What is the name of an old video game where there is a rectangle box with a ball moving around. The object is to trap the ball in smaller parts of the box by drawing a line across the box. Each line cuts the size of the area the ball has to move in.
was Jezzball the game you were looking for? Please let us know! :)
Are you thinking of JezzBall from the Windows Entertainment Pack for early versions of Windows up to '96? If so, you can take a look at the Wikipedia entry and find links to Flash based remakes and other types of more modern clones like Icebreaker.