You can do this just and I'd tell you exactly how but I don't know your configuration. If you have windows then:

Dial up with computer1 you'll get a valid WAN side IP. Then Set up internet connection sharing and use DHCP to give computer2, your your other computer, an ip address. With DSL or cable you shouldnt have any problem at all. If you have a good ISP such as Earthlink then you get 3 sessions on their redback server so if one times out then you can still be connected, earthlink doesn't necessarily want you to know this; but you can use this to your advantage. Earthlink has some good docs out there, or did. I didn't have the time to read these docs but here is a link to some info from Earthlink that might help out.

http://support.earthlink.net/support...key=connecting

Another solution, albeit, not cost effective, would be to buy a cheap router.

Cachinga