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In my own words...
Ok guys, thanks for the overwhelming response to the queries in my last post. I think I finally get how this works and I'm going to put it in my own words, because the logic is clearer from my point of view.
For Horizontal Hinging, there is a centered motion, so the clubface is always square to the arc. The arc is the path of clubhead travel. If a tangent is drawn at any point on the arc, this tangent is always perpendicular to the clubface. In other words, the clubface is always square relative to the arc.
For Angled Hinging, there is an uncentered motion, so the clubface is only square to the arc at one point in the stroke. Before this point, the clubface is closed relative to the arc. Therefore, in order for the clubface to go from closed to square (relative to the arc), the clubface must be opening. Note that relative to the target line, the clubface goes from open to square to closed. But relative to the arc, the clubface goes from closed to square to open.
Now on how to curve the flight path of the ball. If you want the ball to curve to the left (i.e. draw/hook) then you must hit the outside aft quadrant of the ball. But when people talk about the outside aft quadrant, it is actually quite misleading, because they are usually talking about the visual outside aft quadrant. This visual quadrant is drawn with the centre line pointing at the target. However, the actual centre line should point to the right of the target, because arc of clubhead travel goes from inside to outside before low point, because of the nature of the inclined plane. This means that if you hit the true outside aft quadrant of the ball, it may actually be the visual inside aft quadrant! In other words, if you want to draw the ball, you must hit the true outside aft quadrant of the ball, even though this may look like the visual inside aft quadrant.
Now bringing everything together, we see that the further back you place the ball with Angled Hinging, the more closed the clubface is relative to the arc. Hence the ball will draw/hook. However, even though it may look like visually you are hitting the inside aft quadrant of the ball (so drawing/hooking is not possible), you are actually hitting the true outside aft quadrant of the ball.
And the reverse is true if you place the ball forwards. The clubface will be more open relative to the arc, so you will fade/slice. You are hitting on the inside aft quadrant of the ball even though visually it may look like you are hitting the outside aft quadrant.
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