In medieval times, the most common type of sword used was simply referred to as a "sword." However, different variations of swords emerged during the medieval period, each with its own distinctive features and names. Here are a few notable types of swords used during the medieval era:

1. Longsword: The longsword was a versatile weapon with a double-edged blade and a grip long enough to be wielded with two hands. It was commonly used by knights and men-at-arms.
2. Arming Sword: Also known as a knightly sword or a single-handed sword, the arming sword was a one-handed weapon typically worn by knights and warriors of various ranks. It had a straight, double-edged blade and a crossguard to protect the hand.
3. Broadsword: The term "broadsword" was used to describe a large, single-handed sword with a wider blade. It was prevalent in Scotland and other regions and was often associated with the highland clans.
4. Falchion: The falchion was a single-edged sword with a curved blade that widened toward the tip. It was commonly used by infantry and could deliver powerful slashing attacks.
5. Greatsword: The greatsword, also known as a two-handed sword or a zweihander, was an enormous weapon used primarily by professional soldiers and specialized units. It had an elongated blade and an extended grip to be wielded with both hands.

These are just a few examples of the various swords used during the medieval period. It's important to note that the naming conventions and designs of medieval swords varied across different regions and time periods.