Before one gets schooled on physics, geometry and algebra, many have an intrinsic sense of them. Many good and great players never get schooled in them for they drop out of school early i.e. Efren etc.. So, the perception and quantification of angles from the CB to OB to pocket/target; english/spin and speed cannot be verbalized to them nor can they verbalize these metrics that they perceive and execute.
I being an engineer and egocentric have been caught in the paradigm that I had a difficulty in understanding why one can’t learn how to shoot pool using them. Spatial comprehension is a given and isn’t or can’t be taught, but is necessary to shoot well.
With these skills, one can grasp aiming using CP to CP, double distance, eclipse/overlap and even GB etc.. Without these skills, one can avail themselves to CTE aiming. With the discipline of CTE aiming, one can develop what is called the visuals and attain the correct stance to execute/effect the shot with or without the offset and pivot of CTE aiming.
I am and have been a believer in CTE aiming - for it works for some, though to me, it isn’t parsimonious.
Just saying.
All aiming tool are created to try to teach someone how to aim and make a ball, but in reality it is only an estimation tool that help beginners guesstimate where about to aim. Ok we all know easy close to pocket 1/2 ball or less angles are easy straight forward with good margin of error of CP provided one have good stroke
Now take OB and CB to behind string line and shoot that same 1/2 ball angle shot shooting at bottom corner pockets , now CP margin of error diminished considerably, i do not care whose system i use finding the rough cp is no issue, but that is not enough to make the ball, especially if OB has a barley ball width pocket, no substitute for visualizing and using brain, and high degree of focus to finding that laser sharp cp, it is a skill have to be learned. It is sort like when looking at a scrambled 3d picture for a while and all of a sudden you see the image, and if your eye blinks there goes the image, pool is 100% the same.
That is why when we are fully rested we see that sharp cp, and when we are tired it takes a little longer, so a good player will keep his CB and angles within the full to 1/4 ball angle so that they do not strain the focus level and loose it when a long key shot larger than 1/2 ball hit comes up.
I hear people say pool physics is like golf, tennis, dart, archery, all these sports use direct vision aiming one degree (that is the target is in front of the tool), where as pool use 2nd degree vision, (the target is hidden from the tool and has to be imagined) kinda like shooting golf with a cue ball glued to the end of the club..
I find this article on the web, does anyone know about it??
http://www.google.com/patents?id=NO6XAAAAEBAJ&printsec=abstract&zoom=4#v=onepage&q&f=false