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At the risk of laying down a proposition not warranted by science, I will mention, in connection with this matter of crystallisation, that metal when disposed in the form of a ring, for some strange reason seems to evade the influences which produce crystalline change. A hand-hammer, for example, may be worn away and remain fibrous; the links of chains and the tires of waggon wheels do not become crystallised; even the tires on locomotive wheels seem to withstand this influence, although the conditions of their use are such as to promote crystallisation.

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There seems, then, good reason for believing that the law of duty, after being divorced from mythology, and seriously compromised by its association, even among the Stoics themselves, with our egoistic instincts, gained an entirely new authority when placed, at least in appearance, under the sanction of a power whose commands did not even admit of being disobeyed. And the question spontaneously presents itself whether we, after getting rid of the old errors and confusions, may profitably employ the same method in defence of the same convictions, whether the ancient alliance between fact and right can be reorganised on a basis of scientific proof.How far Plotinus was indebted to Ammonius Saccas for his speculative ideas is another question with respect to which the Pythagoreanising tendencies of his biographer may282 possibly have contributed to the diffusion of a serious misconception. What Porphyry tells us is this. Before leaving Alexandria, Plotinus had bound himself by a mutual agreement with two of his fellow-pupils, Herennius and Origines (not the Christian Father, but a pagan philosopher of the same age and name), to keep secret what they had learned by listening to the lectures of Ammonius. Herennius, however, soon broke the compact, and Origines followed his example. Plotinus then considered that the engagement was at an end, and used the results of his studies under Ammonius as the basis of his conversational lectures in Rome, the substance of which, we are left to suppose, was subsequently embodied in his published writings. But, as Zeller has pointed out, this whole story bears a suspicious resemblance to what is related of the early Pythagorean school. There also the doctrines of the master were regarded by his disciples as a mystery which they pledged themselves to keep secret, and were only divulged through the infidelity of one among their number, Philolaus. And the same critic proves by a careful examination of what are known to have been the opinions of Origines and Longinus, both fellow-pupils of Plotinus, that they differed from him on some points of essential importance to his system. We cannot, therefore, suppose that these points were included in the teaching of their common master, Ammonius.425 But if this be so, it follows that Plotinus was the real founder of the Neo-Platonic school; and, in all cases, his writings remain the great source whence our knowledge of its first principles is derived.
ONE:Proceeding from these premises, the first thing should be to examine the action of existing valve gear, to determine where this want of the dead-stroke function can best be supplied, and to gain the aid of such suggestions as existing mechanism may offer, also to see how far the appliances in use may become a part of any new arrangement.

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TWO:"This is the way," another gruff voice said. "He's here for any money.""It must be done, surely, it must be done! That is her only chance of escape, and if she stops here she will be killed with the rest of us. Oh!... oh!..."

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  • FORE:The next step was to create a method for determining the particular configuration on which any given property of matter depends. If such a problem could be solved at all, it would be by some new system of practical analysis. Bacon did not see this because he was a Schoolman, emancipated, indeed,377 from ecclesiastical authority, but retaining a blind faith in the power of logic. Aristotles Organon had been the great storehouse of aids to verbal disputation; it should now be turned into an instrument for the more successful prosecution of physical researches. What definitions were to the one, that Forms should be to the other; and both were to be determined by much the same process. Now Aristotle himself had emphatically declared that the concepts out of which propositions are constructed were discoverable by induction and by induction alone. With him, induction meant comparing a number of instances, and abstracting the one circumstance, if any, in which they agreed. When the object is to establish a proposition inductively, he has recourse to a method of elimination, and bids us search for instances which, differing in everything else, agree in the association of two particular marks.541 In the Topics he goes still further and supplies us with a variety of tests for ascertaining the relation between a given predicate and a given subject. Among these, Mills Methods of Difference, Residues, and Concomitant Variations are very clearly stated.542 But he does not call such modes of reasoning Induction. So far as he has any general name for them at all, it is Dialectic, that is, Syllogism of which the premises are not absolutely certain; and, as a matter of nomenclature, he seems to be right. There is, undoubtedly, a process by which we arrive at general conclusions from the comparison of particular instances; but this process in its purity is nothing more nor less than induction by simple enumeration. All other reasoning requires the aid of universal propositions, and is therefore, to that extent, deductive. The methods of elimination or, as they are now called, of experiment, involve at every step the assumption of378 general principles duly specified in the chapter of Mills Logic where they are analysed. And wherever we can rise immediately from, a single instance to a general law, it is because the examination of that single instance has been preceded by a chain of deductive reasoning.

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  • FORE:The contrast is not only direct, but designed, for Euripides had the work of his predecessor before him, and no doubt imagined that he was improving on it.Standard gauging implements were introduced about the year 1840, by the celebrated Swiss engineer, John G. Bodmer, a [148]man who for many reasons deserves to be considered as the founder of machine tool manufacture. He not only employed gauges in his works to secure duplicate dimensions, but also invented and put in use many other reforms in manipulation; among these may be mentioned the decimal or metrical division of measures, a system of detail drawings classified by symbols, the mode of calculating wheels by diametric pitch, with many other things which characterise the best modern practice.

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  • FORE:That same Friday evening the women and children living in the Rue de la Station were told to leave their houses as the whole street was to be burned down. Everybody fled, but the design was not executed. The burgomaster and his son were taken prisoners, and brought to Tongres; later on the son was released; the Very Reverend the Dean was also arrested.

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  • FORE:CHAPTER XXXIII. SHAPING MACHINES.

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  • FORE: Possibly the world may move, and possibly it may be at rest. Possibly it may be round, or else it may be triangular, or have any other shape. Possibly the sun and the stars may be extinguished at setting, and be lighted afresh at their rising: it is, however, equally possible that they may only disappear under the earth and reappear again, or that their rising and setting is due to yet other causes. Possibly the waxing and waning of the moon may be caused by the moons revolving; or it may be due to the atmospheric change, or to an actual increase or decrease in the moons size, or to some other cause. Possibly the moon may shine with borrowed light, or it may shine with its own, experience supplying us with instances of bodies which give their own light, and of others which have their light borrowed. From these and such like statements it appears that questions of natural science in themselves have no value for Epicurus. Whilst granting that only one natural explanation of phenomena is generally possible, yet in any particular case it is perfectly indifferent which explanation is adopted.169

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  • FORE:The entire neighbourhood was still being bombarded from the forts to the north of Lige; several German divisions succeeded, however, in crossing the Meuse near Lixhe. In spite of the shell-fire they passed the pontoon-bridge there, turned into a by-way leading to the canal, near Haccourt, crossed one of the canal-bridges, of which not one had been destroyed, and along another by-way, came to the main road from Maastricht to Tongres, at a spot about three miles from the last-named town.

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THREE:But what had happened once before when philosophy was taken up by men of the world, repeated itself on this occasion. Attention was diverted from speculative to ethical problems, or at least to issues lying on the borderland between speculation and practice, such as those relating to the criterion of truth and the nature of the highest good. On neither of these topics had Epicureanism a consistent answer to give, especially when subjected to the cross-examination of rival schools eager to secure Roman favour for their own doctrines. Stated under any form, the Epicurean morality could not long satisfy the conquerors of the world. To some of them it would seem a shameful dereliction of duty, to others an irksome restraint on self-indulgence, while all would be alienated by its declared contempt for the general interests of culture and ambition. Add to this that the slightest acquaintance with astronomy, as it was then taught in Hellenic countries, would be fatal to a belief in the Epicurean physics, and we shall understand that the cause for which Lucretius contended was already lost before his great poem saw the light.The road to The Netherlands was strewn over with empty wine-bottles.

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THREE:Larry and Dick straightened and stared in surprise. It was very plain to be seen that Sandy was not joking.

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THREE:"Anything to do with the mystery?" he asked.

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ONE:
FORE:I asked and got the commander's permission to travel to Lige by military train, and from there to The Netherlands, not only for myself, but also for a Netherland girl of nine years, whose parents in Amsterdam had repeatedly and persistently asked me to see whether there would be any possibility of letting their little girl come back from a Louvain boarding-school. The Sisters with whom she was let her go with me when I showed them a letter208 from her father. That child had already seen a good deal! The Sisters had fled with all the children at the time of the conflagration, and hidden themselves for days in a farm in the neighbourhood.

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TWO:152

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99 
TWO:
THREE: THREE:Fallings from us, vanishings, THREE:It is never enough to know that any piece of work is commonly constructed in some particular manner, or that a proposition is generally accepted as being correct; a reason should be sought for. Nothing is learned, in the true sense, until the reasons for it are understood, and it is by no means sufficient to know from observation alone that belts are best for high speeds, that gearing is the best means of forming angles in transmitting power, or that gearing consumes more power, and that belts produce less jar and noise; the principles which lie at the bottom must be reached before it can be assumed that the matter is fairly understood.
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INTRODUCTIONThis proposition argues the expediency of reducing the proportions of mill gearing and increasing its speed, a change which has gradually been going on for fifty years past; but there are opposing conditions which make a limit in this direction, such as the speed at which bearing surfaces may run, centrifugal strain, jar, and vibration. The object is to fix upon a point between what high speed, light weight, cheapness of cost suggest, and what the conditions of practical use and endurance demand.The wounded civilians had been put up in the small schoolrooms. Some of them must soon die. Some had burns, but most of them were hit the previous night during the mad outbreak, the mad shooting of the drunken and riotous Germans. In another room a number of old women were crowded together, who had to fly but could not walk all the way to the Netherland frontier.
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