Networking help

Well here's the deal: I have a computer and a connection to the internets. I have a PS2 and want to use it without unplugging the ethernet cable from the computer. I can't have a router for reasons I will not detail here, but I do have two network cards. I heard something about a Cross-over ethernet cable and ICS (Internet Connection Sharing), but I'm not too big on this stuff.

I also have a picture of what I want to happen. I don't know if I need the cross-over or not, but it's a basic idea.
http://teamxlink.co.uk/img/networksetup_2nics.png

a crossover cable is only necessary if you're connecting two computers directly to each other without a hub in between, or connecting two hubs to each other, and there's no 'uplink' port available.

since i don't know if the PS2 network adapter has an uplink port or not, i can't determine if you need a crossover cable or not.