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This brings us back to the old proposition, that for structures which do not involve motion, mathematical data will furnish dimensions; but the same rule will not apply in machinery. To follow the proportions for shafts that would be furnished by pure mathematical data would in nearly all cases lead to error. Experience has demonstrated that for ordinary cases, where power is transmitted and applied with tolerable regularity, a shaft three inches in diameter, making one hundred and fifty revolutions a minute, its bearings three to four diameters in length, and placed ten feet apart, will safely transmit fifty horse-power.

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"Rot!" Lawrence cried. "I've got some news for you. Prout has been with me and has left a letter in my possession. What do you think of that?"
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ONE: TWO:


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THREE:"Your Eminence may permit me to remark that the second clause especially is very important and much more comforting than a previous declaration of the Imperial Governor, that owing to occasional213 mistakes he cannot prevent the innocent population from having to suffer with those who are guilty. May I ask, has this favourable result been obtained by your personal intervention?"The outburst of rage and scorn that Ren expected was not forthcoming. She smiled.

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THREE:The analogy between modern Europe and the Roman262 empire is, however, as we have already hinted, merely superficial. It has been shown in the course of our analysis that to ensure the triumph of superstition in the old world something more was necessary than the destruction of aristocratic government. Every feeling of libertyexcept the liberty to dieand almost every feeling of self-respect had to be crushed out by the establishment of an authoritative hierarchy extending from the Emperor down to the meanest slaves, before the voice of Hellenic reason could be hushed. But among ourselves it is rather of the opposite faultof too great independence and individualismthat complaints are heard. If we occasionally see a hereditary monarch or a popular minister invested with despotic power, this phenomenon is probably due to the circumstances of a revolutionary period, and will in course of time become more and more exceptional. Flatterers, parasites, and will-hunters are not an increasing but a diminishing class. Modern officers, as a body, show none of that contempt for reasoning and amenability to superstition which characterised the Roman centurions; in France, military men are even distinguished for their deadly hatred of priests. And, what is more important than any other element in our comparison, the reserves which modern civilisation is bringing to the front are of a widely different intellectual stature and equipment from their predecessors under Augustus and the Antonines. Since the reorganisation of industry by science, millions of working-men have received an education which prepares them to understand the universality of law much better than the literary education given to their social superiors, which, indeed, bears a remarkable resemblance to the rhetorical and sophistical training enjoyed by the contemporaries of Maximus Tyrius and Apuleius. If as much cannot be said of the middle classes, they are at any rate far more enlightened than Roman provincials, and are likely to improve still further with the spread of educationanother peculiarly modern phenomenon.263 On this point we have, indeed, something better to argue from than priori probabilities. We see before our eyes the rationalistic movement advancing pari passu with the democratic movement, and, in some countries, overtly aided by it. To say that this alliance has been provoked by an accidental and temporary association of monarchy and aristocracy with Church establishments, is a superficial explanation. The paid advocates of delusion know well where their interest lies. They have learned by experience that democracy means the education of the people, and that the education of the people means the loss of their own prestige. And they know also that, in many cases, the people are already sufficiently educated to use political power, once they have obtained it, for the summary destruction of organised and endowed superstition. What has been said of popular influence applies equally to the influence of women. When they were either not educated at all or only received a literary education, every improvement in their position was simply so much ground gained for superstition. The prospect is very different now. Women are beginning to receive a training like that of men, or rather a training superior to what all but a very few men have hitherto enjoyed. And the result is that, wherever this experiment has been tried, they have flung aside traditional beliefs once supposed to be a necessity of their nature even more decisively and disdainfully than have the professors by whom they are taught.CHAPTER I. PLANS OF STUDYING.

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THREE:It was from mathematical science that the light of certainty first broke. Socrates had not encouraged the study of mathematics, either pure or applied; nor, if we may judge from some disparaging allusions to Hippias and his lectures in the Protagoras, did Plato at first regard it with any particular favour. He may have acquired some notions of arithmetic and geometry at school; but the intimate acquaintance with, and deep interest in them, manifested throughout his later works, probably dates from his visits to Italy, Sicily, Cyrn, and Egypt. In each of these places the exact sciences were cultivated with more assiduity than at Athens; in southern Italy they had been brought into close connexion with philosophy by a system of mystical interpretation. The glory of discovering their true speculative significance was reserved for Plato. Just as he had detected a profound analogy between the Socratic scepticism and the Heracleitean flux, so also, by another vivid intuition, he saw in the definitions and demonstrations of geometry a type of true reasoning, a particular application of the Socratic logic. Thus the two studies were brought into fruitful reaction, the one gaining a wider applicability, and the other an exacter method of proof. The mathematical spirit ultimately proved211 too strong for Plato, and petrified his philosophy into a lifeless formalism; but no extraneous influence helped so much to bring about the complete maturity of his constructive powers, in no direction has he more profoundly influenced the thought of later ages.

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THREE:Among the most interesting of Plutarchs religious writings is one entitled On the Delays in the Divine Vengeance. As might be expected from the name, it deals with a problem closely akin to that which ages before had been made the subject of such sublime imagery and such inconclusive reasoning by the author of the Book of Job. What troubled the Hebrew poet was the apparently undeserved suffering of the just. What the Greek moralist feels himself called on to explain is the apparent prosperity and impunity of the wicked. He will not for a moment admit that crime remains unavengeful; his object is to show why the retribution does not follow directly on the deed. And, in order to account for this, he adduces a number of very ingenious reasons. By acting deliberately rather than in blind anger, the gods wish to read us a useful lesson in patience and forbearance. Sometimes their object is to give the sinner an opportunity for repentance and amendment; or else they may be holding him in reserve for the performance of some beneficial work. At other times, their justice is delayed only that it may be manifested by some signal and striking form of retribution. In many cases, the final stroke has been preceded by long years of secret torment; and even where no suffering seems to be inflicted, the pangs of remorse may furnish a sufficient expiation. Or again, vengeance may be reserved for a future generation. Some persons hold that to267 visit the sins of the fathers on the children is unjust, but in this they are profoundly mistaken. Members of the same family and citizens of the same state are connected as parts of one organic whole; sharing in the benefits which accrue from the good deeds of their predecessors, it is right that they should also share in the responsibility for their crimes. Moreover, the posterity of the wicked inherit a sinful disposition which, as the gods can clearly foresee, would betray itself in overt acts were they not cut off in their youth. And it is equally an error to suppose that the original wrongdoers remain unaffected by the retribution which befalls their descendants. On the contrary, they witness it from the next world, where it adds poignancy to their remorse, and entails on them fresh penalties over and above those which they have already been doomed to suffer."But what can I suggest? This thing has taken me utterly by surprise. The only thing is to carry that thing back into the street and lay him down where you found him. A policeman saw him leave the house. It will be thought that he had a fit in the street, and we shall not be suspected."
THREE:Heavy as were these blows, a few hours' sleep braced Leona Lalage for what she knew to be a trying ordeal. By the time that breakfast was a thing of the past she had sketched out a new plan of campaign. The terrible unseen force from behind had driven her from her strong position. In future she would have to recognize the fact that she was hopelessly beaten, and all that she could expect now was to cover up her tracks and prevent the final solution of the mystery.The first and, perhaps, the most important matter of all in founding engineering works is that of arrangement. As a commercial consideration affecting the cost of manipulation, and the expense of handling material, the arrangement of an establishment may determine, in a large degree, the profits that may be earned, and, as explained in a previous place, upon this matter of profits depends the success of such works.
THREE:172
THREE:But it was only Mamie whimpering and crying for her. The child was awake and sitting up in bed, whilst the nurse still slept. Mamie was hot and feverish.
THREE:The obligations of justice come next. They are summed up in two precepts that leave nothing to be desired: the first is to do no harm except in self-defence; the second, to bear our share in a perpetual exchange of good offices. And the foundation of justice is rightly placed in the faithful fulfilment of contractsan idea perhaps suggested by Epicurus.63 The virtue of fortitude is treated with similar breadth, and so interpreted as to cover the whole field of conduct, being identified not only with fearlessness in the face of danger, but with the energetic performance of every duty. In a word, it is opposed quite as much to slothfulness and irresolution as to physical timidity.64 Temperance preserves its old meaning of a reasonable restraint exercised over the animal passions and desires; and furthermore, it receives a very rich significance as the quality by which we are enabled to discern and act up to the part assigned to us in life by natural endowment, social position, and individual choice. But this, as one of the most important ideas contributed by Stoicism to subsequent thought, must be reserved for separate discussion in the following section."Was he murdered?" came the hoarse whisper.
THREE:Hes coming aroundfellawho did this-here to you?
ONE:"'6. I am convinced that on the whole the treatment of the wounded was generous and exemplary. But it is also a fact that the terrible hatred of the Germans against the British, encouraged by their military authorities (one has to think of the proclamation of Prince Rupert of Bavaria) and their scandalous comic papers, which disgust even decent Germans, induce to extravagances such as I witnessed at Landen. Did not a German officer explain to an editor of the Algemeen Handelsolad (evening issue of October 18th): "The unwritten order is to make everywhere as many French and as few English prisoners as possible; we don't try to wound, but to kill the British."'"

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ONE:"Lies, gossip? Ask the proprietor."A whispered voice came back; it was Hetty's voice:
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TWO:CHAPTER III. THE PLACE OF SOCRATES IN GREEK PHILOSOPHY."In that case I shall ask you to listen to mine with what patience you can. I have no desire to be in the least vindictive; it is a matter of indifference to me whether you stand in the dock or not. Personally I would go out of my way to save any woman from that indignity. But if you will have it you must."

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"I will take him with me." Kronin said eagerly. "It will be good to feel that I have got him, that there will be no more cups slipped from ze lip. Sentiment again! But there is no sentiment about these banknotes, my friend."CHAPTER XIVIt was stated later on that the German authorities punished the culprits and had them executed at Aix-la-Chapelle; De Tijd of August 31st, 1914, also reported it. But the action of these soldiers was not worse than that of generals who had entire cities destroyed and civilians killed by the hundred, but were always screened by the German Government.
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