The sciences of geometry & physics are what they are.
I think anyone that passed basic geometry can make an appropriate determination.
If the bridge placement is the same & the the line is the same & the pivot is the same then the outcome must be the same, unless there is an outside influence that affects the outcome.
If the line is determined by objectively looking at the Center to Edge along with the Edge to the Point of A, B, or C at the same time then that puts the shooter on ONE line & One Line Only. So...if the bridge placement is placed down based on that line & at the same distance from the Cue Ball & the Pivot is the exact same, then there is only one outcome angle.
If any of that is changed for any reason then it is done so either,
1. because the shooter changed it on purpose in violation of what the objective visuals should have told him to do
2. it was done so subconsciously based on influences outside of the objective points.
3. what one calls A etc, is not a point but a range of points or the 'edge' is not an edge but a series of 'edges'
In the 5 shots video Stan made a reference to the INNER EDGE. That would imply that there is at least 3 'edges', the inner edge, the actual edge, & the outer edge.
If the points of A, B, & C also have 3 such parts of inner, actual, & outer then the system has much variation & one could say that I used CTE & ET X & then get a whole array of different angled outcomes.
But that would certainly not be what I or I think any logical rational individual would call objective because one individual's 'inner' would be different from the next individual's 'inner'.
100 or 1,000 individuals could have success with something & that something could STILL not be described properly as to what it really & actually is.
I NOT attacking anyone. I just disagree with how CTE is being 'defined' & I am pointing out the reason that I disagree & those reasons are certainly within the sciences of geometry & physics & within the definitions of the actual words used.
I guess I am going to have to paint out the in the shy hypothetical again.
Place yourself up in the big blue sky with a cue ball & an object.
Align yourself so that you see the Center of the cue ball aligned to the Edge of the object ball along with seeing the Edge of the cue ball aligned to the either one of A, B , or C. Now fall into that line with a one half tip offset to whatever side you wish. Now pivot to the center of the cue ball. Shoot the Cue Ball into the Object Ball & the Object Ball will shoot off at given angle.
Do it exactly the same again. What angle would you get? The same angle?
Do it exactly the same again. What angle would you get? The same angle?
Do it exactly the same again. What angle would you get? The same angle?
The answer is YES, YES, & YES. You would get the exact same angle.
The reason is because there are no pockets & no rails & no conscious desire or intention to get any other angle than what the OBJECTIVES of CTE & ETX with the exact same offset & exact same pivot would result in yielding.
So... If one says that they are doing the exact same thing & are getting a different result then SOMETHING THAT IS NON OBJECTIVE MUST HAVE INFLUENCED SOMETHING TO OCCUR DIFFERENTLY and....
whatever influenced the difference is NOT OBJECTIVE.
At least that is how I see it & I think anyone with an ounce of logic & rationality would see it.
AND they would not even have to know anything about geometry, nor physics, nor pool.
You either understand this or you don't. Fanatics very often overlook the shortcomings of what they are fanatic about.
Does CTE work? YES but IMO not as described.
Others say it works just as describe.
Every individual can decide for themselves & should do so.
Merry Christmas to ALL & to ALL a Good Night.
