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The first thing to do to implement FCKEditor is to include its primary PHP file in the page where you want the editor implemented. You can do this by calling
include_once in your code with the file as the argument, surrounded by quotes (i.e. "include_once('fckeditor/fckeditor.php);").
After you have included the PHP code file, you should be able to initialize an instance of FCKEditor a variable. Let's create a variable called $editor. Initializing the editor should look like this: "$editor = new FCKEditor('ed1');". After doing this, define the BasePath variable in your $editor variable as the path to your FCKEditor installation. For the editor to function, you will need to call $editor->Create().
This is just a simple example. However, if you want to know more about implementing FCKEditor, check the documentation on this page.
You can also see a sample of an FCKEditor implementation here.