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positions

positions Sentence Examples

  • In fact, she did see him in those positions, and in many more.

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  • "Are these the troops?" a blond woman asked, dressed in tactical clothing and sporting advanced weaponry that reminded Brady just how elite the positions in the special protective service were considered.

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  • All of the weapons controllers had been taken from their positions all over the world and placed here, disguised as lesser systems.

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  • All the subscribers' lines are connected in order to jacks on the first two or three or four operators' positions, and these connexions are repeated or " multipled " upon each succeeding similar group of positions.

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  • Our activities certainly looked demanding and our positions important.

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  • The weather was calm, and the rustle and tramp of the French troops already beginning to move to take up their positions were clearly audible.

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  • One of the fire trucks, a few positions ahead of Dean, periodically let go with a squirt to the screech and scream of the victims.

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  • In such a small town, there couldn't be many positions, and the pay wouldn't come close to what she was making in Tulsa.

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  • "The cease-fire must make it easier to travel," she observed, recalling the enemy positions around the spacecraft launch sites.

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  • of the high plateau, with the positions of Halai, Saganeiti and Asmar.

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  • by the home government, he, however, instructed a native ally to occupy the important positions of Keren and Asmar, and prepared himself to take the offensive against Mangash~ and Ras Alula.

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  • Each day they changed positions in line so that no one ate the dust from all the wagons every day.

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  • We assumed our now familiar positions with Howie changed into pajamas and robe.

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  • As if on cue, the crowd began to break up, with cheerful groups moving to various positions around the circle.

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  • of the Temple and probably formed the basis of the citadel built by Simon Maccabaeus, which again was succeeded by the fortress of Antonia, constructed by Herod the Great, and one of the most important positions at the time of the siege by Titus.

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  • The way they secure their positions is through the ruthless application of violence.

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  • The same people were still sitting here in almost the same positions as before, whispering to one another.

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  • More than half the ladies already had partners and were taking up, or preparing to take up, their positions for the polonaise.

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  • The Russians did not seek out the best position but, on the contrary, during the retreat passed many positions better than Borodino.

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  • Like, hooking up with a stranger at a bar like they did in movies and a few sex positions she'd been subtly trying to talk him into.

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  • The woman introduced herself as Annie Mae Wilkie and informed us she was the treasurer of Brockville, in addition to holding several other positions.

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  • He looked down as two of his Guardians hopped up from their positions.

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  • Cynthia, while not as apprehensive as Edith had been, was obviously uncomfortable watching the climbers, especially from atop their precarious positions.

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  • There are signs when Death is in her fortress.  I might be able to see the trees in their defensive positions from here.

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  • Trees of all kinds sprang from the earth in the strangest positions.

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  • In the time that she had known him, he had given no indication that he was impressed by money or people with important positions.

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  • Many of the columns of the basilica have fallen, but the bases of all are in their original positions.

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  • to c 1, vary much, then a diurnal inequality derived from a whole year, or from a season composed of several months, represents a mean curve arising from the superposition of a number of curves, which differ in shape and in the positions of their maxima and minima.

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  • Michael Maestlin in 1579 determined the relative positions of eleven stars in the Pleiades (Historia coelestis Lucii Baretti, Augsburg, 1666), and A.

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  • The application of photography to exact astronomy has created the necessity for new forms of apparatus to measure the relative positions of stellar and planetary images on photographic plates, and the relative positions of lines in photographic spectra.

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  • the absolute freedom of the derived co-ordinates from the effects of wear of the screws in the mean of measures made in reversed positions of the plate.

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  • The excellent manner in which the scales and micrometers are mounted, the employment of a compound microscope for viewing the scales, with its ingeniously arranged and admirably efficient reversing prism, and the perfection of its slow motions for focusing and reading, combine to render this a most accurate and convenient instrument for very refined measures, although too slow for work in which the measures must depend on single pointings in each of two reversed positions of the plate, and where speed of working is essential.

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  • For it was proved that the medieval objects were found in such positions as to be necessarily contemporaneous with the foundation of the buildings, and that there was no superposition of periods of any date whatsoever.

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  • The four players in a rink are known as the leader, second player, third player and skip (or driver, captain or director), and their positions, at least in matches, are unchangeable.

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  • Nehemiah mentions a number of places on the eastern hill, including the tomb of David, the positions of which cannot with our present knowledge be fixed with any certainty.

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  • They resigned their positions as councillors of state, and expressed their grievances personally to Margaret and by letter to the king in Madrid, asking for the dismissal of Granvelle.

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  • His breadth of human sympathy led him to positions which the comparative study of religions has made familiar, but for which his age was unprepared.

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  • The conception of work and of energy was originally derived from observation of purely mechanical phenomena, that is to say, phenomena in which the relative positions and motions of visible portions of matter were all that were taken into consideration.

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  • The system consisting of the earth and the pound therefore possesses an amount of energy which depends on the relative positions of its two parts, on account of the latent physical connexion existing between them.

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  • In most mechanical systems the working stresses acting between the parts can be determined when the relative positions of all the parts are known; and the energy which a system possesses in virtue of the relative positions of its parts, or its configuration, is classified as "potential energy," to distinguish it from energy of motion which we shall presently consider.

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  • The emperor's chief work was guarding the frontiers and establishing military positions.

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  • When a combination of signals has been received and the armatures have taken up their respective positions corresponding to the transmitting keyboard, certain mechanism in the receiver translates the position of the five armatures into a mechanical movement which lifts the paper tape against a type-wheel and prints the corresponding letter.

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  • In 1892, on the Bristol Channel, he established communication between Lavernock Point and an island called Flat Holme in that channel by placing at these positions insulated single-wire circuits, earthed at both ends and laid as far as possible parallel to each other, the distance between them being 3.3 m.

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  • Stations were established on various coast positions and ships supplied with the above-described apparatus to communicate with each other and with these stations.

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  • 771818) to employ a receiving antenna consisting of vertical wires held in a frame which could be swivelled round into various positions and used to locate the position of the sending station by ascertaining the position in which the frame must be placed to create in it the maximum oscillatory current.

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  • This board is built up in sections of one or more operators' positions each.

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  • The Church of Rome has discouraged these daring tactics in favour of the more cautious and probably more defensible positions of Aquinas.

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  • He draws no inferences to theology or religion, whether friendly or hostile, from his new positions.

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  • We have already spoken of Kant's peculiar philosophical positions.

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  • In the biserial type the polyps on the two sides of the stem have primitively an alternating, zigzag arrangement; but, by a process of differential growth, quickened in the 1st, 3rd, 5th, &c., members of the stem, and retarded in the 2nd, 4th, 6th, &c., members, the polyps may assume secondarily positions opposite to one another on the two sides of the stem.

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  • This was favoured by the development of the greater sees into positions of great administrative dignity, shortly to be called " patriarchal."

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  • Sclerenchyma may bi formed later in various positions in the cortex, according to loca needs.

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  • precision on the surface and angular observations of the graphy positions of the heavenly bodies.

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  • Oceanic islands have, as a rule, distinctive faunas and floras which resemble, but are not identical with, those of other islands in similar positions.

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  • These were removed by Napoleon to Paris, but restored to their original positions after the peace of 1815.

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  • In the intervening space (the object-box) are contained a number of fragments of brilliantly coloured glass, and as the tube is turned round its axis these fragments alter their positions and give rise to the various patterns.

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  • In the 18th century the nobility of France and the nobility of Poland alike answered to the very strictest definition of nobility; but the political positions of the two were as broadly contrasted as the positions of any two classes of men could be.

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  • 1856), was educated at Strassburg and occupied various positions in the Wiesbaden laboratory.

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  • The more celebrated and central thesis of the book - this finite universe, the best of all such that are possible - also restates positions of Augustine and Aquinas.

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  • Old positions re-emerge from forgetfulness, and there is always a philosophy to back every " case."

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  • Alembert's fame spread rapidly throughout Europe and procured for him more than one opportunity of quitting the comparative retirement in which he lived in Paris for more lucrative and prominent positions.

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  • It is remarkable that these organs are found in similar positions in genera belonging to widely divergent families, while two genera of the same family may have them in different positions.

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  • In this way German influence was enormously increased, and was represented by men of considerable capacity holding the highest official positions, such as Biren, Miinnich and Ostermann.

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  • passengers and goods are generally in different and sometimes in distant positions, the place selected for each being that which is most convenient for the traffic. The passenger station abuts on the main line, or, at termini, forms the natural terminus, at a place as near as can conveniently be obtained to the centre of the population which constitutes the passenger traffic; and preferably its platforms should be at or near the ground level, for convenience of access.

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  • The blocks are angular, and rest irregularly one upon another, supported in all positions by the angles and edges of those beneath.

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  • He constructed a map of as many as 576 of these lines, the principal of which he denoted by the letters of the alphabet from A to G; and by ascertaining their refractive indices he determined that their relative positions are constant, whether in spectra produced by the direct rays of the sun, or by the reflected light of the moon and planets.

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  • The view of Warwick Castle, rising from the wooded banks of the river, is unsurpassed, and the positions of Stratford and Evesham are admirable.

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  • Some took root in the strange lands, and, as later popular stories indicate, evidently reached high positions; others, retaining a more vivid tradition of the land of their fathers, cherished the ideal of a restored Jerusalem.

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  • More recently men like Wollemberg, Ottolenghi and Luzzatti rose to high positions as ministers of state.

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  • In the early middle ages the title prelate was applied to secular persons in high positions and thence it passed to persons having ecclesiastical authority.

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  • The precise positions of the mountain ridges that traverse this central area are not properly known; their elevation is everywhere considerable, and many points are known to exceed 10,000 or 12,000 ft.

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  • But Reid lacked the art to give due impressiveness to the important advance which his positions really contain.

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  • After occupying the positions of procurator of the Jesuits at Rome and censor (calificador) of the Inquisition at Madrid, Acuna returned to South America, where he died, probably soon after 1675.

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  • Sawfly larvae can at once be recognized by the curious positions they assume, and by the number of pro-legs, which exceeds ten.

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  • Well-developed glandular invaginations occur in different positions on the foot in Pectinibranchia.

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  • Disregarding the neutrality of the Germanic System, Napoleon sent a strong French corps to overrun Hanover, while he despatched General Gouvion St Cyr to occupy Taranto and other dominating positions in the south-east of the kingdom of Naples.

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  • One tripod thus affords a firm base of support while the legs of the other tripod are brought forward to their new positions.

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  • views - for it was a generation whose leaders, in France at any rate, looked with suspicion upon any one who professed to go beyond the bounds which the genius of Cuvier had been unable to overpass, and regarded the notion of upsetting any of the positions maintained by him as verging almost upon profanity.

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  • Pieces already detached were restored to their original positions, and those blackened by damp and dust were carefully cleaned.

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  • For the latter purpose, Westinghouse gas-regulators are employed, the positions of the regulators being so chosen as to equalize the pressure throughout the service.

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  • to Marra; but his men still held two positions in Antioch, from which they were not dislodged by Bohemund till January 1099.

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  • - Instruments of the third class depend for their action on the fact discovered by Ampere, that mechanical forces exist between conductors carrying electric currents when those conductors occupy certain relative positions.

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  • 1476), Florentine historian, occupied various positions in the service of the Florentine republic after the expulsion of the Medici in 1494, and even on their return in 1512 he continued in the public service.

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  • Many of them afterwards attained high positions in the Church; one, Anselm of Badagio, became pope under the title of Alexander II.

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  • Let P, P' be two consecutive positions of the radius vector.

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  • The problem of determining an orbit may be regarded as coeval with Hipparchus, who, it is supposed, found the moving positions of the apogee and perigee of the moon's orbit.

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  • In spite of his absolute lack of talent, he attained the highest of positions - an exceptional fact in the history of the French Revolution.

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  • His colonial ancestors held official positions in the civil and military service of Virginia.

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  • Baeyer supposes that in the formation of carbon, rings " the valencies become deflected from their positions, and that the tension thus introduced may be deduced from a comparison of this angle with the angles at which the strained valencies would meet.

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  • These three acids yield on heating phenol, identical with the substance started with, and since in the three oxybenzoic acids the hydroxyl groups must occupy positions other than I, it follows that four hydrogen atoms are equal in value.

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  • Hence the positions occupied by the nitro groups in the two different nitrobrombenzoic acids must be symmetrical with respect to the carboxyl group. In 1879, Hubner (Ann., 1 95, p. 4) proved the equivalence of the second pair, viz.

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  • Orientation of Substituent Groups.-The determination of the relative positions of the substituents in a benzene derivative constitutes an important factor in the general investigation of such compounds.

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  • Starting with a monoderivative, we have seen that a substituent group may enter in either of three positions to form an ortho-, meta-, or paracompound.

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  • The compiler, in combining these materials, is called upon to examine the various sources of information, and to form an estimate of their value, which he can only do if he have himself some knowledge of surveying and of the methods of determining positions by astronomical observation.

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  • But even here certain positions were agreed on in large sections of Christendom.

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  • In fact, the number of men, either Quakers or of Quaker origin and proclivities, who occupy positions of influence in English life is large in proportion to the small body with which they are connected.

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  • In both positions she acquitted herself with marked ability.

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  • The synod of Chalcedon in 451, following the lines of Pope Leo I.'s famous letter, endeavoured to steer a middle course between the so-called Nestorian and Eutychian positions.

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  • Justinian himself, with the aid of Leontius of Byzantium (c. 4 8 5-543), a monk with a decided turn for Aristotelian logic and metaphysics, had tried to reconcile the Cyrillian and Chalcedonian positions, but he inclined more and'more towards the monophysite view, and even went so far as to condemn by edict three teachers (Theodore of Mopsuestia, Theodoret, the opponent of Cyril, and Ibas of Edessa) who were offensive to the monophysites.

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  • In every important campaign of the Turkish armies, these descendants of the Bogomils were represented; they amassed considerable wealth from the spoils of war, and frequently rose to high military and administrative positions.

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  • This belief in positions was the cardinal principle of Prussian strategy in those days.

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  • The Russians meanwhile had been moving slowly forward in two bodies, one under Bennigsen (50,000), the other under Buxhowden (25,000), and the French being at this time in Warsaw, they took up threatening positions about Pultusk, Plock and Prassnitz.

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  • The troops arrived late at their appointed positions, and after a stubborn rearguard action at Pultusk itself and undecisive fighting elsewhere (Soldau-Golymin) the Russians succeeded in retreating beyond the jaws of the French attack, and Napoleon for the first time found that he had exceeded the limit of endurance of his men.

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  • On this day his troops stood in the following positions.

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

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  • 17) in which Sir Arthur Wellesley attacked and drove him from two successive positions.

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  • As the conduct of this campaign was largely influenced by the operations of the Spanish forces, it is necessary to mention their positions, and also the fact that greater reliance had been placed, both in England and Spain, upon them than future events justified.

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  • The French, still numbering nearly 200,000, now held the following positions: the Army of the North - Dorsenne (48,000) - was about the Pisuerga, in the Asturias, and along the northern coast; the Army of Portugal - Marmont (50,000) - mainly in the valley of the Tagus, but ordered to Salamanca; the Army of the South - Soult (55,000) - in Andalusia; the Army of the Centre - Joseph (ig,000) - about Madrid.

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  • Generally a low altitude is desirable, but good results have been obtained in Ceylon in sheltered positions at elevations of 3000 ft.

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  • Italy: "Lettres Romaines" in Annales de philosophie chretienne (Paris, January-March 1904), an Italian theologian's fearless defence of Loisy's main New Testament positions; Rev. P. Louis Billot S.J., De sacra traditione (Freiburg i.

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  • In the preceding century reliance was placed entirely on the observed moments at which Venus entered upon or left the limb of the sun, but in 1874 it was possible to determine the relative positions of Venus and the sun during the whole course of the transit.

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  • These two positions are sometimes called the first and second (or A and B) principal positions of Gauss.

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  • These are the " axial " and " equatorial " positions of Faraday.

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  • In order to fulfil the requirement that the field which a magnetized rod produces at the magnetometer shall be at right angles to that of the earth, the rod may be conveniently placed in any one of three different positions with regard to the suspended needle.

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  • When no current is passing through the coil and the magnetic field is of zero strength, the needles arrange themselves in positions of stable equilibrium under their mutual forces, pointing in.

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  • If now a gradually increasing magnetizing force is applied, the needles at first undergo a stable deflection, giving to the group a small resultant moment which increases uniformly with the force; and if the current is interrupted while the force is still weak, the needles merely return to their initial positions.

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  • Now the unstable movements of the needles are of a mechanically irreversible character; the energy expended in dissociating the members of a combination and placing them in unstable positions assumes the kinetic form when the needles turn over, and is ultimately frittered down into heat.

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  • As a consequence of the structure of the molecule, which is an aggregation of atoms, the planes of the orbits around the latter may be oriented in various positions, and the direction of revolution may be right-handed or left-handed with respect to the direction of any applied magnetic field.

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  • The development of railway construction in Brazil has been impeded to a great extent by two unfavourable conditions-by the chain of mountains or plateau escarpments which follow the coast line and obstruct communication with the interior, and by the detached positions of the settlements along the Atlantic, which compel 1 The areas are reduced from the planimetrical calculations made at Gotha and used by A.

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  • On the 15th of March 1894 the rebel forces evacuated their positions on the islands of Villegaignon, Cobras and Enxadas, abandoned their vessels, and were received on board two Portuguese warships then in the harbour, whence they were conveyed to Montevideo.

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  • As far as possible Englishmen were excluded from all responsible positions both in church and state.

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  • The leader of the party which sought responsible government was Sir John Robinson (1839-1903) who had gone to Natal in 1850, was a leading journalist in the colony, had been a member of the legislative council since 1863, and had filled various official positions.

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  • This passage indicates three possible positions with regard to universals.

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  • The national assembly (Orszaggyiiles) was still summoned occasionally, but at very irregular intervals, the real business of the state being transacted in the royal council, where able men of the middle class, principally Italians, held confidential positions.

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  • Magyar was now declared to be the language of the schools and the law-courts as well as of the legislature; mixed marriages were legalized; and official positions were thrown open to non-nobles.

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  • He laboured for some time as a missionary priest in Staffordshire, held several positions as tutor to young Roman Catholic noblemen, and was finally appointed president of the English seminary at St Omer, where he remained till his death on the 15th of May 1773.

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  • In particular, the equality or inequality of values of two functions is more readily grasped by comparison of the lengths of the ordinates of the graphs than by inspection of the relative positions of their bounding lines.

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  • The central authority in Austria was steadily breaking down, and the food crisis was rendered still more acute by the widespread formation of " Green Cadres " - well organized armed bands which held positions in the mountains and defied capture.

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  • In the present application 4' is not necessarily equal to; but if P correspond to a line upon the grating, the difference of retardations for consecutive positions of P, so far as expressed by the term of the first order, will be equal to mX (m integral), and therefore without influence, provided v (sin 0-sin0') = nzX (11), where a denotes the constant interval between the planes containing the lines.

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  • In accordance with this we can give the relative positions of the various tribes, and an excursus on the rivers (47-57) lets us define their actual seats.

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  • TRIAZINES, in organic chemistry, a series of cyclic compounds, containing a ring system composed of three carbon and three nitrogen atoms. Three series are possible, the positions of Marine Trias Of The Alpine And Indian Types.

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  • He encountered resistance at Belmont on the 23rd, but attacking resolutely he drove the Boers out of their strong positions.

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  • 1070), was the son of a Norman who had held high positions in East Anglia, perhaps that of earl, in the reign of Edward the Confessor (c. X055).

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  • the troops had reached their allotted positions.

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  • It is necessary to remember that London is older than these counties, whose names, Middlesex and Surrey, indicate their relative positions to the city and the surrounding county.

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  • During the reign of his successor the great change in the relative positions of London within and without the walls had set in.

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  • As the water level falls the tanks readily follow it while at work, whereas pumps must be lowered to new positions to keep within suction distance.

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  • In addition there have been established in many countries schools for the education of workmen, in order to fit them for minor positions and to enable them to work intelligently with the engineers.

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  • A general attack was delivered on the Ottoman positions on the 5th, by which some little ground was gained along most of the front.

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  • A rearrangement of the attacking forces was carried otit during the following night, and the attempt to gain the highest ground was resumed at dawn on the 8th from the positions that had been acquired 24 hours earlier.

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  • Impressed by the unsatisfactory positions in which the Allied troops found themselves on the peninsula, by the impossibility of their making any progress at their existing strength, and by the risks that the army ran in remaining on such shores without any safe harbour to depend upon for base in stormy weather, Monro, after examining the situation on the spot in the closing days of Oct., declared unhesitatingly for a complete withdrawal.

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  • It would have been folly after that experience to risk defeat and perhaps disaster in assailing formidable positions, effectively held and assiduously fortified.

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  • There was to be no taking up of successive positions in accordance with the normal practice of rearguard actions.

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  • They moreover enjoyed an even more marked superiority in respect to artillery, and this the Ottoman commander-in-chief hastened to turn to account; the heavier guns which had been sweeping the Anzac and Suvla areas for months past were promptly transferred to the high ground overlooking the extremity of the peninsula or to positions on the Asiatic side of the Straits from which the extremity of the peninsula could be effectively taken in flank.

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  • They attacked a party of sepoys within the frontier, and seized and carried off British subjects, while at all points their troops, moving in large bodies, assumed the most menacing positions.

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  • The positions of the factories were determined by the supply of wood for fuel, and subsequently, when the craft of glass-cutting was introduced, by the accessibility of water-power.

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  • Florence was in the 14th century a city of about 100,000 inhabitants, of whom 25,000 could bear arms; there were Ito churches, 39 religious houses; the shops of the ante della lana numbered over 200, producing cloth worth 1,200,000 florins; Florentine bankers and merchants were found all over the world, often occupying responsible positions in the service of foreign governments; the revenues of the republic, derived chiefly from the city customs, amounted to some 300,000 florins, whereas its ordinary expenses, exclusive of military matters and public buildings, were barely 40,000.

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  • His first book, The Perpetuity of a Regenerate Man's Estate (1627), defended one of the main Calvinistic positions, and The Unloveliness of Love-locks and Health's Sickness (1628) attacked prevailing fashions without any sense of proportion, treating follies on the same footing as scandalous vices.

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  • He had as colleague Franz Gomarus, a strong supralapsarian, perfervid, irrepressible; and their collisions, personal, official, political, tended to develop and define their respective positions.

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  • If the political results of the mission were nil, the value to geographical science was immense; for though no geographer himself, Sadlier's route across Arabia made it possible for the first time to locate the principal places in something like their proper relative positions; incidentally, too, it showed the practicability of a considerable body of regular troops crossing the deserts of Nejd even in the months of July and August.

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  • Few are still in situ, the majority having been taken from their original positions and built into houses, mosques or wells of more recent date.

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  • Formerly the Indians were forcibly pressed into the service and the whites filled the positions of officers, in great part untrained.

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  • The Creoles (Criallos) or American-born Spaniards had for long been aggrieved at being shut out from all important official positions, and at the restrictions placed upon their trade, but the bulk of the Creole population was not disloyal.

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  • These are not all the centres of separate systems, however: many of the positions being multiple observations of the same showers.

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  • On retiring from the governor's office he declined the presidency of Antioch College, at Yellow Springs, Ohio, and various positions in the service of the Federal government, and resumed the practice of law, at once achieving great success.

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  • The Amnesty Bill restored civil rights to all persons in the South, save from 300 to 500 who had held high positions under the Confederacy.

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  • They occur in particular in relation with the orifice of the zooecium, and with that of the compensation-sac. This delicate structure is frequently guarded by an avicularium at its entrance, while avicularia are also commonly found on either side of the operculum or in other positions close to that structure.

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  • Many members of the upper, that is, the best-educated, class have filled official positions of great responsibility.

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  • For two days the hostile fleets manoeuvred for positions, and then they were dispersed by a severe storm.

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  • There is no doubt that Swedenborg anticipated many scientific facts and positions that are usually regarded as of much more modern date.

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  • above the city and is now very strongly fortified, as are various other positions near Trent giving access to Trent from the east (Val Sugana) or the west (valley of the Sarca).

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  • But the actual doctrine taught by Massenbach, who was now a colonel, may be summarized as the doctrine of positions carried to a ludicrous excess; the claims put forward for the general staff, that it was to prepare cut-anddried plans of operations in peace which were to be imposed on the troop leaders in war, were derided by the responsible generals; and the memoirs on proposed plans of campaign to suit certain political combinations were worked out in quite unnecessary detail.

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  • The first edition of his Lehrbuch des christlichen Glaubens (1828) was freely characterized as lacking in consistency and as detracting from the strength of the old positions in many important points.

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  • The conquered in many cases could be left as serfs and tillers of the soil, while the conquerors seized the higher positions of administration and power.

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  • Though this was intended as a barrier against Calvinistic influences, certain Reformed writers, as well as Roman Catholics, persisted in claiming the support of the Greek Church for sundry of their own positions.

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  • Army would maintain the positions occupied during the 13th, and merely passed on these orders to his corps commanders.

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  • Then the wearied troops, for the most part, lay down and slept in the positions they had reached.

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  • the corps had reached the following positions: VIII.

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  • The French infantry ran to their arms, piled along the front of their positions, and moved forward to attack, covering their advance by a hail of bullets.

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  • The positions were fortified with a light outpost line, behind which was drawn a main position on which every art of the engineer was expended.

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  • 31) the positions of von Manteuffel's command (I.

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  • By driving eastward from Arras, covered on the left by the rivers Scarpe and Sensee, the First Army would endeavour to turn the enemy's positions on the Somme battlefield and cut his system of railway communications which ran south-westward across their front."

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  • Corps, and the Canadians completed the capture of the remaining German positions W.

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  • In order to obtain observation and jumping-off ground for the attack on the main Hindenburg system it was necessary to clear the enemy from the positions still held by him forward of this line.

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  • was held up in front of Gouzeaucourt, and a series of further minor attacks on the succeeding days proved necessary before the positions required for the general offensive against the main Hindenburg line were completely secured along the whole front of the Third Army.

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  • - The Hindenburg line, which now faced the British armies, has been described in detail elsewhere; it will therefore suffice to say here that, together with the Ma.snieres-Beaurevoir line beyond it, it formed a fortified belt some four to six miles in depth, and was in all respects one of the most formidable defensive positions known to history.

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  • In view of the fact that the First and Third British Armies were faced with strong positions in the Canal du Nord and the Scheldt canal, which it was advisable to carry prior to the general attack on the Hindenburg line behind the latter obstacle, it was decided that these two armies should open their operations a day earlier than the Fourth Army, so as to draw off the German reserves from the front of that army, which had to deliver the main attack and was faced with the most formidable defences.

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  • The positions held by them were formidable to a degree; the Canal du Nord, although not completed along all its length, was some ioo ft.

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  • of the canal the Germans had as successive defensive positions the Marquion trench line, running from Oisy by Marquion to the main Hindenburg line near Graincourt; the Marcoing line, covering Cambrai at a distance of some two miles from its outskirts; and the Scheldt canal, from the Sensee at Estrun by the western suburbs of the city to Marcoing, Creveceeur and the south.

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  • While the infantry pressed forward to carry the Marquion line bridges were swiftly thrown over the dry canal bed, and batteries went over at a gallop to take up their positions for supporting the farther advance.

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  • It was useful as marking definitely the boundary of the Roman sway, and as assuring the Romans that no inroad could be made without intelligence being had of it beforehand, while the limes itself and the system of roads behind it enabled troops to be directed rapidly to any threatened point, and the fortified positions could be held against large numbers till reinforcements arrived.

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  • Rome thus obtained mastery of the most important positions lying on the great trade routes between East and West.

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  • In the meantime, however, he printed a volume of his Rugby sermons, to show definitely what his own religious positions were.

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  • Complete rotation of the head is obviously impossible because of the interference of the declination axis with the rods, and therefore, in some angles, objects cannot be measured in two positions of the circle.

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  • It permits complete rotation of the tube and measurement of all angles in reversed positions of the circle; the handles that move the slides can be brought down to the eye-end, inside the tube, and consequently made to rotate with it; and the position circle may be placed at the end of the cradle next the eyeend where it is convenient of access.

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  • The hour circle is also read by microscopes, and the instrument can be used in both positions (tube preceding and following) for elimination of the effect of flexure on the position angles.

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  • But by rotating the prism 90° the image is presented entirely reversed to the eye, so that in the mean of measures made in two such positions personal error is eliminated.

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  • Such is a brief summary of the principal positions of Bruno's philosophy.

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  • In Koepe's method the drum is replaced by a disk with a grooved rim for the rope, which passes from the top of one cage over the guide pulley, round the disk, and back over the second guide to the second cage, and a tail rope, passing round a pulley at the bottom of the shaft, connects the bottoms of the cages, so that the dead weight of cage, tubs and rope is completely counterbalanced at all positions of the cages, and the work of the engine is confined to the useful weight of coal raised.

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  • The addresses on the idea of a true war (Ober den Begriff eines wahrhaften Kriegs, forming part of the Staatslehre) contain a very subtle contrast between the positions of France and Germany in the war.

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  • Thus the molecules of a solid must make only small excursions about their mean positions.

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  • When the molecules are oscillating about their equilibrium positions, there is no reason why their mean distance apart should be the same as when they are at rest.

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  • As the temperature of a body increases the average energy of the molecules will increase, and therefore the range of their excursions from their positions of equilibrium will increase also.

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  • When the body is in this state the relative positions of the molecules are not permanently fixed, so that the body is no longer of unalterable shape: it has, assumed a plastic or molten condition.

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  • Now if the atoms are regarded as points or spherical bodies oscillating about positions of equilibrium, the value of n+3 is precisely six, for we can express the energy of the atom in the form (9 2 v a 2 v a2v E = z(mu 2 +mv 2 +mw 2 +x 2 ax2 + y2ay2-fz2az2), where V is the potential and x, y, z are the displacements of the atom referred to a certain set of orthogonal axes.

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  • His Positions to be examined concerning National Wealth (1769) shows that he was greatly influenced by the French physiocrats after his visit to France in 1767.

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  • Like Andreas Carlstadt, he was at first a leading exponent of the older type of scholastic theology, but under the influence of Luther abandoned his Aristotelian positions for a theology based on the Augustinian doctrine of grace.

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  • These conditions they themselves said were liberal, nor could they have ventured to assume their old positions throughout Uganda.

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  • Both pope and king were naturally anxious to place their own friends and supporters in these influential positions.

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  • Their refutation of the Protestant positions seemed needlessly sharp to the emperor, and five drafts were made of it.

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  • Natives heavily predominated in agriculture and the professions, slightly in trade, and held barely more than half of all governmental positions; but in transportation, personal service, manufactures, labour and domestic service, the predominance of the foreign element warranted the assertion of the state Bureau of Statistics of Labour that " the strong industrial condition of Massachusetts has been secured and is held not by the labour of what is called the 'native stock,' but by that of the immigrants."

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  • Women are eligible for these positions, and among the teachers in the schools they are greatly in excess over men (more than 10 to 1), especially in lower grades.

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  • In the first example, which was erected on the quay at Newcastle in 1846, the necessary pressure was obtained from the ordinary water mains of the town; but the merits and advantages of the device soon became widely appreciated, and a demand arose for the erection of cranes in positions where the pressure afforded by the mains was insufficient.

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  • As a churchman he is typically Anglican, equally removed from the Puritan and the Roman positions.

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  • Basil had them carefully educated at the monastery of Studion, and afterwards advanced them to high official positions.

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  • Men are defining and protecting the positions they have inherited; they do not think of progress.

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  • As governor Cleveland's course was marked by the sterling qualities that he had displayed in his other public positions.

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  • Marshal Soult was appointed chief of the staff, a post for which he possessed very few qualifications; and, when the campaign began, command of the left and right wings had perforce to be given to the only two marshals available, Ney and Grouchy, who did not possess the ability or strategic skill necessary for such positions.

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  • Let KA and LB be the positions of NP corresponding to the extreme values of x.

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  • This is a particular case of a general theorem, due to Gauss, that, if u is an algebraical function of x of degree 2p or 2p + I, the area can be expressed in terms of p -}- i ordinates taken in suitable positions.

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  • 21-25 the Turkish armies commanded by Abdulla Pasha were driven back in confusion and retired to positions passing through Bunar Hissar and Lule Burgas to the railway.

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  • The storming of their favourite positions - stockades strengthened with rifle-pits - was often costly; and a strange anti-Christian fanaticism, the Hau-Hau cult, encouraged them to face the white men's bullets and bayonets.

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  • It was not, however, to the imperial favour that he owed these high positions.

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  • Several traditional positions have indeed been approximately maintained or reconquered against the critics.

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  • the upper part, moving faster, gains on the lower, and the front tends to swing round as shown by the successive positions in.

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  • Consequently a wave front such as b 1 tends to turn upwards, as shown in the successive positions b 2, 3 and 4.

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  • Since the velocity increases as we go upwards the front tends to swing round and travel downwards, as shown in the successive positions a I, 2, 3 and 4, in fig.

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  • Then the front tends to swing round and travel upwards as shown in the successive positions b I, 2, 3, and 4, in fig.

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  • Let us suppose that he notes the positions of two of these next to each other in the beat of the pendulum one way.

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  • If the fork makes exactly 32 vibrations and the wheel 8 revolutions in one pendulum beat, then the positions will be fixed, and every two seconds, the time of a complete pendulum vibration, he will see the two positions looked at flash out in succession at an interval of a second.

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  • If a tuning-fork in vibration be turned round before the ear, four positions will be found in which A B it will be inaudible, owing to the mutual interference FIG.

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  • On interposing the hand between the ear and either prong of the fork when in one of those positions, the sound becomes audible, because then one of the two interfering waves is cut off from the ear.

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

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  • After he had minutely arranged the Eastern Detachment in a series of rearguard positions, so that each fraction of it could contribute a little to the game of delaying the enemy before retiring on the positions next in rear, the commander of the detachment, Zasulich, told him that " it was not the custom of a knight of the order of St George to retreat," and Kuropatkin did not use his authority to recall the general, who, whether competent or not, obviously misunderstood his mission.

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  • The points of passage were commanded by high ground a little farther up where the valleys definitely diverge, and beyond the flank of the ill-concealed positions of the defence.

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  • The subsidiary protective forces on either flank of Zasulich had promptly abandoned their look-out positions and fallen back to join him.

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  • His policy now was to retire on Liao-Yang as slowly as possible and to defend himself in a series of concentric prepared positions.

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  • Every attempt to bring up supports to the captured positions failed, and the Russians concentrated on the spot from all quarters.

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  • On the night of the 23rd-24th, just as the assault was being renewed, Stessel delivered a fierce counter-attack against the lost positions, and the result of an all-night battle was that though the forts were not recaptured, the assault was repulsed with over 5000 casualties, and the Japanese in Pan-Lung were isolated.

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  • Putilov and Novgorod hills, south of the Sha-ho, were stormed by the Russians, and the Japanese made several efforts to retake these positions without success.

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  • The positions of the rival armies from the 18th of October, the close of the battle of the Sha-ho, to the 26th of January 1905, the opening of the battle of Sandepu (Heikoutai)- a period almost entirely devoid of incident - may be described by the old-fashioned term " winter quarters."

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  • In January 1905, apart from Mishchenko's cavalry raid 'rear ' Russian Japanese Railways of Oyama's forces (January 8th-16th) the only change in the relative positions of Oyama and Kuropatkin as they stood after the battle of the Sha-ho was that the Japanese had extended somewhat westwards towards the Hun-ho.

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  • Both sides stood fast in the old positions up to the verge of the last and greatest battle.

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  • 30 the rest of the line severe local fighting had continued, but the Russian positions were quite unshaken, and Kuropatkin's reserves - which would have been invaluable in backing up the counter-attack of the 2nd of March - had returned to face Nogi.

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  • The circle was complete, but there were no Russians in the centre, and a map of the positions of the Japanese on the evening of the 10th shows the seventeen divisions thoroughly mixed up and pointing in every direction but that of the enemy.

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  • A county board of education examines applicants for teachers' positions and pupils applying to enter high schools.

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  • The annual reports, of which he was the chief author, became controversial pamphlets; he published bold replies to criticisms upon the work of the Commission; he explained its purposes to newspaper correspondents; when Congress refused to appropriate the amount which he believed essential for the work, he made the necessary economies by abandoning examinations of candidates for the Civil Service in those districts whose representatives in Congress had voted to reduce the appropriation, thus very shrewdly bringing their adverse vote into disfavour among their own constituents; and during the six years of his commissionership more than twenty thousand positions for government employes were taken out of the realm of merely political appointment and added to the classified service to be obtained and retained for merit only.

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  • By personal detective work, that is, by visiting police stations at unexpected times and by making the rounds at night of disorderly places which were suspected of violating the law, he not only displayed personal courage in positions of some danger, but aroused public opinion.

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  • To some of his critics these two positions seem inconsistent.

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  • Now it is well understood that in many positions this system is the simplest and most economical method of bridging.

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  • occur in storms annually in many localities, and that occasionally higher pressures are recorded in exposed positions.

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  • Repeating the process for other positions, we get the influence line Aghb, for the shear at C due to unit load anywhere on the girder.

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  • Both the higher and the provincial administrations were thoroughly reformed with the view of making them more centralized and efficient; and the positions and duties of the various magistrates, who now also received fixed salaries, were for the first time exactly defined.

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  • They called attention to the fact that the Germans in earlier days were deaf to such requests; they saw in them a " dismemberment of the country," and asserted that in the central public departments of Vienna, too, the Czechs did not occupy a number of official positions in proportion to their population.

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  • BEAUHARNAIS, the name of a French family, well known from the t5th century onward in Orleanais, where its members occupied honourable positions.

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  • Lord Melbourne ascertained that the queen's dis- The positions towards her cousin, Prince Albert, were un- queen's changed, and he advised King Leopold, through M.

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  • On the whole, however, he modified the positions of the founder of the Tubingen school, going beyond him only in his investigations into the Fourth Gospel.

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  • The first investigates mathematical facts relating to the earth as a whole, its figure, dimensions, motions, their measurement, &c. The second part considers the earth as affected by the sun and stars, climates, seasons, the difference of apparent time at different places, variations in the length of the day, &c. The third part treats briefly of the actual divisions of_the surface of the earth, their relative positions, globe and map-construction, longitude, navigation, &c. Varenius, with the materials at his command, dealt with the subject in a truly philosophic spirit; and his work long held its position as the best treatise in existence on scientific and comparative geography.

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  • He filled other important positions, served Edward III.

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  • Born at Baltimore on the 9th of June 1851 and educated at Harvard University, he became a lawyer in 1874 and has been president of the National Municipal League and has filled other public positions.

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  • 163) maintains that "he was himself not a Pietist," as he did not advocate the quietistic, legalistic and semi-separatist practices of Pietism, though they were more or less involved in the positions he assumed or the practices which he encouraged or connived at.

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  • With the respective and relative positions in the zodiac of the sun, moon and planets, the character of their action 1 Whitney, Notes to Surya-Siddhanta, p. zoo.

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  • It was then, too, that his most celebrated production, the Discourses concerning Government, was concluded, in which he upholds the doctrine of the mutual compact and traverses the High Tory positions from end to end.

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  • In Surakarta and Jokjakarta in Java, and in many parts of the Outposts, native princes preserve their positions as vassals; they have limited power, and act generally under the supervision of a Dutch official.

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  • The view that our knowledge in such cases may be completely represented by means of laws of action at a distance, expressible in terms of the positions (and possibly motions) of the interacting bodies without taking any heed of the intervening space, belongs to modern times.

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  • If material systems are constituted of discrete atoms, separated from each other by many times the diameter of any of them, this simple plan of exhibiting their interactions in terms of direct forces between them would indeed be exact enough to apply to a wide range of questions, provided we could be certain that the laws of the forces depended only on the positions and not also on the motions of the atoms. The most important example of its successful application has been the theory of capillary action elaborated by P. S.

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  • Baur has had tremendous influence, even though many of his positions have been generally discredited.

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  • In the chief sanctuaries the chief priests possessed special privileges, and it is probable that those in the immediate entourage of the king were elected to these positions.

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  • The medusa has a pronounced radial symmetry, and the positions of the primary tentacles, usually four in number, mark out the so-called radii, alternating with which are four interradii.

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  • But these Polish officials made use of their positions to aid their countrymen, and were grasping and corrupt with patriotic intentions.

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  • The principles of international law he reduces to those of the law of nature, and combats, in so doing, many of the positions taken up by Grotius.

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  • Ascham's influence is apparent in the Positions of Mulcaster, who in 1581 insists on instruction in English before admission to a grammar-school, while he is distinctly in advance of his age in urging the foundation of a special college for the training of teachers.

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  • QUINONES, in organic chemistry, a group of compounds in which two hydrogen atoms of a benzene nucleus are replaced by two oxygen atoms. This replacement may take place either in the ortho or para positions, giving rise to orthoquinones or to paraquinones; metaquinones do not appear to have been isolated.

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  • Buell's successor retained the positions about Nashville, whilst a new Army of the Ohio prepared to operate in east Tennessee.

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  • Inherent in this view of religious development and the new critical position were far-reaching changes in the literary, historical and religious criticism of the Old Testament: these have been gradually rendered clear as the fundamental positions on which they rest have been secured by the manifold work of two generations of scholars.

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  • Other important works in which English and American scholars have co-operated are the Encyclopaedia Biblica (1899-1903) and Hastings' Bible Dictionary (1898-1904) - the latter less radical, but yet on the whole based on acceptance of the fundamental positions of Vatke, Graf, Wellhausen.

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  • Two positions are possible: (1) We may defend a text based on the best existing Greek MSS.

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  • In the ensuing account a constant repetition of the names of the main archipelagoes will be found; it may of course be assumed that each successive voyager added something to the knowledge of them, but on the other hand, as has been said, islands were often rediscovered and renamed in cases where later voyagers took no account of the work of their predecessors, or where the earlier voyagers were unable clearly to define the positions of their discoveries.

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  • At the close of a day of victory he was reconnoitring the hostile positions when suddenly the Confederate outposts opened fire upon his staff, whom they mistook in the dark and tangled forest for Federal cavalry.

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  • When Neoplatonism appeared, the Christian church had already laid down the main positions of her theology; or if not, she worked them out alongside of Neoplatonism - that is not a mere accident - but still independently.

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  • Bailey, was accordingly despatched (1889), and the meridian photometer erected successively in three different positions on the slopes of the Andes.

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  • Vercingetorix saw that Caesar could not be met in open battle, and determined to concentrate his forces in a few strong positions.

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  • The question has been hotly debated whether, in addition to these six grades, there be not a seventh answering in some degree to the tertiaries of the Franciscan and Dominican orders, but secretly affiliated to the Society and acting as its emissaries in various lay positions.

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  • Since about 1866, spurred on by the consciousness that one of their own race, Benito Juarez, had risen to the highest positions in the gift of the country, they have taken greater interest in public affairs and are.

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  • Among the pure whites - who were practically all of Spanish extraction - there were two well-defined classes, the Gachupines or chapetones, Spaniards born in Europe, said, to be so named in allusion to their spurs, from Aztec words meaning " prickers with the foot," and the native-born or creoles: the former, though a small minority, had almost all the higher positions both in the public services and in commerce.

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  • The Anabaptists claimed Oecolampadius for their views, but in a disputation with them he dissociated himself from most of their positions.

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  • Sellmeier adopted the elastic-solid theory of the ether, and imagined the molecules to be attached to the ether surrounding them, but free to vibrate about their mean positions within a limited range.

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  • On the constitution of Dublin as a county borough in 1898, the positions and duties of its corporation were left practically unaltered.

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  • In the first two of these positions, the formations show by their fossils that they are of terrestrial origin in some places, and partly of terrestrial and partly of marine origin in others.

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  • The city councils pass local ordinances, vote appropriations, levy taxes and generally exert some control over appointments to administrative positions.

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  • The civil service commission, established in 1883, conducts competitive examinations for appointments to subordinafe positions under all of the administrative departments.

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  • 7), so that its adoption should be restricted to positions where the conditions are quite exceptional.

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  • The respective positions taken up by the two govern.

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  • Labrosse in Positions des theses de l'Ecole des Chartes (1906).

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  • (6) Diagram to show the positions of the nerve-ganglia, heart and nephridia.

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  • Moreover, he ordered that "no officer should be required or permitted to take part in the management of political organizations, caucuses, conventions or election campaigns," and that "no assessment for political purposes on officers or subordinates should be allowed"; and he removed from their offices the heads of the post-office in St Louis and of the customhouse in New York - influential party managers - on the ground that they had misused their official positions for partisan ends.

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  • The deeper spiritual intuition, present from the first, was only brought into clear relief in order to meet difficulties in the earlier statements, and the extension of the intuition itself beyond the limits of our own consciousness, which completely removes his position from mere subjectivism, rests on foundations uncritically assumed, and at first sight irreconcilable with certain positions of his system.

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  • Crowding of positions must now be guarded against, to prevent the spinning of double cocoons (doupions) by two worms spinning together and so interlacing their threads that they can only be reeled for a coarser and inferior thread.

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  • the angle between the March and September positions, being 40".

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  • This motion is evidently not due to parallax, for, in this case, the maximum range should be between the June and December positions; neither was it due to observational errors.

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  • the north and south poles occupy permanent geographical positions, yet the axis is not directed towards a fixed point in the heavens; variation of latitude, however, is associated with the shifting of the axis within the earth, i.e.

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  • Bradley had already perceived, in the case of the two stars previously scrutinized, that the apparent difference of declination from the maximum positions was nearly proportional to the sun's distance from the equinoctial points; and he realized the necessity for more observations before any generalization could be attempted.

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  • His conclusions may be thus summarized: (r) only stars near the solstitial colure had their maximum north and south positions when the sun was near the equinoxes, (2) each star was at its maximum positions when it passed the zenith at six o'clock morning and evening (this he afterwards showed to be inaccurate, and found the greatest change in declination to be proportional to the latitude of the star), (3) the apparent motions of all stars at about the same time was in the same direction.

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  • The difficulty that a number of spectroscopic lines seem to involve at least an equal number of electrons may be got over by imagining that the atom may present several positions of equilibrium to the electron, which it may occupy in turn.

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  • A collision may be able to throw the electrons from one of these positions to another.

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  • Kantism consists of four main positions, which it will be well to lay out, as follows: a.

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  • They rightly revolted against the inconsistencies of Kant's third and fourth positions about the existence of unknown but postulated things in themselves, hidden from theoretical, but revealed to practical, reason.

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  • But while he was in fundamental agreement with the first two positions of Kant, he differed from the third; he did not believe that the causes of sensible phenomena can be unknown things in themselves.

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  • So far it is in general agreement not only with Hume, but also with Kant in his first two positions.

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  • Lange thus transmuted inconsistent Kantism into a consistent Neo-Kantism, consisting of these reformed positions: (1) we start with sensations in a priori forms; (2) all things known from these data are mental phenomena of experience; (3) everything beyond is idea, without any corresponding reality being knowable.

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  • He accepts the Kantian positions that unity of consciousness combines sensations by a priori synthesis, and that therefore all that natural science knows about matter moving in space is merely phenomena of outer sense; and he agrees with Kant that from these data we could not infer things in themselves by reason.

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  • Wundt founds his whole philosophy on four psychological positions: his phenomenalistic theory of unitary experience, his voluntarism, his actualistic theory of soul, and his psychological theory of parallelism.

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  • They are positions also which deeply affect, not only the psychological, but also the metaphysical idealisms of our time, in Germany, and in the whole civilized world.

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  • With these four positions in hand, Wundt's philosophy consecutively follows, beginning with his psychology.

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  • From this fact of unity of Nature and of everything in Nature, combined with the two previous positions accepted, not from Nature, but from Kant, Green proceeded to argue, altogether beyond Kant, that Nature, being one, and also requiring unifying intelligence, requires one intelligence, an eternal intelligence, a single spiritual principle, prior to, and the condition of, our individual knowledge.

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  • The method of conquest was the establishment of small detached forts in strategic positions, each garrisoned by 500 or 1000 men, and it was accompanied by a full share of those disasters which vigorous barbarians always inflict on civilized invaders.

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  • If an iron ship be swung when upright for deviation, and the mean horizontal and vertical magnetic forces at the compass positions be also observed in different parts of the world, mathematical analysis shows that the deviations are caused partly by the permanent magnetism of hard iron, partly by the transient induced magnetism of soft iron both horizontal and vertical, and in a lesser degree by iron which is neither magnetically hard nor soft, but which becomes magnetized in the same manner as hard iron, though it gradually loses its magnetism on change of conditions, as, for example, in the case of a ship, repaired and hammered in dock, steaming in an opposite direction at sea.

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  • The superintendent, who is a naval officer, has to investigate the magnetic character of the ships, to point out the most suitable positions for the compasses when a ship is designed, and subsequently to keep himself informed of their behaviour from the tin g e of the ship's first trial.

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  • im Jahre 1112 (Erfurt, 1877); and the excellent " Etude des relations entre le Saint-Siege et le royaume de France de 1099 a 1108," published by Bernard Monod in the Positions des theses des eleves de l'Ecole des Chartes (1904): The Bullarium of Calixtus II.

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  • The child-labour law of 1909 forbids the employment of children under eighteen years of age in blast furnaces, tanneries, quarries, in managing elevator lifts or hoisting machines, in oiling dangerous machinery while in motion, at switch tending, as brakesmen, firemen, engineers, motormen and in other positions of similar character.

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  • The cloister is duly placed on the south side of the church, and the chief buildings occupy their usual positions round it.

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  • With the completion of this work, which in 1908 was being rapidly pushed on, Antwerp might be regarded as one of the best fortified positions in Europe, and so long as its communications by sea are preserved intact it will be practically impregnable.

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  • 18 R.V.) which has at various times been shown in different positions from 4 to 2 m.

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  • These positions, though Grotius's religious temper did not allow him to rely unreservedly upon them, yet, even in the partial application they find in his book, entitle him to the honour of being held the founder of the modern science of the law of nature and nations.

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  • The main tube must be accurately machined as it has to be readily trained in its stuffing-box as well as be water-tight in all positions, through a considerable range of vertical travel.

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  • Upon a table covered by a cloth lay two books in the relative positions shown in figure.

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  • It is, indeed, estimated that such positions enjoy an increased temperature equal to 7° of latitude - that is to say, the mean temperature within a few inches of the wall is equal to the mean temperature of the open plain 7° farther south.

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  • 7), the most elegant and ornamental form, is especially adapted for isolated positions; indeed, no other form affords so much roof space for the development of the vines.

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  • If the shoots produced are not sufficient in number, or are badly placed, or very unequal in vigour, the head should be cut back moderately close, leaving a few inches only of the young shoots, which should be pruned back to buds so placed as to furnish shoots in the positions desired.

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  • What is called training is the guiding of the branches of a tree or plant in certain positions which they would not naturally assume, the object being partly to secure their full exposure to light, and partly to regulate the flow and distribution of the sap. To secure the former object, the branches must be so fixed as to shade each other as little as possible; and to realize the second, the branches must have given to them an upward or downward direction, as they may require to be encouraged or repressed.

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  • Transfer chrysanthemums to sheltered positions out of doors, and provide means of protecting them from frost and cutting winds.

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  • Bedding plants should be placed to harden in sheltered positions out of doors towards end of month.

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  • Plant out capsicums and tomatoes in sunny positions, and stake and tie securely.

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  • In all other positions A, B, C and D are completely disconnected from each other.

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  • After occupying several minor positions, he returned to Paris in 1875 as professor of the Lycee Henli IV., and in 1880 he became docteur-es-lettres.

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

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  • Meyer (Ber., 18 94, 2 7, p. 510 et seq.) showed that in benzenoid compounds ortho-substituents exert a great hindering effect on the esterification of alcohols by acids in the presence of hydrochloric acid, this hindering being particularly marked when two substituents are present in the ortho positions to the carboxyl group. In such a case the ester is best prepared by the action of an alkyl halide on the silver salt of the acid, and when once prepared, can only be hydrolysed with great difficulty.

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  • The defence of Belgium depends on five fortified positions.

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  • Termor de on the Scheldt and Diest on the Dender are retained as nominally fortified positions, but neither could resist a regular bombardment for more than a few hours, as their casemates are not bomb-proof.

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  • Leaves occupy various positions on the stem and branches, and have received different names according to their situation.

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  • 3 were obtained from the readings of a number of platinum thermometers buried in undisturbed soil in horizontal positions at M`Gill College, Montreal.

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  • He did not scruple, in the ardour of conflict, even to maintain positions that he had resigned in the translation, and he was not afraid to assume the offensive by a counter criticism of three of Wallis's works then published.

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  • He now attacked more in detail but not more happily than before Wallis's great work, while hardly attempting any further defence of his own positions; also he repelled with some force and dignity the insults that had been heaped upon him, and fought the verbal points, but could not leave the field without making political insinuations against his adversary, quite irrelevant in themselves and only noteworthy as evidence of his own resignation to Cromwell's rule.

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  • Wallis having meanwhile published other works and especially a comprehensive treatise on the general principles of calculus (Mathesis universalis, 1657), he might take this occasion of exposing afresh the new-fangled methods of mathematical analysis and reasserting his own earlier positions.

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  • "It is thought by many that he has succeeded in discovering the via media between the positions of Biblical scholars like Delitzsch on the one hand and Stade on the other" (Prof. A.

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  • Surveying these positions, we shall not be astonished to find much that is surprising and some things that are contradictory in Pascal's utterances on "les grands sujets."

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  • Cairoli was one of the most conspicuous representatives of that type of Italian public men who, having conspired and fought for a generation in the cause of national unity, were despite their valour little fitted for the responsible parliamentary and official positions they subsequently attained; and who by their ignorance of foreign affairs and of internal administration unwittingly impeded the political development of their country.

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  • In these debates Douglas, the champion of his party, was over-matched in clearness and force of reasoning, and lacked the great moral earnestness of his opponent; but he dexterously extricated himself time and again from difficult argumentative positions, and retained sufficient support to win the immediate prize.

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  • From 1899, however, Germany began to pay more attention to her fixed defences, and in the next years a long line of fortifications came into existence on the French frontier, ~he positions and strength of which were regulated with special regard to a new strategic disposition of the field armies and to the number and sites of the strategic railway stations which were constr.ucted about the same time.

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  • Two positions on which he repeatedly insisted have taken a firm hold - first, that it is of the essence of a church to be comprehensive of various views and tendencies, and that a national church especially should seek to represent all the elements of the life of the nation; secondly, that subscription to a creed can bind no one to all its details, but only to the sum and substance, or the spirit, of the symbol.

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  • The problems discussed under this fictitious guise are with rare exceptions fundamental problems for every age; and, whatever may be thought of the positions maintained, the discussions are hardly ever feeble or trivial.

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  • His removal to Heidelberg and the publication of his first important work, Die Anfange der christlichen Kirche and ihrer Verfassung (1837), coincide with the attainment of the principal theological positions with which his name is associated.

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  • The relative frequency in the two positions seems to vary with the hour, the type of aurora, probably with the season of the year, and possibly with the position of the year in the sun-spot cycle.

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  • Many of the auroral lines seen in any single aurora are exceedingly faint, so that even their relative positions are difficult to settle with high precision.

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  • C. t is on selection of sites; c. 2 on the planning of buildings to suit different sites; c. 3 on private houses, their construction and styles, the names of the different apartments; c. 4 on the aspects suited for the various rooms; c. 5 on buildings fitted for special positions; c. 6 on farms and country houses; c. 7 on Greek houses and the names of various parts; c. 8 on construction of houses in wood, stone, brick or concrete.

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  • The rate of denudation in exposed positions is exceedingly rapid; while spots sheltered from the sand blast suffer a minimum of erosion, as shown by the preservation of ancient inscriptions.

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  • of the 1st infantry brigade had three British mounted officers, Turks and Egyptians holding the corresponding positions in the battalions of the 2nd Brigade.

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  • In the service of the Theban Ammon two priestesses called the Adorer of the God and the Wife of the God occupied very influential positions, and towards the Saite period it was by no means unusual for the king to secure these offices for his daughters and so to strengthen his own royal title.

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  • It is strange that in the midst of these persecui~ions he continued to employ Christians in high official positions.

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    0
  • The inflammatory writing of the newspapers indicated, encouraged by many persons holding high positions both inside and outside Egypt, created, by every process of misrepresentation, an anti-Christian and anti-European feeling among the mass of the people.

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  • Again, from different points of the cortex the assunIption of the requisite positions of the tongue, lips, cheeks, palate and epiglottis, as components in the act of sucking, can be provoked singly.

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  • With certain of these it stands associated most closely, namely, with the vestibular, representing the sense organs which furnish data for appreciation of positions and movements of the head, and with the channels, conveying centripetal impressions from the apparatus of skeletal movement.

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  • 34 f., where the relative positions of the contents of the Tabernacle are defined: further, the ritual of the Day of Atonement (Lev.

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  • She exercised over him that influence which a stronger character always exercises over a weaker, whatever their respective positions; and unfortunately it was seldom a good influence, for Theodora (q.v.) seems to have been a woman who, with all her brilliant gifts of intelligence and manner, had no principles and no pity.

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  • Their aims, inspired by their admiration for English institutions, were far in advance of the possibilities of the time, and even after they had been raised to regular ministerial positions but little of their programme could be realized.

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  • Ordinary mortar failed in such positions; mortar made from lime prepared from limestones or chalks containing a little clay was found to stand; mortar made from lime mixed with trass or similar active silicious material was also found to stand.

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  • He never attained entire independence of Luther, though he gradually modified some of his positions from those of the pure Lutherism with which he set out.

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  • As a strategical centre Jalalabad is one of the most important positions in Afghanistan, for it dominates the entrances to the Laghman and the Kunar valleys; commanding routes to Chitral or India north of the Khyber, as well as the Kabul-Peshawar road.

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  • A few lads in positions similar to his own began to look up to him as an intellectual leader, and their correspondence with him shows remarkable interest in literary matters.

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  • In these positions he acquired a great reputation as a firm and skilful diplomatist, and on the retirement of Count Kalnoky in May 1895 was chosen to succeed him as Austro-Hungarian minister for foreign affairs.

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  • But the right wing, not as yet attacked, either by Soimonov or by Pavlov, held on to its positions on the forward slope, and a column of Russian sailors and marines, .who had been placed under Soimonov's command and had moved up the Careenage Ravine to turn the British left, were caught, just as they emerged on to the plateau in rear of Pennefather's line, between two bodies of British troops hurrying to the scene of action.

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  • This post he held till his death, though offers of more lucrative positions were made to him.

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  • Commerce between East and West had from early times followed this route in preference to that of the Red Sea, and when during the 15th century Genoa and Venice successively lost their positions in Oriental commerce, through the capture of Constantinople by the Turks and by the hostility of the Mamelukes of Egypt respectively, the country which most earnestly devoted itself to the quest of a new way to India was Portugal.

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  • The two forms have long and short styles repectively, the stamens occupying corresponding positions half-way down or at the mouth of the corolla-tube; the long-styled flowers have smaller pollen-grains, which correspond with smaller stigmatic papillae on the short styles.

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  • Luther's friends had been provokingly silent about the Theses; but in April 1518, at the annual chapter of the Augustinian Eremites held at Heidelberg, Luther heard his positions temperately discussed, and found somewhat to his astonishment that his views were not acceptable to all his fellow monks.

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  • He carefully considered his positions, found them unassailable, and published his Resolutions, the most carefully written of all his works.

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  • It may be interesting to mention, as an illustration of their heterogeneousness, that early in the 20th century a list of no less than fifty languages, spoken in Jerusalem as vernaculars, was there drawn up by a party of men whose various official positions enabled them to possess accurate information on the subject.1 It is therefore no easy task to write concisely and at the same time with sufficient fullness on the ethnology of Palestine.

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  • The history of the past is viewed from rather different positions which, on the whole, are subsequent to the relatively recent changes that gave birth to new organizations in Samaria and Judah.

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  • Consequently, in addition to the ordinary requirements of historical criticism, biblical study has to take into account the intricate composite character of the sources and the background of these positions.

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  • Thus a hollow was left, corresponding to the skin of wax between the core and the mould, the relative positions of which were preserved by various small rods of bronze, which had previously been driven through from the outer mould to the rough core.

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  • He was soon allowed to hold other although less exalted positions in England, and in 1374 he was elected archbishop of Canterbury for the second time; but he withdrew his claim and died at Avignon on the 22nd of July 1376.

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  • He obtained many important and wealthy ecclesiastical positions, was made treasurer of England in 1279, and became bishop of St David's in 1280.

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  • Sir Donald Stewart's force, marching up through Baluchistan by the Bolan Pass, entered Kandahar with little or no resistance; while another army passed through the Khyber Pass and took up positions at Jalalabad and other places on the direct road to Kabul.

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  • In the course of the next six months there was much desultory skirmishing between the tribes and the British troops, who defeated various attempts to dislodge them from the positions that had been taken up; but the sphere of British military operations was not materially extended.

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  • Hence the following paragraphs, while they will resume and affirm his principal results, will qualify and impugn some of his positions.

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  • Pointing out that the sophists of that dialogue " profess Eis ap€riffs E7rt,u XELav 7rporpNiaL by means of dialogue," that ' they challenge the interlocutor inr w Xoyov," that " their examples are drawn from common objects and vulgar trades," that " they maintain positions that we know to have been held by Megarians and Cynics," he infers that " what we have here presented to us as ' sophistic ' is neither more nor less than a caricature of the Megarian logic "; and further, on the ground that " the whole conception of Socrates and his effect on his contemporaries, as all authorities combine to represent it, requires us to assume that his manner of discourse was quite novel, that no one before had systematically attempted to show men their ignorance of what they believed themselves to know," he is " disposed to think that the art of disputation which is ascribed to sophists in the Euthydemus and the Sophistes (and exhaustively analysed by Aristotle in the HEpi originated entirely with Socrates, and that he is altogether responsible for the form at least of this second species of sophistic."

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  • He had transferred much territory to chiefs and confederacies devoted to his cause; every petty court had its Greek faction; and the detachments which he left behind at various positions, from the Afghan frontier to the Beas, and from near the base of the Himalaya to the Sind delta, were visible pledges of his return.

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  • preserve their relative positions to each other.

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  • The telescope is moved in right ascension and declination by electric motors controlled from positions convenient for the observer.

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  • Old laws, customs and immunities were ruthlessly swept away, the people were ground down with taxes, and the highest positions and finest estates conferred on French and Provençal nobles.

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  • The old divisions of nobility, clergy and people were a maintained and their mutual rivalry encouraged; the nobles were won over by titles and by the splendour of the viceregal court, but many persons of low birth who showed talent were raised to high positions.

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  • Foote proceeded against these positions; New Madrid, then in command of General John P. McGown, was evacuated on the 14th; (Admiral) Henry Walke (1808-1896), commanding the "Carondelet," ran past the batteries of Island No.

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  • The favouritism and corruption that honeycombed the civil service of Spain frequently resulted in placing in responsible positions persons who were entirely unfit.

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  • In a number of cases measures of the relative positions of the two stars, continued for many years, have shown that they are revolving about a common centre; when this is so there can be no doubt that they form a binary system, and that the two components move in elliptic orbits about the common centre of mass, controlled by their mutual gravitation.

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  • telescope) measured the positions of the chief lines in the spectra of about forty stars.

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  • (If only the relative orbit is known, the sum of the masses can be determined; but if absolute positions of one component have been observed, both masses can be determined separately.) But even when, as in most cases, the parallax is unknown or uncertain, the ratio of the brightness to the mass can be accurately found.

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  • In fact the relative positions are the same as if the earth remained fixed and the star described an orbit equal to that of the earth, but with the displacement always exactly reversed.

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

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  • The problem is greatly complicated by the fact that the equator and equinox, to which the observed positions of the stars must be referred, are not stationary in space, and in fact the movements of these planes of reference can only be determined by a discussion of the observations of stars.

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  • He has had a number of disciples or followers, who have in many cases modified his positions.

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  • The most important positions, such as the governorships of Mecca and Yemen, were entrusted to men of the Omayyad house, or that of the Makhzum and other Koreishite families.

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  • This would not have mattered if the necessary defensive works had been carried out, but the energies of the troops had been directed to preparing elaborate works in advance positions not well suited for defence, and the positions chosen by Cadorna for the main line of resistance were in many cases untouched.

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  • He found that while the front lines had been elaborately fortified, in various sectors the reserve lines which he had indicated as the " battle positions " were almost untouched, and parts of the front line were unsuitable for prolonged resistance.

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  • Cadorna ordered the positions to be modified.

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  • and the Alpini holding firmly to their positions, but in the end the first line was occupied, the Italians retiring to the main line of defence, which ran from Monte Maggio by Campomolon to Spitz Tonezza.

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    0
  • Here, too, practically nothing had been done to prepare the reserve positions, and owing to a mistaken order the retiring troops had not occupied Monte Pasubio, the key position now that Col Santo had gone.

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    0
  • The Austrian right was increasing the pressure against the positions west of the Vallarsa, and was collecting forces for the first of the long series of attacks against Pasubio, which was only lightly held.

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  • If the Zugna ridge had fallen, the effect upon the Pasubio position, already a salient, would have been more than serious, and upon the holding of the Pasubio lines depended the maintenance of the positions held by the right wing of the V.

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  • Owing to an error in the transmission of an order the Alpine troops who were holding the positions of Cima Undici and Cima Dodici retired before the Austrians attacked, and uncovered the flank of the division, while on the same day (May 25) the attacking forces succeeded in occupying the important position of Corno di Campo Verde (6,815 ft.).

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  • Corps made a great effort against the Italian positions south-west of Asiago.

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    0
  • Brusati had failed to realize the necessity of defence in depth, or the essentials of a good defensive line, but a graver error still was his neglect in regard to the preparation of second-line positions.

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    0
  • It was serious enough that the positions indicated by Cadorna in the early days of the war had not been prepared.

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    0
  • Cadorna relied upon Brusati's reports, and when, at the end of April, he inspected the positions himself, the enemy attack was daily expected, and it was too late to effect more than slight modifications.

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  • When A, B and C are objects of sense, their relative positions are matters, not of inference, but of observation; when they are not, there is an inference, but a syllogistic inference with a major premise, induced from previous observations, " whenever of three things the first is to the right of the second, and the second to the right of the third, the first is to the right of the third."

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  • through the positions of the middle term that Aristotle recognizes as of actual employment, and all their moods, i.e.

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  • pr i nc i ples of special sciences, their " positions," viz.

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    0
  • We have of course abandoned particular logical positions.

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    0
  • The two positions that a subject contains all its predicates and that all non-contingent propositions - i.e.

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    0
  • The two positions are to be conciliated in the thought of reciprocal limitation of the posited ego and non-ego.

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    0
  • The country on which the battle was fought abounded in strong defensive positions, some of which were famous as battlegrounds of the Seven Years' War.

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    0
  • At nightfall Bautzen and Burk were in possession of the French, and the allied line now stretched from Jenkwitz northward to Pliskowitz, Blucher and Barclay maintaining their original positions at Pliskowitz and Gleina.

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    0
  • He held various official positions in the years 1881-1899, and commanded the Boer force which compelled the surrender of the Jameson raiders at Doornkop (Jan.

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  • speciosum should be grown in England in positions facing north; it flourishes in Scotland.

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  • In the succeeding year he showed, in the same journal, that if the elements be arranged in the order of their atomic weights, those having consecutive numbers frequently either belong to the same group or occupy similar positions in different groups, and he pointed out that each eighth element starting from a given one is in this arrangement a kind of repetition of the first, like the eighth note of an octave in music. The Law of Octaves thus enunciated was at first ignored or treated with ridicule as a fantastic notion unworthy of serious consideration, but the idea, subsequently elaborated by D.

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  • Further, by suitably choosing the positions of the deflectors and the coefficient of torsion of the fibre, it is possible to make the temperature coefficient vanish.

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    0
  • They have a sort of chart, medo, of small sticks tied together, representing the positions of islands and the directions of the winds and currents.

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    0
  • North of Tolmino the Italians were still in the positions they had occupied early in the campaign, among the mountains on the left bank of the Isonzo, with comparatively little room between the trenches and the river.

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    0
  • Preparations had been made for a continuation of the offensive which had been broken off in Sept., and it was not possible, given the difficulty of communications and the risk of imminent attack, to take up those positions best adapted for defence.

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  • from his positions on the Bainsizza plateau.

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    0
  • The bombardment opened with a shower of gas shells, mainly directed against the artillery positions.

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    0
  • They were heavily outnumbered, but they held strong positions which should have enabled them to delay the enemy advance until the reserves could come into play.

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    0
  • It was not until the afternoon that Badoglio heard that his front lines were gone and his main positions threatened.

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    0
  • But the break-through between Tolmino and Caporetto had made these positions untenable.

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  • The right wing of the 19th was still holding on Globocak and had been reinforced by the ist Bersaglieri Brigade; Alpine troops still held a line down to the river, though they had been driven off their original positions on Krad Vrh, and troops of the 64th were being brought back from the left bank to strengthen this line.

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  • It was obvious that the positions on the Bainsizza could not be maintained.

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    0
  • Other positions were seriously threatened, and there was no confidence that they would be held.

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  • A gallant resistance was still being made at various points, notably at Luico and Globocak, but the enemy had broken through at several positions of vital importance, and, as has been said, the reserves were becoming entangled in the crowds of fugitives, and some of them were becoming infected.

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  • For the safety of his route to the new positions assigned to his army depended now on the ability of the left wing of the worn-out II.

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    0
  • Corps from Pecori-Giraldi, and it had been gradually withdrawn from its old positions to hold a line that ran from near San Marino in the Brenta gorge nearly due E.

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    0
  • Corps on the Montello, the II., which had been in line between Pederobba and the Montello, occupied in preparing defensive positions, going back to be rested and re-fitted with the rest of the II.

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    0
  • Roads had been built and gun positions prepared, and reservoirs made for water; trenches had been dug and strong redoubts constructed at various important points, though the defensive system was not completely finished when the enemy attacked at Caporetto.

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    0
  • When they had taken up their positions in the Meletta - Badenecche salient, Conrad's attacks were renewed, and for 10 days the fight continued, but brought no success to the Austrians, who lost heavily.

    0
    0
  • They succeeded in taking various positions, among them Spinoncia, but they could not hold them against the Italian counter-attacks, and further attempts to extend the success gained on the right were equally unsuccessful.

    0
    0
  • Conrad and Krauss continued their attempts to break through on the mountain front, but Krauss confined his efforts to the positions west of Monte Grappa and the worrying Solarolo salient.

    0
    0
  • The loss of the Meletta-Badenecche positions Deft another salient exposed to Austrian attack.

    0
    0
  • Corps was especially unfavourable for defence, the front-line positions of the 46th Div.

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    0
  • For the army, long used to the war of positions that had been the rule for 28 months, was in no condition to move.

    0
    0
  • Paley's latitudinarian views are said to have debarred him from the highest positions in the Church.

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    0
  • The problem of determining the possible configurations of equilibrium of a system of particles subject to extraneous forces which are known functions of the positions of the particles, and to internal forces which are known functions of the distances of the pairs of particles between which they act, is in general determinate For if n be the number of particles, the 3n conditions of equilibrium (three for each particle) are equal in number to the 351 Cartesian (or other) co-ordinates of the particles, which are to be found.

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    0
  • The position of a lamina movable in its own plane is determinate when we know the positions of any two points A, B of it.

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    0
  • For suppose that in consequence of the displacement a point of the lamina is brought from A to B, whilst the point of the lamina which was originally at B is brought to C. Since AB, BC, are two different positions of the same line in the B C lamina they are equal, and it is evident that the rotation could have been effected by a rotation about J,

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  • The latter may be brought from any one of its positions to a neighboring one by a rotation about the proper centre.

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    0
  • The limiting position J of this centre, when the two positions are taken infinitely close to one another, is called the instantaneous centre.

    0
    0
  • If P, P be consecutive positions of the same point, and the corresponding angle of rotation, then ultimately PP is at right angles to JP and equal to JP. ~O.

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    0
  • Consider in fact any series of successive positions I, 2, ~...

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    0
  • II); and let J11, Jfs, Jis be the positions in space of the j,~ centres of the rotations by - which the lamina can be brought from the first position to the second, from the second .li_s to the third, and soon.

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  • The given series of positions will be assumed in succession if we imagine the laniin~ to rotate first about Jii until Jn comes into coincidence with J21, then about Jar until J24 comes into coincidence with J14, and so on.

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  • By imagining the successive positions to be taken infinitely close to one another we derive the theorem stated.

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  • If funiculars be drawn for two positions 0,0 of the pole in the force-diagram, their corresponding sides will intersect on a straight line parallel to 00.

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  • If we wish to study the effects of a movable load or system of loads, in different positions on the beam, it is only neces sary to shift the lines of action of the pressures of the support~ relatively to the funicular, keeping them at the same distanci apart; the only change is then in the position of the closing line of the funicular.

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  • ~ Three-dimensional Kinematics of a Rigid Body.The position of a rigid body is determined when we know the positions of three points A, B, C of it which are not colljnear, for the position of any other point P is then determined by the three distances PA, PB, PC. The nine co-ordinates (Cartesian or other) of A, B, C are subject to the three relations which express the invariability of the distances BC, CA, AB, and are therefote equivalent to six independent quantities.

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  • Conversely, any six geometrical relations restrict the body in general to one or other of a series of definite positions, none of which can be departed from without violating the conditions in question.

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  • In any continuous motion of a solid about a fixed point 0, the limiting position of the axis of the rotation by which the body can be brought from any one of its positions to a consecutive one is called the instantaneous axis.

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  • Those planes in the body which are perpendicular to this axis obviously remain parallel to their original positions.

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  • Hence, if ~, tr denote the initial and final positions of any figure in one of these planes, the displacement could evidently have been effected by, (I) a translation perpendicular to the planes in question, bringing ointo some position o- in the plane of a., and (2) a rotation about a normal to the planes, bringing a.

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  • If we imagine a rigid body to be acted on at given points by forces of given magnitudes in directions (not all parallel) which are fixed in space, then as the body is turned about the resultant wrench will assume different configurations in the body, and will in certain positions reduce to a single force.

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  • To see this, let A, B be the displaced positions of A, B, and let i~ be the infinitely small angle between AB and AB.

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  • 45; if AB, AB represent the two positions of a string, and T be the tension, the virtual work of the two forces ~ T at A,B is T(AnBjS), which was shown to be of the second order.

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  • We have seen (~ 3) that the sequence of possible positions is obtained if we imagine the body-centrode to roll on the spacecentrode.

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  • If these lines be turned through a right angle in the same sense, they take up positions such as CC, DID, where C, D are on JC, JD, respectively, and CD is parallel to CD.

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  • where G,G are the two positions of the mass-centre.

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  • - -, responding to any pole 0 is c n constructed for a system of - - ..---, forces acting parallel to p L - / through the positions of the N particles and proportional to -- / the respective masses; and its - successive sides are produced K, ~ to meet p in the points H, K,

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  • This is called the curve of positions or space-time curve; its gradient represents the velocity.

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  • The curve of positions corresponding to (4) is a parabola, and that of velocities is a straight line.

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  • The particle oscifiates between the two positions x= ~a, and the same point is passed through in the same direction with the same velocity at equal intervals of time 21r/o.

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  • It may be noticed that if the scales of x and be properly adjusted, the curve of positions in the present problem is the portion of a cycloid extending from a vertex to a cusp.

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  • General Motion of a ParticleLet P, Q be the positions of a moving point at times t, t+t respectively.

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  • Thus, in a plane path, let P,Q be two consecutive positions, corresponding to the C times t, t + t; and let the normals at - v+~v P, Q meet in C, making an angle ~ Let v (=s) be the velocity at P, V v+v that at Q.

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  • Let P, Q be the positions of a u-i.aa moving point at times t, t + &, V Q

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  • If it could be arranged that the period of a small oscillation should be exactly the same about either edge, the two knifeedges would in general occupy the positions of conjugate centres of suspension and oscillation; and the distances between them would be the length 1 of the equivalent simple pendulum.

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  • If 0 is constant the points C, A will in time at come to positions C, A such that CC = sin 0 i~, AA = cos 0 ~, and the angular momentum about OB will become Cn sin 0 ~ A sin 0 ~.

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  • 36 we see that the angular velocities p, q, r of the moving lines, OA, OB, OC about their instantaneous positions are p=Osin4,sin0cos4,~,q=cos4,+sin0sin4,i~,~

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  • Every particle of the system executes in general a simple vibration of the imposed period 27r/il, and all the particles pass simultaneously through their equilibrium positions.

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  • Stability, Stiffness and Strength.A structure may be damaged or destroyed in three ways:first, by displacement of its pieces from their proper positions relatively to each other or to the earth; secondly by disfigurement of one or more of those pieces, owing to their being unable to preserve their proper shapes under the pressures to which they are subjected; thirdly, by breaking of one or more o~ those pieces.

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  • Considering, in the first place, the case in which the load and the two resistances by which each piece is balanced meet in one point, which may be called the centre of load, there will be as many such points of intersection, or centres of load, as there are pieces in the structure; and the directions and positions of the resistances or mutual pressures exerted between the pieces will be represented by the sides of a polygon joining Pi h2 ~, ~ those points, as in fig.

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  • P4 represent the centres of load in a structure of four pieces, and the sides of the ~ polygon of resistances P1 P2 P2 P4 represent respectively the direc~ I~~ tions and positions FIG.

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  • The line of resistance is a line traversing all the centres of resistance of a series of joints,its form, in the positions intermediate between the actual joints of the structure, being determined by supposing the pieces and their loads to be subdivided by the introduction of intermediate joints ad snfinstum, and finding the continuous line, curved or straight, in which the intermediate centres of resistance are all situated, however great their number.

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  • Stability of Friction in Earth.The grains of a mass of loosi earth are to be regarded as so many separate pieces abutting agains each other at joints in all possible positions, and depending for thei stability on friction.

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  • stable at a given point, conceive that point to be traversed by plane in all oossible positions, and determine which position gives thi greatest obliquity to the total pressure exerted between the portions of the mass which abut against each other at the plane.

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  • The directions and positions of the axes being given, and the required angular velocity ratio, the following construction serves to determine the line of contact, by whose rotation round the two axes respectively the hyperboloids are generated: In fig.

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  • Let D,TB1A1, D2TBIA2 be the positions, at a given instant, of the acting surfaces of a pair of teeth in the driver and follower respectively, touching each other C~ at T; the line of connection of.

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  • The path of contact is the line traversing the various positions of the point T.

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  • all positions of the mechanism, and if the point b be guided in any curve whatever, the point c will trace a similar FIG.

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  • the ratio of the distances ab and ac is constant, and the angle baa E a is constant for all positions of the FIG H

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  • The general problem in practice is, given a system of weights attached to a shaft, to find the respective weights and positions of two balance weights or counterpoises which must hi added to the system in order to make the shaft a permanent axis, the planes in which the balance weights are to revolve also beinf given.

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  • Newcomb showed that this belief was unfounded, and that as a matter of fact the moon was falling rapidly behind the tabular positions.

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  • He reiterated this belief in private letters even to his wife; and there seems to be no doubt that, to the day of his death, he was the most determined sceptic as to his fitness for the positions to which he was successively called.

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  • Calixtus saw himself under the necessity of abandoning his friends and setting up a mediating formula designed to harmonize the Trinitarian and the Modalistic positions.

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  • In public he was of magnificent bearing, possessing the true oratorical temperament, the nervous exaltation that makes the orator feel and appear a superior being, transfusing his thought, passion and will into the mind and heart of the listener; but his imagination frequently ran away with his understanding, while his imperious temper and ardent combativeness hurried him and his party into disadvantageous positions.

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  • He found that when the resonator was placed in certain positions with regard to the oscillator, small sparks were seen between the micrometer balls, and when the oscillator was placed at one end of a room having a sheet of zinc fixed against the wall at the other end, symmetrical positions could be found in the room at which, when the resonator was there placed, either no sparks or else very bright sparks occurred at the poles.

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  • (C) The philosophical works which form part of the Instauratio must of course be classed according to the positions which they respectively hold in that scheme of the sciences.

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  • These are old stem endings left after the loss of the original -es; thus latro gives lleidr, latrones gives lladron; the forms having dd represent i stems, i becoming dd in certain positions.

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  • This type was fixed, both in vertical and in perpendicular positions, upon a cylinder, round which rotated other cylinders, which held and compressed the sheets against the larger one, which also revolved and carried the printing surface.

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  • As will be observed, the only differences in principle between these two type revolving machines were in the positions of the respective cylinders, and the fixing of the type to form a printing surface.

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  • and he held the two positions together until his death on the 8th of September 1894.

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  • Before their conclusion Spinoza had parted company from Descartes, and the leading positions of his own system were already clearly determined in his mind.

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  • Having been made prebendary of Exeter, of Wells and of York, he was consecrated bishop of Hereford in 1370, was translated to the see of London in 1375, and became archbishop of Canterbury in 1381, succeeding Simon of Sudbury in both these latter positions.

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  • In the western and northern alpine part of Sweden, near the boundaries of Norway, the Silurian strata are covered by crystalline rocks, mica schists, quartzites, &c., of an enormous thickness, which have been brought into their present positions upon a thrust-plane.

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  • The strong positions around Rivoli, which command the approaches from Tirol and the upper Adige into the Italian plain, have always been celebrated in military history as a formidable obstacle, and Charles V.

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  • On the 13th of January of that year the Chilean forces under command of General Baquedano attacked the entrenched positions of the Peruvians at daybreak in the vicinity of Chorillos, a village some few miles from Lima, and forming the outer line of defence for the capital.

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