I have shown how, among the polytheistic nations, there were a few persons who still had a dim and clouded understanding of these traditions, and that they taught them in certain secret institutions, known as the "Mysteries," thus establishing another branch of the speculative science which is known under the name of the Spurious Freemasonry of antiquity. Again, I have shown how one sect or division of these Spurious Freemasons existed at Tyre about the time of the building of King Solomon's temple, and added to their speculative science, which was much purer than that of their contemporary Gentile mystics, the practice of the arts of architecture and sculpture, under the name of the Dionysiac Fraternity of Artificers. And, lastly, I have shown how, at the building of the Solomonic temple, on the invitation of the king of Israel, a large body of these architects repaired from Tyre to Jerusalem, organized a new institution, or, rather, a modification of the two old ones, the Primitive Freemasons among the Israelites yielding something, and the Spurious Freemasons among the Tyrians yielding more; the former purifying the speculative science, and the latter introducing the operative art, together with the mystical ceremonies with which they accompanied its administration. It is at this epoch, then, that I place the first union of speculative and operative Masonry,--a union which continued uninterruptedly to exist until a comparatively recent period, to which I shall have occasion hereafter briefly to advert. The other branches of the Spurious Freemasonry were not, however, altogether and at once abolished by this union, but continued also to exist and teach their half-truthful dogmas, for ages after, with interrupted success and diminished influence, until, in the fifth century of the Christian era, the whole of them were proscribed by the Emperor Theodosius. From time to time, however, other partial unions took place, as in the instance of Pythagoras, who, originally a member of the school of Spurious Freemasonry, was, during his visit to Babylon, about four hundred and fifty years after the union at the temple of Jerusalem, initiated by the captive Israelites into the rites of Temple Masonry, whence the instructions of that sage approximate much more nearly to the principles of Freemasonry, both in spirit and in letter, than those of any other of the philosophers of antiquity; for which reason he is familiarly called, in the modern masonic lectures, "an ancient friend and brother," and an important symbol of the order, the forty-seventh problem of Euclid, has been consecrated to his memory.