The document summarizes key events in the history of Portuguese exploration and the establishment of the Portuguese Empire between the 15th and 18th centuries. It details important voyages and discoveries on the west coast of Africa leading to colonization of the Azores islands. It also discusses Portuguese exploration of Asia and India and the establishment of trade posts and monopolization of trade routes. The document outlines Portugal's wars with Spain over independence in the 17th century and French and Spanish attempts to force Portugal to join alliances in the 18th century. It provides details on Portuguese colonization of Brazil and the production of sugar, tobacco, and mining of gold and diamonds in the Brazilian colonies.