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those made by Newton himself,--laws which connect the mean distance of the planets from the sun with the times of their revolutions; laws which show that the orbits of planets are elliptical, not circular; and that the areas described by lines drawn from the moving planet to the sun are proportionable to the times employed in the motion. What an infinity of calculation, in the infancy of science,--before the invention of logarithms,--was necessary to arrive at these truths! What fertility of invention was displayed in all his hypotheses; what patience in working them out; what magnanimity in discarding those which were not true! What power of guessing, even to hit upon theories which could be established by elaborate calculations,--all from the primary thought, the grand axiom, which Kepler was the first to propose, that there must be some numerical or geometrical relations among the times, distances, and velocities of the revolving bodies of the solar system! It would seem that although his science was deductive, he invoked the aid of induction also: a great original genius, yet modest like Newton; a man who avoided hostilities, yet given to the most boundless enthusiasm on the subjects to which he devoted his life. How intense his raptures! "Nothing holds me," he writes, on discovering his great laws; "I will indulge in my sacred fury. I will boast of the golden vessels I have stolen from the Egyptians. If you forgive me, I rejoice. If you are angry, it is all the same to me. The die is cast; the book is written,--to be read either now, or by posterity, I care not which. It may well wait a century for a reader, as God has waited six thousand years for an observer." We do not see this sublime repose in the attitude of Galileo,--this falling back on his own conscious greatness, willing to let things take their natural course; but rather, on the other hand, an impatience under contradiction, a vehement scorn of adversaries, and an intellectual arrogance that gave offence, and impeded his career, and injured his fame. No matter how great a man may be, his intellectual pride is always offensive; and when united with sarcasm and mockery it will make bitter enemies, who will pull him down. Galileo, on his transfer to Padua, began to teach the doctrines of Copernicus,--a much greater genius than he, and yet one who provoked no enmities, although he made the greatest revolution in astronomical knowledge that any man ever m
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