was suggested by 0111vier; the paragraph asserting that France would not allow a foreign power to disturb to her own detriment the actual equilibrium of Europe was inserted by the emperor. From 1876, when equilibrium between expenditure and revenue had first been attained, taxation yielded steady annual surpluses, which in 1881 reached the satisfactory level of 2,120,000. From this equation the osmotic pressure Po required to keep a solution in equilibrium as regards its vapour and through a semi-permeable membrane with its solvent, when that solvent is under its own vapour pressure, may be calculated from the results of observations on vapour pressure of solvent and solution at ordinary low hydrostatic pressures. In 1744 Alembert applied this principle to the theory of the equilibrium and the motion of fluids (Trcite de l'equilibre et du mouvement des fluides), and all the problems before solved by geometricians became in some measure its corollaries. This may be interpreted as the equation of the border curve giving the relation between p and 0, but is more easily obtained by considering the equilibrium at constant pressure instead of constant volume. equilibrium example sentences. Analytical Equations of Equilibrium of a Fluid at rest under any System of Force. We may note that a frame of n joints which is just rigid must have 3116 bars; and that the stresses produced in such a frame by a given system of extraneous forces in equilibrium are statically determinate, subject to the exception of critical forms. Afterwards, owing to the increased attention given to stock-fattening and dairying, and to a rise in prices, farming reached a condition of equilibrium, and the most noticeable residuum of the period of depression was the large intrusion of the butcher and grazier class into the farmer class proper. A good example is the too° equilibrium of ferric chloride arid water, studied by B. With this arrangement the lift - ram and the two balance pistons are always in equilibrium, or, in other words, the ever-changing displacement of the lift-ram is automatically in balance. The complete figures obtained by drawing first the force-diagrams of a system of forces in equilibrium with two distinct poles 0, 0, and secondly the corresponding funiculars, have various interesting relations. Gregory initiated the policy of establish ing an equilibrium between the parties, which was carried ou by his successor Nicholas III. When there is no magnetization, c c the yoke is in equilibrium; but as soon as the current °'°Â° is turned on the block C is drawn downwards as far as the screw R will allow, for, though the attractive forces F between B and C and between B' and C' are equal, the former has a greater moment. 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. It was shown by Homer Lane that a mass of gas held in equilibrium by the mutual gravitation of its parts actually grows hotter through radiating heat; the heat gained by the resulting contraction more than counterbalances that lost by radiation. The majority of thermodynamical problems may be treated without any reference to entropy, but it affords a convenient method of expression in abstract thermodynamics, especially in the consideration of irreversible processes and in reference to the conditions of equilibrium of heterogeneous systems. Suppose for instance that two molecules, when at rest in equilibrium, are at a distance a apart. By mitigating the hardships of the corve, and improving the irrigation system, on which the prosperity of the country mainly depends, he had conferred enormous benefits on the fellahin, and had laid the foundation of permanent budgetary equilibrium for the future. , When you are healthy, all of your body systems are working together in perfect equilibrium. In representing on a diagram the phenomena of equilibrium in a two-component system we require a third axis along which p to plot the composition of a variable phase. She squinted through her fingers and braced herself against one wall to counter the effects the drugs had on her equilibrium as she moved down the long hallway. It is certain then that when dissolution occurs the available energy of the whole system is decreased by the process, while when equilibrium is reached and the solution is saturated the available energy is a minimum. , $MMT = window.$MMT || {}; $MMT.cmd = $MMT.cmd || [];$MMT.cmd.push(function(){ $MMT.display.slots.push(["45ba4f61-76ac-4b3d-94d4-c9019d2ebe3c"]); }), $MMT = window.$MMT || {}; $MMT.cmd = $MMT.cmd || [];$MMT.cmd.push(function(){ $MMT.display.slots.push(["418b1e7b-a189-47b4-952a-43e52a926ad5"]); }), $MMT = window.$MMT || {}; $MMT.cmd = $MMT.cmd || [];$MMT.cmd.push(function(){ $MMT.display.slots.push(["9b588b9a-598a-47f4-bc83-ba2fd303e5df"]); }). One main object is the preservation of equilibrium in the growth of the several parts of the tree; and for this various minor details deserve attention. The same idea is expressed also by the terms app€i/iia (equilibrium) and a4a61a (refusal to speak, non-committal silence). ° cyanuric acid; the cyanic acid corresponds to sulphur vapour, being in equilibrium with either cyamelide or cyanuric acid at a maximum pressure, definite for each temperature. Hence we must not assume that the density of the vapour in the surrounding atmosphere is constant, or that the solution, when equilibrium is reached, is of uniform concentration throughout. Peace is considered not so much a state of equilibrium and friendly relations between parties, but rather as the rule of a third within a certain region - a house, an estate, a kingdom. The solution then freezes, until the heat liberated is enough to raise the tern perature to the point of equilibrium given by the tendency of the solution taken in contact with ice to approach the true freezing point on one side and the temperature of the enclosure on the other. When a stage is reached such that the number of molecules lost to the liquid by evaporation is exactly equal to that regained by condensation, we have a liquid in equilibrium with its own vapour. But the molecules affected by a spark discharge are not in any sense in equilibrium as regards their partition of energy and the word temperature " cannot therefore be applied to them in the ordinary sense. But before an equal space of time had further elapsed, it had itself become a pest; the most recent information, however, is to the effect that its numbers are now on the decline, and that the disturbed faunal equilibrium is being readjusted. As gravity and the fluid pressure on the sides of the prism act at right angles to AB, the equilibrium requires the equality of thrust on the ends A and B; and as the areas are equal, the pressure must be equal at A and B; and so the pressure is the same at all points in the same horizontal plane. If there are no redundant members in the frame there will be only two members abutting at the point of support, for these two members will be sufficient to balance the reaction, whatever its direction may be; we can therefore draw two triangles, each having as one side the reaction YX, and having the two other sides parallel to these two members; each of these triangles will represent a polygon of forces in equilibrium at the point of support. , One more bit of bad news and Jan is certain to lose the emotional equilibrium she has. When a current is passed through the instrument it causes one end of the movable system to tilt downwards, and the other end upwards; the sliding weight is then moved along the tray by means of a silk cord until equilibrium is again established. amplitude oscillations around equilibrium. 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