1. Voyage of Pedro Sarmiento de Gamboa, from Peru to the Strait of Magalhanes, and thence to Europe; 2. Expedition of Pedro Sarmiento to fortify the Strait of Magalhanes. Ill conducted voyage and return of two English ships under Edward Fenton and Luke Ward. Spanish colony founded in the Strait. Distressed condition of the colony; 3. Notice of Formosa. Navigation of Francisco de Gualle, or Gali, from New Spain to the Philippines, and from Macao to New Spain; 4. Voyage of Robert Witherington and Christopher Lister, from England, intended for the South Sea; 5. Voyage of Thomas Cavendish round the world; 6. Voyage of Andrew Merick to the Strait of Magalhanes; 7. Second voyage of Mr. Cavendish; 8. Brief review of various reports concerning the discovery of a North West Passage to the Pacific ocean. Doubtful relation of a voyage by Juan de Fuca. Reports of the discovery of islands named Fontacias; 9. Voyage of Sir Richard Hawkins to the South Sea; 10. Second voyage of Alvaro de Mendana; 11. The ship San Agustin wrecked on the Western coast of North America. Expedition of Sebastian Vizcaino to California; 12. Voyage of five ships of Rotterdam, under the command of Jacob Mahu and Simon de Cordes, to the South Sea; 13. Voyage of Olivier van Noort round the world; 14. Spanish ship seized by the natives of the Ladrone Islands. Voyage of Sebastian Vizcaino, to examine the western coast of California, and the continuation of the coast northward; 15. Concerning the navigation from New Spain to the Philippines, and the return from thence to New Spain: and of the Islands Rica de Oro and Rica de Plata; 16. Preliminary to the discoveries of Pedro Fernandez de Quiros; 17. Voyage of Pedro Fernandez de Quiros; 18. Voyage of Admiral Joris Spilbergen, round the world; 19. Voyage of Jacob Le Maire and Wilhelm Cornelisz Schouten, round the world; 20. On the situations of the discoveries of Le Maire and Schouten; 21. First certain knowledge obtained of the Great Terra Australis. Expedition of Bartolome Garcia de Nodal and Goncalo de Nodal to examine Strait Le Maire; Appendix.