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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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CHAPTER XXX. PROUT GETS A CLUE.
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ONE:"I will do anything I can to make your mind easy," Hetty said. TWO:Let us now see how he carries this passionate enthusiasm for knowledge into the humblest researches of zoology:


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THREE:Everything was gone, even to the electric fittings. The place was dismantled and dirty, the floors grimy with the tramp of many feet. A door closed with a sullen bang, and Hetty started.

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THREE:Prout glanced admiringly into the pretty flushed face.

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THREE:

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THREE:
THREE:No, if there was a way to safety she would have to find it herself. And there was a long knife under the folds of her dress. If she could only get a chance to use it! After that the fair Spaniard would disappear, never to be seen again. Of her real identity this man could not possibly know.
THREE:
THREE:It seemed incredible, but there it was, and there it will be again so long as human cupidity and human greed exist. Maitrank was the only man who was silent over his losses. He had been a fool, but the money was gone, and there was no reason why he should betray his folly aloud to the world.
THREE:After some firing one of the hussars was hit and fell from his horse, which ran away. A few seconds later another hussar was hit in his arm and his horse in its hind-part. Rider and horse flew away from the fire. The Germans had, of course, immediately answered the firing, and pulled me with them behind the bend of the road, where I lay down with them flat on the ground. A Belgian soldier who came out of the shrubbery with three others was shot, but as the firing went on for some time and the hussars and cyclists began to take to their heels, some order was given, and the Germans jumped up and ran away in the direction of Bilsen. I was told to come with them, so I also ran, and we all arrived at Bilsen out of breath. As soon as they had recovered their breath they gave vent to their rage.
THREE:Flat or plane joints nearly always admit of adjustment between the fitted surfaces; that is, the material scraped or ground away in fitting can be compensated by bringing the pieces nearer together; but parallel cylindrical joints cannot even be tried together until finished, consequently, there can be nothing cut away in trying them together. Tapering, or conical joints, can of course be trial-fitted, and even parallel fits are sometimes made by trial, but it is evident that the only material that can [149] be cut away in such cases, is what makes the difference between a fit too close, and one which will answer in practice.With which cynical remark Lawrence lighted a cigarette and departed. From above the fretful voice of Mamie called to her dear Hetty. In sooth, the child was running a great risk of being spoilt.

ONE:"I fancy I can see a way out of the difficulty," he said. "I do not wish to pry into your affairs, but in a novelist's business one gets to know things. And I, too, am in a great quandary. Do you recollect the flower farm near Ajaccio?"

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ONE:It was not, however, in any of these concessions that the Stoics found from first to last their most efficient solution for the difficulties of practical experience, but in the countenance they extended to an act which, more than any other, might have seemed fatally inconsistent both in spirit and in letter with their whole system, whether we choose to call it a defiance of divine law, a reversal of natural instinct, a selfish abandonment of duty, or a cowardly shrinking from pain. We allude, of course, to their habitual recommendation of suicide. If you are not satisfied with life, they said,31 you have only got to rise and depart; the door is always open. Various circumstances were specified in which the sage would exercise the privilege of taking himself off, as they euphemistically expressed it. Severe pain, mutilation, incurable disease, advanced old age, the hopelessness of escaping from tyranny, and in general any hindrance to leading a natural life, were held to be a sufficient justification for such a step.71 The first founders of the school set an example afterwards frequently followed. Zeno is said to have hanged himself for no better reason than that he fell and broke his finger through the weakness of old age; and Cleanthes, having been ordered to abstain temporarily from food, resolved, as he expressed it, not to turn back after going half-way to death.72 This side of the Stoic doctrine found particular favour in Rome, and the voluntary death of Cato was always spoken of as his chief title to fame. Many noble spirits were sustained in their defiance of the imperial despotism by the thought that there was one last liberty of which not even Caesar could deprive them. Objections were silenced by the argument that, life not being an absolute good, its loss might fairly be preferred to some relatively greater inconvenience.73 But why the sage should renounce an existence where perfect happiness depends entirely on his own will, neither was, nor could it be, explained.
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TWO:Anaximanders system was succeeded by a number of others which cannot be arranged according to any order of linear progression. Such arrangements are, indeed, false in principle. Intellectual life, like every other life, is a product of manifold conditions, and their varied combinations are certain to issue in a corresponding multiplicity of effects. Anaximenes, a fellow-townsman of Anaximander, followed most closely in the footsteps of the master. Attempting, as it would appear, to mediate between his two predecessors, he chose air for a primal element. Air is more omnipresent than water, which, as well as earth, is enclosed within its plastic sphere. On the other hand, it is more tangible and concrete than the Infinite, or may even be substituted for that conception by supposing it to extend as far as thought can reach. As before, cosmogony grows out of cosmography; the enclosing element is the parent of those embraced within it.

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Prodicus was born in Ceos, a little island belonging to the Athenian confederacy, and seems to have habitually resided at Athens. His health was delicate, and he wrapped up a good deal, as we learn from the ridicule of Plato, always pitiless to a valetudinarian.F Judging from two allusions in Aristophanes, he taught natural science in such a manner as to conciliate even that unsparing enemy of the new learning.58 He also gave moral instruction grounded on the traditional ideas of his country, a pleasing specimen of which has been preserved. It is conveyed under the form of an apologue, entitled the Choice of Heracls, and was taken down in its present form by Xenophon from the lips of Socrates, who quoted it, with full approval, for the benefit of his own disciples. Prodicus also lectured on the use of words, laying especial emphasis on the distinction of synonyms. We hear, not without sympathy, that he tried to check the78 indiscriminate employment of awful (δειν??), which was even more rife at Athens than among ourselves.G Finally, we are told that, like many moderns, he considered the popular divinities to be personifications of natural phenomena. Hippias, who was a native of Elis, seems to have taught on very much the same system. It would appear that he lectured principally on astronomy and physics, but did not neglect language, and is said to have invented an art of memory. His restless inquisitiveness was also exercised on ancient history, and his erudition in that subject was taxed to the utmost during a visit to Sparta, where the unlettered people still delighted in old stories, which among the more enlightened Greeks had been superseded by topics of livelier and fresher interest. At Sparta, too, he recited, with great applause, an ethical discourse under the form of advice given by Nestor to Neoptolemus after the capture of Troy. We know, on good authority, that Hippias habitually distinguished between natural and customary law, the former being, according to him, everywhere the same, while the latter varied from state to state, and in the same state at different times. Natural law he held to be alone binding and alone salutary. On this subject the following expressions, evidently intended to be characteristic, are put into his mouth by Plato:All of you who are here present I reckon to be kinsmen and friends and fellow-citizens, by nature and not by law; for by nature like is akin to like, whereas law is the tyrant of mankind, and often compels us to do many things which are against Nature.59 Here two distinct ideas are implied, the idea that Nature is a moral guide, and, further, the idea that she is opposed to convention. The habit of looking for examples and lessons to some simpler life than their own prevailed among the Greeks from a very early period, and is, indeed, very common in primitive societies. Homers similes are a case in point; while all that we are told79 about the innocence and felicity of the Aethiopians and Hyperboreans seems to indicate a deep-rooted belief in the moral superiority of savage to civilised nations; and Hesiods fiction of the Four Ages, beginning with a golden age, arises from a kindred notion that intellectual progress is accompanied by moral corruption. Simonides of Amorgus illustrates the various types of womankind by examples from the animal world; and Aesops fables, dating from the first half of the sixth century, give ethical instruction under the same disguise. We have already pointed out how Greek rural religion established a thorough-going connexion between physical and moral phenomena, and how Heracleitus followed in the same track. Now, one great result of early Greek thought, as described in our first chapter, was to combine all these scattered fugitive incoherent ideas under a single conception, thus enabling them to elucidate and support one another. This was the conception of Nature as a universal all-creative eternal power, first superior to the gods, then altogether superseding them. When Homer called Zeus the father of gods and men; when Pindar said that both races, the divine and the human, are sprung from one mother (Earth);60 when, again, he spoke of law as an absolute king; or when Aeschylus set destiny above Zeus himself;61 they were but foreshadowing a more despotic authority, whose dominion is even now not extinct, is perhaps being renewed under the title of Evolution. The word Nature was used by most philosophers, and the thing was implied by all. They did not, indeed, commit the mistake of personifying a convenient abstraction; but a conception which they substituted for the gods would soon inherit every attribute of divine agency. Moreover, the Nature of philosophy had three fundamental attributes admitting of ready application as ethical standards. She was everywhere the same; fire burned in Greece and Persia alike. She tended towards an80 orderly system where every agent or element is limited to its appropriate sphere. And she proceeded on a principle of universal compensation, all gains in one direction being paid for by losses in another, and every disturbance being eventually rectified by a restoration of equilibrium. It was, indeed, by no means surprising that truths which were generalised from the experience of Greek social life should now return to confirm the orderliness of that life with the sanction of an all-pervading law.Thus Maitrank chuckled over his invitation. He was going to take his vengeance for the trick played on him in his own good time. He had purposely kept out of the way of the Countess. He set the cables in motion, and after a due response or two he was closeted with the head of, a smart firm of lawyers in Ely Place.That the absolute disjunction of thought from matter involved the impossibility of their interaction, was a consequence not drawn by Descartes himself, but by his immediate followers. Here also, Greek philosophy played its part in hastening the development of modern ideas. The fall of Aristotle had incidentally the effect of reviving not only the systems which preceded, but also those which followed his. Chief among these were Stoicism and Epicureanism. Differing widely in most other respects, they agreed in teaching that body is acted on by body alone. The Cartesians accepted this principle to the fullest extent so far as human perceptions and volitions were concerned; and to a great extent in dealing with the problems of physical science. But instead of arguing from the laws of mechanical causation to the materiality of mind, they argued from its immateriality to the total absence of communication between consciousness and motion. There was, however, one thinker of that age who went all lengths with the later Greek materialists. This was Thomas Hobbes, the founder of modern ethics, the first Englishman to grasp and develope still further Galileos method of mathematical deduction and mechanical analysis."Must attend the inquest, sir," said the practical Prout. "Still, if that was my house, I'd pull it down if I couldn't sell it."[100]To urge the necessity of learning practical fitting as a part of an engineering education is superfluous. A mechanical engineer who has not been "through the shop" can never expect to attain success, nor command the respect even of the most inferior workmen; without a power of influencing and controlling others, he is neither fitted to direct construction, nor to manage details of any kind connected with engineering industry. There is nothing that more provokes a feeling of resentment in the mind of a skilled man than to meet with those who have attempted to qualify themselves in the theoretical and commercial details of engineering work, and then assume to direct labour which they do not understand; nor is a skilled man long in detecting an engineer of this class; a dozen words in conversation upon any mechanical subject is generally enough to furnish a clue to the amount of practical knowledge possessed by the speaker.
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