Another idea for a self-adjusting spine. A slippery fabric like satin is placed under the book. Each side of the satin is clamped to the carriage that holds the cradle. a rubbery sheet is placed between the book and the satin. As the pages are turned, the misalignment of the platen to the book forces the cradle over. As the cradle moves sideways, the satin fabric slips in relation to the cradle, but because of the rubbery sheet, the book stays with the satin. This means the book spine moves in relation to the cradle, thus keeping the open book always in alignment with the vee of the platen.
EDIT:
After mocking up a model of this design I discovered it fails because the fabric slides the book an inch for every inch of lateral movement of the cradle. To work, the fabric would need to slide the book 1.41 inches for every inch of lateral movement of the cradle.
