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Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. The Secret Doctrine Of H. P. Blavatsky, a work Of erudition containing a vast fund Of archaic doctrine, has supplied me with valuable quotations. If any readers desire a deeper insight into the analogies between numbers and ideas, I refer them in addition to the works Of Eliphaz Levi, Athanasius Kircher, Godfrey Higgins, Michael Maier, and John Heydon I have quoted from each Of these authorities, and Thomas Taylor's Theoretic Arithmetic has supplied me with a great part Of the purely arithmetical notions Of the Pythagoreans, the elucidation of which was mainly due to him. In conclusion, I request my readers.