Therefore in A Sentence

    1

    A clause in the constitution of 1864 provided for the reconvening of the convention in certain circumstances, but this clause referred only to necessities prior to the establishment of a government, and had therefore determined.

    2

    A considerable degree of denitrification must, therefore, take place in the ocean, for the concentration of combined nitrogen is always excessively small.

    3

    A favourite form of tolerance was to grant a permit to the Jews to remain in the state for a limited term of years; their continuance beyond the specified time was illegal and they were therefore subject to sudden banishment.

    4

    A penalty was therefore imposed on all who kept above 2000 sheep; and no person was to take in farm more than two tenements of husbandry.

    5

    A project was therefore started for the erection of a suitable building at Bayreuth.

    6

    A Russian monk named Ilarion, in the western Caucasus, had published a book, under the title of In the Mountains of the Caucasus, in which he argued that the name of God, being part of God, is divine, and therefore to be worshipped.

    7

    A simple equation like this, therefore, when properly interpreted, affords a large amount of information.

    8

    A uniform magnetic field is one in which H has everywhere the same value and the same direction, the lines of force being, therefore, straight and parallel.

    9

    Access to Chitral from the north is therefore but a matter of practicable tracks, or passes, in two or three directions, and the measure of practicability under any given conditions can best be reckoned from Chitral itself.

    10

    According to the best determinations the value of elm does not exceed 1.8X Io', and T is of the order of Io 15 second, the period of luminous vibrations; hence OM/M must always be less than 109 H, and therefore the strongest fields yet reached experimentally, which fall considerably short of Io %, could not change the magnetic moment M by as much as a ten-thousandth part.

    11

    According to the law of Avogadro, equal volumes of different gases under the same conditions of temperature and pressure contain equal numbers of molecules; therefore, since the density depends upon the number of molecules present in unit volume, it follows that for a comparison of the densities of gases, the determinations must be made under coincident conditions, or the observations reduced or re-computed for coincident conditions.

    12

    Acids decompose it into lead dioxide and monoxide, and the latter may or may not dissolve to form a salt; red lead may, therefore, be regarded as lead orthoplumbate, Pb2Pb04.

    13

    After pointing out the immense difficulties which he had had to encounter owing to the absence of any regular accounts, and above all of any of " those statistics which constitute the soul, indeed the very life of a public administration," and that it was therefore impossible for him to pretend that he had been able to free himself altogether from the effects of the past, the minister continues, " every time we have endeavoured to have recourse to the previous elements of appreciation, we found ourselves faced by the chaos which characterized former years.

    14

    Again, water, the best electrolytic solvent known, is also the body of the highest specific inductive capacity (dielectric constant), and this property, to whatever cause it may be due, will reduce the forces between electric charges in the neighbourhood, and may therefore enable two ions to separate.

    15

    Alarmed at the sudden revival of the Eastern Empire, which under the Macedonian dynasty extended once more to the Danube, and thus became the immediate neighbour of Hungary, Duke Geza, who succeeded Taksony in 972, shrewdly resolved to accept Christianity from the more distant and therefore less dangerous emperor of the West.

    16

    All copper salts in dilute solution are blue, which is therefore the colour of the copper ion.

    17

    All the arches are pointed and slightly horseshoe, preceding therefore by about two and a half centuries the introduction of the pointed arch into Europe.

    18

    All the latter, therefore, which are between the old wood a and the blossoms c in fig.

    19

    All the stages of the world's history were therefore preparations leading up to this full revelation, and God's care was not confined to the Hebrews alone.

    20

    All this could not have been effected before Howel had subjected Wales to his own rule, therefore not before 943.

    21

    America, and it is therefore probable that with greater experience as to the best methods of tapping and with older trees considerably larger yields may be expected from plantations in the future.

    22

    An electromotive force is therefore set up in this direction, and, if we can calculate the change in available energy due to the processes of the cell, we can foretell the value of the electromotive force.

    23

    An ultimatum was therefore despatched on the 22nd of October 1885.

    24

    And bycause that shepe, in myne opynyon, is the mooste profytablest cattell that any man can haue, therefore I pourpose to speake fyrst of shepe."

    25

    As a municipality covers a large extent of country, the population given is larger than that of the urban parishes, and is therefore not strictly correct according to European practice.

    26

    As against Realism he maintains consistently Res de re non praedicatur; genera and species, therefore, which are predicated of the individual subject, cannot be treated as things or substances.

    27

    As it was written by a Pharisee, it could not have been composed after the breach arose between John Hyrcanus and the Pharisees towards the close of the 2nd century B.C. Thus the period of composition lies between 153, when Jonathan the Maccabee assumed the high-priesthood, and the year of the breach of John Hyrcanus with the Pharisees; some time, therefore, between 153 and 107.

    28

    At a point whose distance from the axis of the wire is r the tangential magnetic force is H = 21r /a 2 (39) it therefore varies directly as the distance from the axis, where it is zero.'

    29

    Bagdad is, therefore, a decayed city.

    30

    Bamberger (a strong supporter of the centric formula), have shown that the nature of the substituent groups influences the distribution of the fourth valencies; therefore it may be con-?

    31

    Berzelius, in 1813 and 1814, by improved methods of analysis, established that the Daltonian laws of combination held in both the inorganic and organic kingdoms; and he adopted the view of Lavoisier that organic compounds were oxides of compound radicals, and therefore necessarily contained at least three elements - carbon, hydrogen and oxygen.

    32

    Besides the forum Stukeley suggested the sites of seven other buildings - the Arx Palatina guarding the south-eastern angle of the city where the Tower now stands, the grove and temple of Diana on the site of St Paul's, &c. No traces of any of these buildings have been found, and they are therefore purely conjectural.

    33

    Blastfurnace treatment has therefore become more general than any other.

    34

    Both at Rome and Constantinople, therefore, the actual fast was but thirty-six days.

    35

    Both include psalms which are most naturally understood as referring to the persecution of Antiochus Epiphanes and to the Maccabaean victories, and cannot therefore be separated by a long interval of time.

    36

    But it is true for the 1st and the 2nd powers; therefore it is true for the 3rd; therefore for the 4th; and so on.

    37

    But little is known of the structure of these extinct animals; we are therefore compelled to deal with such special points of resemblance and difference as their remains still exhibit.

    38

    But most important of the evidences presented by the trilobites of affinity with Limulus, and therefore with the Arachnida, is the tendency less marked in some, strongly carried out in others, to form a pygidial or telsonic shield - a fusion of the posterior somites of the body, which is precisely identical in character with the metasomatic carapace of Limulus.

    39

    But the increase of size which constitutes growth is the result of a process of molecular intussusception, and therefore differs altogether from the process of growth by accretion, which may be observed in crystals and is effected purely by the external addition of new matter - so that, in the well-known aphorism of Linnaeus, the word "grow" as applied to stones signifies a totally different process from what is called "growth" in plants and animals.

    40

    But the sultan refused to ratify these articles, and the relations between Russia and Turkey were therefore determined by the patent treaty only, which positively stipulated for the evacuation by the Russians of every spot occupied by them on Turkish soil in Asia.

    41

    But these interesting phenomena have not hitherto been subject to systematic observation, and our knowledge of them is therefore uncertain.

    42

    But to all these Berthier in the emperor's name sent the stereotyped reply- " The emperor has ordered you to carry four days' provisions, therefore you can expect nothing further - you know the emperor's method of conducting war."

    43

    But what was matter of immanent assumption with Erigena is in them an equating of two things which have been dealt with on the hypothesis that they are separate, and which, therefore, still retain that external relation to one another.

    44

    But, at the same time, the constants in the above relation are not identical with those in the corresponding relation empirically deduced from observations on fatty hydrocarbons; and we are therefore led to conclude that a benzene union is considerably more stable than an ethylene union.

    45

    Collisions, on the other hand, are preventable, and derailments nearly so, and the records of deaths and injuries in this class in successive years are therefore justly taken as an index to the efficiency with which the railways are managed.

    46

    Consequently his labours had attained to a certain degree of completeness in this direction, and it may therefore be expedient here to name the different groups which he thus thought himself entitled to consider established.

    47

    Constancy of composition of the raw materials and their careful and thorough admixture in constant proportions are therefore essential to the production of the required glasses.

    48

    Desire is a state of unhappiness, and the satisfaction of desire is therefore merely the removal of pain.

    49

    Differences between the two electrodes are thus set up, and, as we have seen above, an electromotive force will therefore exist between them.

    50

    Domestic and petty trades are therefore developed only round Tyumen, Tomsk and Irkutsk.

    51

    Drew (1827-1900), the Democratic candidate for governor, then secured a mandamus from the circuit court restraining the board from going behind the face of the election returns; this was not obeyed and a similar mandamus was therefore obtained from the supreme court of Florida, which declared that the board had no right to determine the legality of a particular vote.

    52

    During the period which followed the later canonical books, not only was translation, and therefore exegesis, cultivated, but even more the amplification of the Law.

    53

    Earlier writers make this the site of Labdalum, and put Euryelus farther west; but Labdalum must be sought somewhat farther east, near the northern edge of the plateau, in a point not visible from the Athenian central fort (KUKXos) with a view over Megara - not therefore in the commanding position of Dionysius's fort, with an uninterrupted view on all sides.

    54

    Economics is therefore, on the whole, an intensely conservative science, in which new truths are cautiously admitted or incorporated merely as extensions or qualifications of those enunciated by previous writers.

    55

    Economics, therefore, under modern conditions, is not only a subject which may usefully occupy the attention of a leisured class of scientific men.

    56

    Erigena pronounces no express opinion upon the question which was even then beginning to occupy men's minds; but his Platonico-Christian theory of the Eternal Word as containing in Himself the exemplars of created things is equivalent to the assertion of universalia His whole system, indeed, is based upon the idea of the divine as the exclusively real, of which the world of individual existence is but the theophany; the special and the individual are immanent, therefore, in the general.

    57

    Even in an imitative artist such precocity of talent is remarkable, and the date is therefore open to legitimate doubt.

    58

    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.

    59

    Following the great spring production of plant substance there is, therefore, a summer outburst of animal life.

    60

    For a given strength, therefore, the potential depends solely upon the boundary of the shell, and the potential outside a closed shell is everywhere zero.

    61

    For a point in the line OY bisecting the magnet perpendicularly, 0 =42 therefore cos 0 =0, and the point D is at an infinite distance.

    62

    For Erigena, therefore, the speculative reason is the supreme arbiter; and in accordance with its results the utterances of Scripture and of the church have not infrequently to be subjected to an allegorical or mystical interpretation.

    63

    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.

    64

    For those beestis in the house have short heare and thynne, and towards March they will pylle and be bare; and therefore they may nat abyde in the fylde before the heerdmen in winter tyme for colde.

    65

    Forces acting on a Small Body in the Magnetic Field.-If a small magnet of length ds and pole-strength m is brought into a magnetic field such that the values of the magnetic potential at the negative and positive poles respectively are V 1 and the work done upon the magnet, and therefore its potential energy, will be W =m(V2-Vi) =mdV, which may be written W =m d s- = M d v= - MHo = - vIHo, ds ds where M is the moment of the magnet, v the volume, I the magnetization, and Ho the magnetic force along ds.

    66

    Further, owing to the carelessness of the Prussian negotiator, Napoleon was able to require the exaction of impossibly large sums from that exhausted land, and therefore to keep his troops in her chief fortresses.

    67

    Germany viewed the Russian mobilization as an act of war and therefore declared war on Russia.

    68

    God therefore includes the world in Himself and extends beyond it.

    69

    Grassot has devised a galvanometer, or " fluxmeter," which greatly alleviates the tedious operation of taking ballistic readings.2 The instrument is of the d'Arsonval type; its coil turns in a strong uniform field, and is suspended in such a manner that torsion is practically negligible, the swings of the coil being limited by damping influences, chiefly electromagnetic. The index therefore remains almost stationary at the limit of its deflection, and the deflection is approximately the same whether the change of induction occurs suddenly or gradually.

    70

    Hagen, Gunther and Briinnhilde therefore agree that Siegfried must die.

    71

    Hanover and Hesse-Cassel, which were nearest to Prussia and therefore immediately dangerous, were dealt with promptly and without waiting for the decision in the main theatre of war.

    72

    He began war therefore in 1514 and at once captured Smolensk, but in the following year he was defeated, and the war dragged on during more than seven years, with varying successes and without any important result.

    73

    He believed that Christ instructed men before he came into the world, and he therefore viewed heathenism with kindly eye.

    74

    He belongs therefore to no school of philosophers.

    75

    He contented himself therefore with establishing in his paradise (vara) a heavenly kingdom in miniature, to serve at the same time as a pattern for the heavenly kingdom that was to come.

    76

    He continued, therefore, his efforts to reach the Baltic coast, and he soon came into collision with the Swedes.

    77

    He determined, therefore, to oppose any further disturbance of the balance of power in favour of Germany, and when the treaty of Skierniewice expired in 1887 he declined to renew it.

    78

    He therefore arranged to meet the classes himself every quarter and gave a ticket "under his own hand to every one whose seriousness and good conversation" he found no reason to doubt.

    79

    He therefore closed his career as a dramatic poet by publishing in 1731 his acted comedies, with the addition of five which he had no opportunity of putting on the stage.

    80

    He therefore deserves the homage which Xenophon paid to him in choosing him as hero for his didactic novel.

    81

    He therefore employed the best available art and skill in improving the craft of glass-cutting.

    82

    He therefore gave him many beautiful gifts and everything that could please a prince.

    83

    He therefore placed himself under British protection, and this led to the great Mahratta War, in which the Marquis Wellesley displayed those talents for military and political combination which rendered him illustrious.

    84

    He therefore rejected as worthless the ontological proof offered by Aquinas.

    85

    He therefore resolved to fix himself at Lausanne.

    86

    He therefore set all his wonderful cleverness to the task, going so far as to adopt a little even of that Romantic disobedience to the strict classical theory which he condemned, and no doubt sincerely, in Shakespeare.

    87

    He therefore suggested that the bridge was constructed over the marshy valley of the Lea, probably near Stratford.

    88

    He therefore supported Venice against her enemies, refused to enter the League of Cambray in 1508, and concluded a ten years' alliance with the Signoria, which obliged Hungary to defend Venetian territory without any equivalent gain.

    89

    He therefore urged Turkey to give up to Venice certain places in Dalmatia as a 1 The definitive treaty was signed at Constantinople on the 16th of April 1712 (renewed June 5, 1713).

    90

    He was therefore compelled to make excisions from his narrative and to accept as integral parts of his work passages interpolated by the censors.

    91

    He was therefore deeply disappointed and distressed to find the old feeling of distrust still actively fomented by the press and some of the leading politicians of the country.

    92

    He was therefore one of those who laboured most zealously for the recovery of the crown lands.

    93

    He was, therefore, in the forefront of that intellectual revolution in the course of which speculation ceased to move in the realms of the physical 1 and focused itself upon human reason in its application to the practical conduct of life.

    94

    He worked, therefore, upon more assured ground; his sifting of authorities was more thorough and his method less restricted.

    95

    He, therefore, despite Napoleon's repeated demands, refused to subject his empire to the hardships imposed by the Continental System; at the close of the year 1810 he virtually allowed the entry of colonial goods (all of which were really British borne) and little by little broke away from Napoleon's system.

    96

    Hegel therefore, to take an instance, can no more fitly be classed as a mystic than Spinoza can.

    97

    Hence in all there are mn such systems. If, therefore, we have a third equation, and we substitute each system of values in it successively and form the product of the mn expressions thus formed, we obtain a function which vanishes if any one system of values, common to the first two equations, also satisfies the third.

    98

    Hence within narrow limits Kopp's determinations were carried out under coincident conditions, and therefore any regularities presented by the critical volumes should be revealed in the specific volumes at the boiling-point.

    99

    His body was buried in the church 1 This letter, even if spurious as now suspected, is found in the 11th-century Leiden MS., and is therefore anterior to the first crusade.

    100

    His failure to control the theorizers showed Mirabeau, after the removal of the king and the Assembly to Paris, that his eloquence would not enable him to guide the Assembly by himself, and that he must therefore try to get some support.

    101

    His friends therefore felt, at the close of that long campaign, that the nation owed him some substantial token of gratitude and admiration for those sacrifices.

    102

    His instructions on this point deserve the closest study, for he foresaw the inevitable attraction which a complete entrenched camp would exercise even upon himself, and, therefore, limited his engineers to the construction of a strong bridge head on the right bank and a continuous enceinte, broken only by gaps for counter attack, around the town itself.

    103

    His reasoning appeared to me to be just; there was, therefore, a necessity to call in question the principles upon which it was founded, or to admit the conclusion."

    104

    Hostilities therefore continued.

    105

    Hungary, therefore, for almost the first time in her history, was free to choose a foreign policy of her own, and had she been guided by a patriot, she might now have easily regained Dalmatia, and acquired besides a considerable sea-board.

    106

    Huxley, therefore, considered a hydroid colony, for example, as a single individual, and each separate polyp or medusa budded from it as having the value of an organ and not of an individual.

    107

    Hydrogen and oxygen are, therefore, of very opposite natures, and this is well illustrated by the circumstance that oxygen combines, with very few exceptions, with all the remaining elements, whilst compounds of only a limited number with hydrogen have been obtained.

    108

    If nephritis be present, it may be seriously aggravated, and the drug must therefore be withheld.

    109

    If the structure of the molecule is so perfectly symmetrical that, in the absence of any external field, the resultant magnetic moment of the circulating electrons is zero, then the application of a field, by accelerating the right-handed (negative) revolutions, and retarding those which are left-handed, will induce in the substance a resultant magnetization opposite in direction to the field itself; a body composed of such symmetrical molecules is therefore diamagnetic. If however the structure of the molecule is such that the electrons revolving around its atoms do not exactly cancel one another's effects, the molecule constitutes a little magnet, which under the influence of an external field will tend to set itself with its axis parallel to the field.

    110

    If we wish merely to enumerate those whose partitions contain the figure 0, and do not therefore contain any power of a as a factor, we have the generator ze 1-z2.1-z3.1-z4....1-z0.

    111

    If you are able to consume more energy, you can do more work and therefore create more.

    112

    In a sheet-glass tank there is therefore a gradient of temperature and a continuous passage of material from the hotter end of the furnace where the raw materials are introduced to the cooler end where the glass, free from bubbles and raw material, is withdrawn by the gatherers.

    113

    In company, therefore, with the earl of Norfolk he refused to render foreign service in Gascony, on the plea that they were only bound to serve with the king, who was himself bound for Flanders.

    114

    In Cunina parasitica, however, the ovum develops into an actinula, which buds actinulae as before, but only the daughter-actinulae develop into medusae, while the original, parent-actinula dies off; here, therefore, larval budding has led to a true alternation of generations.

    115

    In erratic blocks of sandstone, found on the Disco shore of the Waigat, have been detected a Sigillaria and a species of either Pecopterisor Gleichenia, perhaps of this age; and probably much of the extreme northern coast of Ellesmere Land, and therefore, in all likelihood, the opposite Greenland shore, contains a clearly developed Carboniferous Limestone fauna, identical with that so widely distributed over the North American continent, and referable also to British and Spitsbergen species.

    116

    In general, therefore, it may be considered that the double linkages are not of exactly the same nature as the double linkage present in ethylene and ethylenoid compounds, but that they are analogous to the potential valencies of benzene.

    117

    In Germany, therefore, the importance of the Moravians must be measured, not by their numbers, but by their influence upon other Christian bodies.

    118

    In his famous speech in the Senate on the 12th of July 1848, on the question of establishing a government for Oregon Territory, he held that a slave should be treated by the Federal government on the same basis as any other property, and therefore that it was the duty of Congress to protect the owner's right to his slave in whatever state or territory of the Union that slave might be.

    119

    In India elephants seldom breed in captivity, though they do so more frequently in Burma and Siam; the domesticated stock is therefore replenished by fresh captures.

    120

    In its medicinal use glycerin is an excellent solvent for such substances as iodine, alkaloids, alkalis, &c., and is therefore used for applying them to diseased surfaces, especially as it aids in their absorption.

    121

    In order that there should be no change in the states of dissociation on mixing, it is necessary, therefore, that the concentration of the hydrogen ions should be the same in each separate solution.

    122

    In small doses it therefore tends to relieve pain, if this be present.

    123

    In spite, therefore, of the encyclopaedic tradition which has persisted from Aristotle through the Arab and medieval schools down to Herbert Spencer, it is forced upon us in our own day that in a pursuit so manysided as medicine, whether in its scientific or in its practical aspect, we have to submit more and more to that division of labour which has been a condition of advance in all other walks of life.

    124

    In studying, therefore, such an apparently simple question as the effect of an act of parliament on wages in a small group of trades we want a general theory which we can use as a kind of index of the factors we have to consider.

    125

    In the case of all these substances the quantities involved are so very small, and the difficulties of estimation are therefore so great, that the information we possess is by no means satisfactory.

    126

    In the case of the ring in question, the circumferential changes were in weak fields less than twice as great as the transverse ones, while in strong fields they were more than twice as great; under increasing magnetic force therefore the volume of the ring was first diminished, then it regained its original value (for H=go), and ultimately increased.

    127

    In the case supposed therefore the total force per square centimetre is H2 F =2712-f-HI+B ?r (4 7r I +H)2 8?r B2 =87r.

    128

    In the editions of the works .of Cyprian a number of treatises are printed which, certainly or probably, were not written by him, and have therefore usually been described as pseudo-Cyprianic. Several of them, e.g.

    129

    In the present article, therefore, the main portions of elementary algebra are treated in one section, without reference to these ideas, which are considered generally in two separate sections.

    130

    In this article we propose therefore to confine ourselves to discussing the character and subject-matter of the science, indicating its relation to other sciences, and explaining the methods by which economists reach their conclusions.

    131

    In this scheme therefore the Baptism occupies the same place which the Birth does in the other, but both are adoptionist.

    132

    Inhabited by the Rauraci and the Sequani, it formed part of ancient Gaul, and was therefore included in the Roman empire in the provinces of Germania Superior and Maxima Sequanorum.

    133

    Iron (moderately magnetized) expands along the lines of magnetization, and therefore for a right-handed spiral exhibits a right-handed twist.

    134

    It appears, therefore, contemporaneously with Christianity, and is a sign of the world-weariness and deep religious need that mark the decay of the old world.

    135

    It appears, therefore, that liquid oxygen is by far the most strongly paramagnetic liquid known, its susceptibility being more than four times greater than that of a saturated solution of ferric chloride.

    136

    It contains nothing distinctly Christian, and it contains nothing of great value; therefore its authorship is a matter of little consequence.

    137

    It follows therefore that two hydrocarbon radicals are bound to the carbon monoxide residue with the same strength as they combine to form a paraffin.

    138

    It follows, therefore, that the main streets also are not in line with the Roman ways, except perhaps in a few instances.

    139

    It follows, therefore, that they have been independently acquired in the course of the evolution of the Coleoptera.

    140

    It had already been understood that the various genera of the Ratitae were the representatives of so many different groups, each of which was at least equivalent to ordinal rank, and that therefore, if the Ratitae were still to be considered a natural group, this common ancestry must be referred to a remote geological epoch.

    141

    It had to be divided, therefore, into a number of independent principalities, but it continued to be loosely held together by the dynastic sentiment of the descendants of Rurik and by the patriarchal authority - a sort of patria potestas - of the senior member of the family, called the grand-prince, who ruled in Kiev, " the mother of Russian cities."

    142

    It has been conjectured, therefore, that David's original home lay in the south.

    143

    It has been decided in the law courts that a limited liability company is not a person in the eye of the law, and therefore does not come under the operation of the act of 1868.

    144

    It has therefore been assumed that Herodotus confused two Pheidons, both kings of Argos.

    145

    It is easy to understand, therefore, why we trace the beginnings of economics, so far as England is concerned, in the 16th century, and why the application of strict scientific tests in this subject of human study has become possible only in comparatively recent times.

    146

    It is false, therefore, to speak of matter as the principle of individuation; and if this is so there is no longer any foundation for the Thomist view that in angelic natures every individual constitutes a species apart.

    147

    It is necessary that the voltage of the current shall be constant whatever be the increase of the speed of the train, and therefore of the dynamo.

    148

    It is necessary, therefore, to avoid reactions involving such intermolecular migrations when determining the orientation of aromatic compounds.

    149

    It is not surprising therefore that Hebrew tradition connects it with the Exodus, the beginning of the theocratic life of the nation.

    150

    It is not therefore surprising that the most various views are still held as to the date and meaning of the book.

    151

    It is not unlikely, therefore, that even a compound as stable in the solid form as potassium chloride should be thus dissociated when dissolved.

    152

    It is possible, therefore, that one early account of David was that of an entrance into the land of Judah, and that round him have gathered traditions partly individual and partly tribal or national.

    153

    It is quite possible therefore that, in the course of their widely extended commerce during the one thousand years of their ascendancy, the Buddhists imported the true frankincense trees from Africa and Arabia into India, and that the accepted Indian species are merely varieties of them.

    154

    It is reasonable, therefore, to conclude that ornament is a stimulus to sexual selection, and this conclusion is enforced by the fact that among many comparatively nude peoples clothing is assumed at certain dances which have as their confessed object the excitation of the passions of the opposite sex.

    155

    It is therefore adapted for conditions which are unsuitable for Hevea.

    156

    It is therefore certain that belief in demons and magic spells prevailed in pre-Mosaic times' among the Israelite clans.

    157

    It is therefore curious that the Chronica majora should give so unfavourable an account of the king's policy.

    158

    It is therefore difficult to suppose that the Jewish Church as a whole passed through a stage in which it was felt desirable to substitute o'n'7 H in writing for n¦n'.

    159

    It is therefore from the point of view of its "charm" that the genius of Stevenson must be approached, and in this respect there was between himself and his hooks, his manners and his style, his practice and his theory, a very unusual harmony.

    160

    It is therefore just as much the business of the zoogeographer, who wishes to arrive at the truth, to ascertain what groups of animals are wanting in any particular locality (altogether independently of its extent) as to determine those which are forthcoming there.

    161

    It is therefore necessary not only to pulverize the soil by repeated ploughings before it be seeded, but, as it becomes gradually more and more compressed afterwards, recourse must be had to tillage while the plants are growing; and this is hoeing, which also destroys the weeds that would deprive the plants of their nourishment.

    162

    It is therefore necessary that the solution should be free from metals which may vitiate the results, or special precautions taken by which the impurities are rendered harmless.

    163

    It is therefore obviously much thicker than the clitellum in the limicolous forms. The position of the clitellum, which is universal in occurrence, varies much as does the number of component segments.

    164

    It is therefore only with caution that we can use them to supplement our knowledge of the true Basilides.

    165

    It is therefore reasonable to hold that the Hebrew Psalter was completed and recognized as an authoritative collection long enough before 130 B.C. to allow of its passing to the Greek-speaking Jews in Alexandria.

    166

    It is unnecessary here to dwell on the precautions which can only be conveniently acquired by experience; a sound appreciation of analytical methods is only possible after the reactions and characters of individual substances have been studied, and we therefore refer the reader to the articles on the particular elements and compounds for more information on this subject.

    167

    It is urged that the various parts are, as a matter of fact, organs; and that it is therefore inadmissible to ignore their functions, as is done in the foregoing definitions.

    168

    It is vain, therefore, to look for clearly defined and systematic presentations of the idea among ancient writers.

    169

    It is, therefore, admirably adapted for both literary and rhetorical purposes.

    170

    It is, therefore, also called by Turks Ramadan Bairam, and exhibits more outward signs of rejoicing than the technically " Greater Festival."

    171

    It is, therefore, his business to "be up."

    172

    It is, therefore, the most densely populated province of Austria.

    173

    It it absurd, therefore, to seek for a cause of the individuality of the thing other than the cause of the thing itself.

    174

    It matters little, therefore, when the older critics appeal to Ezra i.

    175

    It may be well therefore to remember that precisely these laws apply to a secondary wave of sound, which can be investigated upon the strictest mechanical principles.

    176

    It may fairly be contended therefore that the tradition that David is the author of the psalms which are assigned to him in books I.

    177

    It may therefore be expected to retain evidence of the existence of a Pomoerium and Territorium as at Rome.

    178

    It may therefore be said that caoutchouc has been already artificially or synthetically prepared, and the possibility of producing synthetic rubber cheaply on a commercial scale remains the only problem.

    179

    It must suffice, therefore, to record the Pharaoh's simple girdle (with or without a tunic) from which hangs the lion's tail, or the tail-like band suspended from the extremity of his head-dress (above), or the panther or leopard skin worn over the shoulders by the high priest at Memphis, subsequently a ceremonial dress of men of rank.

    180

    It remains, therefore, to consider Erlenmeyer's formula and those derived from the centric hypothesis.

    181

    It should be remembered that such comparatively simple activities, though there is little about them to arrest popular attention, are just the raw material out of which the normal active life of such organisms is elaborated, and that for scientific treatment they are therefore not less important than those more conspicuous performances which seem at first sight to call for special treatment, or even to demand a supplementary explanation.

    182

    It still remains possible therefore that the seven days' eating of unleavened bread (and bitter herbs) is an historical reminiscence of the incidents of the Exodus, where the normal commissariat did not begin until a week after the first exit.

    183

    It therefore appears that the difference between the heats of combustion of two adjacent members of a series of homologous compounds is practically a constant, and that this constant has two average values, viz.

    184

    It therefore took 140 years to double the numbers, while in 1841 the numbers of 1801 were more than doubled.

    185

    It was an imputed omission on the part of the war office, and therefore of the war minister, to provide a sufficient supply of small-arms ammunition for the army which on the 21st of June 1895 led to the defeat of the Rosebery government.

    186

    It was based, therefore, on the great mosque at Kairawan, and although more or less rebuilt, it still preserves its original plan.

    187

    It was decided therefore to abandon offensive operations.

    188

    It was dissolved, therefore, on the 16th of June 1907, and the electoral law which had given such unsatisfactory results was modified by imperial ukase.

    189

    It was natural, therefore, that he should dislike the university, and as natural that the university should dislike him.

    190

    It was not without secret satisfaction, therefore, that Prince Gorchakov watched the repeated defeats of the Austrian army in the Italian campaign of 1859, and he felt inclined to respond to the advances made to him by Napoleon III.; but the germs of a Russo-French alliance, which had come into existence immediately after the Crimean War, ripened very slowly, and they were completely destroyed in 1863 when the French emperor wounded Russian sensibilities deeply by giving moral and diplomatic support to the Polish insurrection.

    191

    It was proposed, therefore; in 1576, that 6000 families should be registered as a militia under a Polish Hetman for the protection of the country against Tatar raids, and that the remainder of the inhabitants should be assimilated to the ordinary peasants of Poland.

    192

    It was therefore decided that with the cardinals each nation should associate six delegates, and that the successful candidate should be required to poll two-thirds of the suffrages, not only in the Sacred College, but also in each of these five groups.

    193

    It was therefore of the first importance that the chain of tradition should be continuous and trustworthy.

    194

    It was therefore only made possible at all by reducing the rations of the fighting men to a minimum and by undertaking the risks of changing the line of communication three times.

    195

    It was, therefore, during the reign of Antipas, and partly if not wholly within his territory, that the Gospel was first preached by the rabbi or prophet whom Christendom came to regard as the one true Christ, the Messiah of the Jews.

    196

    It will be sufficient therefore to note the chief points in which the two antagonists differ.

    197

    It will therefore be seen from the above that next to the Nearctic area the Palaearctic has a much greater affinity to any other, a fact which might be expected from geographical considerations.

    198

    Its conclusions are predetermined, and the initiative of the individual thinker is almost confined, therefore, to formal details in the treatment of his thesis.

    199

    Kruger telegraphed that " this annexation cannot be regarded by this government otherwise than as directed against this republic. They must therefore regard it as an unfriendly act, against which they hereby protest."

    200

    Ladenburg (Ann., 1875, 179, p. 163) to be symmetrical trimethyl benzene; terephthalic acid, the remaining isomer, must therefore be the para-compound.

    201

    Lao is therefore rather a political than an ethnical title, and the people cordially dislike the name, insisting on their right to be called Thai.

    202

    Lastly, in the production of gaseous hydriodic acid from hydrogen and solid iodine H2 - 1 - 12=HI+HI, so much energy is expended in the decomposition of the hydrogen and iodine molecules and in the conversion of the iodine into the gaseous condition, that the heat which it may be supposed is developed by the combination of the hydrogen and iodine atoms is insufficient to balance the expenditure, and the final result is therefore negative; hence it is necessary in forming hydriodic acid from its elements to apply heat continuously.

    203

    Later papers 7 give the results of a more minute examination of those specimens which were remarkable for very low and very high permeabilities, and were therefore likely to be of commercial importance.

    204

    Leonardo's method, therefore, when the difference was a fixed condition of the problem, was necessarily very different from the Arabian, and, in all probability, was his own discovery.

    205

    Let them therefore not adore a cross of gold or silver or bronze or stone.

    206

    Let them therefore not adore the cross.

    207

    Let them therefore not be ordained nor blessed with these prayers.

    208

    Let them therefore not repeat them, nor be hallowed by such prayers.

    209

    Mack's march to Ulm was therefore a necessity of the situation, and his continuance in this exposed position, if foolhardy against such an adversary, was at any rate the outcome of the high resolve that even if beaten he would inflict crippling losses upon the enemy.

    210

    Magnetization is usually regarded as the direct effect of the resultant magnetic force, which is therefore often termed the magnetizing force.

    211

    Man is a creation of Ormazd, who therefore has the right to call him to account.

    212

    Marcellus, therefore, struck his first blow at Leontini, which was quickly stormed; and the tale of the horrors of the sack was at once carried to Syracuse and roused; the anger of its population, who could not but sympathize with their near neighbours, Greeks like themselves.

    213

    Meyer, therefore, conjecturally puts the date of Zoroaster at 1000 B.C., as had already been done by Duncker (Geschichte des Altertums, 4 4, 78).

    214

    Milner therefore returned to England to spend a "hard-begged holiday," which was, however, mainly occupied in work at the Colonial Office.

    215

    Minas Geraes is forested along its water courses and along its southern border only; its sun temperature, therefore, is high and the rainfall in its northern districts is comparatively light.

    216

    Modesty therefore is highly conventional, and to discover its origin the most primitive tribes must be observed.

    217

    More modern inventors have therefore adopted the plan of drawing the glass direct from the furnace.

    218

    Much more important is the effect of the alteration in the amount of crystalloids in the tissues and blood and therefore of the alteration in the osmotic pressure between these.

    219

    Much therefore of what he acquired was assimilated.

    220

    Mysticism differs, therefore, from ordinary pantheism in that its inmost motive is religious; but, whereas religion is ordinarily occupied with a practical problem and develops its theory in an ethical reference, mysticism displays a predominatingly speculative bent, starting from the divine nature rather than from man and his surroundings, taking the symbolism of religious feeling as literally or metaphysically true, and straining after the present realization of an ineffable union.

    221

    Napier, therefore, on the 2nd of December 1841, issued a proclamation in which he stated that in consequence of the emigrant farmers refusing to be treated as British subjects and of their attitude towards the Kaffir tribes he intended resuming military occupation of Port Natal.

    222

    Napoleon therefore came early to the conclusion that he must bring about a concentration of his seagoing fleet in the Channel, which would give him a temporary command of its waters.

    223

    Naturally he felt that the prevalence of Christianity was incompatible with his ideal of Roman prosperity, and therefore that the policy of the Flavian emperors was the only logical solution of an important problem.

    224

    Never was any dominion so purely personal, and therefore so artificial as his.

    225

    Normal expenditure might therefore be calculated to rise rather than fall.

    226

    Now we have seen that the 5 prefixed to n-'p 'p cannot refer to authorship; we seem therefore shut up to one of two alternatives, either the psalms inscribed 's?

    227

    Now, I say there is nothing more dangerous and disadvantageous to the buyer than land so left waste and out of heart; and therefore Cato counsels well to purchase land of one who has managed it well, and not rashly to despise and make light of the skill and knowledge of another."

    228

    Obviously, therefore, liquids are comparable when the pressures, volumes and temperatures are equal fractions of the critical constants.

    229

    Of all the Sanhedrin only Sameas " a righteous man and therefore superior to fear " dared to speak.

    230

    Omar, on hearing the request of his general, is said to have replied that if those books contained the same doctrine with the Koran, they could be of no use, since the Koran contained all necessary truths; but if they contained anything contrary to that book, they ought to be destroyed; and therefore, whatever their contents were, he ordered them to be burnt.

    231

    Omitting such vessels, therefore, the number which entered in the coastwise trade in 1905 was 16,358 of 6,374,832 tons.

    232

    On the evacuation of Boston by the royal troops, therefore, in 1776, he was selected by Governor Wentworth to carry despatches to England.

    233

    On the reconciliation of the king-emperor with the coalition he was therefore selected as the most suitable man to lead the new government, and on the 8th of April 1906 was appointed prime minister, taking at the same time the portfolio of finance.

    234

    On these occasions the actual parallax would be six times greater than that of the sun, and could therefore be measured with much greater precision than in the case of any other planet.

    235

    On this view, the Chaldaeans are the divine instrument for punishing the tyranny of the Assyrians, to whom the following woes will therefore refer.

    236

    One half of the earth has therefore a greater density than the other.

    237

    One of the advantages of electric trains on the multiple control system is that they economize terminal accommodation, because they can be driven from either end indifferently, and therefore avoid the necessity for tracks by which engines can change from one end of the train to the other.

    238

    Only in familiar letters, prolegomena, and prefaces do we find the man Ficino, and learn to know his thoughts and sentiments unclouded by a mist of citations; these minor compositions have therefore a certain permanent value, and will continually be studied for the light they throw upon the learned circle gathered round Lorenzo in the golden age of humanism.

    239

    Pessimism, therefore, depends upon the individual point of view, and the term is frequently used merely in a condemnatory sense by hostile critics.

    240

    Phlogopite is rarely found as colourless transparent sheets and is therefore almost exclusively used for electrical purposes.

    241

    Photius ascribes their composition to Leucius Charinus therefore to the 2nd century, but Lipsius assigns it to the early decades of the 3rd.

    242

    Public policy therefore requires the closest possible study of the economic forces which are moulding the destinies of the great nations of the world.

    243

    Purchases for " speculation " remain in the market and therefore figure again in the sales.

    244

    Push-and-pull shunting is simple, but it is also slow, and therefore efforts have been made at busy yards where great numbers of trains are dealt with to introduce more expeditious methods.

    245

    Recognizing that slavery was a state institution, with which the Federal government had no authority to interfere, he contended that slavery could only exist by a specific state enactment, that therefore slavery in the District of Columbia and in the Territories was unlawful and should be abolished, that the coastwise slave-trade in vessels flying the national flag, like the international slave-trade, should be rigidly suppressed, and that Congress had no power to pass any act which in any way could be construed as a recognition of slavery as a national institution.

    246

    Remains of Roman villas are found in Southwark, which was evidently a portion of Londinium, and it therefore hardly seems likely that a bridge-building people such as the Romans would remain contented with a ferry.

    247

    Rock-filling yields and becomes consolidated under heavy pressure, and therefore does not furnish a rigid support of the overlying strata, but rather a cushion to control and equalize the subsidence.

    248

    Roughly speaking, therefore, cobalt behaves oppositely to iron.

    249

    Scholasticism, therefore, which was in its essence ecclesiastical, had no longer a proper field for its activity.

    250

    Secondly, he knew that the greater the proportion of the Athenians who were prosperously at work in the country and therefore did not trouble to interfere in the work of government the less would be the danger of sedition, whose seeds are in a crowded city.

    251

    She proclaimed, therefore, as heir-apparent the son of her deceased elder sister Anna, Charles Peter Ulrich, duke of HolsteinGottorp, a German in character, habits and religion, and tried to Russianize him by making him adopt the Eastern Orthodox faith and live in St Petersburg during the whole of her reign; but her well-meant efforts were singularly unsuccessful.

    252

    Since 7ra'I is the moment of the sphere (=volume X magnetization), it appears from (10) that the magnetized sphere produces the same external effect as a very small magnet of equal moment placed at its centre and magnetized in the same direction; the resultant force therefore is the same as in (14).

    253

    Since a/d is the real specific volume of the molecule, it is therefore a constant; hence (N2-I)/(N2+2)d is also a constant and is independent of all changes of temperature, pressure, and of the state of aggregation.

    254

    Since Bel signifies the "lord" or "master" par excellence, it is, therefore, a title rather than a genuine name, and must have been given to a deity who had acquired a position at the head of a pantheon.

    255

    Since there is less of the indispensable food material in the warmer seas there is, therefore, less phyto-plankton.

    256

    So long, however, as its walls formed the boundary, and space therefore was limited, the citizens had to provide house-room by building dwellings of many storeys.

    257

    So the Persian kings fixed their residence at Susa, which is always considered as the capital of the empire (therefore Aeschylus wrongly considers it as a Persian town and places the tomb of Darius here).

    258

    Soloviev's history, from the earliest times to 1774, is based throughout on original investigation of sources, and therefore, though inferior to Karamzin's work as literature, is incomparably superior to it in authority.

    259

    Some means is necessary, therefore, to protect the one from the encroachments of the other.

    260

    Soul is, therefore, a practical reality which Paulsen, with Schopenhauer, regards as known by the act of "will."

    261

    South China, therefore, seems, botanically, hardly distinct from the great Indian region, into which many Chinese forms penetrate, as before noticed.

    262

    Special glasses have therefore been produced by Tonnelot in France and at the Jena glassworks in Germany expressly for the manufacture of thermometers for accurate physical measurements; the analyses of these are shown in Table III.

    263

    Still, if the attacking side enjoyed an advantage in this respect, the possible landingplaces were few in number and were therefore well indicated, there had been ample time to protect them with earthworks and barbed wire, and in any disembarkation in face of resistance the tactical conditions favour the defence.

    264

    Such spirals were used in early Athens to confine the back hair, and this fashion may therefore be identified as the Kpc f3vXos.

    265

    Such trains, therefore, range in weight from 600 to 1800 tons or even more, and the journey speeds from terminus to terminus, including stops, vary from 15 to 30 m.

    266

    Suleiman, therefore, turned his arms against them, reaching Bagdad in 1534, and capturing the whole of Armenia.

    267

    The "spot" market might be judged generally as too high, in view of crops and the probable normal demand of the year, but it might not therefore drop immediately, owing partly to the pressure of demand that must be satisfied instantaneously.

    268

    The acreage of wheat, therefore, fluctuated the most, and that of oats the least.

    269

    The action of a hollow magnetized shell on a point inside it is always opposed to that of the external magnetizing force, 6 the resultant interior field being therefore weaker than the field outside.

    270

    The administration therefore decided that ho was unable to represent his government properly and late in 1796 recalled him.

    271

    The annealing process is therefore carried out in a manner differing essentially from that in use for any other variety of flat glass and nearly resembling that used for optical glass.

    272

    The Bavarian law, therefore, is later than that of the Alamanni.

    273

    The beach on which the landing took place proved to be satisfactory, but it lay at the foot of a steep and rugged declivity, which was therefore a most unsuitable place for putting ashore the stores and impedimenta of an army.

    274

    The book, therefore, may go back to pre-Christian times.

    275

    The book, therefore, must have been written before the ethico-spiritual and the popular conceptions of Yahweh came into conscious antagonism, or else after the fall of the state and the restoration of the community of Jerusalem to religious rather than political existence had decided the contest in favour of the prophets, and of the Law in which their teaching was ultimately crystallized.

    276

    The case has been the converse of that of the Romans; the latter had no fine pottery, and therefore employed glass as the material for vessels of an ornamental kind, for table services and the like.

    277

    The cells of the tip at any given moment may be sensitive, but in a few days the power of receiving the stimulus has passed to other and younger cells which then constitute the tip. The power of appreciating the environment is therefore to be associated with the protoplasm only at a particular stage of its development and is transitory in its character.

    278

    The coefficient K/(i +171-K) is positive for ferromagnetic and paramagnetic substances, which will therefore tend to move from weaker to stronger parts of the field; for all known diamagnetic substances it is negative, and these will tend to move from stronger to weaker parts.

    279

    The company therefore promotes a bill, which is considered first by select committees of the two houses of parliament, and afterwards by the two houses themselves, during which period it faces the opposition, if any, of rival concerns, of local authorities and of hostile landowners.

    280

    The concentration effected, Cronje still believed that the relief of Kimberley was the object of the gathering behind Modder River, and therefore held on to his Magersfontein kopje.

    281

    The covered aisles of the court of the Jumma Musjid at Jaunpur are in three storeys with piers, bracket-capitals and architraves, bearing therefore no resemblance to the arcades of Kairawan and Cordova, and constituting a different style.

    282

    The defenders were therefore steadily driven up the hill, and then cleared the front to give the guns room to act.

    283

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

    284

    The differences between the nutritive processes of the animal and the plant are not therefore fundamental, as they were formerly held to be.

    285

    The discriminant is the resultant of ax and ax and of degree 8 in the coefficients; since it is a rational and integral function of the fundamental invariants it is expressible as a linear function of A 2 and B; it is independent of C, and is therefore unaltered when C vanishes; we may therefore take f in the canonical form 6R 4 f = BS5+5BS4p-4A2p5.

    286

    The earliest temple in Paestum, the socalled Basilica, must in point of style be associated with the temples D and F at Selinus, and is therefore to be dated about 57 0 -554 B.C.'

    287

    The early history, therefore, of New South Wales is peculiar to itself.

    288

    The effect of the field upon the speed of the revolving electrons, and therefore upon the moments of the equivalent magnets, is necessarily a very small one.

    289

    The English school of medicine was also profoundly stirred by the teachings of the two brothers William and John Hunter, especially the latter - who must therefore be briefly mentioned, though their own researches were chiefly concerned with subjects lying a little outside the limits of this sketch.

    290

    The entocodon is to be regarded, therefore, not as primarily an ingrowth of ectoderm, but rather as an upgrowth of both bodylayers, in the form of a circular rim (IVa), representing the umbrellar margin; it is comparable to the bulging that forms the umbrella in the direct method of budding, but takes place before a manubrium is formed, and is greatly reduced in size, so as to become a little pit.

    291

    The existing ecclesiastical jurisdiction in England is therefore now confined to the following points.

    292

    The farmer therefore arranges his cropping in such a way that roots, or leguminous crops, succeed the cereal crops.

    293

    The figures for 1890-1891, therefore, show the first really regular collection.

    294

    The first clear trace of the triple choir is therefore in Neh.

    295

    The first term is Abcde, in which all the letters are large; and the coefficient of A 2 a 3 is therefore the number of terms which can be obtained from Abcde by changing three, and three only, of the large letters into small ones.

    296

    The foreign "retable" is, therefore, what should in English be called a "reredos" (q.v.), though that is not in modern usage a movable feature.

    297

    The former pointed out that the supposed isomerism was not due to an arrangement of atoms, but to the disposition of a valency, and therefore it was doubtful whether such a subtle condition could exert any influence on the properties of the substance.

    298

    The French king therefore found it easy to form a temporary alliance with Russell, Hollis and the opposition leaders, by which they engaged to cripple the king's power of hurting France and to compel him to seek Louis's friendship, - that friendship, however, to be given only on the condition that they in their turn should have Louis's support for their cherished objects.

    299

    The general form of covariant is therefore (ab) h i (ac) h2 c) (b h3 a i bb2c'e3...abia?2b?3...

    300

    The glass tubes, therefore, from which the X-ray bulbs are to be fashioned, must not contain any of these oxides, whereas the glass used for making the funnel-shaped shields, which direct the rays upon the patient and at the same time protect the hands of the operator from the action of the rays, must contain a large proportion of lead.

    301

    The gonaduct, therefore, is derived from the topographically right kidney.

    302

    The great name of Haller does not therefore occupy a very prominent place in the history of practical medicine.

    303

    The great problems involved in the study of geographical distribution must therefore be based mainly upon the other classes, both vertebrate and invertebrate, which, moreover, enjoy less great facilities of locomotion than the birds.

    304

    The growth of the protoplasm, though considerable, is therefore not commensurate with the increase in the size of the cell.

    305

    The heaven and the earth together, therefore, to the ancient cosmographers, and still in poetical language, make up the universe.

    306

    The Hebrews of Israel and Judah were, political history apart, men of the same general stamp, with the same cult and custom; for the study of religion and social usages, therefore, they can be treated as a single people.

    307

    The highest common factor (or common factor of highest degree) of two rational integral functions of x is therefore found in the same way as the G.C.M.

    308

    The hoisting speed is therefore slower, and as less engine power is required for a given load the cylinders.

    309

    The hydrocarbon of gutta-percha yields similar results and is therefore closely related to caoutchouc.

    310

    The hysteretic exponent is therefore much higher than in the case of iron, nickel and cobalt, for which its value is approximately I.6.

    311

    The increase of population through immigration is overwhelmingly Catholic, and the nation must, therefore, continue Roman Catholic whether the church is subsidized by the state or not.

    312

    The induction may therefore be specified as B lines per square centimetre.

    313

    The ions will therefore diffuse independently, and the faster ion will travel quicker into pure water in contact with a solution.

    314

    The king obstructed the river so that the enemy could not bring up their ships, and they therefore abandoned them.

    315

    The king's representatives were unable to draw the frontier line by reason of the imperfection of the maps then in existence, and he therefore directed a further survey.

    316

    The last and most characteristic festival of Canaanite life was that of Asiph or " ingathering " which after the Deuteronomic reformation (621 B.C.) had made a single sanctuary and therefore a considerable journey with a longer stay necessary, came to be called Succoth or booths.

    317

    The later stages of evolution leading from his ape-like ancestors to man have consisted definitely in the acquirement of a larger and therefore more educable brain by man and in the consequent education of that brain.

    318

    The latex is therefore usually allowed to coagulate on the tree, as it slowly exudes from the incision.

    319

    The latter is therefore called the generating function of the former.

    320

    The latter with at least 50,000 men was marching in two columns, and ought therefore to have delivered its men into line of battle twice as fast as the French, who had to deploy from a single issue, and whose columns had opened out in the passage of the Kosen defile and the long ascent of the plateau above.

    321

    The laws and regulations concerning vakuf are too intricate to be described; generally it may be said that they form a great obstruction to dealing with a large proportion of the most valuable property in Turkey, and therefore to the prosperity of the country.

    322

    The linear transformation replaces points on lines through the origin by corresponding points on projectively corresponding lines through the origin; it therefore replaces a pencil of lines by another pencil, which corresponds projectively, and harmonic and other properties of pencils which are unaltered by linear transformation we may expect to find indicated in the invariant system.

    323

    The low ground between the slight hills flanking the Thames valley, and therefore mainly south of the present river, was originally occupied by a shallow lagoon of estuarine character, tidal, and interspersed with marshy tracts and certain islets of relatively firm land.

    324

    The main position is that the king is not free in Paris; he must therefore leave Paris and appeal to France.

    325

    The manufacturer had, therefore, a strong inducement to enhance by every means in his power the selling value of his glass after it had escaped the exciseman's clutches.

    326

    The median and posterior extension of the body of the sternum is a direct outgrowth of the latter, therefore FIG.

    327

    The Melchites therefore are those who accept the decrees of Ephesus and Chalcedon as distinguished from the Nestorians and Jacobite Church (qq.v.).

    328

    The men who manipulate the stirring bars are therefore changed at short intervals, while the bars themselves have also to be changed at somewhat longer intervals, as they rapidly become oxidized, and accumulated scale would tend to fall off them, thus contaminating the glass below.

    329

    The money that is spent in prospecting and in development is therefore liable to prove a loss.

    330

    The most notable of these fall within a circumscribed area, and it is therefore necessary to preface their consideration with a statement of the broader characteristic divisions of the metropolis.

    331

    The name Baal might therefore be used for any deity such as Milk (Milcom) or Shemesh (" sun ") who was the divine owner of the spot.

    332

    The National Convention was therefore the first French assembly elected by universal suffrage, without distinctions of class.

    333

    The needles of the primitive compasses, being made of iron, would require frequent re-magnetization, and a " stone " for the purpose of " touching the needle " was therefore generally included in the navigator's outfit.

    334

    The Norman settler in Wales, therefore, did not to any perceptible extent become a Welshman; the existing relations of England and Wales were such that he in the end became an Englishman, but he seems not unnaturally to have been somewhat slower in so doing in Wales than he was in England.

    335

    The Normans in England therefore became Englishmen, because there was an English nation into which they could be absorbed.

    336

    The oesophagus is provided often with caeca which in Syllids and Hesionidae have been found to contain air, and possibly therefore perform the function of the fish's air-bladder.

    337

    The One, the Good, and the Idea of the Good were identical in Plato's mind, and the Good was therefore not deprived of intelligible essence.

    338

    The operations of the British fleet were therefore divided between the work of patrolling the ocean roads and ancillary services to diplomacy, or to the armies serving in Italy, Denmark and, after 1808, in Spain.

    339

    The Order was from the first, therefore, of a national character, unlike the cosmopolitan orders of the Templars and Hospitallers; but in other respects it was modelled upon the same lines, and shared in the same development.

    340

    The original music of the psalms was therefore apparently based on popular melodies.

    341

    The outside cost of construction of the first section, which lies entirely in the plains of Konia, is estimated to have been £625,000; the company retained, therefore, a profit of at least I' 4 millions sterling on this first part of the enterprise.

    342

    The parallax 8.5776" found by Encke was therefore accepted without question, and was employed in the Nautical Almanac from 1834 to 1869.

    343

    The phenomena may therefore be exceedingly complicated.$ 3.

    344

    The plan of the central nervous system is therefore that of the Arthropoda.

    345

    The poles of a piece of magnetized steel may be at once distinguished if the two ends are successively presented to the compass; that end which attracts the south pole of the compass needle (and is therefore north) may be marked for easy identification.

    346

    The process is therefore adapted to the simultaneous estimation of carbon,hydrogen, the halogens and sulphur.

    347

    The promise of " special laws " based upon such consideration was therefore not, in itself, unjust, nor unwelcome.

    348

    The province, therefore, now consists of the five British divisions of Jubbulpore, Nerbudda, Nagpur, Chhattisgarh and Berar, which are divided into the twenty-two districts of Saugor, Damoh, Jubbulpore, Mandla, Seoni, Narsinghpur, Hoshangabad, Nimar, Betul, Chhindwara, Wardha, Nagpur, Chanda, Bhandara, Balaghat, Raipur, Bilaspur, Amraoti, Akola, Ellichpur, Buldana and Wun; and the fifteen tributary states of Makrai, Bastar, Kanker, Nandgaon, Kairagarh, Chhuikhadan, Kawardha, Sakti, Raigarh, Sarangarh, Chang Bhakar, Korea, Sirguja, Udaipur and Jashpur.

    349

    The quarrel was therefore referred to the emperor Nero, who finally gave his decision in favour of the Syrians or Greeks.

    350

    The question as to whether synthetic rubber will ever be produced cheaply on a commerical scale is therefore the important one for those who are largely interested in the rubber-planting industry.

    351

    The re-establishment of the circulation, therefore, should be undertaken with the greatest possible care.

    352

    The respiratory current of water is therefore conducted to the exterior by different means from that adopted by Amphioxus, and this difference is so great that the theory which seeks to explain it has to postulate radical changes of structure, function and topography.

    353

    The resultant magnetic field, therefore, is compounded of two fields, the one being due to the poles, and the other to the external causes which would be operative in the absence of the magnetized metal.

    354

    The resultant magnetic force at every point of such a surface is in the direction of the normal (n) to the surface; every line of force therefore cuts the equipotential surfaces at right angles.

    355

    The reversing key K having been put over to the left side, the short-circuit key S is suddenly opened; this inserts the resistance R, which has been suitably adjusted before hand, and thus reduces the current and therefore the magnetizing force to a known value.

    356

    The rise of conductivity with temperature, therefore, shows that the fluidity becomes greater when the solution is heated.

    357

    The Roman general Paulinus Suetonius, after marching rapidly from Wales to put down a serious insurrection, found Londinium unfitted for a base of military operations, and therefore left the place to the mercy of Boadicea, who entirely destroyed it, and killed the inhabitants.

    358

    The second has a very small area, showing that the work done in reversing the magnetization is small; the metal is therefore adapted for use in alternating current trans formers.

    359

    The seed is a new structure characteristic of this group, which is therefore often referred to as the Seed-plants.

    360

    The so-called Emblemata (insertions) of Tribonian were therefore indispensable, though, of course, we cannot say whether they were always made in the best way.

    361

    The sole difference is therefore that in Eudrilus the ovarian sac gives rise to a tube which bifurcates, one branch meeting a corresponding branch of the other ovary of the pair, while the second branch reaches the exterior.

    362

    The speed of the ship must therefore be so regulated that the angle of immersion is as great as the inclination of the steepest slope passed over.

    363

    The spelter used must therefore be of a good grade, and the lead is usually first refined in a reverberatory furnace (the softening furnace).

    364

    The stirring is therefore discontinued and the clay cylinder is either left embedded in the glass, or by the exercise of considerable force it may be gradually withdrawn.

    365

    The storm made the forest pitch dark; therefore, searching was useless until it abated.

    366

    The subdrift system requires a smaller amount of narrow work in excavating the necessary haulage roads, and is therefore better adapted to hard ores in which such narrow work is expensive.

    367

    The suspended needle is, in the absence of disturbing causes, directed solely by the horizontal component of the earth's field of magnetic force H E, and therefore sets itself approximately north and south.

    368

    The term therefore occurs 1.2.

    369

    The terminal branches of the arteries supplying these organs are usually described as not anastomosing but many, if not all, of Cohnheim's end-arteries have minute collateral channels; which, however, are usually insufficient to completely compensate for the blocking that may occur in these arteries, therefore, when one of them is obstructed, the area irrigated by it dies from malnutrition.

    370

    The third part is the north, which belongs to the central plateau, still much higher, and therefore rough and very cold in the winter.

    371

    The threefold division will therefore be here adhered to.

    372

    The tidal action of the gulf is so slight and the marshes are so low that perfect drainage cannot be obtained through tide gates, which must therefore be supplemented by pumping machinery when rains are heavy or landward winds long prevail.

    373

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

    374

    The treatment is therefore to administer an ounce of sodium sulphate in water by the mouth, or to inject a similar quantity of the salt in solution directly into a vein or into the subcutaneous tissues.

    375

    The trees, except in the Washoe Mountains, are of very slow growth and therefore knotty and ill-adapted for timber.

    376

    The triumph of Galenism was therefore not complete by the middle of the 16th century.

    377

    The Turks, therefore, now possessed a huge numerical preponderance in the theatre of war.

    378

    The universals, therefore, have no existence, as universals, in rerum natura; and Thomas endorses, in this sense, the polemic of Aristotle against Plato's hypostatized abstractions.

    379

    The universe is merely blind Will, not thought; this Will is irrational, purposeless and therefore unhappy.

    380

    The vegetation of the higher and therefore cooler and less rainy ranges of the Himalaya has greater uniformity of character along the whole chain, and a closer general approach to European forms is maintained; an increased number of species is actually identical, among these being found, at the greatest elevations, many alpine plants believed to be identical with species of the north Arctic regions.

    381

    The weight of Malpighi's observations therefore fell into the scale of that doctrine which Harvey terms metamorphosis, in contradistinction to epigenesis.

    382

    The weight W is moved along the scale until the yoke just tilts over upon the stop S; the distance of W from its zero position is then, as can easily be shown, proportional to F, and therefore to B 2, and approximately to I 2.

    383

    The whole army, upwards of 120,000 men, could therefore have - been concentrated against Lannes and Augereau by the afternoon of the 13th, whilst Soult could only have intervened very late in the day, and Davout and Bernadotte were still too distant to reach the battlefield before the 14th.

    384

    The whole of the rod will therefore be subject to a compressive longitudinal stress P, the associated contraction R, expressed as a fraction of the original length, being R = P/M = (B 2 -H2)/87-M, where M is Young's modulus.

    385

    The word holiness (qodesh) in primitive Hebrew usage partook of the nature of taboo, and came to be applied to whatever, whether thing or person, stood in close relation to deity and belonged to him, and could not, therefore, be used or treated like other objects not so related, and so was separated or stood apart.

    386

    The world being a picture of the Will is therefore similarly unhappy.

    387

    Theabsolute heat of combustion of a carbon atom is therefore 135.34 calories, and this is independent of the form of the carbon burned.

    388

    Their hopes were therefore directed to " the coming aeon."

    389

    Their mysticism represents, therefore, no widening or spiritualizing of their theology; in all matters of belief they remain the docile children of their Church.

    390

    Then, in chapters iv.-vi., he turns, with a characteristic and impressive "therefore," to set forth the obligations which correspond to the privileges he has just expounded.

    391

    There are generally two regions where the tufts are thickest, and the attraction therefore greatest, and between them is a zone in which no attraction is evidenced.

    392

    There are therefore maxima and minima in the value of the tide-generating force, depending on the relative positions of the sun, earth and moon.

    393

    There are, therefore, a number of agencies, all of which operate in shoal waters on the lee side of islands, or in shallow lagoons in such regions as the Bahamas, and the result of all these is to throw down calcium carbonate from solution in sea-water as minute needle-shaped crystals or little balls of aragonite.

    394

    There are, therefore, as many gill-pouches as there are gill-slits and as many gill-pores as pouches.

    395

    There is considerable difficulty in removing mounted specimens of algae from paper, and therefore a small portion preserved on mica should accompany each specimen, enclosed for safety in a small envelope fastened at one corner of the sheet of paper.

    396

    There is every reason therefore to believe that Firdousi adhered faithfully to these records of antiquity, and that the poem is a perfect storehouse of the genuine traditions of the country.

    397

    There is no doubt that these are parapodial or limb appendages, carrying numerous imbricated secondary processes, and therefore comparable in essential structure to the leaf-bearing plates of the second meso somatic somite of Limulus.

    398

    There would, therefore, be nothing extraordinary in the fact that a community, always identified in the popular heathen mind with the Jewish faith, should adopt the mode of interment belonging to that religion.

    399

    Therefore 1 lb of tea cost is.

    400

    Therefore a reduction in the partial pressure of the gas in the atmosphere, or a rise in the temperature of the water, or a violent agitation of the sea itself, will lead to precipitation of calcium carbonate.

    401

    Therefore all life in the sea (as on land) depends on the power which the holophytic organisms possess of synthesizing mineral substances into organized tissues.

    402

    Therefore and m = v I - 'm of d22 (47) constant cell B21 its object is to produce inside the tube a magnetic field equal and opposite to that due to the earth's magnetism.

    403

    Therefore every form of degree 2, except of course that one whose weight is zero, is a perpetuant.

    404

    Therefore formula (2), being unsymmetrical, is impossible.

    405

    Therefore he upheld to the full extent of his influence the cause of Germany against the Entente.

    406

    Therefore it is that Ormazd in his grace determined to open the eyes of mankind by sending a prophet to lead them by the right way, the way of salvation.

    407

    Therefore let them first eat meats and be sated, and then let them partake of the mysteries.

    408

    Therefore let them first eat meats and be sated, and then let them partake of the mysteries."

    409

    Therefore let them not wear these garments.

    410

    Therefore let us be exceedingly careful what we say and write about her.

    411

    Therefore the inflow waxes and wanes from season to season throughout the year, but it also varies in the same season in different years.

    412

    Therefore there must be another pair of hydrogen atoms, other than 2 and 6, which are symmetrical with respect to 1.

    413

    Therefore they baptize no one until he is thirty years of age.

    414

    Therefore three di-derivatives are possible, viz.

    415

    Therefore, according to Kekule, the double linkages are in a state of continual oscillation, and if his dynamical notion of valency, or a similar hypothesis, be correct, then the difference between the 1.2 and 1.6 di-derivatives rests on the insufficiency of his formula, which represents the configuration during one set of oscillations only.

    416

    Therefore, in English, as in Roman law, ignorance of the law is no ground for avoiding the consequences of an act.

    417

    Therefore, let them not be baptized in a font.

    418

    Therefore, while every other religion which was purely national was extinguished in the nation's overthrow, the religion of Israel survived even amid exile and dispersion.

    419

    These ancient rocks have hitherto yielded no fossils and their age is therefore uncertain, but they are probably pre-Cretaceous at least.

    420

    These differences arise primarily from the fact that glass for optical uses is required in comparatively large and thick pieces, while for most other purposes glass is used in the form of comparatively thin sheets; when, therefore, as a consequence 5 and crown glass.

    421

    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.

    422

    These persons were either self-elected, or elected for life, or both, and therefore in no degree responsible to the ratepayers.

    423

    These three sections may therefore be regarded as to a certain extent concurrent.

    424

    These urban municipalities are towns which for their local government are independent of the counties in which they are situated, and have, therefore, a larger amount of municipal autonomy than the communes or the other towns.

    425

    They declare that we are all the children of God, and therefore must consider ourselves as brothers and sisters.

    426

    They must therefore have been regarded as canonical in the first half of the 4th century.

    427

    They therefore elect elders, who expound the Scriptures, baptize and hear confessions.

    428

    They therefore rose and dethroned him, soon afterwards putting him to death.

    429

    They therefore spoiled the religious houses and robbed the monastery coffers in order to have means wherewith to rebuild it.

    430

    They were therefore naturally open to bribery and corruption, with the result that, while the rich often got off almost scot free, the poor were unduly taxed, and often cruelly oppressed by the tax collectors and farmers of revenue.

    431

    They, therefore, wanted still another constitutional convention.

    432

    This " principle of aviticity " (osiseg, aviticum), which survived till 1848, was intended to preserve the large feudal estates as part of the new military system, but its ultimate effect was to hamper the development of the country by preventing the alienation, and therefore the mortgaging of lands, so long as any, however distant, scion of the original owning family survived.'

    433

    This allegiance therefore frequently changed, but Lo ndon retained its identity and individuality all Y Y through.

    434

    This increase of knowledge is therefore due, not to auscultation alone, but to auscultation combined with morbid anatomy.

    435

    This is especially the case with the Ectocarpi, Desmarestiae, and a few others, which should therefore be brought home in a separate vessel.

    436

    This is the horse-power, therefore, which must be developed in the cylinders to maintain the train in motion at a uniform speed of 40 m.

    437

    This material can therefore exist in either of two perfectly stable conditions, in one of which it is magnetizable, while in the other it is not.

    438

    This rite therefore was compiled from at least two earlier MSS.

    439

    This rule must vary according to convenience and is therefore made ad hoc. In case No.

    440

    This solution, being an inferior conductor of electricity, requires a much higher electromotive force to drive the current through it, and is therefore more costly in use.

    441

    This surface drifting water is cold and as it enters into intermediate zones it remains colder than the water in situ there and is therefore denser; it sinks below the surface and continues to flow along the bottom either back to the polar regions or towards the equator.

    442

    This was first suggested by Thomas Young, who showed that the rays producing the bows consisted of two systems, which, although emerging in parallel directions, traversed different paths in the drop. Destructive interference between these superposed rays will therefore occur, and, instead of a continuous maximum illumination in the direction of minimum deviation, we should expect to find alternations of brightness and darkness.

    443

    This was partly owing to the fact that national aspirations of any sort were contrary to the imperial system, which claimed to rule by right divine, and partly to an inveterate distrust of the Magyars, who were regarded at court as rebels by nature, and therefore as enemies far more troublesome than the Turks.

    444

    Thornton was held to be referable only to the mode of the execution of the award, and therefore not to be chose jugee.

    445

    Through any point in the field one such line can be drawn, but not more than one, for the force obviously cannot have more than one direction; the lines therefore never intersect.

    446

    To external evidence one must look, therefore, for that which did not fall within the scope or the horizon of the religious historians.

    447

    To Neolithic man, still perhaps represented by some of the more light-coloured and more regularfeatured Polynesian groups, may therefore not unreasonably be attributed these astonishing remains, which assume so many different forms according to the nature of the locality, but seem generally so out of proportion with the present restricted areas on which they stand.

    448

    To the east of the gorge the wall still follows the edge of low cliffs of the, coast, and continues to do so all along the east side of Achradina 1 The date of the fragment of city wall immediately to the north-east of the so-called palaestra is uncertain; it is therefore doubtful whether it can belong to this system of defences (Lupus, pp. 308, 331).

    449

    Trade was therefore still a mere fraction of what it was before the war.

    450

    Under certain conditions, as when latex is allowed to stand or is centrifugalized, a cream is obtained consisting of the liquid globules, which may be washed free from proteid without change, but, either by mechanical agitation or by the addition of acid or other chemical agent, the liquid gradually solidifies to a mass of solid caoutchouc. The phenomenon therefore resembles the change known to the chemist as polymerization, by which through molecular aggregation a liquid may pass into a solid without change in its empirical composition.

    451

    Under the influence of the transient current, the galvanometer needle undergoes a momentary deflection, or " throw," which is proportional to Q, and therefore to 8B, and thus, if we know the deflection produced by the discharge through the galvanometer of a given quantity of electricity, we have the means of determining the value of 8B.

    452

    Unfortunately the effects of magnetization upon the specific resistance of bismuth vary enormously with changes of temperature; it is therefore necessary to take two readings of the resistance, one when the spiral is in the magnetic field, the other when it is outside.

    453

    Vertical shafts are better adapted to rapid hoisting, and have therefore somewhat greater capacity, than inclined shafts.

    454

    Very irregular surfaces may require the use of specially shaped anodes in order that the distance between the electrodes may be fairly uniform, otherwise the portion of the cathode lying nearest to the anode may receive an undue share of the current, and therefore a greater thickness of coat.

    455

    War was therefore declared against Venice, to whom Crete belonged (1644), and continued in the island for.

    456

    War, therefore, went on.

    457

    We can therefore substitute sound diagnosis for guesswork more frequently in modern than in historical problems.

    458

    We cannot solve the equation 7s.+X=4s.; but we are accustomed to transactions of lending and borrowing, and we can therefore invent a negative quantity - 3s.

    459

    We cannot solve the equation 7X =4s.; but we are accustomed to subdivision of units, and we can therefore give a meaning to X by inventing a unit w s.

    460

    We find that fractions follow certain laws corresponding exactly with those of integral multipliers, and we are therefore able to deal with the fractional numbers as if they were integers.

    461

    We have here, therefore, a notice drawn from a distinct source which connects itself with the other omitted passage, xvii.

    462

    We have therefore HP=HE tan 0.

    463

    We may therefore assume that, in acts of public worship at any rate, prayer and its magico-religious congeners are at all stages resorted to as a "means of grace," even though such grace do not constitute the expressed object of petition.

    464

    We may therefore conclude that the molecular volume depends more upon the internal structure of the molecule than its empirical content.

    465

    We may therefore conveniently take as our unit, in place of x, a number y such that x=6y.

    466

    We may therefore distinguish "true" from "titular" prelates.

    467

    We may therefore form an orthogonal transformation in association with every skew determinant which has its leading diagonal elements unity, for the Zn(n-I) quantities b are clearly arbitrary.

    468

    We may therefore generally substitute s/2n for tan 0 in the various expressions which have been given for I.

    469

    We may therefore regard the nitrogen atoms as occupying the centres of a cubic space lattice composed of iodine atoms, between which the hydrogen atoms are distributed on the tetrahedron face normals.

    470

    We may therefore write I.

    471

    We may write therefore 1 These forms, n in number, are called " associated forms " of f (" Schwesterformen," " formes associbes ").

    472

    We must therefore hasten onward to the age of Pericles, in which Hippocrates, already called "the Great," was in medicine as complete a representative of the highest efforts of the Greek intellect as were his contemporaries the great philosophers, orators and tragedians.

    473

    We shall therefore enter at once on a short account of the origin of this literature in Judaism, of its adoption by early Christianity, of the various meanings which the term " apocryphal " assumed in the course of its history, and having so done we shall proceed to classify and deal with the books that belong to this literature.

    474

    We shall, therefore, ignoring the ocular somite, speak of the first, second, third, fourth, fifth and sixth legbearing somites of the prosoma, and indicate the appendages by the Roman numerals, I, II, III, IV, V, VI, and whilst ignoring the praegenital somite we shall speak of the first, second, third, &c., somite of the mesosoma or opisthosoma (united mesosoma and metasoma) and indicate them by the Arabic numerals.

    475

    We should therefore probably ascribe the work attributed to him in the Hotel Carnavalet (in situ), together with much else executed in various parts of Paris - but now dispersed or destroyed - to a period intervening between the date of his dismissal from the Louvre and his death, which is computed to have taken place between 1564 and 1568, probably at Bologna.

    476

    We therefore determine the coefficients by counting the grouped terms individually, instead of adding them.

    477

    We therefore hold that the law of the seventh-day Sabbath goes back to the Mosaic age.

    478

    We therefore represent them by separate symbols, in the same way that we represent the unknown quantity in an equation by a symbol.

    479

    We therefore take A to be 15, and find 3 that 6(x+I)=20(x-2).

    480

    Weber therefore supposed each molecule to be acted on by a force tending to preserve it in its original direction, the position actually assumed by the axis being in the direction of the resultant of this hypothetical force and the applied magnetizing force.

    481

    What does he therefore but resolve to give over toiling, and find himself some factor, to whose care and conduct he may commit the whole managing of his religious affairs - some divine of note and estimation that must be.

    482

    When the fluids inside a particle were mixed together, the particle was neutral; when they were more or less completely separated, the particle became magnetized to an intensity depending upon the magnetic force applied; the whole body therefore consisted of a number of little spheres having north and south poles, each of which exerted an elementary action at a distance.

    483

    When the specimen rotates, the magnet is deflected from its upright position by an amount which depends upon the work done in a single complete rotation, and therefore upon the hysteresis.

    484

    When therefore sensible uniformity is desired, the radius of the ring should he large in relation to that of the convolutions, or the ring should have the form of a short cylinder with thin walls.

    485

    When two organs can be traced along the same line of descent to one primitive form, that is when they are found to be mono phyletic, their homology is complete; when, however, they are traceable to two primitive forms, though these forms belong to the same morphological series, they are polyphyletic and therefore only incompletely homologous.

    486

    When, therefore, in 1850, Mr Stowe was elected to a professorship in Bowdoin College, Brunswick, Maine, and removed his family thither, Mrs Stowe was prepared for the great work which came to her, bit by bit, as a religious message which she must deliver.

    487

    When, therefore, next morning, negotiations were opened by the French, Mack, still feeling certain that the Russians were at hand, agreed to an armistice and undertook to lay down his arms if within the next twenty-one days no relief should arrive.

    488

    When, therefore, the inhabitants of Sao Paulo saw themselves about to be transferred, as a dependency of Portugal, from one master to another, they conceived the idea of erecting their country into an independent state.

    489

    When, therefore, the latter, on the 22nd, marched southward to reopen his communications by the defeat of the enemy's army, always the surest means of solving this difficulty, he actually reached the neighbourhood of Eckmuhl with a sufficient numerical superiority had he only been prompt enough to seize his opportunity.

    490

    When, therefore, their goodness is gone, their corruption becomes worse than the corruption of either of the other forms of government.

    491

    When, therefore, we remember that Aurelius knew little of the Christians, that the only mention of them in the Meditations is a contemptuous reference to certain fanatics of their number whom even Clement of Alexandria compares for their thirst for martyrdom to the Indian gymnosophists, and finally that the least worthy of them were doubtless the most prominent, we cannot doubt that Aurelius was acting unquestionably in the best interests of a perfectly intelligible ideal.

    492

    While therefore the initial susceptibility of nickel is less than that of iron and steel, the range of magnetic force within which it is approximately constant is about one hundred times greater.

    493

    While, therefore, the logical development of algebraic reasoning must depend on certain fundamental relations, it is important that in the early study of the subject these relations should be introduced gradually, and not until there is some empirical acquaintance with the phenomena with which they are concerned.

    494

    With a variety of crops, again, the mechanical operations of the farm, involving horse and hand labour, are better distributed over the year, and are therefore more economically performed.

    495

    With these arrangements there is no demagnetizing force to be considered, for the ring has not any ends to produce one, and the force due to the ends of a rod 400 or 500 diameters in length is quite insensible at the middle portion; H therefore is equal to Ho.

    496

    Yes, but it's a secret society and therefore a hostile and harmful one which can only cause harm.

    497

    Yet the town is under no great industrial or other modernizing influence, and therefore stands in the position of an ancient shrine, drawing a pilgrimage of modern origin.

    498

    You had no real knowledge and therefore no way to make a wise decision.

    499

    Zumalacarregui had therefore to drag behind him the whole weight of the distrust and intrigues of the court.

    500

    Zvornik fell before the Austro-Hungarian army in 1688, and the Turkish vali, who was still officially styled the "vali of Hungary," removed his headquarters from Banjaluka to Travnik, a more southerly, and therefore a safer capital.