Update cheatsheet.fr.md

12.temporary_ins/08.conservative-vector-fields/20.conservative-vector-fields-properties/20.overview/cheatsheet.fr.md

@@ -334,16 +334,16 @@ Dans un référentiel galiléen, Force d'une interaction s'exercant sur une pâr
 
 ---> 
 
+$`\overrightarrow{F_X}= m\,\overrightarrow{a} = m\,\dfrac{d\vec{\mathscr{v}}}{dt}`$
 
-$`\overrightarrow{F_X}= m\,\overrightarrow{a} = m\,\dfrac{d\mathscr{v}}{dt}`$
 
 
-$`\mathcal{W}(\vec{F_X})=\overrightarrow{F_X}\cdot\overrightarrow{dl}=\overrightarrow{F_X}\cdot\overrightarrow{\mathscr{v}}\;dt`$
+$`\mathcal{W}=\overrightarrow{F_X}\cdot\overrightarrow{dl}=\overrightarrow{F_X}\cdot\overrightarrow{\mathscr{v}}\;dt`$
 
 $`\begin{align}
-\mathcal{W}(\vec{F_X})&=\overrightarrow{F_X}\cdot\overrightarrow{dl}\\
-&m\,\dfrac{d\mathscr{v}}{dt}\cdot\overrightarrow{\mathscr{v}}\;dt\\
-&=m\,\dfcar{1}{2}\;\dfrac{d\mathscr{v}}{dt}\cdot\overrightarrow{\mathscr{v}}+\overrightarrow{\mathscr{v}}\cdot\dfrac{d\mathscr{v}}{dt}\cdot\overrightarrow{\mathscr{v}}\;dt\\
+\mathcal{W}&=\overrightarrow{F_X}\cdot\overrightarrow{dl}\\
+&=m\,\dfrac{d\mathscr{v}}{dt}\cdot\overrightarrow{\mathscr{v}}\;dt\\
+&=m\,\dfrac{1}{2}\;\left(\dfrac{d\mathscr{v}}{dt}\cdot\overrightarrow{\mathscr{v}}+\overrightarrow{\mathscr{v}}\cdot\dfrac{d\mathscr{v}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\;dt\\
 \end{align}`$