andrea tasselli:
A compound system isn't necessarily having a Cassegrain form, could be a Gregory form as well, for a 2 mirror system with both having optical power. Speaking of two cones makes no sense and it is just confusing as there is only one converging bundle of light rays forming a real image at the system's focus, such that the final focal length is given by:
f = f1*f2/(f1-f2-d), for both forms, where f is the final focal length of the system, d is the separation of the mirrors and f1 and f2 are the focal lengths of primary and secondary.
When I say two cones I don't think it's confusing at all. There's the cone from the primary and the cone from the secondary that have different angles of convergence. It seems perfectly logical to take about them that way so I don't know why you find it confusing but, each to his own.
At any rate, I think the OP's original question has been answered well enough.