Treatise in A Sentence

    1

    A fragment of Clement, quoted by Antonius Melissa, is most probably taken from the treatise on slander.

    2

    A learned treatise on the reformation of the calendar, written by him about the same time, is also preserved in the Ashmolean Library at Oxford.

    3

    A long treatise on geometry, attributed to Gerbert, is of somewhat doubtful authenticity.

    4

    A notable one was the Epistles of Phalaris, a late Greek forgery, demonstrated to be such by Bentley in a treatise which is a model of what such a demonstration should be.

    5

    A second and considerably enlarged edition of this very remarkable treatise was published as a separate work in the following year.

    6

    A short treatise which was printed in 1609, Grotius says without his permission, under the title of Mare liberum, is nothing more than a chapter - the 12th - of the De jure praedae.

    7

    A single work detains us in the 13th century, a treatise on medicine2 by Henrik Harpestreng, who died in 1244.

    8

    A treatise entitled De ultima aetate ecclesiae, which appeared in 1356, has been attributed to Wycliffe, but is undoubtedly from the pen of an anonymous Joachimite Franciscan.

    9

    A treatise entitled The Atonement; its Reality, Completeness and Extent (1861) was based upon a smaller work which first appeared in 1845.

    10

    A treatise on accents is ascribed to Priscian, but is rejected by modern writers on the ground of matter and language.

    11

    A treatise on the analysis of thought (Sur la decomposition de la pensee), although sent to press, was never printed.

    12

    A treatise on the diseases of women, contained in the Hippocratic collection, and of remarkable practical v alue, is attributed to this school.

    13

    A treatise, Sur la destruction des Jesuites (1765), involved him in a fresh controversy, his own share in which was rendered very easy by the violence and extravagance of his adversaries.

    14

    A very elaborate treatise from the Catholic standpoint is that of Cardinal Bellarmine, De purgatorio.

    15

    About the same time Marsilio completed and published his treatise on the Platonic doctrine of immortality (Theologia Platonica de immortalitate animae), the work by which his claims to take rank as a philosopher must be estimated.

    16

    About the year 260 an Egyptian bishop, Nepos, in a treatise called 'XEyxos 6,XX yoptarCnv, endeavoured to overthrow the Origenistic theology and vindicate chiliasm by exegetical methods.

    17

    According to the historical compilation which passes under the name of Zacharias Rhetor, he also wrote a treatise on the faith.

    18

    Accordingly, every treatise on applied mathematics, properly so-called, is directed to the criticism of the "laws" from which the reasoning starts, or to a suggestion of results which experiment may hope to find.

    19

    After a period of work in Holland he betook himself to England, where his treatise on lettres de cachet had been much admired, being translated into English in 1787, and where he was soon admitted into the best Whig literary and political society of London, through his old schoolfellow Gilbert Elliot, who had now inherited his father's baronetcy and estates, and become a leading Whig member of parliament.

    20

    After his death (which occurred soon after that of his friend) these were purchased by Dr Worthington, of Cambridge; and from his hands the treatise Venus in sole visa passed into those of Hevelius, and was published by him in 1662 with his own observations on a transit of Mercury.

    21

    After his death restorations of Apollonius's treatise De sectione determinata and of Euclid's treatise De porismatibus were printed for private circulation in xxv.

    22

    After his retirement from official life he published an excellent popular treatise on The Stars (1901).

    23

    After his surrender in 1847 he devoted himself anew to theology and philosophy, and composed a philosophical treatise, of which a French translation was published in 1858 under the title of Rappel d l'intelligent.

    24

    After his translation to Ely (1609), he again controverted Bellarmine in the Responsio ad Apologiam, a treatise never answered.

    25

    After holding a school mastership and two curacies, he was made rector of St Martin's Orgar in London in 1628, where he took a leading part in the contest between the London clergy and the citizens about the city tithes, and compiled a treatise on the subject, which is printed in Brewster's Collectanea (1752).

    26

    After the first Diet of Spires (1526), where a precarious peace was patched up for the reformed faith, Melanchthon was deputed as one of twenty-eight commissioners to visit the reformed states and regulate the constitution of churches, he having just published a famous treatise called the Libellus visitatorius, a directory for the use of the commissioners.

    27

    After the publication of the Treatise Hume retired to his brother's house at Ninewells and carried on his studies, mainly in the direction of politics and political economy.

    28

    After winning some academic prizes, Rivarol distinguished himself in the year 1784 by a treatise Sur l'universalite de la langue francaise, and by a translation of the Inferno.

    29

    Alberti wrote works on sculpture, Della Statua, and on painting, De Pictura, which are highly esteemed; but his most celebrated treatise is that on architecture, De Re Aedificatoria, which has been translated into Italian, French, Spanish and English.

    30

    Albertus Magnus, in his treatise De alchymia, informs us that there were two kinds of sal ammoniac, a natural and an artificial.

    31

    Alexander of Aphrodisias, who lived and wrote at Athens in the time of Septimius Severus, is best known by his commentaries on Aristotle, but also wrote a treatise on fevers, still extant.

    32

    All that is known of his work is through Jerome's treatise Contra Vigilantium, or, as that controversialist would seem to prefer saying, "Contra Dormitantium."

    33

    Also, while he may have hoped at this time to be able to add much (though he never did) to the sketch of his doctrine of Man contained in the unpublished " little treatise," he might extend, but could hardly otherwise modify, the sketch he had there given of his carefully articulated theory of Body Politic. Possibly, indeed, before that sketch was written early in 1640, he may, under pressure of the political excitement, have advanced no small way in the actual composition of the treatise De Cive, the third section of his projected system.

    34

    Although the heliocentric system is not mentioned in the treatise, a quotation in the Arenarius of Archimedes from a work of Aristarchus proves that he anticipated the great discovery of Copernicus.

    35

    Although the title of the poem implies that it is a treatise on the "whole nature of things," the aim of Lucretius is to treat only those branches of science which are necessary to clear the mind from the fear of the gods and the terrors of a future state.

    36

    Although the treatise IIEpi voivwv is doubtfully from the pen of Hippocrates, it contains strong evidence of having been the work of his grandson, representing the views of the Father of Medicine.

    37

    Ambrosius Macrobius Theodosius (c. 400) wrote a treatise on Cicero's Somnium Scipionis and seven books of miscellanies (Saturnalia); and Martianus Capella (c. 430), a native of Africa, published a compendium of the seven liberal arts, written in a mixture of prose and verse, with some literary pretensions.

    38

    Among his own productions are a treatise, De la morale des peres, a history of ancient treaties contained in the Supplement au grand corps diplomatique, and the curious Traite du jeu (1709), in which he defends the morality of games of chance.

    39

    Among Lessing's chief friends during his second residence in Berlin were the philosopher Moses Mendelssohn (1729-1786), in association with whom he wrote in 1755 an admirable treatise, Pope ein Metaphysiker 1 tracing sharply the lines which separate the poet from the philosopher.

    40

    Among other uses and consequences of his treatise, Collier thinks it furnishes an easy refutation of the Romish doctrine of transubstantiation.

    41

    Among the more important are Certayne Reasons why Cntholiques refuse to goe to Church (Douai, 1580), A Christian Directorie guiding Men to their Saluation (London, 1583-1591, 2 parts), A Conference about the Next Succession to the Crowne of Ingland (1594), Treatise of the Three Conversions of England (1603-1604, 3 parts), an answer to Foxe's Acts and Monuments.

    42

    Among the papers he had left behind at Ferrara was a treatise on "Contempt of the World," inveighing against the prevalent corruption and predicting the speedy vengeance of Heaven.

    43

    Among the works which he translated into Syriac and of which his versions survive are treatises of Aristotle, Porphyry and Galen, 3 the Ars grammatica of Dionysius Thrax, the works of Dionysius the Areopagite, and possibly two or three treatises of Plutarch.4 His own original works are less important, but include a " treatise on logic, addressed to Theodore (of Merv), which is unfortunately imperfect, a tract on negation and affirmation; a treatise, likewise addressed to Theodore, On the Causes of the Universe, according to the Views of Aristotle, showing how it is a Circle; a tract On Genus, Species and Individuality; and a third tract addressed to Theodore, On the Action and Influence of the Moon, explanatory and illustrative of Galen's IIEpi rcptaiµwv r t µepwv, bk.

    44

    An account of his theological position, derived from the treatise of Babhai De unione, will be found in Labourt, op. cit.

    45

    An Arabic version of the first was found towards the end of the 17th century in the Bodleian library by Dr Edward Bernard, who began a translation of it; Halley finished it and published it along with a restoration of the second treatise in 1706.3rd.

    46

    An English translation of the Theses, with brief life of Erastus (based on Melchior Adam's account), was issued in 1659, entitled The Nullity of Church Censures; it was reprinted as A Treatise of Excommunication (1682), and, as revised by Robert Lee, D.D., in 1844.

    47

    Anatomy began to be studied, and the time was not far distant when Titian should lend his pencil to the epoch-making treatise of Vesalius.

    48

    And in 1810, too, appeared his treatise on Farbenlehre.

    49

    Another indication of a treatise having arisen out of separate discourses is its consisting of different parts imperfectly connected.

    50

    Another treatise relates the destruction of mankind, and the circumstances that led to the creation of the heavens in the form of a cow.

    51

    Archaeological discoveries in India, Persia, Assyria and Egypt show that in the polished stone age quaternary man had domesticated the horse, while a Chinese treatise, the Goei-leaotse, the fifth book of the Vouking, a sort of military code dating from the reign of the emperor Hoang-Ti (2637 years B.C.), places the cavalry on the wings of the army.

    52

    Aristotle himself described the subject matter of the treatise as " First 1 On the true order of the Aristotelian treatises see Aristotle.

    53

    As a part of his penance Berengarius is said to have been compelled to burn publicly Erigena's treatise.

    54

    As a philosopher, he can advance no claim to originality, his laborious treatise on Platonic theology being little better than a mass of ill-digested erudition.

    55

    As a writer on field sports Xenophon was followed by Arrian, who in his Cynegeticus, in avowed dependence on his predecessor, seeks to supplement such deficiencies in the earlier treatise as arose from its author's unacquaintance with the dogs of Gaul and the horses of Scythia and Libya.

    56

    As an appendix to the latter appeared his De linearum geometricarum 'proprietatibus generalibus tractatus, a treatise of remarkable elegance.

    57

    As far as the circlesquaring functions are concerned, it would seem that Gregory was the first (in 1670) to make known the series for the arc in terms of the tangent, the series for the tangent in terms of the arc, and the secant in terms of the arc; and in 1669 Newton showed to Isaac Barrow a little treatise in manuscript containing the series for the arc in terms of the sine, for the sine in terms of the arc, and for the cosine in terms of the arc. These discoveries 1 See Euler, ” Annotationes in locum quendam Cartesii," in Nov.

    58

    As the terms Zoron and Aphron, used there to signify the south and north poles, are neither Latin nor Greek, Tiraboschi suggests that they may be of Arabian origin, and that the whole passage concerning the lodestone may have been added to the original treatise by the Arabian translators.

    59

    As then we find this identification of pleasure with activity in the Metaphysics and in the De Anima, as well as in the Nicomachean Ethics, the Eudemian Ethics and the Magna Moralia, the only logical conclusion, from which there is no escape, is that, so far as the treatment of pleasure goes, any Aristotelian treatise which defines it as activity is genuine.

    60

    At Clermont Conti had been a fellow student of Moliere's for whom he secured an introduction to the court of Louis XIV., but afterwards, when writing a treatise against the stage entitled Traite de la comedic et des spectacles scion les traditions de l'Eglise (Paris, 1667), he charged the dramatist with keeping a school of atheism.

    61

    At Giessen he lectured as an extraordinary professor, and at Gottingen, in 1824, published his treatise, Ueber das Wesen der Geschichte.

    62

    At the same time, as such prefaces are often forgeries, not prejudicing the body of the treatise, it does not really matter whether Aristotle actually dedicated his work to Alexander in that epistle about that year or not.

    63

    Athenaeus himself states that he was the author of a treatise on the thratta - a kind of fish mentioned by Archippus and other comic poets - and of a history of the Syrian kings, both of which works are lost.

    64

    Barbeyrac also translated Grotius's De Jure Belli et Pacis, Cumberland's De Legibus Naturae, and Pufendorf's smaller treatise De Officio Hominis et Civis.

    65

    Barlowe, in his treatise Magnetical Advertisements, printed in 1616 (p. 66), complains that "the Compasse needle, being the most admirable and usefull instrument of the whole world, is both amongst ours and other nations for the most part, so bungerly and absurdly contrived, as nothing more."

    66

    Because, then, the Magna Moralia is very like the Nicomachean Ethics, but more rudimentary, nearer to the Platonic dialogues in style and to a less degree in matter, and also like the Eudemian Ethics, we conclude that it is also like that treatise in having been written as an earlier draft of the Nicomachean Ethics by Aristotle himself.

    67

    Before him the whole Christian literature in the Latin language consisted of a translation of the Bible, the Octavius of Minucius Felix (q.v.) - an apologetic treatise written in the Ciceronian style for the higher circles of society, and with no evident effect for the church as a whole, the brief Acts of the Scillitan martyrs, and a list of the books recognized as canonical (the so-called Muratorian fragment).

    68

    Behind it (according to the Alexandrian treatise, known as pseudo-Callisthenes) were five native villages scattered along the strip between Lake Mareotis and the sea.

    69

    Benedictus, De observatione in pestilentia, 4to (Venice, 1 493); Nicolaus Massa, De febre pestilentia, 4to (Venice, 1556, &c.); Fioravanti, Regimento della peste, 8vo, Venice, 1556; John Woodall, The Surgeon's Mate, folio (London, 1639); Van Helmont, Tumulus pestis, 8vo (Cologne, 1644, &c.); Muratori, Trattato del governo della peste, Modena, 1714; John Howard, An Account of Lazarettoes in Europe, &c., 4to (London, 1789); Patrick Russell, A Treatise of the Plague, 4to (London, 1791); Thomas Hancock, Researches into the Laws of Pestilence, 8vo (London, 1821); Fodere, Lecons sur les epide'mies, &c., 4 vols.

    70

    Besides the works already noticed, Ficino composed a treatise on the Christian religion, which was first given to the world in 1476, a translation into Italian of Dante's De monarchia, a life of Plato, and numerous essays on ethical and semi-philosophical subjects.

    71

    Borelli (1608-1679), whose treatise De motu animalium, published in 1680, is regarded as marking an epoch in physiology.

    72

    But his assent to this was only extracted from him in 1540 by the importunities of his friends, especially of his enthusiastic disciple George Joachim Rheticus (1514-1576), who printed, in the Narratio prima (Danzig, 1540), a preliminary account of the Copernican theory, and simultaneously sent to the press at Nuremberg his master's complete exposition of it in the treatise entitled De revolutionibus orbium coelestium (1543).

    73

    But in 1681 Gerard Blasius had brought out at Amsterdam an Anatome Animalium, containing the results of all the dissections of animals that he could find; and the second part of this book, treating of Volatilia, makes a respectable show of more than one hundred and twenty closely-printed quarto pages, though nearly two-thirds is devoted to a treatise De Ovo et Pullo, containing among other things a reprint of Harvey's researches, and the scientific rank of the whole book may be inferred from bats being still classed with birds.

    74

    But that classification is founded on the absolute instead of the comparative motions of the pieces, and is, for that reason, defective, as Willis pointed out in his admirable treatise On the Principles of Mechanism.

    75

    But the main purport of the treatise was the exposition of an elaborate system of celestial harmonies depending on the various and varying velocities of the several planets, of which the sentient soul animating the sun was the solitary auditor.

    76

    But the theory, in a fully developed form, first appeared in 1873 in his great treatise on Electricity and Magnetism.

    77

    But though his book brought him no profit it brought him reputation, so widely spread, and of such long endurance, as no other legal treatise has ever enjoyed.

    78

    By far the best known of these is the treatise De catholicae ecclesiae unitate, called forth in A.D.

    79

    C. Maxwell, Treatise, § 643.

    80

    Cardan or Cardano, who was at that time writing his great work, the Ars Magna, could not restrain the temptation of crowning his treatise with such important discoveries, and in 1 545 he broke his oath and gave to the world Tartalea's rules for solving cubic equations.

    81

    Certain it is that he wrote a treatise on burning-glasses.

    82

    Chaderton published a sermon preached at St Paul's Cross about 1580, and a treatise of his On Justification was printed by Anthony Thysius, professor of divinity at Leiden.

    83

    Cicero's juvenile work de Inventione appears to be drawn partly from this and partly from a treatise by Hermagoras.

    84

    Coke published Institutes (1628), of which the first is also known as Coke upon Littleton; Reports (1600-1615), in thirteen parts; A Treatise of Bail and AI ainprize (1635); The Complete Copyholder (1630); A Reading on Fines and Recoveries (1684).

    85

    Colet (1510), the friend of Erasmus, whose treatise De pueris instituendis (1529) has its English counterpart in the Governor of Sir Thomas Elyot (1531).

    86

    Cooley, A Treatise on the Constitutional Limitations which rest upon the Legislative Power of the States of the A merican Union (6th ad., Boston, 1890) is one of the most useful secondary works.

    87

    Cooley's treatise on the American Law of Torts states that "the custom of the country, in some states enacted into statute law, requires that when teams approach and are about to pass on the highway, each shall keep to the right of the centre of the travelled portion of the road."

    88

    Cosimo employed almost the last hours of his life in listening to Ficino's reading of a treatise on the highest good; while Lorenzo, in a poem on true happiness, described him as the mirror of the world, the nursling of sacred muses, the harmonizer of wisdom and beauty in complete accord.

    89

    Devoting himself to the economic side of geology in various parts of North America, he was enabled to bring out in 1861 A Practical Treatise on Coal, Petroleum and other Distilled Oils.

    90

    Dodgson periodically published mathematical works - An Elementary Treatise on Determinants (1867); Euclid, Book V., proved Algebraically (1874); Euclid and his Modern Rivals (1879), the work on which his reputation as a mathematician largely rests; and Curiosa Mathematica (1888).

    91

    Doni's Works; he also published a treatise on The Theory of Numbers as applied to Music. His celebrated canons, published in London, about 1800, edited by Pio Cianchettini, show him to have had a strong sense of musical humour.

    92

    During his absence from England, early in the year 1748, the Philosophical Essays were published; but the first reception of the work was little more favourable than that accorded to the Treatise.

    93

    During the same year he published his celebrated treatise on The Scripture Doctrine of the Trinity.

    94

    Eight years before the death of Vegio, Aeneas Sylvius Piccolomini (Pius II.) had composed a brief treatise on education in the form of a letter to Ladislaus, the young king of Bohemia and Hungary.

    95

    Emile, the second title of which is De l'Education, is much more of a treatise than of a novel, though a certain amount of narrative interest is kept up throughout.

    96

    Engestriim, and was published in 1770 as an appendix to a treatise on mineralogy.

    97

    Eratosthenes is the author of a treatise which deals systematically with the geographical knowledge of his time, but of which only fragments have been preserved by Strabo and others.

    98

    Eratosthenes, who in the latter half of the and century B.C. was keeper of the famous Alexandrian library, not only made himself a great name by his important work on geography, but by his treatise entitled Chronographia, one of the first attempts to establish an exact scheme of general chronology, earned for himself the title of "father of chronology."

    99

    Eubulides wrote a treatise on Diogenes the Cynic and also a number of comedies.

    100

    Even Hume, in various passages of his Treatise, speaks of himself as recovering cheerfulness and mental tone only by forgetfulness of his own arguments.

    101

    Extracts from a treatise on landsurveying ascribed to Frontinus are preserved in Lachmann's Gromatici veteres (1848) .

    102

    Finally he would consider, in a crowning treatise De cive, how men, being naturally rivals or foes, were moved to enter into the better relation of Society, and demonstrate how this grand product of human wit must be regulated if men were not to fall back into brutishness and misery.

    103

    Finally, in a celebrated memoir, Theorie des attractions des spheroides et de la figure des planetes, published in 1785 among the Paris Memoirs for the year 1782, although written after the treatise of 1784, Laplace treated exhaustively the general problem of the attraction of any spheroid upon a particle situated outside or upon its surface.

    104

    Finally, the treatise concludes with saying that the limit of gentlemanliness has thus been stated, meaning that its limit is the service and contemplation of God and the control of desire by reason.

    105

    For practical purposes we may regard the most important discussions in the Treatise as falling under two heads.

    106

    For the story of Isis and Osiris we have indeed the late treatise ascribed to Plutarch, and a few fragments of other myths may be culled from earlier native sources.

    107

    From his Göttingen days dates the treatise on certain parts of Persian history, compiled from MSS.

    108

    From the early Renaissance down to a comparatively recent time the influence of this treatise has been remarkably great.

    109

    From this time Regnault devoted almost all his attention to practical physics; but in 1847 he published a four-volume treatise on Chemistry which has been translated into many languages.

    110

    Frontinus also wrote a theoretical treatise on military science (De re militari) which is lost.

    111

    Further illustrations of these views were given in two works published about the same time as the lectures, one a treatise On the Sonship and Brotherhood of Believers, and the other an exposition of the first epistle of St John.

    112

    Gildas's treatise was first published in 1525 by Polydore Vergil, but with many avowed alterations and omissions.

    113

    Having a happy knack of estimating character, especially when acquainted with the histories of the persons in question, the good pastor contrived to write a graphic and readable book, but one much inferior to Porta's or Aristotle's as a systematic treatise.

    114

    Having been educated by Richard Weston, a Leicester botanist, he published in 1793 a treatise, Lessons Astronomical and Philosophical.

    115

    Having entered the Society of Jesus in 1586, he was successively professor of philosophy at Douai and rector of the Jesuit College at Antwerp. He wrote a treatise on optics in six books (Antwerp, 1613), notable for containing the principles of stereographic projection.

    116

    He aims at describing what he 9 Hume, Treatise of Human Nature, i.

    117

    He also cites, apparently with approval, the view of those who held Porphyry's treatise to be not de quinque rebus, but de quinque vocibus.

    118

    He also compiled astronomical tables and a treatise on the quadrant.

    119

    He also published (1767) a treatise on the History and Present State of Electricity, which embodies some original work, and (1772) a History of Discoveries relating to Vision, Light and Colours, which is a mere compilation.

    120

    He also published a Treatise on Annuities (1725), which has passed through several revised and corrected editions.

    121

    He appeared on her behalf before the legates at Blackfriars; and wrote a treatise against the divorce that was widely read.

    122

    He devoted his leisure to the improvement of his economic treatise, which had for some time been out of print, but which the censorship did not permit him to republish; and in 1814 he availed himself (to use his own words) of the sort of liberty arising from the entrance of the allied powers into France to bring out a second edition of the work, dedicated to the emperor Alexander, who had professed himself his pupil.

    123

    He edited two editions of Hamilton Moore's Navigation, and in 1802 published a valuable work, New American Practical Navigator, founded on the earlier treatise by Moore.

    124

    He endeavoured to illustrate the subject by a clavecin oculaire, or ocular harpsichord; but the treatise and the illustration were quickly forgotten.

    125

    He fell under the suspicion of the Inquisition; his mystical teaching was said to be heretical, and his most famous book, the Guia de Peccadores, still a favourite treatise and one that has been translated into nearly every European tongue, was put on the Index of the Spanish Inquisition, together with his book on prayer, in 1559 His great opponent was the restless and ambitious Melchior Cano, who stigmatized the second book as containing grave errors smacking of the heresy of the Alumbrados and manifestly contradicting Catholic faith and teaching.

    126

    He had, ten years before this, only escaped promotion to the episcopate by a very questionable stratagem - which, however, he defends in his instructive and eloquent treatise De Sacerdotio.

    127

    He is credited with having himself designed candelabra and other objects in metal, and he directly encouraged the production of the sumptuous treatise on metal-work by Digby Wyatt, which laid the foundations of the revival.

    128

    He is further credited by the scholiast on Aristophanes (loc. cit.) with having composed comedies, dithyrambs, epigrams, paeans, hymns, scolia, encomia and elegies; and he is the reputed author of a philosophical treatise on the mystic number three.

    129

    He is said to have made an epitome of the Tactica of Aeneas, probably referred to by Cicero, who speaks of a Cineas as the author of a treatise De Re Militari.

    130

    He lectured on Clarke, Butler and Locke, and also delivered a systematic course on moral philosophy, which subsequently formed the basis of his well-known treatise.

    131

    He prepared a new edition of the monk Theophilus's celebrated treatise, Diversarum artium schedula, and for several years devoted his Saturday mornings to laboratory research with the chemist Aline Girard at the Conservatoire des Arts et Metiers, the results of which were utilized by Marcellin Berthelot in the first volume (1894) of his Chimie au moyen dge.

    132

    He published a treatise De diferentiis animalium at Paris in 1552.

    133

    He published in 1867-1868 a treatise in two volumes on La Lumiere, ses causes et ses effets.

    134

    He published many physical memoirs on electricity, the dilatation of liquids by heat, specific heats, capillary attraction, atomic volumes &c. as well as a treatise in 4 volumes on Fisica di corpi ponderabili (1837-1841).

    135

    He published several works, including a copiously-annotated translation of portions of Ptolemy (1537), and a treatise in two books, De arte atque ratione navigandi (1546).

    136

    He published, with a touching dedication to his wife, the treatise on Liberty, which they had wrought out together.

    137

    He quotes a passage on the polarity of the lodestone from a treatise translated by Albertus Magnus, attributed by the latter to Aristotle, but apparently only an Arabic compilation from the works of various philosophers.

    138

    He studied with earnest zeal the Greek philosophers; Plato in particular, and the writings of the Stoics, he had fully at command, and his treatise De Anima shows that he himself was able to investigate and discuss philosophical problems. From the philosophers he had been led to the medical writers, whose treatises plainly had a place in his working library.

    139

    He then rewrote his treatise in four books, making himself, Varro and Atticus the speakers.

    140

    He thinks that the variations in the inscriptions of the fifth treatise, which is not found in the best manuscript, are so great that the name of Boetius could not have originally been in the title.

    141

    He was a man of learning, writing in favour of Henry's divorce, and with Cuthbert Tunstall, bishop of Durham, a treatise against Cardinal Pole.

    142

    He was a physician, and Ibn Abi Usaibia, in his treatise on Arabian doctors, mentions him as the author of a medical work.

    143

    He was attacked in an elaborate treatise by Samuel Clarke, in whose system the freedom of the will is made essential to religion and morality.

    144

    He was entrusted by Ptolemy with the task of arranging the comedies in the Alexandrian library, and as the result of his labours composed a treatise On Comedy.

    145

    He was the author of a lost work De Accentibus, and of an extant treatise De Die Natali, written in 238, and dedicated to his patron Quintus Caerellius as a birthday gift.

    146

    He was the author of several contributions to the literature of horticulture, including a Practical Treatise on the Culture of the Dahlia (1838), and a Pocket Botanical Dictionary (1st ed., 1840).

    147

    He was the author of two text-books on them - one an Elementary Treatise on Quaternions (1867), written with the advice of Hamilton, though not published till after his death, and the other an Introduction to Quaternions (1873), in which he was aided by Professor Philip Kelland (1808-1879), who had been one of his teachers at Edinburgh.

    148

    He was the first who published a book on the Pythagorean doctrines, a treatise of which Plato made use in the composition of his Timaeus.

    149

    He won the King of Sweden's open prize for a mathematical treatise in 1889, and in 1908 was elected to the Academie Frangaise.

    150

    He would even be drawn into this process by his writing materials, which were papyrus rolls of some magnitude; he would tend to write discourses on separate rolls, and then fasten them together in a bundle into a treatise.

    151

    He would then single out Man from the realm of nature, and, in a treatise De homine, show what specific bodily motions were involved in the production of the peculiar phenomena of sensation and knowledge, as also of the affections and passions thence resulting, whereby man came into relation with man.

    152

    He wrote a popular treatise upon the former subject for the "Nature" Series (1874).

    153

    He wrote an admirable textbook of the Theory of Heat (1871), and a very excellent elementary treatise on Matter and Motion (1876).

    154

    He wrote Breviuscula Introductio ad Logicam, a treatise on logic and the psychology of the intellectual powers; Synopsis Theologiae Naturalis; and an edition of Pufendorf, De Officio Hominis et Civis, with notes and supplements of high value.

    155

    He wrote several scientific works, that which attracted most attention at the time being his Optique des couleurs (1740), or treatise on the melody of colours.

    156

    He wrote various philosophical works, also a treatise on grammar which is quoted by the later grammarian, John bar Zo`bi.

    157

    Henry Thomas Colebrooke, one of the earliest modern investigators of Hindu science, presumes that the treatise of Aryabhatta extended to determinate quadratic equations, indeterminate equations of the first degree, and probably of the second.

    158

    Hermann, Busolt and others had maintained that the lot was not used in Athens before the time of Cleisthenes; and in spite of the treatise, it must be admitted that there is no satisfactory evidence, historical or inferential, that their theory was unsound.

    159

    His best legal treatise is Memoire pour le comte de Morangies (Paris, 1772); Linguet's imprisonment in the Bastille afforded him the opportunity of writing his Memoires sur la Bastille, first published in London in 1789; it has been translated into English (Dublin, 1783, and Edinburgh, 1884-1887), and is the best of his works, though untrustworthy.

    160

    His chief treatise is entitled Difficulties and Solutions of First Principles ('A7ropiae Kai Xuo - Irepi TWV 7rpcorwv apxWV).

    161

    His chief works were Philosophiae Triumphus (1573); Synopsis Metaphysicae Aristotelis (1596); De Rerum Aeternitate (1604); and a treatise written in criticism of Caesalpinus entitled Caesae Alpes (1597).

    162

    His conversion to Christianity is said by Jerome to have been occasioned by a dream; and the same writer adds that the bishop to whom Arnobius applied distrusted his professions, and asked some proof of them, and that the treatise Adversus Genies was composed for this purpose.

    163

    His Cours de belles lettres (1765) was afterwards included with some minor writings in the large treatise, Principes de la litterature (1774).

    164

    His experiments and his treatise (written before 1651, published 1663) on the equilibrium of fluids entitle him to rank with Galileo and Stevinus as one of the founders of the science of hydrodynamics.

    165

    His fame rests chiefly on the preface and notes to his translation of Pufendorf's treatise De Jure Naturae et Gentium.

    166

    His great treatise, in seven books, Adversus Gentes (or Nationes), on account of which he takes rank as a Christian apologist, appears to have been occasioned by a desire to answer the complaint then brought against the Christians, that the prevalent calamities and disasters were due to their impiety and had come upon men since the establishment of their religion.

    167

    His great work is a treatise against the Pelagians, entitled De causa Dei contra Pelagium et de virtute causarum, edited by Sir Henry Savile (London, 1618).

    168

    His Griechische Gotterlehre (3 vols., Göttingen, 1857-1862) may be regarded as the first scientific treatise on Greek religion.

    169

    His health seems to have been perfectly restored, and during the three years of his stay in France his speculations were worked into systematic form in the Treatise of Human Nature.

    170

    His knowledge of the metaphysics of Spinoza was such that he was selected by one of the professors to prepare materials for a treatise De Spinosismo, which was afterwards published.

    171

    His largest work,Trattato generale di numeri e misure, is a comprehensive mathematical treatise, including arithmetic, geometry, mensuration, and algebra as far as quadratic equations (Venice, 1556, 1560).

    172

    His last work was an elaborate treatise on the Diseases of the Mind (1812).

    173

    His latest work was Secreta Secretorum or Secrets of Old Philosophers, rhymed extracts from a pseudo-Aristotelian treatise.

    174

    His method may be gathered from his son's treatise, De Ordine Docendi et Studendi.

    175

    His most extensive single work is a book on Sound, which, in the second edition, has become a treatise on vibrations in general.

    176

    His most important scientific work is his Zoonomia (1794-1796), which contains a system of pathology, and a treatise on generation, in which he, in the words of his famous grandson, Charles Robert Darwin, "anticipated the views and erroneous grounds of opinions of Lamarck."

    177

    His most important treatise, that by which he has a place in the history of philosophy, is entitled Milhamoth 'Adonai (The Wars of God), and occupied twelve years in composition (1317-1329).

    178

    His most important treatise, the Neue oder anthropologische Kritik der Vernunft (2nd ed., 1828-1831), was an attempt to give a new foundation of psychological analysis to the critical theory of Kant.

    179

    His next treatise, Liber apologeticus de arbitrii libertate, was written during his stay in Palestine, and in connexion with the controversy which engaged him there.

    180

    His next treatise, The Subjection of Women, was not published till 1869.1 His Examination of Hamilton's Philosophy, published in 1865, had engaged a large share of his time for three years before.

    181

    His numerous writings were much esteemed, especially by the evangelical party, to which he belonged; the best known are his Treatise on the Records of Creation and the Moral Attributes of the Creator (London, 1816) and The Evidence of Christianity derived from its Nature and Reception (London, 1821).

    182

    His only extant work is a short treatise (with a commentary by Pappus) On the Magnitudes and Distances of the Sun and Moon.

    183

    His original works are commentaries and perhaps a treatise on immortality.

    184

    His Pensees, published posthumously, seems to have been meant for a systematic treatise, but it has come to us in fragments.

    185

    His philosophic theory was identical with that of Pomponazzi, whose De immortalitate animi he defended and amplified in a treatise De mente humana.

    186

    His principal work was the treatise Dell' Elettricismo Naturale ed Artificiale (1753), which was translated into English in 1776.

    187

    His reputation among Protestants was at the time so bad that he was charged with the authorship of the treatise De tribus impostoribus, as well as with having carried his alleged approval of polygamy into practice.

    188

    His scheme was first to work out, in a separate treatise De corpore, a systematic doctrine of Body, showing how physical phenomena were universally explicable in terms of motion, as motion or mechanical action was then (through Galileo and others) understood - the theory of motion being applied in the light of mathematical science, after quantity, the subject-matter of mathematics, had been duly considered in its place among the fundamental conceptions of philosophy, and a clear indication had been given, at first starting, of the logical ground and method of all philosophical inquiry.

    189

    His studies of the eruptive rocks of Corsica, Santorin and elsewhere; his researches on the artificial reproduction of eruptive rocks, and his treatise on the optical characters of felspars deserve special mention; but he was perhaps best known for the joint work which he carried on with his friend Michel Levy.

    190

    His translation of a treatise of Galen was printed at Cambridge in 1521 by Siberch, who, in the same year and place, was the first to use Greek type in England.

    191

    His treatise De anima, on which Haureau lays particular stress, is interesting as showing the greater scope now given to psychological discussions.

    192

    His treatise De monetae cudendae ratione, 1526 (first printed in 1816), written by order of King Sigismund I., is an exposition of the principles on which it was proposed to reform the currency of the Prussian provinces of Poland.

    193

    His treatise De natura novi orbis libri duo (Salamanca, 1588-1589) may be regarded as the preliminary draft of his celebrated Historia natural y moral de las Indias (Seville, 1590) which was speedily translated into Italian (1596), French (1597), Dutch (1598), German (1601), Latin (1602) and English (1604).

    194

    His treatise De rationali et ratione uti is more interesting as a display of the logical acquirements of the age than as possessing any direct philosophical bearing.

    195

    His treatise IIEpi a pwv, uBaTwv, Kai T07rwv (Airs, Waters, and Places) contains the first enunciation of the principles of public health.

    196

    His treatise on algebra and arithmetic (the latter part of which is only extant in the form of a Latin translation, discovered in 1857) contains nothing that was unknown to the Greeks and Hindus; it exhibits methods allied to those of both races, with the Greek element predominating.

    197

    His treatise on Conics gained him the title of The Great Geometer, and is that by which his fame has been transmitted to modern times.

    198

    His Treatise on Fluxions was published at Edinburgh in 1742, in two volumes.

    199

    His treatise on numerical divisions, weights and measures (Distributio) is extant, with the exception of the concluding portion.

    200

    His Treatise on the Law of Sale of Personal Property with References to the American Decisions and to the French Code and Civil Law - a bulky volume known to practitioners as Benjamin on Sales - is the principal text-book on its subject, and a fitting monument of the author's career at the English bar, of his industry and learning.

    201

    His treatise was remarkable, not only as offering a satisfactory explanation of the coincidence between the lunar periods of rotation and revolution, but as containing the first employment of his radical formula of mechanics, obtained by combining with the principle of d'Alembert that of virtual velocities.

    202

    His treatise, Des Grandeurs de Jesus, was a favourite book with the Jansenists.

    203

    His views on the problems of Arianism, and his attempt to reconcile it with orthodox theology, are contained in A Specimen of True Philosophy (1730, reprinted in Metaphysical Tracts, 1837) and Logology, or a Treatise on the Logos in Seven Sermons on John i.

    204

    His views were made the subject of a special treatise by Posidonius.

    205

    His work advocating the suppression of internal customs houses (Suppression des douanes interieures), published the same year, is an elaborate treatise on the laws of commerce and on the theory of customs imposts.

    206

    History, as Selden showed in his learned and exhaustive treatise (History of Tithes 1618), does not bear out this view.'

    207

    Hitherto our attention has been given wholly to Germany and France, for the chief ornithologists of Britain were occupying themselves at this time in a very useless way - not paying due heed at this time to the internal structure of birds, and some excellent descriptive memoirs on special forms had appeared from their pens, to say nothing of more than one general treatise on ornithic anatomy.

    208

    Hops, which had been introduced in the early part of the 16th century, and on the culture of which a treatise was published in 1574 by Reginald Scott, are mentioned as a well-known crop. Buckwheat was sown after barley.

    209

    How great was the popularity and diffusion of this letter may be judged in some degree from the fact that Zarncke in his treatise on Prester John gives a list of close on 100 MSS.

    210

    If one single treatise of that century should be chosen to represent the spirit of the Italian people in the last phase of the Renaissance, the historian might hesitate between the Principe of Machiavelli and the Ricordi politici of Guicciardini.

    211

    If we are to follow von Sybel rather than Kugler, this saga of the First Crusade found one of its earliest expressions (c. 1120) in the prose work of Albert of Aix (Historia Hierosolymitana) - genuine saga in its 1 His somewhat legendary treatise, De liberatione civitatum Orientis, was only composed about 1155.

    212

    If, argued Protagoras in a treatise entitled Truth, all things are in flux, so that sensation is subjective, it follows that " Man is the measure of all things, of what is, that it is, and of what is not, that it is not "; in other words, there is no such thing as objective truth.

    213

    In 1040 he wrote in Arabic a treatise, Duties of the Heart.

    214

    In 1392 Vergerio addressed to a prince of Padua the first treatise which methodically maintains the claims of Latin as an essential part of a liberal education.

    215

    In 1529 he brought out his Oeconomia christiana (a treatise in German, on the right ordering of a Christian household) with a dedication to the duchess Sybil of Saxony and a preface by Luther.

    216

    In 1613, at the instigation of Pope Paul V., Suarez wrote a treatise dedicated to the Christian princes of Europe, entitled Defensio catholicae fidei contra anglicanae sectae errores.

    217

    In 1630 a professor of Louvain, Erycius Puteanus (van Putte), published a treatise, De Begginarum apud Belgas instituto et nomine suiragium, in which he produced three documents purporting to date from the i ith and 12th centuries, which seemed conclusively to prove that the Beguines existed long before Lambert le Begue.

    218

    In 1663 he published Le Palais de l'honneur, which besides giving the genealogy of the houses of Lorraine and Savoy, is a complete treatise on heraldry, and in 1664 Le Palais de la gloire, dealing with the genealogy of various illustrious French and European families.

    219

    In 1665 he almost quarrelled with his fellow-Platonist, Henry More, because the latter had written an ethical work which Cudworth feared would interfere with his own long-contemplated treatise on the same subject.

    220

    In 1745 he published an able treatise on the law of forfeiture for high treason, in defence of his father's treatment of the Scottish Jacobite peers; and in the following year he was called to the bar.

    221

    In 1746 he published his treatise Les Beaux-Arts adults a un meme Principe, an attempt to find a unity among the various theories of beauty and taste, and his views were widely accepted.

    222

    In 1749 was published Apollonii Pergaei locorum planorum libri II., a restoration of Apollonius's lost treatise, founded on the lemmas given in the seventh book of Pappus's Mathematical Collection.

    223

    In 1750 appeared his celebrated devotional book on the Glories of Mary; three years later came his still more celebrated treatise on moral theology.

    224

    In 1756 he graduated as doctor in theology, and began authorship with a theological treatise.

    225

    In 1764 he published his brief but justly celebrated treatise Dei Delitti e delle Pene (" On Crimes and Punishments").

    226

    In 1764 he published his first work, The Schoolmaster's Guide, or a Complete System of Practical Arithmetic, which in 1770 was followed by his Treatise on Mensuration both in Theory and Practice.

    227

    In 1786 Horne Tooke conferred perpetual fame upon his benefactor's country house by adopting, as a second title of his elaborate philological treatise of "EirEa the more popular though misleading title of The Diversions of Purley.

    228

    In 1793 he published a treatise, The Calvinistic and Socinian systems examined and compared as to their moral tendency, in which he rebutted the accusation of antinomianism levelled by the Socinians against those who over-emphasized the doctrines of free grace.

    229

    In 1800 the original Farmers' Magazine came into existence under the editorship of Robert Brown of Markle, the author of the well-known treatise on Rural Affairs.

    230

    In 1820 was published his treatise on the gospel of St John, entitled Probabilia de Evangelii et Epistolarum Joannis Apostoli indole et origine, which attracted much attention.

    231

    In 1828 he published Die Etrusker, a treatise on Etruscan antiquities.

    232

    In 1833 appeared a treatise on The Adaptation of External Nature to the Moral and Intellectual Constitution of Man.

    233

    In 1842 he published a treatise on The Unity of the Church, and his reputation as an eloquent and earnest preacher being by this time considerable, he was in the same year appointed select preacher by his university, thus being called upon to fill from time to time the pulpit which Newman, as vicar of St Mary's, was just ceasing to occupy.

    234

    In 1873 James Clerk Maxwell published his classical Treatise on Electricity and Magnetism, in which Faraday's ideas were translated into a mathematical form.

    235

    In all this the epistle is still a genuine letter, and not a treatise.

    236

    In connexion with this controversy Lessing wrote his brilliant little treatise, Wie die Alten den Tod gebildet (1769), contrasting the medieval representation of death as a skeleton with the Greek conception of death as the twin-brother of sleep.

    237

    In December 1805 Napoleon, being much impressed by a chapter in Jomini's treatise, made him a colonel in the French service.

    238

    In England the first important name in this field is at the same time that of the first writer of a systematic work in any language on morbid anatomy, Matthew Baillie (1761-1823), a nephew of John and William Hunter, who published his treatise in 1795.

    239

    In ethics Gioja follows Bentham generally, and his large treatise Del merito e delle recompense (1818) is a clear and systematic view of social ethics from the utilitarian principle.

    240

    In his cosmogonic treatise on nature and the gods, called Hevr4tvxo (Preller's correction of Suidas, who has E7rTaµuXos) from the five elementary or original principles (aether, fire, air, water, earth; Gomperz substitutes smoke and darkness for aether and earth), he enunciated a system in which science, allegory and mythology were blended.

    241

    In his fifteenth year he entered the order of the Dominicans at Naples, and is said to have composed a treatise on the ark of Noah.

    242

    In his first philosophical treatise, Philosophie als Denken der Welt gemdss dem Princip des kleinsten Kraftmaasses, Prolegomena zu einer Kritik der reinen Erfahrung (1876), he based his views on the principle of least action, contending that, as in Nature the force which produces a change is the least that can be, so in mind belief tends in the easiest direction.

    243

    In his Treatise of Algebra (1685) he distinctly proposes to construct the imaginary roots of a quadratic equation by going out of the line on which the roots, if real, would have been constructed.

    244

    In January 1739 appeared the first and second volumes of the Treatise of Human Nature, being an Attempt to Introduce the Experimental Method of Reasoning into Moral Subjects, containing book i., Of the Understanding, and book ii., Of the Passions.

    245

    In November 1640 the Long Parliament succeeded to the Short, and sent Laud and Strafford to the Tower, and Hobbes, who had become, or thought he had become, a marked man by the circulation of his treatise (of which, " though not printed, many gentlemen had copies "), hastened to Paris, " the first of all that fled."

    246

    In St Bernard's treatise De consideratione, addressed to Pope Eugenius III., the papacy receives as many reprimands and attacks as it does marks of affection and friendly counsel.

    247

    In that treatise the essential marks of an educated person are, not only ability to write Latin verse, but also, a point of " at least equal importance," " familiarity with the language and literature of Greece."

    248

    In the 2nd half of the 4th century lived the monk Gregory, who wrote a treatise on the monastic life.

    249

    In the 9th century IIivi of Balkh wrote a rationalistic treatise 3 on difficulties in the Bible, which was refuted by Seadiah.

    250

    In the appended treatise Sur la Cause de la pesanteur, he rejected gravitation as a universal quality of matter, although admitting the Newtonian theory of the planetary revolutions.

    251

    In the commentary on the treatise De Trinitate (erroneously attributed to Boetius) he proceeds from the metaphysical notion that pure or abstract being is prior in nature to that which is.

    252

    In the De jure praedae of 1604 there is much more than the germ of the later treatise De jure belli.

    253

    In the department of natural theology and the Christian evidences he ably advocated that method of reconciling the Mosaic narrative with the indefinite antiquity of the globe which William Buckland (1784-1856) advanced in his Bridgewater Treatise, and which Dr Chalmers had previously communicated to him.

    254

    In the earlier treatise he attacks the life and character of Aristotle, impugns the authenticity of almost all his works, and attempts to refute his doctrines from a theological standpoint.

    255

    In the first place as regards style, though the Stagirite pupil Aristotle could never rival his Attic master in literary form, yet he did a signal service to philosophy in gradually passing from the vague generalities of the dialogue to the scientific precision of the didactic treatise.

    256

    In the following year he wrote to Bacon, ordering him notwithstanding any injunctions from his superiors, to write out and send to him a treatise on the sciences which he had already asked of him when papal legate.

    257

    In the former treatise we have a clear and minute description of the rural practices of that period, and from the latter may be learned a good deal of the economy of the feudal system in its decline.

    258

    In the hands of Blaise Pascal (1623-1662) hydrostatics assumed the dignity of a science, and in a treatise on the equilibrium of liquids (Sur l'equilibre des liqueurs), found among his manuscripts after his death and published in 1663, the laws of the equilibrium of liquids were demonstrated in the most simple manner, and amply confirmed by experiments.

    259

    In the latter treatise he added that it is a fallacia a dicto secundum quid ad dictum simpliciter to argue from the former to the latter; " for," as he says, it is not the same thing to be something and to exist absolutely."

    260

    In the next century we have Velius Longus's treatise De Orthographia, and then a much more important work, the Noctes Atticae of Aulus Gellius, and (c. 200) a treatise in verse by Terentianus, an African, upon Latin pronunciation, prosody and metre.

    261

    In the same year and from the same press was issued a Dialogus de Avibus by Gybertus Longolius, and in 1570 Caius brought out in London his treatise De rariorum animalium atque stirpium historic. In this last work, small though it be, ornithology has a good share; and all three may still be consulted with interest and advantage by its votaries.

    262

    In the same year appeared the recast of the third book of the Treatise, called Inquiry concerning the Principles of Morals, of which he says that " of all his writings, philosophical, literary or historical, it is incomparably the best."

    263

    In the same year he wrote a very popular treatise against drunkenness.

    264

    In the summer of 1790 he had lectured in Jena on the aesthetics of tragedy, and in the following year he studied carefully Kant's treatise on aesthetics, Kritik der Urteilskraft, which had just appeared and appealed powerfully to Schiller's mind.

    265

    In the Treatise of Human Nature, which is in every respect the most complete exposition of Hume's philosophical conception, we have the first thorough-going attempt to apply the fundamental principles of Locke's empirical psychology to the construction of a theory of knowledge, and, as a natural consequence, the first systematic criticism of the chief metaphysical notions from this point of view.

    266

    In the unique MS. of Cicero's treatise De Republica, 2, 33, 57, secutus appears as "secututus secutus."

    267

    In the very first days of his sojourn he had written a pamphlet with the imposing title of Treatise on Metaphysics.

    268

    In the winter of 1604 he composed (but did not publish) a treatise entitled De jure praedae.

    269

    In the year 1618 was published The True Honour of Navigation and Navigators, by John Wood, D.D., dedicated to Sir Thomas Smith, governor to the East India Company, and about the same time appeared the well-known treatise of Hugo Grotius, De veritate religionis christianae, written for the express use of settlers in distant lands.

    270

    In this lecture More sought less to expound the theology of his author than to set forth the philosophical and historical contents of the treatise.

    271

    In this particular part of his task, it must be allowed, he succeeded very well; his criticism of Wallis's works, especially the great treatise Arithmetica infinitorum (1655), only showed how little able he was to enter into the meaning of the modern analysis.

    272

    In this treatise, entitled De Alpibus commentarius, he collected all that the classical authors had written on the Alps, adding a good deal of material collected from his friends and correspondents.

    273

    In those days there was no sense of unfairness in using up existing materials in order to make a more complete treatise.

    274

    Indeed, it shares with Romans the right to be styled "the first treatise of Christian theology."

    275

    It appears that Pascal contemplated publishing a treatise De aleae geometria; but all that actually appeared was a fragment on the arithmetical triangle (Traite du triangle arithmetique, " Properties of the Figurate Numbers"), printed in 1654, but not published till 1665, after his death.

    276

    It can be shown that the resultant electric force normal to the surface at a point just outside a conductor is 1 See Maxwell, Elementary Treatise on Electricity (Oxford, 1881), P. 47.

    277

    It has the strength of an analytical treatise, the charm of a popular dissertation.

    278

    It is doubtful whether the treatise in which this theory is fully expounded is as old as Hippocrates himself; but it was regarded as a Hippocratic doctrine, and, when taken up and expanded by Galen, its terms not only became the common property of the profession, but passed into general literature and common language.

    279

    It is important to notice that Archytas must have been famous as a philosopher, inasmuch as Aristotle wrote a special treatise (not extant) On the Philosophy of Archytas.

    280

    It is in this treatise that what have been called " the conceptual categories " 8 emerge, viz.

    281

    It is known that before the Opus Majus Bacon had already written some tracts, among which an unpublished work, Computus Naturalium, on chronology, belongs probably to the year 1263; while, if the dedication of the De Secretis Operibus be authentic, that short treatise must have been composed before 1249.

    282

    It is not even necessary that 2 See Maxwell, Treatise on Electricity and Magnetism (3rd ed., Oxford, 1892), vol.

    283

    It may be doubted whether the thoroughgoing philosophical scepticism of antiquity has any exact parallel in modern times, with the single exception possibly of Hume's Treatise on Human Nature.

    284

    It was during his imprisonment here that, "prive de toute espece de livres et de secours, surtout distrait par les malheurs de ma patrie et les miens propres," as he himself puts it, he began his researches on projective geometry which led to his great treatise on that subject.

    285

    It was during this struggle that Mariana, the historian and the author of the famous De rege in which he defends tyrannicide, wrote his treatise On the Defects in the Government of the Society.

    286

    It was, as far as we know, the first attempt to " collect all the geographical knowledge at the time attainable, and to compose a general treatise on geography.

    287

    John Fleischer (sometimes incorrectly named Fletcher), of Breslau, propounded the same view in a pamphlet, De iridibus doctrina Aristotelis et Vitellonis (1574) the same explanation was given by Franciscus Maurolycus in his Photismi de lumine et umbra (1575) The most valuable of all the earlier contributions to the scientific explanation of rainbows is undoubtedly a treatise by Marco Antonio de Dominis (1566-1624), archbishop of Spalatro.

    288

    John Mill wrote no elaborate treatise on the subject.

    289

    Joly published his Manual of Quaternions (London); the valuable contents of this are doubled by copious so-called examples; every earnest student should take these as part of the main treatise.

    290

    Lambert's most important work, Pyrometrie (Berlin, 1779), is a systematic treatise on heat, containing the records and full discussion of many of his own experiments.

    291

    Laplace's treatise on specific heat was published in German in 1892 as No.

    292

    Later, however, as in the Commentary on this work written by Synesius to Dioscorus, priest of Serapis at Alexandria, which probably dates from the end of the 4th century, a changed attitude becomes apparent; the more practical parts of the receipts are obscured or omitted, and the processes for preparing alloys and colouring metals, described in the older treatise, are by a mystical interpretation represented as resulting in real transmutation.

    293

    Latin was the language of his political treatise, De Monarchia, and even that of his defence of the vulgar tongue, De Vulgari Eloquio.

    294

    Laughton's polemical treatise was published in 1780, and those of Milner and Taylor in 1781.

    295

    Legendre, in 1783, extended Maclaurin's theorem concerning ellipsoids of revolution to the case of any spheroid of revolution where the attracted point, instead of being limited to the axis or equator, occupied any position in space; and Laplace, in his treatise Theorie du mouvement et de la figure elliptique des planetes (published in 1784), effected a still further generalization by proving, what had been suspected by Legendre, that the theorem was equally true for any confocal ellipsoids.

    296

    Luther at one period (in his treatise De captivitate Babylonica) maintained, though not on historical grounds, that the offering of the oblations of the people was the real origin of the conception of the sacrifice of the mass; but he directed all the force of his vehement polemic against the idea that any other sacrifice could be efficacious besides the sacrifice of Christ.

    297

    Maimonides also wrote an Arabic commentary on the Mishnah, soon afterwards translated into Hebrew, commentaries on parts of the Talmud (now lost), and a treatise on Logic. His breadth of view anti- and his Aristotelianism were a stumbling-block to the orthodox, and subsequent teachers may be mostly classified as Maimonists or anti-Maimonists.

    298

    Many of the reforms in the penal codes of the principal European nations are traceable to Beccaria's treatise.

    299

    Many other details are given in the treatise Soferim, but these for the most part refer primarily to the synagogue service after the destruction of the Temple.

    300

    Marsilius of Padua also composed a treatise De translations imperii romani, which is merely a rearrangement of a work of Landolfo Colonna, De jurisdictione imperatoris in causa matrimoniali, intended to prove the exclusive jurisdiction of the emperor in matrimonial affairs, or rather, to justify the intervention of Louis of Bavaria, who, in the interests of his policy, had just annulled the marriage of the son of the king of Bohemia and the countess of Tirol.

    301

    Matthews, Treatise on Bessel's Functions (1895); Encyclopddie der math.

    302

    Maxwell (Elementary Treatise, &c., p. 15) ingeniously applied this fact to the insulation of conductors.

    303

    Maxwell's electric and magnetic ideas were gathered together in a great mathematical treatise on electricity and magnetism which was published in 1873.1 This book stimulated in a most remarkable degree theoretical and practical research into the phenomena of electricity and magnetism.

    304

    Mead's treatise on The Power of the Sun and Moon over Human Bodies (1704), equally inspired by Newton's discoveries, was a premature attempt to assign the influence of atmospheric pressure and other cosmical causes in producing disease.

    305

    Melanchthon replied in a brief and moderately worded treatise, setting forth Luther's first principle of the supreme authority of Scripture in opposition to the patristic writings on which Eck relied.

    306

    Much of Cudworth's work still remains in manuscript; A Treatise concerning eternal and immutable Morality was published in 1731; and A Treatise of Freewill, edited by John Allen, in 1838; both are connected with the design of his magnum opus, the Intellectual System.

    307

    Naples, in writing the little treatise (afterwards included in the Characteristics) entitled A Notion of the Historical Draught or Tablature of the Judgment of Hercules, and the letter concerning Design.

    308

    Nau, who appends to it the surviving fragment of his treatise on the composition of man as consisting of soul and body.?

    309

    Neckam also wrote Corrogationes Promethei, a scriptural commentary prefaced by a treatise on grammatical criticism; a translation of Aesop into Latin elegiacs (six fables from this version, as given in a Paris MS., are printed in Robert's Fables inedites); commentaries, still unprinted, on portions of Aristotle, Martianus Capella and Ovid's Metamorphoses, and other works.

    310

    Neither the rotation of the shell as a whole nor its helicoid spiral coiling is the immediate cause of the torsion of the body in the individual, for the direction of the torsion is indicated in the segmentation of the ovum, in which there is a complete A B From Lankester's Treatise on Zoology.

    311

    Nevertheless the book was eagerly sought, and several editions of it appeared.4 Mention must be made of a medical treatise by Caspar Schwenckfeld, published at Liegnitz in 1603, under the title of Theriotropheum Silesiae, the fourth book of which consists of an " Aviarium Silesiae," and is the earliest of the works we now know by the name of fauna.

    312

    Newcastle himself, who was a cousin of Hobbes's late patron and to whom he dedicated the " little treatise " of 1640, found his way to Paris, and was followed by a stream of fugitives, many of whom were known to Hobbes.

    313

    No doubt this was the subject of the treatise.

    314

    None of the principles of the Treatise is given up in the later writings, and no addition is made to them.

    315

    Nor can the relation of master and pupil be certainly inferred from the superscription quoted (observe the omission of any article), which really asserts no more than that Hero re-edited an earlier treatise by Ctesibius, and implies nothing about his being an immediate predecessor.

    316

    Not stopping to reflect that in the angry and suspicious state of men's minds he was sure to lose as much in one direction as he would gain in the other, Justinian entered into the idea, and put forth an edict exposing and denouncing the errors contained in the writings of Theodore generally, in the treatise of Theodoret against Cyril of Alexandria, and in a letter of Bishop Ibas (a letter whose authenticity was doubted, but which passed under his name) to the Persian bishop Marls.

    317

    Now it can be proved that at this time he had written not only his Human Nature but also his De corpore politico, the two treatises (though published separately ten years later) having been composed as parts of one work; 3 and there cannot be the least question that together they make " the little treatise " just mentioned.

    318

    Of his numerous works, that on which his fame principally rests is the treatise entitled De Morbis Venereis libri sex, 1736.

    319

    Of his other works the most interesting is the treatise De rege et regis institutione (Toledo, 1598).

    320

    Of the Academy's edition one volume was published at Berlin in 1897, containing the Commentaries on Daniel and on the Song of Songs, the treatise on Antichrist, and the Lesser Exegetical and Homiletic Works, edited by Nathanael Bonwetsch and Hans Achelis.

    321

    Of the state of agriculture in Scotland in the 16th and the greater part of the 17th century very little is known; no professed treatise on the subject appeared till after the Revolution.

    322

    Of the works he probably wrote one was a treatise advocating the Madhyamaka views of which he is the reputed founder; another a long and poetical prose work on the stages of the Bodhisattva career; and a third a voluminous commentary on the Mahaprajna-paramita Sutra.

    323

    Of these the dissertation on the passions is a very subtle piece of psychology, containing the essence of the second book of the Treatise.

    324

    Of this treatise, preserved in Harleian MSS.

    325

    On his return he removed to Berlin, where he lived as a royal pensioner till his death, which occurred on the 18th of February 18 His investigations in elliptic functions, the theory of which he established upon quite a new basis, and more particularly his development of the theta-function, as given in his great treatise Fundamenta nova theoriae functionum ellipticarum (Konigsberg, 1829), and in later papers in Crelle's Journal, constitute his grandest analytical discoveries.

    326

    On recovering from this illness,which nearly proved fatal, he resumed his literary task, and carried it steadily forward to completion by the year 1650, having also within the same time translated into English, with characteristic force of expression, his Latin treatise.

    327

    One of his first tasks was to send his treatise on the Subjection of Women (written 1861, published 1869, many editions) through the press.

    328

    Others of his works (all in French) were his treatise on purgatory (1534), on the Lord's Prayer (1543), on the Supper (1555).

    329

    Our sole authority for their existence is Philo in his treatise De Vita Contemplativa.

    330

    P. Woodward, a model of clear systematic exposition, and the exhaustive treatise on the Malacozoa or Weichthiere by Professor Keferstein of Gottingen, published as part of Bronn's Klassen and Ordnungen des Thier-Reichs.

    331

    Paul the Persian, a courtier of Khosrau Anosharwan, dedicated to the king a treatise on logic which has been published from a London MS. by Land in the 4th volume of his Anecdota.

    332

    Perhaps the most famous are a little treatise on Italian prose, and a dialogue entitled Gli Asolani, in which Platonic affection is explained and recommended in a rather longwinded fashion, to the amusement of the reader who remembers the relations of the beautiful Morosina with the author.

    333

    Pirminius, who was far from being an original writer, made great use of a treatise by Martin of Braga, but substituted a Roman form of Renunciation, and refers to the Roman rite of Unction in a way which leads us to suppose that the form of creed which he substituted for Martin's form was also Roman.

    334

    Portions of this treatise, and only portions, found ready acceptance in those minds which were prepared to receive them.

    335

    Probably, then, the original and limited address, or rather salutation, was never copied when this treatise in letter form, like the epistle to the Romans, passed into the wider circulation which its contents merited.

    336

    Professor Claxton Fidler (Treatise on Bridge Construction, 1887) has made a very careful theoretical analysis of the weights of bridges of different types, and has obtained the following values for the limiting spans.

    337

    Returning to theology, he attempted to connect it with philosophy in a treatise, Dilucidationes philosophicae, de deo, anima humana, mundo (Tubingen, 1725, 1746, 1768).

    338

    Rheticus now began his great treatise, Opus Palatinum de Triangulis, and continued to work at it while he occupied his old chair at Wittenberg, and indeed up to his death at Cassovia in Hungary, on the 4th of December 1576.

    339

    Roscellinus appears at first to have imagined that his tritheistic theory had the sanction of Lanfranc and Anselm, and the latter was led in consequence to compose his treatise De fide Trinitatis.

    340

    Sahdona, who was a monk in the Nestorian monastery of Beth `Abhe (the same to which Thomas of Marga belonged two centuries later) and afterwards a bishop early in the 7th century, wrote a biography of and a funeral sermon on his superior Mar Jacob who founded the monastery, and also a long treatise in two parts on the monastic life, of which all that survives has been edited by P. Bedjan (Paris, 1902).

    341

    See Thomson and Tait, Treatise on Natural Philosophy, § 519.

    342

    Several works were written on the capture of Acre in 1291, especially the Excidium urbis Acconensis, a treatise which emerges to throw light, after many years of darkness, on the last hours of the kingdom.

    343

    Shute in his History of the Aristotelian Writings (p. 176), " that we have even got throughout a treatise in the exact words of Aristotle, though we may be pretty clear that we have a fair representation of his thought.

    344

    Sometimes the reference is to the beginning of the whole treatise; e.g.

    345

    Still more was it the object of his Augustinus, a bulky treatise on the theology of St Augustine, barely finished at the time of his death.

    346

    Strauss-Diirckheim in 1828 issued his great treatise on the cockchafer.

    347

    Tait's Elementary Treatise on Quaternions appeared (Cambridge).

    348

    Tertullian (c. 160-240) uses it in both senses, of an oath, as in the passage of his treatise About Spectacles, where he says that no Christian " passes over to the enemy's camp without throwing away his arms, without abandoning the standards and sacraments of his chief."

    349

    The Arithmetica, the greatest treatise on which the fame of Diophantus rests, purports to be in thirteen Books, but none of the Greek MSS.

    350

    The Author Of The System Adopted By Gregory Was Aloysius Lilius, Or Luigi Lilioghiraldi, A Learned Astronomer And Physician Of Naples, Who Died, However, Before Its Introduction; But The Individual Who Most Contributed To Give The Ecclesiastical Calendar Its Present Form, And Who Was Charged With All The Calculations Necessary For Its Verification, Was Clavius, By Whom It Was Completely Developed And Explained In A Great Folio Treatise Of 800 Pages, Published In 1603, The Title Of Which Is Given At The End Of This Article.

    351

    The Bull granting the title is dated the 11th of October 1521, and was a reward for the king's treatise, Assertio, septem sacramentorum, against Luther.

    352

    The Chemistry of the Sun (1887) is an elaborate treatise on solar spectroscopy based on the hypothesis of elemental dissociation through the intensity of solar heat.

    353

    The comprehensive scheme of study included mathematics also, in which he advanced as far as the conic sections in the treatise of L'Hopital.

    354

    The controversy his intolerance provoked was closed by Augustine's controversial treatise De Baptismo, in which the validity of baptism administered by heretics is based on the objectivity of the sacrament.

    355

    The demonstrations of the unity and the attributes of God, with which the treatise De Melisso, Xenophane et Gorgia (now no longer ascribed to Aristotle or Theophrastus) accredits Xenophanes, are plainly framed on the model of Eleatic proofs of the unity and the attributes of the Ent, and must therefore be set aside.

    356

    The determination of the true relation between the length of a pendulum and the time of its oscillation; the invention of the theory of evolutes; the discovery, hence ensuing, that the cycloid is its own evolute, and is strictly isochronous; the ingenious although practically inoperative idea of correcting the "circular error" of the pendulum by applying cycloidal cheeks to clocks - were all contained in this remarkable treatise.

    357

    The dull treatise of John of Ireland (q.v.) lays claim to originality of a kind.

    358

    The eighth now extant is really an incomplete treatise on logic. Some critics have rejected this book as spurious, since its matter is so different from that of the rest.

    359

    The Epistle to the Hebrews is an epistolary treatise of uncertain date, on the Pauline model, and by a disciple of St Paul or at least a writer strongly influenced by him, though influenced also in no small degree by the Jewish school of Alexandria represented by Philo.

    360

    The epoch-making treatise in which it was set forth, virtually finished in 1530, began to be known through the circulation in manuscript of a Commentariolus, or brief popular account of its purport written by Copernicus in that year.

    361

    The Essays are undoubtedly written with more maturity and skill than the Treatise; they contain in more detail application of the principles to concrete problems, such as miracles, providence, immortality; but the entire omission of the discussion forming part ii.

    362

    The Eudemus and Protrepticus are with Plato; the dialogues on Philosophy and the treatise on Forms are against Plato.

    363

    The exception is in the little treatise commonly called the Epistle of Barnabas, probably composed about A.D.

    364

    The fifth treatise is Contra Eutychen et Nestorium.

    365

    The final perplexity, concealed by various forms of expression, comes forward at the close of the Treatise as absolutely unsolved, and leads Hume, as will be pointed out, to a truly remarkable confession of the weakness of his own system.

    366

    The final problem of Hume's theory of knowledge, the discussion of the real significance of the two factors of cognition, self and external things, is handled in the Treatise with great fulness and dialectical subtlety.

    367

    The first extant work which approaches to a treatise on algebra is by Diophantus, an Alexandrian mathematician, who flourished about A.D.

    368

    The first extends from the date of publication of Gilbert's great treatise in 1600 to the invention by Volta of the voltaic pile and the first production of the electric current in 1799.

    369

    The first investigates mathematical facts relating to the earth as a whole, its figure, dimensions, motions, their measurement, &c. The second part considers the earth as affected by the sun and stars, climates, seasons, the difference of apparent time at different places, variations in the length of the day, &c. The third part treats briefly of the actual divisions of_the surface of the earth, their relative positions, globe and map-construction, longitude, navigation, &c. Varenius, with the materials at his command, dealt with the subject in a truly philosophic spirit; and his work long held its position as the best treatise in existence on scientific and comparative geography.

    370

    The first of a series of ephemerides, calculated on these principles, was published by him at Linz in 1617; and in that for 1620, dedicated to Baron Napier, he for the first time employed logarithms. This important invention was eagerly welcomed by him, and its theory formed the subject of a treatise entitled Chilias Logarithmorum, printed in 1624, but circulated in manuscript three years earlier, which largely contributed to bring the new method into general use in Germany.

    371

    The first of the works known to have been written by Erigena during this period was a treatise on the eucharist, which has not come down to us (by some it has been identified with a treatise by Ratramnus, De corpore et sanguine Domini).

    372

    The first of these is a methodical treatise, setting forth Machiavelli's views on military matters, digesting his theories respecting the superiority of national troops, the inefficiency of fortresses, the necessity of relying upon infantry in war, and the comparative insignificance of artillery.

    373

    The first three books of this treatise were translated into English, and several times printed as The Elements of the Conic Sections.

    374

    The first treatise on algebra written in English was by Robert Recorde, who published his arithmetic in 1552, and his algebra entitled The Whetstone of Witte, which is the second part of Arithmetik, in 1557.

    375

    The following year, the question of the intervention of kings in the election of bishops having been raised in a pamphlet by Charles Hersent (Optatus Gallus de cavendo schismate, 1640), Marca defended what were then called the liberties of the Gallican Church, in his celebrated treatise De concordia sacerdotii et imperii, seu de libertatibus ecclesiae gallicanae (1641).

    376

    The former is divided into four parts, Ontosophy, Cosmosophy, Theosophy, Psychosophy, supplemented by a treatise on ethics and a dissertation on first causes.

    377

    The former treatise (chap. 9), under the head of examples (7rapabeiyµara), gives historical examples of the unexpected in war for the years 4 0 3, 371, 35 8, concluding with the year 340, in which the Corinthians, coming with nine triremes to the assistance of the Syracusans, defeated the Carthaginians who were blockading Syracuse with 150 ships.

    378

    The former was professor of mathematics at Bologna, and published, among other works, a treatise on the infinitesimal calculus.

    379

    The founder of the mathematical school was the celebrated Euclid (Eucleides); among its scholars were Archimedes; Apollonius of Perga, author of a treatise on Conic Sections; Eratosthenes, to whom we owe the first measurement of the earth; and Hipparchus, the founder of the epicyclical theory of the heavens, afterwards called the Ptolemaic system, from its most famous expositor, Claudius Ptolemaeus.

    380

    The introduction is an elaborate treatise on the science of history and the development of society, and the autobiography contains the history, not only of the author himself, but of his family and of the dynasties which ruled in Fez, Tunis and Tlemcen during his lifetime.

    381

    The Latin editions of his philosophical works comprise the Commentaries on Aristotle, the Destructio Destructionis (against Ghazali), the De Substantia Orbis and a double treatise De Animae Beatitudine.

    382

    The Liber de Institutione Principum, a treatise on the duties of kings and their functionaries, has never yet been printed, and the only MS. copy the writer of this article has been able to consult does not contain in its prologue all the information which Echard seems to imply is to be found there.

    383

    The literature of agriculture, in abeyance since the treatise of Walter of Henley, makes another beginning in the 16th century.

    384

    The little treatise became widely popular, gaining rather than losing popularity in the 18th century.

    385

    The metrical treatise of Terentianus is now preserved in the editio princeps (1497) alone.

    386

    The Moral Proverbs of Christyne de Pise, translated by Earl Rivers, was printed in 1478 by Caxton, who himself translated, by order of Henry VII., her Livre des faitz d'armes, et de chevalerie, a treatise on the art of war, based chiefly on Vegetius.

    387

    The most able exponent of this subject in Great Britain was John Curtis, whose treatise on Farm Insects, published in 1860, is still the standard British work dealing with the insect foes of corn, roots, grass and stored corn.

    388

    The most remarkable of the works from this period are - (I) the Bestimmung des Menschen (Vocation of Man, 1800), a book which, for beauty of style, richness of content, and elevation of thought, may be ranked with the Meditations of Descartes; (2) Der geschlossene Handelsstaat, 1800 (The Exclusive or Isolated Commercial State), a very remarkable treatise, intensely socialist in tone, and inculcating organized protection; (3) Sonnenklarer Bericht an das grossere Publicum iiber die neueste Philosophie, 1801.

    389

    The name is derived from the word electrica, first used by William Gilbert (1544-1603) in his epoch-making treatise De magnete, magneticisque corporibus, et de magno magnete tellure, published in 1600, 1 to denote substances which possess a similar property to amber (= electrum, from iiXecrpov) of attracting light objects when rubbed.

    390

    The only extant prose work which may be assigned to the end of this period is the treatise on rhetoric known by the title Ad Herennium (c. 84) a work indicative of the attention bestowed on prose style and rhetorical studies during the last century of the republic, and which may be regarded as a precursor of the oratorical treatises of Cicero and of the work of Quintilian.

    391

    The only teacher whom he respected was a certain Petrus de Maharncuria Picardus, or of Picardy, probably identical with a certain mathematician, Petrus Peregrinus of Picardy, who is perhaps the author of a MS. treatise, De Magnete, contained in the Bibliotheque Imperiale at Paris.

    392

    The opening words of the Philobiblon and the Epistolae as given by Bale represent those of the Philobiblon and its prologue, so that he apparently made two books out of one treatise.

    393

    The opposition was now continued by Linguet and Necker, who in 1 775 published his treatise Sur la legislation et le commerce des grains.

    394

    The other tract, known as Categoriae decem, and taken at first for a translation of Aristotle's treatise, is really a rapid summary of it, and certainly does not belong to Augustine.

    395

    The other treatise is a shorter and more popular work, the Encheiridion (" Handbook").

    396

    The pathbreaking works of Lamarck were soon followed by the monumental treatise of Gerard Paul Deshayes (1795-1875) entitled Descriptions des coquilles fossiles des environs de Paris (1824-1837), the first of a series of great contributions by this and other authors.

    397

    The principal are - in Italian, the famous Il Galateo (1558), a treatise of manners, which has been translated into several languages, and in Latin, De officiis, and translations from Thucydides, Plato and Aristotle.

    398

    The principal literary results of his early years here were the Discours en vers sur l'homme, the play of Alzire and L'Enfant prodigue (1736), and a long treatise on the Newtonian system which he and Madame du Chatelet wrote together.

    399

    The produce, at first distributed amongst the citizens, was later a part of the state income, and forms the subject of some of the suggestions respecting the revenue in the treatise formerly ascribed to Xenophon.

    400

    The publication of Hume's treatise turned his attention to philosophy, and in particular to the theory of external perception.

    401

    The raising of Lazarus, in appearance a massive, definitely localized historical fact, requires a similar interpretation, unless we would, in favour of the direct historicity of a story peculiar to a profoundly allegorical treatise, ruin the historical trustworthiness of the largely historical Synoptists in precisely their most complete and verisimilar part.

    402

    The result was a treatise in which he deduced practical conclusions from the past history and present temper of the city, blending these with his favourite principles of government in general.

    403

    The result was his celebrated treatise De ver y obedientia, the ablest, certainly, of all the vindications of royal supremacy.

    404

    The revised Jerusalem Creed was quoted by Epiphanius in his treatise The Anchored One, c. A.D.

    405

    The royal courts refused to entertain suits of villeins against their lords, although there was a good deal of vacillation before this position was definitely taken up. Bracton still speaks in his treatise of the possibility for the courts to interfere against intolerable cruelty on the part of the lord involving the destruction of the villein's waynage, that is, of his ploughteam, and in the Notebook of Bracton there are a couple of cases which prove that r3th-century judges occasionally allowed themselves to entertain actions by persons holding in villenage against their lords.

    406

    The same break is to be found in the conception of the relation of receptive to active mind in the treatise Of the Soul.

    407

    The second treatise is addressed to J ohn the deacon (" Ad Joannem Diaconum "), and its subject is " Utrum Pater et Filius et Spiritus Sanctus de divinitate substantialiter praedicentur."

    408

    The Serious Call to a Devout and Holy Life (1728), together with its predecessor, A Treatise of Christian Perfection (1726), deeply influenced the chief actors in the great Evangelical revival.

    409

    The sight drops through a socket in a pivoted bracket which is provided From Treatise on Service Ordnance.

    410

    The standard treatise on the mathematical theory is Lord Rayleigh's Theory of Sound (2nd ed., 1894); this work also contains an account of experimental verifications.

    411

    The tegmentum is formed by the fold of mantle covering the From Lankester, Treatise on Zoology.

    412

    The term was used not in the modern sense of above or transcending nature (a sense which µeTa cannot bear), but simply to convey the idea that the treatise so-called comes " after " the physical treatises.'

    413

    The Theaetetus indeed, in which Plato essays to deal with them, is in the broad sense of the word logical, the first distinctively logical treatise that has come down to us.

    414

    The theory brought forward has not yet found a place in any systematic treatise in any language, so that it has been judged proper to give a fairly complete account of it.'

    415

    The three books of the older work formed a strictly technical geographical treatise.

    416

    The treatise chiefly deals with the capture of the hare; in the author's day the approved method was to find the hare in her form by the use of dogs; when found she was either driven into nets previously set in her runs or else run down in the open.

    417

    The treatise containing this important invention was made public by Baron von Zach under the title Ueber die leichteste and bequemste Methode die Bahn eines Cometen zu berechnen (Weimar, 1797).

    418

    The treatise De Architectura Libri Decem is dedicated to Augustus.

    419

    The treatise De divina praedestinatione, composed on this occasion, has been preserved, and from its general tenor one cannot be surprised that the author's orthodoxy was at once and vehemently suspected.

    420

    The Treatise is a reductio ad absurdum of the principles of Lockianism, inasmuch as these principles, when consistently applied, leave the structure of experience entirely " loosened " (to use Hume's own expression), or cemented together only by the irrational force of custom.

    421

    The treatise of Kessler on the osteology of birds' feet, published in the Bulletin of the Moscow Society of Naturalists for 1841, next.

    422

    The treatise on husbandry of Walter of Henley, dating from the early 13th century, is very valuable as describing the management of the demesne under the twoor three-field system.

    423

    The treatise on the Passover was occasioned by a work of Melito on the same subject.

    424

    The treatise passed through six editions in his lifetime, and in all of them he introduced various additions and corrections.

    425

    The treatise was therefore written before the birth of Boetius, if it be not a forgery; but there is no reason to suppose that the treatise was not a genuine production of the time to which it professes to belong.

    426

    The treatise which laid the foundation for all subsequent invertebrate palaeontology was his memoir, Sur les fossiles des environs de Paris..

    427

    The treatise Who is the Rich Man that is Saved?

    428

    The trigonometrical section of the book had been issued as a separate treatise (Wittenberg, 1542) under the care of Rheticus.

    429

    The truth is that Smith took up the science when it was already considerably advanced; and it was this very circumstance which enabled him, by the production of a classical treatise, to render most of his predecessors obsolete.

    430

    The two often engaged in friendly rivalry to try whether the orator or the actor could express a thought or emotion with the greater effect, and Roscius wrote a treatise in which he compared acting and oratory.

    431

    The unification of Italy in a state protected by a national army was the cherished dream of his life; and the peroration of the Principe shows that he meant this treatise to have a direct bearing on the problem.

    432

    The unpublished treatise of 1640 contained all or nearly all that he had to tell concerning human nature, but was written before the terrible events of the last years had disclosed how men might still be urged by their anti-social passions back into the abyss of anarchy.

    433

    The validity of such an hypothesis was attacked as early as the 4th century by Dionysius of Alexandria in the fragment of his treatise irEpi 7ray yeAuA;v, in Eusebius, H.E.

    434

    The vats for depositing may be of enamelled iron, slate, glazed earthenware, glass, lead-lined wood, &c. The current densities and potential differences frequently used for some of the commoner metals are given in the following table, taken from M ` Millan's Treatise on Electrometallurgy.

    435

    The very name of his historic treatise, De jure belli ac pacis (1625), shows the subordination of peace to the main subject of war.

    436

    The views which he expressed in his commentary on the pseudo-Boetian treatise, De Trinitate, are certainly much more important than the mediatizing systems already referred to.

    437

    The Vindex episode, referred to in the Six Lessons, becomes intelligible only by going beyond Molesworth to the original Latin edition of 1655 They were composed originally, in a somewhat different and rather more extended form, as the second part of an English treatise on Optics, completed by the year 1646.

    438

    The volume is interspersed, far more extensively and richly than any other treatise on the war, with reproductions of contemporary plans, maps, documents, portraits and prints.

    439

    The weak points in Hume's empiricism are so admirably realized Negative by the author himself that it is only fair to quote his own Negativ of summary in the Appendix to the Treatise.

    440

    The whole treatise inclines to run into dialogue.

    441

    The work consists of nine long chapters, each of which is a complete treatise in itself.

    442

    The work undoubtedly failed to do what its author expected from it; even the notice, otherwise not unsatisfactory, which it obtained in the History of the Works of the Learned, then the principal critical journal, did not in the least appreciate the true bearing of the Treatise on current discussions.

    443

    The works of English physicians of this period are of little medical value; but Lodge's Treatise of the Plague (London, 1603) deserves mention.

    444

    The works which were most read were the de Inventione and Topica - though neither of these was quite so popular as the treatise ad Herennium, then supposed to be by Cicero - and among the moral works, the de Officiis, and the Cato Maior.

    445

    Then followed in rapid succession the Twenty-seven Sermons (1651), "for the summer half-year," and the Twenty-five (1653), "for the winter half-year," The Rule and Exercises of Holy Living (1650), The Rule and Exercises of Holy Dying (1651), a controversial treatise on The Real Presence..

    446

    There is even a little treatise from the hand of Milton, published two years before his death, called Artis Logicae Plenior Institutio ad Petri Rami Methodum concinnata.

    447

    These essays Butler, to whom he had sent a copy of his Treatise, but with whom he had failed to make personal acquaintance, warmly commended.

    448

    These the author reserved for a second treatise which he was destined never to complete.

    449

    These works, together with the Prodigios del amor divino (1641), are now forgotten, but Nieremberg's version (1656) of the Imitation is still a favourite, and his eloquent treatise, De la hermosura de Dios y su amabilidad (1649), is the last classical manifestation of mysticism in Spanish literature.

    450

    They comprise fragments of the native historian Manetho, the descriptions of Egypt in Herodotus and Diodorus, the geographical accounts of Strabo and Ptolemy, the treatise of Plutarch on Isis and Osiris and other monographs or scattered notices of less importance.

    451

    They spoke a dialect of Turkish preserved in the Kudatku Bilik, a moral treatise composed in 1065.

    452

    This argument is most fully exhibited in a treatise entitled The Testimony of the King of Martyrs (1729).

    453

    This early work indicated that whilst there were a number of cases in which the square 1 A Treatise on Electricity and Magnetism (2 vols.), by James Clerk Maxwell, sometime professor of experimental physics in the university of Cambridge.

    454

    This important difference between the De Interpretatione and the Prior Analytics can only be explained by supposing that the former is the earlier treatise.

    455

    This little treatise stands almost alone in Proverbs; the great mass of its aphorisms relate to vices and faults which, though possible in any tolerably well-organized community, were specially prominent in the cities in which the Jews dwelt after the conquests of Alexander.

    456

    This method of finding the forms of the teeth of wheels forms the subject of an elaborate and most interesting treatise by Edward Sang.

    457

    This modified arrangement is adopted as being better suited than the original arrangement to the limits of an article in an encyclopaedia; but it is not disputed that the original arrangement may be the best for a separate treatise.

    458

    This point of view is applied in the Treatise universally.

    459

    This sentence from Browne's spiritual autobiography contains the root of the whole matter, and explains the title of his other chief work, also of 1582, A Treatise of Reformation without tarrying for any, and of the wickedness of those Preachers which will not reform till the Magistrate command or compel them.

    460

    This subject has been recently treated with admirable clearness by Marti in his useful treatise Die Religion des A.T.

    461

    This theme is not formally discussed, as in a theological treatise, but is rather, as it were, celebrated in lofty eulogy and application.

    462

    This theorem was published in 1643, at the end of his treatise De motu gravium projectorum, and it was confirmed by the experiments of Raffaello Magiotti on the quantities of water discharged from different ajutages under different pressures (1648).

    463

    This theory of the independence of the episcopate with regard to the Roman bishop was first propounded by Cyprian, in his treatise De unitate ecclesiae.

    464

    This they did while the Digest was in progress, and produced the useful little treatise which has ever since been the book with which students commonly begin their studies of Roman law, the Institutes of Justinian.

    465

    This treatise is shorter than the first, occupying only two or three pages, and the conclusion of the argument is the same.

    466

    This treatise was intended to illustrate and explain his map of the world.

    467

    This treatise was probably composed at a date not very different from that of the Leiden papyrus.

    468

    This very remarkable treatise forms the groundwork of almost all later or recent researches in the comparative anatomy and consequent arrangement of the Passeres, and, though it is certainly not free from inperfections, many of them, it must be said, arise from want of material, notwithstanding that its author had command of a much more abundant supply than was at the disposal of Nitzsch.

    469

    This was more flagrantly illustrated in one of his latest works, The Treatise Concerning the Use and Abuse of the Marriage Bed (1727), which was originally issued with a much more offensive name, and has been called "an excellent book with an improper title."

    470

    Thudichum, in his Treatise on Wines, gives a striking and almost poetical description of it as compared with Jerez.

    471

    Thus " Socratitus " is merely an accident of the substance "humanitas," or, as it is put by the author of the treatise De generibus et speciebus, 1 " Man is a species, a thing essentially one (res una essentialiter), which receives certain forms which make it Socrates.

    472

    Thus, in the treatise known as Physica et Mystica and falsely ascribed to Democritus (such false attributions are a constant feature of the literature of alchemy), various receipts are given for colouring and gilding metals, but the conception of transmutation does not occur.

    473

    To each extract there is prefixed the name of the author, and of the treatise whence it is taken.'

    474

    To examine all the causes which may vitiate emendations would mean writing a treatise upon human frailty.

    475

    To the days of his early desert life is probably to be assigned the treatise On Priesthood, a book full of wise counsel.

    476

    To the latter Hugh Blair seems to refer when, in his work on Rhetoric and Belles-Lettres (1783), he acknowledges his obligations to a manuscript treatise on rhetoric by Smith, part of which its author had shown to him many years before, and which he hoped that Smith would give to the public. Smith had promised at the end of his Theory of Moral Sentiments a treatise on jurisprudence from the historical point of view.

    477

    To these must be added his elaborate treatise on Shipbuilding, Theoretical and Practical.

    478

    To these should be added his version from the Arabic (which language he acquired for the purpose) of the treatise of Apollonius De sectione rationis, with a restoration of his two lost books De sectione spatii, both published at Oxford in 1706; also his fine edition of the Conics of Apollonius, with the treatise by Serenus De sectione cylindri et coni (Oxford, 1710, folio).

    479

    To this, the first elementary treatise on determinants, much of the rapid development of the subject is due.

    480

    Tozer 2 as the father of geography on account of his Periodos, or general treatise on the earth, did not advance beyond the primitive conception of a circular disk.

    481

    Two ancient grammarians, Xeno and Hellanicus, were known as the " separators " (oi xcop4"ov-res); and Aristarchus appears to have written a treatise against their heresy.

    482

    Two fragments of this treatise were given by Petavius, and are contained in the modern editions.

    483

    Vieta thereupon proposed a simpler construction, and restored the whole treatise of Apollonius in a small work, which he entitled Apollonius Gallus (Paris, 1600).

    484

    Wallis having meanwhile published other works and especially a comprehensive treatise on the general principles of calculus (Mathesis universalis, 1657), he might take this occasion of exposing afresh the new-fangled methods of mathematical analysis and reasserting his own earlier positions.

    485

    We have now also the text of the Prajna Paramita, a later treatise on the Mahayana system, which in time entirely replaced in India the original doctrines.

    486

    We possess, in other words, law-books (like Bracton's treatise De legibus), but not laws - and law-books made after the loss of the kingdom to which the laws belonged.

    487

    What is thus suggested is not a rash departure from the general point of view of idealism (by its achievements in every field to which it has been applied, " stat mole sua ") but a cautious inquiry into the possibility of reaching a conception of the world ' The most striking statement of this argument is to be found in Boutroux's treatise De la contingence des lois de la nature, first published in 1874 and reprinted without alteration in 1905.

    488

    When twenty-one years of age he composed a treatise on the figure of the earth, and the reputation which he soon acquired led to his appointment by the king of Sardinia to the professorship of philosophy in the college of Casale.

    489

    While in his treatise Quod omnis, &c., Philo speaks of their avoiding towns and preferring to live in villages, in his "Apology for the Jews" we find them living in many cities, villages, and in great and prosperous towns.

    490

    While the first has the form of a treatise, the second is an address to God; the first, though it has the Jewish people in mind, does not refer to them by name except incidentally in Solomon's prayer; the second is wholly devoted to the Jewish national experiences (this is true even of the section on idolatry).

    491

    While, then, the general idea of a theory of knowledge as based upon psychological analysis is the groundwork of the Treatise, it is a particular consequence of this idea that furnishes to Hume the characteristic criterion applied by him to all philosophical questions.

    492

    Whilst it can hardly be allowed that Xenophanes, so far from denying, actually affirms a plurality of gods, it must be conceded to Freudenthal that Xenophanes's polemic was directed against the anthropomorphic tendencies and the mythological details of the contemporary polytheism rather than against the polytheistic principle, and that, apart from the treatise De Melisso Xenophane et Gorgia, now generally discredited, there is no direct evidence to prove him a consistent monotheist.

    493

    William Oughtred, a contemporary of Harriot, published an algebra, Clavis mathematicae, simultaneously with Harriot's treatise.

    494

    William Twici, indeed, who was huntsman-in-chief to Edward Fox II., and who wrote in Norman French a treatise on hunting, 6 mentions the fox as a beast of venery, but obviously as an altogether inferior object of sport.

    495

    With few exceptions all the known events of Defoe's life are connected with authorship. In the older catalogues of his works two pamphlets, Speculum Crapegownorum, a satire on the clergy, and A Treatise against the Turks, are attributed to him before the accession of James II., but there seems to be no publication of his which is certainly genuine before The Character of Dr Annesley (1697).

    496

    With Lord Kelvin he collaborated in writing the well-known Treatise on Natural Philosophy.

    497

    With Plutarch, who dedicated to him his treatise IIEpi Tov irpwrov 11vxpov, with Herodes Atticus, to whom he bequeathed his library at Rome, with Demetrius the Cynic, Cornelius Fronto, Aulus Gellius, and with Hadrian himself, he lived on intimate terms; his great rival, whom he violently attacked in his later years, was Polemon of Smyrna.

    498

    With this view he composed a treatise on The Laws and Discipline of Sacred War, which he presented to Saladin, who received it with peculiar favour.

    499

    Wittich in 1584 made known at Cassel the calculation of one case by this prosthaphaeresis; and Justus Byrgius proved it in such a manner that from his proof the extension to the solution of all triangles could be deduced.3 Clavius generalized the method in his treatise De astrolabio (1593), lib.

    500

    Zschokke (1900) is an important treatise on an interesting department of alpine natural history.