diff --git a/01.curriculum/01.physics-chemistry-biology/04.Niv4/04.electromagnetism/02.electromagnetic-waves-vacuum/02.electromagnetic-waves-vacuum-main/textbook.fr.md b/01.curriculum/01.physics-chemistry-biology/04.Niv4/04.electromagnetism/02.electromagnetic-waves-vacuum/02.electromagnetic-waves-vacuum-main/textbook.fr.md
index 72c235529..776b00ed0 100644
--- a/01.curriculum/01.physics-chemistry-biology/04.Niv4/04.electromagnetism/02.electromagnetic-waves-vacuum/02.electromagnetic-waves-vacuum-main/textbook.fr.md
+++ b/01.curriculum/01.physics-chemistry-biology/04.Niv4/04.electromagnetism/02.electromagnetic-waves-vacuum/02.electromagnetic-waves-vacuum-main/textbook.fr.md
@@ -41,12 +41,12 @@ des coordonnées spatiales et la coordonnés temporelle ne change pas le résult
je peux écrire :
$`\overrightarrow{rot} \, \left( \overrightarrow{rot}\,\overrightarrow{E} \right)=
--\dfrac{\partial}{\partial t} \,\left(\overrightarrow{rot}\overrightarrow{B}\right)`$
-
+-\dfrac{\partial}{\partial t} \,\left(\overrightarrow{rot}\overrightarrow{B}\right)`$
+
$`\overrightarrow{rot} \, \left( \overrightarrow{rot}\,\overrightarrow{E} \right)=
-\dfrac{\partial}{\partial t} \,\left(\mu_0\;\overrightarrow{j} +
-\mu_0 \epsilon_0 \;\dfrac{\partial \overrightarrow{E}}{\partial t}\right)`$
-
+\mu_0 \epsilon_0 \;\dfrac{\partial \overrightarrow{E}}{\partial t}\right)`$
+
$`\overrightarrow{rot} \, \left( \overrightarrow{rot}\,\overrightarrow{E} \right)
=-\mu_0\;\dfrac{\partial \overrightarrow{j}}{\partial t} +
\mu_0 \epsilon_0 \;\dfrac{\partial^2 \overrightarrow{E}}{\partial t^2}`$