Balance Sentence Examples

The balance of the weekend went well after a slow start.

The balance will be maintained.

The current balance owed was over four hundred dollars.

It was like walking in water and I almost lost my balance but after a few steps, I could control my motion pretty well.

He couldn't catch his balance and steadied himself against a rock.

She caught her balance against the arm of a sofa.

She tried to balance herself only to find herself toppling over and over and over down a stairwell.

You… you're meant to maintain a vital balance in this world.

The maid lost her balance and toppled over.

The Deans jumped at every ring of the phone for the balance of the afternoon, but there was no further word.

Thanks to my wife's calm and nurturing manner the balance of the morning passed peacefully.

The balance of our afternoon and evening was spent in domestic bliss.

With lightning speed, he caught the end of the whip in his hand and jerked violently, catching her off balance and pulling her off her feet.

We spent the balance of our time formulating what I should say to Merrill Cooms and pouring over Internet maps.

She leapt up, knocking the prisoner off balance in her haste to escape.

I know the list of nefarious uses of the Internet—but on balance, we are building it for good purposes.

Kutuzov did not understand what Europe, the balance of power, or Napoleon meant.

It sort of wreaks havoc on the balance.

She would balance him out.

She caught him, and they careened into the side of the car before he caught his balance.

He dropped to his knees, unable to battle both influences for his balance.

A'Ran met her blows gently, redirecting them without affecting her balance.

She bounced between them, unable to catch her balance.

Depending on the fact that the electrical conductivity of a metallic conductor is decreased by heat, it consists of two strips of platinum, arranged to form the two arms of a Wheatstone bridge; one strip being exposed to a source of radiation from which the other is shielded, the heat causes a change in the resistance of one arm, the balance of the bridge is destroyed, and a deflection is marked on the galvanometer.

The body to be tested is placed in a special scale-pan, suspended by a fine wire from the arm of a balance inside an enclosure which can be filled with steam at atmospheric pressure.

The religion of the country is so overwhelmingly Mahommedan that out of every 100,000 inhabitants 94,403 are Mussulman, and only 4706 Hindus, while the balance is made up by Christians, Sikhs and other denominations.

These investigators began their work in 1900, and at an early stage introduced two characteristic features - a horizontal rudder in front for steering in the vertical plane, and the flexing or bending of the ends of the main supporting aeroplanes as a means of maintaining the structure in proper balance.

In the splendid balance of his nature the Virgilian longing, rerum cognoscere causas, could never indeed wholly silence the call to exercise his active powers.

I called the New World into existence to redress the balance of the Old" (December 12, 1826).

A certain balance had to be struck in most cases between the greed and selfishness of the class of landowners and the necessary requirements and human aspirations of the subjects.

Rapidly falling temperature must (and visibly does) produce furious motions which wholly outrun mere restoration of statical balance.

Hence loss does not go on without regeneration, and we are apparently at a stage when there is an approximate balance between them.

In consequence of the radiation of heat the whole body will be more condensed than before, but whether it is hotter or colder than before will depend on whether the contraction set up is more or less than enough to restore an exact balance.

It wasn't as if she were wearing a bikini, and her only physical attributes were a flat abdomen and smooth curves – well, those and her breasts, but they were over proportioned - out of balance, so to speak.

He was trying to maintain a balance between taking care of business and her happiness.

The Grey God existed for a very short time, and he was supposed to balance out the two worlds.

That she'd had a god off balance for so long—and it took losing her magic for him to finally score—was an accomplishment.

She rose and stumbled forward again, cursed as she ran into a larger boulder, then lost her balance and rolled down a sudden dip.

Finally he retrieved his balance and got his foot over the back of the horse and down the other side into the stirrup.

Trying to balance her time between the children, Alex and her guests proved more difficult than she imagined.

Something brown lunged from the brush near her face and she screamed, throwing herself back so hard she lost her balance and fell.

At the bottom she staggered to retain her balance.

He knew Jule was able to balance his alliance with the White God and his alliance with Xander.

Jonny hadn't had the ability to lead or commit evil or balance Damian, when Xander and Jenn entered the picture.

The anatomical construction of these plants presents many peculiarities which have given rise to discussion as to the allocation of the order among the dicotyledons or among the monocotyledons, the general balance of opinion being in favour of the former view.

The chief success of the government lay in the field of foreign politics, where it prudently avoided entanglement in the ambitious schemes of Hellenistic monarchs, but gained great prestige by energetic interference against aggressors who threatened the existing balance of power or the security of the seas.

During the twenty years preceding the census of 1901 there was a fall in the death rate of 3.4 per thousand, of which, however, 1 per thousand is attributable to the decline in the birth rate, the balance being attributable to improved sanitary conditions.

The Common wealth is empowered to retain one-fourth of the net revenue from customs and excise, the balance must be handed back to the states.

Such would be an admission by one who is in account with another that there is a balance due from him.

Owing to the difficulty of maintaining perfect balance on duplexed cables, curb sending is not now used, but the signals are transmitted by means of an apparatus similar to the Wheatstone automatic transmitter used on land lines and differing from the latter only in regard to the alphabet employed; the signals from the transmitter actuate a relay having heavy armatures which in turn transmit the signals to the cable; this arrangement gives very firm signals, a point of great importance for good working.

As with other duplex systems it is possible to obtain several approximately correct adjustments with the bridge and its accessories, but only one gives a true balance, and careful experiment is required to make sure that this is obtained.

The years' working of the whole telephone system of the Post Office showed a balance of £451,787 after payment of the working expenses, while the estimated amount required to provide for depreciation of plant and interest at 3 per cent.

The exportation in I902 only reached about 45 million gallons (and even that is double the average), while an equally abundant vintage in France and Spain rendered the exportation of the balance of 1907 impossible, and fiscal regulations rendered the distillation of the superfluous amount difficult.

The balance of Italian trade has undergone frequent fluctuations.

Thus the limitation of the Milanese duchy under Filippo Maria Visconti, and its consolidation under Francesco Sforza, were equally effectual in preparing the balance of power to which Italian politics now tended.

This balance could not have been established without the concurrent aid of Florence.

Instead of opposing Francesco Sforza in Milan, he lent him his prestige and influence, foreseeing that the dynastic future of his own family and the pacification of Italy might be secured by a balance of power in which Florence should rank on equal terms with Milan and Naples.

In June 1805 there came a last and intolerable affront to the emperors of Austria and Russia, who at that very time were seeking to put bounds to Napoleons ambition and to redress the balance of power.

Replying on the 9th of April 1878 to interpellations by Visconti-Venosta and other deputies on the impending Congress of Berlin, he appeared free from apprehension lest I Italy, isolated, might find herself face to face with a change of the balance of power in the Mediterranean, and declared that in the event of serious complications Italy would be too much sought after rather than too niuch forgotten.

These words were taken to mean that Italy would receive compensation to restore the balance of power upset in Austrias favor.

Brooks regards these organs as sensory, serving for the sense of balance, and representing a primitive stage of the tentaculocysts of Trachylinae; Linko, on the other hand, finding no nerve-elements connected with them, regards them as digestive (?) in function.

The balance of these tendencies has been against the attachment of great importance to sexual selection, and in favour of attaching a great importance to natural selection; but the dominant feature in the recent history of the theory has been its universal acceptance and the recognition that this general acceptance has come from the stimulus given by Darwin.

Its opening, the vent, is situated either on the middle line at the base of the tail, or on the right side, as if to balance the sinistral position of the spiraculum.

What form it would ultimately take depended still on the balance between the forces of conservatism and change, the suspicious temper of the autocracy being revealed, during the years of unstable equilibrium, by the alternate concession and withdrawal of privileges, e.g.

He determined, therefore, to oppose any further disturbance of the balance of power in favour of Germany, and when the treaty of Skierniewice expired in 1887 he declined to renew it.

In Argentina about 15% of the railways are owned and operated by the government, the balance being in the hands of private companies, largely controlled in England.

The revolving masses are truly balanced by balance weights placed between ' the spokes of the wheels, or sometimes by prolonging the crank-webs and forming the prolongation into balance weights.

It is also the custom to balance a proportion of the reciprocating masses by balance weights placed between the spokes of the wheels, and the actual balance weight seen in a driving-wheel is the resultant of the separate weights required for the balancing of the revolving parts and the reciprocating parts.

It is not possible to do anything better with two-cylinder locomotives unless bobweights be added, but with four-cylinder four-crank engines complete balance is possible both in the vertical and in the horizontal directions.

As results of Roberval's labours outside the department of pure mathematics may be noted a work on the system of the universe, in which he supports the Copernican system and attributes a mutual attraction to all particles of matter; and also the invention of a special kind of balance which goes by his name.

He soon learned to call to his aid the subsidiary sciences of geography and chronology, and before he was quite capable of reading them had already attempted to weigh in his childish balance the competing systems of Scaliger and Petavius, of Marsham and Newton.

His sermons were not remarkable for eloquence, but a certain solidity and balance of judgment, an absence of partisanship, a sobriety of expression combined with clearness and force of diction, attracted hearers and inspired them with confidence.

The Jewish refugees had turned the balance, and so Judas became strategus of Judaea, whilst Menelaus was put to death.

This failure seems to have convinced Bacchides that it would be well to recognize Jonathan and to secure a balance of parties.

In 1880 the state assumed liability for the full amount plus interest, and this balance, $544,061.23, now constitutes an endowment fund, upon' which the state pays 6% interest.

Hitherto pacific counsels had on the whole prevailed; but Wolsey, who was nothing if not turbulent, turned the balance in favour of war, and his marvellous administrative energy first found full scope in the preparations for the English expedition to Biscay in 1512, and for the campaign in northern France in 1513.

This assurance was interpreted as not binding by the judge, and his fate hung in the balance.

He was one of the king's secret managers during the troublesome and dangerous riksdag of 1789, but advised caution and compared the estate of clergy, which at one time held the balance between the jarring orders, to ice which might be walked upon but could not be driven over.

In matters of religion she at first tried to hold the balance between the Catholic and Protestant factions and allowed the Presbyterian preachers the practice of their religion so long as they refrained from public preachings in Edinburgh and Leith.

But Napoleon's actions, especially the annexation of Genoa, at last brought the three powers to accord, with the general aim of re-establishing the status quo ante in Germany, Holland, Switzerland and Italy, or, in short, of restoring the balance of power which Napoleon had completely upset.

The manufacture, modelling and painting of faience objects, and the making of inlays in many materials were also familiar to Aegean craftsmen, who show in all their best work a strong sense of natural form and an appreciation of ideal balance and decorative effect, such as are seen in the best products of later Hellenic art.

The chief sources of the general revenue fund are taxes on real and personal property, on liquors and cigarettes, on corporations and on inheritances; in 1909 the net receipts for this fund were $8,043,257, the disbursements $9,103,301, and the cash balance at the end of the fiscal year $3,428,705.

He also shows how his method may be used to determine some curious and long-discussed problems, such as the light of the stars, the ebb and flow of the tide, the motion of the balance.

These had an infinitely wider renown in their day, but modern criticism has restored the balance in his favour, and is even in danger of erring in the opposite direction.

This mode of suspension enables the conductor CC to vibrate freely like a balance, but at the same time very large currents can easily be passed through this perfectly flexible joint.

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.

Thus the centi-ampere balance ranges from i to ioo centi-amperes, the deci-ampere balance from i to ioo deci-amperes, the ampere balance from i to ioo amperes, the deka-ampere balance from i to ioo amperes, the hecto-ampere balance from 6 to 600 amperes, and the kilo-ampere balance from ioo to 2500 amperes.

An instrument of the latter type of considerable accuracy was designed by Lord Kelvin for the British Board of Trade Electrical Laboratory, and it is there used as the principal standard ampere balance.

A fixed weight is placed on one coil and the current is varied gradually until the balance is just in equilibrium.

The goddess Irnina (a form of Ishtar, q.v.) in revenge kills Eabani, and the balance of the epic is taken up with Gilgamesh's lament for his friend, his wanderings in quest of a remote ancestor, Ut-Napishtim, from whom he hopes to learn how he may escape the fate of Eabani, and his finally learning from his friend of the sad fate in store for all mortals except the favourites of the god, like Ut-Napishtim, to whom immortal life is vouchsafed as a special boon.

In the wars of the period Athens took a prominent part with a view to upholding the balance of power, joining the Corinthian League in 395, and assisting Thebes against Sparta after 378, Sparta against Thebes after 369.

When he had to choose between the welfare of the Society and the feelings of an individual it was clear to which side the balance would fall.

His idea was to combine the more conservative elements of both sections in favour of a settlement which would concede the Southern view on two questions, the Northern view on two, and balance the fifth.

First and foremost, he demanded that the balance must be used in all investigations into chemical changes.

By his insistence upon the use of the balance as a quantitative check upon the masses involved in all chemical reactions, Lavoisier was enabled to establish by his own investigations and the results achieved by others the principle now known as the " conservation of mass."

Lastly, in the production of gaseous hydriodic acid from hydrogen and solid iodine H2 - 1 - 12=HI+HI, so much energy is expended in the decomposition of the hydrogen and iodine molecules and in the conversion of the iodine into the gaseous condition, that the heat which it may be supposed is developed by the combination of the hydrogen and iodine atoms is insufficient to balance the expenditure, and the final result is therefore negative; hence it is necessary in forming hydriodic acid from its elements to apply heat continuously.

This is of constant occurrence in classical pianoforte music, in which thick chords are subjected to polyphonic laws only in their top and bottom notes, while the inner notes make a solid mass of sound in which numerous consecutive fifths and octaves are not only harmless but essential to the balance of tone.

The balance of evidence seems to lie on the side of the genuineness of the Epistle.

He was a type of the French revolutionists, excitable, warm-hearted, half-educated, who lost their mental and moral balance in the chaos of the revolutionary period.

If he has a balance of good works in his favour, he passes forthwith into paradise (Garo demana) and the blessed life.

At this period the Servian empire had reached its zenith; Hungary, governed by the feeble monarch, Charles Robert of Anjou, was striving to crush the insurgent magnates of Croatia; Venice, whose commercial interests were imperilled, desired to restore peace and maintain the balance of power.

Fresh negotiations were also undertaken to increase the importduties by a further 4% in order to balance the deficit shown in the budget.

At such moments of crisis it almost excelled human comprehension; the mind seems to have gathered to itself and summed up the balance of all human passions arranged for and against him, and to have calculated with unerring exactitude the consequences of each decision.

The charter of that year placed the balance of power in a council composed of three members chosen from each ward and as many aldermen as there were wards, elected on a general ticket.

While determining its atomic weight, he thought it desirable, for the sake of accuracy, to weigh it in a vacuum, and even in these circumstances he found that the balance behaved in an anomalous manner, the metal appearing to be heavier when cold than when hot.

Further, it is increasingly felt that ethical judgments do not depend on reason alone, but involve every element in our character; and that the real problem of practical morality is to establish a harmonious balance between the intelligence and the feelings - to make a man's "I think this is right" correspond with his "I feel that it is so."

Whether systematic training can do anything to make the attainment of this balance easier is a question that has lately engaged the attention of many educational reformers; and whatever future casuistry may still have before it would seem to lie along the lines indicated by them.

In the magnetic balance of du Bois (Magnetic Circuit, p. 346) the uncertainty arising from the presence of a joint is avoided, the force measured being that exerted between two pieces of iron separated from each other by a narrow air-gap of known width.

Y Y' is a so.- iron yoke, which rocks upon knife-edges K and constitutes the beam of the balance.

But a balance may still be obtained by altering the effective number of turns in the test coil, and thus increasing or decreasing the magnetizing force acting on the test rod, till the induction in the two rods is the same, a condition which is fulfilled when reversal of the current has no effect on the compass needle.

The balance of various considerations is against the latter hypothesis.

But it contained also a bold indictment of the whole system of foreign policy then in vogue, founded on ideas as to the balance of power and the necessity of large armaments for the protection of commerce.

During the last six years (1534-1540) of John's reign, his kingdom, beneath the guidance of the Paulician monk, Frater Gyorgy, or George Martinuzzi, the last great statesman of old Hungary, enjoyed a stability and prosperity marvellous in the difficult circumstances of the period, Martinuzzi holding the balance exactly between the emperor and the Porte with 3 I was kept secret for some years for fear of Turkish intervention.

The lines of the treaty of Westphalia, six years later, were already laid down by Richelieu; and its epochal importance in European history is a measure of the genius who threw the balance of power from Habsburg to Bourbon.

From this is deducted the average annual cost of repairs, insurance and renewals, the balance constituting the rateable value.

The balance handed over to the Union government was £1,015,000.

Desultory fighting continued till the close of the year, the balance of success being with the British, though on the 30th of October Botha, returning from the south-east towards Pretoria, defeated Colonel Benson's column at Bakenlaagte, Benson being killed.

According to the hypothesis of Waldeyer and Thiersch there is perfect equilibrium between the normal epithelium and its supporting structure, the connective tissue, but with advancing age this balance is upset owing to the connective tissue gradually losing its restraining power.

He holds that new growths arise, both before birth or at any subsequent period of life, by the separation of cells or clumps of cells from their normal position, and that in health there is a balance between the various tissues and tissue elements regulated by what he calls the " tissue-tension " of the part, i.e.

The second great quality is the singular artistic skill and balance with which the Hippocratic physician used such materials and tools as he possessed.

The influence of Arabian medicine soon began to be felt even in the Hippocratic city of Salerno, and in the r3th century is said to have held an even balance with the older medicine.

Discovery in these various directions then led physicians to regard fever and inflammation not as separable entities, but as fluctuating symptomgroups, due to swervings of function from the normal balance under contingent forces.

The balance of opinion has, however, always inclined to the hypothesis of an anagram on the name "Arouet le jeune," or "Arouet 1.

There was thus raised in the year1906-1907a sum of £ 1 5,393,95 6 (in1898-1899the amount was £10,401,441); of this £11,012,424 was for central rates, which was subdivided into £7,930,275 for county services and £3,082,149 for local services, leaving a balance of £4,381,532, strictly local rates.

The total local expenditure of London for the year1906-1907was £24,703,087 (in1898-1899it was only £14,768,757), the balance of £9,761,734 being made up by receipts-in-aid and imperial subventions.

If, for a twocompartment shaft, a pair of drums (or a single wide drum) be keyed to the engine shaft, with the ropes wound in opposite directions, the hoisting is " in balance," that is, the cages and cars counterbalance each other, so that the engine has to raise only the useful load of mineral, plus the rope.

The maximum load on the engine is thus greater and more power is required than for fixed drums. Steam consumption is economized, whenever possible, by throwing in the clutches of both drums and hoisting in balance.

The Burmese women have a keener business instinct than the men, and serve in some degree to redress the balance.

It is used to determine the density of a body experimentally; for if W is the weight of a body weighed in a balance in air (strictly in vacuo), and if W' is the weight required to balance when the body is suspended in water, then the upward thrust of the liquid (I) (2) "F r an Minim ' 'i n or weight of liquid displaced is W-W, so that the specific gravity (S.G.), defined as the ratio of the weight of a body to the weight of an equal volume of water, is W/(W-W').

The balance of opinion was in favour of those of the first group of writers, who avoided emendations of the figures and were content to follow the Kings' List and to ignore its apparent discrepancies with other chronological data; but it is now admitted that the general principle underlying the third group of theories was actually nearer the truth.

In 1785 appeared his Recherches theoriques et experimentales sur la force de torsion et sur l'elasticite des fils de metal, &c. This memoir contained a description of different forms of his torsion balance, an instrument used by him with great success for the experimental investigation of the distribution of electricity on surfaces and of the laws of electrical and magnetic action, of the mathematical theory of which he may also be regarded as the founder.

The view has been put forward that fermentation is due to the activity of bacteria, distinct types occurring in various tobaccos, but the balance of evidence is against it.

A third type is made on the "balance" principle, two plough beams with mould-boards being placed at right angles to one another, so that while the right-hand plough is at work the left-hand is elevated above the ground.

In the United Kingdom steam ploughing is generally carried on on the double-engine system (introduced by Messrs John Fowler about 1865), in which case two sets of ploughs are arranged on the one-way balance principle, so that while one set is at work the other is carried clear of the ground.

To balance the exports and imports specie was exported in the three years 1902-1904 amounting to £2,319,000; a large proportion of this was perhaps provided by cash brought into the country by pilgrims.

Immediately the current passed through the solenoid it caused the iron cylinder to rise, and, by means of its supporting rod, forced the end of the balance beam upwards, so depressing the other end that the negative carbon rod was forced downwards into contact with the metal in the crucible.

A counterpoise was placed on the solenoid end of the balance beam to act against the attraction of the solenoid, the position of the counterpoise determining the length of the arc in the crucible.

The various hypotheses, dogmas, proposals, as to the family, to capital, &c., are merely propositions measurable by considerations of utility and a balance of expediencies.

No effective unity can follow from it, because you can only find out the right and wrong of a given course by summing up the advantages and disadvantages, and striking a balance, and there is nothing in the Religion of Humanity to force two men to find the balance onthesame side.

Her artists and artisans alike aim at symmetry, not by an equal division of parts, as we do, but rather by a certain balance of corresponding parts, each different from the other, and not numerically even, with an effect of variety and freedom from formality.

For some reason never yet made clear, but perhaps in order to produce a modification of terms which threatened the balance of power, William attacked the French army at Mons four days after the signature of peace.

While he sometimes disregarded the wishes of others, no one was more ready to sacrifice his own feelings for the attainment of the master aim of his life, the restoration of the "Balance of Power," by the overthrow of the predominance of France.

In the scene of the weighing of the soul before Osiris, dating from the New-kingdom onwards, Anubis attends to the balance while Thoth registers the result.

He procured the election of his son Andrew as prince of Pskov, and a powerful minority of the citizens of the republic of Novgorod held the balance in his favour against the Muscovite influence, but his ascendancy in both these commercial centres was at the best precarious.

It was at this time that Cimon, who had striven to maintain a balance between Sparta, the chief military, and Athens, the chief naval power, was successfully attacked by Ephialtes and Pericles.

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

Then the history relapses into the business vein and tells of the debates which took place as to the best means of carrying out the vow after the count's decease, the rendezvous, too ill kept at Venice, the plausible suggestion of the Venetians that the balance due to them should be made up by a joint attack on their enemy, the king of Hungary.

Balance of Emigration and Immigration.-Even in the case of emigration from Europe to countries beyond the seas there is some return movement.

His great principle was that of Harmony or Balance, and he based it on the general ground of good taste or feeling as opposed to the method of reason.

We may note at once how these new figures disturb the historical balance.

The point is of no very great significance, however, since no one has pretended that the Western civilization compared with the Eastern in point of antiquity; and in any event, no amount of negative evidence weighs a grain in the balance against the positive evidence of the Cretan inscriptions.

The weight may be directly determined by the balance.

A loop of plati num wire passed under these tubes serves to suspend the vessel from the balance arm.

In practice the solid or plummet is suspended from the balance arm by a fibre - silk, platinum, &c. - and carefully weighed.

A small stool is then placed over the balance pan, and on this is placed a beaker of distilled water so that the solid is totally immersed.

Mr Addicks was an avowed candidate in 1895, but the opposition of the Regular Republicans, who accused him of corruption and who held the balance of power, prevented an election.

In this method a third drum is used to receive a heavy flat link chain, shorter than the main drawing-ropes, the end of which hangs down a special or balance pit.

At starting, when the full load is to be lifted, the balance chain uncoils, and continues to do so until the desired equilibrium between the working loads is attained, when it is coiled up again in the reverse direction, to be again given out on the return trip.

The balance of opinion seems to favour the latter alternative, because it leaves more room for Polycarp's visit to Anicetus, who only became bishop of Rome in 154.

When the wheel is turning in the direction indicated, the forces holding the band still are W, and p, the observed pull on the spring balance.

Both these forces usually act at the same radius R, the distance from the axis to the centre line of the rope, in which case the torque T is (W-p)R, and consequently the brake horse-power is (W - p)RX21rN, When µ 33,000 changes the weight W rises or falls against the action of the spring balance until a stable condition of running is obtained.

The ratio W/p increases very rapidly as 0 is increased,, and therefore, by making 0 sufficiently large, p may conveniently be made a small fraction of W, thereby rendering errors of observation of the spring balance negligible.

This vast extension of the area of independence in America could not but have its proportionate effect on the general balance of power among nations.

We have called a New World into existence to redress the balance of the Old."

Nero's scheme for the construction of a canal from Lake Avernus to Ostia would have restored the balance in its favour (though it certainly could not have been continuous all the way to Rome with the means of engineering then available).

The convention which drafted the Constitution of the United States attempted to secure a balance of interests by apportioning both representatives in Congress and direct taxes according to population.

By extending the rule to both objects the states will have opposite interests, which will control and balance each other, and produce a requisite impartiality."

This will be seen by taking the mid-ordinate as the ordinate for which x = o, and noticing that the odd powers of x introduce positive and negative terms which balance one another when the whole area is taken into account.

When they have been reduced to the correct thickness they are examined by the " tryer," who cuts out one or two blanks from each fillet with a hand machine and weighs them on a delicate balance.

The first automatic balance for weighing single coins was introduced at the Bank of England in 1843, and was designed by William Cotton, the deputy governor of the Bank.

The balance consists essentially of a beam with two scale pans, one for the coin and the other for the counterpoise.

It stops over one of three orifices in the bottom plate of the balance.

The balance turns to o oi grain.

A workman sitting at a balance files the edges of the piece and weighs it until it is within the remedy.

The blank is then again passed through the automatic balance and is sent forward to the coining press if the correctness of the weight is confirmed.

In the freer atmosphere of Holland the exiles lose the antithetical attitude, with its narrowing and exaggerative tendency, and gain breadth and balance in the assertion of their distinctive testimony.

In July of that year Samuel de Champlain discovered the lake which bears his name and on its shores led his Algonquian Indian allies against the Iroquois, thus provoking against his countrymen the hostility of a people who for years were to hold the balance of power between the English and the French in America.

Politically, the anti-rent associations which were formed often held the balance of power between the Whigs and the Democrats, and in this position they secured the election of Governor John Young (Whig) as well as of several members of the legislature favourable to their cause, and promoted the passage of the bill calling the constitutional convention of 1846.

Thanks to the tariff of the United States the balance of trade with North America is heavily against New Zealand.

Grey, much the best of the absolute governors, held the balance fairly between the white and brown races, and bought large tracts of land for colonization, including the whole South Island, where the Presbyterian settlement of Otago and the Anglican settlement of Canterbury were established by the persevering Wakefield.

Hence the attracting force does more work in the return journey than is done against it in the outgoing, and the balance is available to increase the vibration.

Of the members of the first legislative council five were supporters of the Oranjie Unie and five were regarded as Constitutionalists, the eleventh member holding the balance.

A substantial cash balance was left in the treasury for the use of the new government.

In some quarters the force of the new Japanese army was well understood, and the estimates of the balance of military power formed by the minister of war, Kuropatkin, coincided so remarkably with the facts that at the end of the summer of 1903 he saw that the moment had come when the preponderance was on the side of the Japanese.

In the squadron were seen the battleships damaged in the February attacks, and the balance of force was now against Togo, who had lost the " Yashima " and the " Hatsuse."

Had the two divisions still kept in Japan been present Kuroki would have had the balance of force on his side, the Russian retreat would have been confused, if not actually a rout, and the war would have been ended on Japan's own terms. As it was, after another day's fighting, Kuropatkin drew off the whole of his forces in safety, sharply repulsing an attempt at pursuit made by part of the 12th division on the 4th of September.

The outer ends of the shore cantilevers are loaded to balance half the weight of the central girder, the rolling load, and 200 tons in addition.

In these bridges each bascule is prolonged backwards beyond the hinge so as to balance at the hinge, the prolongation sinking into the piers when the bridge is opened.

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.

After a short period of German government, which was highly beneficial to the country, Galicia received after the Constitution of 1867 an exceptional position which was gradually consolidated; the German officials were removed, and the Polish members in the Reichsrat (who represented 71 votes) held the balance between the parties, which brought Galicia, without any effort, great financial advantages at the cost of the other Crown territories.

Voices were not lacking which, in view of Austria's relatively small share in foreign investments, ascribed the deterioration of the trade balance to the fact that the public bodies were " living beyond their means."

There is little doubt that for the last ten or fifteen years of his life, if, not from the time of his quarrel with Diderot and Madame d'Epinay, Rousseau was not wholly sane - the combined influence of late and unexpected literary fame and of constant solitude and discomfort acting upon his excitable temperament so as to overthrow the balance, never very stable, of his fine and acute but unrobust intellect.

At the close of the fiscal year ending on the 31st of October 1908, the receipts for the year amounted to $3,259,668, the expenditures to $3,47 6, 0 73 and the balance in the treasury to $582,905.

The struggle of rival systems of nomenclature, from which our zodiacal series resulted, is plainly visible in their alternations; and the claims of the competing signs were long sought to be conciliated by representing the Balance as held between the claws of the €corpion.

Reminiscences of the Greek signs of Gemini, Leo, Libra, Sagittarius, Capricornus and Pisces are obvious severally in the Hindu Two Faces, Lion's Tail, Beam of a Balance, Arrow, Gazelle's Head (figured as a marine nondescript) and Fish.

From the beginning to the end of his career he remained true to the purpose of his life, which was to fight the battle of sound learning and plain common sense against the powers of ignorance and superstition, and amid all the convulsions of that period he never once lost his mental balance."

The framers of the constitution were largely influenced by the American and French constitutions, and the American principle of the division and balance of the legislative, executive and judicial powers was followed.

The fate of Poland and Saxony hung in the balance; Germany awaited an entirely new reorganization; Italy was again ready for dismemberment; rumours went that even the pope and the sultan might be largely affected.

For some time affairs hung in the balance, but Alexander could not mistake the tone of his opponents.

His adventurous life, his forcible character, the position of his state as a barrier between the Indian and the Russian empires, and the skill with which he held the balance in dealing with them, combined to make him a prominent figure in contemporary Asiatic politics and will mark his reign as an epoch in the history of Afghanistan.

Under Louis Philippe (1830-1848), amid all varieties of administration there was a consistent desire to hold the balance fairly between all the conflicting subjects of study.

The balance of internal evidence - copyists being more likely to accentuate than to diminish the precision of a note of time - inclines, like the balance of external evidence, against the article.

On the balance of evidence the only year which can possibly reconcile all the data appears to be A.D.

In the verification of weights and measures a margin of error is permitted to manufacturers and scale-makers, as it is found to be impossible to make two weights, or two measures, so identical that between them some difference may not be found either by the balance or the microscope.

Similarly secular elevations of temperature, either accompanied by moisture or desiccation, by increasing droughts or by disturbance of the balance of nature, have been followed by great waves of extinction of the Mammalia.

In other words, a balance appears to be always sustained between the internal (hereditary and ontogenetic) and the external (environmental and selectional) factors of evolution.

About one-half the raw cotton consumed was produced in Mexico, and the balance imported in fibre or as yarn.

Of the former 46,500,000 pesos are credited to import duties, 31,930,000 pesos to stamps, excise taxes, &c., 10,930,000 pesos to direct taxes, and the balance to various sources.

Restrictions on speculative operations in real estate and on the use of hypothecated and discounted paper as security for other transactions, together with the publication of detailed monthly balance sheets, have kept these banks free from unsound methods, and their record thus far (1909) has been conspicuously good.

Since (following Protagoras) knowledge is solely of momentary sensations, it is useless to try, as Socrates recommended, to make calculations as to future pleasures, and to balance present enjoyment with disagreeable consequences.

For maintaining his seat the horseman should depend upon his thighs and knees only, and not upon the knee and calf; a proper seat should be a mixture of balance and grip; a man riding by balance only is sure to be thrown, while to grip with all one's might during an hour's ride, is to undertake as much exertion as should last for a whole day.

The balance of power between parties in parliament was held by the province of Quebec, and there racial and religious feeling evoked no slight sympathy for Riel.

On the other method the editor will provide all necessary information about the evidence for the text in the notes of his critical apparatus; but in the text itself he will give whatever in each case is supported by the balance of the probabilities.

Charles's balance areometer is similar to Nicholson's hydrometer, except that the lower basin admits of inversion, thus enabling the instrument to be employed for solids lighter than water, the inverted basin serving the same purpose as the pointed screw in Atkins's modification of the instrument.

For some years the emperor, with his sound common-sense and dislike of exaggeration, held the balance fairly between the two extremes; but long years of uninterrupted labour, anxiety and disappointment weakened his zeal for reform, and when radicalism assumed more and more the form of secret societies and revolutionary agitation, he felt constrained to adopt severe repressive measures.

The " balance of power," which has played in the history of modern Europe such an important part, is inherent in the notion of the independence and stability of states.

This concert of the great powers, as its name implies, in contradistinction to the " balance of power," was essentially a factor for the preservation of peace.

He wore a sharp shirt of hair next his skin, scourged himself every Friday and other fasting days, lay upon the bare ground with a log under his head, and allowed himself but four or five hours' sleep. This access of the ascetic malady lasted but a short time, and More recovered to all outward appearance his balance of mind.

For the moment the balance of his faculties seemed to be restored by a revival of the antagonistic sentiment of humanism which he had imbibed from the Oxford circle of friends, and specially from Erasmus.

In the exciting sport of surf-riding, which always astonishes strangers, they balance themselves lying, kneeling or standing on a small board which is carried landwards on the curling crest of a great roller.

It sometimes climbs trees, but generally remains on the ground, only using its comparatively short wings to balance itself in running or to break its fall when it drops from a tree - though not always then - being apparently incapable of real flight.

Thus by diplomacy as well as by force of arms Catholic France made possible the continued existence of a Protestant Germany, and helped to create the balance of power between Catholic, Lutheran and Reformed within the Empire, that, crystallized in the Peace of Westphalia, fixed the religious boundaries of central Europe for upwards of two centuries.

As compared with Zinzendorf's own writings, this book exhibits the finer balance and greater moderation of Spangenberg's nature, while those offensive descriptions of the relation of the sinner to Christ in which the Moravians at first indulged are almost absent from it.

This represents about two-thirds of the total variation of Galileo's acceleration between the equator and the poles, the balance being due to the ellipticity of the figure of the earth.

Some manufacturers devote themselves exclusively to the home trade, and some exclusively to foreign trade, but there is a large class with what may be called a margin of alternation, which serves to redress the balance as business in one or other of the sections is good or bad.

They merely show that, in the conditions of the particular experiments, the thermodynamic equilibrium value of the osmotic pressure cannot be reached - the thermodynamic or theoretical osmotic pressure (which must be independent of the nature of the membrane provided it is truly semi-permeable) is a different thing from the equilibrium pressure actually reached in a given experiment, which measures the balance of ingress and egress of solvent through an imperfect semi-permeable membrane.

When this pruning is just brought to a balance with the vigour of the roots, the consequence is that fruit buds are formed all over the tree, instead of a thicket of sterile and useless wood.

His idea for the ultimate solution of the question of the balance of power in Germany was the so-called Trias, i.e.

In foreign affairs Schrenk, like his predecessor, aimed at safeguarding the independence of Bavaria, and supported the idea of superseding the actual constitution of the Confederation by a supreme directory, in which Bavaria, as leader of the purely German states, would hold the balance between Prussia and Austria.

Subsequently Michael was involved in wars with the Genoese and Venetians, whose influence in Constantinople he sought to diminish by maintaining the balance of strength between them.

His economic essays were published in the volumes entitled Political Discourses (1752) and Essays and Treatises on Several Subjects (1753); the most important are those on Commerce, on Money, on Interest and on the Balance of Trade, but, notwithstanding the disconnected form of the essays in general, the other less important essays combine to make a complete economic system.

Nicholas Barbon and Sir Dudley North had already attacked the mercantile theory as to the precious metals and the balance of trade; Joseph Massie and Barbon had anticipated his theory of interest.

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.

To work the lift, pressure-water is admitted to the annular space C above the lower of the two balance pistons (the space B above the upper one is always in communication with the pressure-water), and the combined pressure on the two pistons is sufficient to lift the cage, ram and load.

As the ram ascends it apparently increases in weight, but this is balanced by the greater pressure on the two balance pistons as they descend, owing to the increase of the head of water acting on them.

To allow the lift-ram to descend, the pressure-water in C above the lower balance piston is discharged through the exhaust into the drain, while that above the upper piston is simply pushed back into the pressure main.

But the rivalry between Brazil and Argentina, and the necessity of maintaining the balance of power among the South American republics, enabled Paraguay to remain independent.

In a pulpit controversy with Thomas Cartwright, regarding the constitutions and customs of the Church of England, he showed himself Cartwright's inferior in oratorical effectiveness, but the balance was redressed by the exercise of arbitrary authority.

The short-sighted policy of the amir Abdur Rahman in discouraging imports doubtless affected the balance, nor did his affectation of ignoring the railway between New Chaman and Kila Abdulla (on the Peshin side of the Khojak) conduce to the improvement of trade.

The reason or intellect is introduced to balance possible pleasures and pains, and to construct a scheme in which pleasures are the materials of a happy life.

If the net profits do not reach 31/2%, the balance must be made good from the reserve.

On the whole, indeed, in spite of temporary successes, they decidedly lost ground, and on the conclusion of peace there was no doubt that the balance of power in the state inclined to the princes.

Of the 300 odd territorial sovereignties under the Holy Empire only 39 survived, and these were readjusted on the traditional principles of compensations, rectification of frontiers and balance of power.

Of the German sovereign states but four were unrepresentedAnhalt-Bernburg, Holstein, Lippe and Prussia; but the absence of Prussia was felt to be fatal; the minor princes existed by reason of the balance between the two great powers, and objected as strongly to the exclusion of the one as of the other from the Confederation; an invitation to King William was therefore signed by all present and carried by the king of Saxony in person to Berlin.

The shifting of the balance of power that followed belongs to the history of Europe; for Austria the only important outcome was that in 1731 Charles found himself isolated.

Each measure had, therefore, to be considered not only on its own merits, but in relation to the general balance of advantage, and an amendment in one might bring about the rejection of all.

Their central idea was pantheistic, that God is essentially in every creature, but though many of them were sincere and honest in their attempt to express the doctrine of the Divine immanence, they were in the main unable to hold the balance.

The short streak of light thus obtained moves with Mirror, .l 4,Stindd Boom Balance Weight, j/?/?j?jj/ Masonry Column Lamp Br.mide Paper_ On- Need,Le o 0 the movement of the boom over a second slit perpendicular to the first and made in the lid of a box containing clockwork driving a band of bromide paper.

The Caisse was authorized, after payment of the coupons on the debt, to make good out of their balance in hand the difference between the authorized expenditure and the non-assigned revenue.

The 9,000,000 was sufficient to pay the Alexandria indemnities, to wipe out the deficits of the preceding years, to give the Egyptian treasury a working balance of LE 500,000 and thereby avoid the creation of a fresh floating debt, and to provide a million for new irrigation works.

Moreover, it was provided that when the Caisse had received from the land tax the amount needed for the service of the debt, the balance of the tax was to be paid direct to the Egyptian treasury.

Moreover, the Caisse started under the new arrangement with a cash balance of 1,250,000.

The ordinary Egyptian is not self-reliant or energetic by nature, and, like most Eastern people, finds it difficult to be impartial where duty and family or other personal relations are in the balance.

The desert was full of wild life, the balance of nature being preserved by the carnivorous animals preying on the herbivorous; trees watered by soakage from the Nile protected the undergrowth and encouraged occasional rainfall.

In a shrine sits Osiris, the ruler and judge of the dead, accompanied by forty-two assessors; and before him stands the balance on which the heart of the deceased man is to be weighed against Truth; Thoth stands behind and registers the result.

Two years after, in order that the Arab element in Egypt might be strengthened, a colony of North Arabians (Qaisites) was sent for and planted near Bilbeis, reaching the number of 3000 persons; this immigration also restored the balance between the two branches of the Arab race, as the first immigrants had belonged almost exclusively to the South Arabian stock.

In such work the painters of Upper Germany at this time, working in the spirit of the late Gothic style just before the dawn of the Renaissance, show considerable technical attainments, with a love of quaint costumes and rich draperies crumpled in complicated angular folds, some feeling for romance in landscape backgrounds, none at all for clearness or balance in composition, and in the attitudes and expressions of their overcrowded figures a degree of grotesqueness and exaggeration amounting often to undesigned caricature.

The picture, painted for the elector Frederick of Saxony, is now in the Imperial Gallery at Vienna; the overcrowded canvas (into which Darer has again introduced his own portrait as a spectator alongside of the elector) is full of striking and animated detail, but fails to make any great impression on the whole, and does not do justice to the improved sense of breadth and balance in design, of clearness and dignity in composition, which the master had undoubtedly brought back with him from his second visit to Italy.

At the conference of Calais in 1521 English influence reached its zenith; but the alliance with Charles destroyed the balance on which that influence depended.

Government proposed to distribute this money among local authorities and expend the balance in relief rates, but a clause was inserted in this bill giving burgh and county councils the option of spending the balance on technical education as well as in relief of rates.

Scotland was to have forty-five members and sixteen elected peers at Westminster; the holders of Darien stock were compensated; as a balance to equality of taxation a pecuniary equivalent was to be paid, the kirk and Scottish courts of justice were safeguarded (final appeal being to the British House of Lords), and Scots shared English facilities and privileges of trade, in name, for many years passed before Scotland really began to enjoy the benefits.

There is nothing in Scots to balance this English and Latin list.

Realizing that the total weight of all the products of a chemical reaction must be exactly equal to the total weight of the reacting substances, he made the balance the ultima ratio of the laboratory, and he was able to draw correct inferences from his weighings because, unlike many of the phlogistonists, he looked upon heat as imponderable.

The total receipts for the biennial period ending the 30th of September 1908 were $19,588,842.06, and the disbursements were $21,278,805.27; and on the 1st of October 1908 there was a balance in the treasury of $3,859,z63-44.

Of the total imports from 1912-3, one-half come direct from India and a quarter from the United Kingdom direct, the balance from foreign countries, European and Asiatic, in about equal proportions.

Where bigotry is so blind, reason is but dust in the balance.

From his father, whose stern, somewhat pedantic nature repelled warmer feelings on the part of the children, Goethe inherited that "holy earnestness" and stability of character which brought him unscathed through temptations and passions, and held the balance to his all too powerful imagination.

The fate of the Jesuits hung in the balance; and the Bourbon princes were determined to have a pope subservient to their hostile designs.

The balance of power moves now to Israel and now to Judah, and tendencies to internal disintegration are illustrated by the dynastic changes in Israel and by the revolts and intrigues in both states.

The balance of the imports was chiefly made up of dried fruits.

But the amir, whose feelings of resentment had by no means abated, was now leaning toward Russia, though he mainly desired to hold the balance between two equally formidable rivals.

The balance of trade is always against India, because she is a debtor country, and has to pay interest on borrowed capital, and the " home charges " for the upkeep of the civil and military services and of the secretary of state's establishment in London.

The revenue (in 1904-1905 about £350,000) is generally insufficient to meet expenditure (in 1904-1905 over £490,000) - the balance being met by a grant from the mother country.

The thermal capacity of the scale-pan, &c., can be determined by a separate experiment., or, still better, eliminated by the differential method of counterpoising with an exactly similar arrangement on the other arm of the balance.

About the same time a law passed Congress for distributing among the states some $35,000,000 balance belonging to the United States, the public debt having all been paid.

Stuart Mill's System of Logic marked a fresh stage in the history of empiricism, for the reason that it made the effort to hold an even balance between the two moments in the thought of the school.

On the whole the probabilities of the two sites seem to balance, and it is practically impossible without further discoveries to decide between them.

The cause of these changes is at present obscure, if not unknown, and it must be admitted that their sequence has been disputed by some excellent authorities, but the balance of evidence is certainly in favour of the above statement.

With others like Bremen, Hamburg and Magdeburg, it was long in the balance which class they belonged to.

The news of the events in Syria and especially of the deprivation of Mehemet Ali had produced in France what appeared to be an exceedingly dangerous temper; the French government declared that it regarded the maintenance of Mehemet Ali in Egypt as essential to the European balance of power; and Louis Philippe sought to make it clear to the British government, through the king of the Belgians, that, whatever might be his own desire to maintain peace, in certain events to do so would be to risk his throne.

In the Eschenhagen form of vertical force balance two deflecting magnets are used to partly neutralize the vertical component, so that the centre of gravity is almost exactly over the support.

Since this is proportional to the mass, the relative masses to be attributed to various bodies can be determined practically by means of the balance.

When the load on one of the pieces is parallel to the resistances which balance it, the polygon of resistances ceases to be closed, two of the sides becoming parallel to each other and to the load in question, and extending indefinitely.

Principle of the Equality of Energy and Work.FroIn the first law of motion it follows that in a machine whose pieces move with uniform velocities the efforts and resistances must balance each other.

But if the effort and the resistance be alternately in excess, the uniformity of speed may still be preserved by so adjusting some moving weight in the mechanism that when the effort is in excess it may be lifted, and so balance and employ the excess of effort, and that when the resistance is in excess it may fall, and so balance and overcome the excess of resistancethus storing the periodical excess of energy and restoring that energy to perform the periodical excess of work.

The particles of a rotating body exert centrifugal forces on each other, which strain the body, and tend to tear it asunder, but these forces balance each other, and do not affect the resultant centrifugal force exerted on the axis of rotation.i -

The general problem in practice is, given a system of weights attached to a shaft, to find the respective weights and positions of two balance weights or counterpoises which must hi added to the system in order to make the shaft a permanent axis, the planes in which the balance weights are to revolve also beinf given.

To solve this the reference plane must be chosen so that ii coincides with the plane of revolution of one of the as yet unknowr balance weights.

The balance weight in this plane has therefon no couple corresponding to it.

Hence by drawing a couple polygor for the given weights the vector which is required to close the polygor is at once found and from it the magnitude and position of the balanci weight which must be added to the system to balance the couplo follow at once.

Then, transferring the product Wr correspondinf with this balance weight to the reference plane, proceed to draw the force polygon.

The vector required to close it will determine the second balance weight, the work may be checked by taking the reference plane to coincide with the plane of revolution of the second balance weight and then re-determining them, or by taking a reference plane anywhere and including the two balance weights trying if condition (c) is satisfied.

Using this principle the method of finding the balance weights to be added to a given system of reciprocating weights in order to produce a system of forces on the frame continuously in equilibrium is exactly the same as that just explained for a system of revolving weights, because for the purpose of finding the balance weights each reciprocating weight may be supposed attached to the crank pin which operates it, thus forming an equivalent revolving system.

The balance weights found as part of the equivalent revolving system when reciprocated by their respective crank pins form the balance weights for the given reciprocating system.

The balance weights are to be separately calculated for each system, the one set being added to the crank shaft as revolving weights, and the second set being included with the reciprocating weights and operated by a properly placed crank on the crank shaft.

Balance weights added in this way to a set of reciprocating weights are sometimes called bob-weights.

Ultimately a change in the balance of parties compelled him to leave the city, and he died in the Peloponnese of the results of an accident in 430.

Historically, there is, first, the tendency towards increase in state income to balance the advance in outlay.

Electrolytic copper should contain at least 99.92% of metallic copper, the balance consisting mainly of oxygen with not more than o oi% in all of lead, arsenic, antimony, bismuth and silver.

A great deal has been said about the upsetting of the balance of nature by naturalization, and as to the ill-doing of exotic forms. But certain considerations should be borne in mind in this connexion.

It consisted of a plane conducting plate forming one pan of a balance which was suspended over another insulated plate which could be electrified.

The new constitution of the 10th of August 1772, which Gustavus imposed upon the terrified estates at the bayonet's point, converted a weak and disunited republic into a strong but limited monarchy, in which the balance of power inclined,.

The controversy between the old and the new schools raged so fiercely, and the victory has remained so obviously in the hands of the latter, that it is difficult, especially for a foreigner, to hold the balance perfectly even.

For a few days the issue hung in the balance, and then the Argentine government accepted the provisions made in 1896 for arbitration.

He was the original inventor of the torsion balance, which afterwards became so famous in the hands of its second inventor Coulomb.

It is worthy of note that this debt, principal and accumulated interest, exceeded six and a half millions sterling in 1873, and that the bondholders surrendered about 60% of the claim in the hope of securing the payment of the balance.

The issue was doubtful, and each side sought to secure the support of the native voters, who in several constituencies held the balance of power.

To balance the budget, Mr Merriman proposed drastic remedies, including the suspension of the sinking fund, the reduction of salaries of all civil servants, and taxes on incomes of £50 per annum.

The theory of the scale-beam is stated by Weisbach in his Mechanics of Machinery and Engineering, as follows - In fig I D is the fulcrum of the balance, S the centre of gravity of the beam alone without the scales, chains or weights; A and B the points of suspension of the chains.

In order to increase the sensitiveness of a balance, the line AB joining the points of suspension and the centre of gravity of the balance must be brought nearer to each other.

Therefore with equal weights a balance vibrates more slowly the more sensitive it is, and therefore weighing by a sensitive balance is a slower process than with a less sensitive one.

The chief reason for testing balances with weights in the scale-pans rather than with the scale - pans empty, is that the balance might be unstable with the weights though stable without them.

The addition of weights in the scales will have the effect of raising the point H till it gets above Z, and the balance, becoming unstable, will turn till it is brought up by a stop of some kind.

The balance must be enclosed in a glass case to protect it from draughts of air or from the heat of the body of the operator.

The condition that must exist in order that the balance may weigh correctly for all positions of the weight W is w = o, or tan 0 = that is, the stay KG must be adjusted parallel to the line joining the points A and C. From the equation for w, it is seen that the larger h is the smaller w will be.

The torsion balance made by the United States Torsion Balance and Scale Company of New York is a counter machine made with - out knife-edges, and is very sensitive.

They are also used as trade computing machines, as in the case of the machine made by the Computing Scale Company, Dayton, Ohio, U.S.A. In this machine the goods to be priced are placed on the platform of a small platform machine whose steelyard is adjusted to balance exactly the weight of the platform, levers and connexions.

The steelyard is exactly in balance when there is no weight on the platform and Q is at the zero end of its run, at 0.