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FORE:VIII.
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FORE:In multiplying the variations of a measuring implement by mechanism, it is obvious that movable joints must be employed; it is also obvious that no positive joint, whether cylindrical or flat, could be so accurately fitted as to transmit such slight movement as occurs in gauging or measuring. This difficulty is in most measuring instruments overcome by employing a principle not before alluded to, but common in many machines, that of elastic [151] compensation.By placing the axes of tangent gearing so that the threads or teeth of the pinions are parallel to the face of the driven teeth, [53] as in the planing machines of Messrs Wm. Sellers & Co., the conditions of operation are changed, and an interesting problem arises. The progressive or forward movement of the pinion teeth may be equal to the sliding movement between the surfaces; and an equally novel result is, that the sliding action is distributed over the whole breadth of the driven teeth.
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FORE:There, neatly arranged, was the row of chewed bits of gum!Simplicius continued to write commentaries on Aristotle362 after his return, and was even succeeded by a younger generation of Platonic expositors; but before the end of the sixth century paganism was extinct, and Neo-Platonism, as a separate school of philosophy, shared its fate. It will be the object of our next and concluding chapter to show that the disappearance of the old religion and the old methods of teaching did not involve any real break in the continuity of thought, and that modern speculation has been, through the greater part of its history, a reproduction of Greek ideas in new combinations and under altered names.
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FORE:And yet as an honourable man he was bound to speak, indeed he had already spoken, for Gilbert Lawrence had been made privy to part of the story.
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FORE:Not that Xenophon is to be taken as a perfectly accurate exponent of the Socratic philosophy. His work, it must be remembered, was primarily intended to vindicate Socrates from a charge of impiety and immoral teaching, not to expound a system which he was perhaps incompetent to appreciate or understand. We are bound to accept everything that he relates; we are bound to include nothing that he does not relate; but we may fairly readjust the proportions of his sketch. It is here that a judicious use of Plato will furnish us with the most valuable assistance. He grasped Socratism in all its parts and developed it in all directions, so that by following back the lines of his system to their origin we shall be put on the proper track and shall know where to look for the suggestions which were destined to be so magnificently worked out.86
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