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The second plan of boring by means of a bar mounted on points or centres is one by which the greatest accuracy is attainable; it is like chuck-boring a lathe operation, and [138] one for which no better machine than a lathe has been devised, at least for the smaller kinds of work. It is a problem whether in ordinary machine fitting there is not a gain by performing all boring in this manner whenever the rigidity of boring bars is sufficient without auxiliary supports, and when the bars can pass through the work. Machines arranged for this kind of boring can be employed in turning or boring as occasion may require.

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"Did you ever put me in it?" Bruce asked gravely.21Maitrank plunged his hands into his pockets.
ONE:As might be expected, the Parmenidean paradoxes provoked a considerable amount of contradiction and ridicule. The Reids and Beatties of that time drew sundry absurd consequences from the new doctrine, and offered them as a sufficient refutation of its truth. Zeno, a young friend and20 favourite of Parmenides, took up arms in his masters defence, and sought to prove with brilliant dialectical ability that consequences still more absurd might be deduced from the opposite belief. He originated a series of famous puzzles respecting the infinite divisibility of matter and the possibility of motion, subsequently employed as a disproof of all certainty by the Sophists and Sceptics, and occasionally made to serve as arguments on behalf of agnosticism by writers of our own time. Stated generally, they may be reduced to two. A whole composed of parts and divisible ad infinitum must be either infinitely great or infinitely little; infinitely great if its parts have magnitude, infinitely little if they have not. A moving body can never come to the end of a given line, for it must first traverse half the line, then half the remainder, and so on for ever. Aristotle thought that the difficulty about motion could be solved by taking the infinite divisibility of time into account; and Coleridge, according to his custom, repeated the explanation without acknowledgment. But Zeno would have refused to admit that any infinite series could come to an end, whether it was composed of successive or of co-existent parts. So long as the abstractions of our understanding are treated as separate entities, these and similar puzzles will continue to exercise the ingenuity of metaphysicians. Our present business, however, is not to solve Zenos difficulties, but to show how they illustrate a leading characteristic of Greek thought, its tendency to perpetual analysis, a tendency not limited to the philosophy of the Greeks, but pervading the whole of their literature and even of their art. Homer carefully distinguishes the successive steps of every action, and leads up to every catastrophe by a series of finely graduated transitions. Like Zeno, again, he pursues a system of dichotomy, passing rapidly over the first half of his subject, and relaxes the speed of his narrative by going into ever-closer detail until the consummation is reached. Such a poem as the Achilleis of modern critics21 would have been perfectly intolerable to a Greek, from the too rapid and uniform march of its action. Herodotus proceeds after a precisely similar fashion, advancing from a broad and free treatment of history to elaborate minuteness of detail. So, too, a Greek temple divides itself into parts so distinct, yet so closely connected, that the eye, after separating, as easily recombines them into a whole. The evolution of Greek music tells the same tale of progressive subdivision, which is also illustrated by the passage from long speeches to single lines, and from these again to half lines in the dialogue of a Greek drama. No other people could have created mathematical demonstration, for no other would have had skill and patience enough to discover the successive identities interposed between and connecting the sides of an equation. The dialectic of Socrates and Plato, the somewhat wearisome distinctions of Aristotle, and, last of all, the fine-spun series of triads inserted by Proclus between the superessential One and the fleeting world of sense,were all products of the same fundamental tendency, alternately most fruitful and most barren in its results. It may be objected that Zeno, so far from obeying this tendency, followed a diametrically opposite principle, that of absolutely unbroken continuity. True; but the Eleatic Palamedes fought his adversaries with a weapon wrested out of their own hands; rejecting analysis as a law of real existence, he continued to employ it as a logical artifice with greater subtlety than had ever yet been displayed in pure speculation.18

THREE:For the life of him Bruce could not say. It was absurd to suppose that by some mistake the Bank of England had issued two sets of notes of the same series of numbers. There was no mistake about the murdered man's letter either.
FORE:"Why should I deny it?" Leona said boldly. "My husband was murdered. He was slain by Dr. Gordon Bruce for the sake of his money."

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FORE:I did not want to witness that second attack, and, after thanking the officer, resumed my journey along the canal-road to Lige.Near Herstal the Germans were crossing by the large bridge, which the Belgians had preserved to their own disadvantage.

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TWO:They all became excited whenever I mentioned the accusations brought against them. They asserted with the greatest emphasis that it was an absolute lie that the civilians had shot. "Even if they torture me to death," said most of them, "I'll still contend that this accusation is untrue."Defined and ordered by Equality;
THREE:When I reported the occurrence in De Tijd, I was fully conscious of the frightful accusation implied by my information; but I am prepared to confirm with the most sacred oaths that nothing in this accusation is untrue or exaggerated."Lies, gossip."
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THREE:Prout grew wooden. His official manner caused Leona to hide a smile. Really, it would be child's play to get the better of this man.
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THREE:The following propositions will place this subject of aims and objects before the reader in the sense intended:

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THREE:It remains for us to glance at the controversy which has long been carried on respecting the true position of the Sophists in Greek life and thought. We have already alluded to the by no means favourable judgment passed on them by some among their contemporaries. Socrates condemned them severely,H but only because they received payment for their lessons; and the sentiment was probably echoed by many who had neither his disinterestedness nor his frugality. To make profit by intellectual work was not unusual in Greece. Pheidias sold his statues; Pindar spent his life writing for money; Simonides and Sophocles were charged with showing too great eagerness in the pursuit of gain.75 But a mans conversation with his friends had always been gratuitous, and the novel idea of charging a high fee for it excited considerable offence. Socrates called it prostitutionthe sale of that which should be the free gift of lovewithout perhaps sufficiently considering that the same privilege had formerly been purchased with a more dishonourable price. He also considered that a freeman was degraded by placing himself at the beck and call of another, although it would appear that the Sophists chose their own time for lecturing, and were certainly not more slaves than a sculptor or poet who had received an order to execute. It was also argued that any one who really succeeded in improving the104 community benefited so much by the result that it was unfair on his part to demand any additional remuneration. Suppose a popular preacher were to come over from New York to England, star about among the principal cities, charging a high price for admission to his sermons, and finally return home in possession of a handsome fortune, we can well imagine that sarcasms at the expense of such profitable piety would not be wanting. This hypothetical case will help us to understand how many an honest Athenian must have felt towards the showy colonial strangers who were making such a lucrative business of teaching moderation and justice. Plato, speaking for his master but not from his masters standpoint, raised an entirely different objection. He saw no reason why the Sophists should not sell their wisdom if they had any wisdom to sell. But this was precisely what he denied. He submitted their pretensions to a searching cross-examination, and, as he considered, convicted them of being worthless pretenders. There was a certain unfairness about this method, for neither his own positive teaching nor that of Socrates could have stood before a similar test, as Aristotle speedily demonstrated in the next generation. He was, in fact, only doing for Protagoras and Gorgias what they had done for early Greek speculation, and what every school habitually does for its predecessors. It had yet to be learned that this dissolving dialectic constitutes the very law of philosophical progress. The discovery was made by Hegel, and it is to him that the Sophists owe their rehabilitation in modern times. His lectures on the History of Philosophy contain much that was afterwards urged by Grote on the same side. Five years before the appearance of Grotes famous sixty-seventh chapter, Lewes had also published a vindication of the Sophists, possibly suggested by Hegels work, which he had certainly consulted when preparing his own History. There is, however, this great difference, that while the two English critics endeavour to minimise the105 sceptical, innovating tendency of the Sophists, it is, contrariwise, brought into exaggerated prominence by the German philosopher. We have just remarked that the final dissolution of Sophisticism was brought about by the separate development given to each of the various tendencies which it temporarily combined. Now, each of our three apologists has taken up one of these tendencies, and treated it as constituting the whole movement under discussion. To Hegel, the Sophists are chiefly subjective idealists. To Lewes, they are rhetoricians like Isocrates. To Grote, they are, what in truth the Sophists of the Roman empire were, teachers representing the standard opinions of their age. Lewes and Grote are both particularly anxious to prove that the original Sophists did not corrupt Greek morality. Thus much has been conceded by contemporary German criticism, and is no more than was observed by Plato long ago. Grote further asserts that the implied corruption of morality is an illusion, and that at the end of the Peloponnesian war the Athenians were no worse than their forefathers who fought at Marathon. His opinion is shared by so accomplished a scholar as Prof. Jowett;76 but here he has the combined authority of Thucydides, Aristophanes, and Plato against him. We have, however, examined this question already, and need not return to it. Whether any of the Sophists themselves can be proved to have taught immoral doctrines is another moot point. Grote defends them all, Polus and Thrasymachus included. Here, also, we have expressed our dissent from the eminent historian, whom we can only suppose to have missed the whole point of Platos argument. Lewes takes different106 ground when he accuses Plato of misrepresenting his opponents. It is true that the Sophists cannot be heard in self-defence, but there is no internal improbability about the charges brought against them. The Greek rhetoricians are not accused of saying anything that has not been said again and again by their modern representatives. Whether the odium of such sentiments should attach itself to the whole class of Sophists is quite another question. Grote denies that they held any doctrine in common. The German critics, on the other hand, insist on treating them as a school with common principles and tendencies. Brandis calls them a number of men, gifted indeed, but not seekers after knowledge for its own sake, who made a trade of giving instruction as a means for the attainment of external and selfish ends, and of substituting mere technical proficiency for real science.77 If our account be the true one, this would apply to Gorgias and the younger rhetoricians alone. One does not precisely see what external or selfish ends were subserved by the physical philosophy which Prodicus and Hippias taught, nor why the comprehensive enquiries of Protagoras into the conditions of civilisation and the limits of human knowledge should be contemptuously flung aside because he made them the basis of an honourable profession. Zeller, in much the same strain, defines a Sophist as one who professes to be a teacher of wisdom, while his object is individual culture (die formelle und praktische Bildung des Subjekts) and not the scientific investigation of truth.78 We do not know whether Grote was content with an explanation which would only have required an unimportant modification of his own statements to agree precisely with them. It ought amply to have satisfied Lewes. For ourselves, we must confess to caring very little whether the Sophists investigated truth for its own sake or as a means to self-culture. We believe, and in the next chapter we hope107 to show, that Socrates, at any rate, did not treat knowledge apart from practice as an end in itself. But the history of philosophy is not concerned with such subtleties as these. Our contention is that the Stoic, Epicurean, and Sceptical schools may be traced back through Antisthenes and Aristippus to Hippias and Protagoras much more directly than to Socrates. If Zeller will grant this, then he can no longer treat Sophisticism as a mere solvent of the old physical philosophy. If he denies it, we can only appeal to his own history, which here, as well as in our discussions of early Greek thought, we have found more useful than any other work on the subject. Our obligations to Grote are of a more general character. We have learned from him to look at the Sophists without prejudice. But we think that he, too, underrates their far-reaching intellectual significance, while his defence of their moral orthodoxy seems, so far as certain members of the class are concerned, inconsistent with any belief in Platos historical fidelity. That the most eminent Sophists did nothing to corrupt Greek morality is now almost universally admitted. If we have succeeded in showing that they did not corrupt but fruitfully develop Greek philosophy, the purpose of this study will have been sufficiently fulfilled.We first drove through the suburb Montigny-sur-Sambre, which shared the fate of Jumet, and was entirely destroyed by fire. After leaving the town we went in the direction of Chatelet, where we found an immense battle-field. Terrific fighting must have taken place here, for the number of buried was enormous. On a wide stretch of land we saw a great number of mounds, with crosses, and covered with quicklime. On the crosses the numbers are given of the brave who fell there. So I read, for example:
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TWO:At Thourout all convents and large buildings had been turned into hospitals, and the streets on both sides were full of big wagons. Hundreds of soldiers went off, and large convoys of carts were standing243 in the meadows and on the roads, where officers and men were also practising riding. We were here in the rear, where there was a continuous going and coming from the front. Most soldiers were in a more or less excited mood; some did not hide their discontent, or sat musing dejectedly, asking themselves how these terrible days would end for them? Others again seemed to have got into a sort of frenzy in consequence of the continuous fighting and were not able to think logically at all. They told excited stories about the British whom they had killed, and chased away from the 42 c.m. guns, who, according to them, were also at work in the swampy soil near Nieuwpoort, and also told about the shooting civilians, and those cursed Belgians, who cut open the bellies of their poor wounded, or sliced off their noses, hands, and ears. Of course pure fairy tales, but recited with much power of conviction.

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TWO:For disadvantages there is, on the other hand, a want of uniformity in fittings that prevents their interchange from one part of a line shaft to the othera matter of great importance, as such exchanges are frequently required. A line shaft, when constructed with pieces of varying diameter, is special machinery, adapted to some particular place or duty, and not a standard product that can be regularly manufactured as a staple article by machinists, and thus afforded at a low price. Pulleys, wheels, bearings, and couplings have all to be specially prepared; and in case of a change, or the extension of lines of shafting, cause annoyance, and frequently no little expense, which may all be avoided by having shafts of uniform diameter. The bearings, besides being of varied strength and proportions, are generally in such cases placed at irregular intervals, and the lengths of the different sections of the shaft are sometimes varied to suit their diameter. With line shafts of uniform diameter, everything pertaining to the shaftsuch as hangers, couplings, pulleys, and bearingsis interchangeable; the pulleys, wheels, bearings, or hangers can be placed at pleasure, or changed from one part of the shaft to another, or from [47] one part of the works to another, as occasion may require. The first cost of a line of shafting of uniform diameter, strong enough for a particular duty, is generally less than that of a shaft consisting of sections varying in size. This may at first seem strange, but a computation of the number of supports required, with the expense of special fitting, will in nearly all cases show a saving.

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ONE:But already Balmayne was prepared for that. His luminous cunning brain saw the whole way clear. To save the situation a great sacrifice would have to be made. A coup de thatre was necessary.

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ONE:According to Sir A. Grant, it is by the mystical and poetical side of his nature that Plato differs from Aristotle. The one aspired to a truth above the truth of scientific knowledge; the other to methodised experience and the definite.182 Now, setting aside the question whether there is any truth above the truth of scientific knowledge, we doubt very much whether Plato believed in its existence. He held that the most valuable truth was that which could be imparted to others by a process even more rigorous than mathematical reasoning; and there was no reality, however transcendent, that he did not hope to bring within the grasp of a dialectic without which even the meanest could not be understood. He did, indeed, believe that, so far, the best and wisest of mankind had owed much more to a divinely implanted instinct than to any conscious chain of reflection; but he distinctly293 asserted the inferiority of such guidance to the light of scientific knowledge, if this could be obtained, as he hoped that it could. On the other hand, Aristotle was probably superior to Plato as a poet; and in speaking about the highest realities he uses language which, though less rich and ornate than his masters, is not inferior to it in force and fervour; while his metaphysical theories contain a large element of what would now be considered mysticism, that is, he often sees evidence of purpose and animation where they do not really exist. His advantage in definiteness is, of course, indisputable, but this was, perhaps, because he came after Plato and profited by his lessons."Sister," I said, "I am a cousin of S?ur Eulalie, and should like to see her, to know how she is and take her greetings to her family in The Netherlands."

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ONE:Lige now loomed up in the distance, and the nearer I got, the more civilians I met. They all wore a white armlet, and walked timidly and nervously by the side of the road or street, starting at39 each thunder-clap of the guns. Near the entrance to the town a small crowd stood on one of the hills, looking at a flying-machine moving from fort to fort and over the city, obviously investigating the effect of the German siege-guns.She hurried down the garden to the green gate. A little way beyond it was a policeman. No escape that way for the present. The garden was all right, but it would be light in two or three hours. There was a yell from the roof, and then a policeman's hoarse roaring, saying that he had "got him." The next time Leona looked out the policeman outside the green gate was gone.

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THREE:We have also to consider in what relation the new193 Scepticism stood to the new Platonism by which, in common with every other school, it was eventually either displaced or absorbed. The answer usually given to this question is that the one was a reaction from the other. It is said that philosophy, in despair of being able to discover truth by reason, took refuge in the doctrine that it could be attained by supernatural revelation; and that this doctrine is the characteristic mark distinguishing the system of Plotinus from its predecessors. That a belief in the possibility of receiving divine communications was widely diffused during the last centuries of polytheism is, no doubt, established, but that it ever formed more than an adjunct to Neo-Platonism seems questionable; and there is no evidence that we are aware of to show that it was occasioned by a reaction from Scepticism. As a defence against the arguments of Pyrrho and his successors, it would, in truth, have been quite unavailing; for whatever objections applied to mens natural perceptions, would have applied with still greater force to the alleged supernatural revelation. Moreover, the mystical element of Neo-Platonism appears only in its consummationin the ultimate union of the individual soul with the absolute One; the rest of the system being reasoned out in accordance with the ordinary laws of logic, and in apparent disregard of the Sceptical attacks on their validity.
THREE:Prout dutifully returned the following evening, but Lawrence had nothing fresh to offer. He still clung to his new theory, but it was not sufficiently developed for practical use. And he didn't want to be laughed at, he said."PROCLAMATION

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For neither house nor city flanked with towersThe commander ruled with a strong hand. They issued not only the usual proclamations about introducing German time, but the commander went even so far as to dictate at what hour the Holy Masses had to be said. In one of the proclamations I read, for example, that in future the Mass of six o'clock, Belgian time, had to be said at the same hour German time. Another proclamation said that skippers were forbidden to sail, and that all boats, including fisher-boats, had been seized.A GLORIOUS summer evening, quite refreshing after the exhausting heat of the day. Nature invited to restfulness, and so much the more cruel sounded the incessant thunder of the guns, which also boomed from the citadel. As soon as the Germans had taken possession of this old, dilapidated fortress they proceeded to drag their guns on to it, and trained them on the surrounding forts.
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