Yes, if the sub has speaker level inputs you could connect it that way.
You would set the front speakers to large if your receiver has that capability.
This is incorrect, your TX-8522 doesn't have pre-amp line out, only video out, which isn't the same.
Even if you had such pre-out, you still needed to cross-over your main speakers to stop low-freq signal ever reaching them (8522 doesn't have a cross-over)
You have only two options here:
A) Use High level speakers connections and connect them to your high level inputs on your sub (make sure to get one with such inputs) and use high level output on sub to connect your L/R speakers.
B) change to different receiver with bass management (x-over) and sub output