Methodus inveniendi lineas curvas

AD CURVAS INVENIENDAS ABSOLUTA. 109 $d.[Z'']dx = m.dx.[L'']dx([n''] - \frac{d[p']}{dx} + \frac{dd[q]}{dx^2})$ $d.[Z''']dx = m.dx.[L''']dx([n'''] - \frac{d[p'']}{dx} + \frac{dd[q']}{dx^2})$ $d.[Z^{iv}]dx = nv.dx.[L^{iv}]dx([n^{iv}] - \frac{d[p''']}{dx} + \frac{dd[q'']}{dx^2})$ &c. Hinc porro deducitur: $d n = 0$ $d.n' = n v. dx. \frac{[Q]}{dx^2}$ $d.n'' = nv.dx([L']dx.\frac{[q]}{dx^2} + \frac{[p']}{dx} - \frac{[Q]+2d[Q]}{dx^2})$ $d.n''' = nv.dx([L''][p''] - \frac{[q]d[L'] + 2[L']d[q]}{dx} + [N''] - \frac{d[p']}{dx} + \frac{dd[Q]}{dx^2})$ $d.n^{iv} = nv. [TRUNCATED]