(1) There were, however, certain persons who were hostile to these men, and rose against them. That stratagems therefore were employed to destroy them, during the absence of Pythagoras, is universally acknowledged; but those that have written on this subject, differ in their account of the journey which he then undertook. For some say that he went to Pherecydes the Syrian, but others to Metapontum. Many causes, however, of the stratagems are enumerated. And one of them, which is said to have originated from the men called Cylonians, was as follows: Cylon the Crotonian held the first place among the citizens for birth, renown, and wealth; but otherwise, he was a severe, violent, and turbulent man, and of tyrannical manners. He had, however, the greatest desire of being made a partaker of the Pythagoric life, and having applied himself to Pythagoras, who was now an elderly man, for this purpose, was rejected by him on account of the above-mentioned causes.

In consequence of this, therefore, he and his friends exercised violent hostilities against Pythagoras and his disciples. So vehement likewise and immoderate was the ambition of Cylon, and of those who arranged themselves on his side, that it extended itself to the very last of the Pythagoreans. Pythagoras, therefore, for this cause went to Metapontum, and there is said to have terminated his life. But those who were called the Cylonians continued to form stratagems against the Pythagoreans, and to exhibit indications of all possible malevolence. Nevertheless, for a certain time the probity of the Pythagoreans subdued [this enmity,] and also the decision of the cities themselves, so that they were willing that their political concerns should be managed by the Pythagoreans [alone].

At length, however, the Cylonians became so hostile to the men, that setting fire to the house of Milo in which the Pythagoreans were seated, and were consulting about warlike concerns; they burnt all the men except two, Archippus and Lysis. For these being in perfect vigour, and most robust, escaped out of the house. But this taking place, and no mention being made by the multitude of the calamity which had happened, the Pythagoreans ceased to pay any further attention to the affairs of government. This however happened through two causes, through the negligence of the cities (for they were not at all affected by so great a calamity taking place) and through the loss of those men who were most qualified to govern.

But of the two Pythagoreans that were saved, and both of whom were Tarentines, Archippus indeed returned to Tarentum; but Lysis hating the negligence [of the cities] went into Greece, and dwelt in the Achaia of Peloponnesus. Afterwards, he migrated to Thebes, being stimulated by a certain ardent desire [of retreating thither]; and there he had for his auditor Epaminondas who called Lysis his father . There also Lysis terminated his life. But the rest of the Pythagoreans, except Archytas of Tarentum, departed from Italy, and being collected together in Rhegium, there dwelt with each other. The most celebrated of them, however, were Phanto, Echecrates, Polymnastus, and Diocles, who were Phlyasians; and Xenophilus Chalcidensis of Thrace. But in the course of time, when the administration of public affairs proceeded into a worse condition, these Pythagoreans nevertheless preserved their pristine manners and disciplines, though the sect began to fail, till it generously perished. These things, therefore, are narrated by Aristoxenus.

(2) Nicomachus, however, in other respects accords with Aristoxenus, but as to the journey of Pythagoras, he says that this stratagem took place, while Pythagoras was at Delos. For he went there, in order to give assistance to his preceptor Pherecydes the Syrian who was then afflicted with the morbus pedicularis, and when he died, performed the necessary funeral rites. Then, therefore, those who had been rejected by the Pythagoreans, and to whom monuments had been raised, as if they were dead, attacked them, and committed all of them to the flames. Afterwards, they were overwhelmed by the Italians with stones, and thrown out of the house unburied. At that time, therefore, it happened that science failed together with those who possessed scientific knowledge, because till that period, it was preserved by them in their breasts as something arcane and ineffable.

But such things only as were difficult to be understood, and which were not unfolded, were preserved in the memory of those who did not belong to the Pythagorean sect; a few things excepted, which certain Pythagoreans, who happened at that time to be in foreign lands, preserved as certain sparks of science very obscure and of difficult investigation. These also, being left by themselves, and not moderately dejected by the calamity, were scattered in different places, and no longer endured to have any communion with the rest of mankind. But they lived alone in solitary places, wherever they happened to meet with them; and each greatly preferred an association with himself to that with any other person.

(4) Since, however, Apollonius dissents in a certain place respecting these particulars, and adds many things which we have not mentioned, we shall also insert his narration of the stratagem employed against the Pythagoreans. He says, therefore, that the envy of others attended Pythagoras from his childhood. For as long as he conversed with all that came to him, he was pleasing to them; but when he associated with his disciples alone, the favourable opinion which the multitude entertained of him was diminished. And they permitted him indeed, to pay more attention to strangers than to themselves; but they were indignant at his preferring some of their fellow-citizens before others, and they apprehended that his disciples assembled together with intentions hostile to them. In the next place, as the young men that were indignant with him were of high rank, and surpassed others in wealth, and when they arrived at a proper age, not only held the first honors in their own families, but also managed the affairs of the city in common, they formed a large body of men (for they were more than three hundred in number) and in consequence of this there was but a small part of the city, which was not conversant with the same manners and the same pursuits as they were.

(9) The kindred of the Pythagoreans however, were indignant that the Pythagoreans gave their right hand to those of their own sect alone, their parents excepted; and that they shared their possessions with each other in common, but excluded their relations from this fellowship, as if they were strangers. These, therefore, becoming the sources of the dissension, the rest readily fell into hostility against the Pythagoreans. Hippasus, also, Diodorus and Theages said at the same time, that every citizen ought to be a partaker of the magistracy and the assembly, and that the rulers should give an account of their conduct, to those who were elected by lot for this purpose from the multitude. But the Pythagoreans, Alcimachus, Dimachus, Meton and Democedes opposed this, and persevered in prohibiting the dissolution of the polity derived from their ancestors.

Those however, who patronized the multitude, subdued the other party. The multitude therefore, being assembled together, Cylon and Ninon who were rhetoricians accused the Pythagoreans. And of these, one belonged to the class of the rich, but the other was a plebeian. They also divided their harangues between themselves. But of these harangues, the longer being delivered by Cylon, Ninon concluded, pretending that he had explored the arcana of the Pythagoreans, and that he had connected and committed to writing such particulars as were especially calculated to criminate the Pythagoreans, and giving a book to ascribe, he ordered him to read it. But the book was inscribed the Sacred Discourse . And the following is a specimen of what it contained: Friends are to be venerated in the same manner as the Gods; but others are to be treated as brutes. This very sentence also is ascribed to Pythagoras by his disciples, and is by them expressed in verse as follows:

(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 .

(4) He performed however what is still more generous than this, by effecting the dissolution of tyranny, restraining the tyrant when he was about to bring the most deplorable calamities on mankind, and liberating Sicily from the most cruel and imperious power. But that it was Pythagoras who accomplished this, is evident from the oracles of Apollo, in which it is predicted that the domination of Phalaris would then be dissolved, when those that were governed by him should become better men, and be more concordant with each other; such as they then became, when Pythagoras was present with them, through the doctrines and instruction which he imparted to them. A greater proof however of the truth of this, is derived from the time in which it happened.

For on the very same day in which Phalaris put Pythagoras and Abaris in danger of death, he himself was slain by stratagem. That also which happened to Epimenides may be an argument of the truth of these things. For as he, who was the disciple of Pythagoras, when certain persons intended to destroy him, invoked the Furies, and the avenging Gods, and by so doing caused all those that attempted his life, to destroy each other;—thus also Pythagoras, who gave assistance to mankind, after the manner and with the fortitude of Hercules, for the benefit of men, punished and occasioned the death of him who had acted in an insolent and disorderly manner towards others; and this through the oracles themselves of Apollo, to the series of which divinity both he and Epimenides spontaneously belonged from their very birth. And thus far, indeed, we have thought it requisite to mention this admirable and strenuous deed, the effect of his fortitude.

(2) The temperance also of those men, and how Pythagoras taught this virtue, may be learnt from what Hippobotus and Neanthes narrate of Myllias and Timycha who were Pythagoreans. For they say that Dionysius the tyrant could not obtain the friendship of any one of the Pythagoreans, though he did every thing to accomplish his purpose; for they had observed, and carefully avoided his monarchical disposition. He sent therefore to the Pythagoreans, a troop of thirty soldiers, under the command of Eurymenes the Syracusan, who was the brother of Dion, in order that by treachery their accustomed migration from Tarentum to Metapontum, might be opportunely effected for his purpose. For it was usual with them to change their abode at different seasons of the year, and they chose such places as were adapted to this migration.

In Phalæ therefore, a craggy part of Tarentum, through which the Pythagoreans must necessarily pass in their journey, Eurymenes insidiously concealed his troop, and when the Pythagoreans, expecting no such thing, came to that place about the middle of the day, the soldiers rushed upon them with shouts, after the manner of robbers. But the Pythagoreans being disturbed and terrified at an attack so unexpected, and at the superior number of their enemies (for the whole number of the Pythagoreans was but ten), and considering also that they must be taken captive, as they were without arms, and had to contend with men who were variously armed,—they found that their only safety was in flight, and they did not conceive that this was foreign to virtue.

For they knew that fortitude, according to the decision of right reason, is the science of things which are to be avoided and endured. And this they now obtained. For those who were with Eurymenes, being heavy-armed, would have abandoned the pursuit of the Pythagoreans, if the latter in their flight had not arrived at a certain field sown with beans, and which were in a sufficiently florishing condition. Not being willing therefore to violate the dogma which ordered them not to touch beans, they stood still, and from necessity attacked their pursuers with stones and sticks, and whatever else they happened to meet with, till they had slain some, and wounded many of them. All the Pythagoreans however, were at length slain by the spearmen, nor would any one of them suffer himself to be taken captive, but preferred death to this, conformably to the mandates of their sect.

(6) These men also thought it right to adhere to the customs and legal institutes of their ancestors, even though they should be somewhat inferior to other customs and laws. For to fly from the existing laws, and to be studious of innovation, is by no means profitable and salutary. Pythagoras therefore gave many other specimens of piety to the Gods, evincing that his life was conformable to his doctrines. Nor will it be foreign to the purpose to mention one of them, which may serve to elucidate the rest. But I will relate what Pythagoras said and did relative to the embassy from Sybaris to Crotona, about demanding the return of the exiles. For some of his associates were slain by order of the ambassadors, one of whom slew a part of them with his own hands; but another was the son of one of those who had excited the sedition, and who died through disease.

When the Crotonians therefore were deliberating how they should act in this affair, Pythagoras said to his disciples, that he was not willing the Crotonians should be so greatly discordant in this affair, and that in his opinion, the ambassadors should not even lead victims to the altars, much less ought they to drag suppliants [i. e. the exiles] from them. But when the Sybarites came to him with their complaints, and the man who had slain some of his associates with his own hands, was defending his conduct, Pythagoras said, that he should not answer [an homicide]. Hence, some persons accused him of asserting that he was Apollo, because prior to this some one having asked him about a certain object of inquiry, why the thing was so; he in his turn asked the interrogator, if he would think fit to inquire of Apollo when he was delivering oracles to him, why he delivered them?

But to another of the ambassadors who appeared to him to deride his school, in which he taught the return of souls to the supernal realms, and who said that he would give him an epistle to his father, as he was about to descend into Hades, and exhorted him to bring another letter in answer, from his father, when he returned; Pythagoras replied, that he was not about to descend into the abode of the impious, where he clearly knew that murderers were punished. But the ambassadors reviling him, he proceeded to the sea, many persons following him, and there sprinkled himself with marine water. Some one however of the Crotonian counsellors, after reviling the rest of the ambassadors, observed that he understood they had defamed Pythagoras, whom not even a brute would dare to blaspheme, though all animals should again utter the same voice as men, which fables report they did in the beginning of things.

(1) And these indeed were such as philosophized. But the greatest part of his disciples consisted of auditors whom they call Acusmatici , who on his first arrival in Italy, according to Nicomachus, being captivated by one popular oration alone, exceeded two thousand in number. These, with their wives and children, being collected into one very large and common auditory, called Homacoïon, and which for its magnitude resembled a city, founded a place which was universally called Magna Græcia. This great multitude of people likewise, receiving laws and mandates from Pythagoras as so many divine precepts, and without which they engaged in no occupation, dwelt together with the greatest general concord, celebrated and ranked by their neighbours among the number of the blessed.

At the same time, as we have already observed, they shared their possessions in common. Such also was their reverence for Pythagoras, that they numbered him with the Gods, as a certain beneficent and most philanthropic dæmon. And some indeed celebrated him as the Pythian, but others as the Hyperborean Apollo. Some again considered him as Pæon, but others as one of the dæmons that inhabit the moon; and others celebrated him as one of the Olympian Gods, who, in order to benefit and correct the mortal life, appeared to the men of those times in a human form, in order that he might extend to them the salutary light of felicity and philosophy. And indeed a greater good never came, nor ever will come to mankind, than that which was imparted by the Gods through this Pythagoras.

Hence, even now the proverb of the long-haired Samian , is applied to the most venerable man. But Aristotle relates, in his Treatise On the Pythagoric Philosophy, that such a division as the following was preserved by the Pythagoreans among their principal arcana; viz. that of rational animals one kind is a God, another man, and another such as Pythagoras. And indeed they very reasonably apprehended him to be a being of this kind, through whom a right conception and conformable to things themselves was introduced of Gods, heroes, and dæmons; of the world, the all-various motion of the spheres and stars, their oppositions, eclipses, and inequalities, their eccentricities and epicycles; of all the natures contained in the heavens and the earth, together with those that have an intermediate subsistence, whether apparent or occult.

Nor was there anything (in all this variety of information) at all contrary to the phenomena, or the conceptions of intellect. To which we may add, that all such disciplines, theories, and scientific investigations, as truly invigorate the eye of the soul, and purify the intellect from the blindness introduced by studies of a different kind, so as to enable it to perceive the true principles and causes of the universe, were unfolded by Pythagoras to the Greeks. But besides all this, the best polity, popular concord, community of possessions among friends, the worship of the gods, piety to the dead, legislation, erudition, silence, abstinence from animals, continence, temperance, sagacity, divinity, and in one word, whatever is anxiously sought after by the lovers of learning, was brought to light by Pythagoras. On all these accounts, therefore, as I have just now said, he was (every where) so transcendently admired.

(1) With respect to fortitude, however, many of the particulars which have been already related, appropriately pertain to it; such as the admirable deeds of Timycha, and of those Pythagoreans who chose to die rather than transgress the decisions of Pythagoras concerning beans, and other things conformable to such-like pursuits. Such also are the deeds which Pythagoras himself generously accomplished, when he travelled everywhere alone, and underwent immense labors and dangers, choosing to leave his country, and dwell among strangers. Likewise, when he dissolved tyrannies, gave an orderly arrangement to confused polities, and emancipated cities. When also he caused illegality to cease, and impeded the operations of insolent and tyrannical men; exhibiting himself a benignant leader to the just and mild, but expelling savage and licentious men from his association, and refusing even to give them an answer; gladly, indeed, giving assistance to the former, but with all his might resisting the latter.

Many instances therefore of these things might be adduced, and of upright actions frequently performed by him. But the greatest of all these, is what he said and did to Phalaris, with an invincible freedom of speech. For when he was detained in captivity by Phalaris, the most cruel of tyrants, a wise man of the Hyperborean race, whose name was Abaris, was his associate, who came to him for the sake of conversing with him, and asked him many questions, and especially such as were of a sacred nature, respecting statues and the most holy worship, the providence of the Gods, celestial and terrestrial natures, and many other things of a similar kind. But Pythagoras, being under the influence of divine inspiration, answered Abaris vehemently, and with all truth and persuasion, so as to convince those that heard him.

Then, however, Phalaris was inflamed with anger against Abaris, because he praised Pythagoras, and was ferociously disposed towards Pythagoras himself. He also dared to utter blasphemies against the Gods themselves, and such as he was accustomed to pour forth. But Abaris gave Pythagoras thanks for what he said; and after this, learnt from him that all things are suspended from and governed by the heavens; which he evinced to be the case from many other things, and also from the energy of sacred rites . And Abaris was so far from thinking that Pythagoras, who taught these things, was an enchanter, that he beyond measure admired him as if he had been a God. To these things, however, Phalaris replied by endeavouring to subvert divination, and openly denying the efficacy of the things which are performed in sacred rites.

But Abaris transferred the discourse from these particulars to such as are clearly apparent to all men; and endeavoured to persuade him that there is a divine providence, from those circumstances which transcend all human hope and power, whether they are immense wars, or incurable diseases, or the corruption of fruits, or the incursions of pestilence, or certain other things of the like kind, which are most difficult to be borne, and deplorable, arising from the beneficent energies of certain dæmoniacal and divine powers.

(4) I think also, it was said by the Pythagoreans, respecting those who teach for the sake of reward, that they show themselves to be worse than statuaries, or those artists who perform their work sitting. For these, when some one orders them to make a statue of Hermes, search for wood adapted to the reception of the proper form; but those pretend that they can readily produce the works of virtue from every nature. The Pythagoreans likewise said, that it is more necessary to pay attention to philosophy, than to parents and agriculture; for it is owing to the latter, indeed, that we live; but philosophers and preceptors are the causes of our living well, and becoming wise, in consequence of having discovered the right mode of discipline and instruction.

Nor did they think fit either to speak or write in such a way, that their conceptions might be obvious to any casual persons; but Pythagoras is said to have taught this in the first place to those that came to him, that, being purified from all incontinence, they should preserve in silence the doctrines they had heard. It is said, therefore, that he who first divulged the theory of commensurable and incommensurable quantities, to those who were unworthy to receive it, was so hated by the Pythagoreans that they not only expelled him from their common association, and from living with them, but also constructed a tomb for him, as one who had migrated from the human and passed into a another life.

Others also say, that the Divine Power was indignant with those who divulged the dogmas of Pythagoras: for that he perished in the sea, as an impious person, who rendered manifest the composition of the icostagonus ; viz. who delivered the method of inscribing in a sphere the dodecaedron, which is one of what are called the five solid figures. But according to others, this happened to him who unfolded the doctrine of irrational and incommensurable quantities. Moreover, all the Pythagoric discipline was symbolic, and resembled enigmas and riddles, consisting of apothegms, in consequence of imitating antiquity in its character; just as the truly divine and Pythian oracles appear to be in a certain respect difficult to be understood and explained, to those who carelessly receive the answers which they give. Such therefore, and so many are the indications respecting Pythagoras and the Pythagoreans, which may be collected from what is disseminated about them.

(11) Many years after this, when Dinarchus and his associates were slain in another battle, and Litagus also was dead, who had been the greatest leader of the seditious, a certain pity and repentance induced the citizens to recall those Pythagoreans that were left, from exile. For this purpose, they sent ambassadors from Achaia, and through them became amicable with the exiles, and consecrated their oaths at Delphi. But the Pythagoreans who returned from exile were about sixty in number, except those who were of a more advanced age, among which were some who applied themselves to medicine, and restored health to those that were sick by a certain diet; of which method of cure they were themselves the authors. It happened however, that those Pythagoreans who were saved, and who were particularly celebrated by the multitude, at that time in which it was said to the lawless, This is not the condition of things which was under Ninon ;—these same Pythagoreans having left the city in order to procure assistance against the Thurians who invaded the country, perished in battle, mutually defending each other.

But the city was so changed into a contrary opinion [of the Pythagoreans,] that besides the praise which it bestowed on them, it apprehended that it would gratify the Muses in a still greater degree, if it performed a public sacrifice in the temple of the Muses, which at the request of the Pythagoreans, they had before constructed in honor of those Goddesses, And thus much concerning the attack which was made on the Pythagoreans.

(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.

(3) Eurymenes therefore, and his soldiers, were beyond measure disturbed on finding that they should not be able to bring one of the Pythagoreans alive to Dionysius, though they were sent by him for this purpose alone. Hence, having piled earth on the slain, and buried them in that place in a common sepulchre, they turned their steps homeward. As they were returning, however, they happened to meet with Myllias the Crotonian, and his wife Timycha the Lacedæmonian, whom the other Pythagoreans had left behind, because Timycha being pregnant, was now in her sixth month, and on this account walked leisurely. These therefore, the soldiers gladly made captive, and led them to the tyrant, paying every attention to them, in order that they might be brought to him safe.

But the tyrant having learnt what had happened, was greatly dejected, and said to the two Pythagoreans, You shall obtain from me honors transcending all others in dignity, if you will consent to reign in conjunction with me. All his offers however being rejected by Myllias and Timycha; If then, said he, you will only teach me one thing, I will dismiss you with a sufficiently safe guard. Myllias therefore asking him what it was he wished to learn; Dionysius replied, It is this, why your companions chose rather to die, than to tread on beans? But Myllias immediately answered, My companions indeed submitted to death, in order that they might not tread upon beans, but I would rather tread on them, than tell you the cause of this.

Dionysius therefore, being astonished at this answer, ordered him to be forcibly taken away, but commanded Timycha to be tortured: for he thought, that as she was a woman, pregnant, and deprived of her husband, she would easily tell him what he wanted to know, through fear of the torments. The heroic woman, however, grinding her tongue with her teeth, bit it off, and spit it at the tyrant; evincing by this, that though her sex being vanquished by the torments might be compelled to disclose something which ought to be concealed in silence, yet the member subservient to the developement of it, should be entirely cut off. So much difficulty did they make in admitting foreign friendships, even though they should happen to be royal.

(5) Moreover, as long as the Crotonians continued in their own country, and Pythagoras dwelt with them, that form of government remained which had been established when the city was founded, but which was not pleasing to the people, and therefore induced them to seek an occasion of producing a change. When therefore Sybaris was captured, and the land taken in the war was not divided by lot, according to the desire of the multitude, their silent hatred of the Pythagoreans burst forth, and the populace separated themselves from them. But the leaders of this dissension were those that were most near to the Pythagoreans, both by alliance and familiarity. The cause however of the discord was this, that many of the actions of the Pythagoreans offended these leaders, as well as casual persons, because these actions had something peculiar in them when compared with those of others. But in the greatest of these actions they conceived that disgrace befel themselves alone.

(1) Many also of the political actions of his followers are [deservedly] praised. For it is reported that the Crotonians being once impelled to make sumptuous funerals and interments, some one of them said to the people, that he had heard Pythagoras when he was discoursing about divine natures observe, that the Olympian Gods attended to the dispositions of those that sacrificed, and not to the multitude of the sacrifices; but that, on the contrary, the terrestrial Gods, as being allotted the government of things less important, rejoiced in banquets and lamentations, and farther still, in continual libations, in delicacies, and in celebrating funerals with great expense. Whence, on account of his wish to receive, Pluto is called Hades. He suffers, therefore, those that slenderly honor him to remain for a longer time in the upper world; but he always draws down some one of those who are disposed to spend profusely in funeral solemnities, in order that he may obtain the honors which take place in commemoration of the dead.

In consequence of this advice, the Crotonians that heard it were of opinion, that if they conducted themselves moderately in misfortunes, they would preserve their own salvation; but that if they were immoderate in their expenses, they would all of them die prematurely. A certain person also having been made an arbitrator in an affair in which there was no witness, led each of the litigants to a certain monument, and said to one of them, the man who is buried in this monument was transcendently equitable; in consequence of which the other litigant prayed that the dead man might obtain much good; but the former said that the defunct was not at all better for the prayers of his opponent.

Pythagoras, therefore, condemned what the former litigant said, but asserted that he who praised the dead man for his worth, had done that which would be of no small importance in his claim to belief. At another time, in a cause of great moment, he decided that one of the two who had agreed to settle the affair by arbitration, should pay four talents, but that the other should receive two. Afterwards, he condemned the defendant to pay three talents; and thus he appeared to have given a talent to each of them. Two persons also had fraudulently deposited a garment with a woman who belonged to a court of justice, and told her she was not to give it to either of them unless both were present.

Some time after, for the purpose of circumvention, one of them received the common deposit, and said that it was with the consent of the other. But the other, who had not been present [when the garment was returned], acted the part of a sycophant, and related the compact that was made at the beginning, to the magistrates. A certain Pythagorean, however, taking up the affair said, that the woman had acted conformably to the compact, as both parties had been present. Two other persons also appeared to have a strong friendship for each other, but had fallen into a silent suspicion through a flatterer of one of them, who told him that his wife had been corrupted by the other.

It so happened however, that a Pythagorean came into a brazier’s shop, where he who conceived himself to be injured, was showing to the artist a sword which he had given him to sharpen, and was indignant with him because it was not sufficiently sharp. The Pythagorean, therefore, suspecting that the sword was intended to be used against him who was accused of adultery, said, This sword is sharper than all things except calumny. This being said, caused the man to consider with himself [what it was he intended to do], and not rashly to sin against his friend who was within, and who had been previously called [by him in order that he might kill him]. A zone also that had golden ornaments having fallen [at the feet] of a certain stranger in the temple of Esculapius, and the laws forbidding any one to take up that which had fallen on the ground, a Pythagorean advised the stranger, who was indignant at this prohibition, to take away the golden ornaments which had not fallen to the ground, but to leave the zone, because this was on the ground.

That circumstance, likewise, which by the ignorant is transferred to other places, is said to have happened in Crotona, viz. that during a public spectacle, some cranes flew over the theatre, and one of those who had sailed into the port, said to the person who sat near him, Do you see the witnesses? which being heard by a certain Pythagorean, he brought them into the court, consisting of a thousand magistrates, where being examined, it was found that they had thrown certain boys into the sea, and that they called the cranes who flew over the ship [at the time,] witnesses of the deed. When likewise certain persons who had recently become disciples of Pythagoras were at variance with each other, he who was the junior of the two came to the other and said to him, that there was no occasion to refer the affair to a third person, but that it rested with them to commit their anger to oblivion.

He, therefore, to whom these words were addressed, replied that he was very much pleased in other respects with what had been said, but that he was ashamed that, being the elder, he had not first said the same thing to the other [who was the junior]. We might here also narrate what is said of Phinthias and Damon, of Plato and Archytas, and likewise of Clinias and Prorus. Omitting, however, these [for the present], we shall mention what is related of Eubulus the Messenian, who when he was sailing homeward, and was taken captive by the Tyrrhenians, was recognized by Nausitheus a Tyrrhenian and also a Pythagorean, because he was one of the disciples of Pythagoras, and was taken by him from the pirates, and brought with great safety to Messena.

When the Carthaginians, also, were about to send more than five thousand soldiers into a desert island, Miltiades the Carthaginian, perceiving among them the Argive Possiden (both of them being Pythagoreans), went to him, and not manifesting what he intended to do, advised him to return to his native country, with all possible celerity, and having placed him in a ship that was then sailing near the shore, supplied him with what was necessary for his voyage, and thus saved the man from the dangers [to which he was exposed]. In short, he who should relate all that has taken place among the Pythagoreans in their associations with each other, would by the length of his narration exceed the proper quantity and the occasion of his treatise.

(1) The successor, however, of Pythagoras, is acknowledged by all men to have been Aristæus, the son of Damophon the Crotonian, who existing at the same time as Pythagoras, was seven ages prior to Plato. Aristæus likewise, was not only thought worthy to succeed Pythagoras in his school, but also to educate his children, and marry his wife Theano, because he was eminently skilled in the Pythagoric dogmas. For Pythagoras himself is said to have taught in his school, forty years wanting one, and to have lived nearly one hundred years. But Aristæus, when much advanced in years, relinquished the school; and after him Mnesarchus succeeded, who was the son of Pythagoras. Bulagoras succeeded Mnesarchus, in whose time it happened that the city of the Crotonians was plundered. Gartydas the Crotonian succeeded Bulagoras, on his return from a journey which he had undertaken prior to the war. Nevertheless on account of the calamity of his country, he suffered so much anxiety, as to die prematurely through grief. But it was the custom with the rest of the Pythagoreans, when they became very old, to liberate themselves from the body as from a prison.

(4) There was, however, a certain person named Hippomedon, an Ægean, a Pythagorean and one of the Acusmatici, who asserted that Pythagoras gave the reasons and demonstrations of all these precepts, but that in consequence of their being delivered to many, and these such as were of a more sluggish genius, the demonstrations were taken away, but the problems themselves were left. Those however of the Pythagoreans that are called Mathematici , acknowledge that these reasons and demonstrations were added by Pythagoras, and they say still more than this, and contend that their assertions are true, but affirm that the following circumstance was the cause of the dissimilitude. Pythagoras, say they, came from Ionia and Samos, during the tyranny of Polycrates, Italy being then in a florishing condition; and the first men in the city became his associates.

But, to the more elderly of these, and who were not at leisure [for philosophy], in consequence of being occupied by political affairs, the discourse of Pythagoras was not accompanied with a reasoning process, because it would have been difficult for them to apprehend his meaning through disciplines and demonstrations; and he conceived they would nevertheless be benefited by knowing what ought to be done, though they were destitute of the knowledge of the why : just as those who are under the care of physicians, obtain their health, though they do not hear the reason of every thing which is to be done to them. But with the younger part of his associates, and who were able both to act and learn,—with these he conversed through demonstration and disciplines.

These therefore are the assertions of the Mathematici, but the former, of the Acusmatici. With respect to Hippasus however especially, they assert that he was one of the Pythagoreans, but that in consequence of having divulged and described the method of forming a sphere from twelve pentagons, he perished in the sea, as an impious person, but obtained the renown of having made the discovery. In reality, however, this as well as every thing else pertaining to geometry, was the invention of that man ; for thus without mentioning his name, they denominate Pythagoras. But the Pythagoreans say, that geometry was divulged from the following circumstance: A certain Pythagorean happened to lose the wealth which he possessed; and in consequence of this misfortune, he was permitted to enrich himself from geometry.

But geometry was called by Pythagoras Historia . And thus much concerning the difference of each mode of philosophising, and the classes of the auditors of Pythagoras. For those who heard him either within or without the veil, and those who heard him accompanied with seeing, or without seeing him, and who are divided into interior and exterior auditors, were no other than these. And it is requisite to arrange under these, the political, economic and legislative Pythagoreans.

(6) It is farther related of the Pythagoreans, that they expelled from themselves lamentation, weeping, and every thing else of this kind; and that neither gain, nor desire, nor anger, nor ambition, nor any thing of a similar nature, became the cause of dissension among them; but that all the Pythagoreans were so disposed towards each other, as a worthy father is towards his offspring. This also is a beautiful circumstance, that they referred every thing to Pythagoras, and called it by his name, and that they did not ascribe to themselves the glory of their own inventions, except very rarely. For there are very few whose works are acknowledged to be their own. The accuracy too, with which they preserved their writings is admirable. For in so many ages, no one appears to have met with any of the commentaries of the Pythagoreans, prior to the time of Philolaus. But he first published those three celebrated books, which Dion the Syracusan is said to have bought, at the request of Plato, for a hundred mina. For Philolaus had fallen into a certain great and severe poverty; and from his alliance to the Pythagoreans, was a partaker of their writings.

(2) Moreover, some time after, Aresas Lucanus, being saved through certain strangers, undertook the management of the school; and to him came Diodorus Aspendius, who was received into the school, on account of the paucity of the Pythagoreans it contained. And in Heraclea, indeed, were Clinias and Philolaus; but at Metapontum, Theorides and Eurytus; and at Tarentum Archytas. It is also said that Epicharmus was one of the foreign auditors; but that he was not one of the school. Having however arrived at Syracuse, he abstained from philosophizing openly, on account of the tyranny of Hiero. But he inserted the conceptions of the men in metre, and published in comedies the occult dogmas of Pythagoras.