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While the followers of Copernicus were persecuted as infidels, Kepler was branded with the stigma of heresy, "because," said he, "I take that side which seems to me to be consonant with the Word of God."
Thus far science, outside of pure mathematics, is made up of theories which are greatly modified by advancing knowledge, so that they cannot claim in all respects to be eternally established, like the laws of Kepler and the discoveries of Copernicus, the latter of which were only true in the main fact that the earth revolves around the sun.
So Kepler, another great philosopher, speaking of his studies and his progress, said: "As in Virgil, 'Fama mobilitate viget, vires acquirit eundo, so it was with me, that the diligent thought on these things was the occasion of still further thinking; until at last I brooded with the whole energy of my mind upon the subject."
Thus the comet predicted by Klinkerfues and discovered by Pogson had already lagged to the extent of twelve weeks, and we shall meet instances farther on where the retardation is counted, not by weeks, but by years. Here original identity emerges only from calculation and comparison of orbits. Comets, then, die, as Kepler wrote long ago, sicut bombyces filo fundendo.
He can trace his scientific descent from generation to generation, through the periods of Arabian and medieval science, through Copernicus, Kepler, Newton, Laplace, and Herschel, down to the present time. The evolution of astronomical knowledge, generally slow and gradual, offering little to excite the attention of the public, has yet been marked by two cataclysms.
These doctrines were ever present to the mind of Kepler; and to what fruitful account he turned Analogy as a means of inductive speculation his wonderful anatomy of his discoveries reveals. He fed on the harmonies of the universe. He has it, that "harmony is the perfection of relations."
No person dreaded more the scientific errors which the imagination gives birth to, when it ceases to remain within the limits of facts, of calculation, and of analogy. Once, and once only, did Laplace launch forward, like Kepler, like Descartes, like Leibnitz, like Buffon, into the region of conjectures. His conception was not then less than a cosmogony.
Led to these considerations by various problems of unusual difficulty proposed by the great Kepler, who appears to have introduced infinitely great and infinitely small quantities into mathematical calculations for the first time, in a tract on the measure of solids, Cavalleri enounced the principle, that all lines are composed of an infinite number of points, all surfaces of an infinite number of lines, and all solids of an infinite number of surfaces.
We trace the progress of astronomy through Hipparchus and Ptolemy; and, after a long halt, through Copernicus, Galileo, Tycho Brahe, and Kepler; while from the high table-land of thought occupied by these men, Newton shoots upwards like a peak, overlooking all others from his dominant elevation. But other objects than the motions of the stars attracted the attention of the ancient world.
Johann Kepler is the name of the man whose place, as is generally agreed, would have been the most difficult to fill among all those who have contributed to the advance of astronomical knowledge. He was born at Wiel, in the Duchy of Wurtemberg, in 1571. He held an appointment at Gratz, in Styria, and went to join Tycho Brahe in Prague, and to assist in reducing his observations.
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