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THREE:But they were always German officers and no others who talked about francs-tireurs, and at Vis��, Li��ge, Dinant, Bilsen, and particularly at Louvain, they constantly pressed me and tried to make me promise that I should write to De Tijd about francs-tireurs and justify the devastations. These stories emanated from the officers and permeated the rank and file; and the men grew fearfully angry with the Belgians, whom they cursed and abused. It also made the soldiers terribly afraid of francs-tireurs, and I noticed many a time that some loud sound from a falling wall, for example, made a whole troop of soldiers jump up, lay hold of their rifles, and hide themselves in an absolute "blue funk." The mere noise made them curse and rage and talk of nothing but burning houses.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 earth��s 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.