“In the first section below and the text following it, not given but to which the careful reader is referred, the hierarchy is fairly strictly that of Saint Gregory and Denis. In the second section here we have a threefold division according to the lower planetary spheres, exactly along the lines given in the passage describing the principle hierarchies of the Sigillum, that is Thrones, Archangels (or as demonstrated above Trumpets) and Angels. And in the final section we see that Thrones are assigned to the motions of the heavenly spheres. This is the function they seem to have in the overall structure of the Sigillum and which clearly relates to the magical theories of Dee’s own Propeadeumata Aphoristica.” [via]
“This description is particularly appropriate to their placement on and derivation from the Circumference of the Sigillum, in that the Circumference itself is one great wheel and the names as drawn therefrom form both wheels about and within this larger wheel, as well as figures like unto lighting bolts.” [via]
“In order to see why Dee and Kelly would have recognized a term like ‘Throne’ to be a definition of one of the Orders found in the Sigillum, it is important to understand how the concept evolved theologically.” [via]
“Curiously, and we have to wonder if it was known or unknown to Dee, the geometry of the Monad as analyzed and expected in Theorem XXIII when applied to a circle subdivides the circumference of a circle into seven equal divisions with almost perfect elegance. This finding was first made by Clay Holden, in whose debt we are for this important discovery and the initial geometric constructions demonstrating the figure.
This correlation of the Monad to the sevenfold division of the circle indicates that an intimate relationship may exist between the metaphysical formulae of Dee’s Monad and Sigillum, sevenfold division being the very foundation of the formulae of the Sigillum.” [via]
“The encoding of this connection is indicated by the relationship of the geometry of the Monad with that of the Sigillum. Note that the problem of constructing a regular heptagon sept-dividing (dividing a circle into seven equal parts) with the aid of a compass and a straightedge only without the aid of measurement has been a problem since classical times. So difficult a problem is it that no such formulation is provided in the Elements of Euclid, to which John Dee wrote his famous preface. A solution by Archimedes is preserved in Arabic, but was not rediscovered until 1927, and is notable even to its author/preserver for its lack of elegance.” [via]
“The Sigillum, as noted above, begins with the 4T and ends with the ω. The placement of the initial letter of the Sigillum’s symbolic construction may also be an allusion to the principle of AZOTh, T in the Angelic alphabet being Gisg, its last letter.” [via]
“We posit that there is a more than indirect relationship between the Sigillum and the Hieroglyphic Monad, that in fact the Monad provides a key to the proper attribution of symbols and values to the names encrypted within the Sigillum.” [via]
“At the top of the Sigillum in the first division is a T with a 4 above it. As we have already seen this 4T is a significant marker for much of the Enochian system. It provides the orientation for both the Sigillum and the Watchtowers.” [via]
“The circumference of the Sigillum is divided into 40 equal segments (of 9° divisions 360/40=9) containing either letters and numbers or letters alone. The letters and numbers are used in a simple algorithm for drawing out divine names from the circumference which will be dealt with in due course. It is presumed that the reader has read through at least Mysteriorum Liber Secundus prior to reading this analysis.”
Added part V of David Richard Jones‘ In Operibus Sigillo Dei Aemeth, “The Eight Companies of Five and Their Sigils” to the site today. I’m still proofing this document, but it’s up on the site today so you can take a gander!
“All the Companies of these 40, stood five together, and five together, and so in eight Companies; each of five.”