Iaido is a word composed of three parts: ee, meaning "to exist"; ai, meaning "harmony" or "unification"; and do, meaning "path" or "way." It refers to the most widely practiced formal sword styles, usually made up primarily of solo forms, or "waza."
Iaijutsu refers to an older form of iaido that focuses more on the military or fighting aspect of swordplay
Battojutsu and Battodo refer to arts that are very similar to iaijutsu and iaido. The word "batto" means "sword drawing" but, as a practical matter, most batto systems are more focused on swordplay after the sword is drawn than are most iai systems.
