Domain name servers are what translate domains, the ip address, into web addresses, like http://www.webserver.com. Without one and without a domain name I believe that isn't possible. Your 192.168.xxx address for the linux machine isn't set to any domain. If you have multible ip addresses, you could try to connect to one of them from the other. I'm guessing you don't and have nat running? That means one outer ip address with multiple on your sub-net. To summarize, your problem is like you giving yourself an address which is different then your mailing address.
