it is also shown that the easiest method for finding the centre of a circle, however large, or any segment of a circle, is by means of the Vesica Piscis. And just as we see so many Cathedrals of the Middle Ages are stated by antiquarians to have been planned on the Equilateral Triangle, so do we find the Pentagon appearing as the basis of Architectural designs of buildings of a later date, such as Liverpool Castle, Chester Castle, and other similar structures; but the true means by which each were laid down, as in the case of the Equilateral Triangle, was again the Vesica Piscis. A beautiful example of decoration, on the basis of the Vesica, is seen in the tomb of Edward the Confessor in Westminster Abbey. I will conclude this subject by quoting from the summing up by Prof. Kerrich (Principal Librarian to the University of Cambridge in 1820), in his masterly Essay on Architecture, where he gives the different forms of what he calls the "Mysterious Figure," used in the most noted Gothic buildings: he says, "I would in nowise indulge in conjectures as to the reference these figures might possibly have to the most sacred mysteries of religion; independently of any such allusion, their properties are of themselves sufficiently extraordinary to have struck all who have observed them." From earliest Christian times the principal _doctrine_ based upon the Mysticism of the Neo-platonists and the Kabalists was what was called the [Greek: Gnosis], the Knowledge of the All, and the fundamental basis of this, as of all esoteric teaching from the beginning of History, was _Procreation_. From the first dawn of civilisation the "Great One" always had an enemy with whom he had to fight; having conquered, he married that enemy, and their offspring was Life or Duration. In the oldest forms, as in Persia and ancient Egypt, it was Light and Darkness, "Ormuz and Ahriman," "Osiris and Isis," the Light conquering Darkness, the Day conquering Night, resulting in Time and duration. In the Eleusinian Mysteries it was the "Sun and Earth" producing Vegetable Life, and in the [Greek: Gnosis] it was the "Ainsoph and Ignorance," resulting in True Knowledge or Everlasting Life.