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Another difference between solid and expanding dies, which may be pointed out, is in the firmness with which the cutting edges are held. With a solid die, the edges or teeth being all combined in one solid piece, are firmly held in a fixed position; while with expanding dies their position has to be maintained by mechanical devices which are liable to yield under the pressure which arises in cutting. The result is, that the precision with which a screwing machine with movable dies will act, is dependent upon the strength of the 'abutment' behind the dies, which should be a hard unyielding surface with as much area as possible.

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"One of the reasons," Balmayne said sardonically.The next step was to create a method for determining the particular configuration on which any given property of matter depends. If such a problem could be solved at all, it would be by some new system of practical analysis. Bacon did not see this because he was a Schoolman, emancipated, indeed,377 from ecclesiastical authority, but retaining a blind faith in the power of logic. Aristotles Organon had been the great storehouse of aids to verbal disputation; it should now be turned into an instrument for the more successful prosecution of physical researches. What definitions were to the one, that Forms should be to the other; and both were to be determined by much the same process. Now Aristotle himself had emphatically declared that the concepts out of which propositions are constructed were discoverable by induction and by induction alone. With him, induction meant comparing a number of instances, and abstracting the one circumstance, if any, in which they agreed. When the object is to establish a proposition inductively, he has recourse to a method of elimination, and bids us search for instances which, differing in everything else, agree in the association of two particular marks.541 In the Topics he goes still further and supplies us with a variety of tests for ascertaining the relation between a given predicate and a given subject. Among these, Mills Methods of Difference, Residues, and Concomitant Variations are very clearly stated.542 But he does not call such modes of reasoning Induction. So far as he has any general name for them at all, it is Dialectic, that is, Syllogism of which the premises are not absolutely certain; and, as a matter of nomenclature, he seems to be right. There is, undoubtedly, a process by which we arrive at general conclusions from the comparison of particular instances; but this process in its purity is nothing more nor less than induction by simple enumeration. All other reasoning requires the aid of universal propositions, and is therefore, to that extent, deductive. The methods of elimination or, as they are now called, of experiment, involve at every step the assumption of378 general principles duly specified in the chapter of Mills Logic where they are analysed. And wherever we can rise immediately from, a single instance to a general law, it is because the examination of that single instance has been preceded by a chain of deductive reasoning.
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In order to understand how so vigorous an intellect could go so wildly astray, we must glance at his personal history, and at the manner in which his system seems to have been gradually built up.A long slip of paper was thrust into her hand. Her quick brain grasped the significance. Maitrand had struck, and struck hard. These men were in possession for nearly 100,000--vulgar bailiffs such as come and sell the goods of poor people who cannot pay their rent. Leona Lalage remembered now the conditions under which she had borrowed money from Maitrank. He had her in his power. It seemed a vile thing to do when she had put him off with the very jewels from about her neck. And she was powerless--she could not have these men turned into the street. Most of her guests would understand sooner or later. Tomorrow this would be public property. Once the tongue of rumour started the crash was bound to follow.His keen intellect had not quite come back to him, he was still suffering from the effects of the drug. He had been robbed just at the moment when everything seemed to be going in his favour. His vanity was touched.
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