For an average Fargo rated player, I believe this "equal and opposite segment" description for cut shots is the best I have seen for my short time playing pool. I have been using this technique since I saw it here and I think it improved my game. It definitely makes lining up for the shot easier.
I noticed straightline described something similar also.
speckled implementation is confusing and unnecessary.
Cutshots' and Straightline’s methods to determine the aiming line differ in two ways.
Straightline uses a step Cutshots doesn’t: Straightline uses the midpoint between object and cue balls while Cutshots does not. Likewise, Cutshots uses a step Straightline doesn’t: CueShot uses the concept of equal and opposite areas of overlap between the object and cue balls at contact to determine the aiming line while Straightline recognizes that geometry but it is not needed to determine the aiming line (the line before parallel adjustment).
Straightline and CutShots’ methods determine the aiming line by first finding the object-ball contact point. CutShots’ method then has the player looking at the object-ball contact point and noting how there are equal areas from the contact point to ball edge on each side of the contact point.
CutShots then has the player shifting his view to now looking at the object-ball contact point from behind the cue ball. With this new view, CutShots notes how the visible area on one side of the object-ball contact point now has shrunk. Utilizing the equal and opposite concept, the shrunken area corresponds to the overlap area during the balls contact. CutShots instructs player to make a line from the object-ball contact point to the cue ball so as to make the same amount of overlap on the cue ball as on the object ball — an area opposite to and equal to the shrunken area on the object ball.
Straightline’s method is much easier to explain. It starts with two points: the object-ball contact point and the midpoint between the object and cue balls. The player connects those points. That is the aiming line.
Both methods then move the aiming line parallel toward the cue-ball center doing a Straightline “center point roll” to make the cue-stick aiming line.