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Laplace has treated these questions, and others of a much more complicated nature, with his accustomed superiority. In short, the Théorie Analytique des Probabilités is worthy of the author of the Mécanique Céleste.
It was in his kitchen, whilst giving orders to numerous domestics for the labours of the next day, that M. Raynal read with advantage the "Hydraulic Architecture" of Prony, the "Mécanique Analytique," and the "Mécanique Céleste." This excellent man often gave me useful advice; but I must say that I found my real master in the cover of M. Garnier's "Treatise on Algebra."
The Prefect of Paris, I have committed a mistake, Gentlemen, a proper name will not be out of place here, M. Chabrol, learns that his old professor at the Polytechnic School, that the Perpetual Secretary of the Institute of Egypt, that the author of the Théorie Analytique de la Chaleur, was reduced, in order to obtain the means of living, to give private lessons at the residences of his pupils.
Of his "Théorie des Fonctions," and that noblest achievement of the pure reason, the "Mécanique Analytique," we do not propose to speak, nor of the later developments of the Calculus, so largely due to his genius and labors.
"As to my late paper, a day or two ago sent off to London, it is merely mathematical and deductive. I ventured, indeed, to call it the 'Mecanique Analytique' of Lagrange, 'a scientific poem'; and spoke of Dynamics, or the Science of Force, as treating of 'Power acting by Law in Space and Time. In other respects it is as unpoetical and unmetaphysical as my gravest friends could desire."
In this analysis, we have deemed it right to concentrate all our attention upon the Mécanique Céleste. The Système du Monde and the Théorie Analytique des Probabilités would also require detailed notices.
"Laplace has endowed France, Europe, the scientific world, with three magnificent compositions: the Traité de Mécanique Céleste, the Exposition du Système du Monde, and the Théorie Analytique des Probabilités. In the present day there is no longer to be found a single copy of this last work at any bookseller's establishment in Paris.
I looked upon this question as a particular case of the theory of osculations which I had studied in Legrange's "Fonctions Analytiques." "Finally," said the examiner to me, "how do you determine the tension of the various cords of which a funicular machine is composed?" I treated this problem according to the method expounded in the "Mécanique Analytique."
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