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Updated: May 2, 2025
Euler, although farther advanced than Newton in a knowledge of the planetary pertubations, refused also to admit that the solar system was constituted so as to endure for ever. Never did a greater philosophical question offer itself to the inquiries of mankind. Laplace attacked it with boldness, perseverance, and success.
In this sense, Buonaparte was right when he said that many of the questions which come before a General for decision would make problems for a mathematical calculation not unworthy of the powers of Newton or Euler.
Jourdain has shown in a recent monograph, Maupertuis enunciated it incorrectly without realising its true import, and a far more accurate and scientific statement of it was given, within a few months, by Euler.
The sublime remark of Euler on his law of arches, "This will be found contrary to all experience, yet is true;" had already transferred nature into the mind, and left matter like an outcast corpse. Intellectual science has been observed to beget invariably a doubt of the existence of matter.
Walter began to feel hungry; for there is nothing like flying to give you an appetite, as Mr Euler would surely tell you, but the kite allowed him no time even to gather a few raspberries on the way. At last they came to a place where several paths crossed. Here the woods took another character: dark firs grew in the place of beeches and oaks.
Several of the prominent astronomers of the later seventeenth century lived on into the opening years of the following century, however, and the younger generation soon developed a coterie of astronomers, among whom Euler, Lagrange, Laplace, and Herschel, as we shall see, were to accomplish great things in this field before the century closed.
So Christophe told himself, for he judged himself to have been unjust, and tried to surmount his first impressions, and to discover in them the excellent qualities which they so carefully concealed. He tried to converse with old Justus Euler, who asked nothing better. He had a secret sympathy with him, remembering that his grandfather had liked to praise him.
Author. The problem of three bodies was solved independently about the same time by Euler, D'Alembert, and Clairaut. The two last-mentioned geometers communicated their solutions to the Academy of Sciences on the same day, November 15, 1747. Euler had already in 1746 published tables of the moon, founded on his solution of the same problem, the details of which he subsequently published in 1753.
It was Euler also who demonstrated that within certain fixed limits the eccentricities and places of the aphelia of Saturn and Jupiter are subject to constant variation, and he calculated that after a lapse of about thirty thousand years the elements of the orbits of these two planets recover their original values.
The premise requires proof, as much as the conclusion; nor can it be proved, except by that more comprehensive view of the nature of multiplication, and of algebraic processes in general, which would also supply a far better proof of the mysterious doctrine which Euler is here endeavoring to demonstrate.
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