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The method, invented by Descartes, of represeutmg all the parts of a geometrical magnitude by a smgle equation, has wrought an entire change in the mathematical and physical sciences. Before his time, theM easures of the Geometrical Magnitudes were alone subjected to the processes of A lgebra. He extended the analysis to the determination of their positions and forms. By this happy invention, modes of investigation at once difficult and disconnected, and dependent for success, in each particular case, on the skill and ingenuity of the inquirer, and often on accident, are reduced to a simple and uniform process. The great work of La Place, is the legitimate fruit of this discovery. Here, all the formulas necessary for determining the positions and motions of the bodies of the solar system, are deduced from the single law of gravitation, and expressed in general equations. The first edition of the Analytical Geometry was published in 1836.
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