Do you have more than one browser? If so, open each page in a different browser and set one to "Work Offline" mode and leave the other online :)
If you only have one browser, you can download a new one. Some ideas:
Firefox
Opera
Google Chrome
Netscape
There might be a way to do it in one browser... but it would depend on what browser you're using. But really, I'm not sure how/if it can be done. And it would be a lot easier to just use two different browsers, anyway :)