The mathematical-historical cycle is 1,700 years, distributed thus: six and one-half centuries for the Era of Great Demographic Fractionation, and ten and one-half centuries for the Era of Great Unification, separated by a phase of Relative Independence that is indicated by a straight line. Each nucleus of union or empire, has a first aggressive process or first Period of Great Strategic Victories, as an ascending line, followed by a Great Depression, afterwards, a second aggressive process that has a unifying character, different from the first one, that is a federal characteristic. Afterwards, there follows a Military Disaster, that only affects the Armed Forces factor, afterwards, a Conservation phase and finally, Decadence or Disintegration. If this nucleus is the first one, then the Relative independence phase follows, and if it is the second one, then the era of Great Union of ten and one-half centuries ends, and the era of Great Fractionation of the following 1,700 years begins, and so forth.�� The empire Unification nuclei have an approximate duration of between five and five and one-half centuries.� In the second period of great strategic victories or second aggressive process, that is characterized by its centralization or unification of the corresponding empire, there appeared the so called Great Captains: Hannibal, in the Carthaginian Empire, Alexander the Great, in the Macedonian Empire, Julius Caesar, in the Roman Empire, Napoleon in the French Empire, etc. Man is an expression of the historical phase. Wars took place not as a function of the result of men against men, but of empires against empires, or nations against nations, each one in precise mathematical-historical phases, mentioned before, which have their own characteristics and are the reasons for the results of the wars fought. The first period of great strategic victories, is a federal phase in which the empire is formed.� Before beginning the first aggressive process, there may be a loss of territory as, for example, in the Polish Empire, that together with the Kingdom of Boleslas I (992-1025), the conquests made thereby, are almost totally lost during the Kingdom of his successor Mieszko II (1025-1034). The aggressive process is characterized by peaceful victory or war, where territorial extension is concerned.� Conquests and geographical domain extension are a constant. Strategic victory is predominant.� With the second Punic War (218-202 B.C.), Rome in its period of great strategic victories, conquers Carthage. Likewise, in the third Roman-Macedonian War, the Macedonian Empire ends (146).