Hi Manolo,
That's an excellent question! Here's my take on it: a convex blade is useful for slashing, and if the goal is to cut deeply, a slash (i.e. from a scimitar/shamshir), is a good way to do it. A convex weapon can do a couple of things. As you point out, it can focus a lot of power in a small spot (as with a kukri). However, the bill/scythe design actually works quite well on a pull-cut. I've got a bill-hook (actually, a woodsman's pal) that's quite good for cutting brambles and small brush. It doesn't smash them. Rather, the hook collects the branches at the sharp inner edge, and the pulling part of my stroke severs them. I suspect the same thing goes for the falx, with a different type of limb.
I suspect the reason we don't see more sickle-swords (or whatever) is twofold. One is that they tend to be tip heavy. The other is that they don't lend themselves to parrying as easily as other blade shapes do.
Other thoughts? That's just off the top of my head.
Fearn
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