According-as sentence example

according-as
  • But we gather that in two directions our reason is bound up with bodily conditions, which make or mar it, according as the will, or central energy of thought, is true to itself or not.
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  • During this time he went from one city to the other, according as the danger was more pressing, and constantly displayed an admirable zeal and an imperturbable energy.
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  • The oxide is a black or brown powder according as it is prepared from the exalate or sulphate, and when pure it is non-fluorescent, but mixed with gadolinia or alumina it possesses this property.
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  • Incoming currents pass from line through one coil of the relay, the key, and either the battery or battery resistance, according as whether the key is raised or depressed.
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  • Hence according as the trains of oscillations are long or short so is the sound heard in the telephone, and these sounds can be arranged on the Morse code into alphabetic audible signals.
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  • Though many types of manually operated switchboards have been brought into use, differing from each other in respect of circuit and working arrangements, yet each of them may be placed in one or other of three main classes according as the system of working is magneto, call-wire, or common battery.
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  • There are various categories of inquilinaggio, according as rent is paid in money or in kind.
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  • Henceforward ~ Italy changed masters according as one or other of the German families assumed supremacy beyond the Alps.
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  • Later theists may be grouped according as their thought has been remoulded or not by the influences of Kant.
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  • The subsequent development is slightly different according as the future cormus is headed by a pneumatophore (Physophorida, Cystophorida) or by a nectocalyx (Calycophorida).
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  • The resulting " classification is based on the examination, mostly autoptic, of a far greater number of characters than any that had preceded it; moreover, they were chosen in a different way, discernment being exercised in sifting and weighing them, so as to determine, so far as possible, the relative value of each, according as that value may vary in different groups, and not to produce a mere mechanical ` key ' after the fashion become of late years so common " (Newton's Dictionary of Birds, Introduction, p. 103).
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  • In zoology, the mollusca are divided into cephalous and acephalous (Acephala), according as they have or have not an organized part of their anatomy as the seat of the brain and special senses.
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  • Of this we may perhaps roughly' distinguish a higher and a lower type, according as there is either complete confidence in the divine benevolence and justice, or a disposition to suppose a certain arbitrariness or at any rate conditionality to attach to the granting of requests.
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  • What added to the practical difficulties of this arrangement was that the post of grand-prince was not an hereditary dignity in the sense of descending from father to son, but was always to be held by the senior member of the dynasty; and in the subordinate principalities the same principle of succession was applied, so that reigning princes had to be frequently shifted about from one district to another, according as they could establish the strongest claim to vacant principalities.
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  • Hence at A the trucks from a, b, c and d must not only be sorted according as they have to travel along A B, A C, or A D, but also must be marshalled into trains in the order of the stations along those lines.
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  • It may be divided into two classes, according as it is intended for passenger or for goods traffic.
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  • Profane cursing and swearing is made punishable by the Profane Oaths Act 1745, which directs the offender to be brought before a justice of the peace, and fined five shillings, two shillings or one shilling, according as he is a gentleman, below the rank of gentleman, or a common labourer, soldier, &c.
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  • Universals must be distinguished according as they have reference to our minds or to the divine mind.
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  • The most novel feature, and one the importance of which most ornithologists of the present day are fully prepared to admit, is the separation of the class A y es into two great divisions, which from one of the most obvious distinctions they present were called by its author Carinatae' and Ratitae, 2 according as the sternum possesses a keel (crista in the phraseology of many anatomists) or not.
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  • He also admitted among his characteristics a physiological consideration (apparently derived from Oken 1) dividing the class A y es into two sections Altrices and Praecoces, according as the young were fed by their parents or, from the first, fed themselves.
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  • Birds were divided into Gymnopaedes and Dasypaedes, according as the young were hatched naked or clothed.
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  • Among the Zulu the spirits of the dead are held to be friendly or hostile, just as they were in life; on the Congo a man after death joins the good or bad spirits according as his life has been good or bad.
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  • Then, according as the spinner wants immediate delivery or delivery in some future month, he pays the price of current " futures," or of " futures " of the month in which he requires delivery, plus or minus the " points on or off " previously fixed.
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  • In the article Thermodynamics it is shown that the amount of heat required to raise a given weight of a gas through a certain range of temperature is different according as the gas is maintained at constant pressure, the volume in creasing, or at constant volume, the pressure increasing.
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  • Thus oxygen varies according as whether it is linked to hydrogen (hydroxylic oxygen), to two atoms of carbon (ether oxygen), or to one carbon atom (carbonyl oxygen); similarly, carbon varies according as whether it is singly, doubly, or trebly bound to carbon atoms.
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  • The first step was to decree the penalty of six years' imprisonment against any person who should sell specie for a more considerable quantity of assignats, or who should stipulate a different price for commodities according as the payment was to be made in specie or in assignats.
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  • In de Lambilly's process air and steam is led over white-hot coke, and carbon dioxide or monoxide removed from the escaping gases according as ammonium formate or carbonate is wanted.
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  • Constant cells may be divided into two groups, according as their action is chemical (as in the bichromate cell, where the hydrogen is converted into water by an oxidizing agent placed in a porous pot round the carbon plate) or electrochemical (as in Daniell's cell, where a copper plate is surrounded by a solution of copper sulphate, and the hydrogen, instead of being liberated, replaces copper, which is deposited on the plate from the solution).
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  • The ions carry their charges with them, and, as a matter of fact, it is found that water in contact with a solution takes with respect to it a positive or negative potential, according as the positive or negative ion travels the faster.
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  • As we have seen above, when a solution is placed in contact with water the water will take a positive or negative potential with regard to the solution, according as the cation or anion has the greater specific velocity, and therefore the greater initial rate of diffusion.
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  • Even pure gold, it may be noted, is darker or lighter in colour according as a stronger or a weaker current is used.
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  • Bezout's method gives the resultant in the form of a determinant of order m or n, according as m is n.
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  • Such a symbolic product, if its does not vanish identically, denotes an invariant or a covariant, according as factors az, bz, cz,...
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  • T Aw 6(23)B A Series Of 2(W 2) Or Of 2(W I) Forms According As W Is Even Or Uneven.
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  • So that a man may say his religion is now no more within himself, but is become a dividual moveable, which goes or comes near him, according as that good man frequents the house."
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  • Other conditions remaining unchanged, the force between two poles is proportional to the product of their strengths; it is repulsive or attractive according as the signs of the poles are like or unlike.
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  • If m, and m 2 are the strengths of two poles, d the distance between them expressed in centimetres, and f the force in dynes, f=ml m2/d2 (I) The force is one of attraction or repulsion, according as the sign of the product m l m 2 is negative or positive.
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  • - In a non-uniform field every volume-element of the body tends to move towards regions of greater or less force according as the substance is paramagnetic or diamagnetic, and the behaviour of the whole mass will be determined chiefly by the tendency of its constituent elements.
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  • Since i +47-K' can never be negative, the apparent susceptibility will be positive or negative according as is greater or less than Thus, for example, a tube containing a weak solution of an iron salt will appear to be diamagnetic if it is immersed in a stronger solution of iron, though in air it is paramagnetic.4 Circular Magnetization.
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  • The wire is subject to two superposed magnetizations, the one longitudinal, the other circular, due to the current traversing the wire; the resultant magnetization is consequently in the direction of a screw or spiral round the wire, which will be right-handed or left-handed according as the relation between the two magnetizations is right-handed or left-handed; the magnetic expansion or contraction of the metal along the spiral lines of magnetization produces the Wiedemann twist.
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  • This is Realism, which may be of two varieties, according as the substantially existent universals are supposed to exist apart from the sensible phenomena or only in and with the objects of sense as their essence.
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  • We see first that any operation with 4a-3b can be regarded as an operation with (+)4a+(-)3b, subject to the conditions (I) that the signs (+) and (-) obey the laws (+)=(+),(+)(-)=(-)(+)= (-), (-) (-)=(+), and (2) that, when processes of multiplication are completed, a quantity is to be added or subtracted according as it has the sign (+) or (-) prefixed.
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  • If a telescope be employed there is a distinction to be observed, according as the half-covered aperture is between the eye and the ocular, or in front of the object-glass.
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  • (22) But if the outside cylinder is moved with velocity U1, and the inside cylinder is solid or filled with liquid of density v, 2 U i 2pb2 and the inside cylinder starts forward or backward with respect to the outside cylinder, according as p> or < v.
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  • An experiment was devised by Lord Kelvin for demonstrating this, in which the difference of steadiness was shown of a copper shell filled with liquid and spun gyroscopically, according as the shell was slightly oblate or prolate.
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  • The third text consists of 99 chapters, and is divided into two groups, according as the MSS.
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  • Employing the notation in which the molecule is represented vertically with the aldehyde group at the bottom, and calling a carbon atom+or - according as the hydrogen atom is to the left or right, the possible configurations are shown in the diagram.
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  • For simplicity we confine ourselves to mixtures of two components, in which experience shows that three cases are to be recognized according as the components are (I) completely immiscible, (2) partially miscible, (3) miscible in all proportions.
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  • Roman history was no longer a record of national glory, stimulating the patriotism and flattering the pride of all Roman citizens, but a personal eulogy or a personal invective, according as servility to a present or hatred of a recent ruler was the motive which animated it.
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  • (3) This relation may be interpreted in two ways, according as we require the heat absorbed in terms of the change of pressure or volume.
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  • According to Christy, the precipitation with zinc follows equations for 2 according as potassium cyanide is present or not: (1) 4 KAu(CN)2+4Zn+2H20=2Zn(CN)2+ K 2 Zn(CN) 4 +Zn(OK) 2 +4H+4Au; (2) 2KAu (CN) 2 +3Zn+4KCN+2H 2 0 = 2K 2 Zn(CN) 4 +Zn(OK) 2 +4H+2Au; one part of zinc precipitating 3.1 parts of gold in the first case, and 2.06 in the second.
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  • The spectators applaud or hiss according as they make their bow well or ill.
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  • As the Syrian year began in autumn, the year of Christ corresponding to any year in the mundane era of Antioch is found by subtracting 5492 or 5493 according as the event falls between January and September or from September to January.
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  • The Roman or Pontifical Indiction began on the 25th of December or 1st of January, according as the Christian year was held to begin on the one or other of these days.
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  • One inconvenient result of this arrangement is that the same author is scattered over many chapters, according as his works fall within this category or that period of time.
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  • Practical Determination Of Densities The methods for determining densities may be divided into two groups according as hydrostatic principles are employed or not.
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  • There are two classes of cases, according as m is even or odd; it will be convenient to consider them first for those cases in which the data are the bounding ordinates of the strips.
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  • This means that, if the minor trapezette consists of k strips, v will be of degree k or k - I in x, according as the data are the bounding ordinates or the mid-ordinates.
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  • These semi-separatists still set great store by the church-covenant, in which they bound themselves " to walk together in all God's ways and ordinances, according as He had already revealed, or should further make them known to them."
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  • But the rulers named can be assigned to three periods, according as they bear the title " mukrab of Saba," " king of Saba," or " king of Saba and Raidan."
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  • Hence sound rays, in passing from one medium into another, are bent in towards the normal, or the reverse, according as the velocity of propagation in the former exceeds or falls short of that in the latter.
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  • The vibrograph is also well suited for the same purpose, and so in an especial manner is Helmholtz's double siren, in which, by continually turning round the upper box, a note is produced by it more or less out of tune with the note formed by the lower chest, according as the handle is moved more or less rapidly, and most audible beats ensue.
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  • Its meaning varies (a) according to the various definitions of deity, and especially (b) according as it is (i.) deliberately adopted by a thinker as a description of his own theological standpoint, or (ii.) applied by one set of thinkers to their opponents.
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  • He divided them into eighteen classes, distinguishing plants according as they were woody or herbaceous, and taking into account the nature of the flowers and fruit.
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  • When Clerk Maxwell pointed out the way to the common origin of optical and electrical phenomena, these equations naturally came to repose on an electric basis, the connexion having been first definitely exhibited by FitzGerald in 1878; and according as the independent variable was one or other of the vectors which represent electric force, magnetic force or electric polarity, they took the form appropriate to one or other of the elastic theories above mentioned.
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  • Slate rocks are quarried both above ground and below ground, according as they lie near to or distant from the surface.
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  • The flower is termed proterandrous or proterogynous according as anthers or stigmas mature first.
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  • On the other hand, if 1 were disproved, 4 would immediately fall through, and the strength of 5 would be weakened (as it would also by the disproof of 2), because the argument for the date of many Psalms is derived from religious ideas and the significance of these varies greatly according as the Priestly Code is held to be early or late.
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  • It has been approached from two sides, according as critics have considered the Western or the Neutral and Alexandrian texts.
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  • 29, according as the full moon falling about the, 8th of March is or is not reckoned the proper, Paschal moon.
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  • As to the different employments of capital, the quantity of productive labour put in motion by an equal amount varies extremely according as that amount is employed - (i) in the improvement of lands, mines or fisheries, (2) in manufactures, (3) in wholesale or (4) retail trade.
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  • As special attention has not been drawn to the fact that some copies have the " Admonitio " and some have not, different writers have assumed that Briggs did or did not know of the promise contained in the " Admonitio " according as it was present or absent in the copies they had themselves referred to, and this has given rise to some confusion.
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  • The sense-organs are always situated at the margin of the unbrella and may be distinguished from the morphological point of view into two categories, according as they are, or are not, derived from modifications of tentacles; in the former case they are termed tentaculocysts.
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  • The novice is classified according as his destination is the priesthood or lay brotherhood, while a third class of "indifferents" receives such as are reserved for further inquiry before a decision of this kind a strict retreat, practically in solitary confinement, during which he receives from a director, yet relying on Thine infinite kindness and mercy and impelled by the desire of serving Thee, before the Most Holy Virgin Mary and all Thy heavenly host, I, N., vow to Thy divine Majesty Poverty, Chastity and Perpetual Obedience to the Society of Jesus, and promise that I will enter the same Society to live in it perpetually, understanding all things according to the Constitutions of the Society.
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  • In this case a highresistance wire is connected between the points of which the potential difference is required, and from some known fraction of this resistance wires are brought to an electrostatic voltmeter, or to a movable coil electromagnetic voltmeter, according as the voltage to be measured is alternating or continuous.
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  • Not Even Appear That The Length Of The Intercalary Month Was Regulated By Any Certain Principle, For A Discretionary Power Was Left With The Pontiffs, To Whom The Care Of The Calendar Was Committed, To Intercalate More Or Fewer Days According As The Year Was Found To Differ More Or Less From The Celestial Motions.
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  • The Year Is Luni Solar, And, According As It Is Ordinary Or Embolismic, Consists Of Twelve Or Thirteen Lunar Months, Each Of Which Has 29 Or 30 Days.
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  • The second form contains two or three constants according as N is taken to have the same value for all elements or not.
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  • The band fades towards the red or violet according as A is positive or negative, and the appearance is sometimes complicated by the fact that several sets of lines start from identical or closely adjoining heads.
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  • Leaving the consideration of radical changes of a vibrating system out of account for the present, the minor differences which have been observed in the appearances of spectra under different sparking conditions are probably to a large extent due to differences in the quantities of material examined, though temperature must alter the violence of the impact and there is a possible effect due to a difference in the impact according as the vibrating system collides with an electron or with a body of atomic dimensions.
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  • We may quote one of the principal conclusions at which they arrived: " An inspection of our maps will show that the radical of a body is represented by certain well-marked bands, some differing in position according as it is bonded with hydrogen, or a halogen, or with carbon, oxygen or nitrogen.
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  • This may be either the Atlantic or the Gulf of Bothnia, according as the migration has commenced from the west or the east side of the central elevated plateau.
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  • They soon split up into different groups, according as they came to stand nearer to or farther from the original position of Arius.
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  • It will be noticed that in all these theoretical curves the points of initial fusion and solidification do not in general coincide; we reach a different curve first according as we approach the diagram from below, where all is solid, or from above, where all is liquid.
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  • Such philosophies are called rationalist or sensationalist according as they lay emphasis specially on the function of reason or that of the senses.
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  • Thus " orders," irrespective of the title or other specific designation they confer, fall in Great Britain generally into three main categories, according as the recipients are made " knights grand cross," " knights commander," or " companions."
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  • Orders may, again, be grouped according as they are (r) Prime Orders Of Christendom, conferred upon an exclusive class only.
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  • Naturalists will of course prefer other limits according as they are geologists, botanists or zoologists.
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  • Manly soils are those which contain a considerable percentage (10-20) of lime, and are called clay marls, loamy marls and sandy marls, according as these several ingredients preponderate.
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  • An adept will know by the ring of the pot on striking it with his knuckles whether water is wanted or not, according as it rings loud and clear or dull and heavy.
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  • 4 diketones, &c., according as they contain the groupings -CO CO-, -CO.
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  • This is apparently owing to the facts that too much has been attempted in the definition, and that differences arise according as we aim at a morphological or a physiological definition.
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  • History shows that states forming unions of the second class are certain in after time to deny or assert that the sovereignty of the state is one of the rights reserved, according as the state belongs to a stronger or weaker section or faction; state sovereignty being the defence of the weaker state or faction, and being denied by the stronger group of states which controls the government and which asserts that a new sovereign state was created by a union of the former independent ones.
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  • The direction in which the compass needle deviated was west or east, according as the curtain approached from the south or the north; as the curtain retired the deviation eventually diminished.
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  • They are ready for Christ's sake to give up their own lives; for His commandments they securely keep, living holily and righteously, according as the Lord their God hath commanded them, giving thanks to Him at all hours, over all their food and drink, and the rest of their good things."
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  • The Liberal Eiderdansk party was for dividing Schleswig into three distinct administrative belts, according as the various nationalities predomin ated (language rescripts of '85),but German sentiment was opposed to any such settlement and, still worse, the great continental powers looked askance on the new Danish constitution as far too democratic. The substance of the notes embodying the exchange of views, in 1851 and 1852, between the German great powers and Denmark, was promulgated, on the 28th of January 1852, in the new constitutional decree which, together with the documents on which it was founded, was known as the Conventions of 1851 and 1852.
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  • Our knowledge of it to-day is entirely derived from a comparison of the two later evangelists who embodied large portions of it, working it in and out of the general scheiie which they derived from St Mark, according as each of them thought most appropriate.
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  • But in all the great modern manufacturing processes it is true that metals and alloys, though of the same name, have a different composition according as they are intended for casting on the one hand, or for forging, rolling and drawing on the other.
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  • Days are distinguished as solar, sidereal or lunar, according as the revolution is taken relatively to the sun, the stars or the moon.
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  • Moreover, causal induction is itself both synthetic and analytic: according as experiment combines elements into a compound, or resolves a compound into elements, it is the origin of a synthetic or an analytic generalization.
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  • There was scope for diversity of view and there was diversity of view, according as the vital issue of the formula was held to lie in the relation of intellectual function to organic function or in the not quite equivalent relation of thinking to being.
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  • Resentment, however, incited him to personal revenge on the Californian government, and an ambition that clearly saw the gravity of the crisis prompted him to improve it unscrupulously for his own advancement, leaving his The government to support or disavow him according as P1 war should come or not.
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  • The scientific method, then, is to consider each " miracle " on its own merits, according as we find reason to suppose that it has reached our author more or less directly.
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  • The moment of a force about a point 0 is the product of the force into the perpendicular drawn to its line of action from o 0, this perpendicular being reckoned J~ positive or negative according as 0 lies on one side or other of the line of action.
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  • Further, it is known from the theory of roulettes that the locus of G will be concave or convex upwards according as cos 4, 1 i ~p~p (8)
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  • This represents a forced oscillation whose period 27r/o1, coincides with that of the disturbing force; and the phase agrees with that of the force, or is opposed to it, according as c1i2u; i.e.
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  • Hence the phase of the vibration lags behind that of the force by the amount s~, which lies between 0 and 1/2nr or between 1/2ir and Ir, according as e12 ~u.
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  • Now in a conic whose focus is at 0 we have where 1 is half the latus-rectum, a is half the major axis, and the upper or lower sign is to be taken according as the conic is an ellipse or hyperbola.
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  • The orbits may be divided into two classes according as h2>
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  • The pole 0 of the hodograph is inside on or outside the circle, according as the orbit is an ellipse, parabola or hyperbola.
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  • The practical application of mechanics may be divided into two classes, according as the assemblages of material In view of the great authority of the author, the late Professor Macquorn Rankine, it has been thought desirable to retain the greater part of this article as it appeared in the 9th edition of the Encyclopaedia.
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  • Work is distinguished into useful work and prejudicial or lost work, according as it is performed in producing the useful effect of the machine, or in overcoming prejudicial resistance.
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  • A couple is said to be right or left handed with reference to the observer, according to the direction in which it tends to turn the body, and is a driving couple or a resisting couple according as its tendency is with or against that of the actual rotation.
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  • Natural philosophy is again divided into speculative or theoretical and operative or practical, according as the end is contemplation or works.
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  • For that is always and necessarily present when the nature is present, absent when it is absent, decreases and increases according as the nature decreases and increases.
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  • It will heal or blast, according as it is handled with or without due circumspection.
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  • That which is taboo, for instance, the person of the king, or woman's blood, is poison or medicine according as it is manipulated, being inherently just n potentiality for wonder-working in any direction.
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  • The difference now under consideration is expressed by the terms "strict" and "open," according as communion (or membership) is or is not confined to persons who, according to their view, are baptized.
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  • If we suppose alb to be converted into a continued fraction and p/q to be the penultimate convergent, we have aq-bp= +1 or -1, according as the number of convergents is even or odd, which we can take them to be as we please.
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  • He found that a magnetic needle, made to oscillate over nonferruginous surfaces, such as water, glass, copper, &c., falls more rapidly in the extent of its oscillations according as it is more or less approached to the surface.
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  • In the same way we may show that if the distance between the disks is increased, the pressure will be diminished or increased according as the distance is less or more than half the circumference of either.
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  • - Sizes, Forms, Structure, &c. - The Schizomycetes consist of single cells, or of filamentous or other groups of cells, according as the divisions are completed at once or not.
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  • In fact, organic molecules can be divided into two classes according as they give rise to anti-substances or fail to do so.
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  • As the supply of sodium was increased, the lines, besides becoming broader, did so unsymmetrically, and a shaded wing or band appeared on one side or the other according as the beam impinged on one side or the other of the flame.
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  • The equation of light is the time taken by light to traverse the sun's mean distance from the earth; it can be found by the acceleration or retardation of the eclipses of Jupiter's satellites according as Jupiter is approaching opposition or conjunction with the sun; a recent analysis shows that its value is 498.6", which leads to the same value of the parallax as above, but the internal discrepancies of the material put its authority upon a much lower level.
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  • Corals have been divided into A porosa and Perforata, according as the theca and septa are compact and solid, or are perforated by pores containing canals lined by endoderm.
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  • The shafts revolve in the same or opposite directions, according as the belt is open or crossed.
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  • Number is concrete or abstract according as it does or does not relate to particular objects.
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  • Here we are concerned with the principle, the explanation of which is different according as we proceed on the grouping or the counting system.
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  • (ii) Beyond ten, and in many cases beyond five, the names have reference to the use of the fingers, and sometimes of the toes, for counting; and the scale may be quinary, denary or vigesimal, according as one hand, the pair of hands, or the hands and feet, are taken as the new unit.
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  • One number is less or greater than another, according as the symbol (or ordinal) of the former comes earlier or later than that of the latter in the number-series.
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  • 0 I 2 0 I 2 0 I 2 0 I 2 The practical difficulty, of course, is that the addition of two numbers produces different results according to the scale in which we are for the moment proceeding; thus the sum of 9 and 8 is 17, 15, 13 or 11 according as we are dealing with shillings, pence, pounds (avoirdupois) or ounces.
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  • It therefore arises in one or other of two ways, according as the unit or the number exists first in consciousness.
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  • Thus we get successive multiplication; but it represents quite different operations according as it is due to repetition, in the sense of § 34, or to subdivision, and these operations will be exhibited by different diagrams. Of the two diagrams below, A exhibits the successive multiplication of £3 by 20, 12 and 4, and B the successive reduction of £3 to shillings, pence and farthings.
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  • A fractional number is called a proper fraction or an improper fraction according as the numerator is or is not 3 less than the denominator; and an expression 4 such as 24 is called a mixed number.
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  • It should be observed that the numerical value of the error is to be subtracted from or added to the stated value according as the error is positive or negative.
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  • The intermediate values obtained by the successive additions are different according as we work from the left or from the right, being £9, 5s.
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  • By means of Pliicker's equations we may form a table - The table is arranged according to the value of in; and we have m=o, n= r, the point; m =1, n =o, the line; m=2, n=2, the conic; of m = 3, the cubic, there are three cases, the class being 6, 4 or 3, according as the curve is without singularities, or as it has 1 node or r cusp; and so of m =4, the quartic, there are ten cases, where observe that in two of them the class is = 6, - the reduction of class arising from two cusps or else from three nodes.
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  • The ten cases may be also grouped together into four, according as the number of nodes and cusps (5+ic) is = o, r, 2 or 3.
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  • But here we distinguish between fluids according as they are gases or liquids.
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  • He did not condemn fasting altogether, but thought that it ought to be resorted to in the spirit of gospel freedom according as each occasion should arise.
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  • Thus we may speak appropriately of the acoustic quality of a room or hall, describing it as good or bad acoustically, according as speaking is heard in it easily or with difficulty.
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  • We observe that men are classified according to their functions; all kinds of man, and indeed all organs of man, have their special functions, and are judged as functionaries and organs according as they perform their functions well or ill.
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  • Again, the argument that " conduct is good or bad according as its total effects are pleasurable or painful," and that ultimately " pleasure-giving acts are life-sustaining acts," seems to involve Spencer in a multitude of unverified assumptions and contradictory theories.
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  • Sagas exist showing all these phases, some primitive and rough, some refined and beautified, some diluted and weakened, according as their copyists have been faithful, artistic or foolish; for the first generation of MSS.
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  • It further appears that a determinant is a linear function' of the elements of each column thereof, and also a linear function of the elements of each line thereof; moreover, that the determinant retains the same value, only its sign being altered, when any two columns are interchanged, or when any two lines are interchanged; more generally, when the columns are permuted in any manner, or when the lines are permuted in any manner, the determinant retains its original value, with the sign + or - according as the new arrangement (considered as derived from the primitive arrangement) is positive or negative according to the foregoing rule of signs.
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  • Gabriel Cramer, in a note to his Analyse des lignes courbes algebriques (1750), gave the rule which establishes the sign of a product as plus or minus according as the number of displacements from the typical form has been even or odd.
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  • The former fall into the two classes of feelings (subjective) and perceptions (objective); the latter, according as the receptive or the spontaneous element predominates, into cognition and volition.
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  • The main rivers, however, have generally a mountain source, and according as they are fed from bogs or springs may be differentiated as black and bright streams. In this connexion the frequent use of the name Blackwater is noticeable.
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  • The oscillation of the centre of power between Meath and Tir Eogain, according as the ardri belonged to the southern or northern Hy Neill, produced corresponding perturbations in the balance of parties among the minor kings.
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  • In certain cases, indeed, one portion vanishes entirely: thus the stream ordinarily refracted in the first rhomb gives an ordinary or an extraordinary stream alone in the second, according as the principal planes are parallel or perpendicular, the reverse being the case with the extraordinary stream of the first rhomb.
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  • Such a plate acts in the same way on polarized light, stopping it or allowing it to pass, according as the plane of polarization is parallel or perpendicular to the principal section.
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  • This latter process is termed analysation, and an instrument is called a polarizer or an analyser according as it is used for the first or the second of these purposes.
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  • They may be differentiated by first passing the light through a quarter-wave plate with its axis parallel or perpendicular to the plane of maximum polarization: for elliptically polarized light thereby becomes plane polarized and one of the streams is extinguished on rotating the rhomb; but with the other two kinds of light this is not the case, and the light is partially plane or partially elliptically polarized according as the plane of maximum polarization remains the same or is changed.
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  • The phenomenon of colour may, however, be obtained with thick plates by superposing two of them in a suitable manner, the combination acting as a thicker or a thinner plate according as the planes of polarization of the quicker waves within them are parallel or crossed.
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  • Then with an uniaxal plate perpendicular to the optic axis, the black cross is replaced by two lines, on crossing which the rings are discontinuous, expansion or contraction occurring in the quadrants that contain the axis of the quarter-wave plate, according as the crystal is positive or negative.
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  • With a biaxal plate perpendicular to the optic axis in the diagonal position, the hyperbolic brush becomes an hyperbolic line and the rings are expanded or contracted on its concave side, with a positive plate, according as the plane of the optic axes is parallel or perpendicular to the axis of the quarter-wave plate, the reverse being the case with a negative plate.
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  • Fresnel showed that rotary polarization could be explained kinematically by supposing that a plane-polarized stream is resolved on entering an active medium into two oppositely circularly polarized streams propagated with different speeds, the rotation being rightor left-handed according as the rightor left-handed stream travels at the greater rate: The polarization-vector of the primitive - stream being = a cos nt, the first circularly polarized stream after traversing a distance z in the medium may be represented by = a cos (nt - k i z), ni = a sin (nt - kiz), and the second b z = a cos (nt - k 2 z), n2= - a sin (nt - k2z).
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  • Similarly on the electromagnetic theory the electric or the magnetic force will be perpendicular to the plane of polarization, according as chemical action depends upon the electric or the magnetic energy.
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  • Pappus in his commentary on Apollonius states that these names were given in virtue of the above relations; but according to Eutocius the curves were named the parabola, ellipse or hyperbola, according as the angle of the cone was equal to, less than, or greater than a right angle.
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  • The definition is better according as the chromatic and spherical aberrations are removed; there always remains in even the best constructions some slight aberration.
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  • A corolla is dipetalous, tripetalous, tetrapetalous or pentapetalous according as it has two, three, four or five separate petals.
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  • The oils are usually contained in special cells, glands, cavities, or canals within the plants either as such or intermixed with resinous substances; in the latter case the mixtures form oleo-resins, balsams or resins according as the product is viscid, or solid and hard.
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  • Furnaces may be classified according as the products of combustion are employed (i) only for heating purposes, or (2) both for heating and bringing about some chemical change.
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  • Another classification may be based upon the nature of the heating agent, according as it is coal (or some similar combustible) oil, gas or electricity.
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  • Gockel states (l.c. p. 74) that during snowfall the sign is positive or ne g ative according as the flakes are large or are small and powdery.
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  • Thus the retributive theory of punishment with its criterion of justice as an end in itself gives place to a theory which regards punishment solely as a means to an end, utilitarian or moral, according as the common advantage or the good of the criminal is sought.
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  • In the Potsdam form of this apparatus the micrometer is, for convenience, provided with a motion at right angles to the axis of the screw, and it has been found at the Cape Observatory that the periodic errors in this apparatus do vary very sensibly according as the microscope is directed to a point more or less distant from the measuring screw.
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  • The armature is placed between the poles of the electromagnet, and being magnetized by the magnet m it will oscillate to the right or left under the action of the poles of the electromagnet M according as the current passes through M in one direction or the other.
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  • The effect was to print a dash or dot on a strip of telegraphic paper, according as the incident electric wave train lasted a longer or shorter time.
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  • Associated with the conducting parenchyma are frequently found hydroids identical in character with those of the central strand of the stem, and no doubt serving to conduct water to or from the leaf according as the latter is acting as a transpiring or a waterabsorbing organ.
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  • Confining ourselves for the moment to forms of explicit address, we may group these under three categories according as the power addressed is conceived by the applicant to be on a higher, or on much the same, or on a lower plane of dignity and authority as compared with himself.
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  • After the Civil War there have been several important changes in the crops raised: the development of cotton manufacturing in the South and the utilization of cotton-seed oil and meal gave impetus to cotton culture; and the discovery of the adaptability of much of the cotton land to the culture of tobacco of a superior quality resulted first in the development of a vast tobacco industry and then to a fluctuation in acreage of the crops of tobacco and of cotton, according as the price of either rose or fell.
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  • In the second part he had his own knowledge of events and the information of his contemporaries as his source: in the first he used the same authorities which we still possess - the Gesta, Fulcher, and Albert of Aix - in somewhat of an eclectic spirit, choosing now here, now there, according as he could best weave a pleasant narrative, but not according to any real critical principle.
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  • He recognized that if an elementary atom had parts, his theory demanded that these parts should carry different electric charges when they entered into reaction, and the products of the reaction should vary according as a positive or negative atom entered into combination.
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  • Thus, the sense will to a native be completely changed according as the sound is the result of an aspiration or of a simple utterance of the voice.
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  • Thus while the emperor, as king of Prussia, is summus episcopus of the Prussian Evangelical Church, as emperor he enjoys no such ecclesiastical headship. In the several states the relations of church and state differ fundamentally according as these states are Protestant or Catholic. In the latter these relations are regulated either by concordats between the governments and the Holy See, or by bulls of circumscription issued by the pope after negotiation.
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  • Resistances are distinguished into useful and prejudicial, according as they arise from the useful effect produced by the machine or from other causes.
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  • He will approve or disapprove of himself according as his conduct has fulfilled the conditions of social welfare.
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  • About 3 metres in front of them was arranged a pair of smaller horizontal j aeroplanes, shaped like a long narrow ellipse, which formed the rudder that effected changes of elevation, the driver being able by means of a lever to incline them up or down according as he desired to ascend or descend.
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  • The catkin-like flowers are dull red, and with a scent of Cowslips, coming in May either as short spikes or rounded fleshy balls, according as they are male or female, while the fruits consist of small fleshy nutlets.
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