[20] Kant, in his Prolegomena zu jeder künftigen Metaphysik, also refers to this fact, but for a different purpose.
[21] Compare Mach, Fichte's Zeitschrift für Philosophie, 1864, p. 1.
[22] The fact that the first and second differential coefficients of a curve are directly seen, but the higher coefficients not, is very simply explained. The first gives the position of the tangent, the declination of the straight line from the position of symmetry, the second the declination of the curve from the straight line. It is, perhaps, not unprofitable to remark here that the ordinary method of testing rulers and plane surfaces (by reversed applications) ascertains the deviation of the object from symmetry to itself.
[23] See the lecture On the Causes of Harmony.
[24] A. von Oettingen, Harmoniesystem in dualer Entwicklung. Leipsic and Dorpat, 1866.
[25] Compare Mach's Zur Theorie des Gehörorgans, Vienna Academy, 1863.
[26] A lecture delivered at the International Electrical Exhibition, in Vienna, on September 4, 1883.
[27] If the two bodies were oppositely electrified they would exert attractions upon each other.
[28] The quantity which flows off is in point of fact less than q. It would be equal to the quantity q only if the inner coating of the jar were wholly encompassed by the outer coating.
[29] Rigorously, of course, this is not correct. First, it is to be noted that the jar L is discharged simultaneously with the electrode of the machine. The jar F, on the other hand, is always discharged simultaneously with the outer coating of the jar L. Hence, if we call the capacity of the electrode of the machine E, that of the unit jar L, that of the outer coating of L, A, and that of the principal jar F, then this equation would exist for the example in the text: (F + A)/(L + E) = 5. A cause of further departure from absolute exactness is the residual charge.