skitsanos.blog has posted a tutorial where you will learn how to draw curved lines using Actionscript 3.0

In case you are a beginner with this kind of task I advice you to take a look at the beginning of the article, there are two more links for another two tutorials related to this matter that you should try to understand before you start with this one. Those don’t deal with curves, just simple objects and might give you a better base for the curves one.