[129] Die Mathematik als Lehrgegenstand des Gymnasiums, Berlin, 1883.
[130] Wrong as it is to burden future physicians and scientists with Greek for the sake of the theologians and philologists, it would be just as wrong to compel theologians and philologists, on account of the physicians, to study such subjects as analytical geometry. Moreover, I cannot believe that ignorance of analytical geometry would be a serious hindrance to a physician that was otherwise well versed in quantitative thought. No special advantage generally is observable in the graduates of the Austrian gymnasiums, all of whom have studied analytical geometry. [Refers to an assertion of Dubois-Reymond.]
[131] Compare M. Cantor, Geschichte der Mathematik, Leipsic, 1880, Vol. I. p. 193.
[132] Compare Paulsen, l. c., pp. 607, 688.
[133] It is to be hoped that the Americans will jealously guard their schools and universities against the influence of the State.
[134] This article, which appeared in the Proceedings of the German Mathematical Society of Prague for the year 1892, is printed as a supplement to the article on "The Causes of Harmony," at page 32.
[135] The present exposition is taken from the volumes for 1700 (published in 1703) and for 1701 (published in 1704), and partly also from the Histoire de l'Académie and partly from the Mémoires. Sauveur's later works enter less into consideration here.
[136] Euler, Tentamen novae theoriae musicae, Petropoli, 1739.
[137] In attempting to perform his experiment of beats before the Academy, Sauveur was not quite successful. Histoire de l'Académie, Année 1700, p. 136.
[138] Histoire de l'Académie, Année 1701, p. 134.