The first is called "age of Tezcatlipoca," because that god had then added on a half to the sun, which was only half luminous, or had "made himself sun in its place." This was the age of the Quinames, or giants, who were almost all exterminated by famine. After this, Quetzlcoatl, the god of the air, having armed himself with a great stick, struck Tezcatlipoca with it, threw him into the water, and "and made himself sun in his place." The fallen god, transforming himself into a jaguar, devoured such of the Quinames as had escaped from the famine. The statements of the "Codex Vaticanus" and the "Codex Chimalpopoca" as to the final catastrophe of the world's first age, are thus reconciled by this last narrative. Motolina calls the two next ages those of wind and fire; they are closed in the way we have seen. The fourth is the age of the "Sun of Water," placed under the patronage of the goddess Chalchihuitlicué. The Deluge terminates it, and after this last cataclysm, we enter upon our present era. We come next to the "History of the Chichimecs," by Don Fernando d'Alva Ixtlilxochitl, descendant of the old pagan kings of Tezcuco, whose pretended silence on the subject we have seen appealed to as disproving the authenticity of these Mexican diluvian traditions. In the first chapter of his first book, Ixtlilxochitl relates the story of the cosmic ages according to the traditions of his native city. He only gives four in all, including the actual period. The first is the _Atonatiuh_, or "Sun of Waters," which begins with the creation, and ends with a universal deluge. Then comes the _Thlachitonatiuh_, or "Sun of Earth," when the giants called Quinametziu-Tzocuilhioxime lived, descendants of the survivors of the first epoch. A frightful earthquake, overthrowing the mountains, and destroying the greater part of the dwellers on earth, closes this age. It is in the third age, _Ehecatonatiuh_, "Sun of Wind," that Olmecs and Xicalanques came from the east to settle in the south of Mexico. At first they were conquered by the remnant of the Quinames, but ended by massacring these. Quetzalcoatl next appears as a religious reformer, but is not listened to by men, whose indocility is punished by the appalling hurricane during which such as escaped became monkeys. Then begins the present age, _Tlatonatiuh_, or "Sun of Fire," thus called because it is to end by a rain of fire. We see, therefore, that Ixtlilxochitl was perfectly acquainted with the diluvian tradition, and if he does not enter into its details, he assigns it an important place in his series of ages.