The renowned British alchemist and mathematician Dr. John Dee wrote this treatise in thirteen days in 1564. The essay explains his discovery of the monad (unity) underlying the universe as expressed in a hieroglyph or symbol. Dee called this "Hieroglyphic Monad," a "magical parable" based on the Doctrine of Correspondences, which lies at the heart of alchemy. Through careful meditation and study of the glyph, he promised, its secrets may be slowly revealed. This version was translated from the Latin by J.W. Hamilton-Jones in 1947.
It is by the straight line and the circle that the first and most simple example and representation of all things may be demonstrated, whether such things be either non-existent or merely hidden under Nature's veils.
Although the semicircle of the Moon is placed above the circle of the Sun and would appear to be superior, nevertheless we know that the Sun is ruler and King. We see that the Moon in her shape and her proximity rivals the Sun with her grandeur, which is apparent to ordinary men, yet the face, or a semi-sphere of the Moon, always reflects the light of the Sun. It desires so much to be impregnated with solar rays and to be transformed into Sun that at times it disappears completely from the skies and some days after reappears, and we have represented her by the figure of the Horns (Cornucopia).
And truly I give the completion of the idea of the solar circle by adding a semicircle for the Moon, for the morning and the evening were the first day, and it was therefore in the first (day) that the Light of the Philosophers was made (or produced).
We see here that the Sun and the Moon are supported upon the right-angled
Cross. This Cross may signify very profoundly, and for sufficient reasons in our
hieroglyph, either the Ternary or the Quaternary. The Ternary is made by the two
straight lines having a copulative center. The Quaternary is produced by the four straight lines enclosing four right
angles. Either of these elements, the lines or the right angles, repeated twice,
therefore, afford us in the most secret manner the Octad, which I do not believe
was known to our predecessors, the Magi, and which you should study with great
attention. The threefold magic of the first Fathers and the wise men consisted
in Body, Soul and Spirit. Therefore, we have here the first manifested Septenary,
that is to say, two straight lines with a common point which make three, and the
four lines which converge to form the central point in separating the first two.
The Elements being far from their accustomed places, the homogeneous parts
are dislocated, and this a man learns by experiment, for it is along the
straight lines that they return naturally and effectively to these same places.
Therefore, it will not be absurd to represent the mystery of the four Elements,
in which it is possible to resolve each one into elementary form, by four
straight lines running in four contrary directions from one common and
indivisible point. Here you will notice particularly that the geometricians
teach that a line is produced by the displacement of a point: we give notice
that it must be the same here, and for a similar reason, because our elementary
lines are produced by a continual cascade of droplets as a flux in the mechanism
of our magic.
Besides, the kabbalistic extension of the Quaternary according to the common formula of notation (because we say one, two, three, and four) is an abridged or reduced form of the Decad. This is because Pythagoras was in the habit of saying: 1+2+3+4 make 10. It is not by chance that the right-angled Cross -- that is to say, the twenty-first letter of the Roman alphabet, which was considered as being formed by four straight lines -- was taken by the most ancient of the Roman Philosophers to represent the Decad. Further, they have defined the place where the Ternary conducts its force into the Septenary.
We see that all this accords perfectly with the Sun and Moon of our Monad, because, by the magic of the four Elements, an exact separation upon their original lines must be made; following which the circulatory conjunction within the solar complement through the peripheries of these same lines is performed, because however long a given line may be, it is possible to describe a circle passing through its extremes, following the laws of the geometricians. Therefore, we cannot deny how useful the Sun and the Moon are to our Monad, in conjunction with the decadal proportion of the Cross.
The following figure of the zodiacal sign Aries , in use amongst the astronomers, is the same for all the world (a sort of erection both cutting and pointed), and it is understood that it indicates the origin of the fiery triplicity in that part of the sky. Therefore, we have added the astronomical sign Aries to signify that in the practice of this Monad the use of fire is required. We finish the brief hieroglyphic consideration of our Monad, which we would sum up in one only hieroglyphic context:
The Sun and the Moon of this Monad desire that the Elements in which the
tenth proportion will flower, shall be separated, and this is done by the
application of Fire.
The mystical sign of the Ram, composed of two semicircles connected by one
common point, is very justly attributed to the place of the equinoctial
nycthemeron, because the period of twenty-four hours divided by means of the
equinox denotes most secret proportions. This I have said in respect of the Earth.
The very ancient wise men and Magi have transmitted to us five hieroglyphical signs of the planets, all of which are composed out of the signs used for the Moon and the Sun, together with the sign of the Elements and the hieroglyphical sign of Aries, the Ram, which will become apparent to those who examine these figures:
Each one of these signs will not be difficult to explain according to the hieroglyphical manner in view of our fundamental principles, already posited. To begin with, we will speak in paraphrases of those which possess the characteristics of the Moon: following that, of those which possess a solar character. When our lunar nature, by the science of the Elements, had accomplished the first revolution round our Earth, then it was called, mystically, Saturn.
Afterwards, at the following revolution,
it was named Jupiter, and holds a very secret figure. Then the Moon, developed
by yet a third journey, was represented very obscurely again by this figure
which it was their custom to call Mercury . You see how
this is Lunar. That it must be conducted through a fourth revolution will not be
contrary to our most secret design, whatever certain sages may say. In this
manner the pure magical spirit, by its spiritual virtue, will perform the work
of the albification at the place of the Moon; to us alone and as it were in the
middle of a natural day he will speak hieroglyphically without words,
introducing and imprinting these four geogonic figures in the pure Earth very
simply prepared by us: this last figure being in the middle of all the others.
Now regard the mystical character of Mars! Is it not formed from the hieroglyphs of the Sun and Aries, the magistery of the Elements partly intervening? And that of Venus -- I wish to know is it not produced from that of the Sun and the Elements according to the best exponents? Therefore, the planets look towards the solar periphery and the work of revivification.
In the progression we will notice this other Mercury will appear who is truly the twin brother of the first: for by the complete Lunar and Solar magic of the Elements, the Hieroglyph of this Messenger speaks to us very distinctly, and we should examine it carefully and listen to what it says. And (by the Will of God) it is the Mercury of the Philosophers, the greatly celebrated microcosm and ADAM. Therefore, some of the most expert were inclined to place him in a position of, and give him a rank equal to, the Sun himself.
This we cannot perform in the present epoch unless we add to this coraline
crystal work a certain SOUL separated from the body by the pyrognomic art. It is
very difficult to accomplish this and very perilous because of the fire and the Sulfur
which the breath contains within it. But certainly this Soul can perform marvelous
things. For example, join it by indissoluble ties to the disc of the
Moon (or at least of Mercury) by Lucifer and Fire. In the third place, it is
necessary that we should show (in order to demonstrate our Septenary number)
that it is the Sun of Philosophers itself. You will observe the exactitude as
well as the clarity with which this anatomy of our Hieroglyphic Monad
corresponds to what is signified in the arcana of these two theorems.
It is therefore clearly confirmed that the whole magistery depends upon the Sun and the Moon. Thrice Greatest Hermes has repeatedly told us this in affirming that the Sun is its father and the Moon is its mother: and we know truly that the red earth (terra lemnia) is nourished by the rays of the Moon and the Sun which exercise a singular influence upon it.
We suggest, therefore, that Philosophers should consider the action of the Sun and the Moon upon the Earth. They will notice that when the light of the Sun enters Aries, then the Moon, when she enters the next sign, that is to say Taurus, receives a new dignity in the light and is exalted in that sign in respect of her natural virtues. The Ancients explained this proximity of the luminaries -- the most remarkable of all -- by a certain mystic sign under the name of the Bull. It is very certain that it is this exaltation of the Moon to which in their treatises the astronomers from the most ancient times bear witness. This mystery can be understood only by those who have become the Absolute Pontiffs of the Mysteries. For the same reason they have said that Taurus is the house of Venus -- that is to say, of conjugal love, chaste and prolific, for nature rejoices in nature, as the great Ostanes concealed in his most secret mysteries. These exaltations are acquired by the Sun, because he himself, after having undergone many eclipses of his light, received the force of Mars, and is said to be exalted in this same house of Mars which is our Ram (Aries).
This most secret mystery is clearly and perfectly shown in our Monad by the hieroglyphic figure of Taurus, which is here represented, and by that of Mars, which we have indicated in Theorem XII and Theorem XIII by the Sun joined to a straight line towards the sign of Aries. In this theory another kabbalistic analysis of our Monad offers itself, because the true and ingenius explanation is this: the exaltations of the Moon and of the Sun ate made by means of the science of the Elements.
Note. -- There are two things which should be particularly observed:
first, that the hieroglyphic figure of Taurus is the same as the diphthong of
the Greeks [i.e. -ou], which was always used in
terminating the singular gender; secondly, that by a simple transposition of
place we show the letter alpha twice, by a circle and a half-circle, being
simply tangents which touch one another as shown.
We must now, in view of our subject, philosophize for a short time upon the Cross. Our Cross may be formed of two straight lines (as we have said) which are equal one to the other -- that is to say, we cannot separate the lines except we do it by parting them so that we get equal lengths. But in the mystic distribution of the components of our Cross, we wish to use parts which are both equal and unequal. These parts show that a virtue is hidden under the power of the division of the Equilateral Cross into two parts, because they are of equal grandeur. In general, the Cross must be composed of equal right angles, since the nature of justice demands the perfect equality of the lines used in the decussation. In accordance with this justice, we propose to examine with care that which follows concerning the Equilateral Cross (which is the twenty-first letter of the Latin alphabet).
If, through the common point where the opposite angles meet in our Rectilineal, Rectangular, and Equilateral Cross, we imagine a straight line dividing it into two parts, then on either side of the line thus traversed we find the parts are perfectly equal and similar. And these parts are similar in shape to that letter of the Romans which is regarded as the fifth of the vowels, and which was frequently used by the most ancient Latin philosophers to represent the number five.
Oh, my God, how profound are these mysteries! And the name E L is given to this letter! And for this very reason, we see that it responds to the decadal virtue of the Cross, because, starting from the first letter of the alphabet, L is the tenth letter, and counting backwards from the letter X, we find that it falls into the tenth place, and since we show that there are two parts of the Cross, and considering now their numerical virtue, it is quite clear how the number one hundred is produced. And if by the law of squares these two parts be multiplied together, they give a product of 2500. This square compared with the square of the first circular number, and applied to it, gives a difference of one hundred, which is the Cross itself explained by the square of its Decad, and is recognized as one hundred. Therefore, as this is contained within the figure of the Cross, it also represents unity. By the study of these theories of the Cross, the most dignified of all, we are thereby induced to utilize this progression, viz. one -- ten -- one hundred, and this is the decadal proportion of the Cross as it appears to us.
After a due study of the sixth theorem it is logical to proceed to a consideration of the four right angles in our Cross, to each one of which, as we have shown in the preceding theorem, we attribute the significance of the quinary according to the first position in which they are placed, and in transposing them to a new position, the same theorem shows that they become hieroglyphic signs of the number fifty. It is quite evident that the Cross is vulgarly used to indicate the number ten, and further, it is the twenty-first letter, following the order of the Latin alphabet, and it is for this reason that the sages amongst the Mecubales designated the number twenty-one by this same letter. In fact, we can give a very simple consideration to this sign to find out what other qualitative and quantitative virtues it possesses. From all these facts we see that we may safely conclude, by the best kabbalistic computation, that our Cross, by a marvelous metamorphosis, may signify for the Initiates two hundred and fifty-two. Thus: four times five, four times fifty, ten, twenty-one and one, which added together make two hundred and fifty-two. We can extract this number by two other methods as we have already shown: we recommend to the Kabbalists who have not yet made experiments to produce it, not only to study it in its conciseness, but also to form a judgment worthy of philosophers in regard to the various permutations and ingenious productions which arise from the magistery of this number. And I will not hide from you a further memorable mystagogy: consider that our Cross, containing so many ideas, conceals two further letters if we examine carefully their numerical virtues after a certain manner, so that, by a parallel method following their verbal force with this same Cross, we recognize with supreme admiration that it is from here that LIGHT is derived (LUX), the final word of the magistery, by the union and conjunction of the Ternary within the unity of the Word.
From our Theorems XII and XIII it may be inferred that celestial astronomy is the source and guide of the inferior astronomy. Before we raise our eyes to heaven, kabbalistically illuminated by the contemplation of these mysteries, we should perceive very exactly the construction of our Monad as it is shown to us not only in the LIGHT but also in life and nature, for it discloses explicitly, by its inner movement, the most secret mysteries of this physical analysis. We have contemplated the heavenly and divine functions of this celestial Messenger, and we now apply this co-ordination to the figure of the egg. It is well known that all astrologers teach that the form of the orbit traversed by a planet is circular, and because the wise should understand by a hint, it is thus that we interpret it in the hieroglyph shown, which conforms in every detail with all that has gone before.
By this means the great metamorphosis of the egg was accomplished; the
albumen was absorbed during a great many revolutions round the heliocentric
orbits, and was enveloped in this same yellow liquid. The hieroglyphic figure
shown here, of this art, will not displease those who are familiar with Nature. We read that during the early centuries, this art was much celebrated amongst
the most serious and ancient Philosophers, as being certain and useful.
Anaxagoras performed the magistery and extracted therefrom an excellent
medicine, as you may read in his book. He who devotes himself sincerely to these mysteries will see clearly that
nothing is able to exist without the virtue of our hieroglyphic Monad.
The Sun and the Moon shed their corporeal forces upon the bodies of the inferior Elements, much more so than all the other planets. It is this fact which shows, in effect, that in the pyrognomic analysis all metals lose the aqueous humor of the Moon as well as the igneous liquor of the Sun, by which all corporeal, terrestrial, and mortal things are sustained.
We have shown sufficiently that for very good reasons the Elements are represented in our Hieroglyph by the straight lines, therefore we give a very exact speculation concerning the point which we place in the center of our Cross. This point cannot by any means be abstracted from our Ternary. Should anyone who is ignorant of this divine learning, say that in this position of our Binary the point can be absent, we reply, he may suppose it to be absent, but that which remains without it will certainly not be our Binary; for the Quaternary is immediately manifested, because by removing the point we discontinue the unity of the lines. Now, our adversary may suppose that by this argument we have reconstructed our Binary; that in fact our Binary and our Quaternary are one and the same thing, according to this consideration, which is manifestly impossible. The point must of necessity be present, because with the Binary it constitutes our Ternary, and there is nothing that can be substituted in its place. Meanwhile he cannot divide the hypostatic property of our Binary without nullifying an integral part of it. Thus it is demonstrated that it must not be divided. All the parts of a line are lines. This is a point, and this confirms our hypothesis. Therefore, the point does not form part of our Binary and yet it forms part of the integral form of the Binary. It follows that we must take notice of all that is hidden within this hypostatic form and understand that there is nothing superfluous in the linear dimension of our Binary. But because we see that these dimensions are common to both lines, they are considered to receive a certain secret image from this Binary. By this we demonstrate here that the Quaternary is concealed within the Ternary. O God! pardon me if I have sinned against Thy Majesty in revealing such a great mystery in my writings which all may read, but I believe that only those who are truly worthy will understand.
We therefore continue to expound the Quaternary of our Cross as we have indicated. Seek diligently to discover whether the point may be removed from the position in which we first find it. The mathematicians teach that it may be displaced quite simply. At the moment when it is separated the Quaternary remains, and it becomes much more clear and distinct to the eyes of all. This is not a part of its substantial proportions, but only the confused and superfluous point which is rejected and removed.
O Omnipotent Divine Majesty, how we Mortals are constrained to confess what great Wisdom and what ineffable mysteries reside in the Law which Thou hast made! Through all these points and these letters the most sublime secrets, and terrestrial arcane mysteries, as well as the multiple revelations of this unique point, now placed in the Light and examined by me, can be faithfully demonstrated and explained. This point is not superfluous within the Divine Trinity, yet when considered, on the other hand, within the Kingdom of the four Elements it is black, therefore corruptible and watery. O thrice and four times happy, the man who attains this (almost copulative) point in the Ternary, and rejects and removes that somber and superfluous part of the Quaternary, the source of vague shadows. Thus after some effort we obtain the white vestments brilliant as the snow.
Oh, Maximilian! May God, through this mystagogy, make you or some other scion of the House of Austria the most powerful of all when the time comes for me to remain tranquil in Christ, in order that the honor of His redoubtable name may be restored within the abominable and intolerable shadows hovering above the Earth. And now for fear that I myself should say too much I shall immediately return to the burden of my task, and because I have already terminated my discourse for those whose gaze is centered within the heart, it is now necessary to translate my words for those whose heart is centered within their eyes. Here, therefore, we can represent in some measure in the figure of the Cross that which we have already said. Two equal lines are equally and unequally crossed through the point of necessity which you see in A.
If that which is hidden within the profundities of our Monad be brought to light, or, on the contrary, if those primary parts which are exterior in our Monad are enclosed in the center, you will see the extent to which the philosophical transformation can be produced. We will now expound to you another local commutation of our mystical Monad, using those parts from the hieroglyphic characters of the superior planets which are immediately offered to us. Each one of the other planets for this purpose is in turn elevated to a position which was frequently assigned to them by Plato, therefore, if they are conveniently taken in this position and at this point in Aries, Saturn and Jupiter are in conjunction. By descending, the Cross represents Venus and Mercury, followed by the Sun himself with the Moon at the bottom. This will be refuted in other circles; meantime, as we have no wish to hide the philosophical treasure of our Monad, we have taken a resolution to give a reason by which the position of the Monad is by this manner displaced. Yet see! listen to these other great secrets which I know and will disclose to assist you as touching this position, which I can explain in few words. We distribute our Monad, now looked at from a different aspect, and analyzed in a different manner, as is seen at B, D, C. In this new Ternary the figures C and D are known to all men, but the figure designated B is not easy of comprehension.
We will now examine, according to the fundamentals of our hieroglyphic Art, the nature of this third figure B. First, we carry to the Crown the double crescent of the Moon which is our Aries, turned round in a mystical manner. Then follows the hieroglyphic sign of the Elements, which is attached to it. As to why we use the double Moon, it may be explained that it is according to the matter, which requires a double quantity of the Moon. We speak of those grades of which in their experiments the Philosophers could find no more than four, amongst all created substances, that is to say, to be, to live, to feel and to comprehend (esse, vivere, sentire et entelligere). In saying that the first two of these Elements are found here, we say that they are called argent vive (luna existens, viva), all life being subject to movement, there being six principles of movement. The Cross which is attached implies that in this artifice the Elements are requisite. We have told you many times that in our theory the hieroglyph of the Moon is like a semicircle, and on the contrary the complete circle signifies the Sun, whereas here we have two semicircles separated, but touching at a common point; if these are combined, as they can be by a certain art, the product can represent the circular plenitude of the Sun. From all those things which we have considered, the result is that we can summaries, and in hieroglyphic form, offer the following:
Argent vive, which must be developed by the magistery of the Elements, possesses the power of the solar force through the unification of its two semicircles combined by a secret art.
The circle, of which we have spoken and which we designate in the figure by the letter E, is thus accomplished and formed. You will recollect, we have said that the solar degree is not delivered to us ready to our hand by Nature, but that it is artificial and not produced by Nature, it being available to us in its first aspect in accordance with its proper nature (as in B) in two parts separated and dissolved, and not solidly united in the solar body. In fact, the semi-diameter of these half-circles is not equal to the semi-diameter of D and C, but much smaller. Everyone can see this from the manner in which we have drawn them in the diagram, from which it is clear that this same B has not as great an amplitude as D and C. The proportions in the figure confirm this, being by this means transformed into a circle from B into E. Therefore, there appears before our eyes the sign of Venus alone. We have already demonstrated by these hieroglyphical syllogisms that from B we cannot obtain the true D, and that the true C is not and cannot be completely within the nature of B; therefore, this of itself is not able to become the true "Argent Vive." You may already doubt the subject of this life and of this movement, whether it is possible, in fact, to possess it naturally or not. However, as we have already explained to the wise, all those things which are said about B, in a similar manner will be at least analogical, and all that which we have briefly taught concerning C and D can be very well applied, by analogy, to this same B accompanied by its Elements. Indeed, that which we have attached to the nature of Aries, should exactly fit the case, because it carries this figure B, although reversed, at its summit, and that which is attached to the figure B, is the mystical figure of the Elements. Therefore, we see by this anatomy that from the body of our Monad alone, separated in this manner by our Art, this new Ternary is formed. This we cannot doubt, for the reason that the members which composed it reassemble and form amongst themselves of their own free will a monadic union and sympathy which is absolute. By this means we discover amongst these members a force which is both magnetic and active.
Finally I think it well to note here, by way of recreation, that this same B shows very clearly the same proportions in the malformed and rustic letter in that it carries visible points towards the top and at the front and that these letters are three in number, otherwise they number six, summarizing three times three: they are crude and malformed, unstable and inconstant, made in such a manner as to appear formed of a series of half-circles.
We now pass on to another subject; we wish to point the way, not only in a
friendly but also in a faithful manner, to those other secrets upon which we
must insist, before we lapse into silence and which, as we have said, comprise a
most remarkable infinitude of other mysteries.
It will be readily understood that the mysteries of our Monad cannot be extracted unless one is drawn towards the pharmacy of this same Monad, and that these mysteries must not be revealed to any but the Initiates. I offer here for the contemplation of your Serene Highness, the vessels of the Sacred Art which are truly and completely kabbalistic. All those lines which unite the diverse parts of our Monad are most wisely separated; we give to each one of them a special letter, in order to distinguish them one from another as you will see in the diagram.
We inform you that in "oc" [the mark in the upper right hand corner resembling the symbol for Taurus lying on it's side] is found a certain artificial vessel, formed of A and B with the line M. The exterior diameter is common to both A and B, and this is not different, as we see, from this the first letter of the Greek alphabet, except by a single transposition of the parts. We teach the true mystical sympathy first by the line, the circle, and the semicircle, and, as we have formerly said, this symmetry can only be formed of the circle and the semicircle, which are always joined for the same mystical purpose.
It follows that the round vessel (Greek letter L) and the semi-round vessel (Greek letter D) are in themselves the shapes of other vessels. That is to say, the round vessel or retort is made of glass and the semi-round vessel or bowl is of earth (earthenware or clay). In the second place, both these together remind us of the Pestle and Mortar, which must be made of suitable substance, in which artificial unperforated pearls, lamels of crystal and beryl, chrysolite, precious rubies, carbuncles and other rare artificial stones may be ground to powder.
Lastly, that which is indicated by the Greek letter omega (W) is a small vessel containing the mysteries, which is never far from this last letter of the Greek alphabet now restored to its primitive mystagogy, and which is made by a single transposition of its component parts, consisting of two half-circles of equal size. Concerning the vulgar objects and necessities which are required in addition to the vessels, and the materials out of which they should be fashioned, it would be useless that we should treat of it here. Meanwhile a must be considered as if searching for the occasion to perform its function by a very secret and rapid spiral circulation and an incorruptible salt by which the first principle of all things is preserved, or better, that the substance which floats within the vitriol after its dissolution, shows the apprentice a primordial but very transitory specimen of our work, and if he is attentive, a very subtle and most effective way to prepare the work will be revealed to him.
Within the round glass vessel (Greek L) during the exercise of its particular function, all air must be excluded or it will be extremely prejudicial. The corollary of the small vessel (Greek letter W) is the agreeable man, ready, active, and well disposed at all times.
Who, then, is not now able to procure the sweet and salutary fruits of this Science, which, I say, spring from the mystery of these two letters? Some of those who would draw us away from our Garden of the Hesperides, and would make us view this a little closer as in a mirror, say that it is established that it is not formed from anything but out Monad. But the straight line which appears in Alpha is homologous with that which, in the separation of the final analysis of our Cross, is already designated by the letter M. One may discover by these means from where the others are produced. See the scheme outlined in the table:
In these few words, I know that I give not only the principles but the
demonstration to those who can see in them how to fortify the igneous vigor and
the celestial origin, so that they may lend a willing ear to the great
Democritus, certain that it is not mythical dogma but mystic and secret,
according to which it is the medicine of the soul, the liberator from all
suffering, and is prepared for those who wish for it and as he has taught; it is
to be sought for in the Voice of the Creator of the Universe, so that men,
inspired by God, and engendered anew, learn through the perfect disquisition of
the mystical languages.
We now present in diagrammatic form the proportions already observed by us in the hieroglyphic construction of our Monad, which must be observed by those who wish to engrave them upon their seals or their rings, or to utilize them in some other manner. In the name of Jesus Christ crucified upon the Cross, I say the Spirit writes these things rapidly through me; I hope, and I believe, I am merely the quill which traces these characters. The Spirit draws us now towards our Cross of the Elements, with all the following measures which are also to be obtained by a reasoning process according to the subject-matter which it is proposed to discuss.
Everything which exists under the heaven of the Moon contains the principle of its own generation within itself and is formed from the coagulation of the four Elements, unless it be the primary substance itself, and this in several ways not known to the vulgar, there being nothing in the created world in which the Elements are in equal proportion or in equal force. But by means of our Art, they can be restored to equality in certain respects, as the wise well know; therefore, in our Cross, we make the parts equal and unequal. Another reason is that we can proclaim either similitude, or diversity, or unity, or plurality in affirming the secret properties of the equilateral Cross, as we have said before. If we were to expound all the reasons which we know, for the proportions established in this way, or if we were to demonstrate the causes by another method which we have not done, although we have done so sufficiently for the Sages, we should transcend the limits of obscurity which we have prescribed, not without reason, for our discourse.
It would be well to notice, you who know the distances of our mechanism, that the whole of the line CK is composed of nine parts, of which one is our fundamental, and which in another fashion is able to contribute towards the perfection of our work: then, again, all the diameters and semi-diameters must be designated here by suppositional lines hidden or obscured, as the geometricians say. It is not necessary to leave any center visible, the exception being the solar center, which is here marked by the letter I, to which it is unnecessary to add any letter. Meanwhile those who are adept at our mechanism can add something to the solar periphery, by way of ornament and not by virtue of any mystical necessity: for this reason it has not been formerly considered by us. This something is a boundary ring, necessarily a line parallel to the original periphery. The distance between these parallels may be fixed at a quarter or a fifth part of the distance AB. One may also give to the crescent of the Moon a form which this planet frequently assumes in the sky, after her conjunction with the Sun -- that is to say, in the form of the Horns, which you will obtain if from the point K in the direction of R you measure the distance just mentioned, i.e. the fourth or fifth part of the line AB, and if from the point thereby obtained, as a center, you trace with the original lunar radius the second part of the lunar crescent, which joins the extremities at both ends of the first semicircle. You may perform a similar operation in respect of the positions M and N when erecting the perpendicular at each one of these center points; we can use the sixth part of AB or a little less, from which point, as the center, we describe two other semicircles, using the radius of the two first, MC and NC.
Lastly, the parallels may be traced at each side of the two lines of our Cross, each side at a distance from the center line of one-eighth to one-tenth part of the distance AB, in such a way that our Cross be in this manner formed into four superficial lines where the width is the fourth or the fifth part of this same line AB.
I have wished in some way to sketch these ornaments in the figure which each one may reproduce according to his own fancy. It is a condition, however, that you do not commit any fault, however small, against the mystical symmetry for fear of introducing by your negligence a new discipline into these hieroglyphic measurements; for it is very necessary that during the succeeding progression in time they must be neither disturbed nor destroyed. This is much more profound than we are able to indicate, even if we wished to do so, in this small book, for we teach Truth, the daughter of Time, God willing.
We will now expound methodically certain things which you may find on your way by practicing the proportions of our Monad. Then we will show by many examples the existence of four lines corresponding to the four lines of our Cross, and which in this consideration we are not able simply to announce, because of the proportions and the particular and mystical results which are produced in another fashion, from the Quaternary of these same lines. And thirdly, we will show that there exist within Nature certain useful functions determined by God by means of numbers, which we have happily obtained and which are explained either in this theorem, or in others, contained in this little book.
Finally, we will insert other things in an opportune place which, if they are conveniently understood, will produce fruits most abundantly. We now abruptly conclude:
Of the Pythagorean Quaternary
24 possible permutations.
The Pythagorean sum is 10.
A complete addition of the parts yields 30.
Take the same proportion which is shown in numbers when written in the natural order, after the first Monad, then from the first to the last make a continuous multiplication -- that is to say, the first by the second, the product of these two by the third, and this product by the fourth, and so on until the last; the final product determines all the Metatheses possible, in respect of the proportion in space, and for the same reason in proportion to diverse objects as you wish.
I tell thee, O King, this operation will be useful unto thee in many circumstances, whether in the study of Nature or in the affairs of the government of men; for it is that which I am accustomed to use with the greatest of pleasure in the Tziruph or Themura of the Hebrews.
|Of the artificial quaternary:||
I know that many other powerful numbers may be produced out of our Quaternary, by virtue of arithmetic and the power of numbers. Yet he who does not understand that a very great obscurity has by this method been illuminated by those numbers which I have drawn out which have nature and distinction amongst such a multitude, will not be able to estimate their meaning, which is obscure and not to the point. How many will find in our numbers the authority which we have promised for the weight of the Elements; for the statements regarding measurements of time; and for the certainty of proportions which may be assigned to the powers and forces of things? All this you should study in the two preceding diagrams.
Many things may be deduced from the diagrams which, it is preferable, should be studied silently rather than divulged openly in words. Meantime, let us inform you of one thing, amongst many others, disclosed now for the first time by us, in respect of this new Art; to wit, we have here established a rational cause by virtue of which the Quaternary with the Decad, in a certain manner, terminate the numerical series. We affirm that this cause is not exactly that which was described by the Masters who have preceded us, but just as we have stated it here. This Monad has been integrally and physically restored to itself -- that is to say, it is truly the Monad Unitissima, the proved unity of the images; and it is not within the power of Nature, neither can we by any art promote in it any movement or any progression whatsoever, unless it be by four super-celestial cycles or revolutions, and from this Monad is engendered that which we wish to note as the manner and course of its eminence; and for this reason, that there is not in the elemental world, nor in the celestial or super-celestial worlds, any created power or influence which cannot be absolutely favored and enriched by it.
It was because of the true effect of this that four illustrious men, friends
of Philosophy, were upon an occasion together in the great work. One day they
were astonished by a great miracle in this thing, and forthwith dedicated
themselves from that day forward to sing praises to God and to preach the thrice
Mighty because He had given them so much wisdom and power and so great an Empire
over all other creatures.
Just as we commenced the first theorem of this little book with the point, the straight line, and the circle, and have extended it from the Monadic point to the extreme linear efflux of the Elements in a circle, almost analogous to the equinoctial which makes one revolution in 24 hours, so now at last we consummate and terminate the metamorphosis and the metathesis of all possible contents of the Quaternary defined by the number 24 by our present twenty-fourth theorem, to the honor and Glory of Him, as witnessed John the Archpraesul of the Divine Mysteries, in the fourth and last part of the fourth chapter of the Apocalypse, who is seated on His Throne, around and in front of which the four animals, each with six wings, chant night and day without repose: "Holy, Holy, Holy is the Lord God Omnipotent, who was, is and is to come," the same as the 24 ancient ones in the 24 seats placed in the circle, adore Him and prostrate themselves, having cast their Crowns of gold to earth, saying: "Worthy art Thou, O God, to receive Glory, Honor, and Virtue, because Thou hast created all things, and out of Thy Will they have been created."
Amen, says the fourth letter, D. He to whom God has given the will and the ability to know in this way the Divine mystery through the eternal monuments of literature and to finish with great tranquility this work on the 25th January, having commenced it on the 13th of the same month in the year 1564 at Antwerp.
Here the vulgar eye will see nothing but Obscurity and will despair