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This is a good video and has a lot of great points but has a technical deficiency. A cue ball striking an object ball half-ball with normal roll actually deflects approximately 40 degrees.
You can find this by refering to the graph shown in the book "The Science of Pocket Billiards" which was written by an engineer.
Jack Koehler's "The Science of Pocket Billiards" Figure 5.5 (page 57) has the cueball deflection angle maxing out at about 38 degrees for a cut that is a little less than half-ball. You have to read his small print. He's not talking about the final PATH of the cueball. Rather he's talking about an effective angle after 24" of cueball travel that incorporates the early curve of the cueball off the tangent line. If he hit a little harder, he'd have a whole new graph.
Yeah ok, I now see what your meaning but never had the protractor out to check it. Infact your video is very good video in this way because it shows you the value of knowing particular cut angles. People should study different cuts for the 1/8 1/4 1/2 3/4 7/8 noting the you add an 1/8 towards the extremities because nothing really happens much different between 1/4,1/2 and 3/4 and just knowing just those 3 angles around these track lines is enough to be very precise.
However, between full ball and three-quarter ball alot happens with the track lines, you need something in the middle of that to have something to reference and you need a half way mark to study. Exactly the same arguement can apply even more so from what would be 'zero' ball to quarter ball because a. zero ball doesn't exist and b. alot happens during that range too.
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You can find this by refering to the graph shown in the book "The Science of Pocket Billiards" which was written by an engineer.
Good video!!