Resident in France, this small "backgeared" and screwcutting lathe appears to have a centre height of around 100 mm and take perhaps 250 mm between centres.
Of the most basic specification, it has a bed with a pair of narrow square-section ways shared between the carriage and tailstock, a single swivelling tool slide without a micrometer collar, a tailstock spindle moved using a cheap and easy-to-manufacture design employed in the 1800s (and clamped by a split casting) a solid nut gripping the leadscrew, an un-graduated leadscrew hand wheels and a dog clutch engaged not with a lever, but by sliding a knurled ring along by hand.
Unusually, the spindle is driven by a generously dimensioned flat-belt pulley overhung on its outboard end - an arrangement commonly found on simple plain-turning metal and wood lathes, but rarely on backgeared and screwcutting types. On the front face of the bed is a badge proclaiming "AGENCE GENERALE de MACHINES OUTILS AUGUSTE DOUCHAMPS 20 BOULd RICHARD LENOIR PARIS X1"
Instead of driving the spindle directly, the pulley is carried a shaft to the rear with the drive transmitted by a pair of gears able to be slid into and out of mesh with a matching pair - and so give four high and four low speeds. Hence, not a "proper" backgeared system, as explained here, but one that still produces a useful range of speeds - and possibly unique?
A surprising number of similar, interesting small French lathes of unknown origin are already recorded in the archive with, no doubt, many more to come.