Methodus inveniendi lineas curvas

AD CURVAS INVENIENDAS ABSOLUTA. 85 Ex his nunc colligentur incrementa valorum $\pi, \pi', \pi'', \pi'''$ &c. quae recipiunt ex translatione puncti n in $\nu$; erit scilicet d. $\pi = 0$ d. $\pi' = n\nu . dx . [\frac{T'}{dx^5}]$ d. $\pi'' = n\nu . dx ( [\frac{S''}{dx^4}] - \frac{4[T''] + d[T']}{dx^5} )$ d. $\pi''' = n\nu . dx ( [\frac{R'''}{dx^3}] - \frac{3[S'''] + d[S'']}{dx^4} + \frac{6[T'''] + 4d[T''] - d d[T']}{dx^5} )$ d. $\pi'''' = n\nu . dx ( [\frac{Q''''}{dx^2}] - \frac{2[R''''] + d[R''']}{dx^3} + \frac{3[S''''] + 3d[S'''] - d d[S'']}{dx^4} - \frac{4[T''''] + 6d[T'''] - 4d d[T''] + d^3[T']}{dx^5} )$ d. [TRUNCATED]