From 36b138b17136b04e9e4e9299d7408e98633f5e7b Mon Sep 17 00:00:00 2001 From: Claude Meny Date: Mon, 13 Jan 2020 19:21:30 +0100 Subject: [PATCH] Update textbook.fr.md --- .../04.differential-operators/04.curl/textbook.fr.md | 4 ++-- 1 file changed, 2 insertions(+), 2 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 3758e4f5e..ffce5006e 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 @@ -112,7 +112,7 @@ de préciser le point, et écrire plus simplement $`\overrightarrow{rot}\;\overrightarrow{X} \cdot \overrightarrow{n} -=\lim_{C \to 0}\; \dfrac{\oint_C \overrightarrow{X} \cdot \overrightarrow{dl}} +=\lim_{C \to 0} \: \dfrac{\oint_C \overrightarrow{X} \cdot \overrightarrow{dl}} {\iint_{S \leftrightarrow C} dS}\hspace{1 cm}`$ (3) $`d\mathcal{C} = \overrightarrow{rot}\;\overrightarrow{X}\cdot \overrightarrow{dS} @@ -252,7 +252,7 @@ je peux maintenant calculer la composante selon du vecteur rotationnel du champ vectoriel au point M. En reprenant la définition (1), j'obtiens $`\overrightarrow{rot} \; \overrightarrow{X_M} \cdot \overrightarrow{e_z} -= \lim_{ABCD \to 0} \: \dfrac{\oint_{ABCD} \overrightarrow{X} \cdot \overrightarrow{dl}}{\iint_{ABCD} dS}`$ +=\lim_{C \to 0} \: \dfrac{\oint_{ABCD} \overrightarrow{X} \cdot \overrightarrow{dl}}{\iint_{ABCD} dS}`$ $`=\left.\dfrac{\partial Y}{\partial y}\right|_M -\left.\dfrac{\partial X}{\partial y}\right|_M`$