Update cheatsheet.fr.md

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

@@ -444,33 +444,11 @@ référentirl d'inertie, force centrale
 figure à faire.
 
 $`\begin{align}
-& =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\
-\end{align}`$
-
-$`\begin{align}
-\overrightarrow{F}\cdot\overrightarrow{dl}& =\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\
-& =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\
-\end{align}`$
-
-$`\begin{align}
-\overrightarrow{F}\cdot\overrightarrow{dl}& =\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\
-& =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\
-& =m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\right)\,dt\\
-\end{align}`$
-
-$`\begin{align}
-\overrightarrow{F}\cdot\overrightarrow{dl}& =\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\
-& =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\
-& =m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\right)\,dt\\
-& =m\,\left(\dfrac{1}{2}\,\dfrac{d\,\mathscr{v}^2}{dt}\right)\,dt\\
-\end{align}`$
-
-$`\begin{align}
-\overrightarrow{F}\cdot\overrightarrow{dl}& =\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\
+\color{brown}{\large{\overrightarrow{F}\cdot\overrightarrow{dl}}} & =\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\
 & =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\
 & =m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\right)\,dt\\
 & =m\,\left(\dfrac{1}{2}\,\dfrac{d\,\mathscr{v}^2}{dt}\right)\,dt\\
-& =d\left(\dfrac{m\,\mathscr{v}^2}{2}\right)\\
+& \color{brown}{\large{=d\left(\dfrac{m\,\mathscr{v}^2}{2}\right)}}\\
 \end{align}`$
 
 $`\overrightarrow{F}\cdot\overrightarrow{dl}=\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)`$