Impossible. While it is true that the same angle of cut will produce the same amount of throw in degrees, the distance between the line of centres at contact and the true roll of the OB will steadily increase the longer the shot is. I'm sure math guys can work out the exact distances, but an object ball one diamond away from the pocket will be aimed damn near centre pocket while a ball cut all the way down table may need to be aimed entirely outside the pocket, esp with dirty balls. Again, both deviate from the line of centres by the same number of degrees, but the two lines (line of centres vs true roll of OB) if diagrammed will form what looks like a wedge with the lines moving progressively farther away from one another as distance of OB roll increases.