Update cheatsheet.fr.md

12.temporary_ins/08.grad-div-rot/20.div/20.overview/cheatsheet.fr.md

@@ -14,12 +14,12 @@ visible: false
 
 ##### Expression de la divergence en coordonnées cartésiennes
 
-<br>**$`\boldsymbol{\mathbf{div\,\overrightarrow{X}\;=\;\color{gray}{\dfrac{d\Phi_X}{d\tau}}\;=\;\dfrac{\partial X_x}{\partial x}+\dfrac{\partial X_y}{\partial y}+\dfrac{\partial X_z}{\partial z}
+<br>**$`\boldsymbol{\mathbf{div\,\overrightarrow{X}\,=\,\color{gray}{\dfrac{d\Phi_X}{d\tau}}\,=\,\dfrac{\partial X_x}{\partial x}+\dfrac{\partial X_y}{\partial y}+\dfrac{\partial X_z}{\partial z}
 }}`$**
 
 ##### Expression de la divergence en coordonnées cylindriques
 
-<br>**$`\boldsymbol{\mathbf{div\,\overrightarrow{X}\;\color{gray}{=\;\dfrac{d\Phi_X}{d\tau}}\;=\;\dfrac{1}{\rho}\;\dfrac{\partial\,(\,\rho\,X_{\rho})}{\partial\,\rho}
+<br>**$`\boldsymbol{\mathbf{div\,\overrightarrow{X}\,\color{gray}{=\,\dfrac{d\Phi_X}{d\tau}}\,=\,\dfrac{1}{\rho}\;\dfrac{\partial\,(\,\rho\,X_{\rho})}{\partial\,\rho}
 +\dfrac{1}{\rho}\;\dfrac{\partial\,X_{\varphi}}{\partial\,\varphi}+\dfrac{\partial\,X_{z}}{\partial\,z}}}`$**
 
 <br>**$`div\,\overrightarrow{X}\;\color{gray}{=\;\dfrac{d\Phi_X}{d\tau}}\;=\;\dfrac{1}{\rho}\;\dfrac{\partial\,(\,\rho\,X_{\rho})}{\partial\,\rho}
@@ -28,8 +28,10 @@ visible: false
 ##### Expression de la divergence en coordonnées sphériques
 
 <br>**$`\mathbf{\boldsymbol{div\,\overrightarrow{X}\color{gray}{\;=\dfrac{d\Phi_X}{d\tau}}\,=
-\; \dfrac{1}{r^2}\;\dfrac{\partial\,(r^2\,X_r}{\partial\,r)}}}`$**
-**$`\hspace{3cm}\mathbf{\boldsymbol{+ \dfrac{1}{r\,sin\,\theta}\;\dfrac{\partial\,(sin\,\theta\,X_{\theta})}{\partial\,\theta}}}`$**
+\; \dfrac{1}{r^2}\;\dfrac{\partial\,(r^2\,X_r}{\partial\,r)}}}`$**   
+   
+**$`\hspace{3cm}\mathbf{\boldsymbol{+ \dfrac{1}{r\,sin\,\theta}\;\dfrac{\partial\,(sin\,\theta\,X_{\theta})}{\partial\,\theta}}}`$**   
+   
 **$`\hspace{5cm}\mathbf{\boldsymbol{+ \dfrac{1}{r\,sin\,\theta}\;\dfrac{\partial\,X_{\varphi}}{\partial\,\varphi}}}`$**