The intellectual character of the Peruvians, indeed, seems to have been marked rather by a tendency to refinement than by those hardier qualities which insure success in the severer walks of science. In these they were behind several of the semi-civilized nations of the New World. They had some acquaintance with geography, so far as related to their own empire, which was indeed extensive; and they constructed maps with lines raised on them to denote the boundaries and localities, on a similar principle with those formerly used by the blind. In astronomy, they appear to have made but moderate proficiency. They divided the year into twelve lunar months, each of which, having its own name, was distinguished by its appropriate festival.11 They had, also, weeks; but of what length, whether of seven, nine, or ten days, is uncertain. As their lunar year would necessarily fall short of the true time, they rectified their calendar by solar observations made by means of a number of cylindrical columns raised on the high lands round Cuzco, which served them for taking azimuths; and, by measuring their shadows, they ascertained the exact times of the solstices. The period of the equinoxes they determined by the help of a solitary pillar, or gnomon, placed in the centre of a circle, which was described in the area of the great temple, and traversed by a diameter that was drawn from east to west. When the shadows were scarcely visible under the noontide rays of the sun, they said that "the god sat with all his light upon the column." 12 Quito which lay immediately under the equator, where the vertical rays of the sun threw no shadow at noon, was held in especial veneration as the favored abode of the great deity. The period of the equinoxes was celebrated by public rejoicings. The pillar was crowned by the golden chair of the Sun, and, both then and at the solstices, the columns were hung with garlands, and offerings of flowers and fruits were made, while high festival was kept throughout the empire. By these periods the Peruvians regulated their religious rites and ceremonial, and prescribed the nature of their agricultural labors. The year itself took its departure from the date of the winter solstice.13 This meagre account embraces nearly all that has come down to us of Peruvian astronomy. It may seem strange that a nation, which had proceeded thus far in its observations, should have gone no farther; and that, notwithstanding its general advance in civilization, it should in this science have fallen so far short, not only of the Mexicans, but of the Muyscas, inhabiting the same elevated regions of the great southern plateau with themselves. These latter regulated their calendar on the same general plan of cycles and periodical series as the Aztecs, approaching yet nearer to the system pursued by the people of Asia.14