Required sentence example

required
  • Quinn was required to pick up extra classes when an older professor passed away suddenly.
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  • Money is not required to buy one necessary of the soul.
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  • Alex and Jonathan had a relationship that required few words.
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  • Fixing supper required several.
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  • Tammy was well mannered and required little supervision.
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  • You'll be able to communicate with me as required.
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  • His reasoning was that by the time they were required to get it licensed, they would be married.
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  • What did he need to discuss with his father that required him to go while she was asleep?
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  • Much more evidence would be required to produce a general acceptance of any of the above periods.
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  • Then there was a change in the financial situation, and it became difficult to find the money required.
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  • Two connecting tubes are required.
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  • The conversion of the hotel into an apartment house required kitchens to be added to each room.
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  • No teaching certificate is required by the teachers.
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  • To effect this result required many years of discussion and experiment.
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  • - But in 138 B.C. Antiochus Sidetes entered Seleucia and required the submission of all the petty states, which had taken advantage of the weakness of preceding kings.
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  • Some idea of the business efficiency of the C.R.B., as it was familiarly called, may be gained from the fact that although almost $1,000,000,000 was expended on food and transportation, only about one-half of one per cent was required for overhead expenses.
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  • To do this other qualities than mere military capacity were required.
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  • For the consecration of a bishop at least three bishops are required.
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  • In Italy itself the administration of justice and the finances required special attention.
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  • This is most probable, because the Romans naturally required a special protection on the river at the west as well as at the east.
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  • For computations, we developed processes that required us to perform many intermediate, error-prone steps to achieve an answer.
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  • During the first two years of her intellectual life, I required Helen to write very little.
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  • Dress attire is required in the evenings at this restaurant.
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  • When those occasions arose, Betsy stepped in and tried to talk Howie into the state of relaxation he required.
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  • As close as they were, they liked their privacy, and with their keen hearing, distance was required.
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  • Besides, food out of a can was... canned food – no cooking skills were required.
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  • But the Cartesian theory, like the later speculations of Kant and Laplace, proposes to give a hypothetical explanation of the circumstances and motions which in the normal course of things led to the state of things required by the law of attraction.
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  • The origin of such unendowed curacies is traceable to the fact that benefices were sometimes granted to religious houses pleno jure, and with liberty for them to provide for the cure; and when such appropriations were transferred to lay persons, being unable to serve themselves, the impropriators were required to nominate a clerk in full orders to the.
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  • Most frequently he will be required either to protect a good bowl or to rectify a possible error of the leader.
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  • From Ephesus indeed the garrison fled upon the news of Granicus, but Miletus required a siege.
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  • In one passage he distinctly says the old organ high pitch had been a whole tone above his Cammerton, with which we shall find his tertia minore combines to make the required interval.
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  • The arts colleges of the churches carry on the several courses required by the university, and send their students to the examinations of the university.
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  • The steam is passed through the valve and emerges at the pressure required generally from 3 lb upwards.
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  • The materials required are iron borings, sal-ammoniac and sulphur; these are mixed together, moistened with water, and rammed into the socket, which is previously half filled with yarn, well caulked.
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  • One end of each pipe is plain, so that it may be cut to any desired length; pipes with shaped ends obviously must be obtained in the exact lengths required.
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  • The table given below will be useful in calculating the size of the radiating surface necessary to raise the temperature to the extent required when the external air is at freezing point (32° Fahr.): - At the city of Lockport in New York state, America, an interesting example of the direct app of Lockport.
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  • The latter would have required that the question should have been settled by the church at Antioch instead of being referred to Jerusalem.
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  • Cranmer held that the consecration of a bishop was an unnecessary rite, and not required by Scripture; that election and appointment to office were sufficient.
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  • Recovery required years, although made easier by the sound and steady development of the pastoral and agricultural industries, which were slightly affected by the crisis; and the steadily increasing volume of exports, mainly foodstuffs and other staples, saved the situation.
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  • Even bread-winners are required to serve, the state pensioning their dependants (75 centimes per diem, up to 10% of the strength) during their period of service.
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  • Men physically unfit are wholly exempted, and men who have not, at the tinie of the examination, attained the required physical standard are put back for re-examination after an interval.
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  • There were also a great many schools in the control of various religious congregations, but a law of 1904 required that they should all be suppressed within ten years from the date of its enactment.
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  • The total gold production of the country is from £14,500,000 to £16,000,000, and as not more than three-quarters of a million are required to strengthen existing local stocks, the balance is usually available for export, and the average export of the precious metal during the ten years, 1896-1905, was £12,500,000 per annum.
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  • It required the chastening of adversity to teach it a salutary lesson, and a few years after, when the first effects of the crisis had passed away, business was on a much sounder footing than had been the case for very many years.
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  • Up till 1908 it had been generally assumed that the constitution required the treasurer of the Commonwealth to hand over to the states month by month whatever surplus funds remained in his hands.
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  • Smith, at the request of a member of the commission by which the prize was proposed, undertook in 1882 to write out the demonstration of his general theorems so far as was required to prove the results for the special case of five squares.
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  • He was required to maintain the Protestant reformed religion and to suppress " all religion at variance with the gospel."
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  • When these became law, he neglected to enforce them, and on the 1 st of September 1549 he was required by the council to maintain at St Paul's Cross that the royal authority was as great as if the king were forty years of age.
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  • Where artificial copsewood is the object, hazel, hornbeam and other bushes may be planted between the oaks; but, when large timber is required, the trees are best without undergrowth.
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  • The unit of work is that which is required to overcome a resistance of a dyne over a centimetre, and is called an Erg.
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  • 3 flutes (3rd to play piccolo when required).
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  • 8 horns, 4 of whom are also required to play 4 specially constructed tenor and bass tubas.
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  • Barrel cranes are usually fitted with band brakes, consisting of a brake rim with a friction band placed round it, the band being tightened as required.
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  • Where high speed lowering is not required it is usual to employ a reversing motor and keep it always in gear.
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  • It is now possible to apply motive power exactly where it is wanted, and to do so economically, so that the crane designer has a perfectly free hand in adding the various motions required by the special circumstances of each case.
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  • This telegraph required six wires, and was shortly afterwards displaced by the single-needle system, still to a large extent used on railway and other less important circuits.
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  • This system required two line wires, and, although a remarkably serviceable apparatus and in use for many years, is no longer employed.
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  • The grappling of the cable and raising it to the surface from a depth of 2000 fathoms seldom occupy less than twenty-four hours, and since any extra strain due to the pitching of the vessel must be avoided, it is clear that the state of the sea and weather is the predominating factor in the time necessary for effecting the long series of operations which, in the most favourable circumstances, are required for a repair.
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  • If long circuits were worked direct with ordinary instruments, high battery power would be required in order to send sufficient Single current to actuate the apparatus.
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  • The side rows of holes only are used for transmitting the message, the centre row being required for feeding forward the paper in the transmitter.
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  • Thus for a dot, first a negative and then a positive current is sent to the line, the effect of the current continuing during the time required for the paper to travel the space between two holes.
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  • Either a weight or a motor is used for making the movements of the mechanism required to effect the printing of the signals.
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  • Since each letter is represented by a specific combination of positive and negative currents, it is possible, by means of the combinations, to close a local circuit at any given interval, and so cause the paper to be pressed against the periphery of the type-wheel at the time when the letter required is opposite.
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  • In what is known as the " hybrid " form of recorder the permanent magnets are provided with windings of insulated copper wire; the object of these windings is to provide a means of " refreshing " the magnets by means of a strong current temporarily sent through the coils when required, as it has been found that, owing to magnetic leakage and other causes, the magnets tend to lose their power, especially in hot climates.
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  • As with other duplex systems it is possible to obtain several approximately correct adjustments with the bridge and its accessories, but only one gives a true balance, and careful experiment is required to make sure that this is obtained.
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  • It was also recognized that what is required at the transmitting end is the establishment of powerful electric oscillations in the sending antenna, which create and radiate their energy in the form of electric waves having their magnetic force component parallel to the earth's surface and their electric component perpendicular to it.
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  • The above statements, though correct as far as they go, are an imperfect account of the nature of the radiation from a coupled antenna, but a mathematical treatment is required for a fuller explanation.
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  • What is required, however, is something analogous to an organ pipe which produces a continuous sound.
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  • In these circumstances, when, as frequently will be the case, the person calling desires to be put in communication with a subscriber who belongs to another section, connexions must be established in the office between the two sections; this necessitates additional switchboard arrangements, and also increases the time required to put subscribers in communication with one another.
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  • This system of course requires that the exchange equipment shall include machines _ capable of delivering a positive pulsating current and a negative pulsating current, besides the usual alternations required for the ringing of ordinary subscribers.
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  • The years' working of the whole telephone system of the Post Office showed a balance of £451,787 after payment of the working expenses, while the estimated amount required to provide for depreciation of plant and interest at 3 per cent.
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  • After the Gunpowder Plot parliament required a new oath of allegiance to the king and a denial of the right of the pope to depose him or release his subjects from their obedience.
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  • The principal reasons for the general decrease are the fall in prices through foreign competition and the closing of certain markets, the diseases of plants and the increased outlay required to combat them, and the growth of State and local taxation.
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  • Much of the work is done by companies of peasants, who come down from the mountainous districts when required, permanent residence not being possible owing to the malaria.
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  • The electric power required fcir the tramways and the illuminatiQn of Rome is entirely supplied by turbines situated at Tivoli, and this is the case elsewhere, and the harnessing of this waterpower is capable of very considerable extension.
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  • Elementary, of two grades, of the lower of which there must legally be at least one for boys and one for girls in each commune; while the upper grade elementary school is required in communes having normal and secondary schools or over 4000 inhabitants.
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  • The monastic buildings required for public purposes have been made over to the communal and provincial authorities, while the same authorities have been entrusted with the administration of the ecclesiastical revenues previously set apart for charity and education, and objects of art and historical interest have been consigned to public libraries and museums. By these laws the reception of novices was forbidden in the existing conventual establishments the extinction of which had been decreed, and all new foundations were forbidden, except those engaged in instruction and the care of the sick.
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  • Moreover the strategic geography of the country required the greater part of the army to be stationed permanently within reach of the north-eastern and north-western frontiers.
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  • Once seated in the duchy of Milan, he displayed rare qualities as a ruler; for he not only entered into the spirit of the age, which required humanity and culture from a despot, but he also knew how to curb his desire for territory.
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  • The serious feature of the situation lay less in the income than in the intangible expenditure, namely, the vast sums required for interest on the various forms of public debt and for pensions.
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  • Robilant, for whom the Skiernie~vice pact was no secret, followed a firmly independent policy throughout the Bulgarian crisis of 1885-1886, declining to be drawn into any action beyond that required by the treaty of Berlin and the protection.
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  • The Brahman priest (brahma) being thus the recognized head of the sacerdotal order (brahma), which itself is the visible embodiment of sacred writ and the devotional spirit pervading it (brahma), the complete realization of theocratic aspirations required but a single step, which was indeed taken in the theosophic speculations of the later Vedic poets and the authors of the Brahmanas (q.v.), viz.
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  • It required for its formation an amount of scientific knowledge which could only be very gradually acquired.
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  • It provided for the visitation of the clergy by the bishop, and for the power of the clergy to exclude their lay folk from the Holy Communion, subject to appeal to the bishop. Both minor and major excommunication had been in use, and for a long time public penance was required.
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  • The procedure underwent great modification in 1686; but public penance was not taken away till 1855, and then confession to and absolution by the priest in the presence of witnesses was still required.
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  • Among various reasons, the most convincing is that the presence of Aurelius was required in Rome; moreover, the real leader was evidently Cassius.
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  • 1233 passed a law, which remained in force for a long time in the two Sicilies, by which every medical man was required to give information against any pharmacist who should sell bad medicine.
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  • The medicinal preparations which required the aid of a furnace, such as mineral earths, were undertaken by the chymists, who probably derived their name from the Alchymists, who flourished from the 14th to the 16th centuries.
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  • None of these may be sold to any person who is unknown to the seller, unless introduced by a person known to the seller, and not until after an entry is made in a book kept for the purpose, stating, in the prescribed form, the date of sale, name and address of purchaser, the name and quantity of the article sold, and the purpose for which it is stated by the purchaser to be required.
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  • Two or three years of apprenticeship is required in most countries, including Great Britain, but none in Belgium, Greece, Italy or Spain.
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  • A very considerable body of knowledge relating to this subject already exists, but further work on experimental lines is urgently required to enable us to understand the actual economy of plants growing under different conditions of life and the true relation of the hereditary anatomical characters which form the subject matter of systematic anatomy to those which vary according to the conditions in which the individual plant is placed.
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  • He divides geography into The Spherical Part, or that for the study of which mathematics alone is required, and The Topical Part, or the description of the physical relations of parts of the earth's surface, preferring this division to that favoured by the ancient geographers - into general and special.
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  • Thus the best approximation to the average depth of the ocean is little more than an expert guess; yet a fair approximation is probable for the features of sub-oceanic relief are so much more uniform than those of the land that a smaller number of fixed points is required to determine them.
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  • The queen required a protector, whom she found, not in the feeble Darnley, nor in any of the leaders of the factions, but in the strong, determined earl who had ever been a stanch supporter of the throne against the Protestant party and English influence.
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  • The experiment was so far successful that, with incredible difficulty, the two vessels did actually reach Meskene, but the result of the expedition was to show that practically the river could not be used as a high-road of commerce, the continuous rapids and falls during the low season, caused mainly by the artificial obstructions of the irrigating dams, being insurmountable by ordinary steam power, and the aid of hundreds of hands being thus required to drag the vessels up the stream at those points by main force.
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  • By the ancient canons all monasteries were to spend at least a tenth part of their income in alms to the poor, and all bishops were required to keep almoners.
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  • In his next two works, undoubtedly those most characteristically expressive of his peculiar strength, 'Tis Pity she's a Whore (acted c. 1626) and The Broken Heart (acted c. 1629), both printed in 1633 with the anogram of his name Fide Honor, he had found horrible situations which required dramatic explanation by intensely powerful motives.
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  • The corps of gendarmes was also incorporated in this department, the under-secretary of the interior being placed at its head and at that of the police generally, with practically unlimited jurisdiction in all cases which, in the judgment of the minister of the interior, required to be dealt with by processes outside the ordinary law.
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  • It always had a prince, no doubt, but he was engaged by formal contract without much attention being paid to hereditary rights, and he was merely leader of the troops, while all the political power remained in the hands of the civil officials and the Vetche, a popular assembly which was called together in the market-place, as occasion required, by the tolling of the great bell.
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  • The grand khan was the lord paramount or suzerain of the Russian princes, and he had the force required for making his authority respected.
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  • The incident afforded a new proof, where no proof was required, that the autocratic power in Russia was supreme.
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  • Peter had endeavoured to import from western Europe the essentials of good government and such of the useful arts as were required for the development of the natural resources of the country; Catherine did likewise, but she did not restrict herself to purely utilitarian aims in the narrower sense of the term.
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  • Partly from disappointment and nervous exhaustion, and partly from a conviction that the country required rest in order to judge the practical results of the reforms already accomplished, the tsar refrained from further initiating new legislation, and the government gave it to be understood that the epoch of the great reforms was closed.
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  • In America, the basic units have been the ton-mile and the passenger-mile, and these figures are now required to be furnished to the Interstate Commerce Commission and to most of the state commissions as well.
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  • The inspector, after making his investigation, is required to make a report to the Board of Trade as to the causes of the accident and the circumstances attending the same, with any observations on the subject which he deems right, and the Board " shall cause every such report to be made public in such manner as they think expedient."
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  • In America, also, freight trains are fitted with an automatic continuous brake, whereas in the United Kingdom this appliance is required by law only in the case of passenger trains, and in fact is not fitted to goods and mineral trains except in a few isolated instances.
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  • Publicity of rates was not generally required, and provisions against discrimination were rare.
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  • It made provision for publicity of rates and for due notice of any change in rates; it forbade pooling of freight or earnings, and required annual reports from the carriers.
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  • It enacted that published rates should not be changed except on thirty days' notice, whether the change involved an increase or a decrease, and it required annual reports to be made under oath, penalties being prescribed for failure to comply with the Commission's requests for information.
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  • The cost of such ventures and the detailed methods by which they are financed are of relatively small importance, because they are not required to earn a money return on the investment.
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  • An endeavour is made so to plan the works of a railway that the quantity of earth excavated in cuttings shall be equal to the quantity required for the embankments; but this is not always practicable, and it is sometimes advantageous to obtain the earth from some source close to the embankment rather than incur the expense of hauling it from a distant cutting.
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  • Blenkinsop placed the teeth on the outer side of one of the running rails, and his reason for adopting a rack was the belief that an engine with smooth wheels running on smooth rails would not have sufficient adhesion to draw the load required.
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  • The weight required to cause the downward motion is obtained either by means of the material which has to be transported to the bottom of the hill or by water ballast, while to aid and regulate the motion generally steam or electric motors are arranged to act on the main drums, round which the cable is passed with a sufficient number of turns to prevent slipping.
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  • The amount of superelevation required to prevent derailment at a curve can be calculated under perfect running conditions, given the radius of curvature, the weight of the vehicle, the height of the centre of gravity, the distance between the rails, and the speed; but great experience 1 See The Times Engineering Supplement (August 22, 1906), p. 265.
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  • The advantage claimed for roofs formed with one or two large spans is that they permit the platforms and tracks to be readily rearranged at any time as required, whereas this is difficult with the other type, especially since the British Board of Trade requires the pillars to be not less than 6 ft.
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  • A locomotive depot further includes stores of the various materials required in working the engines, coal stages at which they are loaded with coal, and an ample supply of water.
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  • When water is required, a scoop is lowered into them from below the engine, and if the speed is sufficient the water is forced up it into the tender-tanks.
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  • The shed may have a single pair of rails for wagons running through it along one side of a raised platform, there being a roadway for carts on the other side; or if more accommodation is required there may be two tracks, one on each side of the platform, which is then approached by carts at the end.
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  • The increased loading space required in the sheds is obtained by multiplying the number and the length of lines and platforms; sometimes also there are short sidings, cut into the platforms at right angles to the lines, in which wagons are placed by the aid of wagon turn-tables, and sometimes the wagons are dealt with on two floors, being raised or lowered bodily from the ground level by lifts.
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  • In some cases nothing more is required than to attach an engine and brake-van (" caboose ") and despatch the train; but if, as will happen in others, a further rearrangement of XXII.
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  • - If W 1 is the weight of the train in pounds and a the acceleration in feet per second, the force required to produce the acceleration is f = Wi a / g (19) And if V is the average speed during the change of velocity implied by the uniform acceleration a, the rate at which work is done by this force is fV= W1Va /g (20) or in horse-power units Time occupied in the change - 13 - 0 113.
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  • The principal condition operating in the design of locomotives intended for local services with frequent stops is the degree of acceleration required, the aim of the designer being to produce an engine which shall be able to bring the train to its journey speed in the shortest time possible.
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  • For example, suppose it is required to start a train weighing 200 tons from rest and bring it to a speed of 30 m.
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  • On the continent of Europe there are occasionally four classes, but though the local fares are often appreciably lower than in Great Britain, only first and second class, sometimes only first class, passengers are admitted to the fastest trains, for which in addition a considerable extra fare is often required.
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  • Similarly in Europe they are often the property of the International Sleeping Car Company (Compagnie Internationale des Wagons-Lits), and the supplementary fares required from those who travel in them add materially to the cost of a journey.
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  • The current required for it is generated by dynamos driven from the axles of the coaches.
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  • For the first installation a single line is prescribed, but the concessionaire must provide space and be prepared to double when required.
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  • The simplicity is great; they can be quickly mounted and dismounted; the correct gauge can be perfectly maintained; the sections of rails and sleepers (which are of iron) are very portable, and skilled labour is not required to lay or to take them up; the making of a " turn-out " is easy, by taking out a 15 ft.
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  • The presence of certain "mediums" was required to form the link between the worlds of the living and of the dead, and Kate Fox and her sister were the first mediums. Spiritualists do not as yet claim to know what special qualities in mediums enable spirits thus to make use of them.
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  • It was agreed that one rap should mean "no" and three "yes," while more complicated messages were - and are - obtained in other ways, such as calling over or pointing to letters of the alphabet, when raps occur at the required letters.
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  • Elizabeth required Grindal to suppress the "prophesyings" or meetings for discussion which had come into vogue among the Puritan clergy, and she even wanted him to discourage preaching; she would have no doctrine that was not inspired by her authority.
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  • But this scattered and heterogeneous empire required a large standing army and a strong central government to hold it together.
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  • Mr English, one of his secretaries, has furnished a picture of him at this period seated in a study lined on two sides with books and darkened by green screens and curtains of blue muslin, which required readjustment with almost every cloud that passed across the sky.
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  • A residence in the state of six months and in the district or county of thirty days preceding the election is required of all voters.
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  • There is also a provision that only three-fourths of the jurors may be required to agree to a verdict in civil cases, although the legislature has the power to require by statute a unanimous agreement.
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  • A poll tax is required of all males between the ages of 21 and 60 years, one half of which goes to the county in which it is collected and the rest to the state.
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  • But his military appointment required obedience to the Committee of Public Safety, and this body, largely dominated by Edmund Pendleton, so restrained him from active service that he resigned on the 28th of February 1776.
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  • It seems, however, most likely that the periods of time required for such changes are immense and that the changes accomplished in only a century or two are absolutely inappreciable.
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  • If now it is required to find the heat of formation of the compound CO, which cannot be directly ascertained, we have merely to subtract the second equation from the first, each symbol representing constant intrinsic energy, and thus we obtain C+0 - 00= 26300 cal., or C+0=C0+26300 cal., that is, the heat of formation of a gramme-molecule of carbon monoxide is 26300 cal.
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  • Antiochus required peace in Jerusalem and probably regarded Onias as the representative of the pro-Egyptian faction, the allies of his enemy.
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  • Judas had won for them religious freedom: but the Temple required a descendant of Aaron for priest and he was come.
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  • Hyrcanus her elder son was only high priest, as the stricter Pharisees required.
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  • His captors now required -of him that he should put a curse upon Aristobulus and his faction.
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  • So Herod and Phasael continued to be virtually kings of the Jews: Antony's court required large remittances and Palestine was not exempt.
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  • For a year (June 68 - June 69) he held his hand and watched events, until the robber-bands of Simon Bar-Giora (son of the proselyte) required his attention.
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  • (911-959) goes back the Jewish form of oath which in its later development required the Jew to gird himself with thorns; stand in water; and, holding the scroll of the Torah in his hand, invoke upon his person the leprosy of Naaman, the curse of Eli and the fate of Korah's sons should he perjure himself.
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  • The caliph Omar initiated in the 7th century a code which required Christians and Jews to wear peculiar dress, denied them the right to hold state offices or to possess land, inflicted a poll-tax on them, and while forbidding them to enter mosques, refused them the permission to build new places of worship for themselves.
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  • The Jews came to England at least as early as the Norman Conquest; they were expelled from Bury St Edmunds in 1190, after the massacres at the coronation of Richard I.; they were required to wear badges in 1218.
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  • Owing to the skill shown on this occasion he seems to have been applied to when any manifesto of unusual ability was required.
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  • Adopting the motto, "My strength is the love of my people," he ruled in strict accordance with constitutional principles, though not hesitating to make the fullest use of the royal prerogative when the intervention of the crown seemed to be required by circumstances.
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  • Each county or legislative district casts as many electoral votes as it has members in the state house of representatives, and a majority of both the electoral and the popular vote is required.
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  • The third provincial congress, which met on the 21st of August 1775, still required its members to sign an oath of allegiance to King George III.
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  • He was thus led to conclude that chemistry is a branch of applied mathematics and to endeavour to trace a law according to which the quantities of different bases required to saturate a given acid formed an arithmetical, and the quantities of acids saturating a given base a geometrical, progression.
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  • Lancelot, already popular hero of a tale in which an adventure parallel to that of the Charrette figured prominently, was pressed into the service, Modred, Guenevere's earlier lover, being too unsympathetic a character; moreover, Modred was required for the final role of traitor.
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  • Thus its non-liability to freeze (when not absolutely anhydrous, which it practically never is when freely exposed to the air) and its nonvolatility at ordinary temperatures, combined with its power of always keeping fluid and not drying up and hardening, render it valuable as a lubricating agent for clockwork, watches, &c., as a substitute for water in wet gas-meters, and as an ingredient in cataplasms, plasters, modelling clay, pasty colouring matters, dyeing materials, moist colours for artists, and numerous other analogous substances which are required to be kept in a permanently soft condition.
    0
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  • The duchy of Aquitaine required a strong ruler, and the union with Anjou was eminently desirable.
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  • Many of the inhabitants of the conquered districts, however, still clung to the old connexion, and on the 30th of September 1872 - the day by which the people were required to determine whether they would consider themselves German subjects and remain, or French subjects and transfer their domicile to France-45,000 elected to be still French, and sorrowfully took their departure.
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  • Among the great variety of problems solved are problems leading to determinate equations of the first degree in one, two, three or four variables, to determinate quadratic equations, and to indeterminate equations of the first degree in one or more variables, which are, however, transformed into determinate equations by arbitrarily assuming a value for one of the required numbers, Diophantus being always satisfied with a rational, even if fractional, result and not requiring a solution in integers.
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  • With one symbol for an unknown, it will easily be understood what scope there is foradroit assumptions, for the required numbers, of expressions in the one unknown which are at once seen to satisfy some of the conditions, leaving only one or two to be satisfied by the particular value of x to be determined.
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  • By the 12th century the archdeacon had become practically independent of the bishop, whose consent was only required in certain specified cases.
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  • The archdeacons are appointed by their respective bishops, and they are, by an act of 1840, required to have been six full years in priest's orders.
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  • From 1879 to 1888 he was engaged on difficult experimental investigations, which began with an inquiry into the corrections required, owing to the great pressures to which the instruments had been subjected, in the readings of the thermometers employed by the "Challenger" expedition for observing deep-sea temperatures, and which were extended to include the compressibility of water, glass and mercury.
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  • His description of the different kinds of ploughs is interesting; and he justly recommends such as were drawn by two horses (some even by one horse) in preference to the weighty and clumsy machines which required four or more horses or oxen.
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  • The exhaustion of the soil induced by both barley and wheat is, however, characteristically that of available nitrogen; and when, under the ordinary conditions of manuring and cropping, artificial manure is still required, nitrogenous manures are, as a rule, necessary for both crops, and, for the spring-sown barley, superphosphate also.
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  • This has taken the form of inoculating the soil with the particular organism required by the particular kind of leguminous crop. To this end the endeavour has been made to produce preparations which shall contain in portable form the organisms required by the several plants, and though, as yet, it can hardly be claimed that they have been generally successful, the work done justifies hopes that the problem will eventually be solved in a practical direction.
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  • The cleaning process is carried on through the next summer by means of successive hoeings of the spring-sown root-crop. As turnips or swedes May occupy the ground till after Christmas little time is left for the preparation of a seed-bed for barley, but as the latter is a shallow-rooted crop only surface-stirring is required.
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  • Hence it is that the amount of food consumed to produce a given amount of increase in live weight, as well as that required for the sustentation of a given live weight for a given time, should - provided the food be not abnormally deficient in nitrogenous substance - be characteristically dependent on its supplies of digestible and available non-nitrogenous constituents.
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  • Through the commission the, money previously spent upon Queen's Plates is offered in the form of " King's Premiums " (to the number of twenty-eight in 1907) of L1 so each for thoroughbred stallions, on condition that each stallion winning a premium shall serve not less than fifty half-bred mares, if required.
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  • The export trade in cattle, sheep and pigs is practically restricted to pedigree animals required for breeding purposes, and though its aggregate value [[Table Xxvi]].-Quantities and Value of Home-bred Live Stock exported from the United Kingdom, 1900-1905.
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  • On farms of moderate size it is usual to hire steam tackle as required, the outlay involved in the purchase of a set being justifiable only in the case of estates or of very big farms where, when not engaged in ploughing, or in cultivating, or in other work upon the land, the steam-engine may be employed in threshing, chaff-cutting, sawing and many similar operations which require power.
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  • He was not taught to compose either in Latin or in Greek, and he was never an exact scholar; it was for the subject matter that he was required to read, and by the age of ten he could read Plato and Demosthenes with ease.
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  • Mill complains that his father often required more than could be expected of him, but his tasks were not so severe as to prevent him from growing up a healthy and high-spirited boy, though he was not constitutionally robust, and his pursuits were so different from those of other boys of the same age.
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  • The manor was indeed self-sufficient and independent in the sense that it could furnish everything required by the majority of the inhabitants, and that over the greater part of rural England production was not carried on with a view to a distant market.
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  • Commercial supremacy required not so much highly trained intelligence amongst manufacturers and merchants as keen business instinct and a certain rude energy.
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  • These qualities are required all the more because, in order to make any further progress with such an inquiry as we have suggested, we have deliberately to make use of abstraction as an instrument of investigation.
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  • On the principles we have explained, therefore, the Ricardian economics should supply just that body of general theory which is required in the investigation of modern economic problems, and the reputation of at any rate the leading writers should be as great as ever.
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  • There the unity of conception and aim, the firm grip of all the different lines of argument and their relation to each other, which are required, can only be given by a single brain.
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  • So that no great amount of original work is required for a reliable account of those general features of the modern system which should form the introduction to economics.
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  • Feudal law required that the king should take seisin of the earldom before regranting it and receiving the homage, and the sheriff of Ayr was directed to take it on Baliol's behalf.
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  • From early historic times it has been held in high estimation in the south of Europe, being used by the Romans for masts and all purposes for which timber of great length was required.
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  • Its officers were required to obey "the statutes of the teaching body, which have for their object uniformity of instruction, and which tend to form for the state citizens attached to their religion, their prince, their country and their family."
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  • French troops were also required to withdraw from Holland and Switzerland, and thus fulfil the terms of the treaty of Luneville.
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  • They, however, refused to place themselves out of the line of direct succession in France, as Napoleon required, in case they accepted this new dignity.
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  • There alone we have proof that the art of writing was commonly practised, and there tribute-tallies suggest an imperial organization; there the arts of painting and sculpture in stone were most highly developed; there the royal residences, which had never been violently destroyed, though remodelled, continued unfortified; whereas on the Greek mainland they required strong protective works.
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  • The port was important throughout the middle ages, and was required to furnish four ships for the French war in 1334.
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  • Outvoting Franklin, they decided to break their instructions, which required them to ` make the, most candid confidential communications on all subjects to the ministers of our generous ally, the king of France; to undertake nothing in the negotiations for peace or truce without their knowledge or concurrence; and ultimately to govern yourself by their advice and opinion "; and, instead,.
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  • It is now, in fact, generally admitted that metamorphosis has been acquired comparatively recently, and Scudder in his review of the earliest fossil insects states that " their metamorphoses were simple and incomplete, the young leaving the egg with the form of the parent, but without wings, the assumption of which required no quiescent stage before maturity."
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  • The change that is required to transform Exopterygota into Endopterygota is merely that a cell of hypodeimis should proliferate inwards instead of outwards, or that a minute hypodermal evaginated bud should be forced to the interior of the body by the pressure of a contracted cuticle.
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  • In fact, almost every condition that is required for the change from exopterygotism to endopterygotism exists among the insects that surround us.
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  • Eight supplements were successively published between 1805 and 1817, and in 1822 a new edition was required.
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  • It is a tradition that, this work not being favourably regarded by the authorities of the Paris Museum, its draughtsman and author were refused closer access to the specimens required, and had to draw and describe them through the glass as they stood on the shelves of the cases.
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  • The enormous labour required for this work seems scarcely to have been appreciated, though it remains to this day one of the most useful books in an ornithologist's library.
    0
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  • Moreover, Dr Cornay's, scheme was not given to the world with any of those adjuncts that not merely please the eye but are in many cases necessary, for, though on a subject which required for its proper comprehension a series of plates, it made even its final appearance unadorned by a single explanatory figure, and in a journal, respectable and wellknown indeed, but one not of the highest scientific rank.
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  • A law of the republic required every merchant trading to the East to bring back some material for the adornment of the fane.
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  • The channel required constant dredging and was altogether inconvenient; yet for many years it remained the main sea approach to Venice.
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  • In 1198, on the election of Enrico Dandolo, the aristocracy carried their policy one step farther, and by the promissione ducale, or coronation oath, which every doge was required to swear, they acquired a powerful weapon for the suppression of all that remained of ancient ducal authority.
    0
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  • Since 18 9 4 women who possess the usual qualifications required of men may vote for and be voted for as members of boards of education.
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  • The constitution requires that all elections be by ballot, and the Australian ballot system was adopted in 1891; registration is required in cities having a population of 11,800 or more.
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  • The power as conferred at that time, however, is broader than usual, for it extends not only to items in appropriation bills, but to separate sections in other measures, and, in addition to the customary provision for passing a bill over the governor's veto by a two-thirds vote of each house it is required that the votes for repassage in each house must not be less than those given on the original passage.
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  • Most of the state institutions secured Federal charters after the establishments of the national banking system (1863-1864), but the high price of government bonds and the large amount of capital required led to a reaction, which was only partially checked by the reduction of the minimum capital to $25,000 under the currency act of the 14th of March 1900.
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  • The common law doctrine of a six months' notice being required to terminate a tenancy from year to year of a corporeal hereditament, does not apply to an incorporeal hereditament such as a right to shoot.
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  • No other feed is required, the only provision necessary being an adequate supply of water and an occasional allowance of salt.
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  • The colonies and dependencies of Great Britain, including India, seemed well able to grow all the cotton that could be required, whilst numerous other countries were ready to afford their co-operation.
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  • When a spinner is required to quote prices of yarn for delivery in the future he is fixed on the horns of a dilemma.
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  • The second is that spinners being required to give attention to two distinct classes of problems would be less likely as a body to become complete masters of either.
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  • The lower the grade the more elaborate and expensive is the machinery required to clean it, and consequently a spinner is willing to pay a certain amount extra for high grade cotton in order to save expenditure on preparatory machinery.
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  • Sand-pumps and bailers are also required to remove detritus, water and oil from the bore-hole.
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  • They are consecutively filled with nitroglycerin, and are lowered to the bottom of the well, one after the other, by a cord wound upon a reel, until the required number have been inserted.
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  • Ragozin states in his work on the petroleum industry that Johann Lerche, who visited the Caspian district in 1735, found that the crude Caucasian oil required to be distilled to render it satisfactorily combustible, and that, when distilled, it yielded a bright yellow oil resembling a spirit, which readily ignited.
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  • A steady continuous current is then passed through the ammeter and low resistance, placed in series with one another and adjusted so as to give any required scale reading on the ammeter.
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  • His duties are described in detail by the king's regulations, but may be summed up as consisting of seeing that the charges are in order, pointing out any informalities or defects in the charges or in the constitution of the court, seeing that any witness required by prosecutor or prisoner is summoned, keeping the minutes of the proceedings, advising on matters of law which arise at any time after the warrant for the courtmartial is issued, drawing up the findings and sentence, and forwarding the minutes when completed to the admiralty.
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  • The frames into which hard soaps are ladled for cooling and solidification consist of rectangular boxes made of iron plates and bound and clamped together in a way that allows the sides to be removed when required; wooden frames are used in the case of mottled soaps.
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  • The process by which the position of a planet at any time is determined from its elements may now be conceived as follows The epoch of passage through pericentre being given, let t be the interval of time between this epoch and that for which the position of the body is required.
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  • Becket and the bishops were required to give these constitutions their approval.
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  • As this cover fits very well it must have required a quite violent shock to remove it.
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  • Such a wall would be required to protect the clusters of dwellings around the Acropolis as well as the springs issuing from the rock, while the gates opening in various directions would give access to the surrounding pastures and gardens.
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  • Unhappily for himself and for Spain, he wanted the singleness of purpose required by a ruler who would devote himself to organization, and also the combination of firmness with temper needed for dealing with his nobles.
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  • The governor has the right to veto any bill, and for passing a bill over his veto an affirmative vote of two-thirds of the members of each house is required.
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  • Each municipality is required to pay to its school board 25% of its receipts from the general property tax.
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  • At the Restoration he signed the declaration required by the Act of Uniformity, and on this account he was the subject of a libellous attack, published in 1665, entitled Covenant-Renouncers Desperate Apostates.
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  • From an analogy instituted between the healthy human being and gold, the most perfect of the metals, silver, mercury, copper, iron, lead and tin, were regarded in the light of lepers that required to be healed.
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  • At the conclusion of the sitting, Lothar Meyer obtained a paper written by Stanislas Cannizzaro in 1858 wherein was found the final link required for the determination of atomic weights.
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  • This is also the case if two substances are brought together in solution, by the action of which upon each other a third body is formed which is insoluble in the solvent employed, and which also does not tend to react upon any of the substances present; for instance, when a solution of a chloride is added to a solution of a silver salt, insoluble silver chloride is precipitated, and almost the whole of the silver is removed from solution, even if the amount of the chloride employed be not in excess of that theoretically required.
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  • In the article Thermodynamics it is shown that the amount of heat required to raise a given weight of a gas through a certain range of temperature is different according as the gas is maintained at constant pressure, the volume in creasing, or at constant volume, the pressure increasing.
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  • The Persians, on the other hand, had a different conception of the godhead, and we have no proof that from them Alexander either required or received divine honours.
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  • Maria Theresa had undoubtedly an instinctive histrionic sense of the perspective of the theatre, and could adopt the appropriate attitude and gesture, passionate, dignified or pathetic, required to impress those she wished to influence.
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  • But during the delicate negotiations which were required to secure the support of the Hungarian nobles she undoubtedly did appeal to them with passionate eloquence, and, we may believe, with a very pardonable sense of the advantage she obtained from her youth, her beauty and her sex.
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  • All objects on a map are required to be shown as projected horizontally upon a plane.
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  • In the formulae which follow we suppose 1 and l' to represent the latitudes, a and b the co-latitudes (90° - 1 or 90° - l'), and t the difference in longitude between them or the meridian distance, whilst D is the distance required.
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  • If a number of copies is required it may be advisable to print a map of the country represented in colours, and either to emboss this map, backed with papier-mâché, or paste it upon a copy of the relief - a task of some difficulty.
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  • In chromolithography a stone is required for each colour.
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  • It was upon a map based upon such a source that Eratosthenes (276-196 B.C.) measured the distance between Syene and Alexandria which he required for his determination of the length of a degree.
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  • A trigonometrical survey was given up and only details of immediate practical use are required.
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  • After a royalist insurrection in 1655, a proclamation was issued announcing that persons suspected of Roman Catholicism would be required to take an oath abjuring the papal authority and transubstantiation.
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  • In the pastoral stage slaves will be captured only to be sold, with the exception of a few who may be required for the care of flocks or the small amount of cultivation which is then undertaken.
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  • But the extension of properties in the hands of the patricians, and the continued absences of citizens required by the expanding system of conquest, necessarily brought with them a demand for slave labour, which was increasingly supplied by captives taken in war.
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  • Peter the Great imposed a poll-tax on all the members of the rural population, making the proprietors responsible for the tax charged on their serfs; and the " free wandering people " who were not willing to enter the army were required to settle on the land either as members of a commune or as serfs of some proprietor.
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  • The strips (inae, philyrae), which were cut with a sharp knife or some such instrument, were laid on a board side by side to the required width, thus forming a layer (scheda), across which another layer of shorter strips was laid at right angles.
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  • Under the Empire its use must have been extensive, for not only was it required for the production of books, but it was universally employed for domestic purposes, correspondence and legal documents.
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  • 1 The pozzolana is the material required for building purposes, for admixture with mortar; and the sandpits are naturally excavated in the stratum which supplies it.
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  • Almost without exception, they had their origin in small burial areas, the property of private persons or of families, gradually ramifying and receiving additions of one subterranean storey after another as each was required for interments.
    0
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  • If a family vault was required, or a burial chapel for a martyr or person of distinction, a small square room was excavated by the side of the gallery and communicating with it.
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  • If a brief definition of instinct, from the purely biological point of view be required, that given in the Dictionary of Philosophy and Psychology may be accepted: "An inherited reaction of the sensori-motor type, relatively complex 3'p 3' p and markedly adaptive in character, and common to a group of individuals."
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  • The decree required all farmers and corn-dealers to declare the quantity of corn in their possession and to sell it only in recognized markets.
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    0
  • The industrial activity of the state has required more labour than has been available.
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    0
  • The constitution of 1812 allowed the General Assembly to name the governor from the two candidates receiving the highest number of votes; gave the governor large powers of appointment, even of local functionaries; and required a property qualification for various offices, and even for voters.
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  • The constitution upon which the government of Cuba rests was framed during the period of the United States military government; it was adopted the 21st of February 1901, and certain amendments or conditions required by the United States were accepted on the 12th of June 1901.
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  • Congress neglected to pass certain laws which were required by the constitution, and which, as regards municipal autonomy, independence of the judiciary, and congressional representation of minority parties, were intended to make impossible the abuses of centralized government that had characterized Spanish administration.
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  • The condition of the working man will never permanently rise above the mere standard of living required for his subsistence, and the continued supply of his kind.
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  • It follows that a careful scrutiny of the very idea of classes and relations is required.
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  • Note that classes are here required in extension, so that the class of human beings and the class of rational featherless bipeds are identical; similarly for relations, which are to be determined by the entities related.
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  • 3 All the contradictions can be avoided, and yet the use of classes and relations can be preserved as required by mathematics, and indeed by common sense, by a theory which denies to a class - or relation - existence or being in any sense in which the entities composing it - or related by it - exist.
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  • The practical object of the enterprise required that the proportionate quantity of yearly output in the various branches, and that the liability of various topics as a matter of fact to occur in connexion with each other, should modify the classification.
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  • Polygamy is almost unknown, possibly because many of the "Turks" are descended from the austere Bogomils, who were, in most cases, converted to Islam, but more probably because the "Turks" are as a rule too poor to provide for more than one wife on the scale required by Islamic law.
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  • The agents of the finance ministry, instead of being mere clerks, are now employed in " the assessment and collection of taxes, the control of expenditure, the preparation and execution of the budget, the estimates of the necessary cash required at different points of the empire - all that, in fine, constitutes the real financial administration of a great empire."
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  • The reserve fund was created primarily to make good any deficiency in the revenues below the amount required to pay the interest due.
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    0
  • Aeetes required of Jason that he should first yoke to a plough his bulls, given him by Hephaestus, which snorted fire and had hoofs of brass, and with them plough the field of Ares.
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  • 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.
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    0
  • Napoleon's object being surprise, all the cavalry except a few vedettes were kept back behind the leading infantry columns and these latter were ordered to advance, on the signal being given, in " masses of manoeuvre, " so as to crush at once any outpost resistance which was calculated upon the time required for the deployment of ordinary marching columns.
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  • But with the struggle raging before him he remained undecided, until at Jena the decision had clearly fallen, and then he crossed the river and arrived with fresh troops too late for their services to be required.
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  • With these numbers it was impossible to attain the high degree of individual efficiency required for the old line tactics, hence they were compelled to adopt the French methods of skirmishers and columns, but as yet they had hardly realized the increased density necessary to be given to a line of battle to enable it to endure the prolonged nervous strain the new system of tactics entailed.
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  • The moment news of their activity reached him, whilst still in pursuit of Sir John Moore, he despatched letters to all the members of the Confederation warning them that their contingents might soon be required, and at the same time issued a series of decrees to General Clarke, his war minister, authorizing him to call up the contingent of 1810 in advance, and directing him in detail to proceed with the formation of 4th and 5th battalions for all the regiments across the Rhine.
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  • The whole of the 17th was required to complete the movement, and as soon as its purpose was sufficiently revealed to the Russians the latter determined to retreat under cover of night.
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  • To meet these forces the emperor could not collect men in all, of whom upwards of 10o,000 were held by Wellington on the Spanish frontier, and more were required to watch the debouches from the Alps.
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  • The general advanced guard of all arms now followed immediately behind the cavalry screen and held the enemy in position, while the remainder of the army followed at a day's march in a " bataillon carree " ready to manoeuvre in any required direction.
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  • Experience soon showed that .when the needful allowance was made for the time required to bring them out of harbour (two tides) and for the influence which the Channel currents must have upon their speed, it would be extremely 'rash to rely on a calm of sufficient length.
    0
    0
  • The Flos of Leonardo turns on the second question set by John of Palermo, which required the solution of the cubic equation x 3 -{-2x'-}-lox = 20.
    0
    0
  • After the end of April little fire heat is required.
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    0
  • A majority of all the members elected to each house is required for the passage of a bill, and a two-thirds majority is necessary to pass a bill over the governor's veto.
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    0
  • Before the days of the "higher criticism" and the rise of the modern scientific views as to the origin of species, there was much discussion among the learned, and many ingenious and curious theories were advanced, as to the number of the animals and the space necessary for their reception, with elaborate calculations as to the subdivisions of the ark and the quantities of food, &c., required to be stored.
    0
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  • The effective electromotive force of the common lead accumulator is less than that required to charge it.
    0
    0
  • This irreversibility is due to the work required to evolve bubbles of gas at the surface of bright platinum plates.
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    0
  • Among these are the precise extent of demand, the limit of the inevitable fall in price with largely increased production, the cost of labour as increasing amounts are required, and the effect of changed conditions on the output of " wild " rubber and the competition of the new plantations which are being established in tropical America.
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  • The point of next importance is the coagulation of the latex so as to produce rubber in the form and of the quality required by the manufacturer.
    0
    0
  • The development of the rubber industry has now reached a stage at which more exact methods of determining the chemical composition and physical properties (strength and elasticity) of rubber are required.
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  • Most of the rubber now manufactured is not combined with sulphur when in the form of sheets, but is mechanically incorporated with about one-tenth of its weight of that substance by means of the mixing rollers - any required pigment or other matter, such as whiting or barium sulphate, being added.
    0
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  • The required thickness of the spread sheet is very often secured by the rubber-faced surfaces of two cloths being united before curing.
    0
    0
  • Uncombined sulphur is injurious, and often leads to the decay of vulcanized goods, but an excess of sulphur is generally required in order to ensure perfect vulcanization.
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  • It is usually made by incorporating about 40% of sulphur with purified Borneo rubber by means of the usual mixing rollers, shaping the required articles out of the mass thus obtained, and heating for six, eight or ten hours to from 135° to 150°.
    0
    0
  • It must be remembered, however, that variations in conditions modify the electromotive force required for any given process.
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    0
  • The electro-deposition of brass-mainly on iron ware, such as bedstead tubes-is now very widely practised, the bath employed being a mixture of copper, zinc and potassium cyanides, the proportions of which vary according to the character of the brass required, and to the mode of treatment.
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  • In dressing mica the "books" are split along the cleavage into sheets of the required thickness, and the sheets trimmed into rectangles with a sharp knife, shears or guillotine, stained and damaged portions being rejected.
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  • In the Testicardines, where no such sliding action of the valves was necessary or possible, no muscles for such an object were required, consequently none took rise from the lateral portions of the valves as in Lingula; but in an extinct group, the Trimerellidae, which seems to be somewhat intermediate in character between the Ecardines and Testicardines, have been found certain scars, which appear to have been produced by rudimentary lateral muscles, but it is doubtful (considering the shells are furnished with teeth, though but rudely developed) whether such muscles enabled the valves, as in Lingula, to move forward and backward upon each other.
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  • In the Democratic convention, though he had a majority of the votes, he did not have the twothirds which the rule of the convention required, and after eight ballots his name was withdrawn.
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    0
  • Innumerable forms have been devised adapted for all purposes, and provided with arrangements for filling the tube, or for keeping it full and starting it into action automatically when required.
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  • Hence this product is the required resultant of the three equations.
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  • 5-11 is a genuine prophecy of the raising up of the Chaldaeans, whence comes that long experience of their rule required to explain the detailed denunciation of their tyranny?
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  • This is the minimum of critical procedure required to do justice to the facts.
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  • At the same time the silver is brought to the required degree of fineness, usually by the use of nitre.
    0
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  • A zincking takes 5-6 hours;1 1 5-2.5% zinc is required for desilverizing.
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  • Stimulants, warmth and opium may be required.
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  • These four nations sent out well-equipped expeditions to various quarters of the globe, both in 1874 and 1882, to make the required observations; but when the results were discussed they were found to be extremely unsatisfactory.
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  • The other element which enters into consideration is the time required for light to pass from the sun to the earth.
    0
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  • As the entire time required for light to pass over the radius of the earth's orbit is only about 500 seconds, this error is fatal to the method.
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  • Jean de Masles, who annotated a portion of his verse, has recorded how the pages and young gentlemen of that epoch were required daily to learn by heart passages of his Breviaire des nobles.
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  • All the data required for standardizing the galvanometer can in this way be determined with accuracy.
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  • After pointing out that, since the magnetization of the metal is the quantity really concerned, W is more appropriately expressed in terms of I, the magnetic moment per unit of volume, than of B, he suggests an experiment to determine whether the mechanical work required to effect the complete magnetic reversal i Phil.
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  • The induction of the magnetization may be measured by observing the force required to draw apart the two portions of a divided rod or ring when held together by their mutual attraction.
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  • Ewing has described an arrangement in which the test bar has a soft-iron pole piece clamped to each of its ends; the pole pieces are joined by a long well-fitting block of iron, which is placed upon them (like the " keeper " of a magnet), and the induction is measured by the force required to detach the block.
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  • The actual magnetizing force H is of course less than that due to the coil; the corrections required are effected automatically by the use of a set of demagnetization lines drawn on a sheet of celluloid which is supplied with the instrument.
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  • The small current required is supplied to the coil from a single dry cell.
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  • - The most generally convenient arrangement for producing such magnetic fields as are required for experimental purposes is undoubtedly a coil of wire through which an electric current can be caused to flow.
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  • The field due to a coil can be made as nearly uniform as we please throughout a considerable space; its intensity, when the constants of the coil are known, can be calculated with ease and certainty and may be varied at will'through wide ranges, while the apparatus required is of the simplest character and can be readily constructed to suit special purposes.
    0
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  • In order to provide a supply of competent officers, each eques was required to fill certain subordinate posts, called militiae equestres.
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  • It is now allowed to stand for some time, decanted from any sediment, and finally mixed with the calculated quantity of potassium sulphate (or if ammonium alum is required, with ammonium sulphate), well agitated, and the alum is thrown down as a finely-divided precipitate of alum meal.
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  • Even where settlements have been located, constant effort is required to keep the vegetation down.
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  • The government even withdrew more of its currency issues than required by the agreement, and the value of the milreis steadily improved.
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  • But he had neither the generous temperament nor the breadth of view which is required in the composition of even a mediocre statesman.
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  • Pandolfo had not the qualities required to found a dynasty such as that of the Medici.
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  • The valleys and coast belt, though practically free from malarial fever, are hot and humid, and fires in dwelling houses are seldom required even in the coolest months; the lower plateaus are cool and the air dry; the uplands are bracing and often very cold, with snow on the ground in winter.
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  • He entered into an elaborate defence of individual property against Plato and More, rather perhaps because the scheme of his work required the treatment of that theme than because it was practically urgent in his day, when the excesses of the Anabaptists had produced a strong feeling against communistic doctrines.
    0
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  • Thus the concrete fact required to enable us to pass arithmetically from the conception of a fractional number to the conception of a surd is the fact of performing calculations by means of logarithms.
    0
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  • If, however, the 3.4.5 results of making changes like this are written down, it will be seen that any one term in the required product is written down several times.
    0
    0
  • We then obtain a set of equations, and by means of these equations we establish the required result by a process known as mathematical induction.
    0
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  • Then a+a = as = a; hence numerical coefficients and indices are not required.
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  • The money required for local administration in England is raised (when the ordinary revenues are insufficient) by assessments on lands and buildings based on their annual rental value.
    0
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  • The financial authority estimates what additional amount beyond revenue is required for the expenses of administration, and levies a rate to meet it.
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  • The rateable value of the parish being known, so much on each pound of the rateable value as will equal the amount required to be raised is levied, and is known as the "rate."
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  • Stops, each occupying one-eighth of the width, and with centres situated at the points of trisection, answer well the required purpose.
    0
    0
  • As the minimum focal length increases with the square of the aperture, a quite impracticable distance would be required to rival the resolving power of a modern telescope.
    0
    0
  • Much skill is required to secure that the film when stripped shall remain undeformed.
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  • E is then the co-ordinate relatively to 0 of any focal point 0' for which the retardation is R; and the required result is obtained by simply integrating (5) with respect to from - cc to +oo.
    0
    0
  • B is the point at which the effect is required, distant a+b from 0, so that AB= b, AP=s, PQ ds.
    0
    0
  • At every point the motion of the lamina will be the same as would have occurred in its absence, the pressure of the waves impinging from behind being just what is required to generate the waves in front.
    0
    0
  • If we suppose that the force impressed upon the element of mass D dx dy dz is DZ dx dy dz, being everywhere parallel to the axis of Z, the only change required in our equations (I), (2) is the addition of the term Z to the second member of the third equation (2).
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  • Moreover Silva possessed a knowledge of stagecraft, and, if he had lived, he might have emancipated the drama in Portugal from its dependence on foreign writers; but the triple licence of the Palace, the Ordinary and the Inquisition, which a play required, crippled spontaneity and freedom.
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  • To these demands the Transvaal government required an answer within 48 hours.
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  • By applying the method of the differential calculus, we obtain cos i= { (µ 2 - 1)/(n24-2n)} as the required value; it may be readily shown either geometrically or analytically that this is a minimum.
    0
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  • Practically the same simple sandal came into use everywhere when required.
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  • It is known that laymen were required to wear special garments, and the priests (who wore dark-red or purple) were sometimes called upon to change their garments in the course of a ceremony.
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  • Abel, the cotton is ground into a pulp, a process which greatly facilitates the complete removal of acids, &c. This pulp is finally drained, and is then either compressed,while still moist, into slabs or blocks when required for blasting purposes, or it is dried when required for the manufacture of propellants.
    0
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  • The ministers are required to countersign all acts relating to their respective departments, and are held responsible both before Congress and the courts for their acts.
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  • On the other hand, the Prussians were new to the battlefield, and the reaction after the elation of victory was intense; moreover, if what happened at Hiihnerwasser affords a guide, the staff would have required some days to disentangle the units which had fought and to assign them fresh objectives.
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  • The healthy bone marrow reacts with remarkable rapidity to the demand for more blood cells which may be required by the organism; its reactions and variations in disease are very striking.
    0
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  • If the white cells be required, as in local suppurating abscess, general septicaemia, acute pneumonia, &c., there is an active proliferation of the myelocytes to form the polymorpho-nuclear leucocytes, so that we have in this condition a leucoblastic transformation of the fatty marrow.
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  • Examples of physiological hypertrophy are found in the ovaries, uterus and mammary glands, where there is an increased functional activity required at the period of gestation.
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  • The soluble soaps which are probably conveyed by the blood will be quickly taken up by such cells, synthetized into neutral fats, and stored in a non-diffusible form till required.
    0
    0
  • Haemosiderin in the normal process of haemolysis is stored up in the cells of certain organs until required by the organism for the formation of fresh haemoglobin.
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  • He twice visited his wife in disguise; was himself visited by his stepfather, Ogilvie, and generally observed less caution than his situation required.
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  • Even now, however, in his sixtieth year, it required some more external pressure to induce him to make himself independent.
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  • 10, required the old service books to be delivered up to be destroyed.
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  • He was the author of numerous inventions, including the cagniardelle, a blowing machine, which consists essentially of an Archimedean screw set obliquely in a tank of water in such a way that its lower end is completely and its upper end partially immersed, and operated by being rotated in the opposite direction to that required for raising water.
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  • Metropolitan borough councils have to obtain the sanction of the Local Government Board to loans for baths, washhouses, public libraries, sanitary conveniences and certain other purposes under the Public Health Acts; for cemeteries the sanction of the Treasury is required, and for all other purposes that of the London County Council; poor law authorities, the metropolitan asylums board, the metropolitan water board and the central (unemployed) body require the sanction of the Local Government Board the receiver for the metropolitan police district that of the Home Office, and the London County Council that of parliament and the Treasury.
    0
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  • Corroborative facts have been gathered from other parts of the country, and, although more evidence is required, such as we have is strongly in favour of the supposition that the London Stone is a prehistoric monument.
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  • The folk-moot met in the precincts of St Paul's at the sound of the bell of the famous belltower, which also rang out when the armed levy was required to march under St Paul's banner.
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  • The citizens were so pleased at this unexpected occurrence that they willingly lent the king £¦000 in 1488, which he required for military preparations against France.
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  • At common law the parish is required to maintain all highways within its bounds; but by special custom the obligation may attach to a particular township or district, and in certain cases the owner of land is bound by the conditions of his holding to keep a highway in repair.
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  • The trustees were required and empowered to maintain, repair and improve the roads committed to their charge, and the expenses of the trust were met by tolls levied on persons using the road.
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  • These demands were made to Zulu deputies on the 11th of December 1878, a definite reply being required by the 31st of that month.
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  • The work of the prospector frequently furnishes much of the information required.
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  • By sinking additional pits or by extending the costeaning trenches and uncovering the outcrop of the deposit more fully it is sometimes possible to obtain all the information required for the most extensive and important mining operations.
    0
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  • In the case of coal, salt, iron ore, pyrite and other homogeneous minerals, boring may give all the information required.
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  • The ore is mined in the ordinary way, by pick and shovel if soft, or by the aid of powder if necessary, and the funnel-shaped bottom of the pit is maintained at such an angle that little or no shovelling is required to bring the excavated material to the shaft.
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  • Grades are made, whenever possible, in favour of the load, and of such degree that the power required to haul out the loaded cars shall be approximately equal to that for hauling back the empties, viz.
    0
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  • The capacity of the tank depends on the power required and the distance to be traversed by a single charge of air.
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  • The hoisting speed is therefore slower, and as less engine power is required for a given load the cylinders.
    0
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  • The maximum load on the engine is thus greater and more power is required than for fixed drums. Steam consumption is economized, whenever possible, by throwing in the clutches of both drums and hoisting in balance.
    0
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  • While a shift of men is being lowered the miners of the preceding shift are usually raised to the surface in the ascending cages, the entire shift being thus changed in the time required for lowering.
    0
    0
  • Even a large skip will hold but a few men, the speed is slower, and more time is required for the men to get into and out of the skip than to step on and off a cage.
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  • The individual pumps are placed several hundred feet apart, so that a series is required for a deep shaft.
    0
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  • Condensers are always required for underground pumps.
    0
    0
  • Two compartments of a shaft may be utilized for this purpose, but greater safety is ensured by two separate openings, as required by law in most mining countries.
    0
    0
  • A certain pressure of air is required to maintain circulation against the resistance, and for a given volume per minute the smaller and more irregular the mine openings the greater must be the pressure.
    0
    0
  • The power required to circulate the air through a mine increases as the cube of the velocity of the air current.
    0
    0
  • To decrease the velocity, when large volumes of air are required, the air passages are made larger, and the mine is divided into sections and the air current subdivided into a corresponding number of independent circuits.
    0
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  • Further, both time and money are required for the development of the mining property before any profit can be realized.
    0
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  • In order to determine the probable profit and life of the mine a definite scale of operations must be assumed, the money required for development and plant and for working capital must be estimated, the methods of mining and treating the ore determined, and their probable cost estimated.
    0
    0
  • But when coal-dust is present, and little or no marsh-gas, an initial explosion - such as is produced by a blown-out shot - is required.
    0
    0
  • To lessen the danger from blasting operations the use of special safety explosives is required in Great Britain and some European countries.
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  • French concurrence was obtained, French support was promised, and measures were at once set on foot to concentrate such naval forces in the Aegean as appeared to be required for the execution of the plan.
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  • The Allies now occupied many miles of front in the peninsula, but there was hardly a spot where the enemy had not the upper hand in respect to ground - what they required was not breadth but depth, and depth they had failed to secure.
    0
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  • Glasses possessing special qualities have been required, and have been supplied by the introduction of new combinations of materials.
    0
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  • 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.
    0
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  • With the exception of the heavier flint (lead) glasses, these can be produced so as to be free both from noticeable colour and from such defects as bubbles, opaque inclusions or " striae," but extreme care in the choice of all the raw materials and in all the manipulations is required to ensure this result.
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  • It is, in fact, admitted that some of the glasses, most useful optically, the dense barium crown glasses, which are so widely used in modern photographic lenses, cannot be produced entirely free either from noticeable colour or from numerous small bubbles, while the chemical nature of these glasses is so sensitive that considerable care is required to protect the surfaces of lenses made from them if serious tarnishing is to be avoided.
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  • The qualities required in optical glasses have already been partly referred to, but may now be summarized: I.
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  • Processes of annealing, or very gradual cooling, are intended to relieve these strains, but such processes are only completely effective when the cooling, particularly through those ranges of temperature where the glass is just losing the last traces of plasticity, is extremely gradual, a rate measured in hours per degree Centigrade being required.
    0
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  • 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.
    0
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  • In the next stage of the process, the glass is raised to a high temperature in order to render it sufficiently fluid to allow of the complete elimination of these bubbles; the actual temperature required varies with the chemical composition of the glass, a bright red heat sufficing for the most fusible glasses, while with others the utmost capacity of the best furnaces is required to attain the necessary temperature.
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  • The stages of the process so far described generallyoccupy from 36 to 60 hours, and during this time the constant care and watchfulness of those attending the furnace is required.
    0
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  • The price, however, rapidly increases with the total bulk of perfect glass required in one piece, so that large disks of glass suitable for telescope objectives of wide aperture, or blocks for large prisms, become exceedingly costly.
    0
    0
  • In works, however, in which most of the goods are moulded, and where less skilled labour is required, the proportion of boy labour is increased.
    0
    0
  • A non-spherical form can only be produced by blowing the hollow bulb into a mould of the required shape.
    0
    0
  • A vase decorated with these simple or complex canes is produced by embedding short lengths of the cane on the surface of a mass of molten glass and blowing and fashioning the mass into the required shape.
    0
    0
  • In modern thermometry instruments of extreme accuracy are required, and researches have been made, especially in Germany and France, to ascertain the causes of variability in mercurial thermometers, and how such variability is to be removed or reduced.
    0
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  • The temperature required in the fusion of sheet-glass and of other glasses produced in tank furnaces is much lower than that attained in steel furnaces, and it is consequently pos Since the discovery of the Rntgen rays, experiments have been made to ascertain the effects of the different constituents of glass on the transparency of glass to X-rays.
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  • The proportions in which these ingredients are mixed vary according to the exact quality of glass required and with the form and temperature of the melting furnace employed.
    0
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  • Finally, fluid steel can be run or poured off, since it is perfectly fluid, while glass cannot be thus treated, but is withdrawn from the furnace by means of either a ladle or a gatherer's pipe, and the temperature required for this purpose is much lower than.
    0
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  • For the production of coloured sheet-glass, however, the employment of pot furnaces is still almost universal, probably because the quantities of glass required of any one tint are insufficient to employ even a small tank furnace continuously; the exact control of the colour is also more readily attained with the smaller bulk of glass which has to be dealt with in pots.
    0
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  • The mechanical operation is quite successful for thick sheets, but it is not as yet available for the thinner sheets required for the ordinary purposes of sheet-glass, since with these excessive breakage occurs, while the sheets generally show grooves or lines derived from small irregularities of the drawing orifice.
    0
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  • Molten glass is spread upon a large iron plate of the required shape and dimensions.
    0
    0
  • In most modern works the greater part of these operations, as well as the actual rolling of the glass, is carried out by mechanical means, steam power and subsequently electrical power having been successfully applied to this purpose; the handling of the great weights of glass required for the largest sheets of plate-glass which are produced at the present time would, indeed, be impossible without the aid of machinery.
    0
    0
  • Since the surfaces produced by rolling have subsequently to be ground and polished, it is essential that the glass should leave the rolling-table with as smooth a surface as possible, so that great care is required in this part of the process.
    0
    0
  • A few strokes of such a rubber are sufficient to produce a decidedly " polished " appearance, but prolonged rubbing under considerable pressure and the use of a polishing paste of a proper consistency are required in order to remove the last trace of pitting from the surface.
    0
    0
  • The vessels, especially those in which many differently coloured glasses were incorporated, required prolonged annealing.
    0
    0
  • This large proportion of magnesia undoubtedly supplied the stability required to withstand the process of enamelling.
    0
    0
  • To make a really good mirror of glass two things are required - a plate free from bubbles and striae, and a method of applying a film of metal with a uniform bright surface free from defects.
    0
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  • These men told him that they had no offering to make to him except their lives; for pay they only required instruction in his religion; and they professed themselves ready to die in his service.
    0
    0
  • In a short time, besides men who required regular pay, hordes gathered round the guru who were satisfied with two meals a day and a suit of clothes every six months.
    0
    0
  • In 1745, owing to his knowledge of Gaelic, he was appointed deputy chaplain of the 43rd (afterwards the 42nd) regiment (the Black Watch), the licence to preach being granted him by special dispensation, although he had not completed the required six years of theological study.
    0
    0
  • In the earlier stages 30%, 50% and go% benzols were required, the 30% being mainly used for the manufacture of "aniline for red," and the 90% for "aniline for blue."
    0
    0
  • (The term " 30% benzol " means that 30% by volume distils below ioo°.) A purer benzol was subsequently required for the manufacture of aniline black and other dye-stuffs.
    0
    0
  • He remarked that the flow of water from an orifice depends not only on the magnitude of the orifice itself, but also on the height of the water in the reservoir; and that a pipe employed to carry off a portion of water from an aqueduct should, as circumstances required, have a position more or less inclined to the original direction of the current.
    0
    0
  • It is used to determine the density of a body experimentally; for if W is the weight of a body weighed in a balance in air (strictly in vacuo), and if W' is the weight required to balance when the body is suspended in water, then the upward thrust of the liquid (I) (2) "F r an Minim ' 'i n or weight of liquid displaced is W-W, so that the specific gravity (S.G.), defined as the ratio of the weight of a body to the weight of an equal volume of water, is W/(W-W').
    0
    0
  • The effective angular inertia of the body in the medium is now required; denote it by C 1 about the axis of the figure, and by C2 about a diameter of the mean section.
    0
    0
  • The body is held fixed, and the reactio of the mechanism and the resultant of the impulsive pressure on th surface are a measure of the impulse, linear,, , and angula A, µ, v, required to start the circulation.
    0
    0
  • 00 ab2dX °0 ab2dX (22) L (I JS)' (18) (t9) This impulse will remain of constant magnitude, and fixed relatively to the body, which thus experiences an additional reaction from the circulation which is the opposite of the force required to change the position in space of the circulation impulse; and these extra forces must be taken into account in the dynamical equations.
    0
    0
  • Under the second Assyrian empire, when Nineveh had become a great centre of trade, Aramaic - the language of commerce and diplomacy - was added to the number of subjects which the educated class was required to learn.
    0
    0
  • Since Apollos was a Christian and "taught exactly," he could hardly have been acquainted only with John's baptism or have required to be taught Christianity more thoroughly by Aquila and Priscilla.
    0
    0
  • It is found that in reducing the juice of these two qualities to syrup, fit to pass to the vacuum pans for cooking to crystals, the total amount of evaporation from the degraded j uice is about half that required from the normal juice produced by double crushing.
    0
    0
  • Thus clear liquor alone is run off, and the mud and cloudy liquor at the bottom of the tank are left undisturbed, and discharged separately as required.
    0
    0
  • Thus, supposing that moo lb of coal were required to work a single vacuum pan, evaporating, say, 6000 lb of water in a given time, then 500 lb of coal would be required for a double-effect apparatus to do the same work, 333 lb for a triple effect, 250 for a quadruple effect, and 200 lb for a quintuple effect.
    0
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  • Nevertheless, it has been found in practice, when syrups with low quotient of purity and high quotient of impurity are being treated, injecting the feed at a number of different points in the pan does reduce the time required to boil the pan, though of no practical advantage with syrups of high quotient of purity and free from the viscosity which impedes circulation and therefore quick boiling.
    0
    0
  • If a very large firm grain like sugar-candy is required the syrup when first brought into the pan must be of low density, say 20° to 21° Beaume, but if a smaller grain be wanted it can easily be obtained from syrup of 27° to 28° Beaume.
    0
    0
  • The claying system involved the expense of large curing houses and the employment of many hands, and forty days at least were required for completing the operation and making the sugar fit for the market, whereas with centrifugals sugar cooked to-day can go to market to-morrow, and the labour employed is reduced to a minimum.
    0
    0
  • The use of multiple-effect evaporation made it possible to raise the steam for all the work required to be done in a well-equipped factory, making crystals, under skilful management, by means of the bagasse alone proceeding from the.
    0
    0
  • With ordinary care on the part of the men in charge Hatton defecators will work continuously for several days and nights, and the number required to deal with a given volume of juice is half the number of ordinary defecators of equal capacity which would do the same work; for it must be borne in mind that an ordinary double-bottomed defecator takes two hours to deliver its charge and be in readiness to receive a fresh charge, i.e.
    0
    0
  • Apart from increased yield in sugar of good quality, we may sum up the advantages procurable from the use of Hatton defecators as follows: cold liming; heating gently to the temperature required to coagulate the albumen and not beyond it, whereby disturbance would ensue; the continuous separation of the scums; the gradual drying of the scums so as to make them ready for the fields, without carrying away juice or requiring treatment in filter presses; and the continuous supply of hot defecated juice to the evaporators, without the use of subsiding tanks or eliminators; and, finally, the saving in expenditure on plant, such as filter presses, &c., and wages.
    0
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  • But hydraulic presses have now been abandoned, for the juice is universally obtained by diffusion, and the small slicers have gone out of use, because the large amount of pulp they produced in proportion to slices is not suitable for the diffusion process, in which evenly cut slices are required, which present a much greater surface with far less resistance to the diffusion water.
    0
    0
  • The use of sulphurous acid gas is entirely abandoned, and instead of three carbonatations with corresponding labour and plant only one is required.
    0
    0
  • The pans are provided with steam worms to keep the mass hot as required, and with mechanical stirrers to keep it in movement and thoroughly mixed with the water and sweet water which are added to the sugar to obtain a solution of the specific gravity desired.
    0
    0
  • By this arrangement the work of a refinery can be carried on with about one-half the cisterns otherwise required, because, although it does not reduce the number of bags required per day for a given amount of work, it enables the refiner to use one cistern twice a day with fresh bags, instead of only once as heretofore.
    0
    0
  • By carefully watching the flow from the discharge cock of the cistern the change from the first liquor to the next is easily detected, and the discharge is diverted from the canal for the first liquor to the canal for the second liquor, and, when required, to the canals for the third and fourth liquors.
    0
    0
  • When the massecuite, well pugged and prepared for purging, is in the centrifugals, it is first washed with syrup of low density, to assist the separation of mother-liquor of similar quality, this washing being supplemented by the injection of pure syrup of high density, or " clairce," when very white sugar is required.
    0
    0
  • For a time after entry they multiply, obtaining the nitrogen necessary for their nutrition and growth from the free nitrogen of the air, the carbohydrate required being supplied by the pea or clover plant in whose tissues they make a home.
    0
    0
  • Officers, commonly called wardens in England, were elected by the members, and their chief function was to supervise the quality of the wares produced, so as to secure good and honest workmanship. Therefore, ordinances were made regulating the hours of labour and the terms of admission to the gild, including apprenticeship. Other ordinances required members to make periodical payments to a common fund, and to participate in certain common religious observances, festivities and pageants.
    0
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  • Great care is necessary to protect it from rain, and it must if necessary be placed in a barn in which fires may be required during wet weather.
    0
    0
  • Dark-coloured leaves are produced when the temperature is allowed to mount higher than when light leaves are required.
    0
    0
  • Two years are usually required for ageing, but some tobaccos are kept for four or five years before being manufactured.
    0
    0
  • Wind and hail may break plants or damage leaves, especially if required for wrapper purposes.
    0
    0
  • Too rapid drying of the outer tissue of the leaf leads to the formation of " white veins," which injure leaves required for wrapper purposes, otherwise it is not important.
    0
    0
  • The trees form their heads naturally, and therefore little pruning is required, it being merely necessary to cut off straggling growths, and to prevent the branches from interlacing.
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  • When hydraulic pressure to the amount of 2000 to 3000 lb per square inch is applied, the saving is unquestioned, since less time is required to dry the pressed retort, its life in the furnaces is longer, its absorption of zinc is less, and the loss of zinc by passage through its walls in the form of vapour is reduced.
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  • The primary advantages of gasfiring are that less fuel is required, that there is better control of the heat in the furnace, and that larger and more accessible furnaces can be built.
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  • Some brassfounders break from a single ingot the quantity of zinc required to produce the amount of brass they wish to compound in one crucible, but when perfect uniformity is desired the importance of remelting the zinc on a large scale cannot be too strongly emphasized.
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  • The shares, when made of the same material, required constant sharpening; this necessity was removed by the device, patented by Robert Ransome in 1803, of chilling and so hardening the under-surface of the share; the upper surface, which is soft, then wears away more quickly than the chilled part, whereby a sharp edge is always assured.
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  • Way about 1850, this precaution was not only superfluous but harmful, because the soil possesses a power of absorbing the soluble saline matters required by plants and of retaining them, in spite of rain, for assimilation by the roots.
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  • The gasida still required the long introduction (see above), which was entirely occupied with the affairs of the desert.
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  • When prolonged heating is required at very high temperatures it is found necessary to line the furnace-cavity with alternate layers of magnesia and carbon, taking care that the lamina next to the lime is of magnesia; if this were not done the lime in contact with the carbon crucible would form calcium carbide and would slag down, but magnesia does not yield a carbide in this way.
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  • But whereas, from its construction, the Siemens furnace was intermittent in operation, necessitating stoppage of the current while the contents of the crucible were poured out, many of the newer forms are specially designed either to minimize the time required in effecting the withdrawal of one charge and the introduction of the next, or to ensure absolute continuity of action, raw material being constantly charged in at the top and the finished substance and by-products (slag, &c.) withdrawn either continuously or at intervals, as sufficient quantity shall have accumulated.
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  • It was found in practice (in 1889) that the expenditure of energy per pound of reduced aluminium was about 23 H.P.-hours, a number considerably in excess of that required at the present time for the production of pure aluminium by the electrolytic process described in the article Aluminium.
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  • The governing body of the Hansa was the assembly of town representatives, the "Hansetage," held irregularly as occasion required at the summons of Lubeck, and, with few exceptions, attended but scantily.
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  • The Heruli remained heathen until the overthrow of their kingdom, and retained many striking primitive customs. When threatened with death by disease or old age, they were required to call in an executioner, who stabbed them on the pyre.
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  • If not, the action would not be exactly in the line adjoining the two bodies at the instant, but would be affected by the motion of the line joining them during the time required by the force to pass from one body to the other.
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  • But this proves nothing because, in the case of distances so great, centuries or even thousands of years of accurate observation will be required to show any action.
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  • The most plausible explanation of this is that one or more masses of matter move around the sun, whose action, whether they are inside or outside the orbit of Mercury, would produce the required modification in the force.
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  • The most obvious test of the reality of the required modifications would be afforded by two other bodies, the motions of whose pericentres should be similarly affected.
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  • The Africans were introduced as slaves soon after the conquest, because the coast Indians were physically incapable of performing the work required of them on the sugar estates.
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  • Local consumption required about 2500 tons in 1905.
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  • The regular force is maintained by annual drawings from the lists of young men 19 years of age in the first reserves, who are required to serve four years.
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  • In its simplest form the apparatus consists of a straight tube, made of glass, porcelain or iron according to the temperature required and the nature of the reacting substances, heated in an ordinary combustion furnace, the mixture entering at one end and the vapours being condensed at the other.
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  • Peter the Cruel, his nephew, reigned over Castile; and the murderers were given up as soon as required.
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