Update textbook.fr.md

3db183c5 · Claude Meny · 447bf0a2 · 3db183c5
Commit 3db183c5 authored Oct 16, 2022 by Claude Meny
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textbook.fr.md ...40.n4/70.lagrangian-mechanics/07.coherence/textbook.fr.md +6 -1

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--- a/12.temporary_ins/40.classical-mechanics/40.n4/70.lagrangian-mechanics/07.coherence/textbook.fr.md
+++ b/12.temporary_ins/40.classical-mechanics/40.n4/70.lagrangian-mechanics/07.coherence/textbook.fr.md
@@ -188,7 +188,12 @@ $`\quad=\dfrac{d}{dt}\bigg(\,\dfrac{\partial\mathcal{L}}{\partial \dpt{x}_i}\cdo



-
+$`\delta \mathcal{S}`$$`\;=\displaystyle\int_{t_1}^{t_2}
+\bigg(
+ \dfrac{\partial\mathcal{L}}{\partial x_i}\cdot \delta x_i
+ +\dfrac{d}{dt}\bigg(\,\dfrac{\partial\mathcal{L}}{\partial \dpt{x}_i}\cdot \delta x_i
+ --\dfrac{d}{dt}\bigg(\,\dfrac{\partial\mathcal{L}}{\partial \dpt{x}_i}\bigg)\cdot \delta x_i
+ \bigg)\;dt`$