Update textbook.fr.md

12.temporary_ins/96.electromagnetism-in-media/20.reflexion-refraction-at-interfaces/10.boundary-conditions/10.main/textbook.fr.md

@@ -143,16 +143,15 @@ or again
 i.e. the tangential components of the electric field are always
 conserved at the interface. This condition can also be written:
 
-@@@@@@@@@@ $`\quad equ. 3.16)`$
+@@@@@@@@@@ $`\quad (equ. 3.16)`$
 
-__H vector__
+__$`\overrightarrow{H}`$ vector__
 
 Following the same reasoning as for the $`\overrightarrow{E}`$ vector we write for the
-left hand side when $`\delta\right 0`$ :
+left hand side when $`\delta\rightarrow 0`$ :
 
-$`\overrightarrow{H}`$
 
-@@@@@@@@@@@@@ $`\quad equ. 3.17)`$
+@@@@@@@@@@@@@ $`\quad (equ. 3.17)`$
 
 The right hand side needs more attention. The flux of the vector $`\overrightarrow{D}`$
 approaches 0. However the flux of the vector $`\overrightarrow{J}`$ over an infinitesimal surface
@@ -164,20 +163,24 @@ not $`[A/m*^2]`$ as $`\overrightarrow{J}`$) can. This is typically the case of a
 perfect conductor where a finite current can flow through a
 infinitesimally small area. We get:
 
-@@@@@@@@ $`\quad equ. 3.18)`$
+@@@@@@@@ $`\quad (equ. 3.18)`$
 
 or again
 
-@@@@@@@@ $`\quad equ. 3.19)`$
+@@@@@@@@ $`\quad (equ. 3.19)`$
 
 i.e. the tangential components of the magnetic field $`\overrightarrow{H}`$ is
 discontinuous unless no surface currents exist. As for the electric
 field, this condition can also be written:
 
-@@@@@@@@ $`\quad equ. 3.20)`$
+@@@@@@@@ $`\quad (equ. 3.20)`$
 
 !! *Summary*   
 !! 
+!! *vector form*   
+!! * @@@@@
+!! * @@@@@
+
 
 ! *Remarks*   
 !
@@ -192,10 +195,12 @@ field, this condition can also be written:
 !
 ! * In case of linear media, the 4 relations can be expressed in terms
 ! of $`\overrightarrow{E}`$ and $`\overrightarrow{B}`$ alone using the constitutive relations
-! $`\overrightarrow{D}=\epsilon\,$`\overrightarrow{E}`$ and $`\overrightarrow{B}=\mu\,$`\overrightarrow{H}`$.
+! $`\overrightarrow{D}=\epsilon\,\overrightarrow{E}`$ and $`\overrightarrow{B}=\mu\,\overrightarrow{H}`$.
 
 &&&&&&&&&&&&&&&&&&&&&&&&&
 
+<br><br>
+
 #### chap2 Reflection and transmission at normal incidence
 
 We suppose that the *xy* plane at *z* = 0 is the boundary between