Desiring wider opportunities for study and for the acquisition of fame than could be obtained in the narrow associations of provincial life, young Laplace started for Paris, being provided with letters of introduction to D’Alembert, who then occupied the most prominent position as a mathematician in France, if not in the whole of Europe.  D’Alembert’s fame was indeed so brilliant that Catherine the Great wrote to ask him to undertake the education of her Son, and promised the splendid income of a hundred thousand francs.  He preferred, however, a quiet life of research in Paris, although there was but a modest salary attached to his office.  The philosopher accordingly declined the alluring offer to go to Russia, even though Catherine wrote again to say:  “I know that your refusal arises from your desire to cultivate your studies and your friendships in quiet.  But this is of no consequence:  bring all your friends with you, and I promise you that both you and they shall have every accommodation in my power.”  With equal firmness the illustrious mathematician resisted the manifold attractions with which Frederick the Great sought to induce him, to take up his residence at Berlin.  In reading of these invitations we cannot but be struck at the extraordinary respect which was then paid to scientific distinction.  It must be remembered that the discoveries of such a man as D’Alembert were utterly incapable of being appreciated except by those who possessed a high degree of mathematical culture.  We nevertheless find the potentates of Russia and Prussia entreating and, as it happens, vainly entreating, the most distinguished mathematician in France to accept the positions that they were proud to offer him.

It was to D’Alembert, the profound mathematician, that young Laplace, the son of the country farmer, presented his letters of introduction.  But those letters seem to have elicited no reply, whereupon Laplace wrote to D’Alembert submitting a discussion on some point in Dynamics.  This letter instantly produced the desired effect.  D’Alembert thought that such mathematical talent as the young man displayed was in itself the best of introductions to his favour.  It could not be overlooked, and accordingly he invited Laplace to come and see him.  Laplace, of course, presented himself, and ere long D’Alembert obtained for the rising philosopher a professorship of mathematics in the Military School in Paris.  This gave the brilliant young mathematician the opening for which he sought, and he quickly availed himself of it.

Laplace was twenty-three years old when his first memoir on a profound mathematical subject appeared in the Memoirs of the Academy at Turin.  From this time onwards we find him publishing one memoir after another in which he attacks, and in many cases successfully vanquishes, profound difficulties in the application of the Newtonian theory of gravitation to the explanation of the solar system.  Like his great contemporary Lagrange, he loftily attempted problems which demanded consummate analytical skill for their solution.  The attention of the scientific world thus became riveted on the splendid discoveries which emanated from these two men, each gifted with extraordinary genius.