The Capra Demon is the boss you fight in the Lower Undead Burg. This battle can be a little annoying, as the Capra Demon is accompanied by two undead dogs and if you get caught in the middle of the three of them, then you will die easily. The plan of attack is to take out the two dogs first. When the battle begins, you will want to run up the stairs, get on the ledge and get into the corner. From here, you should be able to take out the dogs without having to worry about the Capra Demon's attacks. It is also from here that you will make the battle against the Capra Demon a lot easier than usual. You can do a plunging attack from here onto the Capra Demon, and after that you should roll away, go up the stairs and try to do it again. Note that if the Capra Demon is holding both swords and is swinging, you don't want to try and block this attack.