dr_dave said:I'm sorry my definition of "pivot point" is different than yours, but to me a "pivot point" is a fixed (i.e., stationary) point about which rotation occurs (as in the fulcrum of a lever). With the hip-pivot animation, the cue is sliding through the bridge as it is pivoting (i.e., rotating). The rotation part is the same whether or not the cue is sliding through the bridge or not while it is rotating. This is a similar argument to back-hand-English vs. swoop-during-the-stroke. The cue tip still ends up in the same place on the cue ball if the amount of rotation is the same, even though the sliding occurs at different times.
Dave, Its not that we have different definitions of "pivot point", I think you just fail to understand that a pivot point can move/change.
As this simple animation shows, a bar is spinning on an axis. The axis is also moving. The cross hairs show the pivot point and it never leaves the cross hairs.
http://www.andrewcleary.com/moving_pivotpoint.mov
For everyone else, this animation means nothing, just showing a pivot point moving.