Commit bba31369 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 2ea63b2f
Pipeline #13250 canceled with stage
...@@ -601,17 +601,15 @@ $`\begin{align} ...@@ -601,17 +601,15 @@ $`\begin{align}
* Par intégration sur une portion de trajectoire d'extrémités $`A`$ et $`B`$ : * Par intégration sur une portion de trajectoire d'extrémités $`A`$ et $`B`$ :
<br> <br>
$`\displaystyle\left.\begin{array}{l} $`\left.\begin{array}{l}
\int_A^B\overrightarrow{F}_{tot}\cdot\overrightarrow{dl}=+\;\overset{B}{\underset{A}{\Large{\Delta}}}(\mathcal{E}_X^{cin})\\ \int_A^B\overrightarrow{F}_{tot}\cdot\overrightarrow{dl}=+\;\overset{B}{\underset{A}{\large{\Delta}}}\mathcal{E}_X^{cin}\\
\int_A^B\overrightarrow{F}_{tot}\cdot\overrightarrow{dl}=-\;\overset{B}{\underset{A}{\Large{\Delta}}}(\mathcal{E}_X^{pot})\\ \int_A^B\overrightarrow{F}_{tot}\cdot\overrightarrow{dl}=-\;\overset{B}{\underset{A}{\large{\Delta}}}\mathcal{E}_X^{pot}\\
\end{array}\right\}`$$`\Longrightarrow \end{array}\right\}`$
\color{brown}{\mathbf{\large{\overset{B}{\underset{A}{\Large{\Delta}}}(\mathcal{E}_X^{cin})+\overset{B}{\underset{A}{\Large{\Delta}}}(\mathcal{E}_X^{pot})=0}}}`$ $`\Longrightarrow\color{brown}{\mathbf{\large{\overset{B}{\underset{A}{\Large{\Delta}}}\mathcal{E}_X^{cin}+\overset{B}{\underset{A}{\Large{\Delta}}}\mathcal{E}_X^{pot}=0}}}`$
<br> <br>
$`\quad\Longrightarrow $`\quad\Longrightarrow\color{blue}{\mathbf{\large{\overset{B}{\underset{A}{\Large{\Delta}}}\big(\mathcal{E}_X^{cin}+\mathcal{E}_X^{pot}\big)=0}}}`$
\color{blue}{\mathbf{\large{d\,\big(\mathcal{E}^{cin}+\mathcal{E}^{pot}\big)=0}}}`$
<br> <br>
$`\quad\Longrightarrow $`\quad\Longrightarrow\color{brown}{\mathbf{\large{\overset{B}{\underset{A}{\Large{\Delta}}}\mathcal{E}_X^{méc}=0}}}`$
\color{brown}{\mathbf{\large{d\mathcal{E}^{méc}=0}}}`$
......
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