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ONE:It may be assumed that the same conditions apply to the standards of a common planing machine, but the case is different; the upright framing is easily made strong enough by increasing its depth; but the strain upon running joints is as the distance from them at which a force is applied, or to employ a technical phrase, as the amount of overhang. With a moving platen the larger and heavier a piece to be planed, the more [132] firmly a platen is held down; and as the cross section of pieces usually increases with their depth, the result is that a planing machine properly constructed will act nearly as well on thick as thin pieces.

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ONE:"Then you will stay again at the episcopal palace, your Eminence?"It may also be mentioned that lathes constructed with angular guides, have usually such ways for the moving heads as well as for the carriages; this gives the advantage of firmly binding the [125] two sides of the frame together in fastening the moving head, which in effect becomes a strong girt across the frame; the carriages also have an equal and independent hold on both sides of a shear. In following this matter thus far, it may be seen how many conditions may have to be considered in reasoning about so apparently simple a matter as the form of ways for lathe carriages; we might even go on to many more points that have not been mentioned; but what has been explained will serve to show that the matter is not one of opinion alone, and that without practical advantages, machine tool-makers will not follow the most expensive of these two modes of mounting lathe carriages.

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FORE:Such is the mild and conciliatory mode of treatment at first adopted by Plato in dealing with the principal representative of the Sophists��Protagoras. In the Dialogue which bears his name the famous humanist is presented to us as a professor of popular unsystematised morality, proving by a variety of practical arguments and ingenious illustrations that virtue can be taught, and that the preservation of social order depends upon the possibility of teaching it; but unwilling to188 go along with the reasonings by which Socrates shows the applicability of rigorously scientific principles to conduct. Plato has here taken up one side of the Socratic ethics, and developed it into a complete and self-consistent theory. The doctrine inculcated is that form of utilitarianism to which Mr. Sidgwick has given the name of egoistic hedonism. We are brought to admit that virtue is one because the various virtues reduce themselves in the last analysis to prudence. It is assumed that happiness, in the sense of pleasure and the absence of pain, is the sole end of life. Duty is identified with interest. Morality is a calculus for computing quantities of pleasure and pain, and all virtuous action is a means for securing a maximum of the one together with a minimum of the other. Ethical science is constituted; it can be taught like mathematics; and so far the Sophists are right, but they have arrived at the truth by a purely empirical process; while Socrates, who professes to know nothing, by simply following the dialectic impulse strikes out a generalisation which at once confirms and explains their position; yet from self-sufficiency or prejudice they refuse to agree with him in taking their stand on its only logical foundation."I remember the transaction perfectly well," he said. "We do a lot of money-changing and that kind of thing, as our foreign connection is a large one. I should not have heeded the matter but for noticing the curious disfigurement of the man's hands."