Therefore Sentence Examples

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

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

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

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

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

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

War, therefore, went on.

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.

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

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

Bagdad is, therefore, a decayed city.

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

Much therefore of what he acquired was assimilated.

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

It was decided therefore to abandon offensive operations.

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

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

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.

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.

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

He therefore resolved to fix himself at Lausanne.

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

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.

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.

The threefold division will therefore be here adhered to.

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

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

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.

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.

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.

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.

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

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

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

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

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

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.

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.

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.

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

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.

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.

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

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.

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

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).

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.

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.

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.

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

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

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.

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.

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

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.

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.

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.

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.

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

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

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

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

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

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

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.

In these assemblies the large proprietors sit in person, being thus electors in the second degree; the lesser proprietors are represented by delegates, and therefore elect in the third degree.

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

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."

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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

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

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.

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.

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.

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.

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

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.

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

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

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.

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

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

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.

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

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.

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

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.

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.

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.

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.

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

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

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.

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

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

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

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.

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."

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

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.

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.

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.

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.

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.

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

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.

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

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

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

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

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

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.

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.

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.

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."

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.

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."

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.

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.

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

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

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.

The animals which are shipped in this way are necessarily of the best quality, because the freight on a superior beast is no more costly than on an inferior one, and the proportion of freight to sale price is therefore less.

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.

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.

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

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

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.

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

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.

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

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.

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.

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

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.

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.

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.

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.

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

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.

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.

Therefore three di-derivatives are possible, viz.

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

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

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

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.

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.

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-?

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.

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

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

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.

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.

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.

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

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.

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

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

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.

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.

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

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.

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.

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.

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

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

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

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

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.

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

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

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.

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.

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.

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.

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.

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).

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

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.

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.

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

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.

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.

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.

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

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.

They, therefore, wanted still another constitutional convention.

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.

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

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

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.

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

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.

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.

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.

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.

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

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

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

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).

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.

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.

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.

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."

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.

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.

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.

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.

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.

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.

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.

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

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.

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.

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

He belongs therefore to no school of philosophers.

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.

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

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.

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

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

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.

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.

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

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.

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.

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.

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

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

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

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.

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.

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

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.

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

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.

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

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.

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

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.

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

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

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

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.

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

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.

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.

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.

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

Hostilities therefore continued.

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.

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.

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

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

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

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

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

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.

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.

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

We may therefore write I.

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.

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.

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

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.

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

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

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

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

Blastfurnace treatment has therefore become more general than any other.

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

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.

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.

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

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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).

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.

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

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.

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

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.

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.

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.

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.'

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.

The phenomena may therefore be exceedingly complicated.$ 3.

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.

We have therefore HP=HE tan 0.