Check out the eMac specifications, for example,
here. Depending upon the model, you could install an AirPort or AirPort Extreme card. This is probably the easiest way. See also the KB articles
HT1621 and
HT3024.
You could per se try USB wireless adapters, but only if appropriate Mac drivers are available (if at all, usually only for Mac OS X 10.3 or higher).
Another solution could be wireless Ethernet bridge devices (also called gaming adapters). These units (such as Belkin F5D7330, D-Link DWL-G810, D-Link DWL-G820, Linksys WET54G, Linksys WGA600N and Netgear WGE111) do not require special drivers and can be used under almost any operating system. Not all models (or versions of a model) offer WPA security. You could connect a wireless Ethernet bridge directly to each computer (the Ethernet port). Alternatively, it ought to be possible to use wired Ethernet (via a switch) between the computers, and then one bridge device as a connection point to an existing wireless network.
Jan