The event of the creation of the Great Colombia of the past century (1819-1830), represents the first moment for another one that is more permanent. An announcing event in the geopolitical and geohistorical area, a success and a triumph for the Liberator, at the time and in the space of the Continental American prospective. � This is how then, the United States of America from 1780, and the year 2050 as the second time for the formation of this Great Colombia of Bol�var that, with Brazil and the area of Rio de la Plata would develop the first mathematical-historical cycle of Columbus� continent: America.� THE EVOLUTION OF LIBERTY Generations have succeeded themselves on one same region of the earth that while some have manifested a great creative activity, others have remained inactive and impenetrable to all activity. In a primary society, suddenly, an awakening begins that is transmitted to generations in the future until a maximum creative power is reached, later observing a decrease of activity, a descent of the mentioned power, decadence, prostration and ignorance.� Man and his generations, the individual and his collectivities, all obey a mathematical process. Nations evolve, progress, decline and rise again, following cycles that are politically, socially, artistically, philosophically and scientifically perfect. Nothing is attributable to chance. The appearance or disappearance of the great empires, the creation of architectural styles, the great discoveries, the great philosophical concepts obey a mechanism that is as precise as that of a clock.� Thus, Cecilio Acosta says: �What is difficult in history is not the events that are picked up like grains in a full granary; what is difficult is being able to choose them and, with them, form one whole�. The mathematics of history chronologically presents events and their regular variations, the mathematical historical cycle of humanity�s past up to the present time. Man with his ability and knowledge can conquer the negative aspects of his history as he has been able to do in other fields, with mental and spiritual improvement that he can develop and thus improve his destiny, not condemning himself to the future.� Liberty evolves and its various laws are positive bases and structures of good, that allow to sublimate man�s life, projecting with mathematical precision his progress and free exercise to act.�