by Means of the Measures of Angles and Ratios .

x flu. + BM?* x flu. zM** - **

AM 1 * BM ’ rs57! — p ' it — q

M*

vf+p 1

(by substituting the values of p, q, A, and B). But

in order to render the solution general, the value osy thusfound must, always, be corrected, or augmented by the quan-tity aM. px -J- jGIVP* -j- <yM rx &c. (given by Prob. IV.) where ay> <5> &£• may denote any constant quantities whatever,positive, or negative.—Other instances of the use of exponentialquantities, and of the measures of angles and ratios, in theresolution of fluxionary equations of different kinds, might begiven; but I shall conclude here, with observing, that A, inthis last solution, may denote any quantity wherein both yand z enter, as well as one in which z is alone concerned in-dependent of y.

97