...soon as the symbols of the trigonometrical ratios are recognized as capable of entering into formulaB and of being manipulated they should be regarded as...the graphic symbol of the function. Both algebra and trigono• metry would gain by fusion : the former through an added variety and richness in the illustrations...

...of algebra. There is, indeed, no principle, except the invalid principle of formal segrega2 * tion, upon which we can include the study of x" or of a*...Both algebra and trigonometry would gain by fusion : the»former through an added variety and richness in the illustrations of its main themes ; the latter...