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The most perfect castings for gear wheels and pulleys and other pieces which can be so moulded, are made by drawing the patterns through templates without rapping. These templates are simply plates of metal perforated so that the pattern can be forced through them by screws or levers, leaving the sand intact. Such templates are expensive to begin with, because of the accurate fitting that is required, especially around the teeth of wheels, and the mechanism that is required in drawing the patterns, but when a large number of pieces are to be made from one pattern, such as gear wheels and pulleys, the saving of labour will soon pay for the templates and machinery required, to say nothing of the saving of metal, which often amounts to ten per cent., and the increased value of the castings because of their accuracy.

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These different plans will be considered first in reference to the effect produced upon the movement of carriages; this includes friction, endurance of wear, rigidity of tools, convenience of operating and the cost of construction. The cutting point in both turning and boring on a slide lathe is at the side of a piece, or nearly level with the lathe centres, and any movement of a carriage horizontally across the lathe affects the motion of the tool [124] and the shape of the piece acted upon, directly to the extent of such deviation, so that parallel turning and boring depend mainly upon avoiding any cross movement or side play of a carriage. This, in both theory and practice, constitutes the greatest difference between flat top and track shears; the first is arranged especially to resist deviation in a vertical plane, which is of secondary importance, except in boring with a bar; the second is arranged to resist horizontal deviation, which in nine-tenths of the work done on lathes becomes an exact measure of the inaccuracy of the work performed.Let us now pass over fourteen centuries and see to what results the doctrine taught by Plato himself led when it had entered into an alliance with the superstitions which he denounced. Our illustration shall be taken from a sainted hero of the Catholic Church. In a sermon preached before Pope Nicholas II. at Arezzo, the famous Hildebrand, afterwards Gregory VII., relates the following story:
ONE:The lawyer bowed his strange client out. He had only to obey instructions. He went back to his desk pondering on the sensation that society was going to get shortly. Maitrank went straight away to Lawrence.

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ONE:55First. Gravity wheels, acting directly from the weight of the water which is loaded upon a wheel revolving in a vertical plane, the weight resting upon the descending side until the water has reached the lowest point, where it is discharged.

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ONE:

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TWO:The Epicurean philosophy was, in fact, the first to gain a footing in Rome; and it thereby acquired a position of comparative equality with the other schools, to which it was not really entitled, but which it has ever since succeeded in maintaining. The new doctrine fell like a spark on a mass of combustible material. The Romans were full of curiosity about Nature and her workings; full of contempt for the degrading Etruscan superstitions which hampered them at every turn, and the falsity of which was proving too much even for the official gravity of their state-appointed interpreters; full of impatience at the Greek mythology which was beginning to substitute itself for the severe abstractions of their own more spiritual faith;265 full of loathing for the Asiatic orgies which were being introduced into the highest society of their own city. Epicureanism offered them a complete and easily intelligible theory of the world, which at the same time came as a deliverance from supernatural terrors. The consequence was that its different parts were thrown out of perspective, and their relative importance almost reversed. Originally framed as an ethical system with certain physical and theological implications, it was interpreted by Lucretius, and apparently also by his Roman predecessors,266 as a scientific and anti-religious system, with certain references to conduct neither very prominently brought forward nor very distinctly conceived.168 And we know from the contents of the papyrus rolls discovered at Herculaneum, that those who studied the system in its original sources paid particular attention to the voluminous physical treatises of Epicurus, as well as to the theological works of his successors. Nor was this change of front limited to Epicureanism, if, as we may suspect, the rationalistic direction taken by Panaetius was due, at least in part, to a similar demand on the side of his Roman admirers.
TWO:On turning to Aristotles Rhetoric we find that, from a practical point of view, his failure here is, if possible, still more complete. This treatise contains, as we have already observed, an immense mass of more or less valuable information on the subject of psychology, ethics, and dialectic, but gives exceedingly little advice about the very essence of rhetoric as an art, which is to say whatever you have to say in the most telling manner, by the arrangement of topics and arguments, by the use of illustrations, and by the choice of language; and that little is to be found in the third book, the genuineness of which is open to very grave suspicion. It may be doubted whether any orator or critic of oratory was ever benefited in the slightest degree by the study of Aristotles rules. His collections of scientific data add nothing to our knowledge, but only throw common experience into abstract formulas; and even as a body of memoranda they would be useless, for no memory could contain them, or if any man could remember them he would have intellect enough not to require them.184 The professional teachers whom300 Aristotle so heartily despised seem to have followed a much more effectual method than his; they gave their pupils ready-made speeches to analyse and learn by heart, rightly trusting to the imitative instinct to do the rest. He compares them to a master who should teach his apprentices how to make shoes by supplying them with a great variety of ready-made pairs. But this would be a much better plan than to give them an elaborate lecture on the anatomy of the foot, with a full enumeration of its bones, muscles, tendons, nerves, and blood-vessels, which is the most appropriate parallel to his system of instruction.Symmetry, as an element in designs for machinery, is one of those unsettled matters which may be determined only in connection with particular cases; it may, however, be said that for all engineering implements and manufacturing machinery of every kind, there should be nothing added for ornament, or anything that has no connection with the functions of the machinery.
TWO:In returning to one of the older cosmologies, the Stoics placed themselves in opposition to the system of Aristotle as a whole, although on questions of detail they frequently adopted his conclusions. The object of Heracleitus, as against the Pythagoreans, had been to dissolve away every antithesis in a pervading unity of contradictories; and, as against the Eleatics, to substitute an eternal series of transformations for the changeless unity of absolute existence. The Stoics now applied the same method on a scale proportionate to the subsequent development of thought. Aristotle had carefully distinguished God from the world, even to the extent of isolating him from all share in its creation and interest in its affairs. The Stoics declared that God and the world were one. So far, it is allowable to call them pantheists. Yet their pantheism was very different from what we are accustomed to denote by that name; from the system of Spinoza, for example. Their strong faith in final causes and in Providencea faith in which they closely followed Socrateswould be hardly consistent with anything but the ascription of a distinct and individual consciousness to the Supreme Being, which is just what modern pantheists refuse to admit. Their God was sometimes described as the soul of the world, the fiery element surrounding and penetrating every other kind of matter. What remained was the body of God; but it was a body which he had originally created out of his own substance, and would, in the fulness of time, absorb into that substance again.25 Thus they kept the future conflagration foretold by Heracleitus, but gave it a more religious colouring. The process of creation was then to begin over again, and all things were to run the same12 course as before down to the minutest particulars, human history repeating itself, and the same persons returning to live the same lives once more.26 Such a belief evidently involved the most rigid fatalism: and here again their doctrine offers a pointed contrast to that of Aristotle. The Stagirite, differing, as it would seem, in this respect from all the older physicists, maintained that there was an element of chance and spontaneity in the sublunary sphere; and without going very deeply into the mechanism of motives or the theory of moral responsibility, he had claimed a similar indeterminateness for the human will. Stoicism would hear of neither; with it, as with modern science, the chain of causation is unbroken from first to last, and extends to all phenomena alike. The old theological notion of an omnipotent divine will, or of a destiny superior even to that will, was at once confirmed and continued by the new theory of natural law; just as the predestination of the Reformers reappeared in the metaphysical rationalism of Spinoza.27As we went on towards Eerneghem French aviators were heroically reconnoitring above the German lines. One came from Dixmuiden and one from Nieuwpoort; both went to about half-way between these two towns, where the centre of the battle was. The Germans kept up an unbroken artillery fire at those birds in the air. I saw quite near to them shells exploding right and left and discharging dense, black clouds of smoke that disappeared slowly. There were moments when these black stretches of cloud seemed to form a frame round the aeroplanes, but the brave aviators knew how to escape from their assailants by all sorts of tricks. They came down to go up again unexpectedly, entirely changed their direction a moment later, and at last both disappeared undamaged.
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THREE:Draughting, or drawing, as it is more commonly called, is a means by which mental conceptions are conveyed from one person to another; it is the language of mechanics, and takes the place of words, which are insufficient to convey mechanical ideas in an intelligible manner.

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THREE:Constantly new and large transports of wounded came along the road, and here and there they were busy killing and burying wounded horses. The inhabitants locked themselves in their houses, and expected with great fear that any moment the military might arrive to claim their last horse or cow. The requisitions went on continuously, and the cattle were driven to the front in a long, desolate procession.

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THREE:After resolving virtue into knowledge of pleasure, the next questions which would present themselves to so keen a thinker were obviously, What is knowledge? and What is pleasure? The Theaettus is chiefly occupied with a discussion of the various answers already given to the first of these enquiries. It seems, therefore, to come naturally next after the Protagoras; and our conjecture receives a further confirmation when we find that here also a large place is given to the opinions of the Sophist after whom that dialogue is named; the chief difference being that the points selected for controversy are of a speculative rather than of a practical character. There is, however, a close connexion between the argument by which Protagoras had endeavoured to prove that all mankind are teachers of virtue, and his more general principle that man is the measure of all things. And perhaps it was the more obvious difficulties attending the latter view which led Plato, after some hesitation, to reject the former along206 with it. In an earlier chapter we gave some reasons for believing that Protagoras did not erect every individual into an arbiter of truth in the sweeping sense afterwards put upon his words. He was probably opposing a human to a theological or a naturalistic standard. Nevertheless, it does not follow that Plato was fighting with a shadow when he pressed the Protagorean dictum to its most literal interpretation. There are plenty of people still who would maintain it to that extent. Wherever and whenever the authority of ancient traditions is broken down, the doctrine that one mans opinion is as good as anothers immediately takes its place; or rather the doctrine in question is a survival of traditionalism in an extremely pulverised form. And when we are told that the majority must be rightwhich is a very different principle from holding that the majority should be obeyedwe may take it as a sign that the loose particles are beginning to coalesce again. The substitution of an individual for a universal standard of truth is, according to Plato, a direct consequence of the theory which identifies knowledge with sense-perception. It is, at any rate, certain that the most vehement assertors of the former doctrine are also those who are fondest of appealing to what they and their friends have seen, heard, or felt; and the more educated among them place enormous confidence in statistics. They are also fond of repeating the adage that an ounce of fact is worth a ton of theory, without considering that theory alone can furnish the balance in which facts are weighed. Plato does not go very deep into the rationale of observation, nor in the infancy of exact science was it to be expected that he should. He fully recognised the presence of two factors, an objective and a subjective, in every sensation, but lost his hold on the true method in attempting to trace a like dualism through the whole of consciousness. Where we should distinguish between the mental energies and the physical processes underlying them, or between the207 elements respectively contributed to every cognition by immediate experience and reflection, he conceived the inner and outer worlds as two analogous series related to one another as an image to its original.

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THREE:A cubic inch of water, by taking up a given amount of heat, is expanded to more than five hundred cubic inches of steam, at a pressure of forty-five pounds to the square inch. This extraordinary expansion, if performed in a close vessel, would exert a power five hundred times as great as would be required to force the same quantity of water into the vessel against this expansive pressure; in other words, the volume of the water when put into the vessel would be but one five-hundredth part of its volume when it is allowed to escape, and this expansion, when confined in a steam-boiler, exerts the force that is called steam-power. This force or power is, through the means of the engine and its details, communicated and applied to different kinds of work where force and movement are required. The water [33] employed to generate steam, like the engine and the boiler, is merely an agent through which the energy of heat is applied.

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ONE:Thus, where Zeller says that the Greek philosophers confounded the objective with the subjective because they were still imperfectly separated from Nature, we seem to have come on a less ambitious but more intelligible explanation of the facts, and one capable of being stated with as much generality as his. Not only among the Greeks but everywhere, culture is more or less antagonistic to originality, and the diffusion to the enlargement of knowledge. Thought is like water; when spread over a wider surface it is apt to become stagnant and shallow. When ideas could only live on the condition ofxiv being communicated to a large circle of listeners, they were necessarily adapted to the taste and lowered to the comprehension of relatively vulgar minds. And not only so, but the habit of taking their opinions and prejudices as the starting-point of every enquiry frequently led to the investment of those opinions and prejudices with the formal sanction of a philosophical demonstration. It was held that education consisted less in the acquisition of new truth than in the elevation to clearer consciousness of truths which had all along been dimly perceived.I was scarcely outside the townlet when I met another little group of refugees, probably all members of one family. The mother was being supported by her daughters, all wept, and nervous exhaustion made them totter as they walked. Every moment the mother looked back pitifully at the conflagration which devoured all around, including her slender property, for which she had worked so many years.

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THREE:If private society exercised a demoralising influence on its most gifted members, and in turn suffered a still further debasement by listening to their opinions, the same fatal interchange of corruption went on still more actively in public life, so far, at least, as Athenian democracy was concerned. The people would tolerate no statesman who did not pamper199 their appetites; and the statesmen, for their own ambitious purposes, attended solely to the material wants of the people, entirely neglecting their spiritual interests. In this respect, Pericles, the most admired of all, had been the chief of sinners; for he was the first who gave the people pay and made them idle and cowardly, and encouraged them in the love of talk and of money. Accordingly, a righteous retribution overtook him, for at the very end of his life they convicted him of theft, and almost put him to death. So it had been with the other boasted leaders, Miltiades, Themistocles, and Cimon; all suffered from what is falsely called the ingratitude of the people. Like injudicious keepers, they had made the animal committed to their charge fiercer instead of gentler, until its savage propensities were turned against themselves. Or, changing the comparison, they were like purveyors of luxury, who fed the State on a diet to which its present ulcerated and swollen condition was due. They had filled the city full of harbours, and docks, and walls, and revenues and all that, and had left no room for justice and temperance. One only among the elder statesmen, Aristeides, is excepted from this sweeping condemnation, and, similarly, Socrates is declared to have been the only true statesman of his time.127
THREE:At once the hydroplane was manned and sent away, the yacht took up its own course, and Mr. Everdailto give him his own claimed titlepointed the airplanes nose for his estate. Sandy occupied the time of the flight by trying to piece together the strangely mixed jig-saw bits of their puzzleor was it only one puzzle?

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THREE:Both increate and indestructible,"My dear sir, they are in my possession. If you are still cynical on the point I will show them to you."

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THREE:The driver was clad in goggles and leather coat, thereby proclaiming the fact that he was used to a high rate of speed. He placed a note in Bruce's hand; there was an interrogative gleam in his eyes.

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THREE:I saw that I must act, and jumped on a chair.

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CHAPTER LII. THE CAGE IS OPENED."Like mother's Antoinette cabinet in the drawing-room," she said.219IX.Maitrank glanced meaningly round the luxurious room. He took in the works of art, the carpets and skins, the flowers, and the soft shaded light.
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