[960]. Most of his [Euler’s] memoirs are contained in the transactions of the Academy of Sciences at St. Petersburg, and in those of the Academy at Berlin. From 1728 to 1783 a large portion of the Petropolitan transactions were filled by his writings. He had engaged to furnish the Petersburg Academy with memoirs in sufficient number to enrich its acts for twenty years—a promise more than fulfilled, for down to 1818 [Euler died in 1793] the volumes usually contained one or more papers of his. It has been said that an edition of Euler’s complete works would fill 16,000 quarto pages.—Cajori, F.
History of Mathematics (New York, 1897), pp. 253-254.
[961]. Euler who could have been called almost without metaphor, and certainly without hyperbole, analysis incarnate.—Arago.
Oeuvres, t. 2 (1854), p. 433.
[962]. Euler calculated without any apparent effort, just as men breathe, as eagles sustain themselves in the air.—Arago.
Oeuvres, t. 2 (1854), p. 133.
[963]. Two of his [Euler’s] pupils having computed to the 17th term, a complicated converging series, their results differed one unit in the fiftieth cipher; and an appeal being made to Euler, he went over the calculation in his mind, and his decision was found correct.—Brewster, David.
Letters of Euler (New York, 1872), Vol. 2, p. 22.
[964]. In 1735 the solving of an astronomical problem, proposed by the Academy, for which several eminent mathematicians had demanded several months’ time, was achieved in three days by Euler with aid of improved methods of his own.... With still superior methods this same problem was solved by the illustrious Gauss in one hour.—Cajori, F.