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Updated: May 2, 2025
Five geometers, Clairaut, Euler, D'Alembert, Lagrange, and Laplace, shared between them the world of which Newton had disclosed the existence.
Leslie's and having the eyebrows themselves lifted up at their exterior ends quite out of the usual line, a peculiarity which Spurzheim had remarked in the countenances of almost all the great mathematical or calculating geniuses such, for example, if I rightly remember, as Sir Isaac Newton himself, Kaestener, Euler, and many others.
M. Cousin fascinated us, but Pierre Leroux, with his tone of profound conviction and his thorough appreciation of the great problems awaiting solution, exercised a still more potent influence, and we did not see the shortcomings of his studies and the sophistry of his mind. My customary course of reading was Pascal, Malebranche, Euler, Locke, Leibnitz, Descartes, Reid, and Dugald Stewart.
EULER. The most easterly of the row of great ring-plains, which, beginning on the W. with Autolycus, and followed by Archimedes, Timocharis, and Lambert, extends almost in a great circle from the N.W. to the S.E. side of the Mare Imbrium. It is about 19 miles in diameter, and is surrounded by terraced walls, which, though of no great height above the Mare, rise 6000 feet above the floor.
Just at that moment her eyes met her grandfather's and her father's; they were sitting smoking their pipes, and leaning against the wall of the house. The two men winked at each other, and Justus Euler said to Vogel: "They will make a fine couple." Christophe, whose back was turned, saw nothing, but Rosa was so bowled over by it that she forgot that she was jumping down, and sprained her foot.
Justus Euler was a little bent old man, with uneasy, gloomy eyes, a red face, all lines and pimples, gap-toothed, with an unkempt beard, with which he was forever fidgeting with his hands. Very honest, quite able, profoundly moral, he had been on quite good terms with Christophe's grandfather. He was said to be like him.
Of the reward which had been offered, three thousand pounds were paid to the widow of Mayer, and three thousand pounds to the celebrated mathematician Euler for having invented the methods used by Mayer in the construction of his tables. The issue of the Nautical Ephemeris was intrusted to Dr. Maskelyne. Like other publications of this sort this ephemeris has gradually increased in volume.
Old Euler would not have needed much urging to make him declare that his granddaughter had the nose of the Juno Ludovisi. Happily he was too grumpy to pay compliments: and Rosa, unconcerned about the shape of her nose, had no vanity except in the accomplishment, with all the ritual, of the famous household duties. She had accepted as Gospel all that she had been taught.
Frau Vogel could not forgive her that. It was almost as though Sabine did it on purpose, on purpose, ironically, to set at naught by her conduct the great traditions, the true principles, the savorless duty, the pleasureless labor, the restlessness, the noise, the quarrels, the mooning ways, the healthy pessimism which was the motive power of the Euler family, as it is that of all respectable persons, and made their life a foretaste of purgatory.
The discovery of which I have just given an account to the reader excluded at least from the solar system the idea of the Newtonian attraction being a cause of disorder. But might not other forces, by combining with attraction, produce gradually increasing perturbations as Newton and Euler dreaded? Facts of a positive nature seemed to justify these fears.
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