Put the book and the camera on the table. Attach a string to the book at the middle of the edge towards which you will be pulling.



Now create a tiny winder - nothing fancy, a bottle cork and some stronger metallic wire should do (depending on the speed at which you want to move the camera). Hook it to the edge of the table towards which you'll be pulling - shouldn't be complicated at all, if you use metal wire to build it. Attach the string to the cork.



Pull a few inches/rotate the crank a few times - the book will rotate slightly, since you can't attach the wire perfectly centered. Reposition the camera, accounting for the book's rotation.

Now rotate the crank of the winder at constant speed, to move the book at constant speed. That's it. It's IME easier to rotate a crank at constant speed than to move an object with no guidance at constant speed, regardless of whether you pull or push it.

You can quickly improvise a winder if you have a manual spice or coffee mill or something alike in your kitchen - just fixate it on the tabletop and attach the wire to its shaft, maybe screw a cork onto the shaft if the shaft alone is too thin.