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spheres

spheres Sentence Examples

  • Consider the case of two concentric spheres, a solid one enclosed in a hollow one.

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  • Yet, allpowerful in their individual spheres of action, they can influence the fortunes of men and can enter into relations with them.

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  • capacity of two concentric spheres, of two coaxial cylinders and of two parallel planes.

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  • A very small sphere is said then to possess a charge of one electrostatic unit of quantity, when it repels another similar and similarly electrified body with a force of one dyne, the centres being at a distance of one centimetre, provided that the spheres are in vacuo or immersed in some insulator, the dielectric constant of which is' taken as unity.

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  • Only in the highest spheres did all these schemes, crossings, and interminglings appear to be a true reflection of what had to happen.

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  • The hydrosphere is one of the four spheres of the earth.

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  • It is, in fact, "a procedure whereby communication is established between the sacred and profane spheres by a victim, that is to say by an object destroyed in the course of the ceremony."

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  • The shapes of these ferruginous sandstones are very fantastic - tubes, hollow spheres, plates, &c., being common.

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  • No material advance was made on Ptolemy's instrument until Tycho Brahe, whose elaborate armillary spheres passing into astrolabes are figured in his Astronjmiae Instauratae Mechanica.

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  • The dioceses were now mapped out into several archdeaconries (archidiaconatus), which corresponded with the political divisions of the countries; and these defined spheres, in accordance with the prevailing feudal tendencies of the age, gradually came to be regarded as independent centres of jurisdiction.'

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  • During 1884, 1885, 1886 treaties guaranteeing British protection were concluded with various Somali tribes and in 1888 the limits of the British and French spheres were defined, all claims to British jurisdiction in the Gulf of Tajura and the islands of Musha and Bab being abandoned.

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  • The shapes of these ferruginous sandstones are very fantastic - tubes, hollow spheres, plates, &c., being common.

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  • If the two small conducting spheres are placed with centres at a distance d centimetres, and immersed in an insulator of dielectric constant K, and carry charges of Q and Q' electrostatic units respectively, measured as above described, then the mechanical force between them is equal to QQ'/Kd 2 dynes.

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  • Related to the tetrahedron are two spheres which have received much attention.

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  • Kant, like Leibnitz, seeks to reconcile the mechanical and teleological views of nature, only he assigns to these different spheres.

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  • It is the same thought which collected in the cosmic space the divided masses into spheres, and combined these to solar systems; the same which caused the weather-beaten dust on the surface of our metallic planet to spring forth into living forms."

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  • Justinian has a clearer perception of the demarcation between the spheres of spiritual and temporal law.

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  • The summingup of divine powers manifested in the universe in a threefold division represents an outcome of speculation in the schools attached to the temples of Babylonia, but the selection of Anu, Bel and Ea for the three representatives of the three spheres recognized, is due to the importance which, for one reason or the other, the centres in which Anu, Bel and Ea were worshipped had acquired in the popular mind.

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  • In the first of these spheres the victory of Marengo (14th of June 1800) was of special importance, as it consolidated the reputation of Bonaparte at a time when republican opposition was gathering strength.

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  • Strong generals were needed in the separate divisions of the empire, and these, as has always been the case in Eastern empires, made themselves independent in their spheres of command, because there was no organization to keep them together under a single control.

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  • In other spheres the immunities and exemptions of the Church offered a far more serious problem, and especially in the sphere of finance.

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  • In remembrance of these victims of popular wrath Jalal-uddin founded the order of the Maulawi (in Turkish Mevlevi) dervishes, famous for their piety as well as for their peculiar garb of mourning, their music and their mystic dance (sama), which is the outward representation of the circling movement of the spheres, and the inward symbol of the circling movement of the soul caused by the vibrations of a Sufi's fervent love to God.

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  • Money was also struck in their own name by the cities in the several dynasties' spheres of power, but in most cases only bronze or small silver for local use.

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  • He governs the visible world, preserves the harmony and guides the revolutions of all the spheres, and is the captain of all the myriads of angelic beings.

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  • The good he did was limited to the spheres of public works and police; in other respects his rule was a pernicious influence for Cuba.

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  • These globular bodies are, in fact, merely the more coherent portions of a perlite; the rest of the rock falls down in a fine powder setting free the glassy spheres.

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  • In their natural condition the marekanite spheres are doubly refracting, but when they have been heated and very slowly cooled they lose this property and no longer exhibit any tendency to sudden disintegration.

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  • The battle of Thapsus in 46 made the Romans definitely masters of Numidia, and the spheres of administration were clearly marked out.

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  • The potential due to a single pole of strength m at the distance r from the pole is V = m/ r, (7) the equipotential surfaces being spheres of which the pole is the centre and the lines of force radii.

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  • For small bodies other than spheres the coefficient will be different, but its sign will always be negative for diamagnetic substances and positive for others; hence the forces acting on any small body will be in the same directions as in the case of a sphere' Directing Couple acting on an Elongated Body.

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  • When the fluids inside a particle were mixed together, the particle was neutral; when they were more or less completely separated, the particle became magnetized to an intensity depending upon the magnetic force applied; the whole body therefore consisted of a number of little spheres having north and south poles, each of which exerted an elementary action at a distance.

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  • Cobden had married in 1840 Miss Catherine Anne Williams, a Welsh lady, and left five surviving daughters, of whom Mrs Cobden-Unwin (wife of the publisher Mr Fisher Unwin), Mrs Walter Sickert (wife of the painter) and Mrs Cobden-Sanderson (wife of the well-known artist in bookbinding), afterwards became prominent in various spheres, and inherited their father's political interest.

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  • The Governments of Belgrade and Zagreb were to retain their former spheres until a constituent assembly, elected by universal suffrage, could draw up a new constitution.

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  • We imagine a wave-front divided o x Q into elementary rings or zones - often named after Huygens, but better after Fresnelby spheres described round P (the point at which the aggregate effect is to be estimated), the first sphere, touching the plane at 0, with a radius equal to PO, and the succeeding spheres with radii increasing at each step by IX.

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  • To these may be added a very short disquisition on the same subject addressed to Adalbold, and a similar one, on one of his own spheres, addressed to Constantine, abbot of Micy.

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  • Seldom has it happened, since the discovery of the law of gravity, that so profound an impression has been made upon the scientific world at large as by the revelation of the part played by germ-life in nature; seldom has any discovery been fraught with such momentous issues in so many spheres of science and industry.

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  • In foreign affairs, the conclusion of a treaty with Russia for delimiting the British and Russian spheres of influence in the Middle East laid the foundations of entirely new relations between the British and Russian governments.

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  • Between two concentric spheres, with a 2 +A = r 2, a2+A1=a12, A=B =C =a3/3r3, a 3 a 3 a3 _ a3 Cb _1U x r 3 a13 Y'=2 Uy2 r3 3 a13 .

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  • The method of electrical images will enable the stream function, )' to be inferred from a distribution of doublets, finite in number when the surface is composed of two spheres intersecting at an angle 7r/m, where m is an integer (R.

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  • Thus for m =2, the spheres are orthogonal, and it can be verified that a13 a2 3 aY3 i f /' = ZU (I - 13 - 7.2 3 + 3) ' (8) where a l, a2, a =a l a 2 /J (a 1 2 +a 2 2) is the radius of the spheres and their circle of intersection, and r 1, r 2, r the distances of a point from their centres.

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  • Two equal spheres, intersecting at 120°, will require - I U j x _ a 3 a4(a 7 2 x) a3 a4(a+2x)] (II) 2 - _ 2 y a 271 3 271 +2Y2 3 2720 ' with a similar expression for cylinders; so that the plane x=o may be introduced as a boundary, cutting the surface at 60°.

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  • Of other common types of condenser, we may notice the "spiral" or "worm" type, which consists of a glass, copper or tin worm enclosed in a vessel in which water circulates; and the ball condenser, which consists of two concentric spheres, the vapour passing through the inner sphere and water circulating in the space between this and the outer (in another form the vapour circulates in a shell, on the outside and inside of which water circulates).

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  • Coulomb proved that this mechanical force varies inversely as the square of the distance between the centres of the spheres.

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  • After the return of Columbus and his supposed demonstration that the Indies could be reached by sailing west, disputes might obviously arise between the two powers as to their respective "spheres of influence."

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  • The waves from a source surrounded by a uniform medium at rest spread out as spheres with the source as centre.

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  • If we take one of these spheres a distance from the source very great as compared with a single wave-length, and draw a radius to a point on the sphere, then for some little way round that point the sphere may be regarded as a plane perpendicular to the radius or the line of propagation.

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  • The difficulty arises from a confusion between the spheres of phenomena and noumena.

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  • But with the sole exception of proving that the volumes of spheres are in the triplicate ratio of their diameters, a theorem probably due to Eudoxus, no mention is made of its mensuration.

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  • Systems of spheres have characters analogous to those of systems of circles.

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  • If r, r i be the radii of two spheres, d the distance between the centres, and 0 the angle at which they intersect, then d2=r2+ r12 2rr l cos ¢ hence 2rr 1 cos =d2r2 - r22.

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  • This function is named the "power" of the two spheres, and it is important in the investigation of systems of spheres.

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  • Two spheres intersect in a plane, and the equation to a system of spheres which intersect in a common circle is x 2 + y 2 + z 2 +2Ax -fD = o, in which A varies from sphere to sphere, and D is constant for all the spheres, the plane yz being the plane of intersection, and the axis of x the line of centres.

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  • Corresponding to the radical centre of three circles, it may be shown that four spheres have a radical centre, i.e.

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  • that there exists a point such that the tangents from this point to the four spheres are equal, and that with this point as centre, and the length of the tangent as radius, a sphere may be described which cuts, the four spheres at right angles; this "orthotomic" sphere corresponds to the orthogonal circle of a system of circles.

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  • Music Of The Spheres >>

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  • The principle of full equality of electoral rights in all three spheres was not carried out till the republic.

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  • Many branches of the territorial administration had great similarities with those of the State, so that their spheres of activity frequently overlapped and came into collision.

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  • Hippolytus's voluminous writings, which for variety of subject can be compared with those of Origen, embrace the spheres of exegesis, homiletics, apologetics and polemic, chronography and ecclesiastical law.

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  • The boundary between the Spanish and Portuguese spheres was fixed at 17° E.

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  • The settlement of IIII may be said to have embodied the only solution of the great question that was right in principle, since it pronounced in favour of a clear distinction between the spiritual and temporal spheres.

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  • He therefore claimed in both spheres the supreme administrative, legislative and judicial authority.

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  • Seven lay exhorters were also at the meetings; they were questioned as to their spiritual experience and allotted their several spheres; other matters pertaining to the new conditions created by the revival were arranged.

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  • In the study of the classics, as in other spheres, it was revolution rather than evolution that was loudly demanded.

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  • Gnosticism is to a great extent dominated by the idea that it is above all and in the highest degree important for the Gnostic's soul to be enabled to find its way back through the lower worlds and spheres of heaven ruled by the Seven to the kingdom of light of the supreme deity of heaven.

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  • But the form in which the whole is set forth is Oriental, and it must be carefully noted that the Mithras mysteries, so closely connected with the Persian religion, are acquainted with this doctrine of the ascent of the soul through the planetary spheres (Origen, Contra Celsum, vi.

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  • Common to all these is the dominant position assumed by the " Seven " (headed by Ialdabaoth); the heavenly world lying above the spheres of the Seven is occupied by comparatively few figures, among which the most important part is played by the µ rrlp, who is sometimes enthroned as the supreme goddess in heaven, but in a few systems has already descended from there into matter, been taken prisoner, &c. Numerous little groups are distinguished from the mass, sometimes by one peculiarity, sometimes by another.

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  • The aim of those who framed the Constitution was to avoid friction between the state governments and the Federal government by rendering their respective spheres of action as separate and distinct as possible.

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  • The British North America Act assigns to the different provinces, as to the central parliament, their spheres of control, but all residuary powers are given to the general government.

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  • A, The egg-cell has divided into two spheres, of which the lower contains more food-material, whilst the upper is again incompletely divided into two smaller spheres.

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  • B, 0.1e of the two smaller spheres is reunited to the larger sphere.

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  • Many of the young men and women, who were supposed to be qualifying as specialists in the various spheres of industrial and commercial enterprise, were in reality devoting their time to considering how human society in general, and Russian society in particular, could be reconstructed in accordance with the latest physiological, biological and sociological principles.

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  • These self-governing colonies with their spheres of influence, with vast areas still unpeopled, have a future before them which is dissociated from the methods of an over-peopled Europe, and among them the preservation of peace is the direct object and condition of their progressive development.

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  • The two courts would have separate spheres of activity, and litigants would practically have the option of submitting their differences to a judicial court which would regard itself as being bound by the letter of the law and by judicial methods or to a special court created ad hoc with a purely arbitrative character.

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  • This led to the creation and determination of spheres of influence.

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  • By fixing the areas of these spheres of influence rival states in western and central Africa avoided conflicts and preserved their rights until they were able to take a more effective part in their development.

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  • The idea of " spheres of influence " has in turn been applied even to more settled and civilized countries, such as China and Persia.

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  • C is compensated by permanent magnets athwartships and horizontal; D by masses of soft iron on both sides of the compass, and generally in the form of cast-iron spheres, with their centres in the same horizontal plane as the needles; E is usually too small to require correction; A is fortunately rarely of any value, as it cannot be corrected.

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  • involved in the tangle of European diplomacy; he is the monarch of a vast, admirably organized, spiritual world-empire, and when - as must needs happen - the overlapping of the spiritual and temporal spheres brings him into conflict with a secular power, his diplomacy is backed, wherever Catholic sentiment is strong, by a force which the secular power has much difficulty in resisting;.

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  • When Mitanni fell Babylon no doubt adhered to its older claims on Mesopotamia; but the Kassite kings could do little to contest the advance of Assyria, although several rectifications of the boundary between their spheres are reported.

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  • Each particle may react in some way on the solvent in its neighbourhood, but if the solution be so dilute that each of these spheres of influence is unaffected by the rest, no further addition of solvent will change the connexion between one particle of solute and its associated solvent.

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  • When the solution ceases to be dilute in the thermodynamic sense of the word, that is, when the spheres of influence of the solute particles intersect each other, this reasoning ceases to apply, and the resulting modification of the gas laws as applied to solutions becomes a matter for further investigation, theoretical or experimental.

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  • In 1840 the class for distinction for science and art, or peace class (Friedensklasse) was founded by Frederick William IV., for those " who have gained an illustrious name by wide recognition in the spheres of science and art."

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  • Both " mission " and " missionary " have hence come to be used of similar works in other spheres.

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  • is of peculiar interest, because of the intrusion of economic problems into the spheres of national politics and even of religion.

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  • Lorenz and others have employed similar methods, depending on the observation of the rate of change of temperature at certain points of bars, rings, cylinders, cubes or spheres.

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  • The greater number of these associations cover a very wide field, generally the whole empire; in such cases they are empowered to divide their spheres into sections, and to establish agents in different centres to inquire into cases of accident, and to see to the carrying out of the rule~ prescribed by the association for the avoidance of accidents.

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  • In this duel the victory of Austria was soon declared, The Prussian government believed that the effective government of Germany could only be secured by a separate understanding between the two great powers; and the indiscretion of the Prussian plenipotentiary revealed to the diet a plan for what meant practically the division of Germany into Prussian and Austrian spheres of influence.

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  • In the earliest existing monument of the Hellenic genius, the Homeric poems, one may already observe that regulative sense of form and proportion, which shaped the later achievements of the race in the intellectual and artistic spheres.

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  • Even in the spheres of art and literature, the Italians, while so largely guided by Greek canons, had something of their own to contribute.

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  • of the AngloFrench convention of June 14th, 1898, which dealt with the British and French spheres of influence in the region of the Niger, France was excluded from the basin of the Nile, and a line marking the respective spheres of influence of the two countries was drawn on the map from the northern frontier of the Congo Free State to the southern frontier of the Turkisb province of Tripoli.

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  • In the following March the spheres of interest of Great Britain and France in the Nile basin were defined by a declaration making an addition to Article IV.

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  • The areas of intervening cortex, arriving at structural completion later than the above sense-spheres, are called by some association-spheres, to indicate the view that they contain the neural mechanisms of reactions (some have said "ideas") associated with the sense perceptions elaborated in the several sensese spheres.

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  • A people's religion completes and consecrates their whole activity: in it the people rises above its finite life in limited spheres to an infinite life where it feels itself all at one.

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  • Edward Gans (q.v.) and Heinrich Gustav Hotho carried the method into special spheres of inquiry.

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  • The state is the consummation of man as finite; it is the necessary starting-point whence the spirit rises to an absolute existence in the spheres of art, religion and philosophy.

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  • James Gregory, in his Optica Promota (1663), discusses the forms of images and objects produced by lenses and mirrors, and shows that when the surfaces of the lenses or mirrors are portions of spheres the images are curves concave towards the objective, but if the curves of the surfaces are conic sections the spherical aberration is corrected.

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  • Mr Gore, starting from the same basis of faith and authority, soon found from his practical experience in dealing with the "doubts and difficulties" of the younger generation that this uncompromising attitude was untenable, and set himself the task of reconciling the principle of authority in religion with that of scientific authority by attempting to define the boundaries of their respective spheres of influence.

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  • If The Molecules Are Supposed To Be Like Smooth, Hard, Elastic Spheres, Incapable Of Receiving Any Other Kind Of Energy Except That Of Translation, The Specific Heat At Constant Volume Would Be The Increase Per Degree Of The Kinetic Energy Namely 3Pv/20=3R/2, That At Constant Pressure Would Be 5R/2, And The Ratio Of The Specific Heats Would Be 5/3 Or 1.666.

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  • Now that which binds together these elements of our nature and maintains their interrelation in their respective spheres of activity - that which determines an individual's powers, his tastes, his opportunities, advantages and drawbacks, in a word, the character - is his "Karma."

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  • The boundaries of the territories, protectorates and spheres of influence in Africa of Great Britain, Germany, France, Italy, Belgium and Portugal have been readjusted by a series of treaties, especially between the years 1885 and 1894.

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  • But the two work in different spheres, and are complementary.

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  • Imagine two spheres of equal radius with 0 as their common centre, one fixed in the body and moving with it, the other fixed in space.

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  • What it did make impossible for him was to attain that union immediately on the cessation of his present life, as he would first have to pass through higher and purer stages of mundane existence before reaching that goal; but in this respect he only shared the lot of all but a very few of the saintliest in the higher spheres of life, since the ordinary twice-born would be liable to sink, after his present life, to grades yet lower than that of the Sudra.

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  • Hence the clergy were left to do as they pleased, so long as they respected the law of the land; and most of the modern collisions between Church and State have occurred on the debateable ground where their respective spheres overlap, over questions concerning education or the marriage-laws.

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  • Cavendish compared the capacity of different bodies with those of conducting spheres of known diameter and states these capacities in " globular inches," a globular inch being the capacity of a sphere 1 in.

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  • He determined the law of distribution between two conducting bodies in contact; and measured with his proof plane the density of the electricity at different points of two spheres in contact, and enunciated an important law.

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  • He ascertained the distribution of electricity among several spheres (whether equal or unequal) placed in contact in a straight line; and he measured the distribution of 2 In 1878 Clerk Maxwell repeated Cavendish's experiments with improved apparatus and the employment of a Kelvin quadrant electrometer as a means of detecting the absence of charge on the inner conductor after it had been connected to the outer case, and was thus able to show that if the law of electric attraction varies inversely as the nth power of the distance, then the exponent n must have a value of 2 t Isua.

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  • After showing that civilized government was practically non-existent in the regions visited, it suggested as the chief remedy the conclusion of a RussoBritish convention, and the division of Persia into spheres of influence.

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  • Its chief provisions, in regard to Persia, are as follows: (I) north of a line drawn from Kasr-iShirin, Isfahan, Yezd and Kakh to the junction of the Russian, Persian and Afghan frontiers Great Britain undertook to seek no political or commercial concession, and to refrain from opposing the acquisition of any such concession by Russia or Russian subjects; (2) Russia gave to Great Britain a like undertaking in respect of the territory south of a line extending from the Afghan frontier to Gazik, Birjend, Kerman and Bander Abbasi; (3) the territory between the lines above-mentioned was to be regarded as a neutral zone in which either country might obtain concessions; (4) all existing concessions in any part of Persia were to be respected; (5) should Persia fail to meet its liabilities in respect of loans contracted, before the signature of the Convention, with the Persian Banque dEscompte and de Prts, or with the Imperial Bank of Persia, Great Britain and Russia reserved the right to assume control over the Persian revenues payable within their respective spheres of influence.

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  • Four of the latter are poetical accounts of the reigns of the emperors of Delhi, Ala-uddin Khilji (1296-1316), his predecessor Feroz Shah and his successor J~utb-uddin MubArek Shahthe Miftah-ulfutuh, or Key of Victories, the Kirnussadain, or The Conjunction of the Two Lucky Planets, the Nub Sipi/ir, or Nine Spheres, and the love-story of Khjdrkhn if Duwalrnf.

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  • But before it had penetrated far inland the political reasons for sending the expedition vanished with the signature, on the 1st of July 1890, of the Anglo-German agreement defining the spheres of influence of the two nations, an agreement which excluded the Albert Nyanza region from the German sphere.

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  • From the astronomers the Stoics borrowed their picture of the universe - a plenum in the form of a series of layers or concentric rings, first the elements, then the planetary and stellar spheres, massed round the earth as centre - a picture which dominated the imagination of men from the days of Eudoxus down to those of Dante or even Copernicus.

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  • After 1492 the discovery of the West Indies by Columbus rendered desirable a delimitation of the Spanish and Portuguese spheres of exploration.

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  • In 1886 Germany, France and Portugal defined by treaty the limits of their adjacent spheres of influence, and on the 26th of March 1887 Macao, hitherto leased to Portugal, was formally ceded by the Chinese government.

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  • The leaders in the movement were Anthero de Quental and Dr Theophilo Braga, the first a student of German philosophy and poetry, the second a disciple of Comte and author of an epic of humanity, Visao dos tempos, whose immense work in the spheres of poetry, criticism and literary history, marred by contradictions, but abounding in life, cannot be judged at present.

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  • When the conjugate axis of the hyperbola is made smaller and smaller, the nodoid approximates more and more to the series of spheres touching each other along the axis.

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  • Such a film, if ever so little disturbed, will begin to contract at one secton and to expand at another, till its form ceases to resemble a cylinder, if it does not break up into two parts which become ultimately portions of spheres.

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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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  • It becomes the function of philosophy, dealing with these utterances, to relate them to the results of other spheres of experience, and to determine their real meaning in the more exact terms of thought.

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  • The Ard-Rig was selected by the sub-kings and other leading men who legally constituted the Feis of Tara, the sub-kings by those under them in their respective spheres.

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  • The solidarity of clan and fine in their respective spheres, the provisions of the system, the simple rural life, and the prevalence of barter and payments in kind, left comparatively little occasion for contracts between individuals.

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  • As to intellectual vigour, the age that produced two minds of such marked originality in different spheres as Wycliffe and Chaucer must not be despised, even if it failed to carry out all the promise of the 13th century.

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  • Gaultier, on the graphical construction of circles and spheres (Jour.

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  • A line became continuous, returning into itself by way of infinity; two parallel lines intersect in a point at infinity; all circles pass through two fixed points at infinity (the circular points); two spheres intersect in a fixed circle at infinity; an asymptote became a tangent at infinity; the foci of a conic became the intersections of the tangents from the circular points at infinity; the centre of a conic the pole of the line at infinity, &c. In analytical geometry the line at infinity plays an important part in trilinear co-ordinates.

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  • In China large spheres of good coloured coral command high prices, being in great requisition for the button of office worn by the mandarins.

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  • Within the smaller spheres of their jurisdiction, the sub-prefect and mayor have the same duties to fulfil as their superior, the prefect.

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  • They were, on the other hand, probably acquainted, a couple of millenniums before Meton gave it his name, with the nineteen-year cycle, by which solar and lunar years were harmonized; 1 they immemorially made observations in the meridian; regulated time by water-clocks, and used measuring instruments of the nature of armillary spheres and quadrants.

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  • The long-lived conception of a series of crystal spheres, acting as the vehicles of the heavenly bodies, and attuned to divine harmonies, seems to have originated with Pythagoras himself.

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  • The sun and moon and the five planets were, with this end in view, accommodated each with a set of variously revolving spheres, to the total number of 27.

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  • He invented, or improved armillary spheres, the chief implements of ancient astrometry, determined the obliquity of the ecliptic at 23° 51' (a value 5' too great), and introduced an effective mode of arc-measurement.

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  • MUSIC OF THE SPHERES, in Pythagorean philosophy, the harmony produced by the heavenly bodies in their orbits, inaudible to human ears.

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  • Spheres Of Influence >>

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  • In ancient astronomy the firmament was the eighth sphere containing the fixed stars surrounding the seven spheres of the planets.

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  • Universal organizing action produces the forms of intercourse, and universal symbolizing action produces the various forms of science; individual organizing action yields the forms of property and individual symbolizing action the various representations of feeling, all these constituting the relations, the productive spheres, or the social conditions of moral action.

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  • The moral process is accomplished by the various sections of humanity in their individual spheres, and the doctrine of virtue deals with the reason as the moral power in each individual by which the totality of moral products is obtained.

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  • He also wrote or edited various Chinese works on geography, the celestial and terrestrial spheres, geometry and arithmetic. And the detailed history of the mission was drawn out by him, which after his death was brought home by P. Nicolas Trigault, and published at Augsburg, and later in a complete form at Lyons under the name De Expeditione Christiana apud Sinas Suscepta, ab Soc. Jesu, Ex P. Mat.

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  • He claims to have shown that the dogmas of the eternity of matter and the permanence of the world are false; that their description of the Deity as the demiurgos is unspiritual; that they fail to prove the existence, the unity, the simplicity, the incorporeality or the knowledge (both of species and accidents) of God; that their ascription of souls to the celestial spheres is unproved; that their theory of causation, which attributes effects to the very natures of the causes, is false, for that all actions and events are to be ascribed to the Deity; and, finally, that they cannot establish the spirituality of the soul, nor prove its mortality.

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  • He denies the intrinsic tendencies, or souls, by which the Aristotelians explained the motion of the spheres, because he ascribes their motion to God.

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  • Roman Spain.The Romans divided Spain into two spheres of administration (provinciae), Hither or Citerior, that is the northern districts which were nearer to Italy, and Repubnesn Further or Ulterior, the south.

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  • At a later period the two kingdoms defined their respective spheres of influence by a treaty.

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  • The voyage of Columbus had unforeseen consequences which led to diplomatic difficulties with Portugal, and the treaty of Tordesillas in 1494, which defined the respective spheres of influence of the two powers in the New World and in Asia.

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  • A convex lens of rockcrystal was found by Layard among the ruins of the palace of Nimrud; Seneca describes hollow spheres of glass filled with water as being commonly used as magnifiers.

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  • The nymphs were distinguished according to the different spheres of nature with which they were connected.

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  • The supreme end prescribed by reason in its practical aspect, namely, the complete subordination of the empirical side of nature to the prescripts of morality, demands, as conditions of its possible realization, the permanence of ethical progress in the moral agent, the certainty of freedom in self-determination, and the necessary harmonizing of the spheres of sense and reason through the intelligent author or ground of both.

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  • Union between the two spheres, which seem at first sight disparate, is found in the necessary postulate that reason shall be realized, for its realization is only possible in the sphere of sense.

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  • His eyes were closer to normal, swirling black spheres.

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  • In Britain, finally, the church, or rather the churches, wield tremendous influence in all spheres of life.

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  • Across the landscape are spheres that look like giant anthills.

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  • The idealized Platonic universe of spheres and circles came to be regarded as axiomatic.

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  • In texts such as the Epistles of the Ikhwan al-Safa ', it refers to the angels that rule the celestial spheres.

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  • center of the universe, with crystalline spheres within spheres whirling around it.

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  • Work, production and ownership were all communal, and in these spheres what concerned all was discussed by all.

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  • concentric spheres with a clear texture on them.

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  • In ancient cosmology, the planetary spheres ascended from Earth to Heaven like the rungs of a ladder.

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  • creamy lather, enriched gentle polishing vegetal micro spheres.

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  • firmament of fixed stars beyond the transparent spheres.

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  • The ceramic spheres each have a vacuum inside, similar to a mini Thermos flask.

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  • harmony of the spheres ' .

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  • hermetic tradition, this is known as " the music of the spheres.

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  • In the political and economic spheres this pining for the purity of the Middle Ages is completely impotent.

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  • iron oxide nanoparticle spheres along the edges of clay mineral plates in River Isere sediment.

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  • The light scattering irradiance for spheres is calculated using the equation, 1.0 where is the scattering amplitude function given by [2] .

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  • Every day, succumb to the pleasure of the creamy lather, enriched gentle polishing vegetal micro spheres.

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  • Music Of The Spheres: January 2004 The Universe has its own heavenly sounds, such as pulsars, planetary magnetospheres and solar winds.

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  • packing of equal spheres.

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  • The structure is a cubic close packing of equal spheres.

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  • These celestial spheres carried portents for the future, the object's in the skies carried implicit and explicit significance and meaning.

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  • You must use your mystical winged scarab to shoot magical spheres and destroy the approaching colored spheres by making matches of three or more.

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  • Simple algebraic operations are then used to intersect two spheres, or a line and a sphere.

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  • After several tries some flattened spheres, some blue, some red, come into fuzzy view.

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  • Armillary spheres These resemble a miniature Earth made from bands of metal.

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  • As it passed through the planetary spheres, so it received a portion of each planet's nature.

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  • Nature is variable because the heavenly spheres vary their state, and therefore human beings vary in their qualities.

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  • The fellow will introduce probes spheres (both polystyrene and magnetic) in to a range of cells.

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  • sublunary world extend the planetary spheres, out to the sphere of the Fixed Stars.

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  • Yet Hofland's defense of the ideology of gender spheres is not so superannuated that it cavils at the role of women as writers.

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  • The density relieving spheres within CMM dramatically damp vibration, offering a pure, soft feel.

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  • viscoelastic response of a suspension of hard spheres.

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  • Untitled - Yukako Shibata When objects sit on a mirror they appear to be almost floating - the three spheres become weightless.

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  • Dedicated and distinguished service was rendered by the ATS during the war in all spheres and in all activities whose scopes were gradually widened.

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  • Moreover, since the same amount of energy is propagated across all spheres concentric with the particle, we recognize that i varies as r.

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  • In the case of spheres, we the dielectric constants proper to the medium and to the obstacle respectively (Phil.

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  • This treatise is in two books, dedicated to Dositheus, and deals with the dimensions of spheres, cones, "solid rhombi" and cylinders, all demonstrated in a strictly geometrical method.

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  • The second book is in nine propositions, eight of which deal with segments of spheres and include the problems of cutting a given sphere by a plane so that (a) the surfaces, (b) the volumes, of the segments are in a given ratio (Props.

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  • Related to the tetrahedron are two spheres which have received much attention.

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  • Those who favour a Church Establishment hold that Church and state should each be supreme in its own sphere, and that on these terms a union between them is not only lawful but is the highest exemplification of Christian statesmanship. So long as these two spheres are at all points clearly distinct, and so long as there is a desire on the part of each to recognize the supremacy of the other, there is little danger of friction or collision.

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  • In 1526 he was sent out in command of an expedition fitted out for the purpose of determining by astronomical observations the exact line of demarcation, under the treaty of Tordesillas, between the colonizing spheres of Spain and Portugal, and of conveying settlers to the Moluccas.

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  • Cromwell's career as a statesman has been already traced in its different spheres, and an endeavour has been made to show the breadth and wisdom of his conceptions and at the same time the cause of the immediate failure of his constructive policy.

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  • At the same time he carried to a successful conclusion negotiations begun by Crispi for the renewal of commercial treaties with Austria and Germany upon terms which to some extent compensated Italy for the reduction of her commerce with France, and concluded with Great Britain conventions for the delimitation of British and Italian spheres of influence in north-east Africa.

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  • Kant, like Leibnitz, seeks to reconcile the mechanical and teleological views of nature, only he assigns to these different spheres.

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  • It is the same thought which collected in the cosmic space the divided masses into spheres, and combined these to solar systems; the same which caused the weather-beaten dust on the surface of our metallic planet to spring forth into living forms."

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  • Justinian has a clearer perception of the demarcation between the spheres of spiritual and temporal law.

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  • Some Churches still continued the three weeks' fast, but by the middle of the 5th century most of these divergences had ceased and the usages of Antioch-Constantinople and Rome-Alexandria had become stereotyped in their respective spheres of influence.

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  • In a small but influential section of the educated classes there was a conviction that the revolutionary tendencies, which culminated in Nihilism and Anarchism, proceeded from the adoption of cosmopolitan rather than national principles in all spheres of educational and administrative activity, and that the best remedy for the evils from which the country was suffering was to be found in a return to the three great principles of Nationality, Orthodoxy and Autocracy.

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  • On the 31st of August of the same year the long period of mutual suspicion between Great Britain and Russia was closed by a convention for an amicable settlement of all questions likely to disturb the relations of the two Powers in Asia generally, including the demarcation of Persia into spheres of influence (see Persia: History).

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  • It is, in fact, "a procedure whereby communication is established between the sacred and profane spheres by a victim, that is to say by an object destroyed in the course of the ceremony."

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  • We are not here concerned with understandings as to " spheres of influence," or with arrangements such as the AngloRussian Convention of 1907 concerning Persia.

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  • It leaves the Hindu Kush near the Dorah Pass at the head of one of the minor Chitral affluents, and passing south-west divides Kafiristan from Chitral and Bajour, separates the sections of the Mohmands who are within the respective spheres of Afghan and British sovereignty, and crosses the Peshawar-Kabul route at Lundi-Khana.

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  • No material advance was made on Ptolemy's instrument until Tycho Brahe, whose elaborate armillary spheres passing into astrolabes are figured in his Astronjmiae Instauratae Mechanica.

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  • Armillary spheres occur in many old sculptures, paintings and engravings; and from these sources we know that they were made for suspension, for resting on the ground or on a table, for holding by a short handle, or either for holding or for resting on a stand.

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  • The summingup of divine powers manifested in the universe in a threefold division represents an outcome of speculation in the schools attached to the temples of Babylonia, but the selection of Anu, Bel and Ea for the three representatives of the three spheres recognized, is due to the importance which, for one reason or the other, the centres in which Anu, Bel and Ea were worshipped had acquired in the popular mind.

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  • The dioceses were now mapped out into several archdeaconries (archidiaconatus), which corresponded with the political divisions of the countries; and these defined spheres, in accordance with the prevailing feudal tendencies of the age, gradually came to be regarded as independent centres of jurisdiction.'

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  • Bonaparte's selection gave general satisfaction, as also did the personnel of the Council of State (divided into five sections for the chief spheres of government) and of the other organs of state.

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  • In the first of these spheres the victory of Marengo (14th of June 1800) was of special importance, as it consolidated the reputation of Bonaparte at a time when republican opposition was gathering strength.

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  • Strong generals were needed in the separate divisions of the empire, and these, as has always been the case in Eastern empires, made themselves independent in their spheres of command, because there was no organization to keep them together under a single control.

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  • In other spheres the immunities and exemptions of the Church offered a far more serious problem, and especially in the sphere of finance.

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  • In remembrance of these victims of popular wrath Jalal-uddin founded the order of the Maulawi (in Turkish Mevlevi) dervishes, famous for their piety as well as for their peculiar garb of mourning, their music and their mystic dance (sama), which is the outward representation of the circling movement of the spheres, and the inward symbol of the circling movement of the soul caused by the vibrations of a Sufi's fervent love to God.

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  • Money was also struck in their own name by the cities in the several dynasties' spheres of power, but in most cases only bronze or small silver for local use.

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  • During 1884, 1885, 1886 treaties guaranteeing British protection were concluded with various Somali tribes and in 1888 the limits of the British and French spheres were defined, all claims to British jurisdiction in the Gulf of Tajura and the islands of Musha and Bab being abandoned.

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  • He governs the visible world, preserves the harmony and guides the revolutions of all the spheres, and is the captain of all the myriads of angelic beings.

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  • The good he did was limited to the spheres of public works and police; in other respects his rule was a pernicious influence for Cuba.

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  • These globular bodies are, in fact, merely the more coherent portions of a perlite; the rest of the rock falls down in a fine powder setting free the glassy spheres.

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  • In their natural condition the marekanite spheres are doubly refracting, but when they have been heated and very slowly cooled they lose this property and no longer exhibit any tendency to sudden disintegration.

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  • The battle of Thapsus in 46 made the Romans definitely masters of Numidia, and the spheres of administration were clearly marked out.

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  • The potential due to a single pole of strength m at the distance r from the pole is V = m/ r, (7) the equipotential surfaces being spheres of which the pole is the centre and the lines of force radii.

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  • For small bodies other than spheres the coefficient will be different, but its sign will always be negative for diamagnetic substances and positive for others; hence the forces acting on any small body will be in the same directions as in the case of a sphere' Directing Couple acting on an Elongated Body.

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  • When the fluids inside a particle were mixed together, the particle was neutral; when they were more or less completely separated, the particle became magnetized to an intensity depending upon the magnetic force applied; the whole body therefore consisted of a number of little spheres having north and south poles, each of which exerted an elementary action at a distance.

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  • The soul of the bull rose to the celestial spheres and became the guardian of herds and flocks under the name of Silvanus.

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  • cvii.) and inscriptions preserve the knowledge that the mystic, sacratus, passed through seven degrees, which probably corresponded to the seven planetary spheres traversed by the soul in its progress to wisdom, perfect purity, and the abode of the blest: Corax, Raven, so named because the raven in Mithraic mythology was the servant of the Sun; Cryphius, Occult, a degree in the taking of which the mystic was perhaps hidden from others in the sanctuary by a veil, the removal of which was a solemn ceremonial; Miles, Soldier, signifying the holy warfare against evil in the service of the god; Leo, Lion, symbolic of the element of fire; Perses, Persian, clad in Asiatic costume, a reminiscence of the ancient origin of the religion; Heliodromus, Courier of the Sun, with whom Mithras was identified; Pater, Father, a degree bringing the mystic among those who had the general direction of the cult for the rest of their lives.

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  • Cobden had married in 1840 Miss Catherine Anne Williams, a Welsh lady, and left five surviving daughters, of whom Mrs Cobden-Unwin (wife of the publisher Mr Fisher Unwin), Mrs Walter Sickert (wife of the painter) and Mrs Cobden-Sanderson (wife of the well-known artist in bookbinding), afterwards became prominent in various spheres, and inherited their father's political interest.

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  • The Governments of Belgrade and Zagreb were to retain their former spheres until a constituent assembly, elected by universal suffrage, could draw up a new constitution.

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  • We imagine a wave-front divided o x Q into elementary rings or zones - often named after Huygens, but better after Fresnelby spheres described round P (the point at which the aggregate effect is to be estimated), the first sphere, touching the plane at 0, with a radius equal to PO, and the succeeding spheres with radii increasing at each step by IX.

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  • To assist his lectures on astronomy he constructed elaborate globes of the terrestrial and celestial spheres, on which the course of the planets was marked; for facilitating arithmetical and perhaps geometrical processes he constructed an abacus with twenty-seven divisions and a thousand counters of horn.

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  • To these may be added a very short disquisition on the same subject addressed to Adalbold, and a similar one, on one of his own spheres, addressed to Constantine, abbot of Micy.

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  • Seldom has it happened, since the discovery of the law of gravity, that so profound an impression has been made upon the scientific world at large as by the revelation of the part played by germ-life in nature; seldom has any discovery been fraught with such momentous issues in so many spheres of science and industry.

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  • - In recent times the positive bent of modern knowledge and methods in other spheres of science and thought, and especially in biology, has influenced medicine profoundly.

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  • As regards pulmonary disease, pneumonia has passed more and more definitely into the category of the infections: the modes of invasion of the lungs and pleura by tuberculosis has been more and more accurately followed; and the treatment of these diseases, in the spheres both of prevention and of cure, has undergone a radical change.

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  • In foreign affairs, the conclusion of a treaty with Russia for delimiting the British and Russian spheres of influence in the Middle East laid the foundations of entirely new relations between the British and Russian governments.

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  • Between two concentric spheres, with a 2 +A = r 2, a2+A1=a12, A=B =C =a3/3r3, a 3 a 3 a3 _ a3 Cb _1U x r 3 a13 Y'=2 Uy2 r3 3 a13 .

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  • 2A 0 - 2AI 2 a 1 3 - a3 When the spheres are not concentric, an expression for the effective inertia can be found by the method of images (W.

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  • The method of electrical images will enable the stream function, )' to be inferred from a distribution of doublets, finite in number when the surface is composed of two spheres intersecting at an angle 7r/m, where m is an integer (R.

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  • Thus for m =2, the spheres are orthogonal, and it can be verified that a13 a2 3 aY3 i f /' = ZU (I - 13 - 7.2 3 + 3) ' (8) where a l, a2, a =a l a 2 /J (a 1 2 +a 2 2) is the radius of the spheres and their circle of intersection, and r 1, r 2, r the distances of a point from their centres.

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  • Two equal spheres, intersecting at 120°, will require - I U j x _ a 3 a4(a 7 2 x) a3 a4(a+2x)] (II) 2 - _ 2 y a 271 3 271 +2Y2 3 2720 ' with a similar expression for cylinders; so that the plane x=o may be introduced as a boundary, cutting the surface at 60°.

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  • Of other common types of condenser, we may notice the "spiral" or "worm" type, which consists of a glass, copper or tin worm enclosed in a vessel in which water circulates; and the ball condenser, which consists of two concentric spheres, the vapour passing through the inner sphere and water circulating in the space between this and the outer (in another form the vapour circulates in a shell, on the outside and inside of which water circulates).

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  • Coulomb proved that this mechanical force varies inversely as the square of the distance between the centres of the spheres.

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  • A very small sphere is said then to possess a charge of one electrostatic unit of quantity, when it repels another similar and similarly electrified body with a force of one dyne, the centres being at a distance of one centimetre, provided that the spheres are in vacuo or immersed in some insulator, the dielectric constant of which is' taken as unity.

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  • If the two small conducting spheres are placed with centres at a distance d centimetres, and immersed in an insulator of dielectric constant K, and carry charges of Q and Q' electrostatic units respectively, measured as above described, then the mechanical force between them is equal to QQ'/Kd 2 dynes.

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  • capacity of two concentric spheres, of two coaxial cylinders and of two parallel planes.

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  • Consider the case of two concentric spheres, a solid one enclosed in a hollow one.

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  • Such a pair of concentric spheres constitute a condenser (see Leyden Jar), and it is obvious that by making R2 nearly equal to R 1, we may enormously increase the capacity of the inner sphere.

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  • Yet, allpowerful in their individual spheres of action, they can influence the fortunes of men and can enter into relations with them.

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  • Some thinkers have identified the two, while others regard Epistemology as a subdivision of logic; others demarcate their relative spheres by confining logic to the science of the laws of thought, i.e.

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  • After the return of Columbus and his supposed demonstration that the Indies could be reached by sailing west, disputes might obviously arise between the two powers as to their respective "spheres of influence."

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  • To obtain (i) and (ii) together, we show that the volume of a sphere is proportional to the volume of the cube whose edge is the diameter; denoting the constant ratio by aX, the volume of the sphere is Xa 3, and thence, by taking two concentric spheres (cf.

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  • The waves from a source surrounded by a uniform medium at rest spread out as spheres with the source as centre.

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  • If we take one of these spheres a distance from the source very great as compared with a single wave-length, and draw a radius to a point on the sphere, then for some little way round that point the sphere may be regarded as a plane perpendicular to the radius or the line of propagation.

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  • The difficulty arises from a confusion between the spheres of phenomena and noumena.

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  • But with the sole exception of proving that the volumes of spheres are in the triplicate ratio of their diameters, a theorem probably due to Eudoxus, no mention is made of its mensuration.

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  • Systems of spheres have characters analogous to those of systems of circles.

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  • If r, r i be the radii of two spheres, d the distance between the centres, and 0 the angle at which they intersect, then d2=r2+ r12 2rr l cos ¢ hence 2rr 1 cos =d2r2 - r22.

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  • This function is named the "power" of the two spheres, and it is important in the investigation of systems of spheres.

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  • Two spheres intersect in a plane, and the equation to a system of spheres which intersect in a common circle is x 2 + y 2 + z 2 +2Ax -fD = o, in which A varies from sphere to sphere, and D is constant for all the spheres, the plane yz being the plane of intersection, and the axis of x the line of centres.

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  • Corresponding to the radical centre of three circles, it may be shown that four spheres have a radical centre, i.e.

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  • that there exists a point such that the tangents from this point to the four spheres are equal, and that with this point as centre, and the length of the tangent as radius, a sphere may be described which cuts, the four spheres at right angles; this "orthotomic" sphere corresponds to the orthogonal circle of a system of circles.

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  • Music Of The Spheres >>

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  • The principle of full equality of electoral rights in all three spheres was not carried out till the republic.

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  • Many branches of the territorial administration had great similarities with those of the State, so that their spheres of activity frequently overlapped and came into collision.

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  • Hippolytus's voluminous writings, which for variety of subject can be compared with those of Origen, embrace the spheres of exegesis, homiletics, apologetics and polemic, chronography and ecclesiastical law.

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  • The boundary between the Spanish and Portuguese spheres was fixed at 17° E.

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  • The settlement of IIII may be said to have embodied the only solution of the great question that was right in principle, since it pronounced in favour of a clear distinction between the spiritual and temporal spheres.

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  • He therefore claimed in both spheres the supreme administrative, legislative and judicial authority.

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  • Seven lay exhorters were also at the meetings; they were questioned as to their spiritual experience and allotted their several spheres; other matters pertaining to the new conditions created by the revival were arranged.

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  • The earliest experiments of this nature are due to Benjamin Robins in 1743 and Count Rumford in 1792; and their method has been revived by Dr Kellner, War Department chemist, who 5 employed the steel spheres of bicycle ball-bearings as safetyvalves, loaded to register the pressure at which the powdergas will blow off, and thereby check the indications of the crusher-gauge (Proc. R.S., March 1895).

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  • In the study of the classics, as in other spheres, it was revolution rather than evolution that was loudly demanded.

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  • Gnosticism is to a great extent dominated by the idea that it is above all and in the highest degree important for the Gnostic's soul to be enabled to find its way back through the lower worlds and spheres of heaven ruled by the Seven to the kingdom of light of the supreme deity of heaven.

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  • But the form in which the whole is set forth is Oriental, and it must be carefully noted that the Mithras mysteries, so closely connected with the Persian religion, are acquainted with this doctrine of the ascent of the soul through the planetary spheres (Origen, Contra Celsum, vi.

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  • Common to all these is the dominant position assumed by the " Seven " (headed by Ialdabaoth); the heavenly world lying above the spheres of the Seven is occupied by comparatively few figures, among which the most important part is played by the µ rrlp, who is sometimes enthroned as the supreme goddess in heaven, but in a few systems has already descended from there into matter, been taken prisoner, &c. Numerous little groups are distinguished from the mass, sometimes by one peculiarity, sometimes by another.

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  • Among Asiatic points of resemblance to which attention has since been called is the Mexican belief in the nine stages of heaven and hell, an idea which nothing in nature would suggest directly to a barbaric people, but which corresponds to the idea of successive heavens and hells among Brahmans and Buddhists, who apparently learnt it (in common with our own ancestors) from the Babylonian-Greek astronomical theory of successive stages or concentric planetary spheres belonging to the planets, &c. The Spanish chronicles also give accounts of a Mexican game called patolli, played at the time of the conquest with coloured stones moved on the squares of a cross-shaped figure, according to the throws of beans marked on one side; the descriptions of this rather complicated game correspond closely with the Hindu backgammon called pachisi (see Tylor in Jour.

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  • They never during the Republican period lost the right of criminal jurisdiction, in spite of the fact that so many spheres of this jurisdiction had been assigned in perpetuity to standing commissions (quaestiones per petuae).

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  • The aim of those who framed the Constitution was to avoid friction between the state governments and the Federal government by rendering their respective spheres of action as separate and distinct as possible.

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  • The British North America Act assigns to the different provinces, as to the central parliament, their spheres of control, but all residuary powers are given to the general government.

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  • Allowance must be made for the shifting of boundaries or of spheres of influence (Egypt, Edom, Moab), for the incorporation of tribes and of their own tribal traditions, and in particular for other movements (e.g.

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  • A, The egg-cell has divided into two spheres, of which the lower contains more food-material, whilst the upper is again incompletely divided into two smaller spheres.

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  • B, 0.1e of the two smaller spheres is reunited to the larger sphere.

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  • Many of the young men and women, who were supposed to be qualifying as specialists in the various spheres of industrial and commercial enterprise, were in reality devoting their time to considering how human society in general, and Russian society in particular, could be reconstructed in accordance with the latest physiological, biological and sociological principles.

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  • These self-governing colonies with their spheres of influence, with vast areas still unpeopled, have a future before them which is dissociated from the methods of an over-peopled Europe, and among them the preservation of peace is the direct object and condition of their progressive development.

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  • The two courts would have separate spheres of activity, and litigants would practically have the option of submitting their differences to a judicial court which would regard itself as being bound by the letter of the law and by judicial methods or to a special court created ad hoc with a purely arbitrative character.

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  • This led to the creation and determination of spheres of influence.

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  • By fixing the areas of these spheres of influence rival states in western and central Africa avoided conflicts and preserved their rights until they were able to take a more effective part in their development.

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  • The idea of " spheres of influence " has in turn been applied even to more settled and civilized countries, such as China and Persia.

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  • C is compensated by permanent magnets athwartships and horizontal; D by masses of soft iron on both sides of the compass, and generally in the form of cast-iron spheres, with their centres in the same horizontal plane as the needles; E is usually too small to require correction; A is fortunately rarely of any value, as it cannot be corrected.

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  • involved in the tangle of European diplomacy; he is the monarch of a vast, admirably organized, spiritual world-empire, and when - as must needs happen - the overlapping of the spiritual and temporal spheres brings him into conflict with a secular power, his diplomacy is backed, wherever Catholic sentiment is strong, by a force which the secular power has much difficulty in resisting;.

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  • When Mitanni fell Babylon no doubt adhered to its older claims on Mesopotamia; but the Kassite kings could do little to contest the advance of Assyria, although several rectifications of the boundary between their spheres are reported.

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  • Each particle may react in some way on the solvent in its neighbourhood, but if the solution be so dilute that each of these spheres of influence is unaffected by the rest, no further addition of solvent will change the connexion between one particle of solute and its associated solvent.

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  • When the solution ceases to be dilute in the thermodynamic sense of the word, that is, when the spheres of influence of the solute particles intersect each other, this reasoning ceases to apply, and the resulting modification of the gas laws as applied to solutions becomes a matter for further investigation, theoretical or experimental.

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  • In 1840 the class for distinction for science and art, or peace class (Friedensklasse) was founded by Frederick William IV., for those " who have gained an illustrious name by wide recognition in the spheres of science and art."

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  • Both " mission " and " missionary " have hence come to be used of similar works in other spheres.

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  • is of peculiar interest, because of the intrusion of economic problems into the spheres of national politics and even of religion.

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  • Lorenz and others have employed similar methods, depending on the observation of the rate of change of temperature at certain points of bars, rings, cylinders, cubes or spheres.

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  • The greater number of these associations cover a very wide field, generally the whole empire; in such cases they are empowered to divide their spheres into sections, and to establish agents in different centres to inquire into cases of accident, and to see to the carrying out of the rule~ prescribed by the association for the avoidance of accidents.

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  • In this duel the victory of Austria was soon declared, The Prussian government believed that the effective government of Germany could only be secured by a separate understanding between the two great powers; and the indiscretion of the Prussian plenipotentiary revealed to the diet a plan for what meant practically the division of Germany into Prussian and Austrian spheres of influence.

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  • In the earliest existing monument of the Hellenic genius, the Homeric poems, one may already observe that regulative sense of form and proportion, which shaped the later achievements of the race in the intellectual and artistic spheres.

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  • Even in the spheres of art and literature, the Italians, while so largely guided by Greek canons, had something of their own to contribute.

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  • The success of the Anglo-Egyptian condominium, and the consequent economic and financial prosperity of Egypt proper, rendered it possible, during 1896-1898, to recover Fashoda from the Mahdists the Sudanese provinces (see Military Operations), and to delimit in that part of Africa, in accordance with Anglo-Egyptian interests, the respective spheres of influence of Great Britain and France.

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  • of the AngloFrench convention of June 14th, 1898, which dealt with the British and French spheres of influence in the region of the Niger, France was excluded from the basin of the Nile, and a line marking the respective spheres of influence of the two countries was drawn on the map from the northern frontier of the Congo Free State to the southern frontier of the Turkisb province of Tripoli.

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  • In the following March the spheres of interest of Great Britain and France in the Nile basin were defined by a declaration making an addition to Article IV.

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  • The areas of intervening cortex, arriving at structural completion later than the above sense-spheres, are called by some association-spheres, to indicate the view that they contain the neural mechanisms of reactions (some have said "ideas") associated with the sense perceptions elaborated in the several sensese spheres.

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  • To these "spheres" some writers add, by figurative usage, the terms "biosphere," or life-sphere, to cover all living things, both animals and plants, and "psychosphere," or mind-sphere, covering all the products of human intelligence.

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  • A people's religion completes and consecrates their whole activity: in it the people rises above its finite life in limited spheres to an infinite life where it feels itself all at one.

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  • Edward Gans (q.v.) and Heinrich Gustav Hotho carried the method into special spheres of inquiry.

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  • The state is the consummation of man as finite; it is the necessary starting-point whence the spirit rises to an absolute existence in the spheres of art, religion and philosophy.

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  • James Gregory, in his Optica Promota (1663), discusses the forms of images and objects produced by lenses and mirrors, and shows that when the surfaces of the lenses or mirrors are portions of spheres the images are curves concave towards the objective, but if the curves of the surfaces are conic sections the spherical aberration is corrected.

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  • Mr Gore, starting from the same basis of faith and authority, soon found from his practical experience in dealing with the "doubts and difficulties" of the younger generation that this uncompromising attitude was untenable, and set himself the task of reconciling the principle of authority in religion with that of scientific authority by attempting to define the boundaries of their respective spheres of influence.

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  • If The Molecules Are Supposed To Be Like Smooth, Hard, Elastic Spheres, Incapable Of Receiving Any Other Kind Of Energy Except That Of Translation, The Specific Heat At Constant Volume Would Be The Increase Per Degree Of The Kinetic Energy Namely 3Pv/20=3R/2, That At Constant Pressure Would Be 5R/2, And The Ratio Of The Specific Heats Would Be 5/3 Or 1.666.

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  • Now that which binds together these elements of our nature and maintains their interrelation in their respective spheres of activity - that which determines an individual's powers, his tastes, his opportunities, advantages and drawbacks, in a word, the character - is his "Karma."

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  • The boundaries of the territories, protectorates and spheres of influence in Africa of Great Britain, Germany, France, Italy, Belgium and Portugal have been readjusted by a series of treaties, especially between the years 1885 and 1894.

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  • But the two work in different spheres, and are complementary.

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  • Imagine two spheres of equal radius with 0 as their common centre, one fixed in the body and moving with it, the other fixed in space.

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  • What it did make impossible for him was to attain that union immediately on the cessation of his present life, as he would first have to pass through higher and purer stages of mundane existence before reaching that goal; but in this respect he only shared the lot of all but a very few of the saintliest in the higher spheres of life, since the ordinary twice-born would be liable to sink, after his present life, to grades yet lower than that of the Sudra.

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  • Hence the clergy were left to do as they pleased, so long as they respected the law of the land; and most of the modern collisions between Church and State have occurred on the debateable ground where their respective spheres overlap, over questions concerning education or the marriage-laws.

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  • Cavendish compared the capacity of different bodies with those of conducting spheres of known diameter and states these capacities in " globular inches," a globular inch being the capacity of a sphere 1 in.

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  • He determined the law of distribution between two conducting bodies in contact; and measured with his proof plane the density of the electricity at different points of two spheres in contact, and enunciated an important law.

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  • He ascertained the distribution of electricity among several spheres (whether equal or unequal) placed in contact in a straight line; and he measured the distribution of 2 In 1878 Clerk Maxwell repeated Cavendish's experiments with improved apparatus and the employment of a Kelvin quadrant electrometer as a means of detecting the absence of charge on the inner conductor after it had been connected to the outer case, and was thus able to show that if the law of electric attraction varies inversely as the nth power of the distance, then the exponent n must have a value of 2 t Isua.

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  • After showing that civilized government was practically non-existent in the regions visited, it suggested as the chief remedy the conclusion of a RussoBritish convention, and the division of Persia into spheres of influence.

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  • Its chief provisions, in regard to Persia, are as follows: (I) north of a line drawn from Kasr-iShirin, Isfahan, Yezd and Kakh to the junction of the Russian, Persian and Afghan frontiers Great Britain undertook to seek no political or commercial concession, and to refrain from opposing the acquisition of any such concession by Russia or Russian subjects; (2) Russia gave to Great Britain a like undertaking in respect of the territory south of a line extending from the Afghan frontier to Gazik, Birjend, Kerman and Bander Abbasi; (3) the territory between the lines above-mentioned was to be regarded as a neutral zone in which either country might obtain concessions; (4) all existing concessions in any part of Persia were to be respected; (5) should Persia fail to meet its liabilities in respect of loans contracted, before the signature of the Convention, with the Persian Banque dEscompte and de Prts, or with the Imperial Bank of Persia, Great Britain and Russia reserved the right to assume control over the Persian revenues payable within their respective spheres of influence.

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  • Four of the latter are poetical accounts of the reigns of the emperors of Delhi, Ala-uddin Khilji (1296-1316), his predecessor Feroz Shah and his successor J~utb-uddin MubArek Shahthe Miftah-ulfutuh, or Key of Victories, the Kirnussadain, or The Conjunction of the Two Lucky Planets, the Nub Sipi/ir, or Nine Spheres, and the love-story of Khjdrkhn if Duwalrnf.

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  • But before it had penetrated far inland the political reasons for sending the expedition vanished with the signature, on the 1st of July 1890, of the Anglo-German agreement defining the spheres of influence of the two nations, an agreement which excluded the Albert Nyanza region from the German sphere.

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  • From the astronomers the Stoics borrowed their picture of the universe - a plenum in the form of a series of layers or concentric rings, first the elements, then the planetary and stellar spheres, massed round the earth as centre - a picture which dominated the imagination of men from the days of Eudoxus down to those of Dante or even Copernicus.

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  • After 1492 the discovery of the West Indies by Columbus rendered desirable a delimitation of the Spanish and Portuguese spheres of exploration.

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  • In 1886 Germany, France and Portugal defined by treaty the limits of their adjacent spheres of influence, and on the 26th of March 1887 Macao, hitherto leased to Portugal, was formally ceded by the Chinese government.

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  • The leaders in the movement were Anthero de Quental and Dr Theophilo Braga, the first a student of German philosophy and poetry, the second a disciple of Comte and author of an epic of humanity, Visao dos tempos, whose immense work in the spheres of poetry, criticism and literary history, marred by contradictions, but abounding in life, cannot be judged at present.

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  • As the ellipse degenerates into the straight line joining its foci, the contracted parts of the unduloid become narrower, till at last the figure becomes a series of spheres in contact.

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  • When the conjugate axis of the hyperbola is made smaller and smaller, the nodoid approximates more and more to the series of spheres touching each other along the axis.

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  • Such a film, if ever so little disturbed, will begin to contract at one secton and to expand at another, till its form ceases to resemble a cylinder, if it does not break up into two parts which become ultimately portions of spheres.

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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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  • It becomes the function of philosophy, dealing with these utterances, to relate them to the results of other spheres of experience, and to determine their real meaning in the more exact terms of thought.

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  • The foundation for a cosmology having thus been laid in dualism, the poem went on to describe the generation of " earth and sun, and moon and air that is common to all, and the milky way, and furthest Olympus, and the glowing stars "; but the scanty fragments which have survived suffice only to show that Parmenides regarded the universe as a series of concentric rings or spheres composed of the two primary elements and of combinations of them, the whole system being directed by an unnamed goddess established at its centre.

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  • The Ard-Rig was selected by the sub-kings and other leading men who legally constituted the Feis of Tara, the sub-kings by those under them in their respective spheres.

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  • The solidarity of clan and fine in their respective spheres, the provisions of the system, the simple rural life, and the prevalence of barter and payments in kind, left comparatively little occasion for contracts between individuals.

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  • The result, since the feudal and ecclesiastical systems had become closely interwoven, aiid the frontier between the religious and secular spheres must ever be vague and undefined, was the conflict between the spiritual and temporal powers which, for two centuries to come, was to tear Europe into warring factions (see the articles CHURCH HIsToRY; PAPACY; INVESTITURE).

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  • As to intellectual vigour, the age that produced two minds of such marked originality in different spheres as Wycliffe and Chaucer must not be despised, even if it failed to carry out all the promise of the 13th century.

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  • Gaultier, on the graphical construction of circles and spheres (Jour.

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  • A line became continuous, returning into itself by way of infinity; two parallel lines intersect in a point at infinity; all circles pass through two fixed points at infinity (the circular points); two spheres intersect in a fixed circle at infinity; an asymptote became a tangent at infinity; the foci of a conic became the intersections of the tangents from the circular points at infinity; the centre of a conic the pole of the line at infinity, &c. In analytical geometry the line at infinity plays an important part in trilinear co-ordinates.

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  • In China large spheres of good coloured coral command high prices, being in great requisition for the button of office worn by the mandarins.

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  • Within the smaller spheres of their jurisdiction, the sub-prefect and mayor have the same duties to fulfil as their superior, the prefect.

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  • They were, on the other hand, probably acquainted, a couple of millenniums before Meton gave it his name, with the nineteen-year cycle, by which solar and lunar years were harmonized; 1 they immemorially made observations in the meridian; regulated time by water-clocks, and used measuring instruments of the nature of armillary spheres and quadrants.

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  • The long-lived conception of a series of crystal spheres, acting as the vehicles of the heavenly bodies, and attuned to divine harmonies, seems to have originated with Pythagoras himself.

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  • The sun and moon and the five planets were, with this end in view, accommodated each with a set of variously revolving spheres, to the total number of 27.

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  • He invented, or improved armillary spheres, the chief implements of ancient astrometry, determined the obliquity of the ecliptic at 23° 51' (a value 5' too great), and introduced an effective mode of arc-measurement.

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  • MUSIC OF THE SPHERES, in Pythagorean philosophy, the harmony produced by the heavenly bodies in their orbits, inaudible to human ears.

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  • Spheres Of Influence >>

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  • In ancient astronomy the firmament was the eighth sphere containing the fixed stars surrounding the seven spheres of the planets.

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  • Universal organizing action produces the forms of intercourse, and universal symbolizing action produces the various forms of science; individual organizing action yields the forms of property and individual symbolizing action the various representations of feeling, all these constituting the relations, the productive spheres, or the social conditions of moral action.

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  • The moral process is accomplished by the various sections of humanity in their individual spheres, and the doctrine of virtue deals with the reason as the moral power in each individual by which the totality of moral products is obtained.

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  • He also wrote or edited various Chinese works on geography, the celestial and terrestrial spheres, geometry and arithmetic. And the detailed history of the mission was drawn out by him, which after his death was brought home by P. Nicolas Trigault, and published at Augsburg, and later in a complete form at Lyons under the name De Expeditione Christiana apud Sinas Suscepta, ab Soc. Jesu, Ex P. Mat.

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  • He claims to have shown that the dogmas of the eternity of matter and the permanence of the world are false; that their description of the Deity as the demiurgos is unspiritual; that they fail to prove the existence, the unity, the simplicity, the incorporeality or the knowledge (both of species and accidents) of God; that their ascription of souls to the celestial spheres is unproved; that their theory of causation, which attributes effects to the very natures of the causes, is false, for that all actions and events are to be ascribed to the Deity; and, finally, that they cannot establish the spirituality of the soul, nor prove its mortality.

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  • He denies the intrinsic tendencies, or souls, by which the Aristotelians explained the motion of the spheres, because he ascribes their motion to God.

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  • Mensuration of the Platonic Solids.-The mensuration of the regular polyhedra is readily investigated by the methods of elementary geometry, the property that these solids may be inscribed in and circumscribed to concentric spheres being especially useful.

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  • Roman Spain.The Romans divided Spain into two spheres of administration (provinciae), Hither or Citerior, that is the northern districts which were nearer to Italy, and Repubnesn Further or Ulterior, the south.

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  • At a later period the two kingdoms defined their respective spheres of influence by a treaty.

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  • The voyage of Columbus had unforeseen consequences which led to diplomatic difficulties with Portugal, and the treaty of Tordesillas in 1494, which defined the respective spheres of influence of the two powers in the New World and in Asia.

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  • A convex lens of rockcrystal was found by Layard among the ruins of the palace of Nimrud; Seneca describes hollow spheres of glass filled with water as being commonly used as magnifiers.

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  • The nymphs were distinguished according to the different spheres of nature with which they were connected.

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  • The supreme end prescribed by reason in its practical aspect, namely, the complete subordination of the empirical side of nature to the prescripts of morality, demands, as conditions of its possible realization, the permanence of ethical progress in the moral agent, the certainty of freedom in self-determination, and the necessary harmonizing of the spheres of sense and reason through the intelligent author or ground of both.

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  • Union between the two spheres, which seem at first sight disparate, is found in the necessary postulate that reason shall be realized, for its realization is only possible in the sphere of sense.

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  • Bilibin's services were valued not only for what he wrote, but also for his skill in dealing and conversing with those in the highest spheres.

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  • And at once, as a clock begins to strike and chime as soon as the minute hand has completed a full circle, this change was shown by an increased activity, whirring, and chiming in the higher spheres.

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  • You must use your mystical winged scarab to shoot magical spheres and destroy the approaching colored spheres by making matches of three or more.

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  • Simple algebraic operations are then used to intersect two spheres, or a line and a sphere.

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  • After several tries some flattened spheres, some blue, some red, come into fuzzy view.

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  • Armillary spheres These resemble a miniature Earth made from bands of metal.

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  • As it passed through the planetary spheres, so it received a portion of each planet 's nature.

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  • Nature is variable because the heavenly spheres vary their state, and therefore human beings vary in their qualities.

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  • The fellow will introduce probes spheres (both polystyrene and magnetic) in to a range of cells.

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  • Beyond this sublunary world extend the planetary spheres, out to the sphere of the Fixed Stars.

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  • Yet Hofland 's defense of the ideology of gender spheres is not so superannuated that it cavils at the role of women as writers.

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  • The density relieving spheres within CMM dramatically damp vibration, offering a pure, soft feel.

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  • Here we use the approach to study numerically the viscoelastic response of a suspension of hard spheres.

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  • Untitled - Yukako Shibata When objects sit on a mirror they appear to be almost floating - the three spheres become weightless.

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  • Dedicated and distinguished service was rendered by the ATS during the war in all spheres and in all activities whose scopes were gradually widened.

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  • The hydrosphere is one of the four spheres of the earth.

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  • As skilled and smart as you may be, you probably lack expertise and experience in certain spheres.

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  • Students at these schools enjoy wide and lively social spheres and the chance to interact with many different people.

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  • The Rolling Stones are one of the most famous bands of all time in the pop and rock spheres, and demand for their music is as high now as it ever was.

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  • While we think of pearls as being small round spheres, perfectly smooth and round, more unusual shapes can be found naturally.

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  • Tools are still used to solve puzzles, but now instead of switching between your four main characters, Jude acquires the now-temporary items from spheres found in dungeons.

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  • Spheres automatically open, and the creature appears when they land on a metallic card.

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  • Instead, they collect the spheres and cards, keeping them in a case and playing with them much like they would action figures.

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  • By wrapping the vitamin C in liposomal spheres, the vitamin is able to reach the liver where it will be metabolized.

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  • Whether you love simple glass spheres, art glass balls, or traditional handmade and handpainted glass ornaments, you'll find something to lift your spirits each Christmas.

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  • Like much of our lives, parenting often overlaps between the public and private spheres.

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  • Your position exists within the area where both of these spheres overlap.

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  • By the time the receiver has obtained the signals from the third and fourth satellites, the overlapping portion of all spheres focus to a point that identifies your position on the earth within a very accurate radius.

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  • Goat cheese can come in a variety of shapes, such as spheres, logs, pyramids, discs, and more.

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  • Sam's role harks back to a time in which master and servant had well-defined spheres and in which servants absorbed the status and values of their masters, rejoicing in their successes and commiserating at their failures.

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  • His eyes were closer to normal, swirling black spheres.

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  • This treatise is in two books, dedicated to Dositheus, and deals with the dimensions of spheres, cones, "solid rhombi" and cylinders, all demonstrated in a strictly geometrical method.

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  • In 1526 he was sent out in command of an expedition fitted out for the purpose of determining by astronomical observations the exact line of demarcation, under the treaty of Tordesillas, between the colonizing spheres of Spain and Portugal, and of conveying settlers to the Moluccas.

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  • Some Churches still continued the three weeks' fast, but by the middle of the 5th century most of these divergences had ceased and the usages of Antioch-Constantinople and Rome-Alexandria had become stereotyped in their respective spheres of influence.

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  • We are not here concerned with understandings as to " spheres of influence," or with arrangements such as the AngloRussian Convention of 1907 concerning Persia.

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  • It leaves the Hindu Kush near the Dorah Pass at the head of one of the minor Chitral affluents, and passing south-west divides Kafiristan from Chitral and Bajour, separates the sections of the Mohmands who are within the respective spheres of Afghan and British sovereignty, and crosses the Peshawar-Kabul route at Lundi-Khana.

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  • Armillary spheres occur in many old sculptures, paintings and engravings; and from these sources we know that they were made for suspension, for resting on the ground or on a table, for holding by a short handle, or either for holding or for resting on a stand.

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  • Bonaparte's selection gave general satisfaction, as also did the personnel of the Council of State (divided into five sections for the chief spheres of government) and of the other organs of state.

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  • - In recent times the positive bent of modern knowledge and methods in other spheres of science and thought, and especially in biology, has influenced medicine profoundly.

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  • As regards pulmonary disease, pneumonia has passed more and more definitely into the category of the infections: the modes of invasion of the lungs and pleura by tuberculosis has been more and more accurately followed; and the treatment of these diseases, in the spheres both of prevention and of cure, has undergone a radical change.

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