The approach documented under “From a Static Resource” in that article is the proper way to go.
For instance, if your VF Page’s Apex Controller is called “TurboThrusters” and it defines a RemoteAction named “Engage” that expects a single number argument, then your JavaScript would call it like this:
var thursterPower = 50;
TurboThrusters.Engage(thrusterPower,function(result,event){
if (event.status) {
console.log(‘Got response back from server okay’);
console.log(result);
}
});