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As a means for transmitting power, shafts afford the very important advantage that power can be easily taken off at any point throughout their length, by means of pulleys or gearing, also in forming a positive connection between the motive-power and machines, or between the different parts of machines. The capacity of shafts in resisting torsional strain is as [46] the cube of their diameter, and the amount of torsional deflection in shafts is as their length. The torsional capacity being based upon the diameter, often leads to the construction of what may be termed diminishing shafts, lines in which the diameter of the several sections are diminished as the distance from the driving power increases, and as the duty to be performed becomes less. This plan of arranging line shafting has been and is yet quite common, but certainly was never arrived at by careful observation. Almost every plan of construction has both advantages and disadvantages, and the best means of determining the excess of either, in any case, is to first arrive at all the conditions as near as possible, then form a "trial balance," putting the advantages on one side and the disadvantages on the other, and footing up the sums for comparison. Dealing with this matter of shafts of uniform diameter and shafts of varying diameter in this way, there may be found in favour of the latter plan a little saving of material and a slight reduction of friction as advantages. The saving of material relates only to first cost, because the expense of fitting is greater in constructing shafts when the diameters of the different pieces vary; the friction, considering that the same velocity throughout must be assumed, is scarcely worth estimating.

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The time arrived when this last liberty was to be taken away. In the year 529, Justinian issued his famous decree prohibiting the public teaching of philosophy in Athens, and confiscating the endowments devoted to the maintenance of its professors. It is probable that this measure formed part of a comprehensive scheme for completing the extirpation of paganism throughout the empire. For some two centuries past, the triumph of Christianity had been secured by an unsparing exercise of the imperial authority, as the triumph of Catholicism over heresy was next to be secured with the aid of the Frankish sword. A few years afterwards, the principal representatives of the Neo-Platonic school, including the Damascius of whom we have already spoken, and Simplicius,361 the famous Aristotelian commentator, repaired to the court of Khosru Nuschirvan, the King of Persia, with the intention of settling in his country for the rest of their lives. They were soon heartily sick of their adopted home. Khosru was unquestionably an enlightened monarch, greatly interested in Hellenic culture, and sincerely desirous of diffusing it among his people. It is also certain that Agathias, our only authority on this subject, was violently prejudiced against him. But it may very well be, as stated by that historian530 that Khosru by no means came up to the exaggerated expectations formed of him by the exiled professors. He had been described to them as the ideal of a Platonic ruler, and, like inexperienced bookmen, they accepted the report in good faith. They found that he cared a great deal more for scientific questions about the cause of the tides and the modifications superinduced on plants and animals by transference to a new environment, than about the metaphysics of the One.531 Moreover, the immorality of Oriental society and the corruption of Oriental government were something for which they were totally unprepared. Better, they thought, to die at once, so that it were but on Roman soil, than to live on any conditions in such a country as Persia. Khosru was most unwilling to lose his guests, but on finding that they were determined to leave him, he permitted them to depart, and even made it a matter of express stipulation with the imperial government that they should be allowed to live in their old homes without suffering any molestation on account of their religious opinions.532On the strength of this Mr. Wallace elsewhere observes:
ONE:Let all my life be guiltless save in this: TWO:There was still a real reign of terror, and constantly the town-crier's bell was heard in the streets, informing the people that the victors required something or other. Only a few days ago it was announced that all bicycles had to be delivered at the bridge within twenty-four hours. Any person who after that time was found in possession of such a vehicle would be shot, and his house burned down. With similar threats all arms were requisitioned, but with the explicit addition that this referred also to old, and broken arms, or those which had been taken to pieces. Eatables and drinkables were also constantly claimed under threats of arson.One pair each of three and one-half inch and five inch compasses, two ruling pens, two pairs of spring dividers, one for pens and one for pencils, a triangular boxwood scale, a common rule, and a hard pencil, are the essential instruments for machine-drawing. At the beginning, when "scratching out" will probably form an item in the work, it is best to use Whatman's paper, or the best roll paper, which, of the best manufacture, is quite as good as any other for drawings that are not water-shaded.THREE:Wolffman wriggled uneasily. He wanted to lie badly, but with those eyes upon him he could not do so.She managed to gain her bedroom unseen, she stood with a fast-beating heart at the head of the landing listening. All the servants had gone to bed long ago, there were only one or two of the electrics burning.
FORE:"I am getting to be myself again," he croaked. "You have got the better of me this time, but it will never happen again. Ah, you are keen and you are clever, but the old wolf is ever wiser than the young one. I have been robbed."

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FORE:As soon as the "friendly" Netherlander thought that he had swallowed sufficient praise, I began to ask questions about the meaning of that wanton devastation, and why it was inflicted on the population! Before answering, he looked round in a casual manner, as if thinking: "Oh, it's that bit of fire you refer to!" And then exploded in a string of imprecations against the population.

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FORE:The confusion of Induction, properly so called, and Elimination under a single name, is largely due to the bad example set by Bacon. He found it stated in the Analytics that all concepts and general propositions are established either by syllogism or by induction; and he found some very useful rules laid down in the Topics, not answering to what he understood by the former method; he therefore summarily dubbed them with the name of Induction, which they have kept ever since, to the incalculable confusion of thought.I saw some extremely poor people, very old and stiff, to whom walking was nearly impossible. A Bavarian soldier escorted them. He had his rifle slung across his back and in both hands carried the luggage of the unfortunate creatures. He seemed to have come a long way already, for he looked tired, and the perspiration ran down his face. Although it is only natural to assist one's fellow-creatures, this scene touched me, for hitherto I had seen the Germans commit rough, inhuman deeds only.

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FORE:The problem, then, which Spinoza set himself was, first, to account for the fundamental assumptions of all science, and more particularly of geometry, by deducing them from a single self-evident principle; and then to use that principle for the solution of whatever problems seemed to stand most in need of its application. And, as usually happens in such adventurous enterprises, the supposed answer of pure reason was obtained by combining or expanding conceptions borrowed without criticism from pre-existing systems of philosophy.This process was conceived by Aeschylus as a conflict between two generations of gods, ending with their complete reconciliation. In the Prometheus Bound we have the commencement of the conflict, in the Eumenides its close. Our sympathies are apparently at first intended to be enlisted on behalf of the older divinities, but at last are claimed exclusively by the younger. As opposed to Prometheus, Zeus is evidently in the wrong, and seeks to make up for his deficiencies by arbitrary violence. In the Oresteia he is the champion of justice against iniquity, and through his interpreter, Apollo, he enforces a revised moral code against the antiquated claims of the Erinyes; these latter, however, ultimately consenting to become guardians of the new social70 order. The Aeschylean drama shows us Greek religion at the highest level it could reach, unaided by philosophical reflection. With Sophocles a perceptible decline has already begun. We are loth to say anything that may sound like disparagement of so noble a poet. We yield to none in admiration for one who has combined the two highest qualities of artsweetness and strengthmore completely than any other singer, Homer alone excepted, and who has given the primordial affections their definitive expression for all time. But we cannot help perceiving an element of superstition in his dramas, which, so far, distinguishes them unfavourably from those of his Titanic predecessor. With Sophocles, when the gods interfere, it is to punish disrespect towards themselves, not to enforce justice between man and man. Ajax perishes by his own hand because he has neglected to ask for divine assistance in battle. Laius and Jocast come to a tragic end through disobedience to a perfectly arbitrary oracle; and as a part of the same divine purpose Oedipus encounters the most frightful calamities by no fault of his own. The gods are, moreover, exclusively objects of fear; their sole business is to enforce the fulfilment of enigmatic prophecies; they give no assistance to the pious and virtuous characters. Antigon is allowed to perish for having performed the last duties to her brothers corpse. Neoptolemus receives no aid in that struggle between ambition on the one hand with truthfulness and pity on the other which makes his character one of the most interesting in all imaginative literature. When Athn bids Odysseus exult over the degradation of Ajax, the generous Ithacan refuses to her face, and falls back on the consciousness of a common humanity uniting him in sympathy with his prostrate foe.

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FORE:CHAPTER III. THE PLACE OF SOCRATES IN GREEK PHILOSOPHY."Freedom and revenge," she murmured. "What good words they are. Tomorrow! Well, tomorrow shall be my destruction or my Waterloo!"

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FORE:Leona Lalage fell back with a faint cry. Just for a moment she covered her eyes with her hands. Lalage stood like a statue. He smiled, but there was nothing of mirth in it.Throwing it open, he faced Jeff.

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THREE:CHAPTER V. THE OBJECT OF MECHANICAL INDUSTRY.Even as regards physical phenomena, Socrates, so far from professing complete ignorance, held a very positive theory which he was quite ready to share with his friends. He taught what is called the doctrine of final causes; and, so far as our knowledge goes, he was either the first to teach it, or, at any rate, the first to prove the existence of divine agencies by its means. The old poets had occasionally attributed the origin of man and other animals to supernatural intelligence, but, apparently, without being led to their conviction by any evidence of design displayed in the structure of organised creatures. Socrates, on the other hand, went through the various external organs of the human body with great minuteness, and showed, to his own satisfaction, that they evinced the workings of a wise and beneficent Artist. We shall have more to say further on about this whole argument; here we only wish to observe that, intrinsically, it does not differ very much from the speculations which its author derided as the fruit of an impertinent curiosity; and that no one who now employed it would, for a single moment, be called an agnostic or a sceptic.

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TWO:"Come to tell me you have made a discovery, eh?" he asked. "No need to tell me that, I can see it in your face. Sit down man--one o'clock in the morning is comparatively early for a novelist. Go on."
THREE:Meanwhile a new and powerful agency was about to interpose with decisive effect in the doubtful struggle. This was the study of mathematics. Revived by the Arabians and never wholly neglected during the Middle Ages, it had profited by the general movement of the Renaissance, and was finally applied to the cosmical problem by Galileo. In this connexion, two points of profound philosophical interest must be noted. The first is that, even in its fall, the Aristotelian influence survived, to some extent, both for good and for evil. To Aristotle belongs the merit of having been the first to base astronomy on physics. He maintains the earths immobility on experimental no less than on speculative grounds. A stone thrown straight up in the air returns to its starting-point instead of falling to the west of it; and the absence of stellar385 parallax seems to show that there is no change in our position relatively to the heavenly bodies. After satisfying himself, on empirical considerations, that the popular astronomy is true, he proceeds to show that it must be true, by considerations on the nature of matter and motion, which, although mistaken, are conceived in a genuinely scientific spirit. Now Galileo saw that, to establish the Copernican system, he must first grapple with the Peripatetic physics, and replace it by a new dynamical theory. This, which he could hardly have effected by the ordinary mathematical methods, he did by borrowing the analytical method of Atomism and applying it to the measurement of motion. The law of falling bodies was ascertained by resolving their descent into a series of moments, and determining its rate of velocity at successive intervals; and curvilinear motions were similarly resolved into the combination of an impulsive with an accelerating force, a method diametrically opposed to that of Bacon, who would not even accept the rough analysis of the apparent celestial motions proposed by Greek astronomers.

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FORE:74
THREE:And this one he particularly wanted to see, because the name was unknown to him. In all the swindlers in London it was the first time Prout had heard of one called "Frenchy." And the particular member of the gang--absent from London on business--seemed to be the leader of them all. Once Frenchy showed himself, Prout would give the sign, and within an hour the gang would be laid by the heels.I asked him how things were farther on along the Meuse, but he knew nothing. He was stationed here, he said, and was going to stay as long as possible. As soon as the Germans arrived, most people fled, and those who had stayed on were no longer allowed to leave. So he lacked all information, and only understood that fierce fighting was going on, as was confirmed by the incessant thunder of the20 guns. Fort Pontisse was, moreover, not so very far away, and frequently we could distinctly tell, by their whistling sound, in which direction the shells flew.
FORE:

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FORE:"Is that so? Well, the Netherlanders are our friends, and have so much in common with our people."

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THREE:"There," she whispered. "Take them. It is the bitterest moment of my life for----""It is as I tell you!"

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As I live and breathe! So youre two of the lads who were in the other crate. Wheres the thirdand was that Jeff with you? I thought it must be."How you spoil that child," she said. "Hetty, take her away."
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