one router will do the trick , you need a hub to split your ports you can buy these very cheaply now , not sure if you can put two routers together in the method you describe .

(from a website)
The Linksys EtherFast Cable/DSL Router with 8-Port Switch is the perfect solution for connecting up to 253 of your PCs to a high-speed Broadband Internet connection or to a Fast Ethernet or Ethernet backbone. Configurable as a DHCP server or client for your network, the EtherFast Cable/DSL Router with 8-Port Switch acts as the only externally recognized Internet gateway on your local area network (LAN). The EtherFast Cable/DSL Router can be configured via SNMP to filter internal users' access to the Internet and serve as an Internet firewall against unwanted outside intruders. Use to connect 8 PC's directly, can be branched with hubs.