Update cheatsheet.fr.md

12.temporary_ins/20.magnetostatics-vacuum/40.ampere-theorem-applications/30.cylindrical-current-distributions/10.rectilinear-current/20.ampere-local/20.overview/cheatsheet.fr.md

@@ -202,6 +202,18 @@ P_1\,(M, \overrightarrow{e_{\rho}}, \overrightarrow{e_z})\; \text{plan de symét
 
 * $`\Longrightarrow`$ nous choisissons l'*expression en coordonnées cylindriques* du rotationnel  :   
 <br>
+**$`\begin{align}
+\mathbf{\overrightarrow{rot}\,\overrightarrow{B}}
+&\boldsymbol{\mathbf{=\left(\dfrac{1}{\rho}\,\dfrac{\partial B_z}{\partial\varphi}\;-\;\dfrac{\partial B_{\varphi}}{\partial z}\right)\,\overrightarrow{e_{\rho}}}}\\
+\\
+&\boldsymbol{\mathbf{\quad +\left(\dfrac{\partial B_{\rho}}{\partial z}\;-\;\dfrac{\partial B_z}{\partial \rho}\right)\,\overrightarrow{e_{\varphi}}}}\\
+\\
+&\boldsymbol{\mathbf{\quad +
+\,\dfrac{1}{\rho}\,\left(\dfrac{\partial (\,\rho\,B_{\varphi})}{\partial \rho}\;-\;\dfrac{\partial B_{\rho}}{\partial \varphi}\right)
+\,\overrightarrow{e_z}}}
+\end{align}`$**
+
+<!-----------------------------------
 $`\begin{align}
 &\overrightarrow{rot}\,\overrightarrow{B}\cdot\overrightarrow{e_{\rho}}=
 \dfrac{1}{\rho}\,\dfrac{\partial B_z}{\partial\varphi}\;-\;\dfrac{\partial B_{\varphi}}{\partial z}\\
@@ -211,19 +223,8 @@ $`\begin{align}
 \\
 &\overrightarrow{rot}\,\overrightarrow{B}\cdot\overrightarrow{e_z}=
 \dfrac{1}{\rho}\,\left(\dfrac{\partial (\rho\,B_{\varphi})}{\partial \rho}\;-\;\dfrac{\partial B_{\rho}}{\partial \varphi}\right)
-\end{align}`$   
-<br>
-$`\begin{align}
-\mathbf{\overrightarrow{rot}\,\overrightarrow{B}}
-&\boldsymbol{\mathbf{=\left(\dfrac{1}{\rho}\,\dfrac{\partial B_z}{\partial\varphi}\;-\;\dfrac{\partial B_{\varphi}}{\partial z}\right)\,\overrightarrow{e_{\rho}}}}\\
-\\
-&\boldsymbol{\mathbf{\quad +\left(\dfrac{\partial B_{\rho}}{\partial z}\;-\;\dfrac{\partial B_z}{\partial \rho}\right)\,\overrightarrow{e_{\varphi}}}}\\
-\\
-&\boldsymbol{\mathbf{\quad +
-\dfrac{1}{\rho}\,\left(\dfrac{\partial (\,\rho\,B_{\varphi})}{\partial \rho}\;-\;\dfrac{\partial B_{\rho}}{\partial \varphi}\right)
-\,\overrightarrow{e_z}}}
-\end{align}`$
-
+\end{align}`$  
+------------------------>
 <!--A ADAPTER AU CHAMP MAGNETIQUE-----------
 
 **$`\mathbf{div\overrightarrow{E}=