Methodus inveniendi lineas curvas

32 DE METHODO MAX. ET MIN. ABSOLUTA $p'$ decrescet particula $\frac{nv}{dx}$. Similique modo reliquarum quantitatum incrementa vel decrementa reperientur, delendo in earum valoribus supra exhibitis omnes valores ipsius $y$, praeter hunc $y'$, hujusque loco scribendo $nv$. Hoc modo omnium quantitatum determinatarum, quae quidem mutationem patiuntur, incrementa in sequenti Tabella congessimus Quant. Increm. $y'$ $+nv$ $p$ $+\frac{nv}{dx}$ $p'$ $-\frac{nv}{dx}$ $q_1$ $+\frac{nv}{dx^2}$ $q$ $-\frac{2nv}{dx^2}$ $q'$ $+\frac{nv}{dx^2}$ $r_{''}$ $+\frac{nv}{dx^3}$ $r_1$ $-\frac{3nv}{dx^3}$ $r$ $+\frac{3nv}{dx^3}$ $r'$ $-\frac{nv}{dx^3}$ Quant. Increm. $s_{'''}$ $+\frac{nv}{dx^4}$ $s_{''}$ $-\frac{4nv}{dx^4}$ $s_1$ $+\frac{6nv}{dx^4}$ $s$ $-\frac{4nv}{dx^4}$ $s'$ $+\frac{nv}{dx^4}$ $t_{''''}$ $+\frac{nv}{dx^5}$ $t_{'''}$ $-\frac{5nv}{dx^5}$ $t_{''}$ $+\frac{10nv}{dx^5}$ $t_1$ $-\frac{10nv}{dx^5}$ $t$ $+\frac{5nv}{dx^5}$ $t'$ $-\frac{nv}{dx^5}$ Atque ex hac Tabella etiam ulteriorum quantitatum, si quae occurrunt, incrementa vel decrementa facile cognosci poterunt. Q. E. I. C o