This displacement is in no way finished; in fact, it has hardly begun.
We have already called attention to the gradual displacement of the gild merchant by the craft organizations.
If P represent the average value of the component of a force in the direction of the displacement, s, of its point of application, the product Ps measures the work done during the displacement.
Then the displacement at 0 will take place in a direction perpendicular to 0 1 0, and lying in the plane Z0 1 0; and, if 1' be the displacement at 0, reckoned positive in the direction nearest to that in which the incident vibrations are reckoned positive, = 4?y (1 +cos 0) sin 4 f' (bt - r).
Mechanical ventilation may be effected either by direct exhaustion or centrifugal displacement of the air to be removed.
If the change of temperature progressed uniformly from one side to the other, the result would be a lateral displacement of the image without loss of definition; but in general both effects would be observable.
Mag., 1885, 20, P. 354) that a displacement 8f from the true focus i will not sensibly impair definition, provided Sf
The first of these is the requirement that each line should have a complete sense in itself; this produces a certain jerkiness, and often led among the Arabs to displacement in the order of the lines in a long poem.
Suppose the ship turns about an axis through F in the water-line area, perpendicular to the plane of the paper; denoting by y the distance of an element dA if the water-line area from the axis of rotation, the change of displacement is EydA tan 8, so that there is no change of displacement if EydA = o, that is, if the axis passes through the C.G.
Of navigable waters in the state), and, by falls and rapids caused by glacial displacement of rivers, furnishing a magnificent volume of water-power.
Poncelet, from which the work done during a given displacement could be read off directly.
Taking all into account, the available strength of the fleet might be put at 7 armour-clad ships, of which the " Messudiyeh " was one, the six others varying in displacement from 2400 to 6400 tons; two cruisers (unarmoured) of 3800 tons displacement; some 18 gunboats; 12 destroyers, 16 first-class torpedo boats and 6 second-class torpedo boats.
But as the orbits are not centred on the sun, which is in a focus of each, the displacement of the seeming circle would be readily seen in the case of Mercury and of Mars.
The instrument can be provided with a curve or table showing the current corresponding to each angular displacement of the torsion head.
The "Monitor's" displacement was about 1 200 tons and her armament was two II in.
For experiments with long thin rods or wires it has an advantage over the other arrangements in that the position of the poles need not be known with great accuracy, a small upward or downward displacement having little effect upon the magnetometer deflection.
When the force acts on a body free to turn about a fixed axis only, it is convenient to express the work done by the transformed product TO, where T is the average turning moment or torque acting to produce the displacement 0 radians.
The angular displacement, 0, of the disk is made proportional to the displacement, s, of the point of application of the force by suitable driving gear.
If do is the angular displacement of the roller corresponding to displacements, dO of the disk, and ds of the point of application of P, a, and C constants, then d4) = x _ ¢Pds = C.Pds, and therefore 4) = C f 82 Pds; that is, the angular displacement of the roller measures the work done during the displacement from s 1 to s 2 .
Let a line be drawn perpendicular to AD and proportional to the displacement of the particle which was at the point before the disturbance began.
The naval programme of the republic for 1905 provided for the prompt construction of 3 battleships of the largest displacement, 3 armoured cruisers, 6 destroyers, 12 torpedo boats and 3 submarine boats; and by 1909 the reorganization of the navy was far advanced.
On the same principle we may estimate the least visible displacement of the eye-piece of a telescope focused upon a distant object, a question of interest in connexion with range-finders.
But a very slight relative displacement will cause the apparition of the odd spectra.
The method originally used by Huggins, who first conceived and proved the possibility of measuring stellar velocities in the line of sight, was to measure with a filar micrometer the displacement of some well-known line in a stellar spectrum relative to the corresponding line of a terrestrial spectrum.
Among the steamers the increase has chiefly taken plac in vessels of more than 1000 tons displacement, but the number of large sailing vessels has also increased.
This however, may be due to irregularity of division and displacement of the cells by irregular tensions destroying the obvious layerec arrangement.
Many experiments point to certain small grains of starch which are capable of displacement as the position of the cell is altered.
The combination, as it is ordinarily termed, of chlorine with hydrogen, and the displacement of iodine in potassium iodide by the action of chlorine, may be cited as examples; if these reactions are represented, as such reactions very commonly are, by equations which merely express the relative weights of the bodies which enter into reaction, and of the products, thus Cl = HC1 Hydrogen.
The indirect method is based upon the observed constant of aberration or the displacement of the stars due to the earth's motion.
The minuteness of this displacement, about 20.50", makes its precise determination an extremely difficult matter.
The intensity of light is, however, more usually expressed in terms of the actual displacement in the plane of the wave.
This wasting may be general or local - continuously from the embryonic period there is this natural process of displacement and decay of tissues going on in the growing organism.
" Achilles " of 9000 tons displacement it was found that moving 20 tons across the deck, a distance of 42 ft., caused the bob of a pendulum 20 ft.
Suppose that the dielectric has a constant K, then we must multiply both sides by K and the expression for the energy per unit of volume of the field is equivalent to z DE where D is the displacement or polarization in the dielectric.
The two are carried on a common frame, so arranged that a change in form of the spring causes a relative displacement of the disk and roller, the point of contact moving radially from or towards the centre of the disk.
The relative angular displacement is proportional to the radius of the circle described by the end of a light lever operated by mechanism between the spring-connected parts.
Q is supplied by a spring, the extensions of which are recorded on a drum driven proportionally to the angular displacement of the driving pulley; thus a work diagram is obtained.
One of the scarps or steps is the result of a great fault or displacement of the earth's crust, and is known as the Balcones fault scarp; others are due to erosion and weatherin g of alternate layers of hard and soft rocks lying almost horizontal.
We can represent waves of longitudinal displacement by a curve, and this enables us to draw very important conclusions in a very simple way.
The bearing of this displacement upon the literary and historical criticism of the narratives has never been worked out.
From 1350 onwards the Crusade assumes a new aspect; it becomes defensive, and it is directed against the Ottoman Turks, a tribe of Turcomans who had established themselves in the sultanate of Iconium at the end of the 13th century, during the confusion and displacement of peoples which attended the Mongol invasions.
The limiting efficiency of the microscope is attained when the angular aperture amounts to 180°; and it is evident that a lateral displacement of the point under observation through -IX entails (at the old image) a phase-discrepancy B Q' of a whole period, one extreme ray FIG.
This displacement, which we may denote by; is in the plane containing z and r, and perpendicular to the latter.
Thus if d,/ is the increase of 4, due to a displacement from P to P', and k is the component of velocity normal to PP', the flow across PP' is d4 = k.PP'; and taking PP' parallel to Ox, d,, = vdx; and similarly d/ ' = -udy with PP' parallel to Oy; and generally d4,/ds is the velocity across ds, in a direction turned through a right angle forward, against the clock.
Clerk Maxwell demonstrated, however, that all electric charge or electrification of conductors consists simply in the establishment of a physical state in the surrounding insulator or dielectric, which state is variously called electric strain, electric displacement or electric polarization.
They provided a splendid, rigidly mounted, equatorial stand, fitted with every luxury in the way of slow motion, and scales for measuring the displacement of the segments were read by powerful micrometers from the eye-end.
Various groups of people formed and dissolved, the coming formation and dissolution of kingdoms and displacement of peoples was in course of preparation.
This transference of the authority of the latter to a number of distinct bodies and the consequent disintegration of the old organization was a gradual spontaneous movement, - a process of slow displacement, or natural growth and decay, due to the play of economic forces, - which, generally speaking, may be assigned to the 14th and 15th centuries, the very period in which the craft gilds attained the zenith of their power.
In addition to these modifications, which are common to nearly all orchids, there are others generally but not so universally met with; among them is the displacement of the flower arising from the twisting of the inferior ovary, in consequence of which the flower is so completely turned round that the "lip," which originates in that part of the flower, conventionally called the posterior or superior part, or that S c ?
The small magnet may be a sphere rigidly magnetized in the direction of Ho; if this is replaced by an isotropic sphere inductively magnetized by the field, then, for a displacement so small that the magnetization of the sphere may be regarded as unchanged, we shall have dW = - vIdHo = v I+-, whence W = - 2 I + H2 ° (37) The mechanical force acting on the sphere in the direction of displacement x is 1 Hopkinson specified the retentiveness by the numerical value of the " residual induction " (=47rI).
Across the deck of a ship of W tons displacement; the C.G.
Motion symmetrical about an Axis.-When the motion of a liquid is the same for any plane passing through Ox, and lies in the plane, a function ' can be found analogous to that employed in plane motion, such that the flux across the surface generated by the revolution of any curve AP from A to P is the same, and represented by 2s-4 -11'o); and, as before, if d is the increase in due to a displacement of P to P', then k the component of velocity normal to the surface swept out by PP' is such that 274=2.7ryk.PP'; and taking PP' parallel to Oy and Ox, u= -d/ydy, v=dl,t'/ydx, (I) and 1P is called after the inventor, " Stokes's stream or current function," as it is constant along a stream line (Trans.
But in spite of the relative economic displacement they all cause, free trade, outsourcing, and technological displacement all have a positive net effect on the economics of the planet.
Since the current passing through the balance when equilibrium is obtained with a given weight is proportional to the square root of the couple due to this weight, it follows that the current strength when equilibrium is obtained is proportional to the product of the square root of the weight used and the square root of the displacement distance of this weight from its zero position.
The fifth method consists in observing the displacement in the direction of the sun, or of one of the nearer planets, due to the motion of the earth round the common centre of gravity of the earth and moon.
Armstrong, Whitworth & Co., and the battleship " Messudiyeh " (9100 tons displacement) reconstructed by the firm of Ansaldo (Genoa) in 1902, and re-armed by Vickers, Sons & Maxim, formed the only really effective war-ships at the disposal of Turkey in 1910, although a few armoured ships in addition might still serve for coast defence at a pinch, and a few more for training ships.
A master could not enter into a contract with his slave, nor could he accuse him of theft before the law; for, if the slave took anything, this was not a subtraction, but only a displacement, of property.