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The equilateral triangle, which is the simplest geometrical figure which can enclose a space, thus satisfying the mind the easiest of any, is nigh universal in symbolism. It is seen in the Egyptian pyramids, whose sides are equilateral triangles with a common apex, in the mediæval cathedrals, whose designs are combinations of such triangles, in the sign for the trinity, the pentalpha, etc.

The All-Seeing Eye, the Burning Star, the Rough and Perfect Ashlar, the Point within a Circle, the Pentalpha, the Seal of Solomon, the Cubic Stone all these belong to the most lofty and arcane order of occult symbolism, but in mystic science they illumine more exalted zones of the heaven of mind.

The only part of the church which can possibly have been built in the thirteenth century is the central part of the west front. The pointed door below stands under a projecting gable like that at São Francisco Santarem, except that there is a five-foiled circle above the arch containing a pentalpha, put there perhaps to keep out witches.

But thou must wear this seal of God; and this engraving of the seal of the ring sent thee is a Pentalpha." Armed with it, Solomon called up all the demons before him, and he asked of each in turn his or her name, as well as the name of the star or constellation or zodiacal sign and of the particular angel to the influence of which each is subject.