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Update textbook.fr.md

keep-around/7c6eb17b560c405d2b92a764eabe96f4e4dcad17
Claude Meny 6 years ago
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      01.curriculum/01.physics-chemistry-biology/03.Niv3/05.math-tools-for-physics/04.differential-operators/04.curl/textbook.fr.md

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01.curriculum/01.physics-chemistry-biology/03.Niv3/05.math-tools-for-physics/04.differential-operators/04.curl/textbook.fr.md
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@ -251,8 +251,8 @@ La surface élémentaire de ce rectangle ABCD élémentaire étant simplement $`
je peux maintenant calculer la composante selon du vecteur rotationnel du champ je peux maintenant calculer la composante selon du vecteur rotationnel du champ
vectoriel au point M. En reprenant la définition (1), j'obtiens vectoriel au point M. En reprenant la définition (1), j'obtiens
$`\overrightarrow{rot}\;\overrightarrow{X_M} \cdot \overrightarrow{e_z}=
\lim_{{ABCD \to 0} \: \dfrac{\oint_{ABCD} \overrightarrow{X} \cdot \overrightarrow{dl}}{\iint_{ABCD} dS}`$
$`\overrightarrow{rot} \; \overrightarrow{X_M} \cdot \overrightarrow{e_z}
= \lim_{ABCD \to 0} \: \dfrac{\oint_{ABCD} \overrightarrow{X} \cdot \overrightarrow{dl}}{\iint_{ABCD} dS}`$
$`=\left.\dfrac{\partial Y}{\partial y}\right|_M -\left.\dfrac{\partial X}{\partial y}\right|_M`$ $`=\left.\dfrac{\partial Y}{\partial y}\right|_M -\left.\dfrac{\partial X}{\partial y}\right|_M`$

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