What territories were conquered by Rome during the Roman Empire?

During the imperial period, for 2-3 centuries, almost all the emperors of Rome sought to increase the borders of their country. Already under the first emperor Augustus, Egypt and northern Nubia were conquered. If during the era of the Republic only the coast of northern Africa was conquered, then the emperors expanded their borders to the south. Large lands were annexed in Arabia and Mesopotamia, as well as small Armenia, Cappadocia, Belgium. Many Germanic lands, the central part of Britain, the northwest of the Pyrenees, etc. also fell under the rule of Rome.