Ok seems you are right, thank you... 9mm is either luger or parabellum (which appear to be the same thing)... 10mm is auto, and .45 is either Auto or Colt Long whicha re different things.
@freemo Correct, although the story is a little more involved in detail.
For the rimless .45, the Colt's original name was ".45 ACP" (Automatic Colt Pistol). The Colt's competitors tended to stamp their guns with ".45 Auto".
For the revolver .45, Colt's original name was ".45 Colt". However, since other revolver calibers had "Long" in the name, users of the cartridge called it ".45 Long Colt" and basically overcame factory's opinion. In part it helped to disambiguate it from .45 ACP.
For the rimless .45, the Colt's original name was ".45 ACP" (Automatic Colt Pistol). The Colt's competitors tended to stamp their guns with ".45 Auto".
For the revolver .45, Colt's original name was ".45 Colt". However, since other revolver calibers had "Long" in the name, users of the cartridge called it ".45 Long Colt" and basically overcame factory's opinion. In part it helped to disambiguate it from .45 ACP.
There's no point in knowing any of this.