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Update textbook.fr.md

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Claude Meny 5 years ago
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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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@ -228,23 +228,26 @@ And what do you want to use, knowing that the standard is the letter $`A`$?<br>
[ES] y los **elementos vectoriales de superficie $`\overrightarrow{dA}`$** correspondiente son :<br> [ES] y los **elementos vectoriales de superficie $`\overrightarrow{dA}`$** correspondiente son :<br>
[FR] et les **éléments vectoriels de surface $`\overrightarrow{dA}`$** correspondants sont :<br> [FR] et les **éléments vectoriels de surface $`\overrightarrow{dA}`$** correspondants sont :<br>
[EN] and the corresponding **vector surface elements $`\overrightarrow{dA}`$** are :<br> [EN] and the corresponding **vector surface elements $`\overrightarrow{dA}`$** are :<br>
<br>$`d\overrightarrow{dA_{xy}}=\pm\;\partial\overrightarrow{OM}_x\land\partial\overrightarrow{OM}_y`$
<br>$`d\overrightarrow{A_{xy}}=\pm\;\partial\overrightarrow{OM}_x\land\partial\overrightarrow{OM}_y`$
$`\pm\;\overrightarrow{dl_x}\land\overrightarrow{dl_y}`$ $`\pm\;\overrightarrow{dl_x}\land\overrightarrow{dl_y}`$
$`=\pm\; (dl_x\;\overrightarrow{e_x})\land(dl_y\;\overrightarrow{e_y})`$ $`=\pm\; (dl_x\;\overrightarrow{e_x})\land(dl_y\;\overrightarrow{e_y})`$
$`=\pm\; dl_x\;dl_y\;(\overrightarrow{e_x}\land\overrightarrow{e_y})`$ $`=\pm\; dl_x\;dl_y\;(\overrightarrow{e_x}\land\overrightarrow{e_y})`$
$`= \pm \; dx\;dy\;\overrightarrow{e_z}`$<br> $`= \pm \; dx\;dy\;\overrightarrow{e_z}`$<br>
<br>$`d\overrightarrow{dA_{xz}}=\pm\;\partial\overrightarrow{OM}_x\land\partial\overrightarrow{OM}_z`$
<br>$`d\overrightarrow{A_{xz}}=\pm\;\partial\overrightarrow{OM}_x\land\partial\overrightarrow{OM}_z`$
$`\pm\;\overrightarrow{dl_x}\land\overrightarrow{dl_z}`$ $`\pm\;\overrightarrow{dl_x}\land\overrightarrow{dl_z}`$
$`=\pm\; (dl_x\;\overrightarrow{e_x})\land(dl_z\;\overrightarrow{e_z})`$ $`=\pm\; (dl_x\;\overrightarrow{e_x})\land(dl_z\;\overrightarrow{e_z})`$
$`=\pm\; dl_x\;dl_z\;(\overrightarrow{e_x}\land\overrightarrow{e_z})`$ $`=\pm\; dl_x\;dl_z\;(\overrightarrow{e_x}\land\overrightarrow{e_z})`$
$`=\mp\; dx\;dy\;\overrightarrow{e_y}`$<br> $`=\mp\; dx\;dy\;\overrightarrow{e_y}`$<br>
<br>$`d\overrightarrow{dA_{yz}}=\pm\;\partial\overrightarrow{OM}_y\land\partial\overrightarrow{OM}_z`$
<br>$`d\overrightarrow{A_{yz}}=\pm\;\partial\overrightarrow{OM}_y\land\partial\overrightarrow{OM}_z`$
$`\pm\;\overrightarrow{dl_y}\land\overrightarrow{dl_z}`$ $`\pm\;\overrightarrow{dl_y}\land\overrightarrow{dl_z}`$
$`=\pm\; (dl_y\;\overrightarrow{e_y})\land(dl_z\;\overrightarrow{e_z})`$ $`=\pm\; (dl_y\;\overrightarrow{e_y})\land(dl_z\;\overrightarrow{e_z})`$
$`=\pm\; dl_y\;dl_z\;(\overrightarrow{e_y}\land\overrightarrow{e_z})`$ $`=\pm\; dl_y\;dl_z\;(\overrightarrow{e_y}\land\overrightarrow{e_z})`$
$`=\pm\; dy\;dz\;\overrightarrow{e_x}`$<br> $`=\pm\; dy\;dz\;\overrightarrow{e_x}`$<br>
<br>[ES] Tenemos que elegir de forma independiente para cada idioma, entre estas notaciones :<br>
Nous devons choisir de façon indépendante pour chaque langue, entre ces notations :<br>
We have to choose independently for each language, between these notations :<br>
<br>$`\overrightarrow{dA}\quad`$,$`\quad\overrightarrow{dA}^2\quad`$,
$`\quad\overrightarrow{dS}\quad`$,$`\quad\overrightarrow{dA}^2\quad`$
### Coordenadas cilíndricas / Coordonnées cylindriques / Cylindrical coordinates (N3-N4) ### Coordenadas cilíndricas / Coordonnées cylindriques / Cylindrical coordinates (N3-N4)

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