Aaron,
This IS the Atlas Forum.
emorain,
The face plate that you have is NOT for attaching a plain-back chuck to. Backing plates do not have radial slots. The design of the one visible in your photograph is primarily for driving lathe dogs which are used to drive mostly long rods up to about1" or 1.5" diameter that are mounted between centers. The one that you have can also be used for mounting some odd shaped parts that will not fit into any standard chuck. The other commonly found face plate has 6 radial slots and none of them usually include one slot cut all of the way to the OD.
On chucks, you probably want no larger than about 5" diameter for a 3-jaw chuck on a 10" swing lathe. And certainly no more than 6". You are probably better off buying a chuck that is made to fit your spindle already. Which is 1-1/2"-8 threads. The problems with buying a plain back chuck and buying a separate backing plate and having to then fit the backing plate to the chuck are (1) time and effort and the chance of ending up with a chuck that won't run true, and (2) the resultant will be a chuck that hangs out farther from the headstock than it has to, which wastes space, and is inherently less accurate because it will magnify any angular runout. A chuck that is already made to fit your spindle will cost more than a plain-back but it arrives ready to go to work. Buying a plain-back chuck and then having to buy and machine a backing plate is false economy.
I don't know that there is any book with a hard definition of "minilathe". But whenever I see the term, I automatically assume that it is smaller than 6".
I agree with others who have said that the correct size of QCTP for a 10" swing lathe is an AXA. 0XA is too small, and BXA is too large.