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A difficulty which, except in cases of unusual mental power, long practice can alone remove, and removes chiefly by rendering us familiar with all the configurations consistent with the general conditions of the theorem. From the considerations now adduced, the following conclusions seem to be established.
He was a native of Manchester, and was born in 1601, of a good family. "His excellent verses upon the twelve months," says Lilly, in his autobiography, "framed according to the configurations of each month, being blessed with success according to his predictions, procured him much reputation all over England.
Certain differential equations can be found, which hold at every instant for every particle of the system, and which, given the configuration and velocities at one instant, or the configurations at two instants, render the configuration at any other earlier or later instant theoretically calculable.
A system which is part of a deterministic system I shall call "determined"; one which is not part of any such system I shall call "capricious." It is to be observed that a system which has one set of determinants will in general have many. In the case of the motions of the planets, for example, the configurations of the solar system at any two given times will be determinants.
From these tables, among other things, the times of greatest elongation from the sun of the planets Mercury and Venus can be found. It may be added that only bright stars, and stars easily seen, are included in the charts, and there will be no danger of mistaking any of these stars for a planet, if the observer first carefully learns to recognize their configurations.
"I have been driven to this," says he, "not by studying or admiring Plato, but singly and solely by observing seasons, and noting the aspects by which they are produced. I have seen the state of the atmosphere almost uniformly disturbed as often as the planets are in conjunction, or in the other configurations so celebrated among astrologers.
Drawing from his pocket a sketch chart which he had already consulted several times during our passage up the river, he again studied it intently for several minutes, carefully comparing the configurations delineated upon it with our actual surroundings; then, apparently satisfied with the result, he refolded the paper, returned it to his pocket, and directed the coxswain to bear away a couple of points toward a projecting point which we afterwards discovered to be the western extremity of an islet on the far side of the river.
Thy Houses are ready come, and at least behold them. I wait the configurations." Thereupon, perfectly at ease, he watched the stellar hosts while, to their own music, they marched past the Thrones of the Most High Planets unchallenged except by him.
In the back part of the Nautical Almanac will be found two pages headed "Phenomena: Planetary Configurations." With the aid of these the student can determine the position of the planets with respect to the sun and the moon, and with respect to one another. The meaning of the various symbols used in the tables will be found explained on a page facing the calendar at the beginning of the book.
He was an excellent proficient in astrology, whose excellent verses upon the twelve months, framed according to the configurations of each month, being blessed with success according to his predictions, procured him much reputation all over England: he was a very honest man, abhorred any deceit in the art he studied; had a curious fancy in judging of thefts, and as successful in resolving love-questions: he was no mean proficient in astronomy; he understood much of physick; was a great admirer of the antimonial cup; not unlearned in chymistry, which he loved well, but did not practise.
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