Depends Sentence Examples

depends
  • It depends how cooperative everyone is.

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  • I suppose it depends on the driver.

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  • A good deal also depends on the species of tree.

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  • It all depends on you.

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  • It depends on the route.

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  • I guess it depends on what you want to do with it.

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  • It all depends on Darian.

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  • Membership in the church depends solely upon being enrolled as a member of one of these meetings for Christian fellowship, and thus placing oneself under pastoral oversight.

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  • The speed of these two motions depends much on the length of the span and of the longitudinal run, and on the nature of the work to be done; in certain cases, e.g.

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  • The cost of the cable before laying depends on the dimensions of its core, the gutta-percha, which still forms the only trustworthy insulator known, constituting the principal item of the expense; for an Atlantic cable of the most approved construction the cost may be taken at f250 to £300 per nautical mile.

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  • Its doing so depends upon the totality of conditions.

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  • Its power depends on the fact that it is slowly decomposed by the tissues, and free iodine given off.

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  • The extent to which the disturbance spreads depends on the violence of the stimulationit may be confined to a few leaflets or it may extend to all the leaves of the plant.

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  • The bark, very dark externally, is an excellent tanning substance; the inner layers form the quercitron of commerce, used by dyers for communicating to fabrics various tints of yellow, and, with iron salts, yielding a series of brown and drab hues; the colouring property depends on a crystalline principle called quercitrin, of which it should contain about 8%.

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  • This result was apparently confirmed by some independent experiments, but it Is very far from the truth, for it is now known that the actual ratio, or factor as it is commonly called, of the velocity of the wind to that of the cups depends very largely on the dimensions of the cups and arms, and may have almost any value between two and a little over three.

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  • The actual load factor to be chosen depends on the nature of the work and the kind of crane.

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  • After a very short interval of time, the length of which depends on the inductive retardation of the cable, the condensers corresponding to C 1 and C3 at the other end begin to be charged from the cable, and since the charge of C3 passes through the receiving instrument I or G the signal is recorded.

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  • P. Granville put into practice between Alum Bay in the Isle of Wight and the Needles lighthouse a method which depends upon conduction through sea water.

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  • A third class of electric wave detector depends upon the power of electric oscillations to annul the electrolytic polarization of electrodes of small surface immersed in an electrolyte.

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  • The pitch of a musical sound depends on the number of cycles passed through by the fluctuations of the pressure per unit of time; the loudness depends on the amount or the amplitude of the fluctuation in each cycle; the quality depends on the form or the nature of the fluctuation in each cycle.

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  • Where God is believed in at all, it is believed that upon God everything else depends.

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  • The extent of the area affected and of the variation in the turgor depends upon many circumstances, but we have no doubt that in the process of modifying its own permeability by some molecular change we have the counterpart of muscular contractibility.

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  • No sharp line can be drawn between these diseases and some of the preceding, inasmuch as it often depends on the external conditions whether necrosis is a dry-rot, in the sense I employ the term here, or a wet-rot, when it would come under the preceding category.

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  • Upon our knowledge of its minute structure or cytology, combined with a study of its physiological activities, depends the ultimate solution of all the important problems of nutrition.

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  • The two conceptions which may now be said to animate the theory of geography are the genetic, which depends upon processes of origin, and the morphological, which depends on facts of form and distribution.

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  • A further subdivision depends on the character of the inter-relation of land and sea along the shore producing such types as a fjord-coast, ria-coast or lagoon-coast.

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  • Thus the scenery of a limestone country depends on the solubility and permeability of the rocks, leading to the typical Karst-formations of caverns, swallowholes and underground stream courses, with the contingent phenomena of dry valleys and natural bridges.

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  • It is on the windward faces of the highest ground, or just beyond the summit of less dominant heights upon the leeward side, that most rain falls, and all that does not evaporate or percolate into the ground is conducted back to the sea by a route which depends only on the form of the land.

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  • The outline of the curve of a valley's sides ultimately depends on the angle of repose of the detritus which covers them, if there has been no subsequent change, such as the passage of a glacier along the v.alley, which tends to destroy the regularity of the crosssection.

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  • This high mean pressure cannot be maintained for long, because as the speed increases the demand for steam per unit of time increases, so that cut-off must take place earlier and earlier in the stroke, the limiting steady speed being attained when the rate at which steam is supplied to the cylinders is adjusted by the cut-off to be equal to the maximum rate at which the boiler can produce steam, which depends upon the maximum rate at which coal can be burnt per square foot of grate.

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  • Coal-saving can be shown to the extent of about 1% in some cases, but the saving depends upon the kind of service on which the engine is employed.

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  • Since high average speed on a line with frequent stops depends largely on rapidity of acceleration, the tendency in modern equipment is to secure as great an output of power as possible during the accelerating period, with corresponding increase in weight available for adhesion.

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  • The cost of intra-urban railways depends not only on the type of construction, but more especially upon local conditions, such as the nature of the soil, the presence of subsurface structures, like sewers, water and gas mains, electric conduits, &c.; the necessity of permanent underpinning or temporary supporting of house foundations, the cost of acquiring land passed under or over when street lines are not followed, and, in the case of elevated railways, the cost of acquiring easements of light, air and access, which the courts have held are vested in the abutting property.

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  • This is an inappreciable distance when compared with the diameter of the sun, which is nearly a million of miles, but the significance for our present purpose depends upon the fact that this contraction is always taking place.

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  • The total thermal effect, too, which is associated with the transformation, must be the same, whether the transformation is conducted directly or indirectly (Hess's Law of Constant Heat Sums), since the thermal effect depends only on the intrinsic energies of the initial and final systems.

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  • The distinguishing colour of a prelate's clothing is violet; the form, like the greater or less use of violet, depends on the rank of the prelate.

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  • The prosperity of the island depends on the development of agriculture, the acquirement of industrious habits by the people, and the abandonment of political agitation.

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  • Very often, if not most frequently, it cannot be doubted that the occult religious significance depends on an artificial exegesis; but there are also poems of Hafiz, Saadi, and other writers, religious in their first intentions.

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  • But the prosperity of the island depends mainly upon foreign visitors (some 30,000 annually), who are attracted by the remarkable beauty of the scenery (that of the coast being especially fine), the views of the sea and of the Bay of Naples, and the purity of the air.

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

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  • The whole social and political fabric of the British Empire depends upon the efficiency of its industrial system.

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  • That relation depends on the predominance of one or other of the four factors embraced in his theology.

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  • Though there are breweries, tanneries and saw-mills, the town depends mainly on agriculture.

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  • The health of the city depends, of course, to a large extent on this ebb and flow.

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  • In this part of the work, as in the preceding, his reasoning depends essentially upon his peculiar view of natural agents and their activities.

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  • There are no municipal lighting-plants; but the companies upon which the city depends for its service are (with all others) subject to the control of a state commission.

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  • Sometimes it is woolly and flocculent, sometimes smooth like parchment, and its shape depends in a large measure upon the habits of the female towards her offspring.

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  • The success of procryptic coloration depends, however, very largely upon stillness, and the instinct to keep stationary without moving a limb is a marked characteristic of all spiders unless engaged in hunting or fleeing from imminent danger.

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  • The best means of combating these attacks depends on a knowledge of the life-histories and habits of the pests.

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  • The rainfall is uncertain and low, however, never exceeding 40 in., and on the supply of water by irrigation the future of the industry mainly depends.

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  • His success depends upon his ability to interpret rightly the facts and intangible signs with which he is brought in contact.

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  • The probability of miracles depends on the conception we have of the free relation of God to nature, and of nature as the adequate organ for the fulfilment of God's purposes.

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  • The genuineness of the letter (on which, by the way, depends the story of Godfrey's agreement with Dagobert) has been impeached by Prutz and Kugler, and doubted by Rohricht.

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  • The value of the trade depends on regular rains, so that in seasons of drought the exports seriously diminish.

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  • The extrusion itself depends enFIG.

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  • The extent to which a soap is hydrolysed depends upon the acid and on the concentration of the solution; it is also affected by the presence of metallic salts, e.g.

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  • The Old Testament depicts the history of the people as a series of acts of apostasy alternating with subsequent penitence and return to Yahweh, and the question whether this gives effect to actual conditions depends upon the precise character of the elements of Yahweh worship brought by the Israelites into Palestine.

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  • It will be seen that each type depends upon a specific radical or atom, and the copulation of this character with any hydrocarbon radical (open or cyclic) gives origin to a compound of the same class.

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  • The success of the operation depends upon the slow burning of the substance.

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

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

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  • The measure of the loss of symmetry associated with the introduction of alkyl groups depends upon the relative magnitudes of the substituent group and the rest of the molecule; and the larger the molecule, the less would be the morphotropic effect of any particular substituent.

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  • The only illogical point in his system is that the beauty of his dreamlike chords depends not only on his artful choice of a timbre that minimizes their harshness, but also on the fact that they enter the ear with the meaning they have acquired through centuries of harmonic evolution on classical lines.

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  • The future of archaeological study in Mesopotamia depends upon the political conditions, which have not hitherto been considered favourable to the resumption of excavation in that country.

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  • This development, which is accompanied by changes in the structure of the skull, depends on breeding the animals in warm damp hutches, without which the best developed parents fail to produce the desired offspring.

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  • The former method, usually called the " natural scale," may be described as " international," for it is quite independent of local measures of length, and depends exclusively upon the size and figure of the earth.

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  • Latin letters are used throughout; the miniatures of older maps are superseded by symbols, and in the better-known countries the maps are fairly correct, but they fail lamentably when we follow their author into regions - the successful delineation of which depends upon critical combination of imperfect information.

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  • The ordnance survey, too, no longer depends on the war office but upon the board of agriculture and fisheries.

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  • But the value of the protectorate depends upon the carrying trade with Harrar and the supplying of victuals and coals to French warships.

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  • This he modifies by explaining that self-interest is based on the relationships of life; a man needs money for the sake of his children, his friends and the state whose general prosperity depends on the wealth of its citizens.

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  • Instinctive behaviour thus depends solely on how the nervous system has been built through heredity; while intelligent behaviour depends also on those characters of the nervous system which have been acquired under the modifying influence of individual relation to the environment.

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  • The chief importance of nitrogenous compounds depends upon their assimilation by living plants, which, in their development, absorb these compounds from the soil, wherein they are formed mainly by the action of nitrifying bacteria.

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

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  • It follows, too, that when there is a number of substances, all essential for the elaboration of living material, and when one of these is present in minimal proportion, that one substance rules the production, just as the effective strength of a chain depends on the weakest link.

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  • First of all we consider inorganically combined nitrogen (as nitrates and nitrites chiefly), since upon this depends all the life of the ocean.

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  • In so far as it depends on solution of calcareous rock the Semper-Murray theory of coral reefs is unsatisfactory.

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  • The influence of temperature on the conductivity of solutions depends on (I) the ionization, and (2) the frictional resistance of the liquid to the passage of the ions, the reciprocal of which is called the ionic fluidity.

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  • It is now evident that the electromotive force of an ordinary chemical cell such as that of Daniell depends on the concentration of the solutions as well as on the nature of the metals.

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  • The latex is not to be confused with the sap of trees, on the circulation of which their nutrition depends.

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  • The efficacy of heat or of an acid, an alkali or other agent in promoting coagulation depends on the character of the latex, and varies with that obtained from different plants.

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  • At present the caoutchouc present in crude rubber is usually estimated indirectly, and it is possible that what generally passes as caoutchouc may be in some instances a mixture of similar chemical substances, which if separated would be found to differ in those physical properties on which the technical value of rubber depends.

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  • Sulphur when warmed with caoutchouc combines with it, and on this fact the vulcanization of rubber depends, and also the production, with an excess of sulphur, of the hard black material known as vulcanite or ebonite.

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  • The technical value of caoutchouc chiefly depends on the extent to which it is capable of being stretched without breaking, and the extent to which it at once returns to its original dimensions.

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  • The prosperity of the town depends chiefly on the vine culture in the neighbourhood, from which, besides the exportation of a large quantity of grapes, about 700,000 gallons of wine are manufactured annually.

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  • The colour depends in part upon the proportion of copper and zinc, and in part upon the current density, weaker currents tending to produce a redder or yellower metal.

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  • The action depends upon the difference of the pressure on the liquid at the extremities of the tube, the flow being towards the lower level and ceasing when the levels coincide.

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  • This canonical form depends upon j having three unequal linear factors.

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  • The Kassner process for the manufacture of oxygen depends upon the formation of calcium plumbate, Ca2Pb04, by heating a mixture of lime and litharge in a current of air, decomposing this substance into calcium carbonate and lead dioxide by heating in a current of carbon dioxide, and then decomposing these compounds with the evolution of carbon dioxide and oxygen by raising the temperature.

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  • Red lead or triplumbic tetroxide, Pb304, is a scarlet crystalline powder of specific gravity 8.6-9.1, obtained by roasting very finely divided pure massicot or lead carbonate; the brightness of the colour depends in a great measure on the roasting.

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  • Another process depends upon the formation of lead chloride by grinding together litharge with salt and water, and then treating the alkaline fluid with carbon dioxide until it is neutral.

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  • Its weak point is that the apparent motion of the node depends partly upon the motion of the ecliptic, which cannot be determined with equal precision.

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  • The action of a magnet at a distance which is great compared with the length of the magnet depends solely upon its moment; so also does the action which the magnet experiences when placed in a uniform field.

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

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  • Magnetic induction, like other fluxes such as electrical, thermal or fluid currents, is defined with reference to an area; it satisfies the same conditions of continuity as the electric current does, and in isotropic media it depends on the magnetic force just as the electric current depends on the electromotive force.

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  • Much depends upon its antecedent magnetic condition, and indeed upon its whole magnetic history.

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

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  • The magnetic quality of a sample of iron depends very largely upon the purity and physical condition of the metal.

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  • The uncertainty with which the results are affected depends chiefly upon the imperfect contact between the bar and the yoke and also between the ends of the divided bar.

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  • And, other conditions remaining unchanged, the " sense " of any effect depends upon the nature of the metal under test, and (sometimes) upon the intensity of its magnetization.

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  • The difference between the gill-books of Limulus and the lung-books of Scorpio depends on the fact that the latter are adapted to aerial respiration, while the former serve for aquatic respiration.

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  • The truth is that the extent to which national honour is involved depends on factors which have nothing to do with the immediate subject of complaint.

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  • The answer depends on several considerations which can only be glanced at here.

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  • It is a region of light rainfall, and cultivation depends chiefly on the Gash flood.

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  • Hetherington, and which he justified on the singular ground that "the vast bulk of the population believe that morality depends entirely on revelation; and if a doubt could be raised among them that the ten commandments were given by God from Mount Sinai, men would think they were at liberty to steal, and women would consider themselves absolved from the restraints of chastity."

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  • Newcastle is also a mining town, but depends chiefly on its large trade in wool.

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  • If we restrict attention to these non-different elements, the individual becomes for us the species, the genus, &c.; everything depends on the point of view from which we regard it.

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  • If individuality depends in matter, must we not conclude with Averroes that individuality is extinguished at death, and that only the universal form survives ?

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  • This selection depends on the fact that more young are born than the natural provision of food will support.

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  • The question of light or darkness then depends upon whether the series begins or ends abruptly.

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  • When light passes through a small circular or annular aperture, the illumination at any point along the axis depends upon the precise relation between the aperture and the distance from it at which the point is taken.

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  • Since the limitation of the width of the central band in the image of a luminous line depends upon discrepancies of phase among the secondary waves, and since the discrepancy is greatest for the waves which come from the edges of the aperture, the question arises how far the operation of the central parts of the aperture is advantageous.

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  • The light in the proposed direction is that determined by the size of the small aperture in accordance with the laws already investigated, and its phase depends upon the position of the aperture.

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  • Throughout the operation of increasing the focal length, the resolving power of the instrument, which depends only upon the aperture, remains unchanged; and we thus arrive at the rather startling conclusion that a telescope of any degree of resolving power might be constructed without an object-glass, if only there were no limit to the admissible focal length.

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  • In an engraved glass grating there is no opaque material present by which light could be absorbed, and the effect depends upon a difference of retardation in passing the alternate parts.

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  • According to our former standard, this gives the smallest difference of wave-lengths in a double line which can be just resolved; and we conclude that the resolving power of a grating depends only upon the total number of lines, and upon the order of the spectrum, without regard to any other considerations.

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  • The objection raised by Herschel (Light, § 703) to this comparison depends on a misconception.

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  • Rutherfurd introduced into common use the reflection grating, finding that speculum metal was less trying than glass to the diamond point, upon the permanence of which so much depends.

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  • The possibility of dark bands depends upon a being positive.

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  • The same method of representation is applicable to spherical waves, issuing from a point, if the radius of curvature be large; for, although there is variation of phase along the length of the infinitesimal strip, the whole effect depends practically upon that of the central parts where the phase is sensibly constant.'

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  • The utility of the curve depends upon the fact that the elements of arc represent, in amplitude and phase, the component vibrations due to the corresponding portions of the primary wave-front.

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  • The factor (I -cos 0) shows in what manner the secondary disturbance depends upon the direction in which it is propagated with respect to the front of the primary wave.

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  • And it remains to be seen, how far the death of any form of living matter, at a given temperature, depends on the destruction of its fundamental substance at that heat, and how far death is brought about by the coagulation of merely accessory compounds.

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  • An ingot of tin is pure white (except for a slight tinge of blue); the colour depends, however, upon the temperature at which it is poured - if too low, the surface is dull, if too high, iridescent.

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  • On its thoroughness depends the removal of small quantities of products other than the nitrates, for instance, some sulphates and products from impurities contained in the original cellulose.

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  • The production of the so-called "artificial silk" depends on this action.

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  • Health depends on the maintenance of a proper" tone "in the body - some diseases being produced by excess of tone, or" spasm "; others by" atony,"or want of tone.

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  • We see now that the practice of the experimental method endows with a new vision both the experimenter himself and, through his influence, those who are associated with him in medical science, even if these be not themselves actually engaged in experiment; a new discipline is imposed upon old faculties, as is seen as well in other sciences as in those on which medicine more directly depends.

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  • It is desultory to a degree; it is a base libel on religion and history; it differs from its model Ariosto in being, not, as Ariosto is, a mixture of romance and burlesque, but a sometimes tedious tissue of burlesque pure and simple; and it is exposed to the objection - often and justly urged - that much of its fun depends simply on the fact that there were and are many people who believe enough in Christianity to make its jokes give pain to them and to make their disgust at such jokes piquant to others.

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  • The depth to which open working can be pushed depends upon the size and value of the mineral deposit and upon the expense of removing the over-burden.

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  • The capacity of the tank depends on the power required and the distance to be traversed by a single charge of air.

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  • The size of cylinder which can be produced in this way depends chiefly upon the dimensions of the working platform and the weight which a man is able to handle freely.

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  • The quality of plasticity is developed to very different degrees in different metals, and even in the same species it depends on temperature, and may be modified by mechanical or physical operations.

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  • He remarked that the flow of water from an orifice depends not only on the magnitude of the orifice itself, but also on the height of the water in the reservoir; and that a pipe employed to carry off a portion of water from an aqueduct should, as circumstances required, have a position more or less inclined to the original direction of the current.

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  • Frederick II., conscious of the instability of his French ally, was now eager to contract an offensive alliance with Russia; and the first step to its realization was the overthrow of Bestuzhev, "upon whom," he wrote to his minister Axel von Mardefeld, "the fate of Prussia and my own house depends."

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  • The country is dry and sandy, and entirely depends on well irrigation for its water supply.

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  • Whether the improvement will be profitable or not to the planter or manufacturer depends on the market for the sugar, and on the conditions of foreign tariffs, which are not infrequently hostile.

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  • The choice of the size of the crystals to be produced in a given pan depends upon the market for which they are intended.

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  • Some crystallizers are made entirely cylindrical, and are connected to the condenser of the vacuum pan; in order to maintain a partial vacuum in them, some are fitted with cold-water pipes to cool them and with steam pipes to heat them, and some are left open to the atmosphere at the top. But the efficiency of all depends on the process of almost imperceptible yet continuous evaporation and the methodical addition of syrup, and not on the idiosyncrasies of the experts who manage them; and there is no doubt that in large commercial processes of manufacture the simpler the apparatus used for obtaining a desired result, and the more easily it is understood, the better it will be for the manufacturer.

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  • This depends largely on the station adopted by the parasite.

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  • It is important, since upon it largely depends the movement of air and water in the land.

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  • The water-holding capacity of a soil depends upon the amount of free space between the particles of which it is composed into which water can enter.

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  • The particular form in which lime should be applied for the best results depends upon the nature of the soil.

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  • The amount of moisture retained depends mainly upon the absorbability of the soil, and as it depends largely on capillary action it varies with the coarseness or fineness of the pores of the soil, being greater for soils which consist of fine particles.

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  • The affairs of the tribe are administered by the sheiks, or heads of clans and families; the position of sheik in itself gives no real governing power, his word and counsel carry weight, but his influence depends on his own personal qualities.

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  • What the tree is in regard to its specific qualities depends on what faculties we have for perceiving it.

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  • Only in the sierra and montana regions is it possible to maintain a large population and develop the industries upon which their success as a nation depends.

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  • The Peruvian supply is practically exhausted through the destructive methods employed in collecting the bark, and the world now depends chiefly on Bolivia and Ecuador.

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  • On this fact depends "rectification or purification by distillation."

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  • The success of the operation chiefly depends upon the proper management of the cooler.

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  • The word actinometer is now usually applied to instruments for measuring the actinic or chemical effect of luminous rays; their action generally depends upon photochemical changes.

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  • As the practical work depends on the conclusions of the theoretical, the latter must obviously come first in order of execution.

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  • Each of the members of this series is one degree more special than the member before it, and depends upon the facts of all the members preceding it, and cannot be fully understood without them.

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  • Complete adaptation to an infinitely receding ideal is impossible, and relative adaptation depends on the distance between the actual and the ideal.

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  • Its authoritativeness depends on the intrinsic salutariness of self-control, and must cease to be felt as the resistance of the lower feelings relaxes.

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  • He first undertook a preliminary inquiry into the principles upon which flight depends, and established at Allegheny a huge "whirling table," the revolving arm of which could be driven by a steamengine at any circumferential speed up to 70 m.

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  • The object of the present article is to illustrate the practical application of the two general principles - (I) Joule's law of the equivalence of heat and work, and (2) Carnot's principle, that the efficiency of a reversible engine depends only on the temperatures between which it works; these principles are commonly known as the first and second laws of thermodynamics.

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  • The balance of work obtainable in such a cycle depends on the limits of temperature in a manner which forms the subject of the second law.

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  • In virtue of relations (2), the change of entropy of a substance between any two states depends only on the initial and final states, and may be reckoned along any reversible path, not necessarily isothermal, by dividing each small increment of heat, dH, by the temperature, 0, at which it is acquired, and taking the sum or integral of the quotients, dH/o, so obtained.

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  • Much depends on what the "seer" is accustomed to use, and some persons who can "scry" in a glass ball or a glass waterbottle cannot "scry" in ink.

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  • Perhaps something depends on the inquirer as well as the scryer.

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  • The second process depends upon the fact that, if chlorine be led into the molten alloy, the base metals and the silver are converted into chlorides.

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  • One process depends upon the fact that, with a suitable current density, if a very dilute solution of silver nitrate be electrolysed between an auriferous silver anode and a silver cathode, the silver of the anode is dissolved out and deposited at the cathode, the gold remaining at the anode.

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  • It is difficult to analyse closely the economic effect of emigration, because so much depends upon the character of the emigrants and the condition of the labour market.

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  • Herodotus, though he once at least controverts his statements, is indebted to Hecataeus not only for facts, but also in regard of method and general scheme, but the extent of the debt depends on the genuineness of the Ns xrEp1050s.

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  • The amount of separation is very small, and depends on the thickness of the glass, the index of refraction and the focal length of the telescope.

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  • The question of the nomenclature of the group of roads between the Via Ardeatina and the Via Ostiensis is somewhat difficult, and much depends on the view taken as to the site of Laurentum.

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  • The outline of the water surface depends on the outline of the basins in which it is contained.

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  • The general scheme of ocean currents depends on the prevailing winds taken in conjunction with the configuration of the coast and its submarine approaches.

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  • The quantity of air required for a large colliery depends upon the number of men employed, as for actual respiration from zoo to 200 cub.

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  • The volume of gas obtained, however, depends very largely upon the form of apparatus used, and while some will give the full volume, other apparatus will only yield, with the same carbide, 34 feet.

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  • The purity of the carbide entirely depends on the purity of the material used in its manufacture, and before this fact had been fully grasped by manufacturers, and only the purest material obtainable employed, it contained notable quantities of compounds which during its decomposition by water yielded a somewhat high pro portion of impurities in the acetylene generated from it.

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  • The date of the epistle depends upon the date of the Ignatian letters and is now generally fixed between 112 and 118.

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  • The maintenance of the conditions of steadiness implied in equation (I) depends upon the constancy of F, and therefore of the coefficient of friction µ between the rubbing surfaces.

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  • The character of the vegetation varies with and depends on moisture, temperature and soil.

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  • The truth of this depends upon the definition of the word "slave."

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  • The automatic sight has, however, distinct limitations; it depends for its accuracy on height of site, and at long ranges even from a high site it cannot compare for accuracy with independent range-finding and careful laying or accurately applied quadrant elevation; it is also useless when the water line of the target is obscured, as may often be the case from the splashes caused by bursting shell.

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  • The popular opinion of a census, at least in the United States, depends largely upon the degree to which its figures for the population of the country, of states, and especially of cities, meet or fail to meet the expectations of the interested public. Judged by this standard, the census of 1890 was less favourably received than that of 1880.

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  • Hence there is no such basis as exists in nearly every other civilized state for a national system of registration, and the country depends upon the crude method of enumerators' returns for its information on vital statistics, except in the states and cities which have established a trustworthy registration system of their own.

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  • The horse-drawn hoe is steered by means of handles in the rear, but its successful working depends on accurate drilling of the seed, because unless the rows are parallel the roots of the plants are liable to be cut and the foliage injured.

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  • The Fourth Gospel is the noblest instance of this kind of literature, of which the truth depends not on the factual accuracy of the symbolizing appearances but on the truth of the ideas and experiences thus symbolized.

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  • The loudness of the sound brought by a train of waves of given wave-length depends on the extent of the to and fro excursion of the air particles.

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  • The pitch of a sound, the note which we assign to it, depends on the number of waves received by the ear per second.

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  • We can only conclude that it depends on wave form, a conclusion fully borne out by investigation.

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  • When the measurement of a time interval depends on an.

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  • The results obtained fully confirm the general law that " pitch," or the position of the note in the musical scale, depends solely on its frequency.

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  • Thecurrent being alternately transmitted and shut off, as a hole passes on and off the aperture of the tube or bellows, causes a vibratory motion of the air, whose frequency depends on the number of times per second that a perforation passes the mouth of the tube.

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  • Since the quality of the note sounded depends on the mixture of harmonics, the quality therefore is to some extent dependent on the point of excitation.

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  • Subject to a limitation which we shall examine later, the velocity of a longitudinal disturbance along a wire or rod depends only on the material of the rod, and not upon the cross-section.

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  • Substituting in (33) we get U 2 = n/p. (34) If we now keep the wire at rest the disturbance travels along it with velocity U= d (nip), and it depends on the rigidity and density of the wire and not upon its radius.

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  • It depends on the restoring force due to the displacement of the receiver not being accurately proportional to the displacement.

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  • The old theory was that the general prosperity of the country depends upon the development of its natural resources - a development which can best be achieved by private capital, acting under the natural incentive of financial profits.

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  • The capacity of a person to agree of to arbitration, or to act as arbitrator, depends on the general law of contract.

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  • The power to enforce the award depends on this last provision.

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  • The stability of such structures depends on the position of the line of pressure in relation to the extrados and intrados of the arch ring.

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  • The stability of such structures depends on the position of the line of pressure relatively to the intrados and extrados of the arch ring.

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  • The weight of the bridge flooring depends on the type adopted.

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  • Baker and others, show that the breaking stress of a bar is not a fixed quantity, but depends on the range of variation of stress to which it is subjected, if that variation is repeated a very large number of times.

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  • It depends mainly on the character of the foundations and height at which the bridge is carried.

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  • Much therefore depends upon the estimate which is formed of the position of David (q.v.).

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  • Cod-liver oil has the further peculiarity of being more readily oxidizable than any other oil; an obviously valuable property when it is remembered that the entire foodvalue of oils depends on their oxidation.

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  • Since the revenue-earning power of a supply station depends entirely upon its meters, inaccuracy in meter record is a serious matter.

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  • Water-supply depends chiefly, therefore, on local rainfall.

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  • It thus appears that if the amplitude of vibration could be as much as 1 o_2 of the wave-length, the aether would be an excessively rare medium with very slight elasticity; and yet it would be capable of transmitting the supply of solar energy on which all terrestrial activity depends.

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  • It is true that the theory of vortex rings in hydrodynamics is of a simpler type; but electric currents cannot be likened to permanent vortex rings, because their circuits can be broken and the element of cyclic steadiness on which the simplicity depends is thereby destroyed.

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  • For, indeed, scepticism with regard to the senses is considered in the Inquiry .to be sufficiently justified by the fact that they lead us to suppose " an external universe which depends not on our perception," whereas " this universal and primary opinion of all men is soon destroyed by the slightest philosophy."

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  • Scepticism with regard to reason, on the other hand, depends on an insight into the irrational character of the relation which we chiefly employ, viz.

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  • The cost of maintaining the collection depends on the numbers received by purchase, in exchange, or presented, but for an average of about £ 2000 per annum a collection such as that in London can be adequately maintained.

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  • This depends to a certain extent on the object of the institution.

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  • Something depends upon the vexed question as to the identity of the Galatian churches.

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  • The date of the completed Luke depends (a) on whether or not we believe Luke himself or a later disciple to be the author, and (b) whether or not we believe that the author of Acts had seen Josephus' Antiquities, published in A.D.

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  • The case for Alexandria depends partly on the orthography of B, which resembles Graeco-Coptic papyri, partly on the order of the Pauline epistles.

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  • As the loop of the Kuriles depends from the southern extremity of Kamchatka, so from the east of the same peninsula another loop extends across the northern part of the ocean to Alaska, and helps to demarcate the Bering Sea; this chain is distinctly broken to the east of the Commander Islands, but is practically continuous thereafter under the name of the Aleutian Islands.

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  • The interpretation which Isaiah puts on this fact depends on the circumstance that at that date religion had never been conceived as a relation between God and individuals, or as a relation between God and a purely spiritual society, but always as a relation between a deity and some natural social group - a stock, a tribe, a nation.

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  • The improvement in the productiveness of labour depends largely on its division; and he proceeds accordingly to give his unrivalled exposition of that principle, of the grounds on which it rests, and of its greater applicability to manufactures than to agriculture, in consequence of which the latter relatively lags behind in the course of economic development.

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  • Whether the price is or is not more depends on the demand."

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  • Progress in the science also depends upon the pursuit of palaeontology as zoology and not as geology, because it was a mere accident of birth which connected palaeontology so closely with geology.

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  • This shows that the connexion between the refrangibility of light and its wave-length does not obey any simple law, but depends on the nature of the refracting medium.

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  • The form of the limacon depends on the ratio of the two constants; if a be greater than b, the curve lies entirely outside the circle; if a equals b, it is known as a cardioid; if a is less than b, the curve has a node within the circle; the particular case when b= 2a is known as the trisectrix.

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  • The manufacturing industry of the province, which chiefly depends upon its mineral wealth, is very extensive.

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  • His philosophy consisted in an attempt to reconcile the doctrines of his teachers Philo of Larissa and Mnesarchus the Stoic. Against the scepticism of the former, he held that the intellect has in itself a sufficient test of truth; against Mnesarchus, that happiness, though its main factor is virtue, depends also on outward circumstances.

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  • In many cases, as in syphilis, aneurism, lead poisoning, &c., the life of the patient depends on the free and continued use of the iodide, and this is best to be accomplished by securing an absolutely pure supply of the salt.

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  • The significance of the term depends upon the character of the ethical system in which it occurs.

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  • The proper adjustment of the reins is the next thing to be attended to, and as the management of these depends so much upon the seat being firm and independent of the bridle the acquisition of a firm seat is certainly half-way towards the acquirement of good hands.

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  • It will therefore be seen that much depends on the rider having good hands.

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  • A rider with good hands never depends upon his reins for retaining his seat; nor does he pull at the horse's mouth so as to make him afraid to go up to his bit; nor again does he ever use more force than is necessary for the accomplishment of what he desires to perform.

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  • The pace at which a hunter should be ridden at his fences depends upon the nature of the fence, and the peculiarities of each individual horse.

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  • Much depends on the personal qualities of the president and his power of inspiring the people with trust in his courage and his uprightness.

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  • The temperature depends largely, of course, on altitude, so that one may quickly pass from perpetual snow above 8000 ft.

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  • This relieves the dropsy, but it does not cure the condition on which the dropsy depends.

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  • Whether crossing improves a given text or not depends ultimately on the knowledge and the judgment of the crosser, and these will vary indefinitely.

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  • The Epact J Depends On The Golden Number N, And Must Be Determined From The Fact That In 1582, The First Year Of The Reformed Calendar, N Was 6, And J 26.

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  • The quantity of mercury or shot inserted depends upon the density of the liquids for which the hydrometer is to be employed, it being essential that the whole of the bulb should be immersed in the heaviest liquid for which the instrument is used, while the length and diameter of the stem must be such that the hydrometer will float in the lightest liquid for which it is required.

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  • In the typical Australian and Papuan Hydromys, locally known as water-rats, the molars originally have transverse ridges, the enamel folds between which form cutting edges whose sharpness depends upon the degree to which the teeth have been worn, while the large hind feet are webbed.

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  • The prosperity of the town depends on the important works in its vicinity, including powder works, paper mills, and engineering, iron, chemical and cement works.

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  • The minor axis, on the other hand, is not constant, but, as we have already seen, depends on the latitude, being the product of the major axis into the sine of the latitude.

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  • When the molecule is losing energy the intensity of each kind of radiation depends principally on the rapidity with which it can be renewed by molecular impacts.

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  • The problem, which, in the opinion of the present writer, is the one of interest and has more or less definitely been in the minds of those who have discussed the subject, is whether the type of wave sent out by a molecule only depends on the internal energy of that molecule, or on other considerations such as the mode of excitement.

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  • The homogeneity of vibration may also be diminished by molecular impacts, but the number of shocks in a given time depends on pressure and we may therefore expect to diminish the width of a line by diminishing the pressure.

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  • We have now reduced the law for the bands to a form which we have found applicable to a series of lines, but with this important difference that while a in the case of line spectra is a small corrective term, it now forms the constant on which an essential factor in the appearance of the band depends.

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  • This view involves the denial of force as a cause, and the assertion that all we know about force is that the acceleration of one mass depends on that of another, as in mathematics a function depends on a variable; and that even Newton's third law of motion is merely a description of the fact that two material points determine in one another, without reciprocally causing, opposite accelerations.

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  • This angle depends on the ratio of the magnetic moment of the needle b to the total force of the earth's field.

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  • The hull of an iron or steel ship is a magnet, and the distribution of its magnetism depends upon the direction of the ship's head when building, this result being produced by induction from the earth's magnetism, developed and impressed by the hammering of the plates and frames during the process of building.

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  • The theory depends for its verification and application upon the fact that forces can be identified and classified.

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  • The validity of this definition depends on the assumption that operations of different kinds all agree in giving the same measure of time, such allowances as experience dictates being made for changing conditions.

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  • This limit depends on the nature of the two components, on the temperature and on the pressure.

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  • If a solid is immersed in a liquid a certain part of the energy of the system depends on, and is proportional to, the area of contact between solid and liquid.

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  • The theoretical form of the freezing point diagrams when solid solutions are present depends on the relation between the available energy and the composition in the two phases.

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  • But the most accurate test of the theory depends on measurements of freezing points.

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  • If V =V' there is no change in osmotic pressure with hydrostatic pressure, and osmotic pressure depends on concentration and temperature only.

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  • The volume of a gramme of water also depends on temperature and pressure.

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  • The osmotic pressure of a solution depends on the concentration, and, if we regard the difference in that pressure as the effective force driving the dissolved substance through the solution, we are able to obtain the equation of diffusion in another form.

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  • The power of coagulation of colloids shown by electrolytes depends in a curious manner on the chemical valency of the effective ion.

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  • When a gas is warmed one degree, the heat which must be supplied depends upon whether the operation is conducted at a constant volume or at a constant pressure, being greater in the latter case.

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  • The method of depositing depends on the situation.

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  • Among the industries are manufactures of cotton, lace and embroidered muslins, and carriage-building, and there are also large market gardens, the district being famed especially for its apples, and some dairy-farming; but the prosperity of the town depends chiefly upon the coal and ironstone of the surrounding country, which is the richest mineral field in Scotland.

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  • P. Mudge for rats, that in a cross between a coloured individual of known gametic purity and an albino, the individuals of the progeny in either the first or second, or both generations, may differ, and that the difference in some cases wholly depends upon the albino used.

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  • There is a large export of eggs to Alexandria; but the wealth of the place depends most on the famous "Latakia" tobacco, grown in the plain behind the town and on the Ansarieh hills.

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  • This explanation depends upon what is now an experimentally demonstrated fact that insectivorous birds, and probably other animals, have no instinctive knowledge of what insects are edible and what inedible.

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  • Since belief in the adequacy of the two theories, above outlined, to account for the facts they profess to explain, depends ultimately upon the testimony that can be brought forward of the usefulness of warning characters, of the deception of mimicry and of the capacity for learning by experience possessed by enemies, it is necessary to give some of the evidence that has been accumulated on these points.

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  • All the original records of the order until after 1416 have perished, and consequently the question depends for its settlement not on direct testimony but on inference from circumstances.

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  • The soredia are the most successful method of reproduction in lichens, for not only are some forms nearly always without spore-formation and in others the spores laregly abortive, but in all cases the spore represents only the fungal component of the thallus, and its success in the development of a new lichen-thallus depends on the chance meeting, at the time of germination, with the appropriate algal component.

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  • It is apparent that in many cases lichens are quite indifferent to the substrata on which they occur, whence we infer that the preference of several for certain substrata depends upon the temperature of the locality or that of the special habitat.

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  • Origen taught that a germ of the spiritual body is in the present body, and its development depends on the character, that perfect bliss is reached only by stages, that the evil are purified by pain, conscience being symbolized by fire, and that all, even the devil himself, will at last be saved.

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  • This question I have duly considered, and though I am not able to satisfy myself completely I am nearly persuaded that the circumstance depends on the weight and number of the ultimate particles of the several gases."

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  • It is the weight of a mass of metal which governs its financial value; its industrial value, in the vast majority of cases, depends on the volume of that mass.

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  • The bulk of the work has been done by voluntary societies, membership in which depends upon a pecuniary subscription, and the administration of which is entrusted to elected committees.

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  • Writings which bore his name were extant in antiquity; but as Aristotle, when he speaks of Thales's doctrine, always depends upon tradition, there can be little doubt that they were forgeries.

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  • Upon a view which may be taken of Mary's conduct during the next three months depends the whole debateable question of her character.

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  • He discovered the hydrostatic paradox that the downward pressure of a liquid is independent of the shape of the vessel, and depends only on its height and base.

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  • The best way of performing transplantation depends greatly on the size of the trees, the soil in which they grow, and the mechanical appliances made use of in lifting and transporting them.

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  • Though success in transplanting depends much on the humidity of the atmosphere, the most important requisite is warmth in the soil; humidity can be supplied artificially, but heat cannot.

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  • His success depends not alone on skill and judgment, for some seasons, or days even, are found more propitious than others.

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  • Much of the neatness of walks depends upon the material of which they are made.

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  • When prepared by drying and mixing with various substances, night-soil is sold as desiccated night-soil or native guano, the value of which depends upon the materials used for admixture.

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  • The value of wood ashes as a manure very much depends upon the carbonate and other salts of potash which they contain.

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  • The advantage depends on the obstruction given to the descent of the sap. The ring should be cut out in spring, and be of such a width that the bark may remain separated for the season.

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  • For this purpose its value depends on the proportion of sulphur present.

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  • The classification of the Mucorini depends on the prevalence and characters of the conidia, and of the sporangia and zygospores - e.g.

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  • Moreover, the quality of the resultant steel depends upon the temperature of the process, and this in turn depends upon the proportion of silicon, the combustion of which is the chief source of the heat developed.

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  • The proportion of pig to scrap used depends chiefly on the relative cost of these two materials, but sometimes in part also on the carbon-content which the resultant steel is to have.

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  • But cast iron for the basic open-hearth process can be made from almost any ore, because its requirements, comparative freedom from silicon and sulphur, depend on the management of the blast-furnace rather than on the composition of the ore, whereas the phosphorus-content of the cast iron depends solely on that of the ore, because nearly all the phosphorus of the ore necessarily passes into the cast iron.

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  • They are limited in quantity and costly, and the trade depends upon various sorts of other sheep and goat wools for the bulk of its productions.

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  • Theodolites are designed to measure horizontal angles with greater accuracy than vertical, because it is on the former that the most important work of a survey depends; measures of vertical angles are liable to be much impaired by atmospheric refraction, more particularly on long lines, so that when heights have to be determined with much accuracy the theodolite must be discarded for a levelling instrument.

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  • His disappointment at its reception was great; and though he never entirely relinquished his metaphysical speculations, though all that is of value in his later writings depends on the acute analysis of human nature to which he was from the first attracted, one cannot but regret that his high powers were henceforth withdrawn for the most part from the consideration, of the foundations of belief, and expended on its practical applications.

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  • Dealing with the phenomena of interest, he exposes the old fallacy that the rate depends upon the amount of money in a country; low interest does not follow on abundance of money.

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  • The town depends chiefly on agriculture; but the manufacture of hose is carried on to a small extent, and there are also coachbuilding works.

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  • The defence of Belgium depends on five fortified positions.

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  • The town is of modern growth and depends upon its cotton mills and the large collieries in the neighbourhood.

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  • Harnack's second argument depends for its validity upon certain conclusions with regard to the date of James and I Peter, which are not universally accepted.

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  • The emissivity really depends on every variety of condition, such as the size, shape and position of the surface, as well as on its nature; it varies with the rate of cooling, as well as with the temperature excess, and it is generally so difficult to calculate, or to treat in any simple manner, that it forms the greatest source of uncertainty in all experimental investigations in which it occurs.

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  • Conductivity and viscosity in a gas should vary in a similar manner since each depends on diffusion in a similar way.

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  • It is still, territorially, the largest province of the empire, and includes some of the most fertile lands in the Euphrates-Tigris valleys; but while possessing great possibilities for fertility, by far the larger portion of the vilayet is to-day a desert, owing to the neglect of the irrigation canals on which the fertility of the valley depends.

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  • Irrigation effected by river-fed canals naturally depends on the regimen of the rivers.

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  • Some crops of course require water much oftener than others, and much depends on the temperature at the time of irrigation.

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  • The size of this depends water is usually preferable for grass land, thick for y P g upon the quantity of water required, but whatever its size its bottom at its origin should be as low as the bed of the river, in order that it may carry down as much as possible of the river mud.

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  • The depth of the feeders depends on their width, and the width on their length.

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  • For the summer irrigation Italy depends on the glaciers of the Alps; and the great torrents of the Dora Baltea and Sesia can be counted on for a volume exceeding 6000 cub.

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  • In the November of each year it is decided how much water is to be given to each parish in the year following, and this depends largely on the number of acres of each crop proposed to be watered.

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  • It is on inundation canals such as these that the whole cultivation of Sind depends.

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  • This increase was not due to famine in Sind, for that rainless province depends always on the Indus, as Egypt does on the Nile, and where there is no rainfall there can be no drought.

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  • Only Armenia, the Persian Empire, and the neighbouring regions of the East are independently described from local information, and on these sections the value of the little work depends.

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  • This and other symptoms caused serious apprehension that some attempt might be made to alter the law of universal suffrage for the Reichstag, and it was policy of this kind which maintained and justified the profound distrust of the governing classes and the class hatred on which Social democracy depends.

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  • On these the prosperity of the province largely depends.

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  • The prosperity of Drammen depends mainly on the timber trade; and saw-milling is an active industry, the logs being floated down the river from the upland forests.

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  • In the case of membership of a voluntary association (club, &c.) the right of expulsion depends upon the rules, and must be exercised in good faith.

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  • The extent to which it renders aurora invisible depends, however, so much on the natural brightness of the aurora - which depends on the time and the place - and on the sharpness of the outlook kept, that it is difficult to gauge it.

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  • The estimate depends in the case of reading type on the general illumination.

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  • The application of this law gives great power to the government, for everything depends on what is meant by landesiiblich, and it rests with them to determine when a language is customary.

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  • Since Mahomet's strength lay in his enthusiastic and fiery imagination rather than in the wealth of ideas and clearness of abstract thought on which exact reasoning depends, it follows that the older suras, in which the former qualities have free scope, must be more attractive to us than the later.

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  • This again depends upon the fertilizing sediment brought down by the Nile and the measure in which lands beyond the natural reach of the flood water can be rendered productive by irrigation.

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  • The kind of crops cultivated depends largely on whether the land is under perennial, flood or basin irrigation.

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  • A larger proportion of the records on stone have survived, but that an event should be inscribed on stone depends on a variety of circumstances and not necessarily on its importance.

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  • By mitigating the hardships of the corve, and improving the irrigation system, on which the prosperity of the country mainly depends, he had conferred enormous benefits on the fellahin, and had laid the foundation of permanent budgetary equilibrium for the future.

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  • Moreover, by the processes the subject has gone through he has had those physiological activities upon which his volitional power depends excessively deranged, and not improbably permanently enfeebled.

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  • In dealing with the news, the Naval and Military authorities should consider not only our enemies and the army in the field, but the commercial and industrial classes at home, upon whom so much depends.

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  • The important part played by the mineral in the history of commerce and religion depends on this fact; at a very early stage of progress salt became a necessary of life to most nations, and in many cases they could procure it only from abroad, from the sea-coast, or from districts like that of Palmyra where salty incrustations are found on the surface of the soil.

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  • The Hanifite rite is official in the Turkish Empire, and is followed in all government offices whenever a decision still depends on the sacred law, as well as by all Mahommedans of Turkish race.

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  • Fertilization has been observed at Naples; but it apparently depends on climatic conditions, as at Plymouth the oospheres have been observed to germinate parthenogenetically.

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  • The setting of plaster of Paris depends on the fact that when 2CaS04 H20 is treated with water it dissolves, forming a supersaturated solution of CaS04.2H20.

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  • The number of his astronomical publications exceeds 150, but his reputation depends mainly on¢ his earlier work at Greenwich and his two great star catalogues - the Cape Catalogue for 1880 and the Radclife r 'Catalogue for 1890.

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  • Differing from the typical oasis, whose fertility depends on water obtained from springs, the cultivated land in the Fayum is formed of Nile mud brought down by the Bahr Yusuf.

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  • The organism is not a passive medium; the amount and nature of the response it makes to the action of environment depends on its own qualities, and these qualities, on any theory of inheritance, pass from generation to generation.

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  • Agriculture.-The agricultural industries on which the export trade depends are almost wholly restricted to the western lowlands, and include cacao, coffee, cotton, sugar, tobacco, rice, yucca and sweet potatoes.

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  • Cereals are produced in considerable quantities in the hinterlands of Mohammerah and Bushire and in the intervening coastal strip; the rest of the Gulf largely depends on imports from this part of Persia or from India.

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  • For them Israel is the centre of the world, the point around which all other things revolve - every other people derives its claim to consideration from its relation to Israel - the only subject deserving attention is the extent of the Jewish nation's obedience or disobedience to its divinely given law, on which depends its prosperity or its adversity.

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  • The order of the categories is in the main outlines fixed; but in the minor details much depends upon the philosopher, who has to fill in the gaps between ideas, with little guidance from the data of experience, and to assign to the stages of development names which occasionally deal hardly with language.

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  • The perfection of art depends on the degree of intimacy in which idea and form appear worked into each other.

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  • But Egmont depends for its interest almost solely on two characters, Egmont himself and Klarchen, Gretchen's counterpart; regarded as a drama, it demonstrates the futility of that defiance of convention and rules with which the Sturm and Drang set out.

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  • Apart from unimportant manufactures of pottery, chocolate, &c., fishing is the only industry; Biarritz depends for its prosperity on the visitors who are attracted by its mild climate and the bathing.

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  • The influence of a superior power upon the culture of a people cannot of course be denied; but history proves that it depends upon the resemblance between the two peoples and their respective levels of thought, and that it is not necessarily either deep or lasting.

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  • In property succession there is a feeling of tribal aloofness which would not be favourable to a central authority; and in fact the legal machinery is rude, and the carrying out of the law depends not so much upon courts and officials as upon religious considerations.

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  • Its value as a dyestuff depends on its power of forming insoluble compounds (lakes) with metallic oxides.

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  • Whether the fertilized egg shall develop into a queen or a worker depends upon the nature of the food.

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  • The magnifying power obviously depends on the proportion of the focal length of the object-lens to that of the eye-lens, that is, magnifying power where F is the focal length of the object-lens and e that of the eye-lens.

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  • The mere size of the apparent field of view depends upon obtaining the oblique pencils of light emerging from it to cross the axis at the great possible angle, and to this end the presence of a field-lens is indispensable, which is separated from the eye-lens by a considerable interval.

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  • For transportation facilities the town depends upon the railways serving Hoboken and Jersey City.

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  • There are sugar factories, where rum is also distilled and a few other manufactures, but the prosperity of the province depends on the "jungle" products obtained through the natives and from the plantations owned by Portuguese and worked by indentured labour, the labourers being generally "recruited" from the far interior.

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  • The soil is suitable for the cultivation of almost all kinds of tropical produce, and it is to be regretted that the prosperity of the colony depends almost entirely on one article of production, for the consequences are serious when there is a failure, more or less, of the sugar crop. Guano is extensively imported as a manure, and by its use the natural fertility of the soil has been increased to a wonderful extent.

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  • In any case it is necessary to specify the temperature, and sometimes also the pressure, since the specific heat of a substance generally depends to some extent on the external conditions.

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  • The bad conductors take so long to reach a steady state that the rate of loss of heat at any moment depends on the past history more than on the temperature of the calorimeter at the moment.

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  • The accuracy of the work in each case depends principally on the skill and ingenuity of the experimentalist in devising methods of eliminating the various sources of error.

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  • The advantage of the method is that there is no transference or mixture; the defect is that the whole measurement depends on the assumption that the rate of loss of heat is the same in the two cases, and that any variation in the conditions, or uncertainty in the rate of loss, produces its full effect in the result, whereas in the previous case it would only affect a small correction.

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  • Other sources of uncertainty are, that the rate of loss of heat generally depends to some extent on the rate of fall of temperature, and that it is difficult to take accurate observations do a rapidly falling thermometer.

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  • The numerical value of the mechanical equivalent necessarily depends on the particular units of heat and work employed in the comparison.

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  • The Absolute Value Of The Specific Heat Deduced Necessarily Depends On The Absolute Values Of The Electrical Standards Employed In The Investigation.

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  • But For The Determination Of Relative Values Of Specific Heats In Terms Of A Standard Liquid, Or Of The Variations Of Specific Heat Of A Liquid, The Method Depends Only On The Constancy Of The Standards, Which Can Be Readily And Accurately Tested.

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  • Many Of The Uncertainties In The Reduction Of Older Experiments, Such As Those Of Regnault, Arise From Uncertainty In Regard To The Unit In Terms Of Which They Are Expressed, Which Again Depends On The Scale Of The Particular Thermometer Employed In The Investigation.

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  • Once acquired the habitué depends on the drug for a comfortable existence, and as the organism becomes quickly tolerant of the alkaloid the original dose no longer suffices.

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  • There is some over-lapping of these two classes as regards length of period, and it is doubtful in which class some stars, whose periods are between io days and 150 days, should be placed; but the two classes are quite distinct physically, and the variability depends on entirely different causes.

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  • The spectroscope only yields information about the thin outer envelope of the star; and even here elements may be present which do not reveal themselves, for the spectrum shown depends very greatly on the temperature and pressure.

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  • The greatest temperature attained is not the same for all stars, but depends on the mass of the star.

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  • It depends on the rapidity with which convection currents can supply heat from the interior to replace that radiated, and on a number of other nicely balanced circumstances which cannot well be calculated.

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  • The motion of the sun relative to the stars depends on what stars are selected as representative.

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  • This result depends on the northern stars only.

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  • His fate after conviction depends on his sentence.

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  • A system of progressive stages based on the mark system has been adopted in the local prisons, and the prisoner's progress through each depends on his own industry and good conduct.

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  • Every day's work is gauged and marks recorded according to its value; upon the total earned depends his passage through the stages or classes which regulate his diet and general treatment, and more especially his interviews and communications with his relations and friends.

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  • Early release depends upon the reports on industry and conduct, and the prospect of his keeping straight if set free.

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  • Thenceforth it is not the contingents of the Arabic tribes which compose the army, and on whom the government depends; the new dynasty relies on a standing army, consisting for the greater part of non-Arabic soldiers.

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  • The abovequoted assertion as to the substantial identity between philosophy and religion is indeed repeated almost totider y n verbis by many of the later scholastic writers, but its significance altogether depends upon the selection of one or other term of the identity as fundamental or primary.

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  • So far as it depends on memory, an inferential judgment presupposes memorial ideas in its data; and so far as it infers universal classes and laws, it produces general ideas.

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  • The judgment, " A non-existent but so-called square circle is an impossibility," is an unconditional, or categorical judgment of non-existence, quite different from any hypothetical judgment, which depends on the conditions " if it is thought," or " if it exists," or any other " if."

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  • Rightly, if we add that he gives no theory of either, and that his practical use of the latter depends for its value on selection.'

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  • It brings in the choice of an interlocutor at each stage, and so depends on a concession for what it should prove.'

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  • It is probable that osmotic pressure is not really of the same nature as gas-pressure, but depends on equilibrium of vapour-pressure.

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  • If the saturated vapour behaves as a perfect gas, the change of intrinsic energy E depends only on the temperature limits, and is equal to s (8-00), where s is the specific heat at constant volume.

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  • The treatment in such latter cases necessarily varies, since the symptom itself may be remedial, but in ordinary cases depends on the removal of the cause of irritation by the use of aperients, various sedatives being also prescribed.

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  • Its prosperity depends chiefly on agriculture and it has a considerable trade in cattle.

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  • The whole of the iron production of the Urals depends also on the same fair.

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  • The fine winter climate of Algeciras attracts many invalid visitors, on whom the town largely depends for its prosperity.

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  • Now the second presupposition depends, according to Paley, on the credibility of the Christian religion (which he treats almost exclusively as the revelation of these "new sanctions" of morality).

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  • The argument of these books, however, depends in turn upon the assumption of a benevolent Creator desirous of communicating with His creatures for their good; and the Natural Theology, by applying the argument from design to prove the existence of such a Deity, becomes the foundation of the argumentative edifice.

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  • His idea of revelation depends upon the same mechanical conception of the relation of God to the world which dominates his Natural Theology; and he seeks to prove the divine origin of Christianity by isolating it from the general history of mankind, whereas later writers find their chief argument in the continuity of the process of revelation.

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  • During this period he acted as conductor at court concerts and on special occasions at the theatre, gave lessons to a number of pianists, wrote articles of permanent value on certain works of Berlioz and the early operas of Wagner, and produced those orchestral and choral pieces upon which his reputation as a composer mainly depends.

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  • The deposition of Romulus Augustulus, the last Roman emperor in the West, in 476, was certainly not one of those events upon which the history of the Western world depends.

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  • Hence the character of the orbit depends on whether the velocity at any point is, less than, equal to, or greater than the velocity from infinity, as it is called.

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  • If the joint be provided either with projections and recesses, such as murtises and tenons, or with fastenings, such as pins or bolts, so as to resist displacement by sliding, the question of the utmost amount of the tangential resistance CQ which it is capable of exerting depends on the strength of such projections, recesses, or fastenings; and belongs to the subject of strength, and not to that of stability.

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  • In other cases the safety of the joint against displacement by sliding depends on its power of exerting friction, and that power depends on the law, known by experiment, that the friction between two surfaces bears a constant ratio, depending on the nature 01 the surfaces, to the force by which they are pressed together.

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  • DefinitionsAn elementary combination in mechanism consists of two pieces whose kinds of motion are determined by their connection with the frame, and their comparative motion by their connection with each otherthat connection being effected either by direct contact of the pieces, or by a connecting piece, which is not connected with the frame, and whose motion depends entirely on the motions of the pieces which it connects.

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  • It is seldcm that one of these effects is produced without at the same time producing the other; but the classification of Willis depends upon which of those two effects, even supposing them to occur together, is the practical object of the mechanism.

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  • Its moment is found by multiplying the normal pressure between the rolling surfaces by an arm, whose length depends on the nature of the rolling surfaces, and the work lost in a unit of time in overcoming it is the product of its moment by the angular velocity of the rolling surfaces relatively to each other.

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  • For a given link, this force isthe resultant of all the accelerating forces distributed through the substance of the material of the link required to produce the requisite acceleration of each particle, and the determination of this force depends upon the principles of the two preceding sections.

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  • Further down, where the test of water no longer applies, the status of the caste depends on the nature of its occupation and its habits in respect of diet.

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  • It is not possible, however, by this method to entirely reproduce the character of the wine from which the yeast is derived inasmuch as this depends on other factors as well, particularly the constitution of the grape juice, conditions of climate, &c. The other micro-organisms naturally present in the must which is pitched with the pure culture are not without their influence on the result.

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  • This age naturally depends upon the character of the wine and on the vintage.

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  • Thus the amount and character of public ex penditure necessarily depends on the functions that the state undertakes to perform - national defence, the maintenance of internal' order, and the efficient equipment of the state organization; such are the tasks that all governments have to discharge, and for their cost due provision has to be made.

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  • The rise of political utilitarianism illustrates most strikingly the way in which the value and dignity of philosophical principles depends on the purpose to which they are applied.

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  • The earl's affairs were then at a somewhat critical stage, and as our judgment upon a most important episode in Bacon's life depends upon our knowledge of the events of the ensuing year, it will be requisite to enter somewhat minutely into proceedings with which Bacon himself had nothing to do.

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  • But this view of the matter depends on the supposition that Essex was guilty only of a rash outbreak.'

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  • With regard to the first., in ultimate result it depends upon the theory of forms; for whenever the compound body can be regarded as the sum of certain simple natures, then our knowledge of the forms of these natures gives us the power of superinducing a new nature on the concrete body.

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  • Thus, in all cases, scientific explanation depends upon knowledge of forms; all phenomena or secondary qualities are accounted for by being referred to the primary qualities of matter.

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  • It is usually inexpedient to apply manure directly to the flax crop, as the tendency of this is to produce over-luxuriance, and thereby to mar the quality of the fibre, on which its value chiefly depends.

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  • The exact time, however, depends upon the weather and upon the particular kind of water in which the flax is immersed.

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  • Among other advantages claimed for this press one is that the movement which governs the action of the type bed in reversing is so arranged that the strain which sometimes occurs in other reciprocating machines is considerably reduced; another is that the registering or correct backing of the pages on the second side in printing is uncommonly good; but this depends much upon the layer-on.

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  • In so far as tribal eminence depends on superior skill or courage or wisdom, the germs of ethical differentiation may be discovered even here.

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  • The other items of cost are labour, the quantity of which depends on the mechanical appliances provided for handling the converter shells and inserting the lining; and the blast, which in barrel-shaped converters is low and in vertical converters is high, and which varies therefore from 3 to is lb to the square inch.

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  • The choice of sulphuric or hydrochloric acid depends mainly upon the cost, both acting with about the same rapidity; thus if a Leblanc soda factory is near at hand, then hydrochloric acid would most certainly be employed.

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  • Hence the composition and acidity of the solution, on which so much depends, must be constantly watched.

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  • The electrical pressure required to force a current of this intensity through the solution, and to overcome a certain opposing electromotive force arising from the more electro-negative impurities of the anode, depends upon the composition of the bath and of the anodes, the distance between the electrodes, and the temperature, but under the usual working conditions averages o-3 volt for every pair of electrodes in series.

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  • The time of sowing extends from the middle of March to the middle of June, while the reaping, which depends upon the time of sowing and upon the weather, is performed from the end of June to the middle of October.

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  • The crop naturally depends upon the quality of the soil, and upon the attention which the fibre has received in its various stages; the yield per acre varies in different districts.

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  • The proximity of the weighted roller or rollers to the fixed ones depends upon the large cylinder.

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  • He showed, both by analysis and by synthesis, that quality depends on the order, number and intensity of the overtones or harmonics that may, and usually do, enter into the structure of a musical tone.

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  • The pitch of a vowel for a singer depends on the resonance of the mouth which the singer has formed using the cavity of their mouth while they are singing.

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  • Fitzgerald was the first to attempt to measure the length of electric waves; Helmholtz put the problem into the hands of his favourite pupil, Heinrich Hertz, and the latter finally gave an experimental demonstration of electromagnetic waves, the "Hertzian waves," on which wireless telegraphy depends, and the velocity of which is the same as that of light.

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  • The number of years before flowering occurs depends on the vigour of the individual, the richness of the soil and the climate; during these years the plant is storing in its fleshy leaves the nourishment required for the effort of flowering.

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  • Unlike those states, it depends in great part on mining and its allied occupations.

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  • From this it follows that correctness of drawing depends solely upon the principal rays; and is independent of the sharpness or curvature of the image field.

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  • A sandy soil seems to suit it best, and the quality of the wood probably much depends on its place of growth.

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  • Upon this, in fact, depends the whole future of the industry, since it is not probable that any system of artificial breeding can be devised which will render it possible to keep up a supply without at least occasional recourse to seed oysters produced under natural conditions.

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  • For the cow is the animal which voluntarily yields nourishment to man and aids him in his daily labors, and on it depends the industry of the peasant as contrasted with the wild desert brigand to whom the cow is unknown.

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  • The Proprium Sanctorum contains the lessons, psalms and liturgical formularies for saints' festivals, and depends on the days of the secular month.

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  • The phenomenon, which depends upon the inequalities of the moon's limb, was so vividly described by him as to attract an unprecedented amount of attention to the totality of the 8th of July 1842, observed by Baily himself at Pavia.

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  • There can be little doubt that the intensity of inflammation frequently depends very much on the condition of the blood, and that by altering the blood inflammation may be lessened.

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  • This disease depends upon the presence of a bacillus which grows rapidly at the back of the throat and in the airpassages specially of children, causing the formation of a membrane which, by plugging the windpipe, causes suffocation and death.

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  • The health of the body depends upon the proper kind and supply of food, upon its proper digestion and absorption, on the proper metabolism or tissue-change in the body, and the proper excretion of waste.

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  • Its use in soldering depends on the fact that solder only adheres to the surface of an untarnished metal, and consequently a little borax is placed on the surface of the metal and heated by the soldering iron in order to remove any superficial film of oxide.

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  • It was a momentous step, the essential prePassing of liminary to that fusion of the white races of South Act of Africa upon which the prosperity of the country depends; and a step rendering easier the ultimate 1909.

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  • The right to issue the writ depends on the common law, supplemented by an act of 1802.

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  • It need not be objected to the justice of this arrangement that men are sorely tempted, and may very easily be brought to neglect that on which their future welfare depends, for the very same holds good in nature.

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  • On the view taken as to his alleged complicity in the conspiracy of 1599 depends the vexed question as to whether this system was a philosophic dream, or a serious attempt to sketch a constitution for Naples in the event of her becoming a free city.

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  • Yet, with a decreasing Indian population, and with a white population wanting in energy, barely able to hold its own and comprising only one-eighth of the total, the future of Bolivia mainly depends on them.

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  • In like manner we may by experiment ascertain the general fact that the surface of a liquid is in a state of tension similar to that of a membrane stretched equally in all directions, and prove that this tension depends only on the nature and temperature of the liquid and not on its form, and from this as a secondary physical principle we may deduce all the phenomena of capillary action.

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  • The only difference is in the manner in which this quantity H depends on the law of the molecular forces and the law of density near the surface of the fluid, and as these laws are unknown to us we cannot obtain any test to discriminate between the two theories.

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  • When a solid body is in contact with two fluids, the surface of the solid cannot alter its form, but the angle at which the surface of contact of the two fluids meets the surface of the solid depends on the values of the three surface-tensions.

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  • If a and b are the two fluids and c the solid then the equilibrium of the tensions at the point 0 depends only on that of thin components parallel to the surface, because the surface-tensions normal to the surface are balanced by the resistance of the solid.

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  • We Will Assume That When, As In Most Cases, Viscosity Maybe Neglected, The Mass (M) Of A Drop Depends Only Upon The Density (V), The Capillary Tension (T), The Acceleration Of Gravity (G), And The Linear Dimension Of The Tube (A).

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  • The tension of the surface of contact of mercury and dilute sulphuric acid depends on the electromotive force acting between the mercury and the acid.

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  • Indeed the possibility of the continued existence of films, such as constitute foam, depends upon the properties now under consideration.

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  • The tension of the sheet of india-rubber, however, depends on the extent to which it is stretched, and may be different in different directions, whereas the tension of the surface of a liquid remains the same however much the film is extended, and the tension at any point is the same in all directions.

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  • The capillary tension endeavours to contract the surface of the fluid; so that the stability, or instability, of the cylindrical form of equilibrium depends upon whether the surface (enclosing a given volume) be greater or less respectively after the displacement than before.

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  • The relative importance of two harmonic disturbances depends upon their initial magnitudes, and upon the rate at which they grow.

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  • Thus the length of the continuous portion necessarily depends upon the character of the disturbances in respect of amplitude and wave-length.

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  • Since the phase of vibration depends upon the time elapsed, it is always the same at the same point in space, and thus the motion is steady in the hydrodynamical sense, and the boundary of the jet is a fixed surface.

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  • When Pasteur in 1857 showed that the lactic fermentation depends on the presence of an organism, it was already known from the researches of Schwann (1837) and Helmholtz (1843) that fermentation and putrefaction are intimately connected with the presence of organisms derived from the air, and that the preservation of putrescible substances depends on this principle.

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  • It has long been known that the production of vinegar depends on the oxidization of the alcohol in wine or beer to acetic acid, the chemical process being probably carried out in two stages, viz.

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  • In the lastmentioned disease even the local multiplication depends upon the presence of other bacteria, as the tetanus bacillus has practically no power of multiplying in the healthy tissues when introduced alone.

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  • The theory also supplies the explanation of the power which an animal possesses of producing various antitoxins, since this depends ultimately upon susceptibility to toxic action.

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  • The phenomenon of agglutination depends essentially on the union of molecules in the bacteria - the agglutinogens - with the corresponding agglutinins, but another essential is the presence of a certain amount of salts in the fluid, as it can be shown that when agglutinated masses of bacteria are washed salt-free the clumps become resolved.

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  • This apparently depends upon some alteration in the cells of the body, but its exact nature is not known.

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  • This, as already pointed out, depends upon the increase of opsonins, though it is also to be noted that in many infective conditions there is another factor present, namely a leucocytosis, that is, an increase of the leucocytes in the blood, and the defensive powers of the body are thereby increased.

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  • His Treatise of Taxes and Contributions contains a clear statement of the doctrine that price depends on the labour necessary for production.

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  • With regard to his birth, parentage, youth, and education everything depends upon this tradition, and it is not until he was according to one extreme hypothesis thirty-six, according to the other extreme twenty-four, that we have solid testimony respecting him.

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  • What remains of the fifth decade depends on the 5th century Laurishamensis or Vindobonensis from the monastery of Lorsch, edited at Basel in 1531.

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  • The average amount of Turkish opium exported is 7000 chests, but in rare seasons amounts to 12,000 chests, but the yield depends upon fine weather in harvest time, heavy rains washing the opium off the capsules, and lessening the yield to a considerable extent.

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  • That God desires that all should be saved, and that the salvation of each depends on his own choice - these are the general convictions of modern theology.

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  • The extent to which the properties of silver are modified by addition of copper depends on the fineness of the alloy produced.

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  • Upon whatsoever principle the rightness of an action depends, its performance is right for the agent.

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  • It is on the plankton that a great part of the higher animal life of the sea ultimately depends for food.

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  • Another discussed conduction in curved sheets; a third the distribution of electricity in two influencing spheres; a fourth the deter mination of the constant on which depends the intensity of induced currents; while others were devoted to Ohm's law, the motion of electricity in submarine cables, induced magnetism, &c. In other papers, again, various miscellaneous topics were treated - the thermal conductivity of iron, crystalline reflection and refraction, certain propositions in the thermodynamics of solution and vaporization, &c. An important part of his work was contained in his Vorlesungen fiber mathematische Physik (1876), in which the principles of dynamics, as well as various special problems, were treated in a somewhat novel and original manner.

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  • Their permanence depends not upon their importance, but upon the durability of the substance on which they are inscribed.

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  • Scientific history depends upon implements.

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  • Taken as a whole, the Western Division depends for its prosperity on mineral products and manufactures rather than on farming; and the staple of the farmers is live-stock rather than agriculture.

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  • The auditor is a district auditor appointed by the Local Government Board under the District Auditors Act 1879, and in respect of the audit the council is charged with a stamp duty, the amount of which depends on the total of the expenditure-comprised in the financial statement.

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  • Our estimate of the extent of Pamir conformation depends much on the significance of the word Pamir.

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  • The external unlikeness of the apes to man depends much on their hairiness, but this and some other characteristics have no great zoological value.

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  • No doubt the difference between man and the apes depends, of all things, on the relative size and organization of the brain.

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  • On this distinction in great measure depends the celebrated " facial angle," measured by Camper as a test of low and high races; but this angle is objectionable as resulting partly from the development of the forehead and partly from the position of the jaws.

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  • The testa is thin and membranous but occasionally coloured, and the embryo small, the great bulk of the seed being occupied by the hard farinaceous endosperm (albumen) on which the nutritive value of the grain depends.

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  • Turfor meadowformation depends upon uniform rainfall.

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  • What this is in a given case depends on a multitude of circumstances, external and internal, all contributing to form the " cause " of which the voluntary act and its consequences are the " effect."

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  • And that the right or wrong of choice depends not on the cause of choice but on its nature, he illustrates by the example of Christ, whose acts were necessarily holy, yet truly virtuous, praiseworthy and rewardable.

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  • The safety of the structure depends upon the preservation of the absolute integrity of the cage.

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  • For the proper and successful erection of the frame much depends upon an accurate alinement of the column bases.

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  • The spacing, or distance from centre to centre of the floor beams, will depend upon the type of fire-proof flooring employed; it also depends to a considerable extent upon the amount and character of the floor load and the length of span.

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  • The permissible height to which a building may be erected on the continent of Europe depends largely on the breadth of the road on which such buildings are situated.

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  • It is manufactured from the magnesium bromide contained in "bittern" (the mother liquor of the salt industry), by two processes, the continuous and the periodic. The continuous process depends upon the decomposition of the bromide by chlorine, which is generated in special stills.

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  • Apart from fisheries the wealth of the islands depends upon agriculture, and the industries connected therewith.

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  • It depends on the partial pressure of the oxygen and also on temperature.

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  • These gratings consist of pieces of metal or glass ruled by means of a diamond point with a very large number of parallel lines, on the extreme accuracy of which their efficiency depends.

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  • As to her " supranormal " faculties, a matter concerning which belief largely depends on the point of view, it is to be remarked that Quicherat, a freethinker wholly devoid of clerical influences, admits them (Apercus nouveaux, 1850), saying that the evidence is as good as for any facts in her history.

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  • Julius's phenomenon seems inseparable from grazing incidence, and hence any explanation it supplies depends upon his hypothetical tubular structure for layers of equal density.

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  • Their value, consequently, depends very much on that of the sources to which they happen to have recourse for any given period of history, and on the fidelity of their adherence to these when valuable.

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  • On our action now depends the question whether our children shall curse or bless us; whether we shall live in their memory as promoters of civil strife, with all its miserable consequences, or as joint architects of a happy, prosperous and united state.

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  • This cannot be determined from the rainfall; it entirely depends upon the power of the soil and rock to store water in the particular area under consideration, and to yield it continuously to the stream by means of concentrated springs or diffused seepage.

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  • Again, the loss from a given rainfall depends greatly upon the previous season.

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  • Thus the actual yield of rainfall to the streams depends largely upon the mode of its time-distribution, and without a knowledge of this it is impossible to anticipate the yield of a particular rainfall.

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  • The resistance of clay to percolation by water depends chiefly upon the density of the clay, while that density is rapidly reduced if the clay is permitted to absorb water.

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  • The height to which the water is permitted to rise above the sill of the overflow depends upon the height of the embankment above that level (in the United Kingdom commonly 6 or 7 ft.), and this again should be governed by the height of possible waves.

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  • Yet it cannot be too constantly urged that such filtration depends for its comparative perfection upon the surface film; that this surface film is not present when the filter is new, or when its materials have been recently washed; that it may be, and very often is, punctured by the actual working of the filters, or for the purpose of increasing their discharge; and that at the best it must be regarded as an exceedingly thin line of defence, not to be depended upon as a safeguard against highly polluted waters, if a purer source of supply can possibly be found.

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  • In well-equipped waterworks each house service pipe is controlled by a stop-cock accessible from the footpath to the officials of the water authority, and the process of waste detection by this method depends upon the manipulation of such stop-cocks in conjunction with the differentiating meter.

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  • The two spirits of antagonism and association are the two great social principles, and on the degree of prevalence of the two depends the character of an epoch.

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  • It is a vague principle, of which the ethical character depends on the interpretation; and it was variously interpreted in the school of Saint-Simon.

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  • Much of the success of draining depends on the skilful planning of these main drains, and in making them large enough to discharge the greatest flow of water to which they may be exposed.

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  • The sensitiveness of scale-beams depends entirely upon the skill and care used in their construction.

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  • And the weight of air displaced depends upon the density of the air at the time of weighing, and therefore the barometer reading must be taken.

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  • The accuracy of spring machines depends upon the accuracy of the springs and the workmanship of the machines.

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  • In this region the mountains have an upper, or cold, timber line, the height of which depends upon the severity of the climate, and a lower, or dry, timber line, which is determined by the amount of rainfall.

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  • But its chief technical application depends upon the formation of sulphonic acids when it reacts with aromatic hydrocarbon residues; these compounds being important either as a step towards the preparation of hydroxy-compounds, e.g.

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  • It is probable enough that smaller fishes are attracted in this way, but experiments have shown that the action of the jaws is automatic and depends on contact of the prey with the tentacle.

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  • The process depends on (ii) of § 45, in the extended form that, if x is a factor of a and b, it is a factor of pa-qb, where p and q are any integers.

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  • This is the usual method; but the relative accuracy of two numbers expressed to the same number of significant figures depends to a certain extent on the magnitude of the first figure.

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  • Expression in L and decimals of LI is usually recommended, but it depends on circumstances whether some other method may not be simpler.

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  • Calculation of Square Root.-The calculation of the square root of a number depends on the formula (iii) of § 60.

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  • One of the important functions of a fold is its direction; this of course depends upon the orientation of the axial plane.

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  • Duration of life in ticks depends upon the conditions of their existence.

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  • Even the Chronicle becomes meagre a few years after Alfreds death, and its value depends largely upon the ballads which it incorporates; nor is it materially supplemented by the lives of St Dunstan, for hagiologists have never treated historical accuracy as a matter of moment; and our knowledge of the last century of AngloSaxon history is derived mainly from Anglo-Norman writers who wrote after the Norman Conquest.

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  • Hair having a property of mutual cohesion or " felting," which depends upon a roughened scaly surface and a tendency to curl, as in domestic sheep, is called " wool."

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  • The hydrocarbons, upon which the luminosity of the flame entirely depends, are divided in the analysis into two groups, saturated and unsaturated, according to their behaviour with a solution of bromine in potassium bromide, which has the power of absorbing those termed "unsaturated," but does not affect in diffused daylight the gaseous members of the "saturated" series of hydrocarbons.

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  • The action of oxide of iron, which has now partly replaced the lime purification, depends on its power of combining with sulphuretted hydrogen to form sulphide of iron.

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