THREE:She rose to her feet, standing slender and erect, the roused fawn on one side and the naked savage on the other. And they faced each other, disconcerted, caught mute in the reverberation, indefinite, quivering, of a chord which had been struck somewhere in the depths of that Nature to which we are willing enough to grant the power of causing the string of an instrument to pulse to the singing of its own note, but whose laws of sympathetic vibration we would fain deny beyond material things.
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THREE:And so he had to accept it. He rose, with a slight sigh, and returned to the examination of his spoils.Meanwhile a new and powerful agency was about to interpose with decisive effect in the doubtful struggle. This was the study of mathematics. Revived by the Arabians and never wholly neglected during the Middle Ages, it had profited by the general movement of the Renaissance, and was finally applied to the cosmical problem by Galileo. In this connexion, two points of profound philosophical interest must be noted. The first is that, even in its fall, the Aristotelian influence survived, to some extent, both for good and for evil. To Aristotle belongs the merit of having been the first to base astronomy on physics. He maintains the earths immobility on experimental no less than on speculative grounds. A stone thrown straight up in the air returns to its starting-point instead of falling to the west of it; and the absence of stellar385 parallax seems to show that there is no change in our position relatively to the heavenly bodies. After satisfying himself, on empirical considerations, that the popular astronomy is true, he proceeds to show that it must be true, by considerations on the nature of matter and motion, which, although mistaken, are conceived in a genuinely scientific spirit. Now Galileo saw that, to establish the Copernican system, he must first grapple with the Peripatetic physics, and replace it by a new dynamical theory. This, which he could hardly have effected by the ordinary mathematical methods, he did by borrowing the analytical method of Atomism and applying it to the measurement of motion. The law of falling bodies was ascertained by resolving their descent into a series of moments, and determining its rate of velocity at successive intervals; and curvilinear motions were similarly resolved into the combination of an impulsive with an accelerating force, a method diametrically opposed to that of Bacon, who would not even accept the rough analysis of the apparent celestial motions proposed by Greek astronomers.
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THREE:Landor's troop was stationed at Stanton, high up among the hills. It had come there from another post down in the southern part of the territory, where anything above the hundreds is average temperature, and had struck a blizzard on its march.161
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THREE:Instantly Dick pushed it into the center of the small space.
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