Discussion Page:Henri Poincaré - Les méthodes nouvelles de la mécanique céleste, Tome 1, 1892.djvu/376

La formule originale (18)

\left\{{\begin{aligned}{\frac {d\theta _{i}^{0}}{dt}}&=0,&{\frac {d\theta _{i}^{1}}{dt}}+w\,{\frac {d\theta _{i}^{0}}{dw}}&=\Theta _{i}^{0},\\{\frac {d\theta _{i}^{2}}{dt}}+w\,{\frac {d\theta _{i}^{1}}{dw}}&=\Theta _{i}^{1},\quad \ldots ,&{\frac {d\theta _{i}^{p}}{dt}}+w\,{\frac {d\theta _{i}^{p-1}}{\underline {\underline {\,dt\,}}}}&=\Theta _{i}^{p-1}\end{aligned}}\right.

a été corrigée en

\left\{{\begin{aligned}{\frac {d\theta _{i}^{0}}{dt}}&=0,&{\frac {d\theta _{i}^{1}}{dt}}+w\,{\frac {d\theta _{i}^{0}}{dw}}&=\Theta _{i}^{0},\\{\frac {d\theta _{i}^{2}}{dt}}+w\,{\frac {d\theta _{i}^{1}}{dw}}&=\Theta _{i}^{1},\quad \ldots ,&{\frac {d\theta _{i}^{p}}{dt}}+w\,{\frac {d\theta _{i}^{p-1}}{\underline {\underline {\,dw\,}}}}&=\Theta _{i}^{p-1}\end{aligned}}\right.

(la dérivée de $\theta _{i}^{p-1}$ est par rapport à $w$ )