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M3P2
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ad572190
Commit
ad572190
authored
Aug 29, 2020
by
Claude Meny
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Update textbook.fr.md
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00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/04.reference-frames-coordinate-systems/textbook.fr.md
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ad572190
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@@ -151,6 +151,9 @@ de déplacement du point M lorsque seule la coordonnée x croît de façon infin
[
EN
]
The unit vector tangent to the trajectory $
`\overrightarrow{e_x}`
$ (which indicates the direction of displacement
of the point M when only the coordinate x increases in an infinitesimal way) writes :
<br>
<br>
$
`\overrightarrow{e_x}=\dfrac{\partial\overrightarrow{OM}_x}{||\partial\overrightarrow{OM}_x||}`
$
<br>
tambien / de même / similarly :
<br>
$
`\overrightarrow{e_y}=\dfrac{\partial\overrightarrow{OM}_y}{||\partial\overrightarrow{OM}_y||}`
$
<br>
$
`\overrightarrow{e_z}=\dfrac{\partial\overrightarrow{OM}_z}{||\partial\overrightarrow{OM}_z||}`
$
*
**N3 ($`\rightarrow`$ N4)**
<br>
[
ES
]
Los vectores $
`\overrightarrow{e_x}`
$, $
`\overrightarrow{e_y}`
$ y $
`\overrightarrow{e_z}`
$
...
...
@@ -176,6 +179,9 @@ est l'élément de longueur $`dl_x`$, donc le vecteur $`\overrightarrow{e_x}`$ s
[
EN
]
the norm (or length) of the vector $
`\partial\overrightarrow{OM}_x=\overrightarrow{dl_x}`
$
is the scalar line element $
`dl_x`
$, so the vector $
`\overrightarrow{e_x}`
$ writes :
<br>
<br>
$
`\partial\overrightarrow{OM}_x=\overrightarrow{dl_x}=l_x\;\overrightarrow{e_x}=dx\;\overrightarrow{e_x}`
$
<br>
tambien / de même / similarly :
<br>
$
`\partial\overrightarrow{OM}_y=\overrightarrow{dl_y}=l_y\;\overrightarrow{e_y}=dy\;\overrightarrow{e_y}`
$
<br>
$
`\partial\overrightarrow{OM}_z=\overrightarrow{dl_z}=l_z\;\overrightarrow{e_z}=dz\;\overrightarrow{e_z}`
$
### Coordenadas cilíndricas / Coordonnées cylindriques / Cylindrical coordinates (N3-N4)
...
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