(5) Such, then, is the style of the example in arithmetic. And let the testimony of geometry be the tabernacle that was constructed, and the ark that was fashioned, - constructed in most regular proportions, and through divine ideas, by the gift of understanding, which leads us from things of sense to intellectual objects, or rather from these to holy things, and to the holy of holies. For the squares of wood indicate that the square form, producing fight angles, pervades all, and points out security. And the length of the structure was three hundred cubits, and the breadth fifty, and the height thirty; and above, the ark ends in a cubit, narrowing to a cubit from the broad base like a pyramid, the symbol of those who are purified and tested by fire. And this geometrical proportion has a place, for the transport of those holy abodes, whose differences are indicated by the differences of the numbers set down below.

(99) "Perfect numbers, therefore, are beautiful images of the virtues which are certain media between excess and defect, and are not summits, as by some of the ancients they were supposed to be. And evil indeed is opposed to evil, but both are opposed to one good. Good, however, is never opposed to good, but to two evils at one and the same time. Thus timidity is opposed to audacity, to both [of] which the want of true courage is common; but both timidity and audacity are opposed to fortitude. Craft also is opposed to fatuity, to both [of] which the want of intellect is common; and both these are opposed to prudence. Thus, too, profusion is opposed to avarice, to both [of] which illiberality is common; and both these are opposed to liberality. And in a similar manner in the other virtues; by all [of] which it is evident that perfect numbers have a great similitude to the virtues. But they also resemble the virtues on another account; for they are rarely found, as being few, and they are generated in a very constant order. On the contrary, an infinite multitude of superabundant and diminished numbers may be found, nor are they disposed in any orderly series, nor generated from any certain end; and hence they have a great similitude to the vices, which are numerous, inordinate, and indefinite."

(6) And the numbers introduced are sixfold, as three hundred is six times fifty; and tenfold, as three hundred is ten times thirty; and containing one and two-thirds (epidimoiroi), for fifty is one and two-thirds of thirty.

(1) After this we must narrate how, when he had admitted certain persons to be his disciples, he distributed them into different classes according to their respective merits. For it was not fit that all of them should equally participate of the same things, as they were naturally dissimilar; nor was it indeed right that some should participate of all the most honorable auditions, but others of none, or should not at all partake of them. For this would be uncommunicative and unjust. While therefore he imparted a convenient portion of his discourses to each, he benefited as much as possible all of them, and preserved the proportion of justice, by making each a partaker of the auditions according to his desert.

Hence, in conformity to this method, he called some of them Pythagoreans, but others Pythagorists; just as we denominate some men Attics, but others Atticists. Having therefore thus aptly divided their names, some of them he considered to be genuine, but he ordained that others should show themselves to be the emulators of these. He ordered therefore that with the Pythagoreans possessions should be shared in common, and that they should always live together; but that each of the others should possess his own property apart from the rest, and that assembling together in the same place, they should mutually be at leisure for the same pursuits. And thus each of these modes was derived from Pythagoras, and transmitted to his successors.

Again, there were also with the Pythagoreans two forms of philosophy; for there were likewise two genera of those that pursued it, the Acusmatici, and the Mathematici. Of these however the Mathematici are acknowledged to be Pythagoreans by the rest; but the Mathematici do not admit that the Acusmatici are so, or that they derived their instruction from Pythagoras, but from Hippasus. And with respect to Hippasus, some say that he was a Crotonian, but others a Metapontine. But the philosophy of the Acusmatici consists in auditions unaccompanied with demonstrations and a reasoning process; because it merely orders a thing to be done in a certain way, and that they should endeavour to preserve such other things as were said by him, as so many divine dogmas.

They however profess that they will not speak of them, and that they are not to be spoken of; but they conceive those of their sect to be the best furnished with wisdom, who retained what they had heard more than others. But all these auditions are divided into three species. For some of them indeed signify what a thing is; others what it especially is; but others, what ought, or what ought not, to be done. The auditions therefore which signify what a thing is, are such as, What are the islands of the blessed? The sun and moon. What is the oracle at Delphi? The tetractys. What is harmony? That in which the Syrens subsist . But the auditions which signify what a thing especially is, are such as, What is the most just thing?

To sacrifice. What is the wisest thing? Number. But the next to this in wisdom, is that which gives names to things. What is the wisest of the things that are with us, [i. e. which pertain to human concerns]? Medicine. What is the most beautiful? Harmony. What is the most powerful? Mental decision. What is the most excellent? Felicity. What is that which is most truly asserted? That men are depraved. Hence they say that Pythagoras praised the Salaminian poet Hippodomas, because he sings:

(1) [Trismegistus] ’Tis in this way, Asclepius;—by mixing it, by means of subtle expositions, with divers sciences not easy to be grasped,—such as arithmetic, and music, and geometry. But Pure Philosophy, which doth depend on godly piety alone, should only so far occupy itself with other arts, that it may [know how to] appreciate the working out in numbers of the fore-appointed stations of the stars when they return, and of the course of their procession. Let her, moreover, know how to appreciate the Earth’s dimensions, its qualities and quantities, the Water’s depths, the strength of Fire, and the effects and nature of all these. [And so] let her give worship and give praise unto the Art and Mind of God.

(3) That which Timaeus argues of the soul Doth not resemble that which here is seen, Because it seems that as he speaks he thinks. He says the soul unto its star returns, Believing it to have been severed thence Whenever nature gave it as a form. Perhaps his doctrine is of other guise Than the words sound, and possibly may be With meaning that is not to be derided. If he doth mean that to these wheels return The honour of their influence and the blame, Perhaps his bow doth hit upon some truth. This principle ill understood once warped The whole world nearly, till it went astray Invoking Jove and Mercury and Mars. The other doubt which doth disquiet thee Less venom has, for its malevolence Could never lead thee otherwhere from me. That as unjust our justice should appear In eyes of mortals, is an argument Of faith, and not of sin heretical. But still, that your perception may be able To thoroughly penetrate this verity, As thou desirest, I will satisfy thee.

(5) Then said he to another, And how much owest thou? And he said, A hundred measures of wheat. And he said unto him, Take thy bill, and write four-score.

(16) "The design of a temple depends on symmetry, the principles of which must be most carefully observed by the architect. They are due to proportion, in ἀναλογία. Proportion is a correspondence among the measures of the members of an entire work, and of the whole to a certain part selected as standard. From this result the principles of symmetry. Without symmetry and proportion there can be no principles in the design of any temple; that is, if there is no precise relation between its members, as in the case of those of a well shaped man. For the human body is so designed by nature that the face, from the chin to the top of the forehead and the lowest roots of the hair, is a tenth part of the whole height; the open hand from the wrist to the tip of the middle finger is just the same; the head from the chin to the crown is an eighth, and with the neck and shoulder from the top of the breast to the lowest roots of the hair is a sixth; from the middle of the breast to the summit of the crown is a fourth. If we take the height of the face itself, the distance from the bottom of the chin to the under side of the nostrils [and from that point] to a line between the eyebrows is the same; from there to the lowest roots of the hair is also a third, comprising the forehead. The length of the foot is one sixth of the height of the body; of the forearm, one fourth; and the breadth of the breast is also one fourth. The other members, too, have their own symmetrical proportions, and it was by employing them that the famous painters and sculptors of antiquity attained to great and endless renown."

(28) The Mind of the Father said that all things should be cut into Three, whose Will assented, and immediately all things were so divided.

(12) At this point I have just recollected the following. In the end of the Timoeus he says: "You must necessarily assimilate that which perceives to that which is perceived, according to its original nature; and it is by so assimilating it that you attain to the end of the highest life proposed by the gods to men, for the present or the future time." For those have equal power with these. He, who seeks, will not stop till he find; and having found, he will wonder; and wondering, he will reign; and reigning, he will rest. And what? Were not also those expressions of Thales derived from these? The fact that God is glorified for ever, and that He is expressly called by us the Searcher of hearts, he interprets. For Thales being asked, What is the divinity? said, What has neither beginning nor end. And on another asking, "If a man could elude the knowledge of the Divine Being while doing aught?" said, "How could he who cannot do so while thinking?"

(1) I do not know, O excellent Titus, whether the holy Timothy departed, deaf to some of the theological symbols which were explained by me. But, in the Symbolic Theology, we have thoroughly investigated for him all the expressions of the Oracles concerning God, which appear to the multitude to be monstrous. For they give a colour of incongruity dreadful to the uninitiated souls, when the Fathers of the unutterable wisdom explain the Divine and Mystical Truth, unapproachable by the profane, through certain, certainly hidden and daring enigmas. Wherefore also, the many discredit the expressions concerning the Divine Mysteries. For, we contemplate them only through the sensible symbols that have grown upon them. We must then strip them, and view them by themselves in their naked purity. For, thus contemplating them, we should reverence a fountain of Life flowing into Itself--viewing It even standing by Itself, and as a kind of single power, simple, self-moved, and self-worked, not abandoning Itself, but a knowledge surpassing every kind of knowledge, and always contemplating Itself, through Itself. We thought it necessary then, both for him and for others, that we should, as far as possible, unfold the varied forms of the Divine" representations of God in symbols. For, with what incredible and simulated monstrosities are its external, forms filled? For instance, with regard to the superessential Divine generation, representing a body of God corporally generating God; and describing a word flowing out into air from a man's heart, which eructates it, and a breath, breathed forth from a mouth; and celebrating God-bearing bosoms embracing a son of God, bodily; or representing these things after the manner of plants, and producing certain trees, and branches, and flowers and roots, as examples; or fountains of waters y, bubbling forth; or seductive light productions of reflected splendours; or certain other sacred representations which explain superessential descriptions of God; but with regard to the intelligible providences of Almighty God, either gifts, manifestations, or powers, or properties, or repose, or abidings, or progressions, or distinctions, or unions, clothing Almighty God in human form, and in the varied shape of wild beasts and other living creatures, and plants, and stones; and attributing to Him ornaments of women, or weapons of savages; and assigning working in clay, and in a furnace, as it were to a sort of artisan; and placing under Him, horses and chariots and thrones; and spreading before Him certain dainty meats delicately cooked; and representing Him as drinking, and drunken, and sleeping, and suffering from excess. What would any one say concerning the angers, the griefs, the various oaths, the repentances, the curses, the revenges, the manifold and dubious excuses for the failure of promises, the battle of giants in Genesis, during which He is said to scheme against those powerful and great men, and this when they were contriving the building, not with a view to injustice towards other people, but on behalf of their own safety? And that counsel devised in heaven to deceive and mislead Achab; and those mundane and meritricious passions of the Canticles; and all the other sacred compositions which appear in the description of God, which stick at nothing, as projections, and multiplications of hidden things, and divisions of things one and undivided, and formative and manifold forms of the shapeless and unformed; of which, if any one were able to see their inner hidden beauty, he will find every one of them mystical and Godlike, and filled with abundant theological light. For let us not think, that the appearances of the compositions have been formed for their own sake, but that they shield the science unutterable and invisible to the multitude, since things all-holy are not within the reach of the profane, but are manifested to those only who are genuine lovers of piety, who reject all childish fancy respecting the holy symbols, and are capable to pass with simplicity of mind, and aptitude of contemplative faculty, to the simple and supernatural and elevated truth of the symbols. Besides, we must also consider this, that the teaching, handed down by the Theologians is two-fold--one, secret and mystical--the other, open and better known--one, symbolical and initiative--the other, philosophic and demonstrative;--and the unspoken is intertwined with the spoken. The one persuades, and desiderates the truth of the things expressed, the other acts and implants in Almighty God, by instructions in mysteries not learnt by teaching. And certainly, neither our holy instructors, nor those of the law, abstain from the God-befitting symbols, throughout the celebrations of the most holy mysteries. Yea, we see even the most holy Angels, mystically advancing things Divine through enigmas; and Jesus Himself, speaking the word of God in parables, and transmitting the divinely wrought mysteries, through a typical spreading of a table. For, it was seemly, not only that the Holy of holies should be preserved undefiled by the multitude, but also that the Divine knowledge should illuminate the human life, which is at once indivisible and divisible, in a manner suitable to itself; and to limit the passionless part of the soul to the simple, and most inward visions of the most godlike images; but that its impassioned part should wait upon, and, at the same time, strive after, the most Divine coverings, through the pre-arranged representations of the typical symbols, as such (coverings) are, by nature, congenial to it. And all those who are hearers of a distinct theology without symbols, weave in themselves a sort of type, which conducts them to the conception of the aforesaid theology.

(3) "The Pythagoreans indeed go farther than this, and honour even numbers and geometrical diagrams with the names and titles of the gods. Thus they call the equilateral triangle head-born Minerva and Tritogenia, because it may be equally divided by three perpendiculars drawn from each of the angles. So the unit they term Apollo, as to the number two they have affixed the name of strife and audaciousness, and to that of three, justice. For, as doing an injury is an extreme on the one side, and suffering one is an extreme on the on the one side, and suffering in the middle between them. In like manner the number thirty-six, their Tetractys, or sacred Quaternion, being composed of the first four odd numbers added to the first four even ones, as is commonly reported, is looked upon by them as the most solemn oath they can take, and called Kosmos." (Isis and Osiris.)

(40) "In the third leaf, and in all the other writings that followed, to help his captive nation to pay their tributes unto the Roman emperors, and to do other things, which I will not speak of, he taught them in common words the transmutation of metals; he painted the vessels by the sides, and he advertised them of the colors, and of all the rest, saving of the first agent, of the which he spake not a word, but only (as he said) in the fourth and fifth leaves entire he painted it, and figured it with very great cunning and workman ship: for although it was well and intelligibly figured and painted, yet no man could ever have been able to understand it, without being well skilled in their Cabala, which goeth by tradition, and without having well studied their books.

(3) "When to the gods you sacrifice, Selecting what our portion is, 'Tis shame to tell, do ye not take, And both the thighs, clean to the groins, The loins quite bare, the backbone, too, Clean scrape as with a file, Them swallow, and the remnant give To us as if to dogs? And then, As if of one another 'shamed, With heaps of salted barley hide."

(136) While he divided the flesh of the ..., and devised a cunning plan

(33) The Turbæ Philosophorum is one of the earliest known documents on alchemy in the Latin tongue. Its exact origin is unknown. It is sometimes referred to as The Third Pythagorical Synod. As its name implies, it is an assembly of the sages and sets forth the alchemical viewpoints of many of the early Greek philosophers. The symbol reproduced above is from a rare edition of the Turbæ Philosophorum published in Germany in 1750, and represents by a hermaphroditic figure the accomplishment of the magnum opus. The active and passive principles of Nature were often depicted by male and female figures, and when these two principle, were harmoniously conjoined in any one nature or body it was customary to symbolize this state of perfect equilibrium by the composite figure above shown.

(243) 248 To say: Two t-sceptres and two t-sceptres are for both dm`cords, (to say) twice, as bread which is withheld from thee. 248 Art thou then really here, art thou then really there? O slave, go away. 7. THE DECEASED KING ARRIVES IN HEAVEN WHERE HE IS ESTABLISHED,

(3) No feathers had they, but as of a bat Their fashion was; and he was waving them, So that three winds proceeded forth therefrom. Thereby Cocytus wholly was congealed. With six eyes did he weep, and down three chins Trickled the tear-drops and the bloody drivel. At every mouth he with his teeth was crunching A sinner, in the manner of a brake, So that he three of them tormented thus. To him in front the biting was as naught Unto the clawing, for sometimes the spine Utterly stripped of all the skin remained. "That soul up there which has the greatest pain," The Master said, "is Judas Iscariot; With head inside, he plies his legs without. Of the two others, who head downward are, The one who hangs from the black jowl is Brutus; See how he writhes himself, and speaks no word. And the other, who so stalwart seems, is Cassius. But night is reascending, and 'tis time That we depart, for we have seen the whole." As seemed him good, I clasped him round the neck, And he the vantage seized of time and place, And when the wings were opened wide apart,

(112) The tetrad--4--was esteemed by the Pythagoreans as the primogenial number, the root of all things, the fountain of Nature and the most perfect number. All tetrads are intellectual; they have an emergent order and encircle the world as the Empyreum passes through it. Why the Pythagoreans expressed God as a tetrad is explained in a sacred discourse ascribed to Pythagoras, wherein God is called the Number of Numbers. This is because the decad, or 10, is composed of 1, 2, 3, and 4. The number 4 is symbolic of God because it is symbolic of the first four numbers. Moreover, the tetrad is the center of the week, being halfway between 1 and 7. The tetrad is also the first geometric solid.

(2) And wouldst thou think how at each tremulous motion Trembles within a mirror your own image; That which seems hard would mellow seem to thee. But that thou mayst content thee in thy wish Lo Statius here; and him I call and pray He now will be the healer of thy wounds." "If I unfold to him the eternal vengeance," Responded Statius, "where thou present art, Be my excuse that I can naught deny thee." Then he began: "Son, if these words of mine Thy mind doth contemplate and doth receive, They'll be thy light unto the How thou sayest. The perfect blood, which never is drunk up Into the thirsty veins, and which remaineth Like food that from the table thou removest, Takes in the heart for all the human members Virtue informative, as being that Which to be changed to them goes through the veins Again digest, descends it where 'tis better Silent to be than say; and then drops thence Upon another's blood in natural vase. There one together with the other mingles, One to be passive meant, the other active By reason of the perfect place it springs from;