Exact in A Sentence

    1

    A close study of the exact modes of evolution and of the philosophy of evolution is the distinguishing feature of this period.

    2

    A comparison between the exports and imports of the years 1886 and 1905 will give an exact idea of the rate at which the port of Venice developed.

    3

    A large part of the Temple records from that time onwards were destroyed under the Restoration, so that exact knowledge of the facts is practically impossible.

    4

    A man of great oratorical power, Anthim delivered a series of sermons (Didahii), and some of his pastoral letters are models of style and of language as well as of exact and beautiful printing.

    5

    A problem to which he returned repeatedly was that of separating nickel and cobalt from their ores and freeing them from arsenic; and in the course of his long laboratory practice he worked out numerous processes for the preparation of pure chemicals and methods of exact analysis.

    6

    About this time (the exact chronology is uncertain) Ethelstan expelled Sihtric's brother Guthfrith, destroyed the Danish fortress at York, received the submission of the Welsh at Hereford, fixing their boundary along the line of the Wye, and drove the Cornishmen west of the Tamar, fortifying Exeter as an English city.

    7

    According to Ibn Khaqan, a contemporary writer, he became a student of the exact sciences and was also a musician and a poet.

    8

    According to Strabo the most valuable mines were worked at a place called Tamasus, in the centre of the island, on the northern slopes of Mount Olympus, but their exact site has not been identified.

    9

    According to the Indian conception, these belts could tell by means of an interpreter the exact rule, provision or transaction talked into them at the time and of which they were the exclusive record.

    10

    Accordingly, some years after the fall of Jerusalem - we cannot tell the exact date or the author's name - the book which we call the Gospel according to St Matthew was written to give the Palestinian Christians a of St full account of Jesus Christ, which should present Him as the promised Messiah, fulfilling the ancient Hebrew prophecies, proclaiming the kingdom of heaven, and founding the Christian society.

    11

    After Baha-uddin's death in 1231, Jalal-uddin went to Aleppo and Damascus for a short time to study, but, dissatisfied with the exact sciences, he returned to Iconium, where he became by and by professor of four separate colleges, and devoted himself to the study of mystic theosophy.

    12

    All are models of exact scholarship and skilful use of materials.

    13

    All exact relations pertaining to the mensuration of the circle involve the ratio of the circumference to the diameter.

    14

    All the fossil plants and animals of every kind are brought from this continent into a great museum; the latitude, longitude and relative elevation of each specimen are precisely recorded; a corps of investigators, having the most exact and thorough training in zoology and botany, and gifted with imagination, will soon begin to restore the geographic and physiographic outlines of the continent, its fresh, brackish and salt-water confines, its seas, rivers and lakes, its forests, uplands, plains, meadows and swamps, also to a certain extent the cosmic relations of this continent, the amount and duration of its sunshine, as well as something of the chemical constitution of its atmosphere and the waters of its rivers and seas; they will trace the progressive changes which took place in the outlines of the continent and its surrounding oceans, following the invasion§ of the land by the sea and the re-emergence of the land and retreatal of the seashore; they will outline the shoals and deeps of its border seas, and trace the barriers which prevented intermingling of the inhabitants of the various provinces of the continent and the surrounding seas.

    15

    All the north-western part is occupied by a high plateau, bordered by the Great Khingan range, whose exact position in the region is not yet definitely settled.

    16

    All these writers attacked the problem of descent, and published preliminary phylogenies of such animals as the horse, rhinoceros and elephant, which time has proved to be of only general value and not at all comparable to the exact phylogenetic series which were being established by invertebrate palaeontologists.

    17

    Although even good membranes of copper ferrocyanide are rarely perfectly semi-permeable, and in other membranes such as indiarubber, &c., which have been used, the defects from the theoretical values of the equilibrium pressure are very great, yet, in the light of the exact verification of theory given by the experiments described above, it is evident that such failures to reach the limiting value in no wise invalidate the theory of osmotic equilibrium.

    18

    Amongst Cavendish's important contributions were his exact measurements of electrical capacity.

    19

    An encomienda was required by anyone who wished to exact labour, i.e.

    20

    An exact and conscientious worker, he did much to improve and systematize the processes of analytical chemistry and mineralogy, and his appreciation of the value of quantitative methods led him to become one of the earliest adherents of the Lavoisierian doctrines outside France.

    21

    An exact transcript of the Journal has been issued by the Cambridge University Press.

    22

    And here the controversy did not turn on the exact fulfilment of detailed predictions; detailed prediction occupies a very secondary place in the writings of the prophets.

    23

    Anshan is a district of Elam or Susiana, the exact position of which is still subject to much discussion.

    24

    Apart from their philological interest, as giving the history of a remarkable language during a period of several thousand years, the grammatical studies of the last quarter of the I9th century and afterwards are beginning to bear fruit in regard to the exact interpretation of historical documents on Egyptian monuments and papyri.

    25

    Arculf is the first to mention the column at Jerusalem, which claimed to mark the exact centre of the Inhabited Earth, and later became one of the favourite Palestine wonders.

    26

    As a military commander Cromwell was as prompt as Gustavus, as ardent as Conde, as exact as Turenne.

    27

    As he felt free to make slight changes, the first edition does not represent the exact text of 1530; the edition of 1 533 was further improved, while that of 1540, rearranged and in part rewritten, is known as the Variata.

    28

    As It Had Now Been Discovered That The Exact Length Of The Lunation Is A Little More Than Twenty Nine And A Half Days, It Became Necessary To Abandon The Alternate Succession Of Full And Deficient Months; And, In Order To Preserve A More Accurate Correspondence Between The Civil Month And The Lunation, Meton Divided The Cycle Into 125 Full Months Of Thirty Days, And 110 Deficient Months Of Twenty Nine Days Each.

    29

    As Marcet had foreshadowed from the analysis of 14 samples in 1819, the larger series of exact analyses proved that the variations in the proportion of individual salts to the total salts are very small, and all analyses since Dittmar's have confirmed this result.

    30

    As to the exact dates of early Egyptian history there is rather more of vagueness than for the corresponding periods of Mesopotamia.

    31

    As yet they have yielded no trace of fossils, and their exact age is consequently unknown.

    32

    At present we cannot assign a more exact value than Uo = 331 metres per second.

    33

    At the beginning of the 5th century the Roman legions left Britain, and the Saxon Chronicle gives the exact date, stating that never since A.D.

    34

    At the beginning of the I 9th century the country was divided into some hundred states, but there was no central agency for instituting an exact census on a uniform plan.

    35

    At the peace of Utrecht, concluded in 1713, the interests of the Netherlands were but half-heartedly supported by the English plenipotentiaries, and the French were able to obtain far more favourable terms than they had the power to exact.

    36

    At the receiving station electrical mechanisms record the signals once more as perforations in a paper strip forming an exact replica of the transmitting tape.

    37

    At the time of Rienzi's unfortunate enterprise it sent ten ambassadors to pay him honour; and, when papal legates sought to coerce it by foreign soldiers, or to exact contributions, they met with vigorous resistance.

    38

    At this period an exact knowledge of the depths of the ocean off after the beginning of the south-west monsoon to a minimum assumed an unlooked-for practical importance from the daring in August, the total range being 92 in.

    39

    At what exact date this London church - which had a more or less continuous history down to and beyond 1624 - was actually formed, is open to doubt.

    40

    Avoid all poetical similes; be faithful to the perfect likelihoods of nature - healthy, exact, simple, disdaining ornaments.

    41

    Bacon himself, as may be seen from the passage quoted above, finds great difficulty in giving an adequate and exact definition of what he means by a form.

    42

    Because of its reliability, agriculture will become more like an exact science.

    43

    Beyond the fact that it was found at Nippur during the fourth of the American expeditions, there does not appear to be any exact record of its provenance; and, in order to determine its date, it is necessary to rely on the external and internal evidence furnished by the tablet itself.

    44

    Both of these theories therefore are rather working equivalents than original derivations; or at least the interrelation was allowed to become far from exact.

    45

    Both sides concur in the position assumed by Darwin, that the word "chance" in such a phrase as "chance variation" does not mean that the occurrences are independent of natural causation and so far undetermined, but covers in the first place our ignorance of the exact causation.

    46

    Both the personal character and the literary accuracy of Llorente have been assailed, but although he was not an exact historian there is no doubt that he made an honest use of documents relating to the Inquisition which are no longer extant.

    47

    But a fairly exact statement of the numbers sold in the great public trade auction sales in London during the year 1905-1906 is herewith set out.

    48

    But before this event John had instituted a great inquiry, the inquest of service of June 1212, for the purpose of finding out how much he could exact from each of his vassals, a measure which naturally excited some alarm; and then, fearing a baronial rising, he had abandoned his proposed expedition into Wales, had taken hostages from the most prominent of his foes, and had sought safety in London.

    49

    But exact data for comparison do not exist for other countries than the United States.

    50

    But for its large size - it grows to a length of eleven inches - it is a nearly exact image of the British newt larvae.

    51

    But his powers of patient research and of quick and exact observation were about to be put to a severe test.

    52

    But the exact meaning which he attaches to such expressions is not quite clear; and they occur, moreover, only incidentally and with the air of current phrases mechanically repeated.

    53

    But the exact period of transition is not clearly marked.

    54

    But the question as to whether albinoes are more or less constitutionally vigorous than pigmented individuals of the same species may be tested by exact measurement.

    55

    But there exists no account at first hand of the exact facts, and Swedenborg's own reference to one of these instances admits of another explanation than the supernatural one.

    56

    But to his wide, deep and accurate learning, to his conscientious and impartial examination of the facts and the authorities at first hand, and to "his exact quotation of the sources and works illustrating them, and careful discussion of the most minute details," all succeeding historians are indebted.

    57

    But whatever its exact attributes, as he conceived it, it was still strictly a congregational office.

    58

    But Zarlino uncompromisingly declared that the syntonous or intense diatonic scale was the only form that could reasonably be sung; and in proof of its perfection he exhibited the exact arrangement of its various diatonic intervals, to the fifth inclusive, in every part of the diapason or octave.

    59

    But, as applied to lower and more obscure forms of life, teleology presented alfnost insurmountable difficulties; and consequently, in place of exact experiment and demonstration, the most reckless though ingenious assumptions were made as to the utility of the parts and organs of lower animals.

    60

    By his psychophysics he meant the exact doctrine of the relations of dependency between physical and psychical.

    61

    By this means we have a convenient mode of expressing on paper the exact position of the leaves upon an axis.

    62

    Carpenter (1899, 1902-1904) has lately endeavoured to show an exact numerical correspondence in segmentation between the Hexapoda, the Crustacea, the Arachnida, and the most primitive of the Diplopoda.

    63

    Clauberg was one of the earliest teachers of the new doctrines in Germany and an exact and methodical commentator on his master's writings..

    64

    Clearly, then, the exact meaning of the term varies according to those who use it and those to whom it is applied.

    65

    Clifford, The Common Sense of the Exact Sciences (1885), chapters i.

    66

    Coulomb (1736-1806), who in France addressed himself to the same kind of exact quantitative work as Cavendish in England.

    67

    Cross station of the South-Eastern & Chatham railway, in the courtyard of which a fine modern cross has been erected within a few feet of the exact site.

    68

    Cuvier (1769-1832) is famous as the founder of vertebrate palaeontology, and with Alexandre Brongniart (1770-1847) as the author of the first exact contribution to stratigraphic geology.

    69

    Dean just smiled, wondering how Ginger and Joseph would know where brother and sister-in-law were if they themselves hadn't lied like the proverbial rug and done the exact same thing as the pair they were accusing.

    70

    Diptera are divided into some sixty families, the exact classification of which has not yet been finally settled.

    71

    Early in the morning Wellington (still ignorant of the exact position of his ally) sent out an officer, with an adequate escort, to establish touch with the Prussians.

    72

    Empiricism, hitherto the only guide, if indeed a guide at all, was replaced by exact scientific knowledge; the connexion of each phenomenon with a controllable cause was established, and rule-of-thumb and quackery banished for ever by the free gift to the world of the results of his researches.

    73

    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."

    74

    Everything was, however, replaced in the exact position it had previously occupied.

    75

    Exact dates are fixed for long series of events that previously were quite unknown.

    76

    Exact equality of the two observed periods (Ti, T2, say) cannot of course be secured in practice, and a modification is necessary.

    77

    Exact statistics are not available as regards either race or religion.

    78

    Exact statistics of the membership of the Churches of the Oriental rite are almost impossible to obtain; the numbers of their adherents, moreover, are apt to vary suddenly with the shifting currents of political forces in the East, for political factors have always played a considerable part in these movements towards reunion or the reverse.

    79

    Except in the few special cases when a uniform external field produces uniform magnetization, the value of the demagnetizing force cannot be calculated, and an exact determination of the actual magnetic force within the body is therefore impossible.

    80

    Experimental methods were devised for the further exact measurements of the electromagnetic velocity and numerous determinations of the dielectric constants of various solids, liquids and gases, and comparisons of these with the corresponding optical refractive indices were conducted.

    81

    Experimental pathology has benefited by the use of antiseptic surgery in operations upon animals, and by the adoption of exact methods of recording.

    82

    Fabre found that a Chalicodoma removed to a distance of 4 kilometres from the nest that she was building, found her way back without difficulty to the exact spot.

    83

    Figures are not available for any exact comparison of outlay and return in other countries, but the earnings in European countries generally run to about half the expenditure.

    84

    Finally, he made substantial progress with more exact calculations of the motions of the solar system, especially for the case of the moon.

    85

    Finally, it is on the whole in keeping with Mill's presuppositions to admit even in the case of the method of difference that in practice it is approximative and instructive, while the theoretical formula, to which it aims at approaching asymptotically as limit, if exact, is in some sense sterile.

    86

    For history, applied mathematics - for anything, in fact, outside the exact sciences - he felt something approaching to contempt.

    87

    For its exact contents see Kolbing, in Englische Studien, iii.

    88

    For most practical purpose a knowledge of the exact position of the poles is of no importance; the magnetic moment, and therefore the mean magnetization, can always be determined with accuracy.

    89

    For the exact determination of the last element the census affords no precise data, but affords material for various approximations, based either upon the elimination of the probable progeny of immigrants since 1790; on the known increase of the whites of the South, where the foreign element has always been relatively insignificant; on the percentage of natives having native grandfathers in Massachusetts in 1905; or upon the assumed continuance through the 19th century of the rate of native growth (one-third decennially) known to have prevailed down at least to 1820.

    90

    For the production of coloured sheet-glass, however, the employment of pot furnaces is still almost universal, probably because the quantities of glass required of any one tint are insufficient to employ even a small tank furnace continuously; the exact control of the colour is also more readily attained with the smaller bulk of glass which has to be dealt with in pots.

    91

    For the purposes of scientific topography observation of the natural features and outlines is followed by exact investigation of the architectural structures or remnants, a process demanding high technical competence, acute judgment and practical experience, as well as wide and accurate scholarship. The building material and the manner of its employment furnish evidence no less important than the character of the masonry, the design and the modes of ornamentation.

    92

    For the sake of homogeneity the articles on these persons or places are also given under these forms, but in such cases, the exact forms, according to the system of transliteration adopted, are there given in addition.

    93

    Fox, of the Central Laboratory of the International Council at Christiania, has investigated the relation of the atmospheric gases to sea-water by very exact experimental methods and arrived at the following expressions for the absorption of oxygen and nitrogen by sea-water of different degrees of concentration.

    94

    From it the exact time is conveyed each day at one o'clock by electric signal to the chief towns throughout the country; British and the majority of foreign geographers reckon longitude from its meridian.

    95

    From the first he appreciated the importance of accurate measurement, and all through his life the attainment of exact quantitative data was one of his chief considerations.

    96

    From these we judge that he had great narrative power, with much clear and exact learning, and must be placed high as a critical historian.

    97

    Further, he extended the work of Maurolycus, and demonstrated the exact analogy between the eye and the camera and the arrangement by which an inverted image is produced on the retina.

    98

    Further, the greater the dissipation of energy the less is the prominence of the amplitude of vibration for exact coincidence over the amplitude when the periods are not quite the same, though it is still the greatest for coincidence.

    99

    Gabriel knew Darkyn well enough to know the demon lord would exact no small fee for these favors.

    100

    Germanicus Caesar, during his tenure of the command of the Roman armies on the Rhine, made repeated attempts to recover the Roman position in northern Germany and exact vengeance for the death of Varus, but without real success, and after his recall the Rhine formed for the greater part of its course the boundary of the Empire.

    101

    He admits that his quotations are not always exact, but asserts that this was the fault of careless copyists.

    102

    He derived a revenue from taxes which he was empowered to exact.

    103

    He enforced discipline and exact conformity within the church with an iron hand; and over 200 clergymen were deprived of their livings for disobedience to the ex animo form of subscription.

    104

    He followed up the early work of the British Association Committee on electrical units by a fresh determination of the ohm in absolute measure, and in conjunction with other work on the electrochemical equivalent of silver and the absolute electromotive force of the Clark cell may be said to have placed exact electrical measurement on a new basis.

    105

    He had an exact knowledge of classical German writings, more especially of Goethe's, and of the literature connected with him.

    106

    He had aristocratic privileges and responsibilities, the right to exact retaliation for corporal injuries, and liability to heavier punishment for crimes and misdemeanours, higher fees and fines to pay.

    107

    He investigated the exact relation of fungus and alga and showed that the same alga is able to combine with a number of different fungi to form lichens; thus Chroolepns umbrinus is found as the gonidia of 13 different lichen genera.

    108

    He is the exact opposite of the miraculous personage of later legend - a mere man, standing always on the solid ground of reality, whose only arms are trust in his God and the protection of his powerful allies.

    109

    He is very exact in his dates, and attained, he says, the highest stage of his ecstasy four years and three months after the beginning of his conversion.

    110

    He knew there wasn't a straight man alive who wouldn't have that exact reaction to her.

    111

    He knows what settings control each but it's far from exact.

    112

    He mastered them thoroughly, gained a minute acquaintance with every detail of the soldier's life, learned the precise amount of food required for every mouth, the exact weight that could be carried, the distances that could be traversed without exhaustion, the whole body of conditions in short which govern the military activity of man and beast.

    113

    He now devoted himself to an exact study of biblical and patristic writers, especially Basil and Chrysostom.

    114

    He urged that history is not to be treated as an exact science, and that the effects of individual character and the operations of the human will necessarily render generalizations vague and consequently useless.

    115

    He was a diligent seeker after the truth, and was perfectly sincere when he informed a critic of the exact number of "truths" he had discovered, and when he remarked to one of his pupils a few days before his death, "Rest assured that what I have written in my book is the truth."

    116

    He was able to exact an oath of fidelity from the archbishops, named many of the bishops, and asserted the right to transfer and dispose them.

    117

    He was an idealist; but his idealism was of a type the exact reverse of that which the Revolution in arms had sought to impose upon Europe.

    118

    He was anxious to make sure that his readers would understand his exact meaning, and to guard them against all possible misconceptions.

    119

    He was constitutionally inaccurate, and seems to have been unable to represent the exact sense of a document which lay before him, or even to copy from it correctly.

    120

    He was not taught to compose either in Latin or in Greek, and he was never an exact scholar; it was for the subject matter that he was required to read, and by the age of ten he could read Plato and Demosthenes with ease.

    121

    Hence there is confusion on every side; it is difficult to distinguish between various sects and to determine their exact opinions or the circumstances under which they came into being.

    122

    Hence there is much doubt as to his exact meaning.

    123

    Her cell phone rang at the exact time she was certain that her head would burst.

    124

    Here its exact position is matter of con- section.

    125

    His application of the pendulum to regulate the movement of clocks sprang from his experience of the need for an exact measure of time in observing the heavens.

    126

    His carefulness was exemplary, and his references are always exact.

    127

    His exact words weren't important – especially because they weren't true.

    128

    His extensive and exact legal erudition, and the skill with which he argued the intricate libel case of Lord Cromwell (4 Rep. 13), and the celebrated real property case of Shelley (1 Rep. 94, 104), soon brought him a practice never before equalled, and caused him to be universally recognized as the greatest lawyer of his day.

    129

    His originality lies in trying to discover an exact mathematical relation between them.

    130

    His right to exact military, financial and judicial duties for the state he had used to force men to become his dependants, and then he had stood between them and the state, freeing them from burdens which he threw with increased weight upon those who still stood outside his personal protection.

    131

    His works have unfortunately come down to us in such a fragmentary condition that it is difficult to obtain from them any very exact notion of his intellectual and literary importance.

    132

    Holm, a Danish traveller, had made an exact replica of the tablet, which in 1908 was deposited in the Metropolitan Museum of Art, New York.

    133

    However, the terms are incapable of exact definition, and are only useful when used in a very general way.

    134

    However, until more is known of the exact chemical composition of naturalas contrasted with agriculturalsoils, and until more is known of the physiological effects of lime, it is impossible to decide the vexed question of the relation of limeloving and lime-shunning plants to the presence or absence of calcium carbonate in the soil.

    135

    Hull published accounts of an exact and extensive research, in which the principle had been fully and precisely confirmed as regards both transparent and opaque bodies.

    136

    Huxley (1825-1895), all of whom individually contributed very greatly by their special discoveries and researches to the increase of exact knowledge.

    137

    I didn't have an exact date.

    138

    I having most willingly and gladly done the same, finde it to bee most exact and precisely conformable to my minde and the originall.

    139

    If in unit mass of any phase we have n components instead of one we must know the amount of n - I components present in that unit mass before we know the exact composition of it.

    140

    If the calculation be carried farther backas has been done by the seismic disaster investigation committee of Japan, a body of scientists constantly engaged in studying these phenomena under government auspices,it is found that, since the countrys history began to be written in the 8th century AD,, there have been 2006 major disturbances; but inasmuch as 1489 of these occurred before the beginning of the Tokugawa administration (early in the 17th century, and therefore in an era when methods of recording were comparatively defective), exact details are naturally lacking.

    141

    If the two places are upon the same meridian or upon the equator the exact distance separating them is to be found by reference to a table giving the lengths of arcs of a meridian and of the equator.

    142

    If we did hit the exact mark, apparently we need no longer be immortal.

    143

    If, however, the weight in a degraded form, and the foot in an undegraded form, come from the East, it is needless to look for an exact relation between them, but rather for a mere working equivalent, like the 1000 ounces to the cubit foot in England.

    144

    If, now, the apparatus be so set that the notes from the upper and lower chest are in unison, the upper fixed plate may be placed in four positions, such as to cause the air-current to be cut off in the one chest at the exact instant when it is freely passing through the other, and vice versa.

    145

    In 1526 he was sent out in command of an expedition fitted out for the purpose of determining by astronomical observations the exact line of demarcation, under the treaty of Tordesillas, between the colonizing spheres of Spain and Portugal, and of conveying settlers to the Moluccas.

    146

    In 1665 and 1666 he published the second and first volumes respectively of the Exact Chronological Vindication and Historical Demonstration of the supreme ecclesiastical jurisdiction exercised by the English kings from the original planting of Christianity to the death of Richard I.

    147

    In 1714 Ditton published his Discourse on the Resurrection of Jesus Christ; and The New Law of Fluids, or a Discourse concerning the Ascent of Liquids in exact Geometrical Figures, between two nearly contiguous Surfaces.

    148

    In actual practice, surds mainly arise out of mensuration; and we can then give an exact definition by graphical methods.

    149

    In an age when, with the evolution of the feudal organization cf society, even everyday costume was becoming a uniform, symbolizing in material and colour the exact status of the wearer, it was natural that in the parallel organization of the Church the official vestments should undergo a similar process of differentiation and definition.

    150

    In an antilogarithmic table, the logarithms are exact quantities such as 00001, 00002, &c., and the numbers are incommensurable.

    151

    In an experiment described by Rayleigh such a wheel provided with four armatures was used to determine the exact frequency of a driving fork known to have a frequency near 32.

    152

    In another respect also he aided in establishing an exact science of medicine by the introduction of the numerical or statistical method.

    153

    In Arabia progress has been slower, although the surveys carried out by Colonel Wahab in connexion with the boundary determined in the Aden hinterland added more exact geographical Arabia.

    154

    In connecting the lunar month with the solar year, the framers of the ecclesiastical calendar adopted the period of Meton, or lunar cycle, which they supposed to be exact.

    155

    In dealing, therefore, with dilute solutions, it is only necessary to state that the solutions are dilute, the exact degree of dilution being unimportant.

    156

    In France itself he trained at the Ecole des Chartes and the College de France a band of disciples who continued the traditions of exact research that he established.

    157

    In many cases he has repeated the exact words of Socrates, but with him they have passed almost into mere phrases.

    158

    In Order To Investigate A Formula For The Epact, Let Us Make E=The True Epact Of The Given Year; J =The Julian Epact, That Is To Say, The Number The Epact Would Have Been If The Julian Year Had Been Still In Use And The Lunar Cycle Had Been Exact;, S =The Correction Depending On The Solar Year; M =The Correction Depending On The Lunar Cycle; Then The Equation Of The Epact Will Be E=J S M; So That E Will Be Known When The Numbers J, S, And M Are Determined.

    159

    In reality it is impossible to assign any exact dates for the opening and close of such a period.

    160

    In recent times, especially since the rapid increase in the study of the exact sciences during the 19th century, observations at sea with accurate instruments have become common, and the ships' logs of to-day are provided with headings for entering daily observations of the phenomena of the seasurface.

    161

    In rigour of speech, neither of them; for to speak after the exact manner of divinity, there is but one only sacrifice, veri nominis, that is Christ's death.

    162

    In such a colony of connected individuals, the exact limits of the separate " persons ” are not always clearly marked out.

    163

    In the breeding season much of its love-performance is exhibited on the ground, and the sounds to which it gives rise are of another character; but the exact way in which its "drumming" is effected has not been ascertained.

    164

    In the case of mathematical functions certain conditions of continuity are satisfied, and the extent to which the value given by any particular formula differs from the true value may be estimated within certain limits; the main inaccuracy, in favourable cases, being due to the fact that the numerical data are not absolutely exact.

    165

    In the case of the original Repsold plan without clockwork the description is not quite exact, because both the process of following the object and correcting the aim are simultaneously performed; whilst, if the clockwork runs uniformly and the friction-disk is set to the proper distance from the apex of the cone, the star will appear almost perfectly at rest, and the observer has only to apply delicate corrections by differential gear - a condition which is exactly analogous to that of training a modern gun-sight upon a fixed object.

    166

    In the ceremony of homage and investiture, which is the creative contract of feudalism, the obligations assumed by the two parties were, as a rule, not specified in exact terms. They were determined by local custom.

    167

    In the former case there is no later chance to remove sulphur, a minute quantity of which does great harm by leading to the formation of cementite instead of graphite and ferrite, and thus making the cast-iron castings too hard to be cut to exact shape with steel tools; in the latter case the converting or purifying processes, which are essentially oxidizing ones, though they remove the other impurities, carbon, silicon, phosphorus and manganese, are not well adapted to desulphurizing, which needs rather deoxidizing conditions, so as to cause the formation of calcium sulphide, than oxidizing ones.

    168

    In the post-Vedic period ` right ' or ` wrong ' simply means the exact performance or the neglect, whether intentional or unintentional - of all the details of a prescribed ritual, the centre of which was the sacrifice.

    169

    In the treatment of the relative motions of a limited system, we may use a confessedly provisional base, though it may be necessary to introduce corrections, either exact or approximate, to take account either of the existence of bodies outside the system, or of the rotation of the base employed relative to a more correct one.

    170

    In the van Ruymbeke process the spent lyes are allowed to settle, and then treated with "persulphate of iron," the exact composition of which is a trade secret, but it is possibly a mixture of ferric and ferrous sulphates.

    171

    In the Veda no tendency shows itself as yet towards rendering divine honour to the cow; and though the importance assigned her in an agricultural community is easily understood, still the exact process of her deification and her identification with the mother earth in the time of Manu and the epics requires further elucidation.

    172

    In these his language is vigorous and dignified; he states the results of his labour and thought with freshness and lucidity; tells numberless stories in a most delightful manner, and exhibits a wonderful talent for the representation of personal character; the many portraits of historic persons of all orders which he draws in these prefaces are as brilliant in execution as they are exact and convincing.

    173

    In view of the.great difference in the legal position of the free man and of the villein in feudal common law, it became very important to define the exact nature of the conditions on which the status of a villein depended.

    174

    In western Asia we have learned the exact value of the mountain barrier which lies between Mery and Herat, and have mapped Indian its connexion with the Elburz of Persia.

    175

    Information about the Hindu Kush and Chitral is now comparatively exact.

    176

    Invulnerable in exact anatomical description and comparison, he failed in all his philosophical generalizations, even in those strictly within the domain of anatomy.

    177

    It can be said confidently that the truth is between these two extremes (though in what exact year it is not easy to say), as will be evident from a consideration of the arguments urged, which in each case appear less to prove one extreme than to disprove its opposite.

    178

    It consists of brief notes - generally very exact and sometimes ironical - which go as far as the year 1522.

    179

    It contains a "hall of a thousand pillars," one of numerous such halls in India, the exact number of pillars in this case being 984; each is a block of solid granite, and the roof of the principal temple is of copper-gilt.

    180

    It differs from them in being grounded on exact and verified research.

    181

    It has the exact vapour-density corresponding to the formula.

    182

    It is a very secondary question what is their exact date.

    183

    It is an experimental or observational science, founded on primary or immediate judgments (in his phraseology, perceptions), of relation between facts of intuition; its conclusions are hypothetical only in so far as they do not imply the existence at the moment of corresponding real experience; and its propositions have no exact truth.

    184

    It is certain that, in the general average, year after year, the force with which Mercury is drawn toward the sun does vary from the exact inverse square of its distance from the sun.

    185

    It is equally impossible to draw an exact line between variation induced by the environment and variation that may be termed intrinsic. Extrinsic and intrinsic factors are involved in every case, although there is a range from instances in which the external factor appears to be extreme to instances where the intrinsic factor is dominant.

    186

    It is evident that for exact diatonic scales for even a limited number of key-notes, key-board instruments would have to be provided with a great number of separate strings or pipes, and the corresponding keys would be required.

    187

    It is less easy to make out the exact effect on the rest of Sicily of the three years' career of Dion.

    188

    It is not easy to decide as to his exact attitude towards Judaism.

    189

    It is not easy to determine the exact point at which the impulses fuse into a continuous tone, for higher tones are usually present with the deepest of which the frequency is being counted, and these may be mistaken for it.

    190

    It is not possible from the available data to fix the exact date of any of these topes, but it may be stated that the smaller topes are probably of different dates both before and after Asoka, and that it is very possible that the largest was one of three which we are told was erected by Asoka himself.

    191

    It is not to be expected that an art-revival following on, and in possession of, all the results of a period of unprecedented activity in scientific research should proceed with the same restraint as heretofore; but the unfettered activity, and the general encouragement to abandon the traditions of art, have no exact parallel in the past, and may yet prove a danger.

    192

    It is probable that the first exact notions of quantity were founded on the consideration of number.

    193

    It is really not extraordinary that Isaac Hollandus was able to indicate the method of the preparation of the " philosopher's stone " from " adamic " or " virgin " earth, and its action when medicinally employed; that in the writings assigned to Roger Bacon, Raimon Lull, Basil Valentine and others are to be found the exact quantities of it to be used in transmutation; and that George Ripley, in the 15th century, had grounds for regarding its action as similar to that of a ferment.

    194

    It is to these two investigators and their pupils that most of our exact thermochemical data are due.

    195

    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.

    196

    It need hardly be said that the exact accuracy of such narratives is not an essential part of the Christian faith; no such doctrine is laid down by the creeds and confessions.

    197

    It probably means "row, line, canon," and is used, in its exact technical sense, of the language of the canon, containing the documents of the Buddhist faith.

    198

    It shortened fitfully by eight seconds between 1790 and 1879; soon afterwards, restoration set in, and its exact length in 1903 was 2 d 20h 48' n 568, being only two seconds short of its original value.

    199

    It simply consisted iri the application, to the elucidation of these complex problems, of the exact methods of chemical and physical research.

    200

    It was a farmers son named OkyO, trained in his youth to paint in the Chinese manner, who was first bold enough to adopt as a canon what his predecessors had only admitted under rare exceptions, the principle of an exact imitation of nature.

    201

    It was also a warning to Antiochus, who returned to exact a bloody vengeance and to loot the Temple (169 or 168 B.C.).

    202

    It was not the good fortune of Johnston to acquire the prestige which so much assisted Lee and Jackson, nor indeed did he possess the power of enforcing his will on others in the same degree, but his methods were exact, his strategy calm and balanced, and, if he showed himself less daring than his comrades, he was unsurpassed in steadiness.

    203

    It was only after the publication of Kepler's Rudolphine Table (1626) that more exact results could be obtained.

    204

    It Was Proposed By A Committee Of The British Association To Select The Temperature At Which The Specific Heat Was 4.20O Joules, Leaving The Exact Temperature To Be Subsequently Determined.

    205

    It was regarded as a universal duty to afford protection to one's kinsmen, to assist them in the redress of wrongs and to exact vengeance or compensation in case of death.

    206

    It would seem that "the general theory of discrete and continuous quantity" is the exact description of the topics of these sciences.

    207

    Its exact dimensions are unknown; they probably coincided with those of the old diocese of Worcester, the early bishops of which bore the title "Episcopus Hwicciorum."

    208

    Its exact function is not fully understood.

    209

    Its exact site has been determined by excavations conducted at Kaleh Sherghat since 1903 by the German Oriental Society.

    210

    Jefferson seems to have been the first discoverer of an exact formula for the construction of mould-boards of least resistance for ploughs.

    211

    Johann Heinrich Scheibler (1777-1838) tuned two forks to an exact octave, and then prepared a number of others dividing the octave into such small steps that the beats between each and the next could be counted easily.

    212

    Jonah is the Kitab al Tank (" Book of Exact Investigation"), which consists of two parts, regarded as two distinct books - the Kitab alLuma ("Book of Many-coloured Flower-beds") and the Kitab alusul ("Book of Roots").

    213

    Kieft promised the concessions to gain the board's consent to waging war, but later denied its authority to exact promises from him and dissolved it.

    214

    Language has crystallized them into certain definite notions and expressions, without which we cannot proceed a single step, but which we have accepted without knowing their exact meaning, much less their origin.

    215

    Leibnitz, and the exact dates of discovery are a little uncertain.

    216

    Leidy adhered strictly to Cuvier's exact descriptive methods, and while an evolutionist and recognizing clearly the genetic relationships of the horses and other groups, he never indulged in speculation.

    217

    Like the college buildings, they are almost an exact copy of those of New College, mutatis mutandis.

    218

    Long before the exact length of the year was determined, it must have been perceived that the synodic revolution.

    219

    Lord Kelvin's contributions to the science of exact electric measurement 2 were enormous.

    220

    Mahommedanism indeed is active, and is the chief opponent of Christianity to-day, but the character of its teaching is too exact a reflection of the race, time, place and climate in which it arose to admit of its becoming universal.

    221

    Many observers have given attention to the exact determination of Verdet's constant of rotation for standard substances, e.g.

    222

    Marignac's name is well known for the careful and exact determinations of atomic weights which he carried out for twenty-eight of the elements.

    223

    Medicine isn't an exact science.

    224

    Michaelis says, it renders the race type with astounding keenness, and shows an excellent power of observation in the exact representation of the eyes.

    225

    Middleton, with Archbishop Sharp, misgoverned the country, established a high court of commission, exiled the fiercest preachers to Holland, whence they worked endless mischief by agitation and a war of pamphlets; irritated the Covenanting shires, Fife and the south-west, by quartering troops on them to exact fines for Nonconformity, and so caused, during a war with Holland, the Pentland Rising (November 1666).

    226

    Moawiya, disregarding his son Yazid's advice that he should exact condign punishment for Zobair's disrespect, replied in flattering terms, regretting the trespass and resigning both slaves and estate to Zobair.

    227

    Molesworth reprints the Latin, not from the first edition of 1655, but from the modified edition of 1668 - modified, in the mathematical chapters, in general (not exact) keeping with the English edition of 1656.

    228

    Moore was ignorant of their exact position and strength, but he knew that Valladolid had been occupied, and so his first orders were that Baird should fall back to Galicia and Hope to Portugal.

    229

    More recent monographs have been more exact, and some of them equally sumptuous.

    230

    Moreover, every Norman to whom he granted lands and offices held them by English law in a much truer sense than the king held his; he was deemed to step into the exact position of his English predecessor, whatever that might be.

    231

    Much discussion has taken place with regard to the exact spot in the Teutoburger Wald where the great battle between Arminius and Varus was fought.

    232

    Napoleon, on the other hand, with the exact knowledge of the powers of his men, which was the secret of his generalship, entrusted nearly half of his line of battle to a division (Legrand's) of Soult's corps, which was to be supported by Davout, some of whose brigades had marched, from Vienna, 90 m.

    233

    Nature of the Food of Planls.The recognition of the fundamental identity of the living substance in animals and plants has directed attention to the manner in which plants are nourished, and especially to the exact nature of their food.

    234

    Neither this instrument nor the next to be described is now used for exact work; they merely serve as illustrations of the law of pitch.

    235

    Nevertheless the exact nature of his projects remains obscure.

    236

    No exact statistics of Siberian exile were kept before 1823.

    237

    No one was able to guess, even in the vaguest way, the exact interpretation of these odd characters; but, on the other hand, no one could doubt that they constituted a system of writing, and that the piles of inscribed tablets were veritable books.

    238

    No such theories can be counted as more than coincidences which have been adopted, unless we find a very exact connexion, or some positive statement of origination.

    239

    None of the other speeches are in the exact form in which they were delivered.

    240

    None of these has been critically edited or translated; and there is much uncertainty as to the exact date of his career, and as to his opinions.

    241

    Notwithstanding the rude character of the apparatus at his disposal, Horrocks was enabled by his observation of it to introduce some important corrections into the elements of the planet's, orbit, and to reduce to its exact value the received estimate of its apparent diameter.

    242

    Now a copy made thus can in no circumstances be a quite exact rendering of that from which it is copied or its exemplar.

    243

    Now it is understood that care must be taken in specifying the exact quality and in testing the material supplied.

    244

    Of his other writings on marine zoology, most are contained in the bulletins and memoirs of the museum of comparative zoology; but he published in 1865 (with Elizabeth Cary Agassiz, his stepmother) Seaside Studies in Natural History, a work at once exact and stimulating, and in 1871 Marine Animals of Massachusetts Bay.

    245

    Of late years there has been a controversy among Anglican theologians as to the exact nature of the gif t conveyed through confirmation, or, in other words, whether the Holy Spirit can be said to have come to dwell in those who have been baptized but not confirmed.

    246

    Of the circumstances of his life very little is recorded; the exact day of his birth and the day and place of his death are alike uncertain.

    247

    Oldhams coupling may be used with advantage where the axes of the shafts are intended to be as nearly in the same straight line as is possible, but where there is some doubt as to the practibility I or nermanency of their exact continuity.

    248

    On the 21st of August, while the Indians were demoralized by a sortie from the garrison, the town was evacuated, and the inhabitants made a 1 The exact date of the founding of Santa Fe is not known, but the best opinion has fixed the date between 1604 and 1608, and favours the year 1605.

    249

    On The Other Hand, The Exact Time Of A Synodic Revolution Of The Moon Is 29'530588 Days; 235 Lunations, Therefore, Contain 2 35 X 29 530588 = 6 939'6 8818 Days, Or 6 939 Days 16 Hours 31 Minutes, So That The Period Exceeds 235 Lunations By Only Seven And A Half Hours.

    250

    On the other hand, the work of modern systematists shows an extraordinarily exact relation between their species and geographical locality, and the fact of divergent evolution can be almost demonstrated in museum collections when localities have been recorded exactly.

    251

    On this footing the British foreign office, while it grants passports for travel to naturalized persons, will extend no protection to them against a claim of their former country, if they return to it, to exact military service due to it.

    252

    One end of each pipe is plain, so that it may be cut to any desired length; pipes with shaped ends obviously must be obtained in the exact lengths required.

    253

    One of last year's wethers, to be exact.

    254

    One week new, to be exact.

    255

    Opinions differ as to the true import of these glosses; some scholars hold that the Salic Law was originally written in the Frankish vernacular, and that these words are remnants of the ancient text, while others regard them as legal formulae such as would be used either by a plaintiff in introducing a suit, or by the judge to denote the exact composition to be pronounced.

    256

    Peaucellier, a French engineer officer, was the first, in 1864, to invent a linkwoik with which an exact straight line could be drawn.

    257

    Planters appreciate generally the value of broad-leaved and narrow-leaved plants and root crops, but there is an absence of exact knowledge, with the result that their practices are very varied.

    258

    Polyclitus seems to have fixed the type of Hera as a youthful matron, but unfortunately the exact character of her head cannot be determined.

    259

    Practically the difficulty of making these diaphragms for the different powers of the exact required equality is insuperable; but, if the observer is content to lose a certain amount of light, we see no reason why they may not readily be made slightly less.

    260

    Prior to the establishment of the monarchy the conditions for securing an exact and consecutive chronology did not exist; the dates in the earlier period of the history, though apparently in many cases precise, being in fact added long after the events described, and often (as will appear below) resting upon an artificial basis, so that the precision is in reality illusory.

    261

    Proper Motions of Stars.-The work of cataloguing the stars and determining their exact positions, which is being pursued on so large a scale, naturally leads to the determination of their proper motions.

    262

    Purgatory, for example, is usually thought of as having some position in space, and as being distinct from heaven and hell; but any theory as to its exact latitude and longitude, such as underlies Dante's description, must be regarded as imaginative.

    263

    Ramsay (Was Christ Born at Bethlehem?, 1898, pp. 1 49 ff.) defends the exact accuracy of St Luke's " first census " as witnessing to the (otherwise of course unknown) introduction into Syria of the periodic fourteen years' census which the evidence of papyri has lately established for Egypt, at least from A.D.

    264

    Recent exact surveys have shown these originating marshes to be no more than 665 ft.

    265

    Recent levellings along the Swedish and Danish coasts have confirmed the higher level of the Baltic; and the level of the Mediterranean has also been determined by exact measurements to be from 15 to 24 in.

    266

    Recent researches have shown that the law originally proposed by Kopp - " That the specific volume of a liquid compound (molecular volume) at its boiling-point is equal to the sum of the specific volumes of its constituents (atomic volumes), and that every element has a definite atomic value in its compounds " - is by no means exact, for isomers have different specific volumes, and the volume for an increment of CH 2 in different homologous series is by no means constant; for example, the difference among the esters of the fatty acids is about 57, whereas for the aliphatic aldehydes it is 49.

    267

    Remedies are intended to cover accidental variations from the exact standard and are now generally used only in this way.

    268

    Sensations, he argued, thus being representable by numbers, psychology may become an "exact" science, susceptible of mathematical treatment.

    269

    She would accept willingly, however, another nest placed in the exact spot where her own had been.

    270

    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.

    271

    Since Mahomet's strength lay in his enthusiastic and fiery imagination rather than in the wealth of ideas and clearness of abstract thought on which exact reasoning depends, it follows that the older suras, in which the former qualities have free scope, must be more attractive to us than the later.

    272

    Sir Guilford Molesworth puts this in a convenient but less exact form.

    273

    So close indeed is the similarity that many monkeys, apes and human beings have an apparently instinctive fear of all snakes and do not discriminate between poisonous and non-poisonous forms. Hence it may be that innocuous snakes are in many instances sufficiently protected by their likeness in shape to poisonous species that close and exact resemblance in colour to particular species is superfluous.

    274

    So exact is the latter determination that, were there no weak point in the subsequent parts of the process, this method would give far the most certain result for the solar parallax.

    275

    So far the chemical nature of the liquid globules of the latex is unknown, and the exact character of the change into solid caoutchouc remains to be determined.

    276

    So far, our knowledge of correlation is almost entirely empirical, and the arrangement of the observed facts cannot be brought into exact harmony with our guesses at their causation.

    277

    So persistently does the human ear rebel against the division of the tetrachord into two greater tones and a leimma or hemitone, as represented by the fractions 9, 9, 26, that, centuries before the possibility of reconciling the demands of the ear with those of exact science was satisfactorily demonstrated, the Aristoxenian school advocated the use of an empirical scale, sounding pleasant to the sense, in preference to an unpleasing tonality founded upon immutable proportions.

    278

    Some empiricists, on the other hand, suppose that induction only infers probable conclusions which are premises of probable deductions; but they give up all exact science.

    279

    Soon after their return Anne was found to be pregnant, and in consequence Henry married her about the 25th of January 15333 (the exact date is unknown), their union not being made public till the following Easter.

    280

    Standard solutions are prepared by weighing out the exact amount of the pure substance and dissolving it in water, or by forming a solution of approximate normality, determining its exact strength by gravimetric or other means, and then correcting it for any divergence.

    281

    Still, the idea of the exact measurement of sensation has been a fruitful one, and mainly through his influence on Wundt, Fechner was the father of that "new" psychology of laboratories which investigates human faculties with the aid of exact scientific apparatus.

    282

    Stinnes managed to maintain an extensive and even a detailed knowledge of the working of all the concerns in which he was engaged, and in all of them to exact zealous and conscientious work from his business subordinates.

    283

    Succeeding Maxwell as Cavendish professor of physics at Cambridge in 1880, he soon devoted himself especially to the exact redetermination of the practical electrical units in absolute measure.

    284

    Such seems the most likely history of it, and this is in exact accord with the full original weight of each system.

    285

    Such series ought all to be capable of being represented by a formula resembling that of Balmer, but so far the exact form of the series has not been established with certainty.

    286

    That for the thin-walled water mains must combine strength with the fluidity needed to enable it to run freely into its narrow moulds; that for most machinery must be soft enough to be cut easily to an exact shape; that for hydraulic cylinders must combine strength with density lest the water leak through; and that for car-wheels must be intensely hard in its wearing parts, but in its other parts it must have that shock-resisting power which can be had only along with great softness.

    287

    The "class of usefulness" was divided into three groups, agricultural, mechanical and educational, with such subdivisions as necessity dictated, and an exact account of labour was kept.

    288

    The Agora was commonly described as the " Ceramicus," and Pausanias gives it this name; of the numerous buildings which he saw here scarcely a trace remains; their position, for the most part, is largely conjectural, and the exact boundaries of the Agora itself are uncertain.

    289

    The antithesis is not exact; we expect either "boy and mature man" or "low-born and high-born."

    290

    The average duration of fatal cases is five or six days; in the House of Correction at Byculla, where the exact period could be well observed, it was five and a half days.

    291

    The barons were consequently able to exact, in Magna Carta (June 1215), much more than the redress of legitimate grievances; and the people allowed the crown to be placed under the control of an oligarchical committee.

    292

    The begs and agas continued to exact their forced labour and one-third of their produce; the central government imposed a tithe which had become an eighth by 1875.

    293

    The boundary line corresponded to the both degree of longitude west of Greenwich, which strikes the main ' The exact position has been disputed.

    294

    The break-in was only hours old and we knew the exact location from Howie's first visit.

    295

    The composite nature of the story makes an identification of the exact site difficult, but one of the narrators (E) seems to have in.

    296

    The country was then ruled by the judges of the Audiencia, and a formidable insurrection broke out, headed by Francisco Hernandez Giron, with the object of maintaining the right of the conquerors to exact forced service from the Indians.

    297

    The death of Heinrich Brugsch in 1895 was a very severe blow to demotie studies; but it must be admitted that his brilliant gifts lay in other directions than exact grammatical analysis.

    298

    The death-rate of the United States, though incapable of exact determination, was probably between 16 and 17 per 1000 in 1900; and therefore less than in most foreign countries.

    299

    The degree of accuracy in such anatomical and physiographic restorations from relatively imperfect evidence will always represent the state of the science and the degree of its approach toward being exact or complete.

    300

    The determination of the exact relationship of cause and effect in the origin of ocean currents is a matter of great practical importance.

    301

    The development of the rubber industry has now reached a stage at which more exact methods of determining the chemical composition and physical properties (strength and elasticity) of rubber are required.

    302

    The difficulties attending the experimental investigation of the forces acting between magnetic poles have already been referred to, and indeed a rigorously exact determination of the mutual action could only be made under conditions which are in practice unattainable.

    303

    The difficulty of determining in any case the exact significance of the title of a German count, illustrated by the above, is increased by the fact that the title is generally heritable by all male descendants, the only exception being in Prussia, where, since 1840, the rule of primogeniture has prevailed and the bestowal of the title is dependent on a rent-roll of £3000 a year.

    304

    The eminent critic, Dr Georg Brandes, had long foreseen the decline of pure romanticism, and had advocated a more objective and more exact treatment of literary phenomena.

    305

    The exact chemical nature of caoutchouc is, however, not determined, and recent researches point to the view that its molecular structure may even be somewhat different from that of the terpenes.

    306

    The exact chronology and relationship of these kings it is impossible to determine, but we know that Healfdene died in Scotland in 877, while Godefridus was treacherously slain by Henry of Saxony in 885.

    307

    The exact date of her birth is apparently unknown.

    308

    The exact date of his death is unknown.

    309

    The exact date of the abandonment of the town itself and the incorporation of its territory with that of Lavinium is uncertain, but it may be placed in the latter part of the republic. Under the empire a portion of it must have been imperial domain and forest.

    310

    The exact date of the beginning of what Mme de Stael's admirers call her duel with Napoleon is not easy to determine.

    311

    The exact date of the giving of the royal assent, and the question whether this Book received the assent of Convocation, are historical points of difficulty and uncertainty which cannot be treated at length here.

    312

    The exact dates of events in Hebrew history can be determined only when the figures given in the Old Testament can be checked and, if necessary, corrected by the contemporary monuments of Assyria and Babylonia, or (as in the post-exilic period) by the knowledge which we independently possess of the chronology of the Persian kings.

    313

    The exact dates of his birth and death are unknown.

    314

    The exact dates of the stages in this development cannot be fixed, for strangely enough few inscriptions of any length have been found at Petra, 4 perhaps because they have perished with the stucco or cement which was used upon many of the buildings.

    315

    The exact delimitation of inorganic and organic chemistry engrossed many minds for many years; and on this point there existed considerable divergence of opinion for several decades.

    316

    The exact derivation and meaning of the name is somewhat uncertain.

    317

    The exact determination of the appearances in any given case is a mere problem of convergents to a continued fraction.

    318

    The exact extent of the reconquest is uncertain; Byzantine writers claim the deliverance of the whole island; but it is certain that the Saracens never lost Panormus.

    319

    The exact extent, however, to which each particular class of enemy has affected the protective habits and attributes of spiders is by no means always evident; and it is impossible to discuss the question in detail within the limits of a short article.

    320

    The exact form of the sanctuary at that period cannot be determined, but it seems to have been in some way connected with the burning of the dead, and extensive remains of such cremation are found in all the earlier, pre-Sargonic strata.

    321

    The exact imitation of the style of the genuine classics was the highest perfection at which he aimed.

    322

    The Exact Length Of Nineteen Solar Years Is 19X365'2422=6939'6018 Days, Or 6 939 Days 14 Hours 26.592 Minutes; Hence The Period, Which Is Exactly 6940 Days, Exceeds Nineteen Revolutions Of The Sun By Nine And A Half Hours Nearly.

    323

    The exact length of the Stadium itself - which was primarily the course for the foot-race - was about 210 yds.

    324

    The exact life-history of the truffle is not known.

    325

    The exact limits of Rabbula's work are difficult to define.

    326

    The exact limits of the ancient Aralo-Caspian sea are not yet settled, except in the north-west, where the Ergeni Hills of Astrakhan constitute an unmistakable barrier.

    327

    The exact manner in which isoprene passes into caoutchouc is also not understood.

    328

    The exact meaning of these features is not clear, but if it be remembered (a) that the Levites of post-exilic literature represent only the result of a long and intricate development, (b) that the name "Levite," in the later stages at least, was extended to include all priestly servants, and (c) that the priesthoods, in tending to become hereditary, included priests who were Levites by adoption and not by descent, it will be recognized that the examination of the evidence for the earlier stages cannot confine itself to those narratives where the specific term alone occurs.

    329

    The exact mode has not yet been noticed.

    330

    The exact mode in which the in-sinking of superficial outstanding limbs, carrying gill-lamellae, has historically taken place has been a matter of much speculation.

    331

    The exact nature and degree of its self-government is not clear.

    332

    The exact nature of the airs concerned in the processes he did not explain until after the preparation of "dephlogisticated air" (oxygen) by Priestley in 1774.

    333

    The exact nature of the connexion between the head of the Tochi and the Ghazni plain is still unknown to us.

    334

    The exact number of persons arrested or interned will probably never be known, but that the Yugoslays were regarded, and treated, as a hostile population, is abundantly proved by the three following facts, which could be mul tiplied indefinitely.

    335

    The exact number of the Ostiak Samoyedes is not known; the Tavghi Samoyedes may number about woo, and the Yuraks, mixed with the former, are estimated at 6000 in Obdorsk (about 150 settled), 5000 in European Russia in the tundras of the Mezen, and about 350 in Yeniseisk.

    336

    The exact period of the beginning of Anne's relations with Henry is not known.

    337

    The exact plan of the whole is obscure, but the apartments evidently varied in size from mere closets to extensive courts.

    338

    The exact political status of the country was not, however, definitely assured until 1848, when an independent republic was again proclaimed.

    339

    The exact position of Anzan is still disputed, but it probably included originally the site of Susa and was distinguished from it only when Susa became the seat of a Semitic government.

    340

    The exact position of the core, and, therefore, of an index needle connected with it, is dependent on the ratio of the voltage applied to the terminals of the high resistance or insulator and the current passing through it, This, however, is a measure of the insulation-resistance.

    341

    The exact position of the Jebusite city is unknown; some authorities locate it on the western hill, now known as Zion; some on the eastern hill, afterwards occupied by the Temple and the city of David; while others consider it was a double settlement, one part being on the western, and the, other on the eastern hill, separated from one another by the Tyropoeon valley.

    342

    The exact position of the native states of Bukhara and Khiva, which were later occupied by the Soviet Government, remained obscure.

    343

    The exact position of the selected ray does not matter much, but the yellow D line of sodium Air FIG.

    344

    The exact position taken up by the needle is therefore determined by the potential difference (P.D.) of the quadrants and the P.D.

    345

    The exact process of the evolution of the two deities and their advance in popular favour are still somewhat obscure.

    346

    The exact provenance of these cylinders is not known, but there is every reason to believe that they were found in Cyprus.

    347

    The exact relation of gonidia and hyphae has been investigated e specially by Bornet and also by Hedlund, and very considerable differences have been shown to exist in different genera.

    348

    The exact relation of the Eupatridae to the other two classes has been a matter of dispute.

    349

    The exact scenes of these conflicts are not known, although the date of the second encounter was the ISth of March 933; but few more important battles have ever been fought.

    350

    The exact share of Gramont in this responsibility has been the subject of much controversy.

    351

    The exact significance of these roots is a matter for speculation, but it seems possible that they are epiphysial structures remotely comparable with the epiphysial (pineal) complex of the craniate vertebrates.

    352

    The exact signification of this purely territorial name varied greatly at different times.

    353

    The exact site appears to have been Staklen, to the west of the present town, which has gradually moved eastward since the 16th century, when it was almost destroyed in the Turkish wars.

    354

    The exact size of the city is not known, but it probably extended as far as the present north wall of Jerusalem and included the northern part of the western hill.

    355

    The exact time of his death cannot be determined; 1294 is probably as accurate a date as can be fixed upon.

    356

    The exact time, however, depends upon the weather and upon the particular kind of water in which the flax is immersed.

    357

    The exact way in which the utilization or fixation of the nitrogen is effected remains undecided.

    358

    The exchequer being drained by the payment of 10,000 pieces of gold to buy off the Gauls who had invaded their territories about 279 B.C., and by the imposition of an annual tribute which was ultimately raised to 80 talents, they were compelled to exact a toll on all the ships which passed the Bosporus - a measure which the Rhodians resented and avenged by a war, wherein the Byzantines were defeated.

    359

    The explanation could always be exact, for it was scarcely more than a repetition of the point to be explained.

    360

    The fact remains that when accepted tradition conflicts with more reliable evidence it stands upon a level by itself; 8 and it is certain that a compilation based upon the knowledge which modern research - whether in the exact sciences or in history - has gained would have neither meaning for nor influence upon the people whom it was desired to instruct.

    361

    The fact that Nestorius was trained at Antioch and inherited the Antiochene zeal for exact biblical exegesis and insistence upon the recognition of the full manhood of Christ, is of the first importance in understanding his position.

    362

    The facts, however, are in exact contradiction to this; and accordingly the theory now most generally held by those who have studied the question is that the Malays form a distinct race, and had their original home in the south.

    363

    The first exact experiments demonstrating the changes which occur in the permeability of iron,, 3 Phil.

    364

    The first exact knowledge as to the origin of the ascocarp was the work of Stahl on Collema in 1877.

    365

    The first exact quantitative study of electrolytic phenomena was made about 1830 by Michael Faraday (Experimental Researches, 1833).

    366

    The first post-Darwinian systematists naturally and without reflexion accepted of' the idea that existing simpler forms represent stages i n the gradual progress of development - are in fact survivors from past ages which have retained the exact grade of development which their ancestors had reached in past ages.

    367

    The first published research (1816) dealt with the dilatation of solids, liquids and gases and with the exact measurement of temperature, and it was followed by another in 1818 on the measurement of temperature and the communication of heat, which was crowned by the French Academy.

    368

    The first sign of revival from the catastrophe of the invasions is the reorganization of the Imperial household under Charlemagne with the intention of establishing a more exact collection of revenue.

    369

    The first step is the establishment of the exact equality of congruence of two geometrical figures.

    370

    The following table gives the exact composition of some alloys which were found to be non-magnetizable, or nearly so, in a field of 320.

    371

    The forests have been sold, and only those landlords are prospering who exact rack-rents for the land without which the peasants could not live upon their allotments.

    372

    The former would be an exact submultiple of the 30-day month, but the exact relation of seven days to the month is not very clear.

    373

    The full text secret has never been published, and the exact date is un- treaty certain.

    374

    The fur was the exact color of Elisabeth's hair in his dream.

    375

    The general principle is that the numerical data from which a particular result is to be deduced are in general not exact, but are given only to a certain degree of accuracy.

    376

    The Greek and Roman forms are doubtless attempts to reproduce a Celtic original, the exact form of which is still matter of dispute.

    377

    The group has attained an importance of late even beyond that to which it was brought by Pasteur's researches on alcoholic fermentation, chiefly owing to the exact results of the investigations of Hansen, who first applied the methods of pure cultures to the study of these organisms, and showed that many of the inconsistencies hitherto existing in the literature were due to the coexistence in the cultures of several species or races of yeasts morphologically almost indistinguishable, but physiologically very different.

    378

    The hillsides have gradually to be terraced with the plough, upon almost an exact level.

    379

    The History of Armenia, 3 or, as the more exact title runs, the _ ' Collected by Langlois, Collection des historiens de l'armenie, ii.

    380

    The ideas of the quantitative aspects of phenomena are exact representations of these aspects or quantitative impressions; consequently, whatever is found true by consideration of the ideas may be asserted regarding the real impressions.

    381

    The increasing number of measurements of the height of land in all continents and islands, and the very detailed levellings in those countries which have been thoroughly surveyed, enable the average elevation of the land above sea-level to be fairly estimated, although many vast gaps in accurate knowledge remain, and the estimate is not an exact one.

    382

    The instances in which he has departed from the Marcan order, and the manner in which he has introduced his additional matter into the Marcan outline, do not suggest the idea that he had any independent knowledge of an exact kind of the chronological sequence of events.

    383

    The invention of logarithms and the calculation of the earlier tables form a very striking episode in the history of exact science, and, with the exception of the Principia of Newton, there is no mathematical work published in the country which has produced such important consequences, or to which so much interest attaches as to Napier's Descriptio.

    384

    The ions are associated with very large electric charges, and, whatever their exact relations with those charges may be, it is certain that the energy of a system in such a state must be different from its energy when unelectrified.

    385

    The king knew that Matthew was writing a history, and showed some anxiety that it should be as exact as possible.

    386

    The Landseer Newfoundland is a black and white variety brought into notice by Sir Edwin Landseer, but the exact ancestry of which is unknown.

    387

    The latter is said to have appealed to augury to determine the exact site of his projected foundation; but less fantastic considerations went far to settle it.

    388

    The legitimacy of this assumption, and of the further assumption which enables the area of the new figure to be expressed by an approximate formula instead of by an exact formula, must be verified in every case by reference to the actual differences.

    389

    The Lunar Cycle Contained 6 939 Days 18 Hours, Whereas The Exact Time Of 235 Lunations, As We Have Already Seen, Is 235X29.530588= 6939 Days 16 Hours 31 Minutes.

    390

    The Lunar Year, Therefore, Contained 354 Days, Falling Short Of The Exact Time Of Twelve Lunations By About 8.8 Hours.

    391

    The magnitude of these items is so great as to defy exact determination; data for the formation of some idea of them can be found in the account of the mineral, forest and agricultural resources of the country.

    392

    The mean values at the foot of the table-they are not, strictly speaking, exact averages-indicate the average yields per acre in the United Kingdom to be about 31 bushels of wheat, 33 bushels of barley, 40 bushels of oats, 28 bushels of beans, 26 bushels of peas, 44 tons of potatoes, 134 tons of turnips and swedes, 184 tons of mangels, 32 cwt.

    393

    The mere act of coiling an exact weight of molten glass round the end of a rod 4 ft.

    394

    The Moderate party, which maintained its ascendancy till the beginning of the 19th century, sought to make the working of the church in its different parts as systematic and regular as possible, to make the assembly supreme, to enforce on presbyteries respect for its decisions, and to render the judicial procedure of the church as exact and formal as that of the civil courts.

    395

    The most famous if not the first 1 is Phalaris of Acragas (Agrigentum), whose exact date is uncertain, whose letters are now cast aside, arid whose brazen bull has been called in question, but who clearly rose to power very soon after the foundation of Acragas.

    396

    The multitude of species and the many intermediate forms render their exact limitation difficult, but those presenting sufficiently marked characters to justify specific rank probably approach 300 in number.

    397

    The new compact was indicated in Mr Balfour's letter, in which he declared that "fiscal reform is, and must remain, the first constructive work of the Unionist party; its objects are to secure more equal terms of competition for British trade and closer commercial union with the colonies; and while it is at present unnecessary to prescribe the exact methods by which these objects are to be attained, and inexpedient to permit differences of opinion as to these methods to divide the party, though other means are possible, the establishment of a moderate general tariff on manufactured goods, not imposed for the purpose of raising prices, or giving artificial protection against legitimate competition, and the imposition of a small duty on foreign corn, are not in principle objectionable, and should be adopted if shown to be necessary for the attainment of the ends in view or for purposes of revenue."

    398

    The now naturalized word "sheikhs" would be the exact rendering.

    399

    The number of these select members is small in comparison with the whole Society; the exact proportion varies from time to time, the present tendency being to increase the number.

    400

    The number of thunderstorm days is probably a less exact measure of the relative intensity of thunderstorms than statistics as to the number of persons killed annually by lightning per million of the population.

    401

    The numerical result obtained by applying a formula to particular data will generally not be exact.

    402

    The older history of the surplice is obscured by lack of exact information.

    403

    The operations of describing the exact figures of the teeth of bevelwheels, whether by involutes or by rolling curves, are in every respect analogous to those for describing the figures of the teeth of spur-wheels, except that in the case of bevel-wheels all those operations are to be performed on the surface of a sphere described about the apex instead of on a plane, substituting poles for centres, and o B2

    404

    The order must therefore be ancient, and as no evidence is forthcoming as to the mode of reduction of the hind-wings, nor as to the stages by which the suctorial mouth-organs became specialized, it is difficult to trace the exact relationship of the group, but the presence of cerci and a degree of correspondence in the nervuration of the forewings suggest the Mecaptera as possible allies.

    405

    The origin and the exact nature of this religious movement are alike uncertain.

    406

    The problem he set himself was the exact converse of that of Archimedes.

    407

    The proportions in which these ingredients are mixed vary according to the exact quality of glass required and with the form and temperature of the melting furnace employed.

    408

    The Remonstrants, that is, the clerical fanatics to whom toleration was more especially abominable, are reckoned (Hume Brown) as the majority of the preachers, but exact statistics cannot be obtained.

    409

    The Romans exerted themselves to improve the lower navigation of the river, and appointed prefects of the Rhine to superintend the shipping and to exact the moderate dues imposed to keep the channel in repair.

    410

    The second methodology error that futurists often commit is the exact opposite of the first.

    411

    The Sierra Leone-Liberia frontier was demarcated in 1903; then followed the negotiations with France for the exact delimitation of the Ivory Coast-Liberia frontier, with the result that Liberia lost part of the hinterland she had claimed.

    412

    The struggle between the Pharisees and Sadducees, between the party of the scribes and the aristocracy, was a struggle for mastery between a secularized hierarchy whose whole interests were those of their own selfish politics, and a party to which God and the exact fulfilment of the law according to the scribes were all in all.

    413

    The style of the language, and also the position of the book in the Jewish Canon, stamp the book as one of the latest in the Old Testament, but lead to no exact determination of the date.'

    414

    The succession of archaeological types revealed in them has been tabulated by Petrie in his Diospolis Parva; and the detailed publication of Reisners unusually careful researches is bringing much new light on the questions involved, amongst other things showing the exact point at which the prehistoric series merges into the 1st Dynasty, for, as might be surmised, in many cases the prehistoric cemeteries continued in use under the earliest dynasties.

    415

    The Tables, Page 571, Show That 8Th January 1943 Is A Friday, Therefore The Date Is Exact.

    416

    The theosophical conception of brotherhood is thus rather transcendental than materialistic, and is not therefore to be regarded as the exact equivalent of the socialistic doctrine of the solidarity of the human race.

    417

    The tracing of the exact mode of development, cell by cell, of the diblastula, the coelom, and the various tissues of examples of all classes of animals was in later years pursued with immense activity and increasing instrumental facilities.

    418

    The true method of science which he possessed forced him to condemn as useless the entire form which Schelling's and Hegel's expositions had adopted, especially the dialectic method of the latter, whilst his love of art and beauty, and his appreciation of moral purposes, revealed to him the existence of a transphenomenal world of values into which no exact science could penetrate.

    419

    The varieties of coast-lines were reduced to an exact classification by Richthofen, who grouped them according to the height and slope of the land into cliff-coasts (Steilkiisten)- narrow beach coasts with cliffs, wide beach coasts with cliffs, and 1 Rumpf, in German, the language in which this distinction was first made.

    420

    The verification is sufficiently exact to establish the law of gravitation, as providing a statement of the motions of the bodies composing the solar system which is correct to a high degree of accuracy.

    421

    The volume of a frustum of a cone, for instance, can be expressed in terms of certain magnitudes by a certain formula; but not only will there be some error in the measurement of these magnitudes, but there is not any material figure which is an exact cone.

    422

    The World's Commercial Cotton Crop. It is impossible to give an exact return of the total amount of cotton produced in the world, owing to the fact that in China, India and other eastern countries, in Mexico, Brazil, parts of the Russian empire, tropical Africa, &c., considerable - in some cases very large - quantities of cotton are made up locally into wearing apparel, &c., and escape all statistical record.

    423

    Their exact method is not certainly known, but it appears probable that they were acquainted with the process now called a cire perdue - the same as that employed by the great Italian artists in bronze.

    424

    There are many genera and species of leeches, the exact definitions of which are still in need of a more complete survey.

    425

    There are six hundred plates, but the exact number of species figured (which has been computed at six hundred and sixty-one) is not so easily ascertained.

    426

    There are, and probably always will be, differences of opinion as to the exact way in which the various kinds of animals may be divided into groups and those groups arranged - in such an order as will best exhibit their probable genetic relationships.

    427

    There can be no exact computation of time or placing of events without a fixed point or epoch from which the reckoning takes its start.

    428

    There has been considerable discussion as to the exact figures, the evidence in Thucydides being highly confusing, but it is most probable that the available fighting force was not more than half that of the Peloponnesian confederacy.

    429

    There is a good deal of uncertainty in regard to both the exact position and the numbers of the nobles and freedmen of Tacitus's age.

    430

    There is a lack of explicit references to the Gospels; 1, and many of the quotations which may be taken from them are not exact.

    431

    There is great uncertainty as to the exact values of all ancient standards of volume -- the only precise data being those resulting from the theories of volumes derived from the cubes of feet and cubits.

    432

    There is no exact parallel in England to the conflict between these two classes in Scotland in the 16th century, or to the great continental revolution of the 13th and 14th centuries, by which the crafts threw off the yoke of patrician government and secured more independence in the management of their own affairs and more participation in the civic administration.

    433

    There is some confusion in administration and accounts, however, and it is sometimes difficult to determine the exact situation.

    434

    There is something arbitrary in this definition, but as the practical importance of the question lies in the comparison between instruments of different types, the exact standard adopted is of minor importance, the chief consideration being simplicity of application.

    435

    There were soldiers more accomplished, as was McClellan, more brilliant, as was Rosecrans, and more exact, as was Buell,.

    436

    Thereafter, by exact observation of stratification, eight more periods have been distinguished by the explorer of Cnossus, each marked by some important development in the universal and necessary products of the potter's art, the least destructible and therefore most generally used archaeological criterion.

    437

    These considerations also indicate what a difficult matter it is to find the exact rate of working against the resistances, because of the difficulty of securing conditions which eliminate the effect both of the gradient and of acceleration.

    438

    These discrepancies render it extremely difficult to determine the exact correspondence of Macedonian dates with those of other eras; and the difficulty is rendered still greater by the want of uniformity in respect of the length of the year.

    439

    These ducts therefore have not their exact counterparts in the Oligochaeta, unless we are to assume that they collectively are represented by the seminal vesicles of earthworms and the vasa deferentia.

    440

    These may exact fees or give free education at the ' A high school is raised to the rank of collegiate institute on complying with certain provisions, chief among which are the employment of at least four teachers with Degrees in Honours from a recognized Canadian university.

    441

    These officials, at the command of the senate, consulted the Sibylline books in order to discover, not exact predictions of definite future events, but the religious observances necessary to avert extraordinary calamities (pestilence, earthquake) and to expiate prodigies in cases where the national deities were unable, or unwilling, to help. Only the interpretation of the oracle which was considered suitable to the emergency was made known to the public, not the oracle itself.

    442

    These two diagrams naturally have much the same general shape, but though the boundaries of the several regions in the iron-cementite diagram are known pretty accurately, and though the relative positions of the boundaries of the two diagrams are probably about as here shown, the exact topography of the iron-graphite diagram is not yet known.

    443

    They are not exact, but may be taken as representing an approximation correct within one per cent.

    444

    They did not dream of verbal fidelity; even when they had more exact reports before them, they preferred to mould a speaker's thoughts to their own methods of presentation.

    445

    They had from early times a very complicated system of superstitious medicine, or religion, related to disease and the cure of disease, borrowed, as is thought, from the Etruscans; and, though the saying of Pliny that the Roman people got on for six hundred years without doctors was doubtless an exaggeration, and not, literally speaking, exact, it must be accepted for the broad truth which it contains.

    446

    They would act equally well if the water grew continually warmer as the depth increases, but they cannot give an exact account of a temperature inversion such as is produced when layers of warmer and colder water alternate.

    447

    Thirdly, there was the inevitable jealousy between the secular and ecclesiastical courts and the serious problem of the exact extent of the original and appellate jurisdiction of the Roman Curia.

    448

    This alliance, though the exact terms were not known to Cromwell - "the attempt to vassalize us to a foreign nation," to use his own words - convinced him of the uselessness of any plan for maintaining Charles on the throne; though he still appears to have clung to monarchy, proposing in January 1648 the transference of the crown to the prince of Wales.

    449

    This coincidence cannot well be due to mere chance; but its exact significance is doubtful.

    450

    This conservative spirit and extreme reverence for authority pervades the whole Roman Catholic Church in exact proportion to the degree of effective control which the see of Rome has succeeded in obtaining over its branches in various countries.

    451

    This great advance, which is the result of the gradual focussing of a century's work in the minute exploration of the exact laws of optical and electric phenomena, clearly carries with it deeper insight into the physical nature of matter itself and its modes of inanimate interaction.

    452

    This has generally been regarded as Plato's own work; but the certainty of this conclusion will be doubted by those who observe (I) the elaborate preparations made in the dialogue for a recital of the EpwrcKOS which shall be verbally exact, and (2) the closeness of the criticism made upon it.

    453

    This insertion of irrational numbers (with corresponding negative numbers) requires for its exact treatment certain special methods, which form part of the algebraic theory of number, and are dealt with under Number.

    454

    This investigation is obviously not exact, for it assumes that the form is unchanged, i.e.

    455

    This is mathematically expressed by the statement that dE is an exact differential of a function of the co-ordinates defining the state of the body, which can be integrated between limits without reference to the relation representing the path along which the variations are taken.

    456

    This ka was supposed to be born together with the person to whom it belonged, and on the very rare occasions when it is depicted, wears his exact semblance.

    457

    This Method Of Forming The Epacts Might Have Been Continued Indefinitely If The Julian Intercalation Had Been Followed Without Correction, And The Cycle Been Perfectly Exact; But As Neither Of These Suppositions Is True, Two Equations Or Corrections Must Be Applied, One Depending On The Error Of The Julian Year, Which Is Called The Solar Equation; The Other On The Error Of The Lunar Cycle, Which Is Called The Lunar Equation.

    458

    This property can often be utilized tc, estimate the frequency of the gravest normal mode of a system by means of an assumed approximate type, when the exact determination would be difficult.

    459

    This ratio, invariably denoted by 7r, is constant for all circles, but it does not admit of exact arithmetical expression, being of the nature of an incommensurable number.

    460

    This result, which is exact for involute teeth, is approximately true for teeth of any figure.

    461

    This short but important and well-informed notice is followed a little later by that of Agatharchides (120 B.C.), who speaks in glowing terms of the wealth and greatness of the Sabaeans, but seems to have less exact information than Eratosthenes.

    462

    This was located in 1820 in almost the exact geographical centre of the state, where a small settlement had recently been made, and the town of Indianapolis was laid out in the following year.

    463

    This would have meant an almost indefinite delay, for how was it possible to decide the exact rights of all the different states to a voice in affairs ?

    464

    This, however, is not immediately connected with the Passover, and is of more significance as determining the exact date of Pentecost.

    465

    Thomas Garway, the first English tea dealer, and founder of the well-known coffee-house, "Garraway's," in a curious broadsheet, An Exact Description of the Growth, Quality and Virtues of the Leaf Tea, issued in 1659 or 1660, writes, "in respect of its scarceness and dearness, it hath been only used as a regalia in high treatments and entertainments, and presents made thereof to princes and grandees."

    466

    Though it has no exact relation to the congius or amphora, yet it is closely = 4977 grains, the 1/80th of the cubic foot of water.

    467

    Though partial Signature revelations have been made, the exact tenor of the of the treaty of triple alliance has never been divulged.

    468

    Though the Alps form throughout the northern boundary of Italy, the exact limits at the extremities of the Alpine chain are not clearly marked.

    469

    Thus foot, digit, palm, cubit, stadium, mile, talent, mina, stater, drachm, obol, pound, ounce, grain, metretes, medimrius, modius, hin and many others mean nothing exact unless qualified by the name of their country or city.

    470

    Thus in the Elohist and in Deuteronomy the date of the festival is only vaguely stated to be in the month of Abib, while in the Holiness Code and in the Priestly History the exact date is given.

    471

    To discuss questions of taste, of learning, of casuistry, in language so exact and so forcible that it might have been printed without the alteration of a word, was to him no exertion, but a pleasure.

    472

    To establish the exact relationship it is necessary not only to breed but to rear the medusa, which cannot always be done in 1 In some cases hydroids have been reared in aquaria from ova of medusae, but these hydroids have not yet been found in the sea (Browne [Io a]).

    473

    To the former he owes his appreciation of exact investigation and a complete knowledge of the aims of science, to the latter an equal admiration for the great circle of ideas which had been diffused by the teaching of Fichte, Schelling and Hegel.

    474

    To these monks the first extant Magyar version of part of the Scriptures (the Vienna or Revai Codex') is directly assigned by Dobrentei, but the exact date either of this copy or of the original translation cannot be ascertained.

    475

    To this piecemeal method of composition, in which narrative alternated with tirades on political and social questions, was added the further disadvantage of the lack of exact information, which, owing to the dearth of documents, could only have been gained by personal investigation.

    476

    True and Exact Relation of both the Battles fought by.

    477

    Two inscriptions of Roman times make the identity of Pirene certain, if there could be any doubt in the face of the exact agreement of Pausanias's description with the structure.

    478

    Unfortunately an exact record of the steps in her education was not kept; but from 1888 onwards, at the Perkins Institution, Boston, and under Miss Sarah Fuller at the Horace Mann school in New York, and at the Wright Humason school, she not only learnt to read, write, and talk, but became proficient, to an exceptional degree, in the ordinary educational curriculum.

    479

    Unfortunately the exact nature of these men's performances is not quite clear, for it is said to have been connected with " harps set to the sheminith," or according to another interpretation, with " harps over the tenors."

    480

    Until, therefore, through parallel passages or through explanatory lists prepared by the Babylonian and Assyrian scribes in large numbers as an aid for the study of the language, 5 the exact phonetic reading of these divine names was determined, scholars remained in doubt or had recourse to conjectural or provisional readings.

    481

    We are thus able to fix its exact position; for a little to the west of Bow church is Bread Street, then came a block of houses, and the next thoroughfare was Friday Street.

    482

    We can still point to much in exact science that is absolutely his; and we can indicate infinitely more which is due to his inspiration.

    483

    We cannot to-day determine the exact homes or provenance of these freebooters, who were a terror alike to the Frankish empire, to England and to Ireland and west Scotland, who only came into view when their ships anchored in some Christian harbour, and who were called now Normanni, now Dacii, now Danes, now Lochlannoch; which last, the Irish name for them, though etymologically " men of the lakes or bays," might as well be translated " Norsemen," seeing that Lochlann was the Irish for Norway.

    484

    We have at Athens the exact parallel to the state of things when Appius Claudius shrank from the thought of the consulship of Gaius Licinius; we have no exact parallel to the state of things when Quintus Metellus shrank from the thought of the consulship of Gaius Marius.

    485

    We may say, however, that they fall into two classes, general and specific. The general included all that might come under the idea of loyalty, seeking the lord's interests, keeping his secrets, betraying the plans of his enemies, protecting his family, &c. The specific services are capable of more definite statement, and they usually received exact definition in custom and sometimes in written documents.

    486

    We need an exact location too, within fifty or a hundred feet.

    487

    We not only lacked an exact time, but the in the turmoil of Martha's delivery, Betsy didn't spot the announcement in her usual timely manner.

    488

    What is most remarkable in it is his concentrated effort to realize the exact political weight of the German nation, and to penetrate the causes of its strength and weakness.

    489

    What the exact contingent was which bannerets were expected to supply to the royal host is doubtful.'

    490

    Whatever may have been the exact view taken by the common law, the offence was made statutory by an act of 1803, making the attempt to cause the miscarriage of a woman, not being, or not being proved, to be quick with child, a felony, punishable with fine, imprisonment, whipping or transportation for any term not exceeding fourteen years.

    491

    When completed, it will cast light, not only on the origin and growth of this type of text, but also on the exact value of the remaining witnesses to the original text of Acts - and further on the early handling of New Testament writings generally.

    492

    When he had thoroughly meditated every sentence, he sat down to write, and then, such was the grip of his memory, the exact order of his thoughts came back to him as if without an effort, and he wrote down precisely what he had intended to write, without the aid of a note or a memorandum, and without check or pause.

    493

    When it became known that the accounts of these invasions formed a part of the records preserved in the Assyrian libraries, historian and theologian alike waited with breathless interest for the exact revelations in store; and this time expectation was not disappointed.

    494

    When the star enters the field of view its image is approximately bisected by the spider web of the micrometer n, the exact bisection being completed in the immediate neighbourhood of the meridian.

    495

    While it is impossible to give here anything like a complete or exact survey of the field - a task rendered almost impossible by the arbitrary manner in which paragraphs are divided, by the difficulty of making Old English enactments fit into modern rubrics, and by the necessity of counting several times certain paragraphs bearing on different subjects - a brief statistical analysis of the contents of royal codes and laws may be found instructive.

    496

    While the forms of the sea-bed are not yet sufficiently well known to admit of exact classification, they are recognized to be as a rule distinct from the forms of the land, and the importance Submarine of using a distinctive terminology is felt.

    497

    Whiston is a striking example of the association of an entirely paradoxical bent of mind with proficiency in the exact sciences.

    498

    With the aid of its philosophy she created her new Christian theology; its polity furnished her with the most exact constitutional forms; its jurisprudence, its trade and commerce, its art and industry, were all taken into her service; and she contrived to borrow some hints even from its religious worship. With this equipment she undertook, and carried through, a world-mission on a grand scale.

    499

    With the judges were associated a body of elders, who shared in the decision, but whose exact function is not yet clear.

    500

    Without entering into details, which it is the less necessary to do because the subject has been recently discussed with great fulness in works readily accessible, it may be said that for Locke as for Hume the problem of psychology was the exact description of the contents of the individual mind, and the determination of the conditions of the origin and development of conscious experience in the individual mind.