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This is in part a question and a statement. Have you ever noticed that when most people refer to "throw" or use examples of "throw" they are almost always referring to balls that are frozen (touching)? Either the cue ball is frozen to one or more object balls or two or more object balls are frozen to each other. This is the gear principle and it definitely works. This is because frozen balls are treated as a single unit as in the example that you can't commit a double-hit foul when the cue ball is frozen to an object ball unless other factors come into play. I see plenty of cases where people try to claim that spin transfers from cue ball to object ball or that if you hit the cue ball on the right you will throw the object ball to the left and every time without fail, they've improperly compensated for cue ball deflection and thereby changed the contact point. It's possible for the cue ball to have extreme sidespin and still stop on a dime if it hits the object ball full on.
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