Hello Paul,
the piece of brass bar wasn’t truly centred in the four jaw independent chuck, that was just a way to hold the eccentric strap casting. I adjusted the chuck jaws until the irregularly shaped casting itself looked to be central with the axis of the lathe, just by eye, hardly precise.
The faces of the brass bar were machined parallel at the outset so this method pretty well ensured the faces of the eccentric strap would be at right angles to the lathe axis.
I hope that answers your question.
Andy