Dragon Bridge (Dark Souls)

Actually the subject. I bought a tub of arrows and went to kill foot and mouth disease. I stood in the middle of the bridge, downhill on the right. Shot, the dragon flies up, another shot, retreat down. This several times. The last shot was when the dragon was sitting on the cornice of a building with a fire. Something tells me that something must have fallen from him. Nothing was dropped. How much have I lost? Did you sleep hard?