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FORE:In the driving gearing of planing machines, conditions which favour the reversing movement are high speed and narrow driving belts. The time in which belts may be shifted is as their speed and width; to be shifted a belt must be deflected or bent edgewise, and from this cause wind spirally in order to pass from one pulley to another. To bend or deflect a belt edgewise there will be required a force in proportion to its width, and [133] the time of passing from one pulley to another is as the number of revolutions made by the pulleys.

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FORE:"There were other notes as well mentioned in that fateful letter. But what had become of the other notes? Nobody seemed to know or care about that. But the numbers were known, and strangely enough, eventually they turned up in this very house. They were paid over the gambling table that night that Isidore gave a cheque to the Marchioness. The question is, who paid those notes over, who was it who first brought them into the room that night?"

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FORE:The nature of dialectic is still further elucidated in the Phaedrus, where it is also contrasted with the method, or rather the no-method, of popular rhetoric. Here, again, discussions about love are chosen as an illustration. A discourse on the subject by no less a writer than Lysias is quoted and shown to be deficient in the most elementary requisites of logical exposition. The different arguments are strung together without any principle of arrangement, and ambiguous terms are used without being defined. In insisting on the necessity of definition, Plato followed Socrates; but he defines according to a totally different method. Socrates had arrived at his general notions partly by a comparison of particular instances with a view to eliciting the points where they agreed, partly by amending the conceptions already in circulation. We have seen that the earliest Dialogues attributed to Plato are one long exposure of the difficulties attending such a procedure; and his subsequent investigations all went to prove that nothing solid could be built on such shifting foundations as sense and opinion. Meanwhile increasing familiarity with the great ontological systems had taught him to begin with the most general notions, and to work down from them to the most particular. The consequence was that dialectic came to mean nothing but classification or logical division. Definition was absorbed into this process, and reasoning by syllogism was not yet differentiated from it. To tell what a thing was, meant to fix its place in the universal order of existence, and its individual existence was sufficiently accounted for by the same determination. If we imagine first a series of concentric circles, then a series of contrasts symmetrically disposed on either side of a central dividing line, and finally a series of transitions descending from the most absolute unity to the most irregular diversity��we shall, by combining the three schemes, arrive at some understanding of the Platonic dialectic. To assign anything its place in these various sequences was at once to define it and to demonstrate the necessity of222 its existence. The arrangement is also equivalent to a theory of final causes; for everything has a function to perform, marked out by its position, and bringing it into relation with the universal order. Such a system would inevitably lead to the denial of evil, were not evil itself interpreted as the necessary correlative of good, or as a necessary link in the descending manifestations of reality. Moreover, by virtue of his identifying principle, Plato saw in the lowest forms a shadow or reflection of the highest. Hence the many surprises, concessions, and returns to abandoned positions which we find in his later writings. The three moments of Greek thought, circumscription, antithesis, and mediation, work in such close union, or with such bewildering rapidity of alternation, through all his dialectic, that we are never sure whither he is leading us, and not always sure that he knows it himself.

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