Some of the Greek philosophers reflected in their teachings, as well as in their writings, the doctrines they had learned from their teachers, the priests of Heliopolis, Memphis and Thebes. From them we may gather a glimmer of dim light pointing toward the origin of the symbolization of the numbers. We have said that Proclus asserts that the three component parts of the triple deity were three intellects or _three Kings_—a fact corroborated by Plato, who also had been admitted to the mysteries, and by Orpheus, who celebrated these _three Kings_, in the ceremonies instituted by him, that Herodotus says were identical with the Egyptian mysteries. Pythagoras, who had received his knowledge of the numbers and their meaning from the Egyptians, taught his disciples that God was number and harmony. He caused them to honor numbers and geometrical diagrams with the names of the gods. The Egyptians likened nature to the equilateral triangle, the most perfect and beautiful of all triangles; and according to Servius, assigned the perfect number 3 to the great God. The Chaldees symbolized the Eusoph or great light, by an equilateral triangle; and in the _Sri-Santara_ or cosmogonical diagram of the Hindoos, which has served as model for many of their temples, the nameless, the great _Aum_ that dwells in the infinite, is figured as an equilateral triangle. The Egyptians held the equilateral triangle as the symbol of "Nature" beautiful and fruitful. In the hieroglyphs it was the emblem of worship. We see, over the main altar, in all the ancient Catholic churches, the representation of an equilateral triangle containing the all-seeing eye of Osiris, as symbol of Deity. The same emblem is familiar also to those who visit masonic lodges as one under which is figured the "Great Architect of the Universe." If from those countries that we have been accustomed to consider as the "Old World," and guided by the three words of dismissal used by the Brahmins, and the officiating priests of Eleusis, at the closing of their religious ceremonies, words we have shown to belong to the Maya language, we carry our inquiries into the "Lands of the West," there again we will find that the triangle was also symbolical among the Mayas and their neighbors. We see it in the position of the three semispheres carved, as already said, at each end of the northern chamber of the building above the sanctuary at Uxmal. We next meet with it in the triangular arches that form the ceilings of the apartments in all the temples and palaces, in fact in all the edifices of Mayax, as well as in those of Palenque and other localities of Central America.