The 7.62×51mm NATO is a rimless, straight walled, bottlenecked rifle cartridge. It is a standard for small arms among NATO countries.
Unfired 7.62×51mm NATO round (B) next to three recovered bullets, showing rifling marks (A)
.50 BMG, .300 Winchester Magnum, 7.62 NATO, 7.62×39mm, 5.56 NATO, and .22 LR
Service rifle cartridges loaded with projectiles: (left to right) 7.62×54mmR, 7.62×51mm NATO, 7.62×39mm, 5.56×45mm NATO, 5.45×39mm
7.62×51mm NATO cartridge case ejection from a British L129A1 Sharpshooter Rifle after firing L59A1 "High Performance" ammunition featuring a 10 g (155 gr) bullet
A rim is an external flange that is machined, cast, molded, stamped, or pressed around the bottom of a firearms cartridge. Thus, rimmed cartridges are sometimes called "flanged" cartridges. Almost all cartridges feature an extractor or headspacing rim, in spite of the fact that some cartridges are known as "rimless cartridges". The rim may serve a number of purposes, including providing a lip for the extractor to engage, and sometimes serving to headspace the cartridge.
Rimmed .357 Magnum revolver ammunition
Rimmed vs Rimless cartridges
Rimless 9mm Parabellum pistol cartridges