^{page 160 note *} To avoid the constant repetition of the term “approx” use might be made of the convenient sign = for “approximately equal to.” (See J.I.A., LI. 134.)

^{page 161 note *} More correctly, the Euler-Maclaurin Expansion.

^{page 161 note †} See footnote on previous page.

^{page 165 note *} The words of the late SirHardy, G. F. on this subject have just come to our notice: “It may also happen that where the curve is generally irregular or of a complicated character it is easier to represent successive sections by curves of the 3rd order than the whole by a simple curve of the 7th order.” (J.I.A., XXIV. 100.)Google Scholar