Methodus inveniendi lineas curvas

AD CURVAS INVENIENDAS ABSOLUTA. 117 $\mathfrak{d} = dx ( [L]\mathfrak{a} + [L']\mathfrak{b} + [L'']\mathfrak{c} + [N'] - \frac{d[P']}{dx} + \frac{dd[Q]}{dx^2} )$ $\mathfrak{e} = dx ( [L]\mathfrak{a} + [L']\mathfrak{b} + [L'']\mathfrak{c} + [L''']\mathfrak{d} + [N''] - \frac{d[P'']}{dx} + \frac{dd[Q']}{dx^2} )$ &c. Ex hisque aequationibus elicitur: $\mathfrak{a} = 0$ $\mathfrak{b} = \frac{[Q]}{dx}$ $\mathfrak{c} = [L'][Q] + [P'] - \frac{[Q]+2d[Q]}{dx}$ $\mathfrak{d} = [L'']\mathfrak{a} + [L'][L']\mathfrak{b}dx + [L''][P']dx - [L'']\mathfrak{c} - 2[L'']d\mathfrak{b} + [N']dx - d[P'] + \frac{dd[Q]}{dx}$ feu $\mathfrak{d} = [L''][L']\mathfrak{b}dx + [ [TRUNCATED]