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

@@ -92,26 +92,26 @@ Ecriture générale de la position d'un point $`M`$ quelconque :
 <br>
 $`\overrightarrow{OM}=\overrightarrow{OO'}+\overrightarrow{O'M}`$   
 <br>
-$`\quad\quad =\overrightarrow{OO'}+\alpha_{1\;M}\,\overrightarrow{e_{\alpha_{1}}_M
-+\alpha_{2\;M}\,\overrightarrow{e_{\alpha_{2}}_M
-+\alpha_{3\;M}\,\overrightarrow{e_{\alpha_{3}}_M `$ 
+$`\quad\quad =\overrightarrow{OO'}+\alpha_{1\;M}\,\overrightarrow{e_{\alpha_{1}}}_M
++\alpha_{2\;M}\,\overrightarrow{e_{\alpha_{2}}}_M
++\alpha_{3\;M}\,\overrightarrow{e_{\alpha_{3}}}_M `$ 
 
 Ecriture générale de son vecteur vitesse $`\overrightarrow{v_M}`$  
 <br>
 $`\overrightarrow{v_M}=\dpt{\overrightarrow{OM}}=\dpt{\overrightarrow{OO'}}+\dpt{\overrightarrow{O'M}}`$   
 <br>
 $`\quad\quad =\dpt{\overrightarrow{OO'}}
-+\dpt{\alpha_{1\;M}}\,\overrightarrow{e_{\alpha_{1}}_M+\alpha_{1\;M}\,\dpt{\overrightarrow{e_{\alpha_{1}}_M}
-+\dpt{\alpha_{2\;M}}\,\overrightarrow{e_{\alpha_{2}_M+\alpha_{2\;M}\,\dpt{\overrightarrow{e_{\alpha_{2}}_M}
-+\dpt{\alpha_{3\;M}}\,\overrightarrow{e_{\alpha_{3}_M+\alpha_{3\;M}\,\dpt{\overrightarrow{e_{\alpha_{3}}_M}`$ 
++\dpt{\alpha_{1\;M}}\,\overrightarrow{e_{\alpha_{1}}}_M+\alpha_{1\;M}\,\dpt{\overrightarrow{e_{\alpha_{1}}}}_M
++\dpt{\alpha_{2\;M}}\,\overrightarrow{e_{\alpha_{2}}}_M+\alpha_{2\;M}\,\dpt{\overrightarrow{e_{\alpha_{2}}}}_M
++\dpt{\alpha_{3\;M}}\,\overrightarrow{e_{\alpha_{3}}}_M+\alpha_{3\;M}\,\dpt{\overrightarrow{e_{\alpha_{3}}}}_M`$ 
 
 Ecriture générale de son vecteur accélération $`\overrightarrow{a_M}`$  
 <br>
-$`\overrightarrow{a_M}=\dpt{\overrightarrow{v_M}\ddpt{\overrightarrow{OM}}}=\ddpt{\overrightarrow{OO'}}+\ddpt{\overrightarrow{O'M}}`$   
+$`\overrightarrow{a_M}=\dpt{\overrightarrow{v_M}}=\ddpt{\overrightarrow{OM}}}=\ddpt{\overrightarrow{OO'}}+\ddpt{\overrightarrow{O'M}}`$   
 <br>
 $`\quad\quad=\ddpt{\overrightarrow{OO'}}+\dpt{\overrightarrow{v_M}}`$ 
 <br>
 $`\quad\quad =\dpt{\overrightarrow{OO'}}
-+\dpt{\alpha_{1\;M}}\,\overrightarrow{e_\alpha_{1}}_M+\alpha_{1\;M}\,\dpt{\overrightarrow{e_\alpha_{1}}}_M
-+\dpt{\alpha_{2\;M}}\,\overrightarrow{e_\alpha_{2}}_M+\alpha_{2\;M}\,\dpt{\overrightarrow{e_\alpha_{2}}}_M
-+\dpt{\alpha_{3\;M}}\,\overrightarrow{e_\alpha_{3}}_M+\alpha_{3\;M}\,\dpt{\overrightarrow{e_\alpha_{3}}}_M`$ 
++\dpt{\alpha_{1\;M}}\,\overrightarrow{e_{\alpha_{1}}}_M+\alpha_{1\;M}\,\dpt{\overrightarrow{e_{\alpha_{1}}}}_M
++\dpt{\alpha_{2\;M}}\,\overrightarrow{e_{\alpha_{2}}}_M+\alpha_{2\;M}\,\dpt{\overrightarrow{e_{\alpha_{2}}}}_M
++\dpt{\alpha_{3\;M}}\,\overrightarrow{e_{\alpha_{3}}}_M+\alpha_{3\;M}\,\dpt{\overrightarrow{e_{\alpha_{3}}}}_M`$