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THREE:To get rid of superstitious beliefs was, no doubt, a highly meritorious achievement, but it had been far more effectually57 performed by the great pre-Socratic thinkers, Heracleitus, Empedocles, Anaxagoras, and Democritus. These men or their followers had, besides, got hold of a most important principle��the vital principle of all science��which was the reign of law, the universality and indefeasibility of physical causation. Now, Epicurus expressly refused to accept such a doctrine, declaring that it was even worse than believing in the gods, since they could be propitiated, whereas fate could not.119 Again, Greek physical philosophy, under the guidance of Plato, had been tending more and more to seek for its foundation in mathematics. Mathematical reasoning was seen to be the type of all demonstration; and the best hopes of progress were staked on the extension of mathematical methods to every field of enquiry in turn. How much might be done by following up this clue was quickly seen not only in the triumphs of geometry, but in the brilliant astronomical discoveries by which the shape of the earth, the phases of the moon, and the cause of eclipses were finally cleared up and placed altogether outside the sphere of conjecture. Nor was a knowledge of these truths confined to specialists: they were familiar alike to the older Academy, to the Peripatetic, and to the Stoic schools; so that, with the exception of those who doubted every proposition, we may assume them to have been then, as now, the common property of all educated men. Epicurus, on the other hand, seems to have known nothing of mathematics, or only enough to dispute their validity, for we are told that his disciple Polyaenus, who had previously been eminent in that department, was persuaded, on joining the school, to reject the whole of geometry as untrue;120 while, in astronomy, he pronounced the heavenly bodies to be no larger than they appear to our senses, denied the existence of Antipodes, and put the crudest guesses of early philosophy on the same footing with the best-authenticated results of later observation. It is no wonder, then, that during the whole58 continuance of his school no man of science ever accepted its teaching, with the single exception of Asclepiades, who was perhaps a Democritean rather than a disciple of the Garden, and who, at any rate, as a physiologist, would not be brought into contact with its more flagrant absurdities.This proposition argues the expediency of reducing the proportions of mill gearing and increasing its speed, a change which has gradually been going on for fifty years past; but there are opposing conditions which make a limit in this direction, such as the speed at which bearing surfaces may run, centrifugal strain, jar, and vibration. The object is to fix upon a point between what high speed, light weight, cheapness of cost suggest, and what the conditions of practical use and endurance demand.

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THREE:Mr. van Wersch, whom I mentioned above, and who shared imprisonment with me at Bilsen, had a rather disagreeable adventure a few days afterwards, when he had the misfortune of being mistaken for the war-correspondent of De Tijd.III.

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THREE:Balmayne's move had been a clever one, and quite worthy of a mind like his. He recognised at once that Bruce's presence there meant danger. If Maitrank, in the excitement of the moment, chose to speak out, all the delicately-laid plans would be ruined.

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