Actually, the part of the limb that bends, which is the inner, of course, does best when it does bend in a continuous curve. Thus, the inner limb bends to a perfect arc of a circle, though the outer limbs remain stiff.
I think there is more to this than a lot of others seem to. let me see if i can make sense.
Circular bending supposedly stores the most energy, because wood along the limb is doing its share wherever it is, BUT....
A perfectly pyramid limb (which bends to a circular arc) quickly stacks once drawn a certain amount, depending on length of bow and length of draw, SO....
Stiffer tips will prevent this by keeping favorable limb tip/ string angles, BUT...
This can overwork the inner limb on most bow designs because the tiller becomes too round in/near the handle....HOWEVER...
If the stiff tips are long and stiff enough to act not just as stiff tips, but as levers, the inner section can be made parallel both side to side and back to front, so more wood is bending, total, and the levers will bend it evenly in a circlular arc...THUS..
The inner limb is now very stiff, stores a lot of energy and is evenly strained, AND...
Because it is very stiff, but not actually being bent a great deal, it can take high draw weight and stiffness, but not take much set, because the distance travelled is small, AND....
The attached levers let us pull this very stiff middle limb, due to , well, leverage... OF COURSE....
The energy storage is now high, but the efficiency will be low if these levers are not very light in weight, so we must make the tips light, AND...
As posted above, making the outer limbs stiffer is easier if we increase their thickness, so we increase thickness until they are perfectly stiff, and then narrow as much as we can get away with to save weight. AND SINCE...
The outer limbs hardly bend at all, they take no set.
So you have a very stiff, high draw weight middle, that does not bend far enough to endanger its elasticity, but stores high energy, attached to long stiff tips that keep leverages favorable throughout a fairly long draw, and are physically very light..
So the bow is well suited for shooting heavy arrows at decent speeds with little hand shock, stores good energy for its draw weight, and is likely to be durable and long lived weapon that takes little set even when made from marginal materials.