Update cheatsheet.fr.md

12.temporary_ins/90.electromagnetism-in-vacuum/10.maxwell-equations/20.overview/cheatsheet.fr.md

@@ -146,24 +146,26 @@ $`\Longrightarrow`$
      
   À tout instant t, et pour tout volume $`\tau`$ :
 
-   * $`\forall \overrightarrow{r}, \overrightarrow{rot} \;\overrightarrow{E} = -\dfrac{\partial \overrightarrow{B}}{\partial t}`$
-  $`\Longrightarrow \iiint_{\Ltau} \overrightarrow{rot} \;\overrightarrow{E}\,d\tau = \iiint_{\Ltau}\left(-\dfrac{\partial \overrightarrow{B}}{\partial t}\right) d\tau`$   
+   * $`\forall \overrightarrow{r}, \overrightarrow{rot} \,\overrightarrow{E} = -\dfrac{\partial \overrightarrow{B}}{\partial t}`$
+  $`\Longrightarrow \iiint_{\Ltau} \overrightarrow{rot} \,\overrightarrow{E}\,d\tau = \iiint_{\Ltau}\left(-\dfrac{\partial \overrightarrow{B}}{\partial t}\right) d\tau`$   
 
    * $`\left.\begin{array}{l}
-\iiint_{\Ltau} \overrightarrow{rot} \;\overrightarrow{E}\,d\tau = \iiint_{\Ltau}\left(-\dfrac{\partial \overrightarrow{B}}{\partial t}\right) d\tau \\
+\iiint_{\Ltau} \overrightarrow{rot} \,\overrightarrow{E}\,d\tau = \iiint_{\Ltau}\left(-\dfrac{\partial \overrightarrow{B}}{\partial t}\right) d\tau \\
 \text{Newton : espace et temps indépendants}
 \end{array}\right\}
 \Longrightarrow`$
-$`\iiint_{\Ltau} \overrightarrow{rot} \;\overrightarrow{E}\,d\tau = -\dfrac{\partial \overrightarrow{}}\left({\partial t}\iiint_{\Ltau}\overrightarrow{B} d\tau\right)`$   
-
+$`\iiint_{\Ltau} \overrightarrow{rot} \,\overrightarrow{E}\,d\tau = -\dfrac{\partial \overrightarrow{}\left({\partial t}\iiint_{\Ltau}\overrightarrow{B} d\tau\right)`$   
 
 
 $`\left.\begin{array}{l}
-\cdot\cdot\cdot \\
-\cdot\cdot\cdot
+\iiint_{\Ltau} \overrightarrow{rot} \,\overrightarrow{E}\,d\tau 
+= -\dfrac{\partial \overrightarrow{}\left({\partial t}\iiint_{\Ltau}\overrightarrow{B} d\tau\right) \\
+\iint_{S} \;\overrightarrow{rot}\,\overrightarrow{E} \cdot dS 
+= \oint_{\Gamma\leftrightarrow S} \overrightarrow{E}\cdot\overrightarrow{dl}
 \end{array}\right\}
 \Longrightarrow`$
-**$`\mathbf{\cdot\cdot\cdot}`$**
+**$`\mathbf{\displaystyle\iint_{S} \;\overrightarrow{rot}\,\overrightarrow{E} \cdot dS}
+= -\dfrac{\partial \overrightarrow{}{\partial t}\iiint_{\Ltau}\overrightarrow{B} d\tau}`$**
 
 * *Maxwell-Ampère* :