From bb596c3b3d6fac3ca8c47e8b0b84cdb596f0f5c9 Mon Sep 17 00:00:00 2001 From: Claude Meny Date: Mon, 13 Jan 2020 17:56:09 +0100 Subject: [PATCH] Update textbook.fr.md --- .../04.curl/textbook.fr.md | 19 ++++++------------- 1 file changed, 6 insertions(+), 13 deletions(-) diff --git a/01.curriculum/01.physics-chemistry-biology/03.Niv3/05.math-tools-for-physics/04.differential-operators/04.curl/textbook.fr.md b/01.curriculum/01.physics-chemistry-biology/03.Niv3/05.math-tools-for-physics/04.differential-operators/04.curl/textbook.fr.md index f4ca13b8b..df0eba6cd 100644 --- a/01.curriculum/01.physics-chemistry-biology/03.Niv3/05.math-tools-for-physics/04.differential-operators/04.curl/textbook.fr.md +++ b/01.curriculum/01.physics-chemistry-biology/03.Niv3/05.math-tools-for-physics/04.differential-operators/04.curl/textbook.fr.md @@ -165,20 +165,13 @@ Au premier ordre, le vecteur $`\overrightarrow{X_P}`$ au point P est le vecteur du champ sur la branche AB, et son expression en fonction des composantes de $`\overrightarrow{X_M}`$ et du déplacement élémentaire pour passer de M en P est -$`\displaystyle \overrightarrow{X_P} -= +$`\displaystyle \overrightarrow{X_P}= \left[X_M+\left.\dfrac{\partial X}{\partial x}\right|_M \cdot -\left(-\dfrac{dx}{2}\right) - \right] \cdot \overrightarrow{e_x} -+ -\left[Y_M+\left.\dfrac{\partial Y}{\partial x}\right|_M \cdot -\left(-\dfrac{dx}{2}\right) - \right] \cdot \overrightarrow{e_y} -+ -\left[Z_M+\left.\dfrac{\partial Z}{\partial x}\right|_M \cdot -\left(-\dfrac{dx}{2}\right) - \right] \cdot \overrightarrow{e_z} - `$ +\left(-\dfrac{dx}{2}\right)\right] \cdot \overrightarrow{e_x}`$ +$`+\left[Y_M+\left.\dfrac{\partial Y}{\partial x}\right|_M \cdot +\left(-\dfrac{dx}{2}\right)\right] \cdot \overrightarrow{e_y}`$ +$`+\left[Z_M+\left.\dfrac{\partial Z}{\partial x}\right|_M \cdot +\left(-\dfrac{dx}{2}\right)\right] \cdot \overrightarrow{e_z}`$ Le calcul de la circulation élémentaire de sur la branche AB me donne