« Page:Poincaré - Sur la dynamique de l’électron.djvu/16 » : différence entre les versions

Remarquons que

<center><math>\xi^{\prime}=\frac{\xi+\epsilon}{1+\xi\epsilon},\quad\eta^{\prime}=\frac{\eta}{k\left(1+\xi\epsilon\right)}</math></center>

{{MathForm1||<math>kl\left(1+\xi\epsilon\right)\delta U=\delta U^{\prime}\left(1+\xi\epsilon\right)+\left(\xi+\epsilon\right)kl\epsilon\delta U,</math>

<math>\delta V=\frac{1}{l}\delta V^{\prime}+\frac{k\epsilon}{l}\eta\delta U^{\prime},</math>}}

<center><math>\delta W=\frac{1}{l}\delta W^{\prime}+\frac{k\epsilon}{l}\zeta\delta U^{\prime};</math></center>

{{MathForm1|(3)|<math>\sum X\delta U=\frac{1}{l}\left(kX\delta U^{\prime}+Y\delta V^{\prime}+Z\delta W^{\prime}\right)+\frac{k\epsilon}{l}\delta U^{\prime}\sum X\xi.</math>}}

<math>\sum\alpha^{\prime2}=\sum\alpha^{2}+2\epsilon\left(g\gamma-h\beta\right),</math>}}

<center><math>\sum f^{\prime2}+\sum\alpha^{\prime2}=\sum f^{2}+\sum\alpha^{2}+4\epsilon\left(g\gamma-h\beta\right).</math></center>