enzo said:visualize any shot in your head right now. now picture moving the cueball around to various locations, but leaving the object ball in the same spot. everyone needs to realize there are an infinite number of places you can put the cueball, and thus an infinite number of cut angles. any system you use, for it to be correct, would have to be infinite in its possible solutuions to be correct or valid. i know for a fact there is no system that has an infinite number of solutions (on the contrary, i've heard people say things like there are only 4 shots in pool, bla, bla, that is a huge load of crap). sadly, there is really no debating this. if you do debate it, it's like debating evolution vs creation.... people will debate all they want, but there is one side that is obviously correct.
now, do these systems help people, i'm sure they do. so, good for all the people who get advantage from them, i'd never discourage you from continuing to use it. but the argument that systems are mathematically correct is flawed.
thanks for the discussion everybody!
You just stated the perfect reason why people fail to understand the 3-line system. (there actually are 4 "aim" points)
Here is the "key" to understand...(which alot still won't)....Just because your are "aimied" at the exact same "edge" or "quarter" of the OB does not mean you are "contacting" the same spots.
The "edge" of the ball remains the same...but as the angle steepens or shallows "ever so slightly"...the "actual" contact points will be "ever so slightly" different (even though you are still "aiming" at the edge of the ball.....
I am not trying to say anyone is smarter or dumber here...so please don't take it that way...but from reading these boards and the arguements between some, I do believe that this system takes a type of personality or "brian" that is wired in such a way that they can understand this concept...I fully believe that some people will not be "able" to understand because thier brains are wired different, and can not get past "actual contact point" and "aim" point.
I am also not saying that this is the "only" way to aim...My opinion is whatever you do to make balls that works is fine by me...