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No subject connected with mechanics has been more thoroughly investigated than that of gearing. Text-books are replete with every kind of information pertaining to wheels, at least so far as the subject can be made a mathematical one; and to judge from the amount of matter, formul?, and diagrams, relating to the teeth of wheels that an apprentice will meet with, he will no doubt be led to believe that the main object of modern engineering is to generate wheels. It must be admitted that the teeth of wheels and the proportions of wheels is a very important matter to understand, and should be studied with the greatest care; but it is equally important to know how to produce the teeth in metal after their configuration has been defined on paper; to understand the endurance of teeth under abrasive wear when made of wrought or cast iron, brass or steel; how patterns can be constructed from which correct wheels may be cast, and how the teeth of wheels can be cut [52]by machinery, and so on.
ONE:His keen intellect had not quite come back to him, he was still suffering from the effects of the drug. He had been robbed just at the moment when everything seemed to be going in his favour. His vanity was touched.The relation between the feeding and cutting motion of reciprocating machines is not generally considered, and forms an interesting problem for investigation.
TWO:It has been shown how universal space and universal thought at once contain and explain each particular space and each particular concept. In like manner, the infinite substance contains and explains space and thought themselves. Contains them, yes, as attributes; but explains them, how? As two among an infinity of attributes. In other words, if we ask why there should be such an existence as space, the answer is because existence, being infinite, must necessarily include every conceivable thing. The argument is strikingly like a principle of the Epicurean philosophy, and may well have been suggested by it. According to Lucretius, the appearance of design in our world need not be attributed to creative intelligence, because infinite atoms moving in infinite manners through infinite time, must at length arrive, after a comprehensive series of experiments, at the present frame of things;562 and the same principle is invoked on a smaller scale to account for the origin of organised beings, of memory, and of civil society.563 In both systems, infinite space is the root-conception; but what Lucretius had legitimately used to explain becoming, Spinoza illegitimately applies to the elucidation of being. At one stroke all empirical knowledge is placed on an priori foundation. By assuming unlimited credit at the bank of the universe we entitle ourselves to draw a cheque for any particular amount. Thus the idea of infinite attributes is no mere collateral speculation, but forms an407 essential element of Spinozism. The known varieties of existence are, so to speak, surrounded, supported, and fixed in their places by the endless multitude of the unknown. And this conception of being as absolutely infinite, is another proof of Spinozas Platonic tendencies, for it involves the realisation of an abstract idea, that is to say, of Being, which the philosopher treats as something more comprehensive than the facts of consciousness whence it is derived. 更多 »
TWO:CHAPTER XXV. A CHECK.
TWO:Finishing and fitting relates to giving true and accurate dimensions to the parts of machinery that come in contact with each other and are joined together or move upon each other, and consists in cutting away the surplus material which has to be left in founding and forging because of the heated and expanded condition in which the material is treated in these last processes. In finishing, material is operated upon at its normal temperature, in which condition it can be handled, gauged, or measured, and will retain its shape after it is fitted. Finishing comprehends all operations of cutting and abrading, such as turning, boring, planing and grinding, also the handling of material; it is considered the leading department in shop manipulation, because it is the one where the work constructed is organised and brought together. The fitting shop is also that department to which drawings especially apply, and other preparatory operations are usually made subservient to the fitting processes.
TWO:Turning from sense to reason, Carneades attacks the syllogistic process on grounds already specified in connexion150 with the earlier Sceptics; and also on the plea that to prove the possibility of syllogism is itself to syllogise, and thus involves either a petitio principii or a regress ad infinitum.235 Such a method is, of course, suicidal, for it disproves the possibility of the alleged disproof, a consideration which the Stoics did not fail to urge, and which the later Sceptics could only meet by extending the rule of suspense to their own arguments against argument.236 Nevertheless the sceptical analysis detected some difficulties in the ordinary theory of logic, which have been revived in modern times, and have not yet received any satisfactory solution. Sextus Empiricus, probably copying an earlier authority, it may be Carneades himself, observes that, as the major premise of every syllogism virtually contains the minor, it is either superfluous, or assumes the proposition to be proved. Thus we argue that Socrates is an animal because he is a man, and all men are animals. But if we do not know this latter proposition to be true in the case of Socrates, we cannot be sure that it is true in any case; while if we know it to be true in his case, we do not need to begin by stating it in general terms. And he also attempts to show the impossibility of a valid induction by the consideration, since so often urged, that to generalise from a limited number of instances to a whole class is unsafe, for some of the unknown instances may be contradictory, while the infinite, or at least indefinite multiplicity of individuals precludes the possibility of their exhaustive enumeration.237
TWO:The theological interest and the scholastic interest, though not necessarily associated, have, as already observed, a point of contact in their common exaltation of authority. Thus, for our present purpose they may be classified under the more general notion of traditionalism. By this term I understand a disposition to accept as true opinions received either by the mass of mankind or by the best accredited teachers, and to throw these opinions into a form adapted for easy transmission to others. In this sense, traditionalism is Janus-faced, looking on one side to the past and on the other to the future. Now philosophy could only gain general acceptance by becoming a tradition. For a long time the Greek thinkers busied themselves almost exclusively with the discovery of truth, remaining comparatively indifferent to its diffusion. As Plato says, they went their own way without caring whether they took us along with them or not.3 And it was at this period that the most valuable speculative ideas were first originated. At last a strong desire arose among the higher classes to profit by the results of the new learning, and a class of men came into existence whose profession was to gratify this desire. But the Sophists, as they were called,xiii soon found that lessons in the art of life were more highly appreciated and more liberally rewarded than lessons in the constitution of Nature. Accordingly, with the facile ingenuity of Greeks, they set to work proving, first that Nature could not be known, and finally that there was no such thing as Nature at all. The real philosophers were driven to secure their position by a change of front. They became teachers themselves, disguising their lessons, however, under the form of a search after truth undertaken conjointly with their friends, who, of course, were not expected to pay for the privilege of giving their assistance, and giving it for so admirable a purpose. In this co-operative system, the person who led the conversation was particularly careful to show that his conclusions followed directly from the admissions of his interlocutors, being, so to speak, latent in their minds, and only needing a little obstetric assistance on his part to bring them into the light of day. And the better to rivet their attention, he chose for the subject of discussion questions of human interest, or else, when the conversation turned to physical phenomena, he led the way towards a teleological or aesthetical interpretation of their meaning.
TWO:9Driven by Christian intolerance from every other centre of civilisation, Greek philosophy found a last refuge in Athens, where it continued to be taught through the whole of the fifth century and the first quarter of the sixth. During that period, all the tendencies already indicated as characteristic of Neo-Platonism exhibited themselves once more, and contributed in about equal degrees to the versatile activity of its last original representative, Proclus (410-485). This remarkable man offers one of the most melancholy examples of wasted power to be found in the history of thought. Endowed with an enormous faculty for acquiring knowledge, a rare subtlety in the analysis of ideas, and an unsurpassed genius for their systematic arrangement, he might, under more favourable359 auspices, have been the Laplace or Cuvier of his age. As it was, his immense energies were devoted to the task of bringing a series of lifeless abstractions into harmony with a series of equally lifeless superstitions. A commentator both on Euclid and on Plato, he aspired to present transcendental dialectic under the form of mathematical demonstration. In his Institutes of Theology, he offers proofs equally elaborate and futile of much that had been taken for granted in the philosophy of Plotinus. Again, where there seems to be a gap in the system of his master, he fills it up by inserting new figments of his own. Thus, between the super-essential One and the absolute Nous, he interposes a series of henads or unities, answering to the multiplicity of intelligences or self-conscious Ideas which Plotinus had placed within the supreme Reason, or to the partial souls which he had placed after the world-soul. In this manner, Proclus, following the usual method of Greek thought, supplies a transition from the creative One to the Being which had hitherto been regarded as its immediate product; while, at the same time, providing a counterpart to the many lesser gods with which polytheism had surrounded its supreme divinity. Finally, as Plotinus had arranged all things on the threefold scheme of a first principle, a departure from that principle, and a subsequent reunion with it, Proclus divides the whole series of created substances into a succession of triads, each reproducing, on a small scale, the fundamental system of an origin, a departure, and a return. And he even multiplies the triads still further by decomposing each separate moment into a secondary process of the same description. For example, Intelligence as a whole is divided into Being, Life, and Thought, and the first of these, again, into the Limit, the Unlimited, and the absolute Existence (ο?σ?α), which is the synthesis of both. The Hegelian system is, as is well known, constructed on a similar plan; but while with Hegel the logical evolution is a progress from lower to higher and360 richer life, with Proclus, as with the whole Neo-Platonic school, and, indeed, with almost every school of Greek thought, each step forward is also a step downward, involving a proportionate loss of reality and power.
TWO:Lathes in common use for machine fitting are screw-cutting engine lathes, lathes for turning only, double-geared, single-geared, and back-geared lathes, lathes for boring, hand-lathes, and pulley-turning lathes; also compound lathes with double heads and two tool carriages."An adventure!" the Countess cried gaily. "I have been dodging a couple of policemen, or I should have been back before. Beware of the high road. Goodbye, Captain, and if ever you wish to dispose of your Mercedes, give me the first offer."
TWO:"Soldiers discovered inhabitants of the suburb Saint Pierre in the cellars of a brewery, and killed them on the spot.Waving to his two watching comrades as they grew smaller to his peering eyes, Larry turned his attention to the work of scanning, from the forward place, all the indented shore line, north, that the mist had uncovered.
TWO:Other soldiers kept on running into the burning houses, carrying out vases, pictures, plate, or small pieces of furniture. They smashed everything on81 the cobbles and then returned to wreck more things that would have been destroyed by the fire all the same. It was a revelry of drunken vandalism. They seemed mad, and even risked being burned alive at this work of destruction. Most of the officers were also tipsy; not one of them was saluted by the soldiers.It must not be supposed that the influx of Asiatic religions into Europe was attended by any loss of faith in the old gods of Greece and Italy, or by any neglect of their worship. The researches of Friedl?nder have proved the absolute erroneousness of such an idea, widely entertained as it has been. Innumerable monuments are in existence testifying to the continued authority of the Olympian divinities, and particularly of Jupiter, over the whole extent of the Roman empire. Ample endowments were still devoted to the maintenance of their service; their temples still smoked with sacrifices; their litanies were still repeated as a duty which it would have been scandalous to neglect; in all hours of public and private danger their help was still implored, and acknowledged by the dedication of votive offerings when the danger was overcome; it was still believed, as in the days of Homer, that they occasionally manifested themselves on earth, signalising their presence by works of superhuman power.339 Nor was there anything anomalous in this peaceable co-existence of the old with the new faiths. So far back as we can trace the records both of Greek and Roman polytheism, they are remarkable for their receptive and assimilative capacity. Apollo and Artemis were imported into Greece from Lycia, Heracles and Aphrodite from Phoenicia, Dionysus and Ares probably from220 Thrace. Roman religion under its oldest form included both a Latin or Sabine and an Etruscan element; at a subsequent period it became Hellenised without losing anything of its grave and decorous character. In Greece, the elastic system of divine relationships was stretched a little further so as to make room for the new comers. The same system, when introduced into Roman mythology, served to connect and enliven what previously had been so many rigid and isolated abstractions. With both, the supreme religious conception continued to be what it had been with their Aryan ancestors, that of a heavenly Father Jove; and the fashionable deities of the empire were received into the pantheon of Homer and Hesiod as recovered or adopted children of the same Olympian sire. The danger to Hellenistic polytheism was not from another form of the same type, but from a faith which should refuse to amalgamate with it on any terms; and in the environment created by Roman imperialism with its unifying and cosmopolitan character, such a faith, if it existed anywhere, could not fail in the long-run to supersede and extinguish its more tolerant rivals. But the immediate effect produced by giving free play to mens religious instincts was not the concentration of their belief on a single object, or on new to the exclusion of old objects, but an extraordinary abundance and complexity of supernaturalism under all its forms. This general tendency, again, admits of being decomposed into two distinct currents, according as it was determined by the introduction of alien superstitions from without, or by the development of native and popular superstition from within. But, in each case, the retrogressive movement resulted from the same political revolution. At once critical and conservative, the city-aristocracies prevented the perennial germs of religious life from multiplying to any serious extent within the limits of their jurisdiction, no less vigilantly than they prohibited the importation of its completed products from abroad. We have now to study the221 behaviour of these germs when the restraint to which they had formerly been subjected was lightened or withdrawn.

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Before parting with Stoicism we have to say a few words on the metaphysical foundation of the whole systemthe theory of Nature considered as a moral guide and support. It has been shown that the ultimate object of this, as of many other ethical theories, both ancient and modern, was to reconcile the instincts of individual self-preservation with virtue, which is the instinct of self-preservation in an entire community. The Stoics identified both impulses by declaring that virtue is the sole good of the individual no less than the supreme interest of the whole; thus involving themselves in an insoluble contradiction. For, from their nominalistic point of view, the good of the whole can be nothing but an aggre45gate of particular goods, or else a means for their attainment; and in either case the happiness of the individual has to be accounted for apart from his duty. And an analysis of the special virtues and vices would equally have forced them back on the assumption, which they persistently repudiated, that individual existence and pleasure are intrinsically good, and their opposites intrinsically evil. To prove their fundamental paradoxthe non-existence of individual as distinguished from social interestthe Stoics employed the analogy of an organised body where the good of the parts unquestionably subserves the good of the whole;100 and the object of their teleology was to show that the universe and, by implication, the human race, were properly to be viewed in that light. The acknowledged adaptation of life to its environment furnished some plausible arguments in support of their thesis; and the deficiencies were made good by a revival of the Heracleitean theory in which the unity of Nature was conceived partly as a necessary interdependence of opposing forces, partly as a perpetual transformation of every substance into every other. Universal history also tended to confirm the same principle in its application to the human race. The Macedonian, and still more the Roman empire, brought the idea of a world-wide community living under the same laws ever nearer to its realisation; the decay of the old religion and the old civic patriotism set free a vast fund of altruism which now took the form of simple philanthropy; while a rank growth of immorality offered ever new opportunities for an indignant protest against senseless luxury and inhuman vice. This last circumstance, however, was not allowed to prejudice the optimism of the system; for the fertile physics of Heracleitus suggested a method by which moral evil could be interpreted as a necessary concomitant of good, a material for the perpetual exercise and illustration of virtuous deeds.101Patterns that are deep, and for castings that require to be parallel or square when finished, are made with the least possible amount of draught. If a pattern is a plain form, that affords [99] facilities for lifting or drawing, it may be drawn without taper if its sides are smooth and well finished. Pieces that are shallow and moulded often should, as a matter of convenience, have as much taper as possible; and as the quantity of draught can be as the depth of a pattern, we frequently see them made with a taper that exceeds one inch to the foot of depth.
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