Acts and a intermission.
In math one or more "parts" equal a whole and in theatre the "parts" make up the whole play.
Most of Shakespeare's plays contain strong female characters (Julius Caesar is an exception), and in many plays the female lead is the most important character in the story. As You Like It and...
There is an old story that Shakespeare played the Ghost, however, there is no documentary proof of that. So it may or may not be true.
Nick bottom wants to play all the parts of the play because hes a big headed uncontrollable character who thinks hes the best at everything