Sorry, Neil, I don't remember your "proof." Please post it again and I'll take a look. And I think you should understand by now that I have taken all this stuff to a table many times.
Here's a wei example for you to explain. These are two shots from Stan's DVD. On mohrt's practice worksheet they are the 6th shot (the 1-ball shot into the upper right pocket with cue ball A) and the 25th shot (the 2-ball shot into the upper left pocket with cue ball B).
The DVD says to use the same alignment-menu choice for both shots -- CB center to OB left edge, secondary alignment point C, and pivot from left to right. The distance between the CB and OB is the same for both shots. The 1-ball shot is 0 degrees -- dead straight. The 2-ball shot is a cut of approximately 20 degrees. How is it possible that the same alignment for these two shots produces such a difference in hit on the two OB's?
P.S. I posted this over 400 posts ago, and no one commented.
I will have to study this a bit more.
In reference to post 976.
AtLarge, Very good job once again with your work on CTE/PRO ONE. The 2 shots in question demonstrate quite well the visual nature of CTE/PRO ONE.
CTE/PRO ONE is a VISUAL SYSTEM.
If a player's eyes were positioned exactly the same for each shot, A and B, the results would be identical.
For the 1 ball shot, a player's body is behind the CB with the headed tilted to the right to see the visuals.
For the 2 ball shot, a player's body is clearly much more to the right of the cue ball than for the 1 ball.
The eyes are in different positions for each shot. The proper visuals are easily obtained for each shot. The table can dictate body and eye positioning and even the distance that eyes are from the CB. That is the nature of the rectanglular table.
Actually shot 2 could be played as a stop shot safety as I demoed on the DVD or possibly an iffy 4 rail bank. BUT, one must postion the eyes just as if they were shooting the 1 ball.
Just because a CB and an OB share a common distance and the same visuals does not mean the eyes will be postioned the same way for each shot. Perception is altered with varied eye positions. As I mentioned on the DVD the table will often dicate a player's ball address postion.
Very commendable work, AtLarge! The 2 shots you presented represent a great lesson in CTE/PRO ONE.
Stan