On the same principle, the Egyptians represented Osiris, their chief deity, by the symbol of an open eye, and placed this hieroglyphic of him in all their temples.  His symbolic name, on the monuments, was represented by the eye accompanying a throne, to which was sometimes added an abbreviated figure of the god, and sometimes what has been called a hatchet, but which, I consider, may as correctly be supposed to be a representation of a square.

The All-Seeing Eye may, then, be considered as a symbol of God manifested in his omnipresence—­his guardian and preserving character—­to which Solomon alludes in the Book of Proverbs (xv. 3), when he says, “The eyes of Jehovah are in every place, beholding (or as it might be more faithfully translated, watching) the evil and the good.”  It is a symbol of the Omnipresent Deity.

The triangle is another symbol which is entitled to our consideration.  There is, in fact, no other symbol which is more various in its application or more generally diffused throughout the whole system of both the Spurious and the Pure Freemasonry.

The equilateral triangle appears to have been adopted by nearly all the nations of antiquity as a symbol of the Deity.

Among the Hebrews, it has already been stated that this figure, with a yod in the centre, was used to represent the tetragrammaton, or ineffable name of God.

The Egyptians considered the equilateral triangle as the most perfect of figures, and a representative of the great principle of animated existence, each of its sides referring to one of the three departments of creation—­the animal, the vegetable, and the mineral.

The symbol of universal nature among the Egyptians was the right-angled triangle, of which the perpendicular side represented Osiris, or the male principle; the base, Isis, or the female principle; and the hypothenuse, their offspring, Horus, or the world emanating from the union of both principles.

All this, of course, is nothing more nor less than the phallus and cteis, or lingam and yoni, under a different form.

The symbol of the right-angled triangle was afterwards adopted by Pythagoras when he visited the banks of the Nile; and the discovery which he is said to have made in relation to the properties of this figure, but which he really learned from the Egyptian priests, is commemorated in Masonry by the introduction of the forty-seventh problem of Euclid’s First Book among the symbols of the third degree.  Here the same mystical application is supplied as in the Egyptian figure, namely, that the union of the male and female, or active and passive principles of nature, has produced the world.  For the geometrical proposition being that the squares of the perpendicular and base are equal to the square of the hypothenuse, they may be said to produce it in the same way as Osiris and Isis are equal to, or produce, the world.