The document summarizes key events in the establishment and expansion of the Portuguese Empire from the early 15th century to the mid-16th century. It discusses Portugal's early history under Roman rule and Germanic invasions. It then outlines Portugal's conquest of Ceuta in 1415, which marked the beginning of the Portuguese Empire. It details Portugal's exploration down the west coast of Africa in the 1400s and Vasco da Gama's discovery of a sea route to India in 1498. It also summarizes Portugal's early colonization of Brazil after its discovery by Pedro Alvares Cabral in 1500 and the establishment of the first colonial settlements in Brazil in the 1530s under royal authority.