Well "my life!" As some might say, it's certainly given me alot to look at, theres something quite enchanting about watching the bow lathe turner work on the king piece in marrakeck, it's so simple yet the results are marvelous, his chisel certainly looked mighty keen though!
The reciprocal motion isn't something i considered, and my entire mindset about lathes revolved entirely around the continuous motion concept, the evidence that Romans had considered this and especially the ever famed leonardo had drawn a treadle lathe is simply startling,
it's pretty much the simplest form of a modern lathe i can imagine, meaning, if i had to make a lathe out of what i could find in my garage, that's what i'd be going for. One larger foot pedaled wheel turning a smaller one mounted on a bench between two centres and a rest.
Having said that, it did note on the history website provided by Martin Kyte that it would turn far too slowly for turning work. In an attempt to justify leonardo's drawing, I would say knowing that he had a penchant for coming up with unique designs (that he could sell to provide a living for himself) i would argue he wouldn't be naive enough to not realize that, he never intended for it to be a simple turning machine.
I once picked up an old victorian book on "ornamental" turning in my town bookshop, the illustrations showed spiralled columns turned from ivory, and it listed an extensive list of devices for accurately creating very fine pitch spirals, it shows how during this age the limits of turning were pushed.
Now, leonardo living several hundred years earlier, would've been in a position to market a special machine designed to turn much slower so that intricate groves could be more closely controlled than a faster turning machine. I could never verify this, but unless he was just using artistic license, i find it hard to imagine he would not realise that an extremely large drive wheel would not turn the machine too slowly for normal usage.
Michael W