(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.

(8) Wherefore the wisest of the Egyptian priests decided that the temple of Athene should be hypaethral, just as the Hebrews constructed the temple without an image. And some, in worshipping God, make a representation of heaven containing the stars; and so worship, although Scripture says, "Let of Eurysus the Pythagorean, which is as follows, who in his book On Fortune, having said that the "Creator, on making man, took Himself as an exemplar," added, "And the body is like the other things, as being made of the same material, and fashioned by the best workman, who wrought it, taking Himself as the archetype." And, in fine, Pythagoras and his followers, with Plato also, and most of the other philosophers, were best acquainted with the Lawgiver, as may be concluded from their doctrine. And by a happy utterance of divination, not without divine help, concurring in certain prophetic declarations, and, seizing the truth in portions and aspects, in terms not obscure, and not going beyond the explanation of the things, they honoured it on as pertaining the appearance of relation with the truth. Whence the Hellenic philosophy is like the torch of wick which men kindle, artificially stealing the light from the sun. But on the proclamation of the Word all that holy light shone forth. Then in houses by night the stolen light is useful; but by day the fire blazes, and all the night is illuminated by such a sun of intellectual light.

(45) Timaeus: to serve as instruments of transport, so that grasping with these and' supported thereon it was enabled to travel through all places, bearing aloft the chamber of our most divine and holy part. In this wise and for these reasons were legs and hands attached to all men; and inasmuch as they demand the forepart superior to the hinder part in honor and dignity, the Gods gave us the most part of our going in this direction. Thus it was necessary that man should have the forepart of his body distinct and dissimilar. Wherefore, dealing first with the vessel of the head, they set the face in the front thereof

(2) And there are those who fashion ears and eyes of costly material, and consecrate them, dedicating them in the temples to the gods - by this plainly indicating that God sees and hears all things. Besides, the lion is with them the symbol of strength and prowess, as the ox clearly is of the earth itself, and husbandry and food, and the horse of fortitude and confidence; while, on the other hand, the sphinx, of strength combined with intelligence - as it had a body entirely that of a lion, and the face of a man. Similarly to these, to indicate intelligence, and memory, and power, and art, a man is sculptured in the temples. And in what is called among them the Komasiae of the gods, they carry about golden images - two dogs, one hawk, and one ibis; and the four figures of the images they call four letters. For the dogs are symbols of the two hemispheres, which, as it were, go round and keep watch; the hawk, of the sun, for it is fiery and destructive (so they attribute pestilential diseases to the sun); the ibis, of the moon, likening the shady parts to that which is dark in plumage, and the luminous to the light. And some will have it that by the dogs are meant the tropics, which guard and watch the sun's passage to the south and north. The hawk signifies the equinoctial line, which is high and parched with heat, as the ibis the ecliptic. For the ibis seems, above other animals, to have furnished to the Egyptians the first rudiments of the invention of number and measure, as the oblique line did of circles.

(6) First of all, idols are to be rejected. Such, then, being the case, the Greeks ought by the Law and the Prophets to learn to worship one God only, the only Sovereign; then to be taught by the apostle, "but to us an idol is no, thing in the world," since nothing among created things can be a likeness of God; and further, to be taught that none of those images which they worship can be similitudes: for the race of souls is not in form such as the Greeks fashion their idols. For souls are invisible; not only those that are rational, but those also of the other animals. And their bodies never become parts of the souls themselves, but organs - partly as seats, partly as vehicles - and in other cases possessions in various ways. But it is not possible to copy accurately even the likenesses of the organs; since, were it so, one might model the sun, as it is seen, and take the likeness of the rainbow in colours.

(9) O nobly-born, the size of all these deities is not large, not small, [but] proportionate. [They have] their ornaments, their colours, their sitting postures, their thrones, and the emblems that each holds.

(75) Timaeus: whether they should make a kind that was more long-lived and worse or more short-lived and better, they agreed that the shorter and superior life should by all means be chosen by all rather than the longer and inferior. Wherefore they covered the head closely with thin bone, but not with flesh and sinews, since it was also without flexions. For all these reasons, then, the head that was joined to the body in every man was more perceptive and more intelligent but less strong. It was on these grounds and in this way that God set the sinews at the bottom of the head

(4) [Sidenote A: Morphe pertains to the colour, figure, and magnitude of superficies.] the heroic, but at the same time are less than these. In addition also to these peculiarities, divine beauty, indeed, shines with an immense splendour as it were, fixes the spectators in astonishment, imparts a divine joy, presents itself to the view with ineffable symmetry, and is exempt from all other species of pulchritude. But the blessed spectacles of archangels have indeed themselves the greatest beauty, yet are not so ineffable and admirable as those of the Gods. Those of angels divide, in a partible manner, the beauty which they receive from archangels. But the dæmoniacal and heroical self-visive spirits, have both of them beauty in definite forms, yet the former is adorned in reasons which define the essence, and the latter exhibits fortitude. The phasmata of archons may be divided in a twofold respect. For some of them exhibit a beauty which is spontaneous, and of a ruling characteristic; but others, an elegance of form which is fictitious and renovated. And the phasmata of souls are, indeed, adorned in definite reasons, but these reasons are more divided than those in heroes, are partibly circumscribed, and are vanquished by one form. If, however, it be requisite to define all of them in common, I say that each participates of beauty according to its arrangement, the peculiar nature which it possesses, and its allotment.

(1) Why, therefore, does the maker of images, who effects these things, desert himself, though he is better than these images, and consists of things of a more excellent nature, and confide in inanimate idols, which are inspired with the representation alone of life, contain a renovated harmony, and which is externally multiform, and are in reality diurnal? Shall we say that something genuine and true is inherent in them? Nothing, however, which is fashioned by human art is genuine and pure. But you will say, that simplicity and uniformity of energy predominate in the whole of their composition. This is very far from being the case. For the idol, according to its visible composition, is mingled from all-various and contrary qualities. Shall we say then, that a certain pure and perfect power is manifest in them? By no means. For a thing of this kind possesses an adventitious multitude of effluxions, collected from many places, and which shows itself to be imbecile and evanescent. But if these particulars, which we have enumerated, are not found to take place in images, is stability present with them, as it is said to be [by the patrons of these images]? By no means, likewise, is this the case. For these idols are extinguished with much greater rapidity than the images which are seen in mirrors.

(77) Timaeus: they clave the veins round the head and interlaced them, and drew them opposite ways, bending those from the right of the head to the left and those from the left to the right, in order that they, together with the skin, might serve as a bond between the head and the body, seeing that the head was not encircled by sinews at the crown; and in order, also, that the sense-impressions derived from the parts on either side might be manifest to the whole body.

(1) Of his wisdom, however, the commentaries written by the Pythagoreans afford, in short, the greatest indication; for they adhere to truth in every thing, and are more concise than all other compositions, so that they savour of the ancient elegance of style, and the conclusions are exquisitely deduced with divine science. They are also replete with the most condensed conceptions, and are in other respects various and diversified both in the form and the matter. At one and the same time likewise, they are transcendently excellent, and without any deficiency in the diction, and are in an eminent degree full of clear and indubitable arguments, accompanied with scientific demonstration, and as it is said, the most perfect syllogism; as he will find to be the case, who, proceeding in such paths as are fit, does not negligently peruse them.

This science, therefore, concerning intelligible natures and the Gods, Pythagoras delivers in his writings from a supernal origin. Afterwards, he teaches the whole of physics, and unfolds completely ethical philosophy and logic. He likewise delivers all-various disciplines, and the most excellent sciences. And in short there is nothing pertaining to human knowledge which is not accurately discussed in these writings. If therefore it is acknowledged, that of the [Pythagoric] writings which are now in circulation, some were written by Pythagoras himself, but others consist of what he was heard to say, and on this account are anonymous, but are referred to Pythagoras as their author;—if this be the case, it is evident that he was abundantly skilled in all wisdom.

But it is said that he very much applied himself to geometry among the Egyptians. For with the Egyptians there are many geometrical problems; since it is necessary that from remote periods, and from the time of the Gods themselves, on account of the increments and decrements of the Nile, those that were skilful should have measured all the Egyptian land which they cultivated. Hence also geometry derived its name. Neither did they negligently investigate the theory of the celestial orbs, in which likewise Pythagoras was skilled. Moreover, all the theorems about lines appear to have been derived from thence. For it is said that what pertains to computation and numbers, was discovered in Phœnicia. For some persons refer the theorems about the celestial bodies to the Egyptians and Chaldeans in common.

It is said therefore, that Pythagoras having received and increased all these [theories,] imparted the sciences, and at the same time demonstrated them to his auditors with perspicuity and elegance. And he was the first indeed that denominated philosophy, and said that it was the desire, and as it were love of wisdom. But he defined wisdom to be the science of the truth which is in beings. And he said that beings are immaterial and eternal natures, and alone possess an efficacious power, such as incorporeal essences. But that the rest of things are only homonymously beings, and are so denominated through the participation of real beings, and such are corporeal and material forms, which are generated and corrupted, and never truly are.

And that wisdom is the science of things which are properly beings, but not of such as are homonymously so. For corporeal natures are neither the objects of science nor admit of a stable knowledge, since they are infinite and incomprehensible by science, and are as it were, non-beings, when compared with universals, and are incapable of being properly circumscribed by definition. It is impossible however to conceive that there should be science of things which are not naturally the objects of science. Hence it is not probable that there will be a desire of science which has no subsistence, but rather that desire will be extended to things which are properly beings, which exist with invariable permanency, and are always consubsistent with a true appellation.

For it happens that the perception of things which are homonymously beings, and which are never truly what they seem to be, follows the apprehension of real beings; just as the knowledge of particulars follows the science of universals. For he who knows universals properly, says Archytas, will also have a clear perception of the nature of particulars. Hence things which have an existence are not alone, nor only-begotten, nor simple, but they are seen to be various and multiform. For some of them are intelligible and incorporeal natures, and which are denominated beings; but others are corporeal and fall under the perception of sense, and by participation communicate with that which has a real existence. Concerning all these therefore, he delivered the most appropriate sciences, and left nothing [pertaining to them] uninvestigated.

He likewise unfolded to men those sciences which are common [ to all disciplines ,] as for instance the demonstrative, the definitive, and that which consists in dividing, as may be known from the Pythagoric commentaries. He was also accustomed to pour forth sentences resembling Oracles to his familiars in a symbolical manner, and which in the greatest brevity of words contained the most abundant and multifarious meaning, like the Pythian Apollo through certain oracles, or like nature herself through seeds small in bulk, the former exhibiting conceptions, and the latter effects, innumerable in multitude, and difficult to be understood. Of this kind is the sentence, The beginning is the half of the whole , which is an apothegm of Pythagoras himself.

But not only in the present hemistich, but in others of a similar nature, the most divine Pythagoras has concealed the sparks of truth; depositing as in a treasury for those who are capable of being enkindled by them, and with a certain brevity of diction, an extension of theory most ample and difficult to be comprehended, as in the following hemistich:

(1) The mode however of teaching through symbols, was considered by Pythagoras as most necessary. For this form of erudition was cultivated by nearly all the Greeks, as being most ancient. But it was transcendently honored by the Egyptians, and adopted by them in the most diversified manner. Conformably to this, therefore, it will be found, that great attention was paid to it by Pythagoras, if any one clearly unfolds the significations and arcane conceptions of the Pythagoric symbols, and thus developes the great rectitude and truth they contain, and liberates them from their enigmatic form. For they are adapted according to a simple and uniform doctrine, to the great geniuses of these philosophers, and deify in a manner which surpasses human conception.

For those who came from this school, and especially the most ancient Pythagoreans, and also those young men who were the disciples of Pythagoras when he was an old man, viz. Philolaus and Eurytus, Charondas and Zaleucus, and Brysson, the elder Archytas also, and Aristæus, Lysis and Empedocles, Zanolxis and Epimenides, Milo and Leucippus, Alcmæon, Hippasus and Thymaridas, and all of that age, consisting of a multitude of learned men, and who were above measure excellent,—all these adopted this mode of teaching, in their discourses with each other, and in their commentaries and annotations. Their writings also, and all the books which they published, most of which have been preserved even to our time , were not composed by them in a popular and vulgar diction, and in a manner usual with all other writers, so as to be immediately understood, but in such a way as not to be easily apprehended by those that read them.

For they adopted that taciturnity which was instituted by Pythagoras as a law, in concealing after an arcane mode, divine mysteries from the uninitiated, and obscuring their writings and conferences with each other. Hence he who selecting these symbols does not unfold their meaning by an apposite exposition, will cause those who may happen to meet with them to consider them as ridiculous and inane, and as full of nugacity and garrulity. When, however, they are unfolded in a way conformable to these symbols, and become obvious and clear even to the multitude, instead of being obscure and dark, then they will be found to be analogous to prophetic sayings, and to the oracles of the Pythian Apollo. They will then also exhibit an admirable meaning, and will produce a divine afflatus in those who unite intellect with erudition.

Nor will it be improper to mention a few of them, in order that this mode of discipline may become more perspicuous: Enter not into a temple negligently, nor in short adore carelessly, not even though you should stand at the very doors themselves . Sacrifice and adore unshod. Declining from the public ways, walk in unfrequented paths. Speak not about Pythagoric concerns without light. And such are the outlines of the mode adopted by Pythagoras of teaching through symbols.

(381) Then everything which is good, whether made by art or nature, or both, is least liable to suffer change from without? True. But surely God and the things of God are in every way perfect? Of course they are. Then he can hardly be compelled by external influence to take many shapes? He cannot. But may he not change and transform himself? Clearly, he said, that must be the case if he is changed at all. And will he then change himself for the better and fairer, or for the worse and more unsightly? If he change at all he can only change for the worse, for we cannot suppose him to be deficient either in virtue or beauty. Very true, Adeimantus; but then, would any one, whether God or man, desire to make himself worse? Impossible. Then it is impossible that God should ever be willing to change; being, as is supposed, the fairest and best that is conceivable, every God remains absolutely and for ever in his own form. That necessarily follows, he said, in my judgment. Then, I said, my dear friend, let none of the poets tell us that ‘The gods, taking the disguise of strangers from other lands, walk up and down cities in all sorts of forms 13 ;’ and let no one slander Proteus and Thetis, neither let any one, either in tragedy or in any other kind of poetry, introduce Here disguised in the likeness of a priestess asking an alms ‘For the life-giving daughters of Inachus the river of Argos;’

(7) Pythagoras likewise discovered another method of restraining men from injustice, through the judgment of souls, truly knowing indeed that this method may be taught, and also knowing that it is useful to the suppression of justice through fear. He asserted therefore, that it is much better to be injured than to kill a man; for that judgment is deposited in Hades, where the soul, and its essence, and the first nature of beings, are properly estimated. Being desirous, however, to exhibit in things unequal, without symmetry and infinite, a definite, equal, and commensurate justice, and to show how it ought to be exercised, he said, that justice resembles that figure, which is the only one among geometrical diagrams, that having indeed infinite compositions of figures, but dissimilarly disposed with reference to each other, yet has equal demonstrations of power.

Since also, there is a certain justice in making use of another person, such a mode of it as the following, is said to have been delivered by the Pythagoreans: Of associations with others, one kind is seasonable, but another is unseasonable. These likewise are distinguished from each other by difference of age, desert, the familiarity of alliance, and of beneficence, and whatever else there may be of the like kind in the different associations of men with each other. For there is a species of association, viz. of a younger with a younger person, which does not appear to be unseasonable; but that of a younger with an elderly person is unseasonable. For no species of anger, or threatening, or boldness, is becoming in a younger towards an elderly man, but all unseasonable conduct of this kind should be cautiously avoided.

A similar reasoning likewise should be adopted with respect to desert. For it is neither decorous, nor seasonable, to use an unrestrained freedom of speech, or to adopt any of the above-mentioned modes of conduct, towards a man who has arrived at the true dignity of consummate virtue. Conformably to this also, was what he said respecting the association with parents, and likewise with benefactors. He added, that there is a certain various and multiform use of an opportune time. For of those that are enraged and angry, some are so seasonably, but others unseasonably. And again, of those that aspire after, desire, and are impelled to any thing appetible, an opportune time is the attendant on some, and an unseasonable time on others.

And the same thing may be said concerning other passions and actions, dispositions, associations, and meetings. He farther observed, that an opportune time is to a certain extent , to be taught, and also, that what happens contrary to expectation, is capable of receiving an artificial discussion; but that when it is considered universally and simply, none of the above-mentioned particulars pertain to it. Nearly, however, such things are the attendants on it, as follow the nature of opportune time, viz. what is called the florid, the becoming, the adapted, and whatever else there may be homogeneous to these. He likewise asserted, that principle [or the beginning] is in the universe unity, and is the most honorable of things; and that in a similar manner it is so in science, in experience, and in generation.

And again, that the number two is most honorable in a house, in a city, in a camp, and in all such like systems. But that the nature of principle is difficult to be surveyed and apprehended in all the above-mentioned particulars. For in sciences, it is not the province of any casual understanding to learn and judge, by well surveying the parts of things, what the nature is of the principle of these. He added, that it makes a great difference, and that there is danger with respect to the knowledge of the whole of things, when principle is not rightly assumed. For none, in short, of the consequent conclusions can be sane, when the true principle is unknown.

The same thing may also be said respecting a principle of another kind. For neither can a house, or a city, be well instituted, unless each has a true ruler, who governs those that voluntarily submit to him. For it is necessary that in both these the governor should be willing to rule, and the governed to obey. Just as with respect to disciplines, when they are taught with proper effect, it is necessary that there should be a concurrence in the will both of the teacher and learner. For if there is a resistance on the part of either, the proposed work will never be accomplished in a proper manner. Thus therefore, he proved, that it was beautiful to be persuaded by rulers, and to be obedient to preceptors.

But he exhibited the following as the greatest argument through deeds, of the truth of his observations. He went from Italy to Delos, to Pherecydes the Syrian, who had been his preceptor, in order that he might afford him some assistance, as he was then afflicted with what is called the morbus pedicularis, and he carefully attended him to the time of his death, and piously performed whatever rites were due to his dead preceptor. So diligent was he in the discharge of his duties to him from whom he had received instruction.

(2) In the next place, therefore, association with men introduces justice; but alienation, and a contempt of the common genus, produce injustice. Wishing therefore to insert this familiarity from afar in men, he also ordained that his disciples should extend it to animals of the same genus, and commanded them to consider these as their familiars and friends; so as neither to injure, nor slay, nor eat any one of them. He therefore who associates men with animals, because they consist of the same elements as we do, and participate with us of a more common life, will in a much greater degree establish fellowship with those who partake of a soul of the same species, and also of a rational soul.

From this also it is evident that he introduced justice produced from the most proper principle. Since likewise the want of riches, sometimes compels many to do something contrary to justice, he well foresaw that this would be the case, and through economy procured for himself liberal expenses, and what was just in sufficient abundance. For again, a just arrangement of domestic concerns is the principle of all good order in cities. For cities are constituted from houses. It is said therefore, that Pythagoras himself was the heir of the property of Alcæus, who died after performing an embassy to the Lacedæmonians, but that notwithstanding this, he was no less admired for his economy than for his philosophy. When also he was married, he so educated the daughter that was born to him, and who was afterwards married to Meno the Crotonian, that when she was a virgin she was the leader of choirs, but when a wife she held the first place among those that approached to altars. It is likewise said, that the Metapontines preserving the remembrance of Pythagoras after his time, made his house a temple of Ceres, but the street in which he lived a museum.

(3) After these things, therefore, we shall define the reasons of the self-apparent statues [or images]. Hence, in the forms of the Gods which are seen by the eyes, the most clear spectacles of truth itself are perceived, which are also accurately splendid, and shine forth with an evolved light. The images of archangels present themselves to the view true and perfect; but those of angels preserve, indeed, the same form, but fail in plenitude of indication. The images of dæmons are obscure; and those of heroes are seen to be still inferior to these. With respect, also, to archons, the images of such as are mundane, are clear; but of such as are material, obscure. Both, however, are seen to be of an authoritative nature. And the images of souls appear to be of a shadowy form.

(1) It is also said, that Pythagoras was the first who called himself a philosopher; this not being a new name, but previously instructing us in a useful manner in a thing appropriate to the name. For he said that the entrance of men into the present life, resembled the progression of a crowd to some public spectacle. For there men of every description assemble with different views; one hastening to sell his wares for the sake of money and gain; but another that he may acquire renown by exhibiting the strength of his body; and there is also a third class of men, and those the most liberal, who assemble for the sake of surveying the places, the beautiful works of art, the specimens of valor, and the literary productions which are usually exhibited on such occasions.

Thus also in the present life, men of all-various pursuits are collected together in one and the same place. For some are influenced by the desire of riches and luxury; others by the love of power and dominion; and others are possessed with an insane ambition for glory. But the most pure and unadulterated character, is that of the man who gives himself to the contemplation of the most beautiful things, and whom it is proper to call a philosopher. He adds, that the survey of all heaven, and of the stars that revolve in it, is indeed beautiful, when the order of them is considered. For they derive this beauty and order by the participation of the first and the intelligible essence.

But that first essence is the nature of number and reasons [i. e. productive principles,] which pervades through all things, and according to which all these [celestial bodies] are elegantly arranged, and fitly adorned. And wisdom indeed, truly so called, is a certain science which is conversant with the first beautiful objects, and these divine, undecaying, and possessing an invariable sameness of subsistence; by the participation of which other things also may be called beautiful. But philosophy is the appetition of a thing of this kind. The attention therefore to erudition is likewise beautiful, which Pythagoras extended, in order to effect the correction of mankind.

(5) Wishing to express Sun in writing, they make a circle; and Moon, a figure like the Moon, like its proper shape. But in using the figurative style, by transposing and transferring, by changing and by transforming in many ways as suits them, they draw characters. In relating the praises of the kings in theological myths, they write in anaglyphs. Let the following stand as a specimen of the third species - the Enigmatic. For the rest of the stars, on account of their oblique course, they have figured like the bodies of serpents; but the sun, like that of a beetle, because it makes a round figure of ox-dung, and rolls it before its face. And they say that this creature lives six months under ground, and the other division of the year above ground, and emits its seed into the ball, and brings forth; and that there is not a female beetle. All then, in a word, who have spoken of divine things, both Barbarians and Greeks, have veiled the first principles of things, and delivered the truth in enigmas, and symbols, and allegories, and metaphors, and such like tropes. Such also are the oracles among the Greeks. And the Pythian Apollo is called Loxias. Also the maxims of those among the Greeks called wise men, in a few sayings indicate the unfolding of matter of considerable importance. Such certainly is that maxim, "Spare Time:" either because life is short, and we ought not to expend this time in vain; or, on the other hand, it bids you spare your personal expenses; so that, though you live many years, necessaries may not fail you. Similarly also the maxim "Know thyself" shows many things; both that thou art mortal, and that thou wast born a human being; and also that, in comparison with the other excellences of life, thou art of no account, because thou sayest that thou art rich or renowned; or, on the other hand, that, being rich or renowned, you are not honoured on account of your advantages alone. And it says, Know for what thou wert born, and whose image thou art; and what is thy essence, and what thy creation, and what thy relation to God, and the like. And the Spirit says by Isaiah the prophet, "I will give thee treasures, hidden, dark." Now wisdom, hard to hunt, is the treasures of God and unfailing riches. But those, taught in theology by those prophets, the poets, philosophize much by way of a hidden sense. I mean Orpheus, Linus, Musaeus, Homer, and Hesiod, and those in this fashion wise. The persuasive style of poetry is for them a veil for the many.

(87) Timaeus: virtue and vice, there is no symmetry or want of symmetry greater than that which exists between the soul itself and the body itself. But as regards these, we wholly fail to perceive or reflect that, whenever a weaker and inferior type of body is the vehicle of a soul that is strong and in all ways great,—or conversely, when each of these two is of the opposite kind,—then the creature as a whole is not fair, seeing that it is unsymmetrical in respect of the greatest of symmetries; whereas a creature in the opposite condition is of all sights, for him who has eyes to see,

(1) On his return to Samos, however, being known by some of the more aged inhabitants, he was not less admired than before. For he appeared to them to be more beautiful and wise, and to possess a divine gracefulness in a more eminent degree. Hence, he was publicly called upon by his country to benefit all men, by imparting to them what he knew. Nor was he averse to this request, but endeavoured to introduce the symbolical mode of teaching, in a way perfectly similar to the documents by which he had been instructed in Egypt; though the Samians did not very much admit this mode of tuition, and did not adhere to him with that according aptitude which was requisite.

Though no one therefore attended to him, and no one was genuinely desirous of those disciplines which he endeavoured by all means to introduce among the Greeks, yet he neither despised nor neglected Samos, because it was his country, and therefore wished to give his fellow-citizens a taste of the sweetness of the mathematical disciplines, though they were unwilling to be instructed in them. With a view to this, therefore, he employed the following method and artifice. Happening to observe a certain youth, who was a great lover of gymnastic and other corporeal exercises, but otherwise poor and in difficult circumstances, playing at ball in the Gymnasium with great aptness and facility, he thought the young man might easily be persuaded to attend to him, if he was sufficiently supplied with the necessaries of life, and freed from the care of procuring them.

As soon as the youth, therefore, left the bath, Pythagoras called him to him, and promised that he would furnish him with every thing requisite to the support of his bodily exercise, on condition that he would receive from him gradually and easily, but continually, so that he might not be burthened by receiving them at once, certain disciplines, which he said he had learnt from the Barbarians in his youth, but which now began to desert him through forgetfulness and the incursions of old age. But the young man immediately acceded to the conditions, through the hope of having necessary support. Pythagoras, therefore, endeavoured to instruct him in the disciplines of arithmetic and geometry, forming each of his demonstrations in an abacus, and giving the youth three oboli as a reward for every figure which he learnt.

This also he continued to do for a long time, exciting him to the geometrical theory by the desire of honour; diligently, and in the best order, giving him (as we have said) three oboli for every figure which he apprehended. But when the wise man observed that the elegance, sweetness, and connexion of these disciplines, to which the youth had been led in a certain orderly path, had so captivated him that he would not neglect their pursuit though he should suffer the extremity of want, he pretended poverty, and an inability of giving him three oboli any longer. But the youth on hearing this replied, “I am able without these to learn and receive your disciplines.” Pythagoras then said, “But I have not the means of procuring sufficient nutriment for myself.” As it is requisite, therefore, to labour in order to procure daily necessaries and mortal food, it would not be proper that his attention should be distracted by the abacus, and by stupid and vain pursuits.

The youth, however, vehemently abhorring the thought of discontinuing his studies, replied: “I will in future provide for you, and repay your kindness in a way resembling that of the stork: for I in my turn will give you three oboli for every figure.” And from this time he was so captivated by these disciplines, that he alone, of all the Samians, migrated from his country with Pythagoras, having the same name with him, but being the son of Eratocles. There are said to be three books of this Samian On Athletics, in which he orders the Athletæ to feed on flesh instead of dry figs; which books are very improperly ascribed by some to Pythagoras the son of Mnesarchus.

It is likewise said, that about the same time Pythagoras was admired at Delos, when he approached to the bloodless altar, as it is called, of the father Apollo, and worshipped it. After which he went to all the oracles. He likewise dwelt for some time in Crete and Sparta, for the purpose of becoming acquainted with their laws; and, having been an auditor and learner of all these, he returned home in order to investigate what he had omitted. And in the first place, indeed, he established a school in the city, which is even now called the semicircle of Pythagoras; and in which the Samians now consult about public affairs, conceiving it right to investigate things just and advantageous in that place which he had constructed who paid attention to the welfare of all men.

He also formed a cavern out of the city, adapted to his philosophy, in which he spent the greatest part both of the day and night; employing himself in the investigation of things useful in disciplines, framing intellectual conceptions after the same manner as Minos the son of Jupiter. Indeed, he so much surpassed those who afterwards employed his disciplines, that they conceived magnificently of themselves, from the knowledge of theorems of small importance; but Pythagoras gave completion to the science of the celestial orbs, and unfolded the whole of it by arithmetical and geometrical demonstrations. He is, however, to be admired in a still greater degree for what he afterwards accomplished. For when now philosophy had received a great accession, he was admired by all Greece, and the best of those who philosophized came to Samos on his account, in order that they might participate of his erudition.

The citizens likewise employed him in all their embassies, and compelled him to unite with them in the administration of public affairs. However, as he easily saw the difficulty of complying with the laws of his country, and at the same time remaining at home and philosophizing, and considered that all philosophers before him had passed their life in foreign countries, he determined to neglect all political occupations; induced to this, according to the testimony of others, by the negligence of the Samians in what relates to education, and went into Italy, conceiving that place to be his proper country, in which men well disposed towards learning were to be found in the greatest abundance. And such was the success of his journey, that on his arrival at Crotona, which was the noblest city in Italy, he had many followers, amounting, as it is said, to the number of six hundred, who were not only excited by his discourses to the study of philosophy, but also to an amicable division of the goods of life in common; from whence they acquired the appellation of Cœnobitæ .