Commit 0bd4fd94 authored by Claude Meny's avatar Claude Meny

Update textbook.fr.md

parent 50fb1138
Pipeline #13988 canceled with stage
...@@ -558,15 +558,15 @@ $`\begin{align} ...@@ -558,15 +558,15 @@ $`\begin{align}
--------------- ---------------
$`\begin{align} $`\begin{align}
\dfrac{d^2\overrightarrow{e_{\theta}}}{dt^2}&=\dfrac{d}{dt}\left(\underbrace{\dfrac{d\overrightarrow{e_{\rho}}}{dt}}_{=\omega\,\vec{e_{\theta}}}\right)\\ \dfrac{d^2\overrightarrow{e_{\theta}}}{dt^2}&=\dfrac{d}{dt}\Big(\underbrace{\dfrac{d\overrightarrow{e_{\rho}}}{dt}}_{=\omega\,\vec{e_{\theta}}}\Big)\\
\\ \\
&=\dfrac{d}{dt}\left(\omega\,\overrightarrow{e_{\theta}}\right)\\ &=\dfrac{d}{dt}\left(\omega\,\overrightarrow{e_{\theta}}\right)\\
\\ \\
&=\dfrac{d\omega}{dt}\;\overrightarrow{e_{\theta}}+\omega\;\dfrac{d\overrightarrow{e_{\theta}}}{dt}\\ &=\dfrac{d\omega}{dt}\;\overrightarrow{e_{\theta}}\;+\;\omega\;\dfrac{d\overrightarrow{e_{\theta}}}{dt}\\
\\ \\
&=\dfrac{d\omega}{dt}\;\overrightarrow{e_{\theta}}+\omega\;\big(-\;\omega\;\overrightarrow{e_{\rho}}\big)\\ &=\dfrac{d\omega}{dt}\;\overrightarrow{e_{\theta}}\;+\;\omega\;\big(-\,\omega\;\overrightarrow{e_{\rho}}\big)\\
\\ \\
&=\dfrac{d\omega}{dt}\;\overrightarrow{e_{\theta}}-\omega^2\;\overrightarrow{e_{\rho}} &=\dfrac{d\omega}{dt}\;\overrightarrow{e_{\theta}}\;-\;\omega^2\;\overrightarrow{e_{\rho}}
\end{align}`$ \end{align}`$
......
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