Update cheatsheet.fr.md

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

@@ -105,6 +105,7 @@ Attention !!! En période très préliminaire d'élaboration et de construction
 = \displaystyle \oint_{\Gamma\leftrightarrow S} \overrightarrow{X}\cdot\overrightarrow{dl}`$*.
 
 * *Maxwell-Gauss* :   
+     
   À tout instant t, et pour tout volume $`\tau`$ :
   $`\forall \overrightarrow{r}, div \overrightarrow{E} = \dfrac{\dens}{\epsilon_0}`$
   $`\Longrightarrow \iiint_{\tau} div \overrightarrow{E}\,d\tau = \iiint_{\tau}\dfrac{\dens}{\epsilon_0}\,d\tau`$   
@@ -113,33 +114,11 @@ $`\left.\begin{array}{l}
 \iiint_{\tau} div \overrightarrow{E}\,d\tau = \iiint_{\tau}\dfrac{\dens}{\epsilon_0}\,d\tau \\
 \iiint_{\tau} div\;\overrightarrow{E} \cdot d\tau = \displaystyle 
 \oiint_{S\leftrightarrow\tau} \overrightarrow{E}\cdot\overrightarrow{dS}
-\end{array}\right\}
-\Longrightarrow`$
+\end{array}\right\}`$
+$`\Longrightarrow`$
 **$`\mathbf{\displaystyle \oiint_{S\leftrightarrow\tau} \overrightarrow{E}\cdot\overrightarrow{dS}
-= \dfrac{1}{\epsilon_0} \cdot \iiint_{\tau} \rho \cdot d\tau = \dfrac{Q_{int}}{\epsilon_0} `$}`$**
-
-  $`\Longrightarrow \iiint_{\tau} div \overrightarrow{E}\,d\tau = \iiint_{\tau}\dfrac{\dens}{\epsilon_0}\,d\tau`$
-$`\displaystyle\iint_S \overrightarrow{rot} \,\overrightarrow{E}\cdot \overrightarrow{dS}
-= -\displaystyle\iint_{S \leftrightarrow \tau} \dfrac{\partial \overrightarrow{B}}{\partial t}\cdot \overrightarrow{dS}`$
-$= - \dfrac{\partial}{\partial t} \left( \displaystyle\iint_S \overrightarrow{B}\cdot \overrightarrow{dS}\right)`$
-
-
-$`\Phi_E = \displaystyle \oiint_{S\leftrightarrow\tau} \overrightarrow{E}\cdot\overrightarrow{dS}
-= \dfrac{1}{\epsilon_0} \cdot \iiint_{\tau} \rho \cdot d\tau = \dfrac{Q_{int}}{\epsilon_0} `$
-
-------------
-
-$`\Phi_E = \displaystyle \oiint_{S\leftrightarrow\tau} \overrightarrow{E}\cdot\overrightarrow{dS}
-= \dfrac{Q_{int}}{\epsilon_0}`$
+= \dfrac{1}{\epsilon_0} \cdot \iiint_{\tau} \rho \cdot d\tau = \dfrac{Q_{int}}{\epsilon_0}}`$**
 
-------------------
-
-$`\left.\begin{array}{l}
-\cdot\cdot\cdot \\
-\cdot\cdot\cdot
-\end{array}\right\}
-\Longrightarrow`$
-**$`\mathbf{\cdot\cdot\cdot}`$**
 
 * *Maxwell-flux* :