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M3P2
Courses
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c229ca7f
Commit
c229ca7f
authored
May 13, 2026
by
Claude Meny
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Update cheatsheet.fr.md
parent
0dffa1e9
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#22836
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cheatsheet.fr.md
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12.temporary_ins/09.invariances-symmetries/30.n3/20.overview/cheatsheet.fr.md
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c229ca7f
...
...
@@ -440,8 +440,12 @@ _Exemple de deux grandeurs physiques vectorielles, polaires ou axiales, et leur
*
**$`\mathcal{P}`$**
est un
**plan de symétrie pour $`\vec{V}`$**
*si et seulement si*
,
pour tout couple de
*points P et P' symétriques*
par rapport au plan $
`\mathcal{P}`
$, :
*
**$`\mathbf{\vec{V}_{\parallel}(\text{P}) = + \, \vec{V}_{\parallel}(\text{P'})}`$**
,
*
**$`\mathbf{\vec{V}_{\perp}(\text{P}) = -\,\vec{V}_{\perp}(\text{P'})}`$**
*
**$`\mathbf{\vec{V}_{\parallel}(\text{P}) = + \, \vec{V}_{\parallel}(\text{P'})}`$**
,
<br>
il y a
*conservation*
de la
*composante vectorielle parallèle*
au plan.
*
**$`\mathbf{\vec{V}_{\perp}(\text{P}) = -\,\vec{V}_{\perp}(\text{P'})}`$**
<br>
il y a
*inversion*
de la
*composante vectorielle normale*
au plan.
*
La distribution des vecteurs $
`\mathbf{\vec{V}}`
$ dans un des deux demi-espaces séparés par le plan de symétrie
...
...
@@ -488,8 +492,12 @@ _Exemple de deux grandeurs physiques vectorielles, polaires ou axiales, et leur
*
**$`\mathcal{P}`$**
est un
**plan d'antisymétrie pour $`\vec{V}`$**
*si et seulement si*
,
aux points
*P et P' symétriques*
par rapport au plan $
`\mathcal{P}`
$, :
*
**$`\mathbf{\vec{V}_{\parallel}(\text{P}) = - \,\vec{V}_{\parallel}(\text{P'})}`$**
,
*
**$`\mathbf{\vec{V}_{\perp}(\text{P}) = +\,\vec{V}_{\perp}(\text{P'})}`$**
*
**$`\mathbf{\vec{V}_{\parallel}(\text{P}) = - \,\vec{V}_{\parallel}(\text{P'})}`$**
,
<br>
il y a
*inversion*
de la
*composante vectorielle parallèle*
au plan.
*
**$`\mathbf{\vec{V}_{\perp}(\text{P}) = +\,\vec{V}_{\perp}(\text{P'})}`$**
<br>
il y a
*conservation*
de la
*composante vectorielle normale*
au plan.
\ No newline at end of file
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