Weight Sentence Examples

weight
  • The boxes were heavy, so carrying two of them was too much weight to handle.

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  • He exercised enough and his weight was perfect.

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  • They needed to gain a little weight before they would be released from the hospital, though.

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  • Deidre let her full weight settle against him.

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  • He was suffering physically at that moment, there was a weight on his chest and he could not breathe.

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  • Lana felt the weight lifted, and she wrenched the straps as tight as she could.

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  • Darian shouted, staggering beneath the weight of his magic.

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  • She had gained enough weight to fill out the bodice completely.

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  • He had lost weight and his skin had a sallow look.

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  • Daniel rose a little, took a step, and with his whole weight, as if lying down to rest, fell on the wolf, seizing her by the ears.

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  • We all pull our own weight around here.

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  • He'd been as gentle with her as he'd known how, and still she suffered under the weight of the visions.

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  • Arnie's weight dropped, and Lana and Brady landed in a heap.

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  • His horse by habit made as if to nip his leg, but Petya leaped quickly into the saddle unconscious of his own weight and, turning to look at the hussars starting in the darkness behind him, rode up to Denisov.

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  • I give you my word of honor," said Napoleon, forgetting that his word of honor could carry no weight--"I give you my word of honor that I have five hundred and thirty thousand men this side of the Vistula.

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  • The weight of those secrets robbed her of her appetite and made her feel tired again, even after a full night of rest.

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  • She staggered under the weight of them, dropping to her knees.

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  • He made his way through the crowded halls, grunting under the weight of the man.

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  • Here! exclaimed different voices; and the heavy breathing of the bearers and the shuffling of their feet grew more hurried, as if the weight they were carrying were too much for them.

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  • A sergeant of the battalion ran up and took the flag that was swaying from its weight in Prince Andrew's hands, but he was immediately killed.

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  • Snaking her upper torso over the back of the seat, she began to shift her weight toward the back of the car.

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  • What appeared to be red wine was squeezed out of the bath mat at the weight of her step.

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  • The cedar tree was bent over with the weight of a heavy load of wet snow.

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  • His weight kept her from moving.

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  • She strained under the weight of his body, and they staggered to her car.

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  • She woke when the bed sank with the weight of a person sitting down.

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  • She'd always had problems putting on weight.

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  • In order to obtain the seminvari ants we would write down the (w; 0, n) terms each associated with a literal coefficient; if we now operate with 52 we obtain a linear function of (w - I; 8, n) products, for the vanishing of which the literal coefficients must satisfy (w-I; 0, n) linear equations; hence (w; 8, n)-(w-I; 0, n) of these coefficients may be assumed arbitrarily, and the number of linearly independent solutions of 52=o, of the given degree and weight, is precisely (w; 8, n) - (w - I; 0, n).

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  • Kutuzov was impatiently urging on his horse, which ambled smoothly under his weight, and he raised his hand to his white Horse Guard's cap with a red band and no peak, nodding his head continually.

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  • She was looking him over, noting that he had gained back the weight and muscle tone, and that he looked delightful again.

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  • Putting n equal to co, in a generating function obtained above, we find that the function, which enumerates the asyzvgetic seminvariants of degree 0, is 1 1-z2.1-z3.1-z4....1-z0 that is to say, of the weight w, we have one form corresponding to each non-unitary partition of w into the parts 2, 3, 4,...0.

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  • Their Number For Any Weight W Is The Number Of Ways Of Composing W 3 With The Parts I, 2, And Thus The Generating Function Is Verified.

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  • To represent the simplest perpetuant, of weight 7, we may take as base either A2B 1 B 2 or A l A 2 B2, and since Ai+Bi =o the former is equivalent to A 2 ArB 2 and the latter to A 2 B i B2; so that we have, (1 -f-aix) (1 + a2x).

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  • In practice this oxidation process is continued until the whole of the oxygen is as nearly as possible equal in weight to the sulphur present as sulphide or as sulphate, i.e.

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  • Another oxychloride, PbC1 2.7PbO, known as "Cassel yellow," was prepared by Vauquelin by fusing pure oxide, PbO, with one-tenth of its weight of sal ammoniac. "Turner's yellow" or "patent yellow" is another artificially prepared oxychloride, used as a pigment.

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  • He failed, because Charles could not even then consent to abandon the bishops, and because no Scottish party of any weight could be formed unless Presbyterianism were established ecclesiastically.

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  • Thus it is found that the action of the heart is accelerated by pleasant, and retarded by unpleasant, stimuli; again, changes of weight and volume are found to accompany modifications of affection - and so on.

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  • If P is the weight of the magnet, l the length of each of the two threads, 2a the distance between their upper points of attachment, and 2b that between the lower points, then, approximately, MH = P(ab/l) sin 0.

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  • The greatest weight supported in the experiments was 14,600 grammes per square cm., and the corresponding induction 18, Soo units.

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  • W is a weight capable of sliding from end to end of the yoke along a graduated scale.

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  • The weight W is moved along the scale until the yoke just tilts over upon the stop S; the distance of W from its zero position is then, as can easily be shown, proportional to F, and therefore to B 2, and approximately to I 2.

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  • The rope was taut with his evil weight and she could hear his movements as he carefully climbed down the sheer wall to his ice-bound lair below.

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  • The rod touches this pole at a single point, and is pulled away from it by the action of a lever, the long arm of which is graduated and carries a sliding weight.

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  • Carmen felt the full weight of a question that had no answer.

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  • She turned it again, and this time put her weight against the door.

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  • This doesn't have anything to do with you fretting about my weight, does it?

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  • Dusty looked up from the computer screen as Toni walked in, staggering under the weight of a massive box.

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  • He wrenched the attacker across his body and pinned him beneath his own body weight.

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  • One buffet table sagged beneath the weight of five kegs while another held food wrapped in cellophane and tinfoil.

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  • The bed shifted under the weight of Darkyn's frame as he settled in beside her.

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  • She was still too pale and her frame slender enough to indicate she needed some food to bring her back to a healthy weight.

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  • The young college-aged waitress inserted the tack, placed a quarter beneath it for weight and sounded a horn to call attention.

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  • He was supporting her entire weight in addition to his own.

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  • She had decided to let it grow long, even though she feared the weight of it would remove the curls.

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  • There was nothing wrong with Katie's figure except that she was a little over weight.

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  • Are you saying he's the dead weight and not me?

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  • By the time she reached the beach house, her face was Smurf blue and she was laboring under the weight of the treasures she'd found.

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  • As if sensing the weight of the word, he turned, brow furrowed.

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  • And yet, he couldn't help feeling as if he alone bore the weight of his planet on his back as he struggled to pay for food, water, and weapons.

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  • His gloves, adequate for snow shoveling, were poor equipment to safely grasp a rope that supported his full weight.

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  • He forced the picture from his mind and leaned backward, testing the rope against his weight.

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  • She didn't cut the rope all the way through, but enough that it wouldn't bear her husband's full weight.

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  • Unaccustomed to the weight of the rucksack on her back, she almost toppled over at the first step of the stairwell and caught the banister with both hands.

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  • The twins were healthy and acceptable weight, so they released Katie.

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  • She'd lost too much weight over the past couple of weeks.

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  • The weight from her legs lifted suddenly, and fresh pain jarred her back into the imploding world.

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  • Rissa grunted at the impact of his weight and squirmed.

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  • He stumbled, his body straining beneath her weight and his speed.

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  • Shifting her weight off the injured ankle, she pushed away from him.

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  • Hesitantly she urged the car forward, catching her breath as the bridge creaked and groaned under the weight of the tiny car.

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  • Let the weight of the whip work for you, not against you.

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  • The tray was too much for her hurt arm, which could support no weight.

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  • The bed sank beneath his weight.

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  • If 127 parts of iodine, which is an almost black solid, and loo parts of mercury, which is a white liquid metal, be intimately mixed by rubbing them together in a mortar, the two substances wholly disappear, and we obtain instead a brilliant red powder quite unlike the iodine or the mercury; almost the only property that is unchanged is the weight.

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  • Certain difficulties that he met with in his speculations led him to the conclusion that the particles of any one kind of gas, though all of them alike, must differ from those of another gas both in size and weight.

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  • The jactus lapidum of which he speaks was probably more akin to the modern "putting the weight," once even called "putting the stone."

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  • The weight of the engine may be assumed in advance to be 80 tons.

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  • This arrangement involves a further increase of length and weight.

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  • Mendeleeff endeavoured to obtain a connexion between surface energy and constitution; more successful were the investigations of Schiff, who found that the " molecular surface tension," which he defined as the surface tension divided by the weight.

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  • It appeared that the quantity of oil contained in the liver of a cod (per unit of weight) increases with the age of the fish.

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  • The prophets themselves lay no weight upon the ark as the central point of Jerusalem's holiness.

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  • The dried fruit used for dessert in European countries contains more than half its weight of sugar, about 6% of albumen, and 12% of gummy matter.

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  • Now this ratio is the same as that which gives the relative chemical equivalents of hydrogen and copper, for r gramme of hydrogen and 31.8 grammes of copper unite chemically with the same weight of any acid radicle such as chlorine or the sulphuric group, SO 4.

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  • Taking the chemical equivalent weight of silver, as determined by chemical experiments, to be 107.92, the result described gives as the electrochemical equivalent of an ion of unit chemical equivalent the value 1 036 X 5.

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  • If, as is now usual, we take the equivalent weight of oxygen as our standard and call it 16, the equivalent weight of hydrogen is I o08, and its electrochemical equivalent is I 044 X 5.

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  • These seeds have been examined at the Imperial Institute, and the kernels have been found to contain nearly half their weight (48%) of an oil resembling linseed oil and applicable for the same purposes.

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  • If an article made of cut sheet be immersed for a few minutes in a bath of melted sulphur, maintained at a temperature of 120 0 C., the rubber absorbs about one-tenth of its weight of that element, and, although somewhat yellowish in colour from the presence of free sulphur, it is still unvulcanized, and unaltered as regards general properties.

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  • Most of the rubber now manufactured is not combined with sulphur when in the form of sheets, but is mechanically incorporated with about one-tenth of its weight of that substance by means of the mixing rollers - any required pigment or other matter, such as whiting or barium sulphate, being added.

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  • 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.

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  • The resultant being a product of mn root differences, is of degree mn in the roots, and hence is of weight mn in the coefficients of the forms; i.e.

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  • It is the resultant of k polynomials each of degree m-I, and thus contains the coefficients of each form to the degree (m-I)'-1; hence the total degrees in the coefficients of the k forms is, by addition, k (m - 1) k - 1; it may further be shown that the weight of each term of the resultant is constant and equal to m(m-I) - (Salmon, l.c. p. loo).

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  • The function Zap 1 a 2 P2 ...an n being as above denoted by a partition of the weight, viz.

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  • It is convenient to write the distinct partitions or separates in descending order as regards weight.

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  • The weight of the function is the sum of the numbers in the bracket, and the degree the highest of those numbers.

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  • The sum of the monomial functions of a given weight is called the homogeneous-product-sum or complete symmetric function of that weight; it is denoted by h.; it is connected with the elementary functions by the formula 1 7r1l7r2!7r3!

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  • The weight of the function is bipartite and consists of the two numbers Ep and Eq; the symbolic expression of the symmetric function is a partition into biparts (multiparts) of the bipartite (multipartite) number Ep, Eq.

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  • Then if j, J be the original and transformed forms of an invariant J= (a1)wj, w being the weight of the invariant.

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  • Therefore every form of degree 2, except of course that one whose weight is zero, is a perpetuant.

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  • By the rules adopted we take A?B 2 B 3, which gives (12)a(32)b - (1)a(321)b+ao(3212)b, the simplest perpetuant of weight 7; and thence the general form enumerated by the generating function 1 -z.1-z2.1 - z3 ?

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  • The position of the weight at the moment when contact is broken indicates the induction in the rod.

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  • Bidwell 2 accordingly found upon trial that the Wiedemann twist of an iron wire vanished when the magnetizing force reached a certain high value, and was reversed when that value was exceeded; he also found that the vanishing point was reached with lower values of the magnetizing force when the wire was stretched by a weight.

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  • Annexed are values of Io 6 K for the different salts examined, w being the weight of the salt per c.c. of the solution.

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  • Thus a relation between susceptibility and atomic weight is clearly indicated.

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  • This arrangement has not hitherto been detected in any other class than the Arachnida, and if it should ultimately prove to be peculiar to that group, would have considerable weight as a proof of the close genetic affinity of Limulus and Scorpio.

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  • As regards the Philistines, it is impossible to lay much weight on the statement of Chronicles, unsupported as it is by the older history, and in Joel the Philistines plainly stand in one category with the Phoenicians, as slave dealers, not as armed foes.

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  • The speed due to the excess of weight on the loaded side is controlled by a brake on the drum.

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  • Rose determined the atomic weight to be 47.72 (H =1).

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  • A genuine example of it is at present worth many times its weight in gold to Japanese dilettanti, though in foreign eyes it is little more than interesting.

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  • Still I could not shut my eyes to the force and weight of their arguments, and I saw plainly that I must abandon--'s scheme as impracticable.

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  • You'd look fine, said a corporal, chaffing a thin little soldier who bent under the weight of his knapsack.

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  • The conclusion that each element had a definite atomic weight, peculiar to it, was the new idea that made his speculations fruitful, because it allowed of quantitative deduction and verification.

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  • The law of multiple proportions asserts that if two elements form more than' one compound, then the weights of the one element Law of which are found combined with unit weight of the other multiple in the different compounds, must be in the ratio of two propor or more whole numbers.

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  • In water and in ethylene experiment shows that 8 parts by weight of oxygen and 6 parts of carbon, respectively, are in union with one part of hydrogen; also, if the diagrams are correct, these numbers must be in the ratio of the atomic weights of oxygen and carbon.

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  • But on account of experimental errors in weighing and measuring, and through loss of material in the transfer of substances from one vessel to another, such analyses are rarely trustworthy to more than one part in about Soo; so that small changes in weight consequent on the chemical change could not with certainty be proved or disproved.

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  • In each of a number of experiments he found that the weight of the silver iodide did not differ by one twenty-thousandth of the whole from the sum of the weights of the silver and the iodine used.

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  • Landolt and others, made it at first appear that the change in weight, if there is any, consequent on a chemical change can rarely exceed one-millionth of the weight of the reacting substances, and that it must often be much less.

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  • He concluded that no change of weight can be detected.

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  • It is now agreed that the molecule of water contains two atoms of hydrogen and one of oxygen, so that the atomic weight of oxygen becomes 16, and similarly that the molecule of ammonia contains three atoms of hydrogen and one of nitrogen, and that consequently the atomic weight of nitrogen is 14.

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  • According to one story, Archimedes was puzzled till one day, as he was stepping into a bath and observed the water running over, it occurred to him that the excess of bulk occasioned by the introduction of alloy could be measured by putting the crown and an equal weight of gold separately into a vessel filled with water, and observing the difference of overflow.

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  • Hiero asked him to give an illustration of his contention that a very great weight could be moved by a very small force.

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  • Now, if CD is pressed by its weight or by a spring on the surface AB, the effect of wear will be to produce a symmetrical grinding away of both surfaces, which may be represented thus, fig.

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  • The resolutions of the Lambeth Conferences have never been regarded as synodical decrees, but their weight has increased with each conference.

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  • Suitable proportions of materials to form a rust joint are 90 parts by weight of iron borings well mixed with 2 parts of flowers of sulphur, and I part of powdered sal-ammoniac. Another joint, less rigid but sound and durable, is made with yarn and white and red lead.

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  • In the season of 1899-1900 the wool exports weighed 420,000,000 lb, and averaged more than 5 lb per sheep. The extra weight of fleece was owing to the large importation of better breeds.

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  • Of discoveries superficially sensational there are few or none to record, and the weight of his work is for the most part to be appreciated only by professed physicists.

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  • Of the larger kangaroos, which attain a weight of 200 lb and more, eight species are named, only one of which is found in Western Australia.

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  • Among the sea fish, the schnapper is of great value as an article of food, and its weight comes up to 50 lb.

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  • During the same period, owing to the efforts of pastoralists to improve their flocks, there was a gradual increase in the weight of wool produced per sheep from 341b to an average of over 71b.

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  • Although the financial operations of the Commonwealth and the states are quite distinct, a statement of the total revenue of the Australian Commonwealth and states is not without interest as showing the weight of taxation and the different sources from which revenue is obtained.

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  • The theory which meets this difficulty is that which has in its favour the greatest weight of evidence, viz.

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  • In the northern Netherlands generally up to the end of the 14th century the towns had no great political weight; their importance depended upon their river commerce and their markets.

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  • These great magnates, all of them Knights of the Fleece and men of peculiar weight and authority in the country, were disgusted to find that, though nominally councillors of state, their advice was never asked, and that all power was placed in the hands of the Consulta.

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  • He supported John with all the weight of papal authority.

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  • Its weight varies from 48 to about 55lb the cubic foot, but in very hard slowly-grown trunks sometimes approaches 60 lb.

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  • The atomic weight was determined by Cleve.

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  • They are brief, yet not wanting in that element of practical edification on which Chrysostom lays special weight as characteristic of the Antiochenes.

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  • Grant threw the whole weight of his great influence in favour of confederation, and his oratory played an important part in securing the success of the movement.

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  • His plan was to replace coined gold dollars by " gold bullion dollar certificates " which should command such weight of gold bullion as might legally be declared to constitute a dollar at that particular time.

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  • The weight of this ideal gold dollar would be adjusted at intervals in accordance with its power to purchase commodities as shown by the " index number " of prices.

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  • Rumford then turned up a hollow cylinder which was cast in one piece with a brass six-pounder, and having reduced the connexion between the cylinder and cannon to a narrow neck of metal, he caused a blunt borer to press against the hollow of the cylinder with a force equal to the weight of about ro,000 lb, while the casting was made to rotate in a lathe.

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  • In the first, the pressure is applied by a handle or treadle, and is removed by a spring or weight; this is called " braking on."

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  • In the second, or " braking off " method, the brake is automatically applied by a spring or weight, and is released either mechanically or, in the case of electric cranes, by the pull of a solenoid or magnet which is energized by the current passing through the motor.

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  • Where the rail-gauge is narrow and great weight is not desired, blocking girders are provided across the under side of the truck; these are arranged so that, by means of wedges or screws, they can be made to increase the base.

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  • The central conductor is covered with several continuous coatings of guttapercha, the total weight of which varies between 70 and 650 lb to the mile.

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  • The weight of the iron sheath varies greatly according to the depth of the water, the nature of the sea bottom, the prevalence of currents, and so on.

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  • Whilst it is being paid out the portion between the surface of the water and the bottom of the sea lies along a straight line, the component of the weight at right angles to its length being supported by the frictional resistance to sinking in the water.

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  • From the continuous records of slack and strain combined with the weight of the cable it is a simple matter to calculate and plot the depths along the whole route of the cable as actually laid.

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  • After the " final splice," as it is termed, between these ends has been made, the bight, made fast to a slip rope, is lowered overboard, the slip rope cut, and the cable allowed to sink by its own weight to its resting-place on the sea bed.

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  • In the undulator apparatus, which is similar in general principle to the " siphon recorder " used in submarine telegraphy, a spring or falling weight moves a paper strip beneath one end of a fine silver tube, the other end of which dips into a vessel containing ink.

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  • Either a weight or a motor is used for making the movements of the mechanism required to effect the printing of the signals.

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  • When the sounding board was spoken to or subjected to sound-waves, the mechanical resistance of the loose electrode, due to its weight, or the spring, or both, served to vary the pressure at the contact, and this gave to the current a form corresponding to the sound-waves, and it was therefore capable of being used as a speaking-telephone transmitter.'

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  • These vary in weight from soo to 1000 lb, according to the variety of camel employed, for of the Arabian camel there are almost as many breeds as there are of the horse.

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  • In Sicily the so-called Modica race is of note; and in Sardinia there is a distinct stock which seldom exceeds the weight of 700 lb.

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  • The regulations provide that if there is a greater weight of correspondence (including bookpackets) than 13/4 lb for any individual by any one delivery, notice shall be given him that it is lying at the post office, he being then obliged to arrange for fetching it.

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  • Tobacco slightly diminished in weight at a little over I lb per head, while the gross receipts are considerably increasedby over 23/4 millions sterling since 1884-1885---showing that the quality consumed is much better.

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  • Mill tried to reconcile criminal law and its punishments with his very hard type of determinism by saying that law was needed in order to weight the scale, and in order to hold out a prospect of penalties which might deter from crime and impel towards good citizenship, so Paley held that virtue was not merely obedience to God but obedience " for 1 Criticism of the scheme, from the point of view of an idealist theism, will be found in John Caird's Introduc to the Phil.

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  • Still the main weight of intuitionalist theism rests upon the conception of God as First Cause.

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  • Edmund Burke says "Magna Carta, if it did not give us originally the House of Commons, gave us at least a House of Commons of weight and consequence."

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  • The weight of Malpighi's observations therefore fell into the scale of that doctrine which Harvey terms metamorphosis, in contradistinction to epigenesis.

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  • These forces however fail to furnish a complete explanation of the ascent of the current, and others have been thought to supplement them, which have more or less weight.

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  • The sensitive cells must clearly be influenced in some way by weightnot the weight of external organs but of some weight within them.

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  • Or more probably it may be the weight of definite particulate structures in their vacuoles.

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  • On stimulation these cells part with their water, the lower side of the organ becomes flaccid and the weight of the leaf causes it to fall.

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  • As the atomic weight of the element increases, it is found that the solubility of the sulphates in water decreases.

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  • Hantzsch (Ber., 1901, 34, p. 3337) has shown that in the action of alcohols on diazonium salts an increase in the molecular weight of the alcohol and an accumulation of negative groups in the aromatic nucleus lead to a diminution in the yield of the ether produced and to the production of a secondary reaction, resulting in the formation of a certain amount of an aromatic hydrocarbon.

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  • Fifteen grains constitute an exceedingly dangerous dose for an adult male of average weight.

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  • Borelli (De motu animalium, Rome, 1680), explained that birds are enabled to grasp the twig on which they rest whilst sleeping, without having to make any muscular exertion, because the weight of the body bends the knee and ankle-joints, over both of which pass the tendons of this compound muscle.

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  • His eldest son Charles (1536-1624), lord admiral of England in 1585, sailed as commander in chief against the Spanish Armada, and, although giving due weight to the counsel of Drake and his other officers, showed himself a leader as prudent as courageous.

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  • The atomic weight was determined by Berzelius, Erdmann and Marchand, Dumas and Stas.

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  • In the ordinary tribunals weight is given to the " customs " of the peasants, even when these conflict with the written law.

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  • Having obtained these important concessions the tsar imagined for a moment that in any further territorial changes he would be consulted and his advice allowed due weight, and he seems even to have indulged in the hope that the affairs of Europe might be directed by himself and his new ally.

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  • The fare was is., and each passenger was allowed to take baggage not exceeding 14 lb weight.

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  • For each of these classes a rate-sheet gives the actual ratecharge per unit of weight between the various stations covered by the tariff.

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  • As embankments have to support the weight of heavy trains, they must be uniformly firm and well drained, and before the line is fully opened for traffic they must be allowed time to consolidate, a process which is helped by running construction or mineral trains over them.

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  • The theoretical limit is about i in 16; between I in 20 and 1 in 16 a steam locomotive depending on the adhesion between its wheels and the rails can only haul about its own weight.

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  • Racks of this type usually become impracticable for gradients steeper than 1 in 4, partly because of the excessive weight of the engine required and partly because of the tendency of the cog-wheel to mount the rack.

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  • The weight required to cause the downward motion is obtained either by means of the material which has to be transported to the bottom of the hill or by water ballast, while to aid and regulate the motion generally steam or electric motors are arranged to act on the main drums, round which the cable is passed with a sufficient number of turns to prevent slipping.

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  • The amount of superelevation required to prevent derailment at a curve can be calculated under perfect running conditions, given the radius of curvature, the weight of the vehicle, the height of the centre of gravity, the distance between the rails, and the speed; but great experience 1 See The Times Engineering Supplement (August 22, 1906), p. 265.

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  • The gauge may be regarded as reduced to its narrowest possible dimensions in mono-rail lines, where the weight of the trains is carried on a single rail.

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  • The ballast consists of such materials as broken stone, furnace slag, gravel, cinders or earth, the lower layers commonly consisting of coarser materials than the top ones, and its purpose is to provide a firm, well-drained foundation in which the sleepers or crossties may be embedded and held in place, and by which the weight of the track and the trains may be distributed over the road-bed.

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  • The keys which hold the rail in the chairs are usually of oak and are placed outside the rails; the inside position has also been employed, but has the disadvantage of detracting from the elasticity of the road since the weight of a passing train presses the rails up against a rigid mass of metal instead of against a slightly yielding block of wood.

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  • On all the accepted forms there are two or more flanges at the bottom, running lengthwise of the plate and crosswise of the rail; these are requisite to give proper stiffness, and further, as they are forced into the tie by the weight of passing traffic, they help to fix the plate securely in place.

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  • In whatever form energy is produced and distributed to the train it ultimately appears as mechanical energy applied to turn one or more axles against the resistance to their rotation imposed by the weight on the wheels and the motion of the train.

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  • The weight W 1 carried by the part of the frame supported by the wheel (whose diameter is D) is transmitted first to the pins P 1, P2, which are fixed to the frame, and then to the spring links L 1, L2, which are jointed at their respective ends to the spring S, the centre of which rests on the axle-box.

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  • The maximum weight which one pair of wheels are usually allowed to carry on a first-class track is from 18 to 20 tons.

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  • Every axle of an electric locomotive may thus be subjected to a torque, and the large weight which must be put on one pair of wheels in order to secure sufficient adhesion when all the driving is done from one axle may be distributed through as many pairs of wheels as desired.

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  • This corrected pull is then divided by the weight of the vehicles hauled, in which must be included the weight of the dynamometer car, and the quotient gives the resistance per ton of load hauled at a certain uniform speed on a straight and level road.

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  • To obtain the tractive force the weight on the coupled wheels must be about five times this amount - that is..

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  • The exhaust steam passing from the engine through the blastpipe and the chimney produces a diminution of pressure, or partial vacuum, in the smoke-box roughly proportional to the weight of steam discharged per unit of time.

    0
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  • As the indicated horse-power of the engine increases, the weight of steam discharged increases, and the smoke-Lox vacuum is increased, thereby causing more air to flow through the furnace and increasing the rate of combustion.

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  • Hence, if p is the maximum value of the mean effective pressure corresponding to about 85% of the boiler pressure,, uW = pd 2 le /D (26) is an expression giving a relation between the total weight on the coupled wheels, their diameters and the size of the cylinder.

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  • Assuming that the frictional resistance at the rails is given by the weight on the wheels, the total weight on the driving-wheels necessary to secure sufficient adhesion to prevent slipping must be at least 8.3 X5 =41.5 tons.

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  • This would be distributed between three coupled axles giving an average of 1.38 tons per axle, though the distribution might not in practice be uniform, a larger proportion of the weight falling on the driving-axle.

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  • It will be seen at once that with a tractive force of 7400 lb a weight of 37,000 lb (=16.5 tons) would be enough to secure sufficient adhesion, and this could be easily carried on one axle.

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  • 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.

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  • It is adapted for light, high-speed service, and noted for its simplicity, excellent riding qualities, low cost of maintenance, and high mechanical efficiency; but having limited adhesive weight it is unsuitable for starting and accelerating heavy trains.

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  • It is a safe, steady-running and trustworthy engine, with excellent distribution of weight, and it is susceptible of a wide range of adaptability in power requirements.

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  • Used to some extent in France and Germany and considerably in England for passenger traffic of moderate weight.

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  • In the United States it is the standard heavy slow-speed freight engine, and has been built of enormous size and weight.

    0
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  • Their boilers are of relatively large proportions for the train weight and average speed, and the driving wheels of small diameter, a large proportion of their total weight being " adhesive."

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  • There is a general increase in cylinder power, boiler pressure and weight, and in consequence in the number of coupled axles.

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  • It will be seen from these particulars - which are typical of what has happened not only on other British railways, but also on those of other countries - that much more space has to be provided and more weight hauled for each passenger than was formerly the case.

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  • Less than 20 years later the lineal length allowed each had increased to nearly 1.4 ft., and the weight to nearly 14 cwt.

    0
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  • In all countries passenger trains must vary in weight according to the different services they have to perform; suburban Weight trains, for example, meant to hold as many pas ah d sengers as possible, and travelling at low speeds, do not weigh so much as long-distance expresses, which include dining and sleeping cars, and on which, from considerations of comfort, more space must be allowed each occupant.

    0
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  • The speed at which the journey has to be completed is obviously another important factor, though the increased power of modern locomotives permits trains to be heavier and at the same time to run as fast, and often faster, than was formerly possible, and in consequence the general tendency is towards increased weight as well as increased speed.

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  • An ordinary British 10-ton wagon often weighs about 6 tons empty, and rarely much less than 5 tons; that is, the ratio of its possible paying load to its tare weight is at the best about 2 to 1.

    0
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  • But an American car with a capacity of 10o,000 lb may weigh only 40,000 lb, and thus the ratio of its capacity to its tare weight is only about 5 to 2.

    0
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  • The weight and speed of goods trains vary enormously according to local conditions, but the following figures, which refer to traffic on the London & North-Western railway between London and Rugby, may be taken as representative of good English practice.

    0
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  • Such trains, therefore, range in weight from 600 to 1800 tons or even more, and the journey speeds from terminus to terminus, including stops, vary from 15 to 30 m.

    0
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  • In British practice the chains consist of three links, and are of such a length that when fully extended there is a space of a few inches between opposing buffers; this slack facilitates the starting of a heavy train, since the engine is able to start the wagons one by one and the weight of the train is not thrown on it all at once.

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  • Electricity is applied through a separate locomotive attached to the head of the train, or through motor carriages attached either at one end or at both ends of the train, or by putting a motor on every axle and so utilizing the whole weight of the train for traction, all the motors being under a single control at the head of the train, or at any point of the train for emergency.

    0
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  • Since high average speed on a line with frequent stops depends largely on rapidity of acceleration, the tendency in modern equipment is to secure as great an output of power as possible during the accelerating period, with corresponding increase in weight available for adhesion.

    0
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  • With a steam locomotive all the power is concentrated in one machine, and therefore the weight on the drivers available for adhesion is limited.

    0
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  • With electricity, power can be applied to as many axles in the train as desired, and so the whole weight of the train, with its load, may be utilized if necessary.

    0
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  • The chief difference between the first three types lies in the weight of rails and rolling stock and in the radius of the curves.

    0
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  • Yet, if there is not a mass of scientific evidence, there are a number of witnesses - among them distinguished men of science and others of undoubted intelligence --who have convinced themselves by observation that phenomena occur which cannot be explained by known causes; and this fact must carry weight, even without careful records, when the witnesses are otherwise known to be competent and trustworthy observers.

    0
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  • It was a further and perhaps much later development of the same idea that the good works of those who had previously enjoyed the favour of God were invoked to give additional weight to the prayer of the offerer.

    0
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  • The others were all said to have "confessed in a manner" on the scaffold, but much weight cannot be placed on these general confessions, which were, according to the custom of the time, a declaration of submission to the king's will and of general repentance rather than acknowledgment of the special crime.

    0
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  • A shilling is token money merely, it is nominally in value the one-twentieth of a pound, but one troy pound of silver is coined into sixty-six shillings, the standard weight of each shilling being 87.27 grains.

    0
    0
  • And lastly, by the Papirian law (89 B.C.) it was further reduced to the diminutive weight of half an ounce.

    0
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  • It is one of the largest species of the Cyprinid family, attaining to a length of 3 to 5 ft., and sometimes exceeding a weight of 701h.

    0
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  • Greater weight must be laid upon the independent evidence of the prophetical writings, and the objection that Palestine could not have produced the religious fervency of Haggai or Zechariah without an initial impulse from Babylonia begs the question.

    0
    0
  • Tench if kept in suitable waters are extremely prolific, and as they grow within a few years to a weight of 3 or 4 lb, and are then fit for the table, they may be profitably introduced into ponds which are already stocked with other fishes, such as carp and pike.

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  • He is allowed, however, " on account of its weight," to substitute for the pretiosa the auriphrygiata during part of the services, i.e.

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  • To him belongs the merit of carrying out some of the earliest determinations of the quantities by weight in which acids saturate bases and bases acids, and of arriving at the conception that those amounts of different bases which can saturate the same quantity of a particular acid are equivalent to each other.

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  • The Cyprinidae, or carp, are largely represented in southern Asia, and there grow to a size unknown in Europe; a Barbus in the Tigris has been taken of the weight of 300 Th.

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  • He guided it through the controversies as to Robertson Smith's heresies, as to the use of hymns and instrumental music, and as to the Declaratory Act, brought to a successful issue the union of the Free and United Presbyterian Churches, and threw the weight of the united church on the side of freedom of Biblical criticism.

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  • Hitherto weight has been laid on the practical side of Mirabeau's political genius; his ideas with regard to the Revolution after the 5th and 6th of October must now be examined, and this can be done at length, thanks to the publication of Mirabeau's correspondence with the Comte de la Marck, a study of which is indispensable for any correct knowledge of the history of the Revolution between 1789 and 1791.

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  • The general average yields of the corn crops are not fairly comparable one with the other, because they are given by measure and not by weight, whereas the weight per bushel varies considerably.

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  • The home-grown is the estimated dead weight of sheep and lambs slaughtered, which is taken at 40% of the total number of sheep and lambs returned each year in the United Kingdom.

    0
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  • The grazier buys and sells cattle much less frequently than the butcher buys them, so that the latter is naturally more skilled in estimating the weight of a beast through the use of the eye and the hand.

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  • In the feeding experiments which have been carried on at Rothamsted it has been shown that the amount consumed both for a given live weight of animal within a given time, and for the production of a given amount of increase, is, as current food-stuffs go, measurable more by the amounts they contain of digestible and available non-nitrogenous constituents than by the amounts of the digestible and available nitrogenous constituents they supply.

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  • The non-nitrogenous substance (the fat) in the increase in live weight of an animal is, at any rate in great part, if not entirely, derived from the non-nitrogenous constituents of the food.

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  • Hence it is that the amount of food consumed to produce a given amount of increase in live weight, as well as that required for the sustentation of a given live weight for a given time, should - provided the food be not abnormally deficient in nitrogenous substance - be characteristically dependent on its supplies of digestible and available non-nitrogenous constituents.

    0
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  • As, however, the manure of the animals of the farm is valuable largely in proportion to the nitrogen it contains, there is, so far, an advantage in giving a food somewhat rich in nitrogen, provided it is in other respects a good one, and, weight for weight, not much more costly.

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  • It has been proved at the Christmas fat stock shows that the older a bullock gets the less will he gain in weight per day as a result of the feeding.

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  • In the cattle classes, aged beasts of huge size and of considerably over a ton in weight used to be common, but in recent years the tendency has been to reduce the upper limit of age, and thus to bring out animals ripe for the butcher in a shorter time than was formerly the case.

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  • In the 1895 show, out of 356 entries of cattle, there were seven beasts of more than a ton in weight.

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  • In the 1899 show, with 311 entries of cattle, and the age limited to three years, no beast reached the weight of a ton, the heaviest animal being a crossbred(Aberdeen-Angus and Shorthorn)which,at three years old, turned the scale at 19 cwt.

    0
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  • Useful figures for purposes of comparison are obtained by dividing the weight of a fat beast by the number of days in its age, the weight at birth being thrown in.

    0
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  • The average daily gain in live weight is thus arrived at, and as the animal increases in age this average gradually diminishes, until the daily gain reaches a stage at which it does not afford any profitable return upon the food consumed.

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  • Amongst prize steers of two and a half to three years old, on the same occasion, the three highest daily average gains in live weight were 2.07 lb for an Aberdeen-Angus, 1.99 lb for a Shorthorn-Aberdeen cross-bred and 1.97 lb for a Sussex.

    0
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  • Tables are constructed showing the fasted live weight, the carcase weight, and the weight of the various parts that are separated from and not included with the carcase.

    0
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  • A familiar practical method of estimating carcase weight from live weight is to reckon one Smithfield stone (8 lb) of carcase for each imperial stone (14 lb) of live weight.

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  • How shall we determine the relative weight and importance of different kinds of relevant evidence?

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  • These facts afford strong support to the hypothesis that the weight of the shell is the original cause of the torsion of the dorsal visceral mass in Gastropods.

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  • His convictions gained weight from the simplicity, uprightness and diligence of his character; but they need a more effective justification than he was able to give them.

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  • Its most striking feature and the one from which it derives its name barytes, barite (from the Greek Oapis, heavy) or heavy spar, is its weight.

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  • The mass is then covered with two-thirds of its weight of alcohol, and saturated with hydrochloric acid gas.

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  • At the apex of the pyramid came the doge and his council, the point of highest honour and least weight in the constitution.

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  • In the trap-door species of Lycosidae, like, for instance, Lycosa opifex of the Russian steppes, the hinge is weak and the lid of the burrow is kept normally shut by being very much thicker and heavier at its free margin opposite the hinge so that it readily falls by its own weight.

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  • Meanwhile the English naturalist, John Ray, was studying the classification of animals; he published, in 1705, his Methodus insectorum, in which the nature of the metamorphosis received due weight.

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  • When this has been accomplished the weight of the crop is reduced to about one-third, each 100 lb of seed cotton as picked yielding after ginning some 33 lb of lint and 66 lb of cotton seed.

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  • It is soluble in 4ths of its weight of cold, and in half its weight of boiling water, and dissolves in alcohol, but not in ether.

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  • Oldenbarneveldt, supported by the states of Holland, came forward as the champion of provincial sovereignty against that of the states-general; Maurice threw the weight of his sword on the side of the union.

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  • The indigo plant is grown in large quantities in the plain country to the north of Mukden, and is transported thence to the coast in carts, each of which carries rather more than a ton weight of the dye.

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  • The headache-post is a vertical wooden beam placed on the main sill directly below the walking-beam, to receive the weight of the latter in case of breakage of connexions.

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  • The sucker carries a series of three or four leather cups, which are pressed against the inner surface of the working barrel by the weight of the column of oil.

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  • To explode the charge an iron weight, known as a go-devil, was dropped into the well, and striking the disk exploded the cap and fired the torpedo.

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  • The squib is lowered after the torpedo, and, when exploded by the descent of the weight, fires the charge.

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  • But Adhemar had died in August 1098 (whence, in large part, the confusion and bickerings which followed in the end of 1098 and the beginning of 1099) nor were there any churchmen left of sufficient dignity or weight to secure the triumph of the ecclesiastical cause.

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  • It refused to throw its weight into the scale, and to strengthen the hands of the king against an over-mighty nobility.

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  • Continually recruited from the West, they retained the vigour which the native Franks of Palestine gradually lost; and their corporate strength gave a weight to their arms which made them indispensable.

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  • Poggio's History of Florence, written in avowed imitation of Livy's manner, requires separate mention, since it exemplifies by its defects the weakness of that merely stylistic treatment which deprived so much of Bruni's, Carlo Aretino's and Bembo's work of historical weight.

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  • He was said to be the inventor of a kind of flying-machine, a wooden pigeon balanced by a weight suspended from a pulley, and set in motion by compressed air escaping from a valve.'

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  • This tendency is resisted by the weight of a mass of metal, which can be caused to slide along a tray attached to the movable coils.

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  • 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.

    0
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  • 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.

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  • Each instrument is accompanied by a pair of weights and by a square root table, so that the product of the square root of the number corresponding to the position of the sliding weight and the ascertained constant for each weight, gives at once the value of the current in amperes.

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  • Kelvin ampere balances are made in two types - (i) a variable weight type suitable for obtaining the ampere value of any current within their range; and (2) a fixed weight type intended to indicate when a current which can be varied at pleasure has a certain fixed value.

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

    0
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  • In these circumstances the current is known to have a fixed value in amperes determined by the weight attached to the instrument.

    0
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  • In the use of ammeters in which the control is the gravity of a weight, such as the Kelvin ampere balances and other instruments, it should be noted that the scale reading or indication of the instrument will vary with the latitude and with the height of the instrument above the mean sea-level.

    0
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  • If it fails to form a hard cake on cooling, a known weight of wax may be added and the product re-heated.

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  • The middle toe was the largest, and the weight of the body was mainly supported on this and the two adjoining digits, which appear to have been encased in hoofs, thus foreshadowing the tridactyle type common in perissodactyle and certain extinct groups of ungulates.

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  • In the Puerco, or Lowest Eocene of North America the place of the above species was taken by Euprotogonia puercensis, an animal only half the size of Phenacodus primaevus, with the terminal joints of the limbs intermediate between hoofs and claws, and the first and fifth toes taking their full share in the support of the weight of the body.

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  • But even in such questions he allowed some weight to political considerations and the wishes of his sovereign.

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    0
  • Thus, i part by weight of hydrogen unites with 8 parts by weight of oxygen, forming water, and with 16 or 8 X 2 parts of oxygen, forming hydrogen peroxide.

    0
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  • It may be generally inferred that an increase in molecular weight is accompanied by a change in colour in the direction of the violet.

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  • The weight of the rabbit is from 22 to 3 lb, although wild individuals have been recorded up to more than 5 lb.

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  • For not only has the weight been more than quadrupled in some of the larger breeds, and the structure of the skull and other parts of the skeleton greatly altered, but the proportionate size of the brain has been reduced and the colour and texture of the fur altered in a remarkable manner.

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  • Owing to the great weight of stones, their cost and their liability of being fractured in the press, zinc plates, and more recently aluminium plates, have largely taken the place of stone.

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  • He made his appeal to the conscience in the clearest language, with the most cogent argument, and with all the weight of personal conviction.

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    0
  • A flat sheet of lead or some other suitable weight should be laid upon the top of the pile of specimens, so as to keep up a continuous pressure.

    0
    0
  • For attaching it to the paper a strong mucilage of gum tragacanth, containing an eighth of its weight of spirit of wine, answers best.

    0
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  • The hammer-head attains a weight at times of 600 lb.

    0
    0
  • In recent years the growth of the leaf under cloth tents has greatly increased, as it has been abundantly proved that the product thus secured is much more valuable - lighter in colour and weight, finer in texture, with an increased proportion of wrapper leaves, and more uniform qualities, and with lesser amounts of cellulose, nicotine, gums and resins.

    0
    0
  • Numerous determinations of the atomic weight of nitrogen have been made by different observers, the values obtained varying somewhat according to the methods used.

    0
    0
  • Guye has given a critical discussion of the relative accuracy of the gravimetric and physico-chemical methods, and favours the latter, giving for the atomic weight a value less than 14.01.

    0
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  • This vicious system, grafted as it was upon an inefficient administration, and added to the weight of a continually depreciated currenc y, debased both by ill-advised fiscal measures and by public cupidity, formed one of the principal causes of the financial embarrassments which assailed the treasury with ever increasing force in the latter part of the 16th and during the 17th and 18th centuries.

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  • The gold coins issued were 500, 250, 100, 50, and 25 piastres in value, the weight of the loo-piastre piece (Turkish pound), 7 .

    0
    0
  • The silver coinage consisted of the mejidie (weight 24.055 grammes, 0.830 fine), equivalent to 20 piastres, and its subdivisions 10, 5, 2, I, and 2 piastre pieces.

    0
    0
  • Specimens may be sent to Europe for expert examination up to an aggregate weight of 2000 tons, on paying the requisite duties.

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  • The tide of success now turned again in favour of the Turks, who recaptured Karansebes and Lippa, and at Lugos exterminated by the weight of overwhelming numbers an Austrian force under Field-marshal Count Friedrich von Veterani (1630-1695), the hero of many victories over the Turks, who was killed in the battle.

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  • The authority of the cardinals, who were the only persons judicially invested with the right of electing the pope, emerged from the crisis through which the church had just passed in far too feeble and contested a condition to carry by its own weight the general assent.

    0
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  • For Roman Catholics the decision necessarily carries great weight, and it may perhaps have its influence on Anglicans of the school which approximates most closely to Roman belief.

    0
    0
  • A point A in space may be associated with a (real, positive, or negative) numerical quantity a, called its weight, and denoted by the symbol aA.

    0
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  • Protic was replaced by Davidovic, the Democrat leader, and though the Government remained a coalition, its weight was transferred farther to the Left.

    0
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  • Again the closest analogy is the state of the Mongols in the 13th century, but too much weight must not be put on this, as the natural conditions of steppe-ranging nomads dictated the greater part of them.

    0
    0
  • These results were adopted until Peligot in 1840 discovered that Berzelius's (and Klaproth's) metal contains oxygen, and that his (Ur 2) 0 3 really is (U606) 03= 3U 2 0 3, where U= 120 is one equivalent weight of real uranium.

    0
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  • Peligot's results, though called in question by Berzelius, have been amply confirmed by all subsequent investigators; only now, on theoretical grounds, first set forth by Mendeleeff, we double Peligot's atomic weight, so that U now signifies 240 parts of uranium, while UO 3 stands as the formula of the yellow oxide, and UO 2 as that of Berzelius's metal.

    0
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  • In this process the purified ore is mixed with about one-fifth of its weight of a noncaking coal or anthracite smalls, the mixture being moistened to prevent it from being blown off by the draught, and is then fused on the sole of a reverberatory furnace for five or six hours.

    0
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  • With one-third its weight of water it forms the so-called "butter of tin."

    0
    0
  • The stigmas and a part of the style are carefully picked out, and the wet saffron is then scattered on sheets of paper to a depth of 2 or 3 in.; over this a cloth is laid, and next a board with a heavy weight.

    0
    0
  • No method has yet been devised by which the molecular weight can be ascertained.'

    0
    0
  • Guncottons are examined for degree of nitration by the nitrometer, in which apparatus they are decomposed by sulphuric acid in contact with mercury, and all the nitrogen is evolved as nitric oxide, NO, which is measured and the weight of its contained nitrogen calculated.

    0
    0
  • Its principal product is " papelon," or brown sugar, which is put on the market in the shape of small cylindrical and cubical masses of 14 to 31 lb weight.

    0
    0
  • The Prussians followed on the 29th, but, owing to the iie of the roads, they had to march in two long columns, separated by almost a day's march, and when the advanced guard of the left column, late in the afternoon, gained touch with the enemy, the latter were in a position to crush them by weight of numbers, had they not suddenly been ordered to continue the retreat on Miletin.

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  • The cod spawns in February, and is exceedingly prolific, the roe of a single female having been known to contain upwards of eight millions of ova, and to form more than half the weight of the entire fish.

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  • To do so a general enlargement takes place until it may reach the size and weight equal to the original pair.

    0
    0
  • The comparison of observations in various climates and peoples has had some weight; while in the better knowledge of their causes their treatment has found permanent advantage.

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  • This silence has been taken by some historians of weight to imply that London practically ceased to exist.

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  • Zumalacarregui had therefore to drag behind him the whole weight of the distrust and intrigues of the court.

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  • It is not desirable to leave large areas standing upon pillars in the mine, and as soon as the work on any level is completed the pillar below should be mined out as far as is safe, and the abandoned portion of the mine allowed to cave in and lessen the weight on the pillars elsewhere.

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  • On starting to hoist, the rope winds from the small towards the large end of the drum, the lever arm, or radius of the coils, increasing as the weight of Winding Engine.

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  • It is named the tractory, since a weight placed on the ground and drawn along by means of a flexible string by a person travelling in a straight line, the weight not being in this line, describes the curve in question.

    0
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  • Lumps of glass of approximately the right weight are chosen, and are heated to a temperature just sufficient to soften the glass, when the lumps are caused to assume the shape of moulds made of iron or fireclay either by the natural flow of the softened glass under gravity, or by pressure from suitable tools or presses.

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  • The mere act of coiling an exact weight of molten glass round the end of a rod 4 ft.

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  • The diameter of the cane or tube is regulated by the weight of glass carried, and by the distance covered by the two workmen.

    0
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  • This process is repeated, with slight modifications, until the gathering is of the proper size and weight to yield the sheet which is to be blown.

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    0
  • The size of cylinder which can be produced in this way depends chiefly upon the dimensions of the working platform and the weight which a man is able to handle freely.

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  • A sufficient weight of molten glass to form a bottle is gathered and placed in a funnel-shaped vessel which serves as a measure, and gives access to the mould which shapes the outside of the neck.

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    0
  • The mass of glass, yielding, to its own weight and the pressure of air or steam, sinks downwards and adapts itself to any mould or receptacle beneath it.

    0
    0
  • Rollers up to 5 tons in weight are employed and are now generally driven by power.

    0
    0
  • The atomic weight of silicon has been determined usually by analysis of the halide compounds or by conversion of the halides into silica.

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  • In this case the thrust at the lower end B must exceed the thrust at A, the upper end, by the weight of the prism of liquid; so that, denoting the cross section of the prism by a ft.

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  • For if the body is removed, and replaced by the fluid as at first, this fluid is in equilibrium under its own weight and the thrust of the surrounding fluid, which must be equal and opposite, and the surrounding fluid acts in the same manner when the body replaces the displaced fluid again; so that the resultant thrust of the fluid acts vertically upward through the centre of gravity of the fluid displaced, and is equal to the weight.

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  • When the body is floating freely like a ship, the equilibrium of this liquid thrust with the weight of the ship requires that the weight of water displaced is equal to the weight of the ship and the two centres of gravity are in the same vertical line.

    0
    0
  • So also a balloon begins to rise when the weight of air displaced is greater than the weight of the balloon, and it is in equilibrium when the weights are equal.

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    0
  • 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').

    0
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  • The resultant vertical thrust on any portion of a curved surface exposed to the pressure of a fluid at rest under gravity is the weight of fluid cut out by vertical lines drawn round the boundary of the curved surface.

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  • As the molten metal is run in, the upward thrust on the outside mould, when the level has reached PP', is the weight of metal in the volume generated by the revolution of APQ; and this, by a theorem of Archimedes, has the same volume as the cone ORR', or rya, where y is the depth of metal, the horizontal sections being equal so long as y is less than the radius of the outside FIG.

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  • Afterwards, when the metal has risen above B, to the level KK', the additional thrust is the weight of the cylinder of diameter KK' and height BH.

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    0
  • The stability of a ship is investigated practically by inclining it; a weight is moved across the deck and the angle is observed of the heel produced.

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    0
  • Provided the ship is designed to float upright at the smallest draft with no load on board, the stability at any other draft of water can be arranged by the stowage of the weight, high or low.

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  • The varying direction of the inclining couple Pc may be realized by swinging the weight P from a crane on the ship, in a circle of radius c. But if the weight P was lowered on the ship from a crane on shore, the vessel would sink bodily a distance P/wA if P was deposited over F; but deposited anywhere else, say over Q on the water-line area, the ship would turn about a line the antipolar of Q with respect to the confocal ellipse, parallel to FF', at a distance FK from F FK= (k2-hV/A)/FQ sin QFF' (2) through an angle 0 or a slope of one in m, given by P sin B= m wA FK - W'Ak 2V hV FQ sin QFF', (3) where k denotes the radius of gyration about FF' of the water-line area.

    0
    0
  • But the presence of the medium makes the effective inertia depend on the direction of motion with respect to the external shape of the body, and on W' the weight of fluid medium displaced.

    0
    0
  • The passage, thus interpreted, lends additional weight to the correctness of Dr Ethe's reconstruction of the date of the Rushanainama, viz.

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    0
  • The superscription shows points of connexion with the Rest of the Words of Baruch, but little weight can be attached to the fact, since titles and superscriptions were so frequently transformed and expanded in ancient times.

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  • The canes in each case are assumed to contain 88% of juice and 12% of fibre, and the extraction by milling to be 75% of the weight of canes - the evaporative power of the factory being equal to 622 tons per 24 hours.

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  • In India at the present day there are thousands of small mills worked by hand, through which extraction the peasant cultivators pass their canes two or three at a time, squeezing them a little, and extracting per haps a fourth of their weight in juice, from which they make a substance resembling a dirty sweetmeat rather than sugar.

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  • In the best organized modern cane sugar estates as much as 122% of the weight of the canes treated is obtained in crystal sugar of high polarizing power, although in Louisiana, where cultivation and manufacture are alike most carefully and admirably carried out, the yield in sugar is only about 7% of the weight of the canes, and sometimes, but seldom, as much as 9%.

    0
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  • Whatever pressure be brought to bear upon it, the vegetable or woody fibre of crushed sugar-canes will hold and retain for the from moment a quantity of moisture equal to its own weight, Yield .

    0
    0
  • The percentages are percentages of the original weight of the uncrushed canes.

    0
    0
  • The megass coming from the first mill was saturated with steam and water, in weight equal to between 20% and 30% and up to 40% of the original weight of the uncrushed canes.

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  • All their endeavours have obtained at best but a doubtful success, for they have overlooked the fact that to evaporate a given weight of water from the syrup in a vacuum pan at least an equal weight (or in practice about 15% more) of steam must be condensed, and the first cost of mechanical agitators, together with the expenditure they involve for motive power and maintenance, must be put against the slight saving in the heating surface effected by their employment.

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  • At the present day, thanks to the careful study of many years, the improvements of cultivation, the careful selection of seed and suitable manuring, especially with nitrate of soda, the average beet worked up contains 7% of fibre and 93% of juice, and yields in Germany 12.79% and in France 11.6% of its weight in sugar.

    0
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  • The average weight per acre was over 252 tons, and the mean percentage of pure sugar in the juice exceeded Isl.

    0
    0
  • The weight per acre, the saccharine contents of the juice, and the quotient of purity compared favourably with the best results obtained in Germany or France, and with those achieved by the Suffolk farmers, who between 1868 and 1872 supplied Mr Duncan's beetroot sugar factory at Lavenham; for the weight of their roots rarely reached 15 tons per acre, and the percentage of sugar in the juice appears to have varied between 10 and 12.

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  • These latter pass to automatic weighing machines, which drop them, in quantities of 1 cwt., into wooden boxes of uniform measurement, made to contain that weight; and the boxes are then conveyed to the storehouse, ready for sale.

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    0
  • The tapeworm, Taenia saginata, throws off eleven proglottides a day during its mature stage, and if this rate of increase were maintained for a year the total weight of its progeny would be about 550 grammes.

    0
    0
  • Truth varies infinitely under circumstances whose relative weight cannot be accurately gauged.

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    0
  • Pure carbonate of lime when heated loses 44% of its weight, the decrease being due to the loss of carbon dioxide gas.

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    0
  • The former contains a mixture of semi-solid and molten metal, which is raked out into iron ladles and cast into plates of 66 to 77 lb weight, to be sold as "spelter."

    0
    0
  • It dissolves in a fraction of its weight of even cold water, forming a syrupy solution.

    0
    0
  • In the wheeled plough some of the weight and downward pull due to its action on the ground is taken by the wheels; the sliding friction is thus to some extent converted into a rolling friction, and the draught is correspondingly diminished.

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    0
  • The weight of these implements necessitates some provision for turning them at the headlands, and this is supplied either by a bowl wheel, enabling the plough to be turned on one side, or by a pair of wheels cranked so that they can be raised by a lever when the plough is working.

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  • His right to exact military, financial and judicial duties for the state he had used to force men to become his dependants, and then he had stood between them and the state, freeing them from burdens which he threw with increased weight upon those who still stood outside his personal protection.

    0
    0
  • The affairs of the tribe are administered by the sheiks, or heads of clans and families; the position of sheik in itself gives no real governing power, his word and counsel carry weight, but his influence depends on his own personal qualities.

    0
    0
  • A better method is Wohler's, in which the finely powdered mineral is fused with twice its weight of potassium carbonate in a platinum crucible, the melt powdered and treated in a platinum basin with aqueous hydrofluoric acid.

    0
    0
  • The monetary unit is the Peruvian pound (libra) which is uniform in weight and fineness with the British pound sterling.

    0
    0
  • P 1 greater than P2, if the molecular weight of A be much less than that of B, then it is obvious that the ratio M 1 P 1 /M 2 P 2 need not be very great, and hence the less volatile liquid B would come over in fair amount.

    0
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  • These con-, ditions pertain in cases where distillation with steam is successfully practised, the relatively high volatility of water being counterbalanced by the relatively high molecular weight of the other component; for example, in the case of nitrobenzene and water the ratio is I to 5.

    0
    0
  • The Austrian advanced guard engaged at daybreak, and the French in Telnitz made a vigorous defence; both parties were reinforced, and Legrand drew upon himself, in fulfilling his mission, the whole weight of the allied attack.

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  • We have people whose tread was so light that no blade of grass bent beneath their weight.

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    0
  • Oppressed by the weight of his crimes, he summoned the unyielding prior to shrive his soul.

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    0
  • Black showed that on the contrary causticization meant the loss of something, as proved by loss of weight; and this something he found to be an "air," which, because it was fixed in the substance before it was causticized, he spoke of as "fixed air."

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  • Taking magnesia alba, which he distinguished from limestone with which it had previously been confused, he showed that on being heated it lost weight owing to the escape of this fixed air (named carbonic acid by Lavoisier in 1781), and that the weight was regained when the calcined product was made to reabsorb the fixed air with which it had parted.

    0
    0
  • The censers or thuribles in Christian usage have been specially adapted to be swung, though there are in existence many early specimens of heavy weight and made of gold or silver which were obviously not meant to be used in this way and have handles and not chains.

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  • The word Morashtite (Morashti) was therefore obscure to them; but this only gives greater weight to the traditional pronunciation with o in the first syllable, which is as old as the LXX., and goes against the view, taken by the Targum both on Micah and on Jeremiah, and followed by some moderns (including Cheyne, E.B., 3198), that Micah came from Mareshah.

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  • His death in October 1633 put an end to the RussoPolish War (1632-33), withdrawing the strongest prop from an executive feeble enough even when supported by all the weight of his authority.

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    0
  • Now one of the cardinal rules of politeness is to avoid burdening a stranger with the weight of ones own woes.

    0
    0
  • As to which of the first two methods of pronunciation had chronological precedence, the weight of opinion is that the ken came later than the go.

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  • It would seem that only the immense weight of the roofs and their heavy projections prevent a collapse of some of these structures in high winds.

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  • He said "It seems easier to talk of such a machine than to put it into actuality, for it requires greater force and less weight than exists in a human body.

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  • When the Seven Days' battle began Porter's corps had to sustain alone the full weight of the Confederate attack, and though defeated in the desperately fought battle of Gaines's Mill (June 27, 1862) the steadiness of his defence was so conspicuous that he was immediately promoted major-general of volunteers and brevet origadiergeneral U.S.A. His corps, moreover, had the greatest share in the successful battles of Glendale and Malvern Hill.

    0
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  • This is the case with the copper-tin alloys containing less than 9% by weight of tin; a microscopic examination reveals only one material, a copper-like substance, the tin having disappeared, being in solution in the copper.

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  • The treatises have been classified according to (I) the direct evidence of ancient writers, (2) peculiarities of style and method, and (3) the presence of anachronisms and of opinions opposed to the general Hippocratic teaching - greatest weight being attached to the opinions of Erotian and Galen.

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  • The quantity of alcohol present in an aqueous solution is determined by a comparison of its specific gravity with standard tables, or directly by the use of an alcoholometer, which is a hydrometer graduated so as to read per cents by weight (degrees according to Richter) or volume per cents (degrees according to Tralles).

    0
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  • The unit of mechanical force in the " centimetre, gramme, second " (C.G.S.) system of units is the dyne, which is approximately equal to 1/981 part of the weight of one gramme.

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    0
  • The atomic weight of gold was first determined with accuracy by Berzelius, who deduced the value 195.7 (H= i) from the amount of mercury necessary to precipitate it from the chloride, and 195.2 from the ratio between gold and potassium chloride in potassium aurichloride, KAuC1 4.

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  • Pliny shows that for this purpose the gold was placed on the fire in an earthen vessel with treble its weight of salt, and that it was afterwards again exposed to the fire with two parts of salt and one of argillaceous rock, which, in the presence of moisture, effected the decomposition of the salt; by this means the silver became converted into chloride.

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  • Another process consists in treating a mixture of the residue with one-quarter of its weight of calcined sodium sulphate with sulphuric acid, the residue being finally boiled with a large quantity of acid.

    0
    0
  • These strata are generally impregnated with salt water, and are practically impenetrable to the rain-water of less weight.

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    0
  • The laws of Justinian are still the basis of the common law, the Code of Rohan is not altogether abrogated, and considerable weight is still given to the Roman Canon Law.

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  • It seems also that the charge would increase with the atomic weight of the element.

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  • Against the weight of French numbers, nearly three to one, the Prussians were unable to stand, and presently they broke and drifted backwards, completely routed.

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  • He determined the "elastic curve," which is formed by an elastic plate or rod fixed at one end and bent by a weight applied to the other, and which he showed to be the same as the curvature of an impervious sail filled with a liquid (lintearia).

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  • It is true that states which have accepted the intervention of a mediator remain free to adopt or reject any advice he may give, but the advice of a disinterested power must always add considerable moral weight to the side towards which it inclines.

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    0
  • The density gives very important information as to the molecular weight, since by the law of Avogadro it is seen that the relative density is the ratio of the molecular weights of the experimental and standard gases.

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    0
  • Thus if d be the relative density, then Iod represents the weight of a gallon in lb.

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    0
  • In the group where the principles of hydrostatics are not employed the method consists in determining the weight and volume of a certain quantity of the substance, or the weights of equal volumes of the substance and of the standard.

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  • The weight may be directly determined by the balance.

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    0
  • The ratio "weight to volume" is the absolute density.

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  • Calling the weight of the empty vessel w, when filled with the liquid W, and when filled with the standard substance W l, it is obvious that W - w, and W1 - w, are the weights of equal volumes of the liquid and standard, and hence the relative density is (W - w)/(Wi - w).

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  • It is readily seen that W+W i - W 2 is the weight of the liquid displaced by the solid, and therefore is the weight of an equal volume of liquid; hence the relative density is W/(W+Wi - W2).

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  • This subject owes its importance in modern chemistry to the fact that the vapour density, when hydrogen is taken as the standard, gives perfectly definite information as to the molecular condition of the compound, since twice the vapour density equals the molecular weight of the compound.

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  • To complete the experiment, the graduated tube containing the expelled air is brought to a constant and determinate temperature and pressure, and this volume is the volume which the given weight of the substance would occupy if it were a gas under the same temperature and pressure.

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    0
  • If W be the weight in air, and W, the weight in water, then W, is always less than W, the difference W - W1 representing the weight of the water displaced, i.e.

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  • The principle is readily adapted to the determination of the relative densities of two liquids, for it is obvious that if W be the weight of a solid body in air, W, and W2 its weights when immersed in the liquids, then W - W, and W - W 2 are the weights of equal volumes of the liquids, and therefore the relative density is the quotient (W - W,)/(W - W2).

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  • If W be the weight of the experimental solid in air, w the weight of the sinker in water, and W, the weight of the solid plus sinker in water, then the relative density is given by W/(W+w - Wi).

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  • The weighing is conducted in the usual way by vibrations, except when the weight be small; it is then advisable to bring the pointer to zero, an operation rendered necessary by the damping due to the adhesion of water to the fibre.

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  • If a drop of water be allowed to form at the extremity of a fine tube, it will go on increasing until its weight overcomes the surface tension by which it clings to the tube, and then it will fall.

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  • What is most remarkable in it is his concentrated effort to realize the exact political weight of the German nation, and to penetrate the causes of its strength and weakness.

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    0
  • A considerable amount of work has been done on determinations of the atomic weight of tellurium, the earlier results giving the value 128.

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  • The weight of the handles and their supports is balanced by the counterpoise z.

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  • He spliced together all the sounding-lines on board, rightly said that since the days of Columbus and Magellan no and with a weight of 1501b attached he found bottom in 683 such revelation regarding the surface of our planet had been fathoms and secured a sample of fine soft blue mud.

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  • Brooke, a midshipman of the U.S.N., invented the principle on the " Valdivia " in 1898-1899, and to those of the " Belgica " already foreshadowed by Nicolaus Cusanus in the 15th century in 1897-1898, the " Gauss " in 1902-1903, and the " Scotia " and by Robert Hooke in the 17th, of using a heavy weight so in 1903-1904.

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  • A simpler form of collector, now almost universally used, is a plain brass tube which is driven into the bottom of the sea by the weight of the sounding lead, and in which the deposit may be retained by a valve or other contrivance, though in many cases friction alone suffices to hold the punched-out core.

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  • Sorensen and Martin Knudsen after a careful investigation decided to abandon the old definition of salinity as the sum of all the dissolved solids in sea-water and to substitute for it the weight of the dissolved solids in 1000 parts by weight of sea-water on the assumption that all the bromine is replaced by its equivalent of chlorine, all the carbonate converted into oxide and the organic matter burnt.

    0
    0
  • According to Knudsen the salinity is given in weight per thousand parts by the expression S = o 030+ I.

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  • Buchanan, which has an arbitrary scale and can be varied in weight by placing small metal rings on the stem so as to depress the scale to any desired depth in sea-water of any salinity, the specific gravity being calculated for each reading by dividing the total weight by the immersed volume; (3) the total immersion areometer, which has no scale and the weight of which can be adjusted so that the instrument can be brought so exactly to the specific gravity of the water sample that it remains immersed, neither floating nor sinking; this has the advantage of 'eliminating the effects of surface tension and in Fridtjof Nansen's pattern is capable of great precision.

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  • The importance of the osmotic pressure of sea-water in biology will be easily understood from the fact that a frog placed in sea-water loses water by exosmosis and soon becomes 20% lighter than its original weight, while a true salt-water fish suddenly transferred to fresh water gains water by endosmosis, swells up and quickly succumbs.

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  • The first form of slip water-bottle due to Meyer retained the water merely by the weight of the cylinder pressing on the base-plate.

    0
    0
  • Buchanan introduced an improved form on the " Challenger," also remaining closed by weight, the cylinder being very heavy and ground to fit the bevelled base-plate very accurately.

    0
    0
  • By means of a weight dropped along the line the water-bottle can be shut and a sample enclosed at any desired depth.

    0
    0
  • The use of a sliding weight is not recommended in depths much exceeding 200 fathoms on account of the time required and the risk of the line sagging at a low angle and so stopping the weight.

    0
    0
  • For shallow water greater precision and certainty are obtained by using a lever actuated by a weight slipped down the line to cause the reversal, as in the patterns of Rung, Mill and others.

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  • She was young, a foreigner, a member of a state that had almost no weight in the great world of politics, had not given any proof of great ability, and was thrown into the shade by more important persons.

    0
    0
  • The loss of weight by exposure to the atmosphere from drying may be from z to I of the total amount of water contained.

    0
    0
  • The whole weight of the tubbing is made to bear on the moss, which squeezes outwards, forming a completely water-tight joint.

    0
    0
  • The weight is about 15 cwt.

    0
    0
  • The rails used are of flat bottomed or bridge section varying in weight from 15 to 25 lb to the yd.; they are laid upon cross sleepers in a temporary manner, so that they can be easily shifted along the working faces, but are carefully secured along main roads intended to carry traffic continuously for some time.

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  • This is done by passing a loop at the upper end round a pulley mounted in a travelling frame, to which is attached a weight of about 15 cwt.

    0
    0
  • This weight pulls directly against the rope; so if the latter slacks, the weight pulls out the pulley frame and tightens it up again.

    0
    0
  • They were formerly used on a very large scale in Belgium and South Wales, but the great weight of the moving parts makes it impossible to drive them at the high speed called for by modern requirements, so that centrifugal fans are now generally adopted instead.

    0
    0
  • In Belgium and the north of France flat ropes of aloe fibre (Manila hemp or plantain fibre) are in high repute, being considered preferable by many colliery managers to wire, in spite of their great weight.

    0
    0
  • For flat ropes the drum or bobbin consists of a solid disk, of the width of the rope fixed upon the shaft, with numerous parallel pairs of arms or horns, arranged radially on both sides, the space between being just sufficient to allow the rope to enter and coil regularly upon the preceding lap. This method has the advantage of equalizing the work of the engine throughout the journey, for when the load is greatest, with the full cage at the bottom and the whole length of rope out, the duty required in the first revolution of the engine is measured by the length of the smallest circumference; while the assistance derived from gravitating action of the descending cage in the same period is equal to the weight of the falling mass through a height corresponding to the length of the largest lap, and so on, the speed being increased as the weight diminishes, and vice versa.

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  • The great size and weight of such drums are also disadvantages, as giving rather unmanageable dimensions in a very deep pit.

    0
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  • In Koepe's method the drum is replaced by a disk with a grooved rim for the rope, which passes from the top of one cage over the guide pulley, round the disk, and back over the second guide to the second cage, and a tail rope, passing round a pulley at the bottom of the shaft, connects the bottoms of the cages, so that the dead weight of cage, tubs and rope is completely counterbalanced at all positions of the cages, and the work of the engine is confined to the useful weight of coal raised.

    0
    0
  • The atomic weight of caesium has been determined by the analysis of its chloride and bromide.

    0
    0
  • They derive their name of Tylopoda ("boss-footed") from the circumstance that the feet form large cushion-like pads, supporting the weight of the body, while the toes have broad nails on their upper surface only, instead of being encased in hoofs.

    0
    0
  • A good working mixture of these materials may be taken as being loo parts by weight of lime with 68 parts c arbide.

    0
    0
  • The rehabilitation of the Ignatian letters in modern times has, however, practically destroyed the attack on the Epistles of Polycarp. The external evidence in its favour is of considerable weight.

    0
    0
  • He brought the whole weight of his party to bear in favour, first of the Parliament bill, and afterwards of the Home Rule bill.

    0
    0
  • A weight is moved along the arm of one of the beams until it just keeps the brake steady midway between the stops which must be provided to hold it when the weight fails to do so.

    0
    0
  • 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.

    0
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  • This theory was supported by the French physician Jean Ray, who showed also that in the cases of tin and lead there was a limit to the increase in weight.

    0
    0
  • Tradition reports that this pamphlet had considerable weight in determining the ministry to retain Canada.

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    0
  • They only succumbed when the weight of the archduke Maximilian was thrown into the scale against them (1484).

    0
    0
  • Though the vast ultimate consequences of this sudden appearance of the great western republic in the arena of international politics were not realized even by those in sympathy with Monroe's action, the weight of the United States thrown into the scale on the side of Great Britain made any effective protest by the European powers impossible; Russia, Austria and Prussia contented themselves with joining in a mild expression of regret that the action of Great Britain "tended to encourage that revolutionary spirit it had been found so difficult to control in Europe."

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  • Thereafter, whatever befell, the allied armies would resolutely press forward towards Paris, affording each other mutual support, and with the tremendous weight of troops at their disposal thrust back Napoleon upon his capital, force him to fight in front of it, and drive him when defeated within its works.

    0
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  • Thielemann was at length overborne by sheer weight of numbers, and towards II A.M.

    0
    0
  • If the conditions are such that the methods of § 61 cannot be used, or are undesirable as giving too much weight to particular ordinates, it is best to proceed in the manner indicated at the end of § 48; i.e.

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  • Coins are pieces of metal, of weight and composition fixed by law, with a design upon them, also fixed by law, by which they are identified, their value made known and their genuineness certified.

    0
    0
  • Minting by means of a falling weight (monkey press) intervened between the hand hammers and the screw press in many places.

    0
    0
  • The lowest current weight is 1 22.5 grains for sovereigns and 61.125 grains for half-sovereigns corresponding to losses by wear of about o.

    0
    0
  • The average deficiency in weight of worn silver coin received at the Mint is from 8 to 10%, and the mean age somewhat less than 50 years.

    0
    0
  • If the weight of the blank is slightly below the standard weight, a somewhat larger cutter is used, so that the blanks may be of correct weight.

    0
    0
  • The degree of accuracy required is indicated by the " remedy " allowance for weight, which is different for each coin, and is the maximum difference from the standard weight which is allowed by law.

    0
    0
  • As the mean thickness of a sovereign is 0.0466 in., the remedy for weight corresponds to a difference of less than in.

    0
    0
  • The remedies for weight on foreign coins are in general greater than those allowed in the British Empire, averaging 2 per moo for gold coins.

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  • For mint use it is necessary that they shall distinguish between " light," " heavy " and " good " coins which do not differ from standard by more than the small weight known as the " remedy " (see above).

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  • If the coin is heavier than the lowest legal weight (that is, the standard weight less the remedy) the righthand side of the beam begins to fall and the left-hand one is raised.

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  • This movement proceeds until the stirrup L below the left-hand hanger is raised far enough to touch the rod M, which is equal in weight to twice the remedy.

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  • The movement is then stopped provided that the weight of the coin is not greater than the standard weight plus the remedy.

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  • Each slot leads into a separate compartment and the coins are consequently sorted into three classes, light, correct weight and heavy.

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  • 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.

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  • Since 1870 no adjusting of the weight of coins has been attempted at the Royal Mint.

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  • Some metal from the surface of each blank then passes into solution, and the blanks are reduced in weight with remarkable uniformity.

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  • The weight of Turkish resistance lay in Eastern Thrace, concentrated there for the defence of the capital and the straits.

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  • Although the government of which he thus became a member held office for only ten months, being placed in a hopeless minority on making an appeal to the country, Macdonald from this time forward took a position of constantly increasing weight in his party.

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  • The most remarkable chapters, in which St Benedict's wisdom stands out most conspicuously, are those on the abbot (2, 3, 2 7, 64) The abbot is to govern the monastery with full and unquestioned patriarchal authority; on important matters he must consult the whole community and hear what each one, even the youngest, thinks; on matters of less weight he should consult a few of the elder monks; but in either case the decision rests entirely with him, and all are to acquiesce.

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  • One remarkable tetradrachm with the Sabaean legend Abyath'a is imitated from an Alexander of the 2nd century B.C., the execution being quite artistic and the weight Attic. There are also coins struck at Raydan and Harib, which must be assigned to the Himyarite period (1st and 2nd century A.D.).

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  • Though he had thrown the weight of his influence against Lord Carnarvon's federation scheme Brand disapproved racial rivalries.

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  • And at last, after every other point 203- had been attempted, the weight of the attack was directed on 203-Metre Hill.

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  • The continuity permits economy of weight.

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  • The larger the bridge, the more important is economy of material, not only because the total expenditure is more serious, but because as the span increases the dead weight of the structure becomes a greater fraction of the whole load to be supported.

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  • In fact, as the span increases a point is reached at which the dead weight of the superstructure becomes so large that a limit is imposed to any further increase of span.

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  • It was not strong enough to deal with the increasing weight of railway traffic. In 1836 I.

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  • Rankine proved (Applied Mechanics, p. 370) that the necessary strength of a stiffening girder would be only one-seventh part of that of an independent girder of the same span as the bridge, suited to carry the same moving load (not including the dead weight of the girder which is supported by the chain).

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  • With pin connexions some weight is saved in the girders, and erection is a little easier.

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  • The vertical sides of the girders are stiffened so that they amount to 40% of the whole weight.

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  • The total weight of iron and steel in three spans was about 5000 tons.

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  • 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.

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  • This is due to the half weight of centre girder, the weight of the cantilever itself, the rolling load on half the bridge, and the wind pressure.

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  • The total weight of ironwork was 3200 tons and the cost X124,000 (Annales des travaux publiques, 1884).

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  • The weight of ballast in the short arms of the bascules is 365 tons.

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  • The weight of each leaf including ballast is about 1070 tons.

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  • It must have strength to support safely its own overhanging weight 33.

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  • The end lifts which transfer the weight of the bridge to the piers when the span is closed consist of massive eccentrics having a throw of 4 in.

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  • The displacement of each pontoon is 180 tons and its weight 22 tons.

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  • Soft steel is used for rivets always, and sometimes for the whole superstructure of a bridge, but medium steel more generally for the plates, angle bars, &c., the weight of the bridge being then reduced by about 7% for a given factor of safety.

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  • If w is the weight of a locomotive in tons, r the radius of curvature of the track, v the velocity in feet per sec.; then the horizontal force exerted on the bridge is wv 2 /gr tons.

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  • But in recent times the weight of traction engines and wagons which pass over bridges has increased, and this kind of load generally produces greater straining action than a crowd of people.

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  • Live Load on Railway Bridges.-The live load is the weight of the heaviest train which can come on the bridge.

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  • Dead Load.-The dead load consists of the weight of main girders, flooring and wind-bracing.

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  • It is generally reckoned to be uniformly distributed, but in large spans the distribution of weight in the main girders should be calculated and taken into account.

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  • The weight of the bridge flooring depends on the type adopted.

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  • In railway bridges the weight of sleepers, rails, &c., is 0.2 to 0.25 tons per ft.

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  • The weight of main girders increases with the span, and there is for any type of bridge a limiting span beyond which the dead load stresses exceed the assigned limit of working stress.

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  • Let k(Wt+Wf) be the weight of main girders designed to carry We+Wf, but not their own weight in addition.

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  • Since in designing a bridge W1-l-Wt is known, k(W1+Wf) can be found from a provisional design in which the weight W 2 is neglected.

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  • The loads at D', E, due to unit weight on the rail girder are (p-n)/p and n/p. The reaction at B' is {(p- n)xi+n(xi+p)}' /pi.

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  • A frame used to support a weight is often called a truss; the stresses on the various members of a truss can be computed for any given load with greater accuracy than the intensity of stress on the various parts of a continuous structure such as a tubular girder, or the rib of an arch.

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  • The weight load was pushing downwards, causing pressure on the strut.

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  • The true catenary is that assumed by a chain of uniform weight per unit of length, but the form generally adopted for suspension bridges is that assumed by a chain under a weight uniformly distributed relatively to a horizontal line.

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  • He is described as a quiet, kindly, dignified man, honest of purpose, but unfitted by his advanced age and temperament, as well as by feeble health, to bear the weight of empire.

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  • There, again, a conflict between the two houses was imminent, and the queen's wish for a settlement had considerable weight in bringing about the curious but effective conference of the two parties, of which the first suggestion, it is believed, was due to Lord Randolph Churchill.

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  • Some cavils have been made against his French, but none of much weight or importance.

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