Commit 340b04c4 authored by Claude Meny's avatar Claude Meny

Update textbook.fr.md

parent ed774eaf
Pipeline #17706 canceled with stage
......@@ -92,7 +92,7 @@ Ecriture générale de la position d'un point $`M`$ quelconque :
<br>
$`\overrightarrow{OM}=\overrightarrow{OO'}+\overrightarrow{O'M}`$
<br>
$`\quad\;\, =\overrightarrow{OO'}+\alpha_{1M}\cdot\overrightarrow{e_{\alpha_{1}}}_M
$`\hspace{1.0cm} =\overrightarrow{OO'}+\alpha_{1M}\cdot\overrightarrow{e_{\alpha_{1}}}_M
+\alpha_{2M}\cdot\overrightarrow{e_{\alpha_{2}}}_M
+\alpha_{3M}\cdot\overrightarrow{e_{\alpha_{3}}}_M `$
<br>
......@@ -100,28 +100,30 @@ $`\displaystyle\quad\;\, =\overrightarrow{OO'}+\sum_{i=1}^3 \alpha_{iM}\cdot\ove
Ecriture générale de son vecteur vitesse $`\overrightarrow{v_M}`$
<br>
$`\overrightarrow{v_M}=\dpt{\overrightarrow{OM}}=\dpt{\overrightarrow{OO'}}+\dpt{\overrightarrow{O'M}}`$
**$`\overrightarrow{v_M}`$**
*$`\;=\dpt{\overrightarrow{OM}}`$* $`\;=\dpt{\overrightarrow{OO'}}+\dpt{\overrightarrow{O'M}}`$
<br>
$`\displaystyle\quad\; =\dpt{\overrightarrow{OO'}}
$`\displaystyle\hspace{1.0cm}=\dpt{\overrightarrow{OO'}}
+\sum_{i=1}^3 \Big(\dpt{\alpha_{iM}}\cdot\overrightarrow{e_{\alpha_{i}}}_M+\alpha_{iM}\cdot\dpt{\overrightarrow{e_{\alpha_{i}}}}_M\Big)`$
<br>
$`\displaystyle\quad\; =\dpt{\overrightarrow{OO'}}
$`\displaystyle\hspace{1.0cm}=\dpt{\overrightarrow{OO'}}
+\sum_{i=1}^3 \dpt{\alpha_{iM}}\cdot\overrightarrow{e_{\alpha_{i}}}_M + \sum_{i=1}^3\alpha_{iM}\cdot\dpt{\overrightarrow{e_{\alpha_{i}}}}_M`$
Ecriture générale de son vecteur accélération $`\overrightarrow{a_M}`$
<br>
$`\overrightarrow{a_M}=\dpt{\overrightarrow{v_M}}=\ddpt{\overrightarrow{OM}}`$
**$`\overrightarrow{a_M}`$**
*$`\;=\dpt{\overrightarrow{v_M}}=\ddpt{\overrightarrow{OM}}`$*
<br>
$`\displaystyle\begin{align}\quad\quad =\ddpt{\overrightarrow{OO'}}
$`\displaystyle\begin{align}\hspace{1.0cm} =\ddpt{\overrightarrow{OO'}}
& +\sum_{i=1}^3 \Big(\ddpt{\alpha_{iM}}\cdot\overrightarrow{e_{\alpha_{i}}}_M + \dpt{\alpha_{iM}}\cdot\dpt{\overrightarrow{e_{\alpha_{i}}}}_M\Big) \\
& +\sum_{i=1}^3 \Big(\dpt{\alpha_{iM}}\cdot\dpt{\overrightarrow{e_{\alpha_{i}}}}_M + \alpha_{iM}\cdot\ddpt{\overrightarrow{e_{\alpha_{i}}}}_M\Big)
\end{align}`$
<br>
$`\displaystyle\begin{align}\quad\quad =\ddpt{\overrightarrow{OO'}}
**$`\displaystyle\begin{align}\hspace{1.0cm} =\ddpt{\overrightarrow{OO'}}
& +\sum_{i=1}^3 \ddpt{\alpha_{iM}}\cdot\overrightarrow{e_{\alpha_{i}}}_M \\
& + \Big( 2\times \sum_{i=1}^3 \dpt{\alpha_{iM}}\cdot\dpt{\overrightarrow{e_{\alpha_{i}}}}_M \Big) \\
& + \sum_{i=1}^3 \alpha_{iM}\cdot\ddpt{\overrightarrow{e_{\alpha_{i}}}}_M
\end{align}`$
\end{align}`$**
Markdown is supported
0% or
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment