See my comments on the other post on these two. Merging the two threads by a mod might be a good idea. Full length side by side photos would be nce, again allowing side-by-side comparison and tip details. The wide cross guard of the rapier is more common on what we call rapiers, a thrusting point centric, and dismounted infantry/civilian weapon, the backsword one is less rapier-ish and more `side sword/early mortuary look, and more useful for cutting on horseback than the other.
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