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n them to the Academy of Sciences. The triumph of Leverrier was complete. It was after this that Arago, seeing the characteristics of his mind, said to him, 'Take up the movements of the planet Herschel,--watch them, analyze them, and tell us what it is that causes them.' Leverrier throws aside all other employments, and gives his mind to the investigation of this subject. He begins entirely back. He takes up the movements of the planets Jupiter and Saturn, and investigates them anew: he leaves nothing untouched. Finally, after having in the most absolute manner computed all the influence they exercise upon the planet Herschel, he says, 'I now know positively all existing causes that disturb the planet; but there is an outstanding power that disturbs it not yet accounted for, and now let me rise to a knowledge of that outstanding cause.' He did what no other man ever had attempted. He cleared up all difficulties;--he made all daylight before his gaze. And now, how shall I give to you an account of the train of reasoning by which he reached out into unknown space, and evoked from its bosom a mighty world? If you will give me the time, I will attempt to give you an idea of his mighty workings in the field of science. "In the first place, let it be remembered that the planets circulate through the heavens in nearly the same plane. If I were to locate the sun in the centre of the floor, in locating the planets around it, I should place them upon the floor in the same plane. The first thing that occurred to Leverrier, in looking for the planet, was this,--he need not look out of the plane of the ecliptic. Here, then, was one quarter in which the unknown body was to be found. The next thing was this,--where is it located, and what is its distance from the sun? The law of Bode gave to him the approximate distance. He found the distance of Saturn was about double that of Jupiter, and the distance of Herschel twice that of Saturn; and the probability was that the new planet would be twice the distance of Herschel,--and as Herschel's distance is 1,800,000 miles, the new planet's would be 3,600,000. Having approximated its distance, what is its periodic time?--for if he can once get its periodic time, he can trace it out without difficulty. According to the third of Kepler's laws, as the square of the period of Herschel is to the square of the period of the unknown planet, so is the cube of the distance of Herschel to the cube of
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