The Portuguese reach the Indies. Land of the Holy Cross discovered by Pedro Alvarez Cabral. Gaspar Cortereal’s voyages. Letter of Pietro Pasqualigo. Terra Verde. Amerigo Vespucci’s third and fourth voyages along the east coast of South America. Johann Ruysch’s map. Martin Waldseemüller’s suggestion. The name of America. A fountain of vivific water. Juan Ponce de Leon explores the coast of Florida. Vasco Nuñez de Balboa beholds the Pacific Ocean. The coast of Yucatan explored by Francisco Hernando de Cordoba. The discoveries of Juan de Grijalva. The country of New Spain. The expedition of Hernando Cortes. The magnificent presents sent him by Montezuma. The populated provinces of Mexico. Great cities. Large temples. Decorated idols. Cortes enters the city of Mexico. Its palaces, markets, and arsenals. The horrible sacrifices of the Mexicans. The siege of the city 205-274 CHAPTER VIII. The discoveries of Alonso Alvarez de Pineda. The project of Francisco de Garay. An unfortunate undertaking. The discovery of the Mississippi River. The jurisdictions of Juan Ponce de Leon and Francisco de Garay. Another exploration of a part of the coast of North America. Chicora. Duharhe. Tall people. Habits of the natives. Tierra de Ayllon. The voyage of Fernam de Magalhaens. Discovery of the Strait of the Eleven Thousand Virgins. The Pacific Ocean. The Moluccas or Spice Islands reached. Voyage of Juan Sebastian del Cano. The earth circumnavigated. The congress of Badajos 275-296 CHAPTER IX. France emulates Portugal, Spain, and England. Discoveries of the Bretons and the Normans. Exploration of the St. Lawrence River. Giovanni da Verrazzano put in command of a fleet to sail to Cathay by Francis I. The king of Portugal attempts to prevent the sailing of the vessels. Storm in the North Sea. Departure of the Dauphine. Verrazzano reaches the coast of North America. Designates his first landing-place Diepa. Fruitless search for a harbor. Friendly savages. Description of the country. Palmetto trees. Sails northward. Explorations of the peninsula of Virginia. The Dauphine’s anchorage at Sandy Hook. Verrazzano explores the bays of New York. The Grande River. Block Island. The Dauphine in Narragansett Bay. Description of the natives. Exploration of the coast of Maine. Five hundred and two leagues of land inspected. Francesca. Verrazzano’s geographical explanation of his voyage. Arrival of the Dauphine at Dieppe 297-334 CHAPTER X. (_Addenda._)