Is it possible to fill the intersection of two hyperbolas? 3?

[wit...@wwrinc.com]

As in the examples for filling the intersection of two and three circles, I need to plot the intersections of two or more hyperbolic curve segments.  

These segments are portions of a single 'branch' and each has analytic features independent of the others (center, vertex, focus).  That is, different center and focus, but partially overlapping.

I have experimented  using the circle intersection examples but really don't know if the library supports this.

Any guidance would be appreciated.

Dave

[and...@derivita.com]

I'm trying to do something similar and haven't gotten anywhere with the examples either. Would be interested to know if anyone got this working