all about your cue's angle of attack into the CB. Any change in perspective changes which CB center you pivot to. I'll leave it at that.
Ok, taking it from the top:
1. You approach a 50 degree cut (your best guesstimate, at a glance) from a certain angle/perspective. Your body, your bridge, and your stick fall into a line that is going to be "close" to the correct final alignment needed. At this point you don't know exactly where to aim but you at least know roughly where to plant your bridge hand.
2. Based on this line, you see one single edge of the OB (out of the thousand possible "edges" it could have going around the equator). You point your tip at this edge. In between the tip and the edge of the OB is the CB. You have read somewhere (correctly?) that for this particular cut, you adjust with 1 tip of outside.
To get that 1 tip of outside, you do what?
A. Slide your entire body left so that the tip, butt, and perceived edge are all on the same straight line? (moving your whole body 1 tip left?!)
B. Pivot on your bridge, moving your back hand right so that the tip steers over to the left?
C. Just slide your bridge hand left 1 tip's worth?
D. Doesn't matter? The 1 tip left is to just get your eyes pointing to a place where it can see a new "edge" of the OB?
3. You pivot so that the tip is now aiming through the center of the CB.
If "B" is the answer from the above, this is just undoing what you already did. You started at center, pivoted over 1 tip, then pivoted back to the center. So B must be wrong?
The center of the pivot is what?
A. The middle finger of your bridge hand? This would seem to cause problems. Allen Hopkins going to end up rotating his tip a lot more than Shane Van Boening. The entire stick will be pointed on a different line for both players, wouldn't it?
B. I can't even come up with a B, no matter how hard I try. There is no other center that would suggest rotating the stick clockwise to get back to the middle of the CB.
So now....
4. Pretend you can't see the pocket at all. Slide the cue ball forward 6 inches along the aforementioned line. Slide the OB forward 6 inches along that line. If you weren't aware of the forward slide, and you shot using the same perspective-based pivot, you'd miss.
5. So to make it work, you must have a new perspective-based pivot. Moving both balls forward made a sharper cut. Therefore, you'd walk into the shot from a different angle? Again one that is "close" to the final correct alignment? And because of this new perspective you get the new sighting of a different edge, and a new center of the CB?
If this stuff is on the right track, how do you know you're approaching the shot from the right angle? Will your rough approximation while stepping into the shot... be close enough to get a "valid" edge and therefore a correct pivot?
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Lastly... if you suck at photoshop, see if you can work with this. I drew the two circles as I understood them from the "news flash" post. Are you willing to save this pic and draw a pre-pivot cue stick line, a post pivot line, and where the pivot center was?
And if you want the original photoshop PSD, it's here:
http://creedo.gbgl-hq.com/ctelpivot.psd