THE GREEK AGE OF REASON.

RISE OF SCIENCE.

The conquest of Persia by Alexander the Great is a most important event in European history. That adventurer, carrying out the intentions of his father Philip, commenced his attack with apparently very insignificant means, having, it is said, at the most, only thirty-four thousand infantry, four thousand cavalry, and seventy talents in money. The result of his expedition was the ruin of the Persian empire, and also the ruin of Greece. It was not without reason that his memory was cursed in his native country. Her life-blood was drained away by his successes. In view of the splendid fortunes to be made in Asia, Greece ceased to be the place for an enterprising man. To such an extent did military emigration go, that Greek recruits were settled all over the Persian empire; their number was sufficient to injure irreparably the country from which they had parted, but not sufficient to Hellenize the dense and antique populations among whom they had settled.

Not only was it thus by the drain of men that the Macedonian expedition was so dreadfully disastrous to Greece, the political consequences following those successful campaigns added to the baneful result. Alexander could not have more effectually ruined Athens had he treated her as he did Thebes, which he levelled with the ground, massacring six thousand of her citizens, and selling thirty thousand for slaves. The founding of Alexandria was the commercial end of Athens, the finishing stroke to her old colonial system. It might have been well for her had he stopped Injury to Athens from the founding of Alexandria. short in his projects with the downfall of Tyre, destroyed, not from any vindictive reasons, as is sometimes said, but because he discovered that that city was an essential part of the Persian system. It was never his intention that Athens should derive advantage from the annihilation of her Phoenician competitor; his object was effectually carried out by the building and prosperity of Alexandria.

Though the military celebrity of this great soldier may be diminished by the history of the last hundred years, which shows a uniform result of victory when European armies are brought in contact with Asiatic, even under the most extraordinary disadvantages, there cannot be denied to him a profound sagacity and statesmanship excelled by no other conqueror. Before he became intoxicated with success, and, unfortunately, too frequently intoxicated with wine, there was much that was noble in his character. He had been under the instruction of Aristotle for several years, and, on setting out on his expedition, took with him so many learned men as almost to justify the remark applied to it, that it was as much a scientific as a military undertaking. Among those who thus accompanied him was Callisthenes, a relative and pupil of Aristotle, destined for an evil end. Perhaps the assertion that Alexander furnished to his master 250,000l. and the services of several thousand men, for the purpose of obtaining and examining the specimens required in the composition of his work on the "History of Animals" may be an exaggeration, but there can be no doubt that in these transactions was the real beginning of that policy which soon led to the institution of the Museum at Origin of the influence of Aristotle through Alexander. Alexandria. The importance of this event, though hitherto little understood, admits of no exaggeration, so far as the intellectual progress of Europe is concerned. It gave to the works of Aristotle their wonderful duration; it imparted to them not only a Grecian celebrity, but led to their translation into Syriac by the Nestorians in the fifth century, and from Syriac by the Arabs into their tongue four hundred years later. They exercised a living influence over Christians and Mohammedans indifferently, from Spain to Mesopotamia.

If the letter quoted by Plutarch as having been written by Alexander to Aristotle be authentic, it not only shows how thoroughly the pupil had been indoctrinated into the wisdom of the master, but warns us how liable we are to be led astray in the exposition we are presently to give of the Aristotelian philosophy. There was then, as unfortunately there has been too often since, a private as well as a public doctrine. Alexander upbraids the philosopher for his indiscretion in revealing things that it was understood should be concealed. Aristotle defends himself by asserting that the desired concealment had not been broken. By many other incidents of a trifling kind the attachment of the conqueror to philosophy is indicated; thus Harpalus and Nearchus, the companions of his youth, were the agents employed in some of his scientific undertakings, the latter being engaged in sea explorations, doubtless having in the main a political object, yet full of interest to science. Had Alexander lived, Nearchus was to have repeated the circumnavigation of Africa. Harpalus, while governor of Babylon, was occupied in the attempt to exchange the vegetation of Europe and Asia; he intertransplanted the productions of Persia and Greece, succeeding, as is related, in his object of making all European plants that he tried, except the ivy, grow in Mesopotamia. The journey to the Caspian Sea, the expedition into the African deserts, indicate Alexander's personal taste for natural knowledge; nor is it without significance that, while on his death-bed, and, indeed, within a few days of his decease, he found consolation and amusement in having Nearchus by his side relating the story of his voyages. Nothing shows more strikingly how correct was his military perception than the intention he avowed of equipping a thousand ships for the conquest of Carthage, and thus securing his supremacy in the Mediterranean. Notwithstanding all this, there were many points of his character, and many His unbridled passions and iniquities. events of his life, worthy of the condemnation with which they have been visited; the drunken burning of Persepolis, the prisoners he slaughtered in honour of HephÆstion, the hanging of Callisthenes, were the results of intemperance and unbridled passion. Even so steady a mind as his was incapable of withstanding the influence of such enormous treasures as those he seized at Susa; the plunder of the Persian empire; the inconceivable luxury of Asiatic life; the uncontrolled power to which he attained. But he was not so imbecile as to believe himself the descendant of Jupiter Ammon; that was only an artifice he permitted for the sake of influencing those around him. We must not forget that he lived in an age when men looked for immaculate conceptions and celestial descents. These Asiatic ideas had made their way into Europe. The Athenians themselves were soon to be reconciled to the appointment of divine honours to such as Antigonus and Demetrius, adoring them as gods—saviour gods—and instituting sacrifices and priests for their worship.

Great as were the political results of the Macedonian expedition, they were equalled by the intellectual. The times were marked by the ushering in of a new philosophy. Greece had gone through her age of Credulity, her age of Inquiry, her age of Faith; she had entered on her age of Reason, and, had freedom of action been permitted to her, she would have given a decisive tone to the forthcoming civilization of Europe. As will be seen in the following pages, that great destiny did not await her. From her eccentric position at Alexandria she could not civilize Europe. In her old Its inability to accomplish the civilization of Europe. age, the power of Europe, concentrated in the Roman empire, overthrew her. There are very few histories of the past of more interest to modern times, and none, unfortunately, more misunderstood, than this Greek age of Reason manifested at Alexandria. It illustrates, in the most signal manner, that affairs control men more than men control affairs. The scientific associations of the Macedonian conqueror directly arose from the contemporaneous state of Greek philosophy in the act of reaching the close of its age of faith, and these influences ripened under the Macedonian captain who became King of Egypt. As it was, the learning of Alexandria, though diverted from its most appropriate and desirable direction by the operation of the Byzantine system, in the course of a few centuries acting forcibly upon it, was not without an influence on the future thought of Europe. Even at this day Europe will not bear to be fully told how great that influence has been.

The age of Reason, to which Aristotle is about to introduce us, stands in striking contrast to the preceding ages. It cannot escape the reader that what was done by the men of science in Alexandria resembles what is doing in our own times; their day was the foreshadowing of ours. And yet a long and dreary period of almost twenty centuries parts us from them. Politically, Aristotle, through his friendship with Alexander and the perpetuation of the Macedonian influence in Ptolemy, was the connecting link between the Greek age of Faith and that of Reason, as he was also philosophically by the nature of his doctrines. He offers us an easy passage from the speculative methods of Plato to the scientific methods of Archimedes and Euclid. The copiousness of his doctrines, and the obscurity of many of them, might, perhaps, discourage a superficial student, unless he steadily bears in mind the singular authority they maintained for so many ages, and the brilliant results in all the exact parts of human knowledge to which they so quickly led. The history of Aristotle and his philosophy is therefore our necessary introduction to the grand, the immortal achievements of the Alexandrian school.

Aristotle was born at Stagira, in Thrace, B.C. 384. His father was an eminent author of those times on subjects of Natural History; by profession he was a physician. Dying while his son was yet quite young, he bequeathed to him not only very ample means, but also his own tastes. Aristotle soon found his way to Athens, and entered the school of Plato, with whom it is said he remained for nearly twenty years. During this period he spent most of his patrimony, and in the end was obliged to support himself by the trade of a druggist. At length differences arose between them, for, as we shall soon find, the great pupil was by no means a blind follower of the great master. In a fortunate moment, Philip, the King of Macedon, appointed him preceptor to his son Alexander, an incident of importance in the intellectual history of Europe. It was to the friendship arising through this relation that Aristotle owed the assistance he received from the conqueror during his Asiatic expedition for the composition of "the Natural History," and also gained that prestige which gave his name such singular authority for more than fifteen centuries. He eventually founded a school in the Lyceum at Athens, and, as it was his habit to deliver his lectures while walking, his disciples received the name of Peripatetics, or walking philosophers. These lectures were of two kinds, esoteric and exoteric, the former being delivered to the more advanced pupils only. He wrote a very large number of works, of which about one-fourth remain.

The philosophical method of Aristotle is the inverse of that of Plato, whose starting-point was universals, the very existence of which was a matter of faith, and from these he descended to particulars or details. Aristotle, on the contrary, rose from particulars to universals, advancing to them by inductions; and his system, thus an inductive philosophy, was in reality the true beginning of science.

Plato therefore trusts to the Imagination, Aristotle to Reason. The contrast between them is best seen by the attitude in which they stand as respects the Ideal theory. Plato regards universals, types, or exemplars as having an actual existence; Aristotle declares that they are mere abstractions of reasoning. For the fanciful reminiscences derived from former experience in another life by Plato, Aristotle substitutes the reminiscences of our actual experience in this. These ideas of experience are furnished by the memory, which enables us not only to recall individual facts and events witnessed by ourselves, but also to collate them with one another, thereby discovering their resemblances and their differences. Our induction becomes the more certain as our facts are more numerous, our experience larger. "Art commences when, from a great number of experiences, one general conception is formed which will embrace all similar cases." "If we properly observe celestial phenomena, we may demonstrate the laws which regulate them." With Plato, philosophy arises from faith in the past; with Aristotle, reason alone can constitute it from existing facts. Plato is analytic, Aristotle synthetic. The philosophy of Plato arises from the decomposition of a primitive idea into particulars, that of Aristotle from the union of particulars into a general conception. The former is essentially an idealist, the latter a materialist.

From this it will be seen that the method of Plato was capable of producing more splendid, though they were necessarily more unsubstantial results; that of Aristotle was more tardy in its operation, but much more solid. It implied endless labour in the collection of facts, the tedious resort to experiment and observation, the application of demonstration. In its very nature it was such that it was impossible for its author to carry by its aid the structure of science to completion. The moment that Aristotle applies his own principles we find him compelled to depart from them through want of a sufficient experience and sufficient precision in his facts. The philosophy of Plato is a gorgeous castle in the air, that of Aristotle is a solid structure, laboriously, and, with many failures, founded on the solid rock.

Under Logic, Aristotle treats of the methods of arriving at general propositions, and of reasoning from them. His logic is at once the art of thinking and the instrument of thought. The completeness of our knowledge depends on the extent and completeness of our experience. His manner of reasoning is by the syllogism, an argument consisting of three propositions, such that the concluding one follows of necessity from the two premises, and of which, indeed, the whole theory of demonstration is only an example. Regarding logic as the instrument of thought, he introduces into it, as a fundamental feature, the ten categories. These predicaments are the genera to which everything may be reduced, and denote the most general of the attributes which may be assigned to a thing.

His metaphysics overrides all the branches of the physical sciences. It undertakes an examination of the postulates on which each one of them is founded, determining their truth or fallacy. Considering that all science must find a support for its fundamental conditions in an extensive induction from facts, he puts at the foundation of his system the consideration of the individual; in relation to the world of sense, he regards four causes as necessary for the production of a fact—the material cause, the substantial cause, the efficient cause, the final cause.

But as soon as we come to the Physics of Aristotle we see at once his weakness. The knowledge of his age does not furnish him facts enough whereon to build, and the consequence is that he is forced into speculation. It will be sufficient for our purpose to allude to a few of his statements, either in this or in his metaphysical branch, to show how great is his uncertainty and confusion. Thus he asserts that matter contains a triple form—simple substance, higher substance, which is eternal, and absolute substance, or God himself; that the universe is immutable and eternal, and, though in relation The Peripatetic philosophy.
Substance, Motion, Space, Time. with the vicissitudes of the world, it is unaffected thereby; that the primitive force which gives rise to all the motions and changes we see is Nature; it also gives rise to Rest; that the world is a living being, having a soul; that, since every thing is for some particular end, the soul of man is the end of his body; that Motion is the condition of all nature; that the world has a definite boundary and a limited magnitude; that Space is the immovable vessel in which whatever is may be moved; that Space, as a whole, is without motion, though its parts may move; that it is not to be conceived of as without contents; that it is impossible for a vacuum to exist, and hence there is not beyond and surrounding the world a void which contains the world; that there could be no such thing as Time unless there is a soul, for time being the number of motion, number is impossible except there be one who numbers; that, perpetual motion in a finite right line The world. being impossible, but in a curvilinear path possible, the world, which is limited and ever in motion, must be of a spherical form; that the earth is its central part, the heavens the circumferential: hence the heaven is nearest to the prime cause of motion; that the orderly, continuous, and unceasing movement of the celestial bodies implies an unmoved mover, for the unchangeable alone can give birth to uniform motion; that unmoved existence is God; that the stars are passionless beings, having attained the end of existence, and worthy above other things of human adoration; that the fixed stars are in the outermost heaven, and the sun, moon, and planets beneath: the former receive their motion from the prime moving cause, but the planets are disturbed by the stars; that there are five elements—earth, air, fire, water, and ether; that the earth is in the centre of the world, since earthy matter settles uniformly round a central point; that fire seeks the circumferential region, and intermediately water floats upon the earth, and air upon water; that the elements are transmutable into one another, and hence many intervening substances arise; that each sphere is in interconnection with the others; the earth is agitated and disturbed by the sea, the sea by the winds, which are movements of the air, the air by the sun, moon, and planets. Each inferior sphere is controlled by its outlying or superior one, and hence it follows that the earth, which is thus disturbed by the conspiring or conflicting action of all above it, is liable to the most irregularities; that, since animals are nourished by the earth, it needs must enter into their composition, but that water is required to hold the earthy matters together; that every element must be looked upon as living, since it is pervaded by the soul of the world; that there is an unbroken chain from the simple element through the plant and animal up to man, Organic beings. the different groups merging by insensible shades into one another: thus zoophytes partake partly of the vegetable and partly of the animal, and serve as an intermedium between them; that plants are inferior to animals in this, that they do not possess a single principle of life or soul, but many subordinate ones, as is shown by the circumstance that, when they are cut to pieces, each piece is capable of perfect or independent growth or life. Their inferiority is likewise betrayed by their belonging especially to the earth to which they are rooted, each root being a true mouth; and this again displays their lowly position, for the place of the mouth is ever an indication of the grade of a creature: thus in man, who is at the head of the scale, it is in the upper part of the body; that in proportion to the heat of an animal is its grade higher; thus those that are aquatic are cold, and therefore of very little intelligence, and the same maybe said of plants; but of man, whose warmth is very great, the soul is much more excellent; that the possession of locomotion by an organism always implies the possession of sensation; that the senses of taste and touch indicate the qualities of things in contact with the organs of the animal, but that those of Physiological conclusions. smell, hearing, and sight extend the sphere of its existence, and indicate to it what is at a distance: that the place of reception of the various sensations is the soul, from which issue forth the motions; that the blood, as the general element of nutrition, is essential to the support of the body, though insensible itself: it is also essential to the activity of the soul; that the brain is not the recipient of sensations: that function belongs to the heart; all the animal activities are united in the last; it contains the principle of life, being the principle of motion: it is the first part to be formed and the last to die; that the brain is a mere appendix to the heart, since it is formed after the heart, is the coldest of the organs and is devoid of blood; that the soul is the reunion of all the functions of the body: it is an energy or active essence; being neither body nor magnitude, it cannot have extension, for thought has no parts, nor can it be said to move in space; it is as a sailor, who is motionless in a ship which is moving; that, in the origin of the organism, the male furnishes the soul and the female the body; that the body being liable to decay, and of a transitory nature, it is necessary for its well-being that its disintegration and nutrition should balance one another; that sensation may be compared to the impression of a seal on wax, the wax receiving form only, but no substance or matter; that imagination arises from impressions thus made, which endure for a length of time, and that this is the origin of memory; that man alone possesses recollection, but animals share with him memory—memory being unintentional or spontaneous, but recollection implying voluntary exertion or a search; that recollection is necessary for acting with design. It is doubtful whether Aristotle believed in the immortality of the soul, no decisive passage to that effect occurring in such of his works as are extant.

Aristotle, with a correct and scientific method, tried to build up a vast system when he was not in possession of the necessary data. Though a very learned man, he had not sufficient knowledge; indeed, there was not sufficient knowledge at that time in the world. For many of the assertions I have quoted in the preceding paragraph there was no kind of proof; many of them also, such as the settling of the heavy and the rise of the light, imply very poor cosmic ideas. It is not until he deals with those branches, such as comparative anatomy and natural history, of which he had a personal and practical knowledge, that he begins to write well. Of his physiological conclusions, some are singularly felicitous; his views of the connected chain of organic forms, from the lowest to the highest, are very grand. His metaphysical and physical speculations—for in reality they are nothing but speculations—are of no kind of value. His successful achievements, and also his failures, conspicuously prove the excellence of his system. He expounded the true principles of science, but failed to apply them merely for want of materials. His ambition could not brook restraint. He would rather attempt to construct the universe without the necessary means than not construct it at all. Aristotle failed when he abandoned his own principles, and the magnitude of his failure proves how just his principles were; he succeeded when he adhered to them. If anything were wanting to vindicate their correctness and illustrate them, it is supplied by the glorious achievements of the Alexandrian school, which acted in physical science as Aristotle had acted in natural history, laying a basis solidly in observation and experiment, and accomplishing a like durable and brilliant result.

From Aristotle it is necessary to turn to Zeno, for the Peripatetics and Stoics stand in parallel lines. The social conditions existing in Greece at the time of Epicurus may in some degree palliate his sentiments, but virtue and honour will make themselves felt at last. Stoicism soon appeared as the antagonist of Epicureanism, and Epicurus found in Zeno of Citium a rival. The passage from Epicurus to Zeno is the passage from sensual gratification to self-control.

The biography of Zeno may be dismissed in a few words. Born about B.C. 300, he spent the early part of his life in the vocation of his father, who was a merchant, but, by a fortunate shipwreck, happily losing his goods during a voyage he was making to Athens, he turned to philosophy for consolation. Though he had heretofore been somewhat acquainted with the doctrines of Socrates, he became a disciple of the Cynics, subsequently studying in the Megaric school, and then making himself acquainted with Platonism. After twenty years of preparation, he opened a school in the stoa or porch in Athens, from which his doctrine and disciples have received their name. He presided over his school for fifty-eight years, numbering many eminent men among his disciples. When nearly a hundred years old he chanced to fall and break his finger, and, receiving this as an admonition that his time was accomplished, he forthwith strangled himself. The Athenians erected to his memory a statue of brass. His doctrines long survived him, and, in times when there was no other consolation for man, offered a support in their hour of trial, and an unwavering guide in the vicissitudes of life, not only to many illustrious Greeks, but also to some of the great philosophers, statesmen, generals, and emperors of Rome.

It was the intention of Zeno to substitute for the visionary speculations of Platonism a system directed to the daily practices of life, and hence dealing chiefly with morals. To make men virtuous was his aim. But this is essentially connected with knowledge, for Zeno was persuaded that if we only know what is good we shall be certain to practise it. He therefore rejected Plato's fancies of Ideas and Reminiscences, leaning to the common-sense doctrines of Aristotle, to whom he approached in many details. With him Sense furnishes the data of knowledge, and Reason combines them: the soul being modified by external things, and modifying them in return, he believed that the mind is at first, as it were, a blank tablet, on which sensation writes marks, and that the distinctness of sensuous impressions is the criterion of their truth. The changes thus produced in the soul constitute ideas; but, with a prophetic inspiration, he complained that man will never know the true essence of things.

In his Physics Zeno adopted the doctrine of Strato, that the world is a living being. He believed that nothing incorporeal can produce an effect, and hence that the soul is corporeal. Matter and its properties he considered to be absolutely inseparable, a property being actually a body. In the world there are two things, matter and God, who is the Reason of the world. Essentially, however, God and matter are the same thing, which assumes the aspect of matter from the passive point of view, and God from the active; he is, moreover, the prime moving force, Destiny, Necessity, a life-giving Soul, evolving things as the vital force evolves a plant out of a seed; the visible world is thus to be regarded as the material manifestation of God. The transitory objects which it on all sides presents will be reabsorbed after a season of time, and reunited in him. The Stoics pretended to indicate, even in a more definite manner, the process by which the world has arisen, and also its future destiny; for, regarding the Supreme as a vital heat, they supposed that a portion of that fire, declining in energy, became transmuted into matter, and hence the origin of the world; but that that fire, hereafter resuming its activity, would cause a universal conflagration, the end of things. During the present state everything is in a condition of uncertain mutation, decays being followed by reproductions, and reproductions by decays; and, as a cataract shows from year to year an invariable form, though the water composing it is perpetually changing, so the objects around us are nothing more than a flux of matter offering a permanent form. Thus the visible world is only a moment in the life of God, and after it has vanished away like a scroll that is burned, a new period shall be ushered in, and a new heaven and a new earth, exactly like the ancient ones, shall arise. Since nothing can exist without its contrary, no injustice unless there was justice, no cowardice unless there was courage, no lie unless there was truth, no shadow unless there was light, so the existence of good necessitates that of evil. The Stoics believed that the development of the world is under the dominion of paramount law, supreme law, Destiny, to which God himself is subject, and that hence he can only develop the world in a predestined way, as the vital warmth evolves a seed into the predestined form of a plant.

The Stoics held it indecorous to offend needlessly the religious ideas of the times, and, indeed, they admitted that there might be created gods like those of Plato; but they disapproved of the adoration of images and the use of temples, making amends for their offences in these particulars by offering a semi-philosophical interpretation of the legends, and demonstrating that the existence, and even phenomenal display of the gods was in accordance with their principles. Perhaps to this exoteric philosophy we must ascribe the manner in which they expressed themselves as to final causes—expressions sometimes of amusing quaintness—thus, that the peacock was formed for the sake of his tail, and that a soul was given to the hog instead of salt, to prevent his body from rotting; that the final cause of plants is to be food for brutes, of brutes to be food for men, though they discreetly checked their irony in its ascending career, and abstained from saying that men are food for the gods, and the gods for all.

The Stoics concluded that the soul is mere warm breath, and that it and the body mutually interpervade one another. They thought that it might subsist after death until the general conflagration, particularly if its energy were great, as in the strong spirits of the virtuous and wise. Its unity of action implies that it has a principle of identity, the I, of which the physiological seat is the heart. Every appetite, lust, or desire is an imperfect knowledge. Our nature and properties are forced upon us by Fate, but it is our duty to despise all our propensities and passions, and to live so that we may be free, intelligent, and virtuous.

This sentiment leads us to the great maxim of Stoical Ethics, "Live according to Reason;" or, since the world is composed of matter and God, who is the Reason of the world, "Live in harmony with Nature." As Reason is supreme in Nature, it ought to be so in man. Our existence should be intellectual, and all bodily pains and pleasures should be despised. A harmony between the human will and universal Reason constitutes virtue. The free-will of the sage should guide his actions in the same irresistible manner in which universal Reason controls nature. Hence the necessity of a cultivation of physics, without which we cannot distinguish good from evil. The sage is directed to remember that Nature, in her operations, aims at the universal, and never spares individuals, but uses them as means for accomplishing her ends. It is for him, therefore, to submit to his destiny, endeavouring continually to establish the supremacy of Reason, and cultivating, as the things necessary to virtue, knowledge, temperance, fortitude, justice. He is at liberty to put patriotism at the value it is worth when he remembers that he is a citizen of the world; he must train himself to receive in tranquillity the shocks of Destiny, and to be above all passion and all pain. He must never relent and never forgive. He must remember that there are only two classes of men, the wise and the fools, as "sticks can only either be straight or crooked, and very few sticks in this world are absolutely straight."

From the account I have given of Aristotle's philosophy, it may be seen that he occupied a middle ground between the speculation of the old philosophy and the strict science of the Alexandrian school. He is the true connecting link, in the history of European intellectual progress, between philosophy and science. Under his teaching, and the material tendencies of the Macedonian campaigns, there arose a class of men in Egypt who gave to the practical a development it had never before attained; for that country, upon the breaking up of Alexander's dominion, B.C. 323, falling into the possession of Ptolemy, that general found himself at once the depositary of spiritual and temporal power. Of the former, it is to be remembered that, though the conquest by Cambyses had given it a severe shock, it still not only survived, but displayed no inconsiderable tokens of strength. Indeed, it is well known that the surrender of Egypt to Alexander was greatly accelerated by hatred to the Persians, the Egyptians welcoming the Macedonians as their deliverers. In this movement we perceive at once the authority of the old priesthood. It is hard to tear up by the roots an ancient religion, the ramifications of which have solidly insinuated themselves among a populace. That of Egypt had already been the growth of more than three thousand years. The question for the intrusive Greek sovereigns to solve was how to co-ordinate this hoary system with the philosophical scepticism They co-ordinate Egyptian idolatry and Greek scepticism. that had issued as the result of Greek thought. With singular sagacity, they saw that this might be accomplished by availing themselves of Orientalism, the common point of contact of the two systems; and that, by its formal introduction and development, it would be possible not only to enable the philosophical king, to whom all the pagan gods were alike equally fictitious and equally useful, to manifest respect even to the ultra-heathenish practices of the Egyptian populace, but, what was of far more moment, to establish an apparent concord between the old sacerdotal Egyptian party—strong in its unparalleled antiquity; strong in its reminiscences; strong in its recent persecutions; strong in its Pharaonic relics, regarded by all men with a superstitious or reverent awe—and the free-thinking and versatile Greeks. The occasion was like some others in history, some even in our own times; a small but energetic body of invaders was holding in subjection an ancient and populous country.

To give practical force to this project, a grand state institution was founded at Alexandria. It became celebrated as the Museum. To it, as to a centre, philosophers from all parts of the world converged. It is said that at one time not less than fourteen thousand students were assembled there. Alexandria, in confirmation of the prophetic foresight of the great soldier who founded it, quickly became an immense metropolis, abounding in mercantile and manufacturing activity. As is ever the case with such cities, its higher classes were prodigal and dissipated, its lower only to be held in restraint by armed force. Its public amusements were such as might be expected—theatrical shows, music, horse-racing. In the solitude of such a crowd, or in the noise of such dissipation, anyone could find a retreat—atheists who had been banished from Athens, devotees from the Ganges, monotheistic Jews, blasphemers from Asia Minor. Indeed, it has been said that in this heterogeneous community blasphemy was hardly looked upon as a crime; at the worst, it was no more than an unfortunate, and, it might be, an innocent mistake. But, since uneducated men need some solid support on which their thoughts may rest, mere abstract doctrines not meeting their wants, it became necessary to provide a corporeal representation Establishment of the worship of Serapis. for this eclectic philosophical Pantheism, and hence the Ptolemies were obliged to restore, or, as some say, to import the worship of the god Serapis. Those who affirm that he was imported say that he was brought from Sinope; modern Egyptian scholars, however, give a different account. As setting forth the Pantheistic doctrine of which he was the emblem, his image, subsequently to attain world-wide fame, was made of all kinds of metals and stones. "All is God." But still the people, with that instinct which other nations and ages have displayed, hankered after a female divinity, and this led to the partial restoration of the worship of Isis. It is interesting to remark how the humble classes never shake off the reminiscences of early life, leaning rather to the maternal than to the paternal attachment. Perhaps it is for that reason that they expect a more favourable attention to their supplications from a female divinity than a god. Accordingly, the devotees of Isis soon out-numbered those of Serapis, though a magnificent temple had been built for him at Rhacotis, in the quarter adjoining the Museum, and his worship was celebrated with more than imperial splendour. In subsequent ages the worship of Serapis diffused itself throughout the Roman empire, though the authorities—consuls, senate, emperors—knowing well the idea it foreshadowed, and the doctrine it was meant to imply, used their utmost power to put it down.

The Alexandrian Museum soon assumed the character of a University. In it those great libraries were collected, the pride and boast of antiquity. Demetrius Phalareus was instructed to collect all the writings in the world. So powerfully were the exertions of himself and his successors enforced by the government that two immense libraries were procured. They contained 700,000 volumes. In this literary and scientific retreat, supported in ease and even in luxury—luxury, for allusions to the sumptuous dinners have descended to our times—the philosophers spent their time in mental culture by study, or mutual improvement by debates. The king himself conferred appointments to these positions; in later times, the Roman emperors succeeded to the patronage, the government thereby binding in golden chains intellect that might otherwise have proved troublesome. At first, in honour of the ancient religion, the presidency of the establishment was committed to an Egyptian priest; but in the course of time that policy was abandoned. It must not, however, be imagined that the duties of the inmates were limited to reading and rhetorical display; a far more Botanical gardens; menageries; dissecting-houses; observatories. practical character was imparted to them. A botanical garden, in connection with the Museum, offered an opportunity to those who were interested in the study of the nature of plants; a zoological menagerie afforded like facilities to those interested in animals. Even these costly establishments were made to minister to the luxury of the times: in the zoological garden pheasants were raised for the royal table. Besides these elegant and fashionable appointments, another, of a more forbidding and perhaps repulsive kind, was added; an establishment which, in the light of our times, is sufficient to confer immortal glory on those illustrious and high-minded kings, and to put to shame the ignorance and superstition of many modern nations: it was an anatomical school, suitably provided with means for the dissection of the human body, this anatomical school being the basis of a medical college for the education of physicians. For the astronomers Ptolemy Euergetes placed in the Square Porch an equinoctial and a solstitial armil, the graduated limbs of these instruments being divided into degrees and sixths. There were in the observatory stone quadrants, the precursors of our mural quadrants. On the floor a meridian line was drawn for the adjustment of the instruments. There were also astrolabes and dioptras. Thus, side by side, almost in the king's palace, were noble provisions for the cultivation of exact science and for the pursuit of light literature. Under the same roof were gathered together geometers, astronomers, chemists, mechanicians, engineers. There were also poets, who ministered to the literary wants of the dissipated city—authors who could write verse, not only in correct Life in the Museum. metre, but in all kinds of fantastic forms—trees, hearts, and eggs. Here met together the literary dandy and the grim theologian. At their repasts occasionally the king himself would preside, enlivening the moment with the condescensions of royal relaxation. Thus, of Philadelphus it is stated that he caused to be presented to the Stoic SphÆrus a dish of fruit made of wax, so beautifully coloured as to be undistinguishable from the natural, and on the mortified philosopher detecting too late the fraud that had been practised upon him, inquired what he now thought of the maxim of his sect that "the sage is never deceived by appearances." Of the same sovereign it is related that he received the translators of the Septuagint Bible with the highest honours, entertaining them at his table. Under the atmosphere of the place their usual religious ceremonial was laid aside, save that the king courteously requested one of the aged priests to offer an extempore prayer. It is naively related that the Alexandrians present, ever quick to discern rhetorical merit, testified their estimation of the performance with loud applause. But not alone did literature and the exact sciences thus find protection. As if no subjects with which the human mind has occupied itself can be unworthy of investigation, in the Museum were cultivated the more doubtful arts, magic and astrology. Philadelphus, who, toward the close of his life, was haunted with an intolerable dread of death, devoted himself with intense assiduity to the discovery of the elixir of life and to alchemy. Such a comprehensive organization for the development of human knowledge never existed in the world before, and, considering the circumstances, never has since. To be connected with it was the passport to the highest Alexandrian society and to court favour.

To the Museum, and, it has been asserted, particularly to Ptolemy Philadelphus, the Christian world is thus under obligation for the ancient version of the Hebrew Scriptures—the Septuagint. Many idle stories have been related respecting the circumstances under which that version was made, as that the seventy-two translators by whom it was executed were confined each in a separate cell, and, when their work was finished, the seventy-two copies were found identically the same, word for word, from this it was supposed that the inspiration of this translation was established. If any proof of that kind were needed, it would be much better found in the fact that whenever occasion arises in the New Testament of quoting from the Old, it is usually done in the words of the Septuagint. The story of the cells underwent successive improvements among the early fathers, but is now rejected as a fiction; and, indeed, it seems probable that the translation was not made under the splendid circumstances commonly related, but merely by the Alexandrian Jews for their own convenience. As the Septuagint grew into credit among the Christians, it lost favour among the Jews, who made repeated attempts in after years to supplant it by new versions, such as those of Aquila, of Theodotion, of Symmachus, and others. From the first the Syrian Jews had looked on it with disapproval; they even held the time of its translation as a day of mourning, and with malicious grief pointed out its errors, as, for instance, they affirmed that it made Methusaleh live until after the Deluge. Ptolemy treated all those who were concerned in providing books for the library with consideration, remunerating his translators and transcribers in a princely manner.

But the modern world is not indebted to these Egyptian kings only in the particular here referred to. The Museum made an impression upon the intellectual career of Europe so powerful and enduring that we still enjoy its results. That impression was twofold, theological and physical. The dialectical spirit and literary culture diffused among the Alexandrians prepared that people, beyond all others, for the reception of Christianity. For thirty centuries the Egyptians had been familiar with the conception of a triune God. There was hardly a city of any note without its particular triad. Here it was Amun, Maut, and Khonso; there Osiris, Isis, and Horus. The apostolic missionaries, when they reached Alexandria, found a people ready to appreciate the profoundest mysteries. But with these advantages came great evils. The Trinitarian disputes, which subsequently deluged the world with blood, had their starting-point and focus in Alexandria. In that city Arius and Athanasius dwelt. There originated that desperate conflict which compelled Constantine the Great to summon the Council of Nicea, to settle, by a formulary or creed, the essentials of our faith.

But it was not alone as regards theology that Alexandria exerted a power on subsequent ages; her influence was as strongly marked in the impression it gave to science. Astronomical observatories, chemical laboratories, libraries, dissecting-houses, were not in vain. There went forth from them a spirit powerful enough to tincture all future times. Nothing like the Alexandrian Museum was ever called into existence in Greece or Rome, even in their palmiest days. It is the unique and noble memorial of the dynasty of the Ptolemies, who have thereby laid the whole human race under obligations, and vindicated their title to be regarded as a most illustrious line of kings. The Museum was, in truth, an attempt at the organization of human knowledge, both for its development and its diffusion. It was conceived and executed in a practical manner worthy of Alexander. And though, in the night through which Europe has been passing—a night full of dreams and delusions—men have not entertained a right estimate of the spirit in which that great institution was founded, and the work it accomplished, its glories being eclipsed by darker and more unworthy things, the time is approaching when its action on the course of human events will be better understood, and its influences on European civilization more clearly discerned.

Thus, then, about the beginning of the third century before Christ, in consequence of the Macedonian campaign, which had brought the Greeks into contact with the ancient civilization of Asia, a great degree of intellectual activity was manifested in Egypt. On the site of the village of Rhacotis, once held as an Egyptian post to prevent the ingress of strangers, the Macedonians erected that city which was to be the entrepÔt of the commerce of the East and West, and to transmit an illustrious name to the latest generations. Her long career of commercial prosperity, her commanding position as respects the material interests of the world, justified the statesmanship of her founder, and the intellectual glory which has gathered round her has given an enduring lustre to his name.

There can be no doubt that the philosophical activity here alluded to was the direct issue of the political and military event to which we have referred it. The tastes and genius of Alexander were manifested by his relations to Aristotle, whose studies in natural history he promoted by the collection of a menagerie; and in astronomy, by transmitting to him, through Callisthenes, the records of Babylonian observations extending over 1903 years. His biography, as we have seen, shows a personal interest in the cultivation of such studies. In this particular other great soldiers have resembled him; and perhaps it may be inferred that the practical habit of thought and accommodation of theory to the actual purposes of life pre-eminently required by their profession, leads them spontaneously to decline speculative uncertainties, and to be satisfied only with things that are real and exact. Under the inspiration of the system of Alexander, and guided by the suggestions of certain great men who had caught the spirit of the times, the Egyptian kings thus created, under their own immediate auspices, the Museum. State policy, operating in the manner I have previously described, furnished them with an additional theological reason for founding this establishment. In the Macedonian campaign a vast amount of engineering and mathematical talent had been necessarily stimulated into existence, for great armies cannot be handled, great marches cannot be made, nor great battles fought without that result. When the period of energetic action was over, and to the military operations succeeded comparative repose and temporary moments of peace, the talent thus called forth found occupation in the way most congenial to it by cultivating mathematical and physical studies. In Alexandria, itself a monument of engineering and architectural skill, soon were to be found men whose names were destined for The great men it produced. futurity—Apollonius, Eratosthenes, Manetho. Of these, one may be selected for the remark that, while speculative philosophers were occupying themselves with discussions respecting the criterion of truth, and, upon the whole, coming to the conclusion that no such thing existed, and that, if the truth was actually in the possession of man, he had no means of knowing it, Euclid of Alexandria was writing an immortal work, destined to challenge contradiction from the whole human race, and to make good its title as the representative of absolute and undeniable truth—truth not to be gainsaid in any nation or at any time. We still use the geometry of Euclid in our schools.

It is said that Euclid opened a geometrical school in Alexandria about B.C. 300. He occupied himself not only with mathematical, but also with physical investigation. Besides many works of the former class supposed to have been written by him, as on Fallacies, Conic Sections, Divisions, Porisms, Data, there are imputed to him treatises on Harmonics, Optics, and Catoptrics, the two latter subjects being discussed, agreeably to the views of those times, on the hypothesis of rays issuing from the eye to the object, instead of passing, as we consider them to do, from the object to the eye. It is, however, on the excellencies of his Elements of Geometry that the durable reputation of Euclid depends; and though the hypercriticism of modern mathematicians has perhaps successfully maintained such objections against them as that they might have been more precise in their axioms, that they sometimes assume what might be proved, that they are occasionally redundant, and their arrangement sometimes imperfect, yet they still maintain their ground as a model of extreme accuracy, of perspicuity, and as a standard of exact demonstration. They were employed universally by the Greeks, and, in subsequent ages, were translated and preserved by the Arabs.

Great as is the fame of Euclid, it is eclipsed by that of Archimedes the Syracusan, born B.C. 287, whose connection with Egyptian science is not alone testified by tradition, but also by such facts as his acknowledged friendship with Conon of Alexandria, and his invention of the screw still bearing his name, intended for raising the waters of the Nile. Among his mathematical works, the most interesting, perhaps, in his own estimation, as we may judge from the incident that he directed the diagram thereof to be engraved on his tombstone, was his demonstration that the solid content of a sphere is two-thirds that of its circumscribing cylinder. It was by this mark that Cicero, when QuÆstor of Sicily, discovered the tomb of Archimedes grown over with weeds. This theorem was, however, only one of a large number of a like kind, which he treated of in his two books on the sphere and cylinder in an equally masterly manner, and with equal success. His position as a geometer is perhaps better understood from the assertion made respecting him by a modern mathematician, that he came as near to the discovery of the Differential Calculus as can be done without the aid of algebraic transformations. Among the special problems he treated of may be mentioned the quadrature of the circle, his determination of the ratio of the circumference to the diameter being between: 3·1428 and 3·1408, the true value, as is now known, being 3·1416 nearly. He also wrote on Conoids and Spheroids, and upon that spiral still passing under his name, the genesis of which had been suggested to him by Conon. In his work entitled "Psammites" he alludes to the astronomical system subsequently established by Copernicus, whose name has been given to it. He also mentions the attempts which had been made to measure the size of the earth; the chief object of the work being, however, to prove not only that the sands upon the sea-shore can be numbered, but even those required to fill the entire space within the sphere of the fixed stars; the result being, according to our system of arithmetic, a less number than is expressed by unity followed by 63 ciphers. Such a book is the sport of a geometrical giant wantonly amusing himself with his strength. Among his mathematical investigations must not be omitted the quadrature of the parabola. His fame depends, however, not so much on his mathematical triumphs as upon his brilliant discoveries in physics and his mechanical inventions. How he laid the foundation of Hydrostatics is familiar to everyone, through the story of Hiero's crown. A certain artisan having adulterated the gold given him by King Hiero to form a crown, Archimedes discovered while he was accidentally stepping into a bath, that the falsification might be detected, and thereby invented the method for the determination of specific gravity. From these investigations he was naturally led to the consideration of the equilibrium of floating bodies; but his grand achievement in the mechanical direction was his discovery of the true theory of the lever: his surprising merit in these respects is demonstrated by the fact that no advance was made in theoretical mechanics during the eighteen centuries intervening between him and Leonardo da Vinci. Of minor matters not fewer than forty mechanical inventions have been attributed to him. Among these are the endless screw, the screw pump, a hydraulic organ, and burning mirrors. His genius is well indicated by the saying popularly attributed to him, "Give me whereon to stand, and I will move the earth," and by the anecdotes told of his exertions against Marcellus during the siege of Syracuse; his invention of catapults and other engines for throwing projectiles, as darts and heavy stones, claws which, reaching over the walls, lifted up into the air ships and their crews, and then suddenly dropped them into the sea; burning mirrors, by which, at a great distance, the Roman fleet was set on fire. It is related that Marcellus, honouring his intellect, gave the strictest orders that no harm should be done to him at the taking of the town, and that he was killed, unfortunately, by an ignorant soldier—unfortunately, for Europe was not able to produce his equal for nearly two thousand years.

Eratosthenes was contemporary with Archimedes. He was born at Cyrene, B.C. 276. The care of the library appears to have been committed to him by Euergetes; but his attention was more specially directed to mathematical, astronomical, geographical, and historical pursuits. The work entitled "Catasterisms," doubtfully imputed to him, is a catalogue of 475 of the principal stars; but it was probably intended for nothing more than a manual. He also is said to have written a poem upon terrestrial zones. Among his important geographical labours may be mentioned his determination of the interval between the tropics. He found it to be eleven eighty-thirds of the circumference. He also attempted the measurement of the size of the earth by ascertaining the distance between Alexandria and Syene, the difference of latitude between which he had found to be one-fiftieth of the earth's circumference. It was his object to free geography from the legends with which the superstition of ages had adorned and oppressed it. In effecting this he well deserves the tribute paid to him by Humboldt, the modern who of all others could best appreciate his labours. He considered the articulation and expansion of continents; the position of mountain chains; the action of clouds; the geological submersion of lands; the elevation of ancient sea-beds; the opening of the Dardanelles and of the Straits of Gibraltar; the relations of the Euxine Sea; the problem of the equal level of the circumfluous ocean; and the necessary existence of a mountain chain running through Asia in the diaphragm of DicÆarchus. What an advance is all this beyond the meditations of Thales! Herein we see the practical tendencies of the Macedonian wars. In his astronomical observations he had the advantage of using the armils and other instruments in the Observatory. He ascertained that the direction of terrestrial gravity is not constant, but that the verticals converge. He composed a complete systematic description of the earth in three books—physical, mathematical, historical—accompanied by a map of all the parts then known. Of his skill as a geometer, his solution of the problem of two mean proportionals, still extant, offers ample evidence; and it is only of late years that the fragments remaining of his Chronicles of the Theban Kings have been properly appreciated. He hoped to free history as well as geography from the myths that deform it, a task which the prejudices and interests of man will never permit to be accomplished. Some amusing anecdotes of his opinions in these respects have descended to us. He ventured to doubt the historical truth of the Homeric legends. "I will believe in it when I have been shown the currier who made the wind-bags which Ulysses on his homeward voyage received from Æolus." It is said that, having attained the age of eighty years, he became weary of life, and put an end to himself by voluntary starvation.

I shall here pause to make a few remarks suggested by the chronological and astronomical works of Eratosthenes. Our current chronology was the offspring of erroneous theological considerations, the nature of which required not only a short historical term for the various nations of antiquity, but even for the existence of man upon the globe. This necessity appears to have been chiefly experienced in the attempt to exalt certain facts in the history of the Hebrews from their subordinate position in human affairs, and, indeed, to give the whole of that history an exaggerated value. This was done in a double way: by elevating Hebrew history from its true grade, and depreciating or falsifying that of other nations. Among those who have been guilty of this literary offence, the name of the celebrated Eusebius, the Bishop of CÆsarea in the time of Constantine, should be designated, since in his chronography and synchronal tables he purposely "perverted chronology for the sake of making synchronisms" (Bunsen). It is true, as Niebuhr asserts, "He is a very dishonest writer." To a great extent, the superseding of the Egyptian annals was brought about by his influence. It was forgotten, however, that of all things chronology is the least suited to be an object of inspiration; and that, though men may be wholly indifferent to truth for its own sake, and consider it not improper to wrest it unscrupulously to what they may suppose to be a just purpose, yet that it will vindicate itself at last. It is impossible to succeed completely in perverting the history of a nation which has left numerous enduring records. Egypt offers us testimonials reaching over five thousand years. As Bunsen remarks, from the known portion of the curve of history we may determine the whole. The Egyptians, old as they are, belong to the middle ages of mankind, for there is a period antecedent to monumental history, or indeed, to history of any kind, during which language and mythology are formed, for these must exist prior to all political institutions, all art, all science. Even at the first moment that we gain a glimpse of the state of Egypt she had attained a high intellectual condition, as is proved by the fact that her system of hieroglyphics was perfected before the fourth dynasty. It continued unchanged until the time of Psammetichus. A stationary condition of language and writing for thousands of years necessarily implies a long and very remote period of active improvement and advance. It was doubtless such a general consideration, rather than a positive knowledge of the fact, which led the Greeks to assert that the introduction of geometry into Egypt must be attributed to kings before the times of Menes. Not alone do her artificial monuments attest for that country an extreme antiquity; she is herself her own witness; for, though the Nile raises its bed only four feet in a thousand years, all the alluvial portion of Egypt has been deposited from the waters of that river. A natural register thus re-enforces the written records, and both together compose a body of evidence not to be gainsaid. Thus the depth of muddy silt accumulated round the pedestals of monuments is an irreproachable index of their age. In the eminent position he occupied, Eusebius might succeed in perverting the received book-chronology; but he had no power to make the endless trade-wind that sweeps over the tropical Pacific blow a day more or a day less; none to change the weight of water precipitated from it by the African mountains; none to arrest the annual mass of mud brought down by the river. It is by collating such different orders of evidence together—the natural and the monumental, the latter gaining strength every year from the cultivation of hieroglyphic studies—that we begin to discern the true Egyptian chronology, and to put confidence in the fragments that remain of Eratosthenes and Manetho.

At the time of which we are speaking—the time of Eratosthenes—general ideas had been attained to respecting the doctrine of the sphere, its poles, axis, the equator, arctic and antarctic circles, equinoctial points, solstices, colures, horizon, etc. No one competent to form an opinion any longer entertained a doubt respecting the globular form of the earth, the arguments adduced in support of that fact being such as are still popularly resorted to—the different positions of the horizon at different places, the changes in elevation of the pole, the phenomena of eclipses, and the gradual disappearance of ships as they sail from us. As to eclipses, once looked upon with superstitious awe, their true causes had not only been assigned, but their periodicities so well ascertained that predictions of their occurrence could be made. The Babylonians had thus long known that after a cycle of 223 lunations the eclipses of the moon return. Attempts of Aristarchus to find the distance of the sun. The mechanism of the phases of that satellite was clearly understood. Indeed, Aristarchus of Samos attempted to ascertain the distance of the sun from the earth on the principle of observing the moon when she is dichotomized, a method quite significant of the knowledge of the time, though in practice untrustworthy; Aristarchus thus finding that the sun's distance is eighteen times that of the moon, whereas it is in reality 400. In like manner, in a general way, pretty clear notions were entertained of the climatic distribution of heat upon the earth, exaggerated, however, in this respect, that the torrid zone was believed to be too hot for human life, and the frigid too cold. Observations, as good as could be made by simple instruments, had not only demonstrated in a general manner the progressions, retrogradations and stations of the planets, but attempts had been made to account for, or rather to represent them, by the aid of epicycles.

It was thus in Alexandria, under the Ptolemies, that modern astronomy arose. Ptolemy Soter, the founder of this line of kings, was not only a patron of science, but likewise an author. He composed a history of the campaigns of Alexander. Under him the collection of the library was commenced, probably soon after the defeat of Antigonus at the battle of Ipsus, B.C. 301. The museum is due to his son Ptolemy Philadelphus, who not only patronized learning in his own dominions, but likewise endeavoured to extend the boundaries of human knowledge in other quarters. Thus he sent an expedition under his admiral Timosthenes as far as Madagascar. Of the succeeding Ptolemies, Euergetes and Philopator were both very able men, though the later was a bad one; he murdered his father, and perpetrated many horrors in Alexandria. Epiphanes, succeeding his father when only five years old, was placed by his guardians under the protection of Rome, thus furnishing to the ambitious republic a pretence for interfering in the affairs of Egypt. The same policy was continued during the reign of his son Philometor, who, upon the whole, was an able and good king. Even Physcon, who succeeded in B.C. 146, and who is described as sensual, corpulent, and cruel—cruel, for he cut off the head, hands, and feet of his son, and sent them to Cleopatra his wife—could not resist the inspirations to which the policy of his ancestors, continued for nearly two centuries, had given birth, but was an effective promoter of literature and the arts, and himself the author of an historical work. A like inclination was displayed by his successors, Lathyrus and Auletes, the name of the latter indicating his proficiency in music. The surnames under which all these Ptolemies pass were nicknames, or titles of derision imposed upon them by their giddy and satirical Alexandrian subjects. The political state of Alexandria was significantly said to be a tyranny tempered by ridicule. The dynasty ended in the person of the celebrated Cleopatra, who, after the battle of Actium, caused herself, as is related in the legends, to be bitten by an asp. She took poison that she might not fall captive to Octavianus, and be led in his triumph through the streets of Rome.

If we possessed a complete and unbiased history of these Greek kings, it would doubtless uphold their title to be regarded as the most illustrious of all ancient sovereigns. Even after their political power had passed into the hands of the Romans—a nation who had no regard to truth and to right—and philosophy, in its old age, had become extinguished or eclipsed by the faith of the later CÆsars, enforced by an unscrupulous use of their power, so strong was the vitality of the intellectual germ they had fostered, that, though compelled to lie dormant for centuries, it shot up vigorously on the first occasion that favouring circumstances allowed.

This Egyptian dynasty extended its protection and patronage to literature as well as to science. Thus Philadelphus did not consider it beneath him to count among his personal friends the poet Callimachus, who had written a treatise on birds, and honourably maintained himself by keeping a school in Alexandria. The court of that sovereign was, moreover, adorned by a constellation of seven poets, to which the gay Alexandrians gave the nickname of the Pleiades. They are said to have been Lycophron, Theocritus, Callimachus, Aratus, Apollonius Rhodius, Nicander, and Homer the son of Macro. Among them may be distinguished Lycophron, whose work, entitled Cassandra, still remains; and Theocritus, whose exquisite bucolics prove how sweet a poet he was.

To return to the scientific movement. The school of Euclid was worthily represented in the time of Euergetes by Apollonius PergÆus, forty years later than Archimedes. He excelled both in the mathematical and physical department. His chief work was a treatise on Conic Sections. It is said that he was the first to introduce the words ellipse and hyperbola. So late as the eleventh century his complete works were extant in Arabic. Modern geometers describe him as handling his subjects with less power than his great predecessor Archimedes, but nevertheless displaying extreme precision and beauty in his methods. His fifth book, on Maxima and Minima, is to be regarded as one of the highest efforts of Greek geometry. As an example of his physical inquiries may be mentioned his invention of a clock.

Fifty years after Apollonius, B.C. 160-125, we meet with the great astronomer Hipparchus. He does not appear to have made observations himself in Alexandria, but he uses those of Aristyllus and Timochares of that place. Indeed, his great discovery of the precession of the equinoxes was essentially founded on the discussion of the Alexandrian observations on Spica Virginis made by Timochares. In pure mathematics he gave methods for solving all triangles plane and spherical: he also constructed a table of chords. In astronomy, besides his capital discovery of the precession of the equinoxes just mentioned, he also determined the first inequality of the moon, the equation of the centre, and all but anticipated Ptolemy in the discovery of the evection. To him also must be attributed the establishment of the theory of The theory of epicycles and eccentrics. epicycles and eccentrics, a geometrical conception for the purpose of resolving the apparent motions of the heavenly bodies, on the principle of circular movement. In the case of the sun and moon, Hipparchus succeeded in the application of that theory, and indicated that it might be adapted to the planets. Though never intended as a representation of the actual motions of the heavenly bodies, it maintained its ground until the era of Kepler and Newton, when the heliocentric doctrine, and that of elliptic motions, were incontestably established. Even Newton himself, in the 37th proposition of the third book of the "Principia," availed himself of its aid. Hipparchus also undertook to make a register of the stars by the method of alineations—that is, by indicating those which were in the same apparent straight line. The number of stars catalogued by him was 1,080. If he thus depicted the aspect of the sky for his times, he also endeavoured to do the same for the surface of the earth by marking the position of towns and other places by lines of latitude and longitude.

Subsequently to Hipparchus, we find the astronomers Geminus and Cleomedes; their fame, however, is totally eclipsed by that of Ptolemy, A.D. 138, the author of the great work "Syntaxis," or the mathematical construction of the heavens—a work fully deserving the epithet which has been bestowed upon it, "a noble exposition of the mathematical theory of epicycles and eccentrics." It was translated by the Arabians after the Mohammedan conquest of Egypt; and, under the title of Almagest, was received by them as the highest authority on the mechanism and phenomena of the universe. It maintained its ground in Europe in the same eminent position for nearly fifteen hundred years, justifying the His great work: the mechanical construction of the heavens. encomium of Synesius on the institution which gave it birth, "the divine school of Alexandria." The Almagest commences with the doctrine that the earth is globular and fixed in space; it describes the construction of a table of chords and instruments for observing the solstices, and deduces the obliquity of the ecliptic. It finds terrestrial latitudes by the gnomon; describes climates; shows how ordinary may be converted into sidereal time; gives reasons for preferring the tropical to the sidereal year; furnishes the solar theory on the principle of the sun's orbit being a simple eccentric; explains the equation of time; advances to the discussion of the motions of the moon; treats of the first inequality, of her eclipses, and the motion of the node. It then gives Ptolemy's own great discovery—that which has made his name immortal—the discovery of the moon's evection or second inequality, reducing it to the epicyclic theory. It attempts the determination of the distances of the sun and moon from the earth, with, however, only partial success, since it makes the sun's distance but one-twentieth of the real amount. It considers the precession of the equinoxes, the discovery of Hipparchus, the full period for which is twenty-five thousand years. It gives a catalogue of 1,022 stars; treats of the nature of the Milky Way; and discusses, in the most masterly manner, the motions of the planets. This point constitutes Ptolemy's second claim to scientific fame. His determination of the planetary orbits was accomplished by comparing his own observations with those of former astronomers, especially with those of Timochares on Venus.

To Ptolemy we are also indebted for a work on Geography used in European schools as late as the fifteenth century. The known world to him was from the Canary Islands eastward to China, and from the equator northward to Caledonia. His maps, however, are very erroneous; for, in the attempt to make them correspond to the spherical figure of the earth, the longitudes are too much to the east; the Mediterranean Sea is twenty degrees too long. Ptolemy's determinations are, therefore, inferior in accuracy to those of his illustrious predecessor Eratosthenes, who made the distance from the sacred promontory in Spain to the eastern mouth of the Ganges to be seventy thousand stadia. Ptolemy also wrote on Optics, the Planisphere, and Astrology. It is not often given to an author to endure for so many ages; perhaps, indeed, few deserve it. The mechanism of the heavens, from his point of view, has however, been greatly misunderstood. Neither he nor Hipparchus ever intended that theory as anything more than a geometrical fiction. It is not to be regarded as a representation of the actual celestial motions. And, as might be expected, for such is the destiny of all unreal abstractions, the theory kept advancing in complexity as facts accumulated, and was on the point of becoming altogether unmanageable, when it was supplanted by the theory of universal gravitation, which has ever exhibited the inalienable attribute of a true theory—affording an explanation of every new fact as soon as it was discovered, without requiring to be burdened with new provisions, and prophetically foretelling phenomena which had not as yet been observed.

From the time of the Ptolemies the scientific spirit of the Alexandrian school declined; for though such mathematicians as Theodosius, whose work on Spherical Geometry was greatly valued by the Arab geometers; and Pappus, whose mathematical collections, in eight books, still for the most part remain; and Theon, doubly celebrated for his geometrical attainments, and as being the father of the unfortunate Hypatia, A.D. 415, lived in the next three centuries, they were not men like their great predecessors. That mental strength which gives birth to original discovery had passed away. The commentator had succeeded to the philosopher. No new development illustrated the physical sciences; they were destined long to remain stationary. Mechanics could boast of no trophy like the proposition of Archimedes on the equilibrium of the lever; no new and exact ideas like those of the same great man on statical and hydrostatical pressure; no novel and clear views like those developed in his treatise on floating bodies; no mechanical invention like the first of all steam-engines—that of Hero. Natural Decline of the Greek age of Reason. Philosophy had come to a stop. Its great, and hitherto successfully cultivated department, Astronomy, exhibited no farther advance. Men were content with what had been done, and continued to amuse themselves with reconciling the celestial phenomena to a combination of equable circular motions. To what are we to attribute this pause? Something had occurred to enervate the spirit of science. A gloom had settled on the Museum.

There is no difficulty in giving an explanation of this unfortunate condition. Greek intellectual life had passed the period of its maturity, and was entering on old age. Moreover, the talent which might have been devoted to the service of science was in part allured to another pursuit, and in part repressed. Alexandria had sapped Athens, and in her turn Alexandria was sapped by Rome. From metropolitan pre-eminence she had sunk to be a mere provincial town. The great prizes of life were not so likely to be met with in such a declining city as in Italy or, subsequently, in Constantinople. Whatever affected these chief centres of Roman activity, necessarily influenced her; but, such is the fate of the conquered, she must await their decisions. In the very institutions by which she had once been glorified, success could only be attained by a conformity to the manner of thinking fashionable in the imperial metropolis, and the best that could be done was to seek distinction in the path so marked out. Yet even with all this restraint Alexandria asserted her intellectual power, leaving an indelible impress on the new theology of her conquerors. During three centuries the intellectual atmosphere of the Roman empire had been changing. Men were unable to resist the steadily increasing pressure. Tranquillity could only be secured by passiveness. Things had come to such a state that the thinking of men was to be done for them by others, or, if they thought at all, it must be in accordance with a prescribed formula or rule. Greek intellect was passing into decrepitude, and the moral condition of the European world was in antagonism to scientific progress.