I think what Badger meant to say is that the thickness of a piece of wood determines how far it will bend, and the width determines how much force is required to bend it that amount.
That's the key principle of the bowmaking spreadsheet I developed. It's a case of drawing a goal tiller shape, measuring the radii at various points to determine how thick a bow's limb needs to be, then figuring out just how wide it needs to be at those points to achieve the desired draw weight.
Badger, I think it's funny how sometimes things come full-circle. I'm pretty sure in TBB1 Tim talks about (I think) Comstock's 'modified Meare Heath' design, which is a wide flat limbed design but which tapers more abruptly that the original for the last 10 or 12 inches or so. That was superceded for a few years in favour of other designs, and here we seem to be coming back to a very similar design.