JC
it's all to do with the Morse taper 'thing'. OK, you have a hard arbour and a soft poppet but this holding power of the Morse can be rather suspect.
If your maths is up to it this sunny morn, our Mr Morse actually designed ONE taper for all the various diameters based on the principle of a 10" sine bar and a quarter of an inch 'offset'
Of course, it seems that no one could 'hit' the dear old quarter of of an inch.
One of my old mates built a taper turning attachment to fit the back olf his Myford ML7 which he kept under his bed. I Know, I know! Colin was like that. But that is the basis.
Colin went on to produce the first fibreglass racing kayak and made his own hover craft. He used to carry his folding slalom kayak on the side of his motor bike to the National Champiionships.
Last time that I heard of him was that he was teaching dinghy racing at South Shields.
Life is quite boring now. We were all 'Mensa' but it probably wasn't invented then.
Norm