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THREE:

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THREE:It may be remarked as a general rule that the hardness of cutting tools is "inverse as the hardness of the material to be cut," which seems anomalous, and no doubt is so, if nothing but the cutting properties of edges is considered; but all cutting edges are subjected to transverse strain, and the amount of this strain is generally as the hardness of the material acted upon; hence the degree of temper has of necessity to be such as to guard against breaking the edges. Tools for cutting wood, for example, can be much harder than for cutting iron, or to state it better, tools for cutting wood are harder than those usually employed for cutting iron; for if iron tools were always as carefully formed and as carefully used as those employed in cutting wood, they could be equally hard.

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THREE:Macaulay has spoken as if the Platonic philosophy was totally unrelated to the material wants of men. This, however, is a mistake. It is true that, in the Republic, science is not regarded as an instrument for heaping up fresh luxuries, or for curing the diseases which luxury breeds; but only because its purpose is held to be the discovery of those conditions under which a healthy, happy, and virtuous race can best be reared. The art of the true statesman is to weave the web of life with perfect skill, to bring together those couples from whose union the noblest progeny shall issue; and it is only by mastering the laws of the physical universe that this art can be acquired. Plato knew no natural laws but those of mathematics and astronomy; consequently, he set far too much store on the times and seasons at which bride and bridegroom were to meet, and on the numerical ratios by which they were supposed to be determined. He even tells243 us about a mysterious formula for discovering the nuptial number, by which the ingenuity of commentators has been considerably exercised. The true laws by which marriage should be regulated among a civilised people have remained wrapped in still more impenetrable darkness. Whatever may be the best solution, it can hardly fail to differ in many respects from our present customs. It cannot be right that the most important act in the life of a human being should be determined by social ambition, by avarice, by vanity, by pique, or by accident��in a word, by the most contemptible impulses of which human nature is susceptible; nor is it to be expected that sexual selection will always necessitate the employment of insincerity, adulation, and bribery by one of the parties concerned, while fostering in the other credulity, egoism, jealousy, capriciousness, and petty tyranny��the very qualities which a wise training would have for its object to root out.145Although a system but recently developed, the employment of hydraulic machinery for transmitting and applying power has reached an extended application to a variety of purposes, and gives promise of a still more extensive use in future. Considered as a means of transmitting regularly a constant amount [54] of power, water apparatus is more expensive and inferior in many respects to belts or shafts, and its use must be traced to some special principle involved which adapts hydraulic apparatus to the performance of certain duties. This principle will be found to consist in storing up power in such a manner that it may be used with great force at intervals; and secondly, in the facilities afforded for multiplying force by such simple mechanism as pumps. An engine of ten-horse-power, connected with machinery by hydraulic apparatus, may provide for a force equal to one hundred horse-power for one-tenth part of the time, the power being stored up by accumulators in the interval; or in other words, the motive power acting continuously can be accumulated and applied at intervals as it may be required for raising weights, operating punches, compressive forging, or other work of an intermittent character. Hydraulic machinery employed for such purposes is more simple and inexpensive than gearing and shafts, especially in the application of a great force acting for a considerable distance, and where a cylinder and piston represent a degree of strength which could not be attained with twice the amount of detail, if gearing, screws, levers, or other devices were employed instead.

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THREE:

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