Look closely at the bottom of the dial on this Vacheron & Constantin you will see the Swiss Patent (Brevet) number 130191. A search with the European Patent Office reveals this information:
1 Indicateur de temps.
Inventor: ROBERT CART [CH] ; FILS CART ROBERT [CH] (+1) Applicant: CART ROBERT [CH] ; CART ROBERT FILS [CH] (+1)
EC: G04B19/20 IPC: G04B19/20
Publication info: CH154726 (A) - 1932-05-15
Priority Date: 1931-03-16
2 Indicateur de temps.
Inventor: CART ROBERT [CH] ; CART FILS ROBERT [CH] (+1) Applicant: CART ROBERT [CH] ; ROBERT CART FILS [CH] (+1)
EC: G04B19/20 IPC: G04B19/20
Publication info: CH130191 (A) - 1928-11-30
Priority Date: 1931-03-16
So it appears Robert Cart had one patent dated 30 Nov 1928 and another 15 May 1932. The catagory G04B19/20 is for devices which tell time by means of rotating disks!