The real starting point for machine precision is rubbing 3 granite plates together.
The real starting point for machine precision is rubbing 3 granite plates together.
And as you say, a granite surface plate is needed. Of course, Gingery's books only claimed to set up a metalworking shop starting "from scrap" and "simple hand methods" and that "it isn’t long before the developing machines are doing much of the work to produce their own parts" [2]
Of course, to truly make a lathe from scratch, you must first create the universe.
[1] https://www.youtube.com/watch?v=zPGZg45dGXA [2] https://gingerybookstore.com/MetalWorkingShopFromScrapSeries...
https://mitpress.mit.edu/9780262130806/foundations-of-mechan...
https://mooretool.com/about-us/publications/
(the book is long out of print, and used copies are exorbitant, but maybe if enough folks express interest it will get a reprint)
Granite is a common material for modern surface plates (and a good one because it doesn't rust and doesn't raise burrs if it's chipped), but I believe these are still made using cast iron reference plates.
Doing the "covered with dye and rubbed together to find the high points, which are then scraped off" thing is only if you already have a flat reference surface as you wouldn't have a way to know if the thing you're trying to make flat is really flat.
The real question is how do you get the first flat reference surface when all you have are a few somewhat flat things?
my understanding is the threeplate method allows you to build the reference plate in the first place.
of course if you have a known flat surface you can save effort by making the new plate flate to the known flat.
All the effort!
one of the good things about granite flat references, is that they last for ages, so you can get them reasonably cheaply second hand, if you can find a second hand machine shop specialist.
This is done like the "dye / rub / scrape" method described above, which I believe is still used as it's superior to grinding for these applications.
See video below for the process: https://www.youtube.com/watch?v=T7w84CrBEE8
Maudsleys 3 plates are in the London science museum along with Whitworths screw, and some of Marc Brunels stuff. Same room as the meccano differential analyser and the harmonic calculator for tide charts and Babbage bits.
Edit: found it - https://archive.is/iyCzB
A lathe can't replicate its own assembly, of course. It can't seat the spindle in the constraint bearings, for instance.
A CNC (without the word lathe) can make most of itself, and possible all. Nope: certainly all, if two of its dimensions fit within its work volume.
Milling machines are also just lathes with a different orientation, an extra travel axis, and a motor optimized for higher speeds & lower torques, it's possible (and reasonably common) to use a mill like a lathe or a lathe like a mill in many cases. So "only machine" part is also a stretch.
Mills are more limited than lathe - they don't have leadscrews, which are a necessity in the "build yourself" phase. You cannot make arbitrary threads with a milling machine. Thread milling gives some capability in this arena, but that's a CNC process.
https://community.carbide3d.com/t/thread-milling-in-metal-on...
A manual lathe will often have a gearbox which allows cutting threads on it: