It is no wonder that the broad, lofty valley where they found themselves made so strong an impression upon them that they at once decided to adopt it; though the exact spot they selected for their capital has been often condemned by posterity.

They saw a vast oval of more than forty leagues' circumference, surrounded, like an amphitheatre, with a girdle of mountains. On the east rose the two proud volcanoes, Popocatepetl and Iztaccíhuatl, covered with perpetual snow, their sides clothed with forests. When the Aztecs came, one vast lake occupied the basin of the broad plateau, too wide to be called a valley, as well as too elevated, for the lowest part is more than six thousand feet above the level of the sea.

They saw a rocky height rising above the wet soil near the lake, out of which were doubtless even then growing huge cypress-trees, ahuehuetl, making a dense and pleasant shade; a large spring of water flowed constantly from the rock. Here they stopped and named the place Chapultepec, which means the Hill of the Grasshopper. In the picture-writings of the Aztecs it is depicted as a small hill with a huge grasshopper standing all over it.

Here the Mexicans, or Aztecs, remained for a few years, but their place was contested by the neighboring tribes, who also all of them saw the merits of the site, and valued as much as the new-comers the spring of sparkling water. The Mexicans made themselves odious by their religious practices, and a combined array of Chichimecs and other tribes dispossessed them of the Grasshopper Hill. They betook themselves to a group of low islands in the lake, and there led a miserable existence for many years, covered with rags, living on such fishes and insects as they could lay hold of from the lake, and dwelling in wretched huts made out of reeds and rushes. They were nothing more than the slaves of the Tepanecs and Culhuas, surrounding tribes, and it is extraordinary that from such a life they roused themselves to any thing better. In the course of a battle between two of their tyrant tribes, they, the miserable slaves, the despised eaters of insects, gave such proof of unconquerable valor on the side of their masters, that these were terrified and gave them their liberty. This was nearly one hundred years after they had been driven from Chapultepec. They now shook off the yoke of their oppressors, gathered themselves together, and leaving the wretched island where they had languished so long, set forth once more in search of a permanent dwelling-place.

The story has often been told of the way in which they fixed upon its position. The priests declared that their great god, Huitzilopochtli, had decreed for the situation of their abiding city, a nopal growing from a rock, upon which should be sitting an eagle with a snake in his beak. The nopal is one kind of cactus. When they suddenly came upon this very combination of objects, the priests declared it to be the preordained spot, and there they settled themselves after all the long wanderings of their race, far from the shadowy Aztlan. The situation is low, and too near the lake, which in those early days extended much farther than at present. It has now been made to subside, leaving much territory formerly under water spread out as barren marsh-land. Several lakes, divided by low lands have taken the place of the broad inland sea overlooked by the Mexican capital.

Here the Mexicans built their capital city, which in time grew to be the centre of a great confederacy. They called it Tenochtitlan, which means Place of the Stone and the Nopal. Its name was also Mexico early in its history, from the old god Huitzilopochtli, who was also called Mexitli.

Tenochtitlan covered about one fourth of the ground now occupied by the city of Mexico. Its founders divided it into four quarters or divisions, to which were given the names of Cuepopan, Atzacualco, Moyotla, and Zoquipan. In the centre rose the great teocalli dedicated to the god Huitzilopochtli. The cathedral of the present city of Mexico stands on the site of this ancient temple, but not a trace of the Aztec town is now visible. The names of the quarters above given remain in those of the suburbs of the modern town.

Little by little smaller islands were united to the larger ones by means of stone- and earth-works. From a life of misery, by industry and energy the Mexicans advanced their condition. They devoted themselves to fishing and hunting, and exchanged the product of these labors with the neighboring people for wood, stone and such things as they wanted.

Up to this time they had obeyed their priests, or certain chiefs who controlled them. The last of these was Tenoch.