Thus the Romans were the first to bring the scientific knowledge of the Greeks into practical use; but while they measured the year with a great approximation to accuracy, they still used sun-dials and water-clocks to measure diurnal time. And even these were not constructed as they should have been. The hours on the sun-dial were all made equal, instead of varying with the length of the day, so that the hour varied with the length of the day. The illuminated interval was divided into twelve equal parts, so that, if the sun rose at five A.M. and set at eight P.M., each hour was equal to eighty minutes. And this rude method of measurement of diurnal time remained in use till the sixth century. But clocks, with wheels and weights, were not invented till the twelfth century.

The earlier Greek astronomers did not attempt to fix the order of the planets; but when geometry was applied to celestial movements, the difference between the three superior planets and the two inferior was perceived, and the sun was placed in the midst between them, so that the seven movable heavenly bodies were made to succeed one another in the following order: 1. Saturn; 2. Jupiter; 3. Mars; 4. The Sun; 5. Venus; 6. Mercury; 7. The Moon. Archimedes adopted this order, which was followed by the leading philosophers. [Footnote: Lewis, p. 247.]

[Sidenote: Ptolemy and his system.]

The last great light among the ancients in astronomical science was Ptolemy, who lived from 100 to 170 A.D. in Alexandria. He was acquainted with the writings of all the previous astronomers, but accepted Hipparchus as his guide. He held that the heaven is spherical and revolves upon its axis; that the earth is a sphere, and is situated within the celestial sphere, and nearly at its centre; that it is a mere point in reference to the distance and magnitude of the fixed stars, and that it has no motion. He adopted the views of the ancient astronomers, who placed Saturn, Jupiter, and Mars next under the sphere of the fixed stars, then the sun above Venus and Mercury, and lastly the moon next to the earth. But he differed from Aristotle, who conceived that the earth revolves in an orbit round the centre of the planetary system, and turns upon its axis--two ideas in common with the doctrines which Copernicus afterward unfolded. But even he did not conceive the heliocentric theory that the sun is the centre of the universe. Archimedes and Hipparchus both rejected this theory.

In regard to the practical value of the speculations of the ancient astronomers, it may be said that, had they possessed clocks and telescopes, their scientific methods would have sufficed for all practical purposes. The greatness of modern discoveries lies in the great stretch of the reasoning powers, and the magnificent field they afford for sublime contemplation. "But," as Sir G. Cornwall Lewis remarks, "modern astronomy is a science of pure curiosity, and is directed exclusively to the extension of knowledge in a field which human interests can never enter. The periodic time of Ura.n.u.s, the nature of Saturn's ring, and the occupation of Jupiter's satellites, are as far removed from the concerns of mankind as the heliacal rising of Sirius, or the northern position of the Great Bear." This may seem to be a utilitarian view with which those philosophers, who have cultivated science for its own sake, finding in the same a sufficient reward, as in truth and virtue, can have no sympathy.

[Sidenote: Result of ancient investigations.]

The upshot of the scientific attainments of the ancients, in the magnificent realm of the heavenly bodies, would seem to be that they laid the foundation of all the definite knowledge which is useful to mankind; while in the field of abstract calculation they evinced reasoning and mathematical powers which have never been surpa.s.sed.

Eratosthenes, Archimedes, and Hipparchus were geniuses worthy to be placed by the side of Kepler, Newton, and La Place. And all ages will reverence their efforts and their memory. It is truly surprising that, with their imperfect instruments, and the absence of definite data, they reached a height so sublime and grand. They explained the doctrine of the sphere and the apparent motions of the planets, but they had no instruments capable of measuring angular distances. The ingenious epicycles of Ptolemy prepared the way for the elliptic orbits and laws of Kepler, which, in turn, conducted Newton to the discovery of the laws of gravitation--the grandest scientific discovery in the annals of our race.

[Sidenote: Geometry.]

[Sidenote: Ancient Greek geometers.]

[Sidenote: Euclid.]

[Sidenote: Archimedes.]

Closely connected with astronomical science was geometry, which was first taught in Egypt,--the nurse and cradle of ancient wisdom. It arose from the necessity of adjusting the landmarks, disturbed by the inundations of the Nile. Thales introduced the science to the Greeks. He applied a circle to the measurement of angles. Anaximander invented the sphere, the gnomon, and geographical charts, which required considerable geometrical knowledge. Anaxagoras employed himself in prison in attempting to square the circle. Pythagoras discovered the important theorem that in a right-angled triangle the squares on the sides containing the right angle are together equal to the square on the opposite side of it. He also discovered that of all figures having the same boundary, the circle among plane figures and the sphere among solids, are the most capacious. The theory of the regular solids was taught in his school, and his disciple, Archytas, was the author of a solution of the problem of two mean proportionals. Democritus of Abdera treated of the contact of circles and spheres, and of irrational lines and solids. Hippocrates treated of the duplication of the cube, and wrote elements of geometry, and knew that the area of a circle was equal to a triangle whose base is equal to its circ.u.mference, and alt.i.tude equal to its radius. The disciples of Plato invented conic sections, and discovered the geometrical loci. They also attempted to resolve the problems of the trisection of an angle and the duplication of a cube. To Leon is ascribed that part of the solution of a problem, called its _determination_, which treats of the cases in which the problem is possible, and of those in which it cannot be resolved. Euclid has almost given his name to the science of geometry. He was born B.C. 323, and belonged to the Platonic sect, which ever attached great importance to mathematics. His "Elements" are still in use, as nearly perfect as any human production can be. They consist of thirteen books,--the first four on plane geometry; the fifth is on the theory of proportion, and applies to magnitude in general; the seventh, eighth, and ninth are on arithmetic; the tenth on the arithmetical characteristics of the division of a straight line; the eleventh and twelfth on the elements of solid geometry; the thirteenth on the regular solids. These "Elements"

soon became the universal study of geometers throughout the civilized world. They were translated into the Arabic, and through the Arabians were made known to mediaeval Europe. There can be no doubt that this work is one of the highest triumphs of human genius, and has been valued more than any single monument of antiquity. It is still a text-book, in various English translations, in all our schools. Euclid also wrote various other works, showing great mathematical talent. But, perhaps, a greater even than Euclid was Archimedes, born 287 B.C., who wrote on the sphere and cylinder, which terminate in the discovery that the solidity and surface of a sphere are respectively two thirds of the solidity and surface of the circ.u.mscribing cylinder. He also wrote on conoids and spheroids. "The properties of the spiral, and the quadrature of the parabola were added to ancient geometry by Archimedes, the last being a great step in the progress of the science, since it was the first curvilineal s.p.a.ce legitimately squared." Modern mathematicians may not have the patience to go through his investigations, since the conclusions he arrived at may now be reached by shorter methods, but the great conclusions of the old geometers were only reached by prodigious mathematical power. Archimedes is popularly better known as the inventor of engines of war, and various ingenious machines, than as a mathematician, great as were his attainments. His theory of the lever was the foundation of statics, till the discovery of the composition of forces in the time of Newton, and no essential addition was made to the principles of the equilibrium of fluids and floating bodies till the time of Stevin in 1608. He detected the mixture of silver in a crown of gold which his patron, Hiero of Syracuse, ordered to be made, and he invented a water-screw for pumping water out of the hold of a great ship he built. He used also a combination of pulleys, and he constructed an orrery to represent the movement of the heavenly bodies. He had an extraordinary inventive genius for discovering new provinces of inquiry, and new points of view for old and familiar objects. Like Newton, he had a habit of abstraction from outward things, and would forget to take his meals. He was killed by Roman soldiers when Syracuse was taken, and the Sicilians so soon forgot his greatness that in the time of Cicero they did not know where his tomb was. [Footnote: See article in Smith's _Dictionary_, by Prof. Darkin, of Oxford.]

[Sidenote: Eratosthenes.]

Eratosthenes was another of the famous geometers of antiquity, and did much to improve geometrical a.n.a.lysis. He was also a philosopher and geographer. He gave a solution of the problem of the duplication of the cube, and applied his geometrical knowledge to the measurement of the magnitude of the earth--one of the first who brought mathematical methods to the aid of astronomy, which, in our day, is almost exclusively the province of the mathematician.

[Sidenote: Apollonius of Perga.]

Apollonius of Perga, probably about forty years younger than Archimedes, and his equal in mathematical genius, was the most fertile and profound writer among the ancients who treated of geometry. He was called the Great Geometer. His most important work is a treatise on conic sections, regarded with unbounded admiration by contemporaries, and, in some respects, unsurpa.s.sed by any thing produced by modern mathematicians.

He, however, made use of the labors of his predecessors, so that it is difficult to tell how far he is original. But all men of science must necessarily be indebted to those who have preceded them. Even Homer, in the field of poetry, made use of the bards who had sung for a thousand years before him. In the realms of philosophy the great men of all ages have built up new systems on the foundations which others have established. If Plato or Aristotle had been contemporaries with Thales, would they have matured so wonderful a system of dialectics? and if Thales had been contemporaneous with Plato, he might have added to his sublime science even more than Aristotle. So of the great mathematicians of antiquity; they were all wonderful men, and worthy to be cla.s.sed with the Newtons and Keplers of our times. Considering their means, and the state of science, they made as _great_, though not as _fortunate_ discoveries--discoveries which show patience, genius, and power of calculation. Apollonius was one of these--one of the master intellects of antiquity, like Euclid and Archimedes--one of the master intellects of all ages, like Newton himself. I might mention the subjects of his various works, but they would not be understood except by those familiar with mathematics. [Footnote: See Bayle's _Dict_.; Bossuet, _Essai sur L'Hist. Gen. des Math_.; Simson's _Sectiones Conicae_.]

[Sidenote: Cultivation of geometry by the Greeks.]

Other famous geometers could also be mentioned, but such men as Euclid, Archimedes, and Apollonius are enough to show that geometry was cultivated to a great extent by the philosophers of antiquity. It progressively advanced, like philosophy itself, from the time of Thales, until it had reached the perfection of which it was capable, when it became merged into astronomical science. It was cultivated more particularly by the disciples of Plato, who placed over his school this inscription, "Let no one ignorant of geometry enter here." He believed that the laws by which the universe is governed are in accordance with the doctrines of mathematics. The same opinion was shared by Pythagoras, the great founder of the science, whose great formula was, that number is the essence or first principle of all things. No thinkers ever surpa.s.sed the Greeks in originality and profundity, and mathematics, being highly prized by them, were carried to the greatest perfection their method would allow. They did not understand algebra, by the application of which to geometry modern mathematicians have climbed to greater heights than the ancients. But then it is all the more remarkable that, without the aid of algebraic a.n.a.lysis, they were able to solve such difficult problems as occupied the minds of Archimedes and Apollonius. No positive science can boast of such rapid development as geometry for two or three hundred years before Christ, and never was the intellect of man more severely tasked than by the ancient mathematicians.

[Sidenote: Empirical sciences.]

No empirical science can be carried to perfection by any one nation or in any particular epoch. It can only expand with the progressive developments of the human race itself. Nevertheless, in that science which for three thousand years has been held in the greatest honor, and which is one of the three great liberal professions of our modern times, the ancients, especially the Greeks, made considerable advance. The science of medicine, having in view the amelioration of human misery, and the prolongation of life itself, was very early cultivated. It was, indeed, in old times, another word for _physics_,--the science of nature,--and the _physician_ was the observer and expounder of physics. The physician was supposed to be acquainted with the secrets of nature--that is, the knowledge of drugs, of poisons, of antidotes to them, and the way to administer them. He was also supposed to know the process of preserving the body after death. Thus Joseph commanded his physician to embalm the body of his father seventeen hundred years before the birth of Christ, and the process of embalming was probably known to the Egyptians beyond the period when history begins. Helen, of Trojan fame, put into wine a drug that "frees man from grief and anger and causes oblivion of all ills." [Footnote: _Odyssey_, b. iv.]

Solomon was a great botanist, with which the science of medicine is indissolubly connected. The "Ayur Veda," written nine hundred years before Hippocrates was born, sums up the knowledge of previous periods relating to obstetric surgery, to general pathology, to the treatment of insanity, to infantile diseases, to toxicology, to personal hygiene, and to diseases of the generative functions. [Footnote: Wise, _On the Hindu System of Medicine_, p. 12.] The origin of Hindu medicine is lost in remote antiquity.

[Sidenote: Hippocrates.]

Thus Hippocrates, the father of European medicine, must have derived his knowledge, not merely from his own observations, but from the writings of men unknown to us, and systems practiced for an indefinite period.

The real founders of Greek medicine are fabled characters, like Hercules and Aesculapius--that is, benefactors whose names have not descended to us. They are mythical personages, like Hermes and Chiron. One thousand two hundred years before Christ temples were erected to Aesculapius in Greece, the priests of which were really physicians, and the temples themselves were hospitals. In them were practiced rites apparently mysterious, but which modern science calls by the names of mesmerism, hydropathy, mineral springs, and other essential elements of empirical science. And these temples were also medical schools. That of Cos gave birth to Hippocrates, and it was there that his writings were commenced.

Pythagoras--for those old Grecian philosophers were the fathers of all wisdom and knowledge, in mathematics and empirical sciences, as well as philosophy itself--studied medicine in the schools of Egypt, Phoenicia, Chaldea, and India, and came in conflict with sacerdotal power, which has ever been antagonistic to new ideas in science. He traveled from town to town as a teacher or lecturer, establishing communities in which medicine as well as numbers was taught.

The greatest name in medical science, in ancient or in modern times,-- the man who did the most to advance it; the greatest medical genius of whom we have record,--is Hippocrates, born on the island of Cos B.C.

460, of the great Aesculapian family, and was instructed by his father.

We know scarcely more of his life than we do of Homer himself, although he lived in the period of the highest splendor of Athens. And his writings, like those of Homer, are thought by some to be the work of different men. They were translated into Arabic, and were no slight means of giving an impulse to the Saracenic schools of the Middle Ages in that science in which the Saracens especially excelled. The Hippocratic collection consists of more than sixty works, which were held in the highest estimation by the ancient physicians. Hippocrates introduced a new era in medicine, which, before his time, had been monopolized by the priests. He carried out a system of severe induction from the observation of facts, and is as truly the creator of the inductive method as Bacon himself. He abhorred theories which could not be established by facts. He was always open to conviction, and candidly confessed his mistakes. He was conscientious in the practice of his profession, and valued the success of his art more than silver and gold.

The Athenians revered him for his benevolence as well as genius. The great principle of his practice was trust in nature. Hence he was accused of allowing his patients to die; but this principle has many advocates among scientific men in our day, and some suppose the whole philosophy of homeopathy rests on the primal principle which Hippocrates advanced. He had great skill in diagnosis, by which medical genius is most severely tested. His practice was cautious and timid in contrast with that of his contemporaries. He is the author of the celebrated maxim, "Life is short and art is long." He divides the causes of disease into two princ.i.p.al cla.s.ses,--the one comprehending the influence of seasons, climates, and other external forces; the other from the effects of food and exercise. To the influence of climate he attributes the conformation of the body and the disposition of the mind. He also attributes all sorts of disorders to a vicious system of diet. For more than twenty centuries his pathology was the foundation of all the medical sects. He was well acquainted with the medicinal properties of drugs, and was the first to a.s.sign three periods to the course of a malady. He knew, of course, but little of surgery, although he was in the habit of bleeding, and often employed his knife. He was also acquainted with cupping, and used violent purgatives. He was not aware of the importance of the pulse, and confounded the veins with the arteries. He wrote in the Ionic dialect, and some of his works have gone through three hundred editions, so highly have they been valued. His authority pa.s.sed away, like that of Aristotle, on the revival of European science. Yet who have been greater ornaments and lights than these distinguished Greeks?

[Sidenote: Galen.]

The school of Alexandria produced eminent physicians, as well as mathematicians, after the glory of Greece had departed. So highly was it esteemed that Galen went there to study five hundred years after its foundation. It was distinguished for inquiries into scientific anatomy and physiology, for which Aristotle had prepared the way. He was the Humboldt of his day, and gave great attention to physics. In eight books he developed the general principles of natural science known to the Greeks. On the basis of the Aristotelian researches, the Alexandrian physicians carried out extensive inquiries in physiology. Herophilus discovered the fundamental principles of neurology, and advanced the anatomy of the brain and spinal cord.

[Sidenote: Medical science among the Romans.]

Although the Romans had but little sympathy for science or philosophy, being essentially political and warlike in their turn of mind, yet when they had conquered the world, and had turned their attention to arts, medicine received great attention. The first physicians were Greek slaves. Of these was Asclepiades, who enjoyed the friendship of Cicero.

It is from him that the popular medical theories as to the "pores" have descended. He was the inventor of the shower-bath. Celsus wrote a work on medicine which takes almost equal rank with the Hippocratic writings.

Medical science at Rome culminated in Galen, as it did at Athens in Hippocrates. He was patronized by Marcus Aurelius, and availed himself of all the knowledge of preceding naturalists and physicians. He was born at Pergamus about the year A.D. 165, where he learned, under able masters, anatomy, pathology, and therapeutics. He finished his studies at Alexandria, and came to Rome at the invitation of the emperor. Like his patron, he was one of the brightest ornaments of the heathen world, and one of the most learned and accomplished men of any age.

"_Medicorum dissertissimus atque doctissimus_." [Footnote: St.

Jerome, _Comment. in Aoms_, c. 5, vol. vi.] He left five hundred treatises, most of them relating to some branch of medical science, which give him the merit of being one of the most voluminous of authors.

His celebrity is founded chiefly on his anatomical and physiological works. He was familiar with practical anatomy, deriving his knowledge from dissection. His observations about health are practical and useful.

He lays great stress on gymnastic exercises, and recommends the pleasures of the chase, the cold bath in hot weather, hot baths to old people, the use of wine, three meals a day, and pork as the best of animal food. The great principles of his practice were that disease is to be overcome by that which is contrary to the disease itself, and that nature is to be preserved by that which has relation with nature. As disease cannot be overcome so long as its cause exists, that, if possible, was first to be removed, and the strength of the patient is to be considered before the treatment is proceeded with. His "Commentaries on Hippocrates" served as a treasure of medical criticism, from which succeeding annotators borrowed. No one ever set before the medical profession a higher standard than Galen, and few have more nearly approached it. He did not attach himself to any particular school, but studied the doctrines of each--an eclectic in the fullest sense.

[Footnote: See Leclerc, _Hist. de la Medicine_; Hartt Shoengel, _Geschichte der Arzneykunde_. W. A. Greenhill, M.D., of Oxford, has a very learned article in Smith's _Dictionary_.] The works of Galen const.i.tuted the last production of ancient Roman medicine, and from his day the decline in medical science was rapid, until it was revived among the Arabs.

The physical sciences, it must be confessed, were not carried by the ancients to any such length as geometry and astronomy. In physical geography they were particularly deficient. Yet even this branch of knowledge can boast of some eminent names. When men sailed timidly on the coasts, and dared not explore distant seas, the true position of countries could not be ascertained with the definiteness that it is at present. But geography was not utterly neglected, nor was natural history.

[Sidenote: Physical geography.]

Herodotus gives us most valuable information respecting the manners and customs of oriental and barbarous nations, and Pliny has written a natural history, in thirty-seven books, which is compiled from upwards of two thousand volumes, and refers to twenty thousand matters of importance. He was born A.D. 23, and was fifty-three when the eruption of Vesuvius took place which caused his death. Pliny cannot be called a scientific genius, in the sense understood by modern savants; nor was he an original observer. His materials are drawn up second hand, like a modern encyclopedia. Nor did he evince great judgment in his selection.

He had a great love of the marvelous, and is often unintelligible. But his work is a wonderful monument of human industry. It treats of every thing in the natural world--of the heavenly bodies, of the elements, of thunder and lightning, of the winds and seasons, of the changes and phenomena of the earth, of countries and nations, seas and rivers, of men, animals, birds, fishes, and plants, of minerals and medicines and precious stones, of commerce and the fine arts. He is full of errors; but his work is among the most valuable productions of antiquity. Buffon p.r.o.nounced his natural history to contain an infinity of knowledge in every department of human occupation, conveyed in a dress ornate and brilliant. It is a literary rather than a scientific monument, and as such it is wonderful--a compilation from one hundred and sixty volumes of notes. In strict scientific value, it is inferior to the works of modern research; but there are few minds, even in these times, who have directed inquiries to such a variety of subjects.

[Sidenote: Strabo.]

[Sidenote: Construction of maps.]

[Sidenote: Ptolemy.]

Geographical knowledge was advanced by Strabo, who lived in the Augustan era; but researches were chiefly confined to the Roman empire. Strabo was, like Herodotus, a great traveler, and much of his geographical information is the result of his own observations. It is probable he is much indebted to Eratosthenes, who preceded him by three centuries, and who was the first systematic writer on geography. The authorities of Strabo are chiefly Greek, but his work is defective, from the imperfect notions which the ancients had of astronomy; so that the determination of the earth's figure by the measure of lat.i.tude and longitude, the essential foundations of geographical description, was unknown. The enormous strides, which all forms of physical science have made since the discovery of America, throw all ancient descriptions and investigations into the shade, and Strabo appears at as great disadvantage as Pliny or Ptolemy; yet the work of Strabo, considering his means, and the imperfect knowledge of the earth's surface, and astronomical science, was really a great achievement of industry. He treats of the form and magnitude of the earth, and devotes eight books to Europe, six to Asia, and one to Africa. His great authorities are Eratosthenes, Polybius, Aristotle, Antiochus of Syracuse, Posidonius, Theopompus, Artemidorus Ephorus, Herodotus, Anaximenes, Thucydides, and Aristo, chiefly historians and philosophers. Whatever may be said of the accuracy of the great geographer of antiquity, it cannot be denied that he was a man of immense research and learning. His work in seventeen books is one of the most valuable which have come down from antiquity, both from the discussions which run through it, and the curious facts which can be found nowhere else. It is scarcely fair to estimate the genius of Strabo by the correctness and extent of his geographical knowledge. All men are lost in science, and science is progressive. The great scientific lights of our day may be insignificant, compared with those who are to arise, if profundity and accuracy of knowledge is the test. It is the genius of the ancients, their grasp and power of mind, their original labors which we are to consider. Anaxagoras was one of the greatest philosophical geniuses of all ages; but, as philosophy is a science, and is progressive, his knowledge could not be compared with that of Aristotle. Again, who doubts the original genius and grasp of Aristotle, but what was he, in accuracy of knowledge and true method, in comparison with the savants of the nineteenth century; yet, it would be difficult to show that Aristotle was inferior to Bacon or Cuvier, or Stuart Mill. If, however, we would compare the geographical knowledge of the ancients with that of the moderns, we confess to the immeasurable inferiority of the ancients in this branch. When Eratosthenes began his labors, it was known that the surface of the earth was spherical. He established parallels of lat.i.tude and longitude, and attempted the difficult undertaking of measuring the circ.u.mference of the globe by the actual measurement of a segment of one of its great circles. Posidonius determined the arc of a meridian between Rhodes and Alexandria to be a forty-eighth part of the whole circ.u.mference--an enormous calculation, yet a remarkable one in the infancy of astronomical science. Hipparchus introduced into geography a great improvement, namely, the relative situation of places, by the same process that he determined the positions of the heavenly bodies. He also pointed out how longitude might be determined by observing the eclipses of the sun and moon. This led to the construction of maps; but none have reached us except those which were used to ill.u.s.trate the geography of Ptolemy. Hipparchus was born B.C. 276, the first who raised geography to the rank of a science.

He starved himself to death, being tired of life, like Eratosthenes, more properly an astronomer, and the most distinguished among the ancients, born about 160 B.C., although none of his writings have reached us. The improvements he pointed out were applied by Ptolemy himself, an astronomer who flourished about the year 160 at Alexandria.

His work was a presentation of geographical knowledge known in his day, so far as geography is the science of determining the position of places on the earth's surface. The description of places belongs to Strabo. His work was accepted as the textbook of the science till the fifteenth century, for in his day the Roman empire had been well surveyed. He maintained that the earth is _spherical_, and introduced the terms _longitude_ and _lat.i.tude_, which Eratosthenes had established, and computed the earth to be one hundred and eighty thousand stadia in circ.u.mference, and a degree five hundred stadia in length, or sixty-two and a half Roman miles. His estimates of the length of a degree of lat.i.tude were nearly correct; but he made great errors in the degrees of longitude, making the length of the world from east to west too great, which led to the belief in the practicability of a western pa.s.sage to India. He also a.s.signed too great length to the Mediterranean, arising from the difficulty of finding the longitude with accuracy. But it was impossible, with the scientific knowledge of his day, to avoid errors, and we are surprised that he made so few.

REFERENCES.--An exceedingly learned work has recently been issued in London, by Parker and Son, on the Astronomy of the Ancients, by Sir George Cornwall Lewis, though rather ostentatious in his parade of authorities, and minute on points which are not of much consequence.

Delambre's History of Ancient Astronomy has long been a cla.s.sic, but richer in materials for a history than a history itself. There is a valuable essay in the Encyclopedia Britannica, which refers to a list of authors, among which are Biccoli, Weilder, Bailly, Playfair, La Lande.

Lewis makes much reference to Macrobius, Vitruvius, Diogenes Laertius, Plutarch, and Suidas, among the ancients, and to Ideler, Unters. uber die Art. Beob. der Alten.

Whewell's History of the Inductive Sciences may also be consulted with profit. Leclerc, Hist, de Med.; Spengel, Gesch. der Arzneykunde.

Strabo's Geography is the most valuable of Antiquity. See also Polybius.

[Relocated Footnote: The style of modern historical criticism may thus be exemplified, like the discussions of the Germans, whether the Arx on the Capitoline Hill occupied the northeastern or southwestern corner, which take up nearly one half of the learned article in Smith's Dictionary, on the Capitoline. "Thales supposed the earth to float on the water, like a plank of wood": [Greek: oi d hudatos keisthai touton gar archaiotaton pareilaephamen ton logon hon phasin eipein thalae ton Milaesion]. Aristot., _De Coel_., ii. 13: "_Quoe sequitur Thaletis ineptq sententia est. Ait enim terrarum orbem aqua sustineri._" Seneca, _Nat. Quoest_., iii. 13. This notion is mentioned in _Schol. Iliad_, xiii. 125. This doctrine Thales brought from Egypt. See Plut., _Pac_., in. 10; Galen, c. 21. But this maybe doubted. Callimach., _Frag_., 94; Hygin, _Poet. Astr_., ii. 2; Martin, _Timee de Platon_., tom. ii. p.

109, thinks it questionable whether Thales saw Egypt. Diog. Laert., viii. 60. Compare, however, Sturz, _Thales_, p. 80; Proclus, _in Tim_., i. p. 40; _Schol. Aristophanes, Nub_., ii. 31; Varro, ii. vi. 10. See also, _Ideler Chron_., vol. i. p. 300. But Brandis sheds light upon the point, though his suggestions conflict with Origen, _Phil_., p. 11; also with Aristotle, _De Coel_., ii. 13.

This style of expending learning on nothing, meets with great favor with the pedants, who attach no value to history unless one half of the page is filled with erudite foot-notes which few can verify, and which prove nothing, or nothing of any consequence.]