This got me thinking about the etymology of the word bullseye, which I was not able to find anywhere. I'm guessing that calling the centre of a target a bullseye has something to do with bulls, but what, exactly, I couldn't say.
I did discover where the term point-blank comes from. The point refers to pointing at the target. Blank, in this case, is a term for a bullseye
dating back to 1554. It stems from the fact that the centers of archery targets were frequently painted white, and blanc is French for white.