I don't really care about the dagger. I just couldn't find a good picture of this sword without it.
The small sword (I believe) came later, and the rapier came much earlier. I'm not sure exactly how long this weapon was in use, but George Washington had one in his impressive arsenal of swords. The important thing to look at is how the blade suddenly transitions from fat to skinny.
PS -- If nobody gets it, I guess I'll try a new one tomorrow?