Tables sentence example

tables
  • There were three operating tables in the tent.
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  • Tables were covered with white linen table cloths and adorned with violet colored napkins inside light gray napkin holders.
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  • The tables were to be laden with all kinds of food.
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  • Small tables seating four were well spaced for privacy, with candles lighting each table and an assortment of flatware she'd never seen before.
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  • The brightly lit chamber was filled with tables and chairs.
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  • The cafeteria where she led him looked medieval at best, a stone hall with lines of crude picnic tables and dark hearths.
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  • This one has a whole list of junk, chairs, tables, clothes.
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  • Three men, at three sepa­rate tables, evidently on the road for business, were all dining alone.
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  • Taran followed his quick pace toward the door, watching as the advisors rose from their seats at the tables to join their master.
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  • The results are published in his Hydrographical Tables in a convenient form for use.
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  • Tables with designer shoes on them stood beside the truck.
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  • They were seated two tables away from Dean and appeared to be cele­brating something unusual in an otherwise Spartan life.
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  • There were three tables between the bar and the four booths that lined the far wall.
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  • Torches blazed, and rich food began to appear on long tables.
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  • Memon presided over all before him, at times as still as the statues lining the halls and at times barking orders for more wine or shouting at servants who placed food wrong on the tables.
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  • Most crowded around banquet tables still laden with foods from the night.
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  • Jabbing it at him, she turned the tables, threatening him until he lay flat on the floor.
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  • Now the tables were turned.
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  • Just that fast, he'd turned the tables on her once more.
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  • She followed the sounds of talking to discover the balcony was converted into a small buffet with café-style tables.
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  • Tables towards the wider, more general and more humane jus gentium.
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  • In the potential curves of the diagram the ordinates represent the hourly values expressed - as in Tables II.
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  • The work is a small-sized quarto, containing fiftyseven pages of explanatory matter and ninety pages of tables.
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  • The Madonna della Steccata (Our Lady of the Palisade), a fine church in the form of a Greek cross, erected between 1521 and 1539 after Zaccagni's designs, contains the tombs and monuments of many of the Bourbon and Farnese dukes of Parma, and preserves its pictures, Parmigiano's "Moses Breaking the Tables of the Law" and Anselmi's "Coronation of the Virgin."
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  • The average value of the principal articles of import and export (special trade) over quinquennial periods following 1890 is shown in the two tables below.
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  • The ancient town is chiefly celebrated for the famous Iguvine (less correctly Eugubine) Tables, which were discovered there in 1444, bought by the municipality in 1456, and are still preserved in the town hall.
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  • The first period is represented, not by any complete table, but by the old unmodernised forms of Tables III.
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  • It is necessary to notice, however, that although the general course of the stream of life is certain, there is not the same certainty as to the actual individual pedigrees of the existing forms. In the attempts to place existing creatures in approximately phylogenetic order, a striking change, due to a more logical consideration of the process of evolution, has become established and is already resolving many of the earlier difficulties and banishing from the more recent tables the numerous hypothetical intermediate forms so familiar in the older phylogenetic trees.
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  • It sublimes in small rhombic tables or needles, and is slightly soluble in cold water, the solution possessing an acid reaction.
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  • He also compiled astronomical tables and a treatise on the quadrant.
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  • In correcting the elements of Delambre's solar tables he had been led to suspect an inequality overlooked by their constructor.
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  • The investigation that brought about this result was probably the most laborious that had been made up to Airy's time in planetary theory, and represented the first specific improvement in the solar tables effected in England since the establishment of the theory of gravitation.
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  • His request was immediately granted, and thus it came about that Hansen's famous Tables de la Lune were dedicated to La Haute Amiraute de sa Majeste la Reine de la Grande Bretagne et d'Mande.
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  • While moving vehicles by capstans, turn tables, props, levers, &c...
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  • If h is the water heat at the lower temperature, h l the water heat at the higher temperature, and L the latent heat at the higher temperature, the heat supply per pound of steam is equal to h1 - h2+L1, which, from the steam tables, with the values of the temperatures given, is equal to 1013 B.Th.U.
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  • Though on her first landing Matilda only escaped capture through the misplaced chivalry of her opponent, she soon turned the tables upon him with the help of the Church and the barons of the west.
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  • Count Agenor de Gasparin, in his Tables tournantes (Paris, 1854), gives an account of what seem to have been careful experiments, though they are hardly described in sufficient detail to enable us to form an independent judgment.
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  • They convinced him that by some unknown force tables could be got to move without contact.
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  • It crystallizes in monoclinic tables which melt at 148-149° C. Chromic acid oxidizes it to pyrene quinone, C16H802, and pyrenic acid, C15H1806.
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  • Among the ancients it was in request for poles, rafters, joists, and for the construction of winepresses, tables and musical instruments; and on that account was so valuable that a plantation of cypresses was considered a sufficient dowry for a daughter.
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  • The O'Neills of Ulster: Their History and Genealogy, by Thomas Mathews (3 vols., Dublin, 1907), an ill-arranged and uncritical work, has little historical value, but contains a mass of traditional and legendary lore, and a number of translations of ancient poems, and genealogical tables of doubtful authority.
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  • Elyrus stood at the foot of the White Mountains, just 1 Among the features common to the two were the syssitia, public tables, at which all the citizens dined in common.
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  • At Vienna, from 1452, he was the pupil and associate of George Purbach (1423-1461), and they jointly undertook a reform of astronomy rendered necessary by the errors they detected in the Alphonsine Tables.
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  • Their finances were indeed excellent; they kept regular accounts, and had already developed the modern principle of separating the civil list from the expenses of the government; but when they brought the tables of moneychangers into the temple, they were doing as the Templars had done before them, and were likely to suffer as the Templars had suffered.
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  • In order to 'ascertain what modes of action are most conducive to the end in view, and what motives are best fitted to produce them, Bentham was led to construct marvellously exhaustive, though somewhat mechanical, tables of motives.
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  • With all their elaboration, these tables are, however, defective, as omitting some of the highest and most influential springs of action.
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  • Tables are constructed showing the fasted live weight, the carcase weight, and the weight of the various parts that are separated from and not included with the carcase.
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  • While furnishing - almost unconsciously, however - additional evidence for overthrowing that classification, there is, nevertheless, no attempt made to construct a better one; and the elaborate tables of dimensions, both absolute and proportional, suggestive as is the whole tendency of the author's observations, seem not to lead to any very practical result, though the systematist's need to look beneath the integument, even in parts that are so comparatively little hidden as birds' feet, is once more made beyond all question apparent.
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  • It is impossible to reproduce here Fiirbringer's elaborate details and phylogenetic trees with their various horizontal sections, but the following tables give the main outlines: Classis AvEs I.
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  • Another, Daniel Neal, in 1720, found Boston conversation " as polite as in most of the cities and towns in England, many of their merchants having the advantage of a free conversation with travellers; so that a gentleman from London would almost think himself at home at Boston, when he observes the number of people, their houses, their furniture, their tables, their dress and conversation, which perhaps is as splendid and showy as that of the most considerable tradesmen in London."
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  • The tables were turned; and fighting on their own soil for the recovery of what was to them too a holy place, the Mahommedans easily carried the day.
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  • It figured in astronomical tables until the time of Copernicus, but is now known to have no foundation in fact, being based on an error in Ptolemy's determination of precession.
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  • Of manumissio justa there were four modes: (I) by adoption, rarely resorted to; (2) by testament, already recognized in the Twelve Tables; (3) by census, which was of exceptional use, and did not exist later than the time of Vespasian; and (4) by vindicta, which was the usual form.
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  • The following tables show the total value of exports and imports arranged according to countries of origin or destination for1905-1906and 1908-1909; the same information for the year1905-1906with respect to the principal ports of the empire, and the tonnage of vessels cleared thereat during the year 1908-1909; and the value of the principal articles imported and exported for the year 1905-1906.
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  • The tables on p. 440 show the respective lengths of the various Ottoman railways open and worked at the end of 1908 and the amount of kilometric guarantees which they carried - and the lengths, &c., of railways worked by the various companies according to the nationality of the concessionaire groups.
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  • Little is known of him except that he belonged to a family of Yemen, was hold in repute as a grammarian in his own country, wrote much poetry, compiled astronomical tables, devoted most of his life to the study of the ancient history and geography of Arabia, and died in prison at San'a in 945.
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  • The results of Omars research werea revised edition of the Zif or astronomical tables, and the introduction of the Tarikh-i-Malikshahi or JalalI, that is, the so-called Jalalian or SeljUk era, which commences in A.H.
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  • The paper contains tables and curves showing details of the magnetic changes, sometimes very complex, at different temperatures and with different fields.
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  • The paper contains 40 tables and 85 figures.
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  • Other examples are shortly noticed in the tables on p. 505, which although by no means exhaustive, sufficiently indicate the scope and trend of arbitration during the years covered.
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  • The cases decided by the permanent tribunal at the Hague established in 1900 are not included in these tables.
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  • The chief agricultural products of Hungary are wheat, rye, barley, oats and maize, the acreage and produce of which are shown in the following tables: Seton -Watson, op. cit.
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  • The declared aim of the author 1 was to offer a complete solution of the great mechanical problem presented by the solar system, and to bring theory to coincide so closely with observation that empirical equations should no longer find a place in astronomical tables.
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  • It gives tables of sines and cosines, tangents, &c., for every to seconds, calculated to ten places.
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  • Stannous Fluoride, SnF 2, is obtained as small, white monoclinic tables by evaporating a solution of stannous oxide in hydrofluoric acid in a vacuum.
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  • Elias bar Shinaya, who in 1008 became Nestorian bishop of Nisibis, was the author of a valuable Chronicle, to which are prefixed numerous chronological tables, lists of popes, patriarchs, &c., and which covers by its narrative the period from A.D.
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  • The tables were now completely turned, and we hear of nothing but defeat and disaster for the besiegers till their final overthrow.
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  • The preceding tables show the estimated income and expenditure of the London County Council for 1909-1910.
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  • The fire of 1666 destroyed all the documents of the Parish Clerks Company, and in its hall in Silver Street only printed tables from about the year 1700 are to be found.
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  • Besides compiling numerous useful tables, he contributed largely to the Encyclopaedia Metropolitana.
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  • Their power extended to the Mediterranean, and we possess a large number of contemporaneous monuments in the shape of contracts and similar business documents, as well as chronological tables, which belong to their reigns.
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  • The stars had been numbered and named at an early date, and we possess tables of lunar longitudes and observations of the phases of Venus.
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  • The houses of the people contained but little furniture; chairs, tables and couches, however, were used, and Assur-bani-pal is represented as reclining on his couch at a meal while his wife sits on a chair beside him.
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  • The subjects depicted are processions of figures, human and divine (Yasili Kaya, Euyuk, Giaur Kalessi); scenes of sacrifice or adoration, or other cult-practice (Yasili Kaya, Euyuk, Fraktin, Ivriz, and perhaps the figures seated beside tables at Marash Sakchegeuzu, Sinjerli, &c.); of the chase (Arslan Tepe, Sakchegeuzu); but not, as known at present, of battle.
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  • They turned the tables on the pope by engaging Hawkwood, and although the Bretons by order of Cardinal Robert of Geneva (afterwards the anti-pope Clement VII.) committed frightful atrocities in Romagna, their captains were bribed by the republic not to molest its territory.
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  • These Paschal tables were thin books in which each annual date was separated from the next by a more or less considerable blank space.
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  • The shrines, altars and oblatory tables are placed at the back in the centre, and there are often other secondary shrines at the sides.
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  • After his Tables of the Products and Powers of Numbers, 1781, and his Mathematical Tables, 1785, he issued, for the use of the Royal Military Academy, in 1787 Elements of Conic Sections, and in 1798 his Course of Mathematics.
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  • The germs of an indigenous literature had existed at an early period in Rome and in the country districts of Italy, and they have an importance as indicating natural wants in the Italian race, which were ultimately satisfied by regular literary forms. The art of writing was first employed in the service of the state and of religion for books of ritual, treaties with other states, the laws of the Twelve Tables and the like.
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  • The quantity of alcohol present in an aqueous solution is determined by a comparison of its specific gravity with standard tables, or directly by the use of an alcoholometer, which is a hydrometer graduated so as to read per cents by weight (degrees according to Richter) or volume per cents (degrees according to Tralles).
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  • Thomson (Lord Kelvin) from Regnault's tables of the properties of steam, assuming the gaseous laws, did not vary exactly as J/T.
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  • Light-yellow monoclinic needles of 2KAuC1 4 H 2 O are deposited from warm, strongly acid solutions, and transparent rhombic tables of KAuCl 4.2H 2 O from neutral solutions.
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  • Aurous cyanide, AuCN, forms yellow, microscopic, hexagonal tables, insoluble in water, and is obtained by the addition of hydrochloric acid to a solution of potassium aurocyanide, KAu(CN)2.
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  • The tables in front are laid at an incline of about 8° and are about 13 ft.
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  • The stuff from the stamps is conveyed to the middle of the muller, and is distributed over the mercury, when the gold subsides, while the quartz and lighter materials are guided by the blades to the circumference and are discharged, usually into a second similar mill, and subsequently pass over blanket tables, i.e.
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  • The numerous niches, generally containing sacrificial (?) tables, 2 are often approached by window-like openings hewn out of one of the flat slabs by which they are enclosed.
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  • In the Roman religion, on a feast of thanksgiving for a great victory, couches were spread in the temples for the gods, whose images were taken down from their pedestals and laid on the couches, and tables set before them loaded with delicate viands.
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  • At Bordeaux his Universal Tables on Dialling were constructed; and in London he was admitted to the meetings of Robert Boyle, Robert Hooke and other learned and scientific men.
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  • Pt = Po(' +0 00367t) and can thus be reduced to its value at o° C. Sigurd Stenius has calculated tables of osmotic pressure for sea-water of different degrees of concentration.
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  • The relation of the elevation of the boiling-point (t°) to the osmotic pressure (P) is very simply derived from the formula t=o 02407P 0, while the reduction of vapour pressure proportional to the concentration can be very easily obtained from the elevation of the boiling-point, or it may be obtained directly from tables of vapour tension.
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  • He engraved privately about 1785 at enormous expense Botanical Tables containing the Different Familys of British Plants, while The Tabular Distribution of British Plants (1787) is also attributed to him.
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  • Tables, knives, forks and other prandial apparatus were as lacking as they were in the palaces of kings a few centuries before.
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  • Zirconium fluoride, ZrF4, is obtained as glittering monoclinic tables (with 3H 2 0) by heating zirconia with acid ammonium fluoride.
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  • In addition to these, there is a volume of tables, edited by the abbe Rigollot.
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  • With the tables of the sun's declination then available, he could calculate his latitude by meridian altitudes of the sun taken with his astrolabe.
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  • The operations were improved and facilitated by means of an interstatal conference held before the census of 1891, at which a standard schedule was adopted and a series of general tables agreed upon, to be supplemented in greater detail according to the requirements of each state.
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  • The law under which the census of 1840 was taken contained a novel provision for the preparation in connexion with the census of statistical tables giving "such information in relation to mines, agriculture, commerce, manufactures and schools as will exhibit a full view of the pursuits, industry, education and resources of the country."
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  • In the regions where census tables and interpretations are derived from registration records kept by the several states or cities they are often made more complete than those in the state or municipal documents.
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  • The treatment of an angle as generated by rotation, the investigation of the relations between trigonometrical ratios and circular measure, the application of interpolation to trigonometrical tables, and the general use of graphical methods to represent continuous variation, all imply an analytical onlook, and must therefore be deferred to this stage.
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  • The length of the arc of a circle, for instance, is known if the length of the chord and its distance from the middle point of the arc are known; but it may be more convenient in such a case to use a formula such as Huygens's rule than to obtain a more accurate result by means of trigonometrical tables.
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  • Calculations involving feet and inches are sometimes performed by means of duodecimal arithmetic; i.e., in effect, the tables of square measure and of cubic measure are amplified by the insertion of intermediate units.
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  • The formulae may be used for extending the accuracy of tables, in cases where, if v represents the quantity tabulated, hdv/dx or h 2 d 2 v /dx 2 can be conveniently expressed in terms of v and x to a greater degree of accuracy than it could be found from the table.
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  • The use of quadrature-formulae is important in actuarial work, where the fundamental tables are based on experience, and the formulae applying these tables involve the use of the tabulated values and their differences.
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  • A full account of the work of the Mint, with valuable tables giving the amount of the coinage of gold and silver and bronze in the United Kingdom and the colonies in detail, and a résumé of the coinages of foreign countries, will be found in the Annual Reports of the Deputy Master and Comptroller of the Mint, which have been published since 1870.
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  • The Nuovo Prospetto delle scienze economiche (1815-1817), although long to excess, and overburdened with classifications and tables, contains much valuable material.
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  • From her universal accomplishments she was called the "Silesian Pallas," and the publication of her work, Urania propitia (Oels, 1650), a simplification of the Rudolphine Tables, gained her a European reputation.
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  • To compare this with the previous table, tp _ (A+B)/A = r +P. Except when the limiting stresses are of opposite sign, the two tables agree very well.
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  • Waddell has calculated tables of such equivalent uniform loads.
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  • The statistical work includes compiling abstracts, memoranda, tables and charts relating to the trade and industrial conditions of the United Kingdom, the colonies and foreign countries, the supervision of the trade accounts, the preparation of monthly and annual accounts of shipping and navigation, statistics as to labour, cotton, emigration and foreign and colonial customs, tariffs and regulations.
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  • His largest work is called Shelah (abbreviated from the initials of the full title Shene luhoth ha-berit, " Two Tables of the Covenant").
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  • The laborious enterprise of drawing up the famous Tables du Cadastre was entrusted to his direction in 1792, and in 1794 he was appointed professor of the mathematical sciences at the Ecole Polytechnique, becoming director at the Ecole des Ponts et Chaussees four years later.
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  • Here Delambre observed and computed almost uninterruptedly, and in 17 9 0 obtained for his Tables of Uranus the prize offered by the academy of sciences, of which body he was elected a member two years later.
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  • Lalande's Astronomie (1792), and republished in an improved form by the bureau of longitudes in 1817; Methodes analytiques pour la determination d'un arc du meridien (1799); Tables du soleil (publiees par le bureau des longitudes) (1806); Rapport historique sur les progres des sciences mathematiques depuis l'an 1789 (181o); A brege d'astronomie (1813); Astronomic theorique et pratique (1814); &c.
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  • The third volume (1816) contains the very elaborate and now well-known tables of the elliptic integrals which were calculated by Legendre himself, with an account of the mode of their construction.
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  • In 1827 appeared the Traite des fonctions elliptiques (2 vols., the first dated 1825, the second 1826); a great part of the first volume agrees very closely with the contents of the Exercices; the tables, &c., are given in the second volume.
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  • Slabs are also manufactured, and, being readily cut, planed, dressed and enamelled, are used for chimney pieces, billiard tables, wall linings, cisterns, paving, tomb-stones, ridge rolls, electrical switch-boards and various other architectural and industrial purposes.
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  • In the calculation of range tables for direct fire, defined officially as " fire from guns with full charge at elevation not exceeding 15°," the vertical component of the resistance of the FIG.
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  • The results for and 0, as calculated for the range tables above, are also given there for comparison.
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  • He discussed their properties and constructed tables for their evaluation.
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  • For the mathematical investigation see Spherical Harmonics and for tables see Table, Mathematical.
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  • Dr Lewis Mott has pointed out that "Round Tables" exist in many parts of Great Britain, the name being often associated with circular trenches, or rings of stones, which were demonstrably employed in connexion with the agricultural festivals held at Pentecost, Midsummer and Michaelmas.
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  • It appears to be desirable, as the Committee of Council on Education have done, to recognize only the legal systems of weights and measures -- the imperial and metric. The Education Code of Regulations for 1900 prescribes that the tables of weights and measures to be learned include those only which are in ordinary use, viz.
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  • For the purpose of thus simplifying the operations of arithmetic, the base is taken to be Io, and use is made of tables of logarithms in which the values of x, the logarithm, corresponding to values of m, the number, are tabulated.
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  • It should be mentioned that in most tables of trigonometrical functions, the number io is added to all the logarithms in the table in order to avoid the use of negative characteristics, so that the characteristic 9 denotes in reality 1, 8 denotes a, io denotes o, &c. Logarithms thus increased are frequently referred to for the sake of distinction as tabular logarithms, so that the tabular logarithm =the true logarithm -IIo.
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  • In tables of logarithms of numbers to base io the mantissa only is in general tabulated, as the characteristic of the logarithm of a number can always be written down at sight, the rule being that, if the number is greater than unity, the characteristic is less by unity than the number of digits in the integral portion of it, and that if the number is less than unity the characteristic is negative, and is greater by unity than the number of ciphers between the decimal point and the first significant figure.
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  • The two systems of logarithms for which extensive tables have been calculated are the Napierian, or hyperbolic, or natural system, of which the base is e, and the Briggian, or decimal, or common system, of which the base is io; and we see that the logarithms in the latter system may be deduced from those in the former by multiplication by the constant multiplier /loge io, which is called the modulus of the common system of logarithms.
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  • The invention of logarithms has been accorded to John Napier, baron of Merchiston in Scotland, with a unanimity which is rare with regard to important scientific discoveries: in fact, with the exception 01 the tables of Justus Byrgius, which will be referred to further on, there seems to have been no other mathematician of the time whose mind had conceived the principle on which logarithms depend, and no partial anticipations of the discovery are met with in previous writers.
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  • The former translated the work into English; the latter was concerned with Napier in the change of the logarithms from those originally invented to decimal or common logarithms, and it is to him that the original calculation of the logarithmic tables now in use is mainly due.
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  • The date of publication is, however, fixed as 1617 by a letter from Sir Henry Bourchier to Usher, dated December 6, 1617, containing the passage- " Our kind friend, Mr Briggs, hath lately published a supplement to the most excellent tables of logarithms, which I presume he has sent to you."
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  • Vlacq's table is that from which all the hundreds of tables of logarithms that have subsequently appeared have been derived.
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  • In the preceding paragraphs an account has been given of the actual announcement of the invention of logarithms and of the calculation of the tables.
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  • When they conversed about the change of system, Napier said that he had perceived and desired the same thing, but that he had published the tables which he had already prepared, so that they might be used until he could construct others more convenient.
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  • Rejecting therefore, those which he had prepared already, Briggs began, at Napier's advice, to consider seriously the question of the calculation of new tables.
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  • It has been thought necessary to give in detail the facts relating to the conversion of the logarithms, as unfortunately Charles Hutton in his history of logarithms, which was prefixed to the early editions of his Mathematical Tables, and was also published as one of his Mathematical Tracts, has charged Napier with want of candour in not telling the world of Briggs's share in the change of system, and he expresses the suspicion that " Napier was desirous that the world should ascribe to him alone the merit of this very useful improvement of the logarithms."
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  • There seems, however, no ground whatever for supposing that Briggs meant to express anything beyond his hope that the reason for the alteration would be explained in the posthumous work; and in his own account, written seven years after Napier's death and five years after the appearance of the work itself, he shows no injured feeling whatever, but even goes out of his way to explain that he abandoned his own proposed alteration in favour of Napier's, and, rejecting the tables he had already constructed, began to consider the calculation of new ones.
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  • The power of io, which occurs as a factor in the tables of both Napier and Byrgius, was rendered necessary by the fact that the decimal point was not yet in use.
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  • An account has now been given of Napier's invention and its publication, the transition to decimal logarithms, the calculation of the tables by Briggs, Vlacq and Gunter, as well as of the claims of Byrgius and the method of prosthaphaeresis.
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  • This erroneous estimate was formed when he had seen the Descriptio but had not read it; and his opinion was very different when he became acquainted with the nature of logarithms. The dedication of his Ephemeris for 1620 consists of a letter to Napier dated the 28th of July 1619, and he there congratulates him warmly on his invention and on the benefit he has conferred upon astronomy generally and upon Kepler's own Rudolphine tables.
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  • The invention of logarithms and the calculation of the earlier tables form a very striking episode in the history of exact science, and, with the exception of the Principia of Newton, there is no mathematical work published in the country which has produced such important consequences, or to which so much interest attaches as to Napier's Descriptio.
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  • The calculation of tables of the natural trigonometrical functions may be said to have formed the work of the last half of the 16th century, and the great canon of natural sines for every 10 seconds to 15 places which had been calculated by Rheticus was published by Pitiscus only in 1613, the year before that in which the Descriptio appeared.
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  • In the construction of the natural trigonometrical tables Great Britain had taken no part, and it is remarkable that the discovery of the principles and the formation of the tables that were to revolutionize or supersede all the methods of calculation then in use should have been so rapidly effected and developed in a country in which so little attention had been previously devoted to such questions.
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  • For more detailed information relating to Napier, Briggs and Vlacq, and the invention of logarithms, the reader is referred to the life of Briggs in Ward's Lives of the Professors of Gresham College (London, 1740); Thomas Smith's Vitae quorundam eruditissimorum et illustrium virorum (Vita Henrici Briggii) (London, 1707); Mark Napier's Memoirs of John Napier already referred to, and the same author's Naperi libri qui supersunt (1839); Hutton's History; de Morgan's article already referred to; Delambre's Histoire de l'Astronomie moderne; the report on mathematical tables in the Report of the British Association for 1873; and the Philosophical Magazine for October and December 1872 and May 1873.
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  • It now remains to notice briefly a few of the more important events in the history of logarithmic tables subsequent to the original calculations.
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  • There is thus an advance half way towards the arrangement now universal in seven-figure tables.
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  • In 1705 appeared the original edition of Sherwin's tables, the first of the series of ordinary seven-figure tables of logarithms of numbers and trigonometrical functions such as are in general use now.
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  • The work went through several editions during the 18th century, and was at length superseded in 1785 by Hutton's tables, which continued in successive editions to maintain their position for a century.
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  • In 1783 appeared at Paris the first edition of Francois Callet's tables, which correspond to those of Hutton in England.
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  • These tables, which form perhaps the most complete and practically useful collection of logarithms for the general computer that has been published, passed through many editions.
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  • The tables in this work may be regarded as to some extent supplementary to those in Callet.
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  • Hutton founded on Sherwin and Callet on Gardiner, and the editions of Vega form a separate offshoot from the original tables.
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  • Among the most useful and accessible of modern ordinary sevenfigure tables of logarithms of numbers and trigonometrical functions may be mentioned those of Bremiker, Schriin and Bruhns.
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  • The only other logarithmic canon to every second that has been published forms the second volume of Shortrede's Logarithmic Tables (1849).
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  • In 1784 the French government decided that new tables of sines, tangents, &c., and their logarithms, should be calculated in relation to the centesimal division of the quadrant.
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  • Prony was charged with the direction of the work, and was expressly required " non seulement a composer des tables qui ne laissassent rien a desirer quant a l'exactitude, mais a en faire le monument de calcul le plus vaste et le plus imposant qui eut jamais ete execute ou meme congu."
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  • The tables were all calculated to 14 places, with the intention that only 12 should be published, but the twelfth figure is not to be relied upon.
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  • The tables have never been published, and are generally known as the Tables du Cadastre, or, in England, as the great French manuscript tables.
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  • A very full account of these tables, with an explanation of the methods of calculation, formulae employed, &c., was published by Lefort in vol.
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  • Babbage compared his table with the Tables du Cadastre, and Lefort has given in his paper just referred to most important lists of errors in Vlacq's and Briggs's logarithms of numbers which were obtained by comparing the manuscript tables with those contained in the Arithmetica logarithmica of 1624 and of 1628.
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  • As the Tables du Cadastre remained unpublished, other tables appeared in which the quadrant was divided centesimally, the most important of these being Hobert and Ideler's Nouvelles tables trigonometriques (1799), and Borda and Delambre's Tables trigonometriques decimates (1800-1801), both of which are seven-figure tables.
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  • The latter work, which was much used, being difficult to procure, and greater accuracy being required, the French government in 1891 published an eight-figure centesimal table, for every ten seconds, derived from the Tables du Cadastre.
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  • Decimal or Briggian Antilogarithms. - In the ordinary tables of logarithms the natural numbers are all integers, while the logarithms tabulated are incommensurable.
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  • Antilogarithmic tables are few in number, the only other extensive tables of the same kind that have been published occurring in Shortrede's Logarithmic tables already referred to, and in Filipowski's Table of antilogarithms (1849).
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  • Both are similar to Dodson's tables, from which they were derived, but they only give numbers to 7 places.
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  • Such tables can scarcely be said to come under the head of logarithmic tables.
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  • See Tables, Mathematical: Exponential Functions.
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  • In most collections of tables of logarithms, and especially those intended for use in connexion with navigation, there occurs a small table of logistic logarithms in which a = 3600"(= I° or I h), the table giving log 3600 log x, and x being expressed in minutes and seconds.
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  • It is also common to find tables in which a= 10800"(=3° or 3 h),and x is expressed in degrees (or hours), minutes and seconds.
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  • Such tables are generally given to 4 or 5 places.
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  • For fuller details with respect to some of these works, for an account of tables published in the latter part of the 19th century, and for those which would now be used in actual calculation, reference should be made to the article Tables, Mathematical.
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  • These methods apply, however, specially to Napier's own kind of logarithms, and are different from those actually used by Briggs in the construction of the tables in the Arithmetica Logarithmica, although some of the latter are the same in principle as the processes described in an appendix to the Constructio.
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  • Briggs also gave methods of forming the mean proportionals or square roots by differences; and the general method of constructing logarithmic tables by means of differences is due to him.
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  • By means of these tables and of a factor table we may very readily obtain the Briggian logarithm of a number to 61 or a less number of places or of its hyperbolic logarithm to 48 or a less number of places in the following manner.
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  • The principle of the method is to multiply the given prime (supposed to consist of 4, 5 or 6 figures) by such a factor that the product may be a number within the range of the factor tables, and such that, when it is increased by I or 2, the prime factors may all be within the range of the logarithmic tables.
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  • The best general method of calculating logarithms consists, in its simplest form, in resolving the number whose logarithm is required into factors of the form I - i r n, where n is one of the nine digits, and making use of subsidiary tables of logarithms of factors of this form.
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  • This was published in 1876 under the title Tables for the formation of logarithms and antilogarithms to twenty-four or any less number of places, and contains the most complete and useful application of the method, with many improvements in points of detail.
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  • It was first formally proposed as an independent method, with great improvements, by Robert Flower in The Radix, a new way of making Logarithms, which was published in 1771; and Leonelli, in his Supplement logarithmique (1802-1803), already noticed, referred to Flower and reproduced some of his tables.
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  • These squabbles John Groot is said to have settled by building an octagonal house which had eight entrances and eight tables, so that the head of each family could enter by his own door and sit at the head of his own table.
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  • This last conception lay beyond the horizon of Caesar, as of all ancient statesmen, but his first act on gaining control of Italy was to enfranchise the Transpadanes, whose claims he had consistently advocated, and in 45 B.C. he passed the Lex Julia Municipalis, an act of which considerable fragments are inscribed on two bronze tables found at Heraclea near Tarentum.3 This law deals inter alia with the police and the sanitary arrangements of the city of Rome, and hence it has been argued by Mommsen that it was Caesar's intention to reduce Rome to the level of a municipal town.
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  • Kepler's whole attention was now devoted to the production of the new tables.
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  • Appended were tables of logarithms and of refraction, together with Tycho's catalogue of 777 stars, enlarged by Kepler to 1005.
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  • This assembly seems to have been already in existence at the epoch of the Twelve Tables in 451 B.C., its electoral activity is perhaps attested in 447 B.C., and it appears as a legislative body in 357 B.C.
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  • He now set himself to the revision of the Rudolphine Tables (published by Kepler in 1627), and in the progress of his task became convinced that a transit of Venus overlooked by Kepler would nevertheless occur on the 24th of November (O.S.) 1639.
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  • To the second century, lastly, belongs in part the evidence of the catacombs, on the walls of which are depicted persons reclining at tables supporting a fish, accompanied by one or more baskets of loaves, and more rarely by flasks of wine or water.
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  • Thus in 1871 he was led by certain gaps in his tables to assert the existence of three new elements so far unknown to the chemist, and to assign them definite properties.
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  • The total oatput of gold and silver in the United States according to the tables published by the Director of the Mint has been as follows :
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  • The immense refectory, of the same cruciform shape as that of St Laura, will accommodate 500 guests at its 24 marble tables.
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  • But Supposing The Instant Of The Sun'S Entering Into The Sign Libra To Be Very Near Midnight, The Small Errors Of The Solar Tables Might Render It Doubtful To Which Day The Equinox Really Belonged; And It Would Be In Vain To Have Recourse To Observation To Obviate The Difficulty.
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  • The Mean Motion Of The Moon In Longitude, From The Mean Equinox, During A Julian Year Of 365.25 Days (According To Hansen'S Tables De La Lune, London, 1857, Pages 15, 16) Is, At The Present Date, 13X360° 477644"'409; That Of The Sun Being 360° 27".
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  • As An Example Of The Use Of The Preceding Tables, Suppose It Were Required To Determine The Moon'S Age On The Loth Of April 183 2.
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  • Hence We Derive The Following Rule For Finding Easter Sunday From The Tables: 1St, Find The Golden Number, And, From Table Iii., The Epact Of The Proposed Year.
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  • Its principal, though perhaps least obvious advantage, consists in its being entirely independent of astronomical tables, or indeed of any celestial phenomena whatever; so that all chances of disagreement arising from the inevitable errors of tables, or the uncertainty of observation, are avoided, and Easter determined without the possibility of mistake.
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  • We Will Now Show In What Manner This Whole Apparatus Of Methods And Tables May Be Dispensed With, And The Gregorian Calendar Reduced To A Few Simple Formulae Of Easy Computation.
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  • By Means Of The Formulae Which We Have Now Given For The Dominical Letter, The Golden Number And The Epact, Easter Sunday May Be Computed For Any Year After The Reformation, Without The Assistance Of Any Tables Whatever.
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  • Instead, However, Of Employing The Golden Numbers And Epacts For The Determination Of Easter And The Movable Feasts, It Was Resolved That The Equinox And The Paschal Moon Should Be Found By Astronomical Computation From The Rudolphine Tables.
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  • The Tables, Page 571, Show That 8Th January 1943 Is A Friday, Therefore The Date Is Exact.
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  • All The Tables Of This Kind Previously Published, Which Extend Beyond The Year 1900 Of The Christian Era, Are Erroneous, Not Excepting The Celebrated French Work, L'Art De Verifier Les Dates, So Justly Regarded As The Greatest Authority In Chronological Matters.
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  • In 1755 he submitted to the English government an amended body of MS. tables, which James Bradley compared with the Greenwich observations, and found to be sufficiently accurate to determine the moon's place to 75", and consequently the longitude at sea to about half a degree.
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  • An improved set was afterwards published in London (1770), as also the theory (Theoria lunae juxta systema Newtonianum, 1767) upon which the tables are based.
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  • Appended to the London edition of the solar and lunar tables are two short tracts - the one on determining longitude by lunar distances, together with a description of the repeating circle (invented by Mayer in 1752), the other on a formula for atmospheric refraction, which applies a remarkably accurate correction for temperature.
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  • The latter are based upon the tables of Charles Gilpin, clerk to the Royal Society, for which the reader is referred to the Phil.
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  • The merit of Sikes's system lies not so much in the hydrometer as in the complete system of tables by which the readings of the instrument are at once converted into percentage of proof-spirit.
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  • While the tables indicate the fluctuations of supply they show generally that Asiatic countries, in addition to supplying the necessities for their home trade, export to Europe and America about threefifths of the whole of the silk consumed in Western manufactures.
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  • But orders were given soon after that the altars should be destroyed, and replaced by movable wooden tables; while from the revised Prayer-book of 1552 the word "altar" was carefully expunged, " God's board " or " the table " being substituted.
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  • In the same canons the rule for the position of the communion tables, which has been since regularly followed throughout the Church of England, was formulated.
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  • When tables were substituted for altars in the English churches, these were not merely movable, but at the administration of the Lord's Supper were actually moved into the body of the church, and placed table-wise - that is, with the long sides turned to the north and south, and the narrow ends to the east and west, - the officiating clergyman standing at the north side.
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  • A variety of small "occasional" tables are now called in French gueridons.
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  • The work of translating the law of gravitation into the form of astronomical tables, and the comparison of these with observations, has been in progress ever since.
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  • The only fruit of all this unwearied industry that has survived to our own times is the Naturalis historia, a work which in its present form consists of thirty-seven books, the first book including a characteristic preface and tables of contents, as well as lists of authorities, which were originally prefixed to each of the books separately.
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  • He assisted in clearing the hall for dancing or minstrelsy, and laid the tables for chess or draughts, and he also shared in the pastimes for which he had made preparation.
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  • The point separating the integers from the decimal fractions seems to be the invention of Bartholomaeus Pitiscus, in whose trigonometrical tables (1612) it occurs and it was accepted by John Napier in his logarithmic papers (1614 and 1619).
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  • Before beginning to plant, it would be well to construct tables or lists of the plants, specifying their respective times of flowering, colours and heights.
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  • The concentrates are then passed over sloping tables (pulsator) and shaken to and fro under a stream of water which effects a second concentration of the heaviest material.
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  • This remarkable debut excited much attention, and, on the recommendation of Francois Arago, he took in hand the theory of Mercury, producing, in 1843, vastly improved tables of that planet.
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  • This was nothing less than the complete revision of the planetary theories, followed by a laborious comparison of results with the most authentic observations, and the construction of tables representing the movements thus corrected.
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  • His planetary and solar tables were adopted by the Nautical Almanac, as well as by the Connaissance des temps.
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  • Even to the end of his life, and even at the tables of the great, the sight of food affected him as it affects wild beasts and birds of prey.
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  • On the foundation, however, of the German customs union, or Zoilverein, between certain German states, the necessity for accurate statistics became apparent and care was taken to compile trustworthy tables, Researches show the population of the German empire, as at present constituted, to have been:
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  • The quantities of such imported articles as are liable to duty have, indeed, been known for many years; and in 1872 official tables were compiled showing the value both of imports and of exports.
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  • But when the results of these tables proved the importation to be very much greater than the exportation, the conviction arose that the valuation of thc exports was erroneous and below the reality.
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  • The following tables give the value of trade between the United Kingdom and Germany in 1900 and 1905 :
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  • The following tables gives in thousands sterling the joint budget for t he years 1875-1905:—
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  • The foreign trade of the Austro-Hungarian monarchy is shown in the following table: The following tables give the foreign trade of the Austro-Hungarian monarchy as regards raw material and manufactured goods: Imports.
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  • These added two more to the ten laws of their predecessors, thus completing the Laws of the Twelve Tables (see Roman Law).
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  • The same year he printed privately The Tables of the Law and the Adoration of the Magi, afterwards published in a volume of Mr Elkin Mathews's "Vigo Street Cabinet" in 1904.
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  • Miscellaneous problems (and tables) such as are met with in bread-making, beer-making, food of live-stock, &c. &c.
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  • On the different days of the year each hour was determined by a fixed star culminating or nearly culminating in it, and the position of these stars at the time is given in the tables as in the centre, on the left eye, on the right shoulder, &c. According to the texts, in founding or rebuilding temples the north axis was determined by the same apparatus, and we may condude that it was the usual one for astronomical observations.
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  • As will be seen from the tables, it was the practice of the Porte to change the governor of Egypt at very short intervalsaftet a year or even some months.
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  • As it stands, however, this chapter represents the legislation which it contains as a renewal of a former covenant, also written on tables of stone, which had been broken (ib, 4a).
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  • Originally the latter part of the verse must have run, "That I may give thee the tables of stone which I have written, and may teach thee the law and the commandment."
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  • At the instigation of the people Aaron makes a molten calf out of the golden ornaments brought from Egypt; Moses and Joshua, on their return to the camp, find the people holding festival in honour of the occasion; Moses in his anger breaks the tables of the covenant which he is carrying: he then demolishes the golden calf, and administers a severe rebuke to Aaron.
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  • The prepared land is partitioned off into large basins (adernes or muants) and others (called in France aires, ceuillets or tables salantes) which get smaller and more shallow in proportion as they are intended to receive the water as it becomes more and more concentrated, just sufficient fall being allowed from one set of basins to the other to cause the water to flow slowly through them.
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  • How were the ten words disposed on the two tables ?
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  • And so the promise attached to the fifth commandment was probably not on the tables, and the tenth commandment may have simply been, "Thou shalt not covet thy neighbour's house," which includes all that is expressed in the following clauses.
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  • In the book of Exodus the words written on the tables of stone are nowhere expressly identified with the ten commandments of chap. xx.
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  • To those accustomed to look on the Ten Words written on the tables of stone as the very foundation of the Mosaic law, it is hard to realize that in ancient Israel there were two opinions as to what these "Words" were.
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  • Fluoranthene crystallizes in large slender needles or monoclinic tables, melting at 109-110° C. and boiling at 250-251° C. (60 mm.).
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  • In November were formed " The Tables," a standing revolutionary committee of all Estates.
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  • They sat at long tables, the elders read the words of institution and prayed, and passed a loaf round from which each broke off a bit and ate, the wine being handed round in flagons.
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  • On the 14th of August 1789 the Constituent Assembly made Camus its archivist, and in that capacity he organized the national archives, classified the papers of the different assemblies of the Revolution and drew up analytical tables of the procesverbaux.
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  • In applying tests of memory, it may be legitimate to allow a candidate to pass who answers correctly from 30 to 50% of the questions; such an allowance if applied to a test of capacity, such as the performance of a sum in addition, the solution of triangles by means of trigonometrical tables, or the translation of an easy passage from a foreign language, appears to be irrational.
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  • Of his numerous other works the most important was the reconstruction of the twelve tables of early Roman law.
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  • He loved gardening, experimented enthusiastically in varieties and rotations of crops and kept meteorological tables with diligence.
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  • His detection of considerable errors in the tables then in use led him to the conclusion that a more accurate ascertainment of the places of the fixed stars was indispensable to the progress of astronomy; and, finding that Flamsteed and Hevelius had already undertaken to catalogue those visible in northern latitudes, he assumed to himself the task of making observations in the southern hemisphere.
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  • Dyson and Thackeray's tables show the same result for the Groombridge stars down to magnitude 6.5; but the fainter stars (with centennial proper motions greater than 5") show a marked tendency to draw towards the galactic circle.
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  • In this were found large numbers of inscribed clay tablets (it is estimated that upward of 40,000 tablets and fragments have been excavated in this mound alone), dating from the middle of the 3rd millennium B.C. onward into the Persian period, partly temple archives, partly school exercises and text-books, partly mathematical tables, with a considerable number of documents of a more distinctly literary character.
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  • Thorium nitrate, Th(NO 3) 4.12H 2 O, forms white deliquescent tables very soluble in water.
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  • Dr Warton, in his observations upon Pope's line, "Unthought-of frailties cheat us in the wise," says, "Who could imagine that Locke was fond of romances; that Newton once studied astrology; that Dr Clarke valued himself on his agility, and frequently amused himself in a private room of his house in leaping over the tables and chairs ?"
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  • The ministration to memory, aided by registering and arranging the data, of observation and experiment in tables of instances of agreement, difference and concomitant variations.
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  • Bacon's method begins with a digest into three tables of the facts relevant to any inquiry.
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  • In virtue of the remaining tables it rejects any suggestion qualitatively or quantitatively inadequate.
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  • An appeal, however, to such devices, though a permissible " first vintage " is relatively an imperfection of method, and a proof that the tables need revision.
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  • The formula which he gave for the total heat H of steam at any temperature t° C., which has since been universally accepted and has formed the basis of all tables of the properties of steam, was as follows: H 606.5 +0.305t..
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  • Although it is not possible to represent the properties of steam in this manner up to the critical temperature, the above method appears more satisfactory than the adoption of the inconsistent and purely empirical formulae which form the basis of most tables at the present time.
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  • An immense mass of material has been collected on the subject of vapour-pressures and densities, the greater part of which will be found in Winkelmann's Handbook, in Landolt's and Bornstein's Tables, and in similar compendiums. The results vary greatly in accuracy, and are frequently vitiated by errors of temperature measurement, by chemical impurities and surface condensation, or by peculiarities of the empirical formulae employed in smoothing the observations; but it would not be within the scope of the present article to discuss these details.
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  • It should be added that the proper names in the inscriptions show the regular Italic system of gentile nomen preceded by a personal praenomen; and that some inscriptions show the interesting feature which appears in the Tables of Heraclea of a crest or coat of arms, such as a triangle or an anchor, peculiar to particular families.
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  • Soon afterwards he was elected consul with Pompey, and (70) displayed his wealth by entertaining the populace at Io,000 tables, and distributing sufficient corn to last each family three months.
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  • The Roman consuls were at first called praetors; in the early code of the Twelve Tables (450 B.C.) they appear to have had no other title.
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  • The Semitic alphabet is excellently treated by Lidzbarski in the Jewish Encyclopaedia (1901); his Nordsemitische Epigraphik (1898) has excellent facsimiles and tables of the alphabets, and there are many contributions to the history of the alphabet in the same writer's Ephemeris fur semitische Epigraphik (Giessen, since 1900).
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  • The most striking fact brought out by the tables just given is the large and steady increase year by year in the presidency, in spite of all efforts to arrest the spread of infection.
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  • Beneath the Rete, in a hollow, are four thin brass discs, called Tables or Climates, engraved with projections of the sphere for different latitudes.
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  • Back, showing graduations, parallelogram for measuring heights; and other tables, together with the Rule with sights (A) held by a moveable pin (B), known as the Horse or Wedge.
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  • Of the many calculations set forth in these valuable tables there is only room here to refer to the "afterlifetime" for such countries as it is available, which is quoted in the last column of Table VII.
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  • His name is best known in connexion with his tables of affinities (tables des rapports), which he presented to the French Academy in 1718 and 1720.
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  • Accordingly he resolved to " devote all the force which he could spare to the work of deriving improved values of the fundamental elements and embodying them in new tables of the celestial motions."
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  • The formation of the tables of a planet has been described by Cayley as " the culminating achievement of astronomy," but the gigantic task which Newcomb laid out for himself, and which he carried on for more than twenty years, was the building up, on an absolutely homogeneous basis, of the theory and tables of the whole planetary system.
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  • For some years after the publication of Hansen's tables of the moon in 1857 it was generally believed that the theory of that body was at last complete, and that its motion could be predicted as accurately as that of the other heavenly bodies.
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  • The tables below will give a fair idea of the variations which occur in the same wine as a result of different vintages, and the variations due to differences of growth " in the same vintage.
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  • Taylor volcano (11,389 ft.), which is surrounded by lava tables and some of the most wonderful volcanic buttes in the world.
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  • Petitions against the service book and the book of canons poured in from every quarter; the tables or committee formed to forward the petition rapidly became a powerful government at the head of a national movement, the action of the crown was temporizing, and on the 28th of February the National Covenant was signed in the famous scene in Greyfriars church and churchyard.
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  • After the formation of these tables, we proceed to apply what is perhaps the most valuable part of the Baconian method, and that in which the author took most pride, the process of exclusion or rejection.
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  • It is evident that if the tables were complete, and our notions of the respective phenomena clear, the process of exclusion would be a merely mechanical counting out, and would infallibly lead to the detection of the cause or form.
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  • But although the rigorous requirements of science could only be fulfilled by the employment of all these means, yet in their absence it was permissible to draw from the tables and the exclusion a hypothetical conclusion, the truth of which might be verified by the use of the other processes; such an hypothesis is called fantastically the First Vintage (Vindemiatio).
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  • There were two type beds and two inking tables, which travelled backwards and forwards, and one platen only, situated in the middle of the machine, which in turn gave the needful impression as the type-formes passed underneath.
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  • Much in the same way as Roman law was derived from the Twelve Tables, the Jewish written laws were used as the authority for subsequent modifications, and the continuity of the religious-legal system was secured by a skilful treatment of old precedents?
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  • The value of the cotton manufactures exported sank from L80,164,155 in 1872 to L67,641,268 in 1876; woollen fabrics from £38,493, The tables on p. 604 show the value of unregistered imports of golc_ _ nd silver bullion and specie from British possessions and from foreign countries into the United Kingdom, specifying the most important countries individually..
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  • The two following tables illustrate the further development of railways in the United Kingdom: In 1909 the percentage of working expenses to total receipts was 63 in England and Wales, 57 in Scotland and 62 in Ireland.
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  • Vital statistics: Reports of the registrars-general respectively for England, for Scotland (Edinburgh), for Ireland (Dublin); Census Reports (decennial, 1901, &c.), ditto; Education: Reports of the Board of Education for England and Wales; Report of the Commissioners of National Education in Ireland; Report of the Committee of Council on Education in Scotland; Electoral Statistics (London, 1905); Statistical Tables relating to Emigration and Immigration; Judicial Statistics of England and Wales, of Scotland, of Ireland; Local Government Reports, ditto; Statistical Abstract for the United Kingdom, in which the most important statistics are summarized for each of the fifteen years preceding the year of issue.
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  • He wrote also treatises on the astrolabe (a copy of this is in the British Museum), on the abacus (three copies exist in the Vatican library, the library of Leiden University and the Bibliotheque Nationale in Paris), translations of the Kharismian Tables and an Arabic Introduction to Astronomy.
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  • Tables, about 500 B.C., was intended to strike at the evil by providing a maximum rate of interest.
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  • Hulagu fixed his capital at Maragha (Meragha) in Azerbaijan,where he erected an observatory for Nasir ud-din Tusi, who at his request prepared the astronomical tables known as the Zidj-i-Ilkhani.
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  • On the death of the Shah Rukh in 1446 he was succeeded by his son Ulugh Bey, whose scientific tastes are demonstrated in the astronomical tables bearing his name, quoted by European writers when determining the latitude of places in Persia.
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  • At the beginning stands the usual introductory matter, such as the tables for determining the date of Easter, the calendar, and the general rubrics.
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  • The chloride crystallizes in colourless rhombic tables of specific gravity 3.9 and is readily soluble in water, but is almost insoluble in concentrated hydrochloric acid and in absolute alcohol.
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  • The successive publication of Tables for the Purchasing and Renewing of Leases (1802), of The Doctrine of Interest and Annuities (1808), and The Doctrine of Life-Annuities and Assurances (1810), earned him a high reputation as a writer on life-contingencies; he amassed a fortune through diligence and integrity and retired from business in 1825, to devote himself wholly to astronomy.
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  • Between 1825 and 1827 he produced divers sketches, chronological tables, &c., of modern history.
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  • Hence it has been celebrated from antiquity for tables, &c. The wood of the roots is frequently knotted, and valuable for small objects of cabinet work.
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  • In addition to this, he translated various other treatises, to the number, it is said, of sixty-six; among these were the Tables of "Arzakhel," or Al Zarkala of Toledo, Al Farabi On the Sciences (De scientiis), Euclid's Geometry, Al Farghani's Elements of Astronomy, and treatises on algebra, arithmetic and astrology.
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  • The federal republicans became masters of the situation in the last fortnight of April 1873, and turned the tables on their adversaries by making a pacific bloodless pronunciamiento.
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  • His first work was a short book which is a mere series of chronological tables.
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  • Babbage's attention seems to have been very early drawn to the number and importance of the errors introduced into astronomical and other calculations through inaccuracies in the computation of tables.
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  • Of these the most important, besides the few already mentioned, are Tables of Logarithms (1826); Comparative View of the Various Institutions for the Assurance of Lives (1826); Decline of Science in England (1830); Ninth Bridgewater Treatise (1837); The Exposition of 1851 (1851).
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  • In addition to the Church History we have from Eusebius' pen a Chronicle in two books (c. 303; later continued down to 325), the first containing an epitome of universal history, the second chronological tables exhibiting in parallel columns the royal succession in different nations, and accompanied by notes marking the dates of historical events.
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  • Zacli published Tables of the Sun (Gotha, 1792; new and improved edition, ibid., 1804), and numerous papers on geographical subjects, particularly on the geographical positions of many towns and places, which he determined on his travels with a sextant.
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  • Running through these volumes in order, we have in the second the memoir, Summatio quarundam serierum singularium, the memoirs on the theory of biquadratic residues, in which the notion of complex numbers of the form a--bi was first introduced into the theory of numbers; and included in the Nachlass are some valuable tables.
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  • Genealogies also pass from the bald verse, which was the vehicle for oral transmission, to such elaborate tables as those in which Manetho has preserved the dynasties of Egyptian Pharaohs.
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  • The commonest form of medieval historical writing was the chronicle, which reaches all t he way from monastic annals, mere notes on Easter tables, to the dignity of national monuments.
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  • The results of these enumerations are published in separate volumes for each county, in a volume of summary tables, and in a general report.
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  • He, one of the greatest monarchs in Europe, habitually wore plain Cracow cloth, drank nothing but water, and kept the most austere of tables.
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  • It crystallizes in tables and is very soluble in water.
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  • For the reception of his parishioners he had three tables well covered - one for gentlemen, the second for husbandmen, the third for day-labourers; and this piece of hospitality he never omitted, even when losses or scarcity made its continuance difficult.
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  • Compare also the rule of the Twelve Tables, by which an animal which had inflicted mischief might be surrendered in lieu of compensation.
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  • It is justly considered the first as well as the oldest of the zoological stations of the world, and the chief universities pay £ioo a year for tables to which they send students.
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  • At these tables every necessary is provided, each student having his own tanks with salt water laid on for keeping his specimens, and all necessary chemicals being provided.
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  • If the loads to be carried are largely stationary, and if the span is small, the floor joists can be readily proportioned by means of tables given in the handbooks issued by many steel companies.
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  • Rowland's Tables of Wave-Lengths, many theoretical papers, and some reproductions of important papers issued elsewhere.
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  • Lexell, and pursued his researches until he had constructed the new tables, which appeared in his Theoria motuum lunae (1772).
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  • These ordinances proved, however, generally ineffectual to secure strictness of diet, and contemporaneous literature abounds with satirical remarks and complaints concerning the inordinate extravagance of the tables of the abbots.
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  • In the other letters written in 1685 and 1686 he applies to Flamsteed for information respecting the orbits of the satellites of Jupiter and Saturn, respecting the rise and fall of the spring and neap tides at the solstices and the equinoxes, respecting the flattening of Jupiter at the poles (which, if certain, he says, would conduce much to the stating the reasons of the precession of the equinoxes), and respecting the difference between the observed places of Saturn and those computed from Kepler's tables about the time of his conjunction with Jupiter.
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  • It would add to my satisfaction if you would be pleased to let me know the long diameters of the orbits of Jupiter and Saturn, assigned by yourself and Mr Halley in your new tables, that I may see how the sesquialteral proportion fills the heavens, together with another small proportion which must be allowed for."
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  • Tables the father lost it, if he three times sold his child.
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  • In the case of lists and schedules the numbers are only ordinals; but in the case of mathematical or statistical tables they are usually regarded as cardinals,though, when they represent values of a continuous quantity, they must be regarded as ordinals (§§ 26, 93).
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  • It is generally accepted that the horizontal direction of increase, where a horizontal direction is necessary, should be from left to right; but uniformity as regards vertical direction could only be attained either by printing mathematical tables upwards or by taking " downwards," instead of " upwards," as the " positive " direction for graphical purposes.
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  • The diagrams, A, B, C are simple forms of tables; A giving a sum-series, B a multiple-series, and C a series of square roots, calculated approximately.
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  • The following tables are given as illustrations of the arrangement adopted elsewhere in this article; the entries in any column denote multiples or submultiples of the unit stated at the head of the column, and the entries in any row give the expression of one unit in terms of the other units.
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  • The second class consisted of larger tables destined for burnt sacrifice; these were placed in the open air, and, if connected with a temple, in front of the entrance.
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  • Portable altars and tables of offerings were used in pre-Christian as well as in Christian ritual.
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  • This reduction is facilitated by the use of tables.
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  • Ferrous bromide, FeBr2, is obtained as yellowish crystals by the union of bromine and iron at a dull red-heat, or as bluish-green rhombic tables of the composition FeBr26H2O by crystallizing a solution of iron in hydrobromic acid.
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  • From the imperfect statistics available, the following tables of the class of goods imported and exported, and their respective values, were drawn up in 1901 by the late Mr Whittaker, The Times correspondent.
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  • To the statistician of the stars, catalogues of spectra, magnitude, position and proper motions are of the same importance that census tables are to the student of humanity.
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  • This is facilitated by the construction of tables by means of which the co-ordinates can be computed at any time.
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  • Such tables are used in the offices of the national Ephemerides to construct ephemerides of the several planets, showing their exact positions in the sky from day to day.
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  • He compiled the Hakimite Tables of the planets, and observed at Cairo, in 977 and 978, two solar eclipses which, as being the first recorded with scientific accuracy, 4 were made available in fixing the amount of lunar acceleration.
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  • Nasir ud-din (1201-1274) drew up the Ilkhanic Tables, and determined the constant of precession at 51".
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  • He founded about 1420 a splendid observatory at Samarkand, in which he re-determined nearly all Ptolemy's stars, while the Tables published by him held the primacy for two centuries.'
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  • The Rudolphine Tables (Ulm, 1627), computed by him from elliptic elements, retained authority for a century, and have in principle never been superseded.
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  • Leverrier undertook in 1839, and concluded in 1876, the formidable task of revising all the planetary theories and constructing from them improved tables.
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  • Among the fruits of the strenuous career of Nicolas Louis de Lacaille were tables of the sun, in which terms depending upon planetary perturbations were, for the first time, introduced (1758); an extended acquaintance with the southern heavens; and a determination of the moon's parallax from observations made at opposite extremities of an arc of the meridian 85' in length.
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  • He executed besides a chart and forty drawings of the moon (published at Göttingen in 1881), and calculated lunar tables from a skilful development of Euler's theory, for which a reward of boo() was in 1765 paid to his widow by the British government.
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  • They were published by the Board of Longitude, together with his solar tables, in 1770.
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  • Acenaphthalene, C12 H8, a hydrocarbon crystallizing in yellow tables and obtained by passing the vapour of acenaphthene over heated litharge.
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  • During the twenty years following he devoted a large part of his energies to the numerical computation of the lunar inequalities, the redetermination of the elements of motion, and the preparation of new tables for computing the moon's position.
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  • In the latter branch of the work he received material aid from the British government, which published his tables on their completion in 1857.
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  • Laplace's immediate successors, among whom were Hansen, Plana and Pontecoulant, found a larger value, Hansen increasing it to 12.5", which he introduced into his tables.
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  • Bradley, was the first to represent the effects of nutation in the solar tables, and introduced, in 1741, the use of the transitinstrument at the Paris observatory.
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  • In mathematics the term has received special meanings; in mathematical tables the "argument" is the quantity upon which the other quantities in the table are made to depend; in the theory of complex variables, e.g.
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  • Under the Wyndham Act of 1903 the process was greatly extended., The following tables give summarized particulars, for the period from the 1st of November 1903 to the 31st of March 1906, of (1) estates for which purchase agreements were lodged in cases of sale direct from landlords to tenants; (2) estates for the purchase of which the Land Commission entered into agreements under sects.
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  • The society had at first many difficulties to con front, but after the first two or three years of its existence It will be seen from these two tables that though the amount of its progress became more rapid, and co-operation became advances applied for during the period dealt with amounted to over Estimated number of purchasers on resale.
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  • According to Newenham's tables the annual average of new drapery exported from Ireland for the three years ending March 1702 was only 20 pieces, while the export of woollen yarn; worsted yarn and wool, which to England was free, amounted to 349,410 stones.
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  • From special returns to parliament the following table shows net income and expenditure over a series of years up to 1868: The amount of imperial revenue collected and expended in Ireland under various heads for the five years1902-1906appears in the following tables: Subtracting in each year the total expenditure from the estimated true revenue it would appear from the foregoing table that Ireland contributed to imperial services in the years under consideration the following sums: £2,570,000, £2,852,000, £2,200,500, £2,186,500 and £1, 811,500.
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  • Besides these there were on the floor of the main apartment a number of detached movable couches or seats, all low, with one or more low tables of some sort.
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  • The tri-iodide, AsI3 prepared by subliming arsenic and iodine together in a retort, by leading arsine into an alcoholic iodine solution, or by boiling powdered arsenic and iodine with water, filtering and evaporating, forms brick-red hexagonal tables, of specific gravity 4.39, soluble in alcohol, ether and benzene, and in a large excess of water; in the presence of a small quantity of water, it is decomposed with formation of hydriodic acid and an insoluble basic salt of the composition 4AsOI.
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  • The speech which he pronounced on this occasion was engraved on tables of bronze at Lyons, and is the first authentic record of Gauls admission to the citizenship of Rome.
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  • None of the inhabitants of Monaco have access to the tables; and their interest in the maintenance of the status quo is secured by their complete exemption from taxation and the large prices paid for their lands.
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  • The tables which he drew up from information obtained from all the presbyteries of Scotland were based on a system of actuarial calculation that supplied a precedent followed by insurance companies in modern times for reckoning averages of longevity.
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  • Within two years of their first discovery, he had constructed approximately accurate tables of the revolutions of Jupiter's satellites, and he proposed their frequent eclipses as a means of determining longitudes, not only on land, but at sea.
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  • By taking advantage of their embarrassment and his own local knowledge, Pisani carried out a series of movements which entirely turned the tables on the invaders.
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