That's a sidesword or early rapier. Hundreds of years earlier than the smallsword, the weapon for which the foil was developed as a practice weapon. I'm not familiar with the term orthopedic grip, but a quick search suggests that this is what I knew, when I was doing sport fencing, as the "pistol grip". These days I do HEMA rather than modern sport fencing. In fact, a fellow instructor at my school is responsible for the English translation of Lovino, the source from which the above image derives. Here's the whole image: