Update textbook.fr.md

12.temporary_ins/40.classical-mechanics/30.n3/42.point-dynamics-applications/05.point-dynamics-method/10.main/textbook.fr.md

@@ -105,9 +105,9 @@ Ecriture générale de son vecteur vitesse $`\overrightarrow{v_M}`$
 <br>
 $`\displaystyle\hspace{1.0cm}=\dpt{\overrightarrow{OO'}}
 +\sum_{i=1}^3 \Big(\dpt{\alpha_{iM}}\cdot\overrightarrow{e_{\alpha_{i}}}_M+\alpha_{iM}\cdot\dpt{\overrightarrow{e_{\alpha_{i}}}}_M\Big)`$
-<br>
+<br><br>
 **$`\displaystyle\hspace{1.0cm}\mathbf{=\dpt{\overrightarrow{OO'}}
-+\sum_{i=1}^3 \dpt{\alpha_{iM}}\cdot\overrightarrow{e_{\alpha_{i}}}_M + \sum_{i=1}^3\alpha_{iM}\cdot\dpt{\overrightarrow{e_{\alpha_{i}}}}_M}`$**
++\sum_{i=1}^3 \dpt{\alpha_{i\,M}}\cdot\overrightarrow{e_{\alpha_{i}}}_M + \sum_{i=1}^3\alpha_{i\,M}\cdot\dpt{\overrightarrow{e_{\alpha_{i}}}}_M}`$**
 
 Ecriture générale de son vecteur accélération $`\overrightarrow{a_M}`$  
 <br>
@@ -120,9 +120,9 @@ $`\displaystyle\begin{align}\hspace{1.0cm} =\ddpt{\overrightarrow{OO'}}
 \end{align}`$   
 <br>
 **$`\displaystyle\begin{align}\hspace{1.0cm} \mathbf{=\ddpt{\overrightarrow{OO'}}}
-& \mathbf{+\sum_{i=1}^3 \ddpt{\alpha_{iM}}\cdot\overrightarrow{e_{\alpha_{i}}}_M}\\
-& \mathbf{+ \Big( 2\times \sum_{i=1}^3 \dpt{\alpha_{iM}}\cdot\dpt{\overrightarrow{e_{\alpha_{i}}}}_M \Big)} \\
-& \mathbf{+ \sum_{i=1}^3 \alpha_{iM}\cdot\ddpt{\overrightarrow{e_{\alpha_{i}}}}_M}
+& \mathbf{+\sum_{i=1}^3 \ddpt{\alpha_{i\,M}}\cdot\overrightarrow{e_{\alpha_{i}}}_M}\\
+& \mathbf{+ \Big( 2\times \sum_{i=1}^3 \dpt{\alpha_{i\,M}}\cdot\dpt{\overrightarrow{e_{\alpha_{i}}}}_M \Big)} \\
+& \mathbf{+ \sum_{i=1}^3 \alpha_{i\,M}\cdot\ddpt{\overrightarrow{e_{\alpha_{i}}}}_M}
 \end{align}`$**