OK,
I will answer this one as well. (While waiting for the other info)
Open System Preferences > Network.
Choose the connection method in the list or the second drop down.
Click on the TCP tab to make sure it is the active one.
Series of Pics
The
Last pic Shows my set up is already set to Static.
Yours probably says "Using DHCP" in the drop down that reads "Manually" (Static) on mine.
Your IP is most likely coming from your Airport at the moment. It is most likely going to read 10.0.1.x
The "router" IP further down is the is one Gateway and in this case is the Airport (10.0.1.1) (Although the default for your Airport could be different.
Now in the Airport Admin Utility you will find the info for the Airport to Modem connection in the Internet tab.
It may or may not List the "Gateway IP" of the modem or the DNS servers or Subnet Mask if it says it is getting an IP Automatically (DHCP)
In Fact the "gateway IP" will be the IP you use to access the Modem through the Web browser.
In the Modems set up pages you should (hopefully) get told the IP it is using, The Subnet Mask, and the DNS servers (Unfortunately some devices do not list/show the DNS servers)
Once you have confirmed that the new modem and the Airport are both doing DHCP you will have a choice.
1) Turn off the DHCP server in the modem
Set the Airport Internet page to Static and fill in the Boxes (YOU MUST Have the DNS server info to do this)
2) Change the Airport to NOT SHare an IP as this will turn it into a plain Wireless Access point.
Effectively it turns Off the DHCP server here and allows the modem to issue an IP to your computer in a way that shows up in System Preferences > Network.
At present the computer is getting two IPs (If both are doing DHCP) and one is hidden.
See lower Pic. This is a slow to load/Process Animated .gif (Slow enough to read).
Hopefully this will explain things a bit more.
8:56 PM Wednesday; October 17, 2007