A beautiful watch!
@valjoux72 : Maybe the Nomos watches have some more relatives. There is a little watch company in Germany called Stowa. Scroll down their page
https://www.stowa.de/Antea/ and you will find some more mothers and grandmothers of the Nomos Tangente .There are pictures from a Lange watch and from a Stowa Antea watch, both from 1937. Both look very much like today's Nomos watches. Maybe Nomos copied their Tangente-design from those watches...
As a summary it could be said that there were at least three companies (Longines, Stowa and Lange) which sold watches in "cassa barilletto"-design in the 1930s and 1940s. It would be interesting to know which company created this design at first. If someone here has a Longines "cassa barilletto" made before 1937 please let us know.