^{page 130 note *} Cayley, A., “Note sur l'addition des fonctions elliptiques,” Crelle's Journ., xli, pp. 57–65Google Scholar; or Collected Math. Papers, i, pp. 540–549.

^{page 132 note *} The reference made to Retali (Le Mat. pure ed appl., i, pp. 14–16) is unimportant.

^{page 133 note *} Also, we may add, by at once putting c ₁c ₄, c ₅, c ₆ equal to 0.

^{page 133 note †} See below, p. 147, under Muir, T. (1903).

^{page 134 note *} Still simpler is a question put in the Math. Gaz., ii (1903), p. 363, in regard to an alternant equal to The equality given in the Educ. Times, lxvi (1913), p. 218, dates back to 1876 at least; and the set of equations dealt with in the American Math. Monthly, viii (1901–2), p. 266; ix, pp. 136–137, 162, is that known as Lagrange's (Hist., ii, p. 155).

^{page 135 note *} Archiv (3), ix, pp. 113–143.

^{page 140 note *} Educ. Times, lvi, p. 157.

^{page 143 note *} This may be readily proved by multiplying the left-hand member by

or the right-hand member by

A similar result is that

^{page 147 note *} Junge, G., Zur Hauptaufgabe der symmetrischen Funktionen. Dissert. Berlin, 1917.