From 4db4be2cd8eda08d9a80e6746add677ee3659380 Mon Sep 17 00:00:00 2001 From: Claude Meny Date: Sat, 29 Aug 2020 12:44:37 +0200 Subject: [PATCH] Update textbook.fr.md --- .../textbook.fr.md | 13 ++++++++----- 1 file changed, 8 insertions(+), 5 deletions(-) diff --git a/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/04.reference-frames-coordinate-systems/textbook.fr.md b/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/04.reference-frames-coordinate-systems/textbook.fr.md index 400325eaa..af994601d 100644 --- a/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/04.reference-frames-coordinate-systems/textbook.fr.md +++ b/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/04.reference-frames-coordinate-systems/textbook.fr.md @@ -228,23 +228,26 @@ And what do you want to use, knowing that the standard is the letter $`A`$?
[ES] y los **elementos vectoriales de superficie $`\overrightarrow{dA}`$** correspondiente son :
[FR] et les **éléments vectoriels de surface $`\overrightarrow{dA}`$** correspondants sont :
[EN] and the corresponding **vector surface elements $`\overrightarrow{dA}`$** are :
-
$`d\overrightarrow{dA_{xy}}=\pm\;\partial\overrightarrow{OM}_x\land\partial\overrightarrow{OM}_y`$ +
$`d\overrightarrow{A_{xy}}=\pm\;\partial\overrightarrow{OM}_x\land\partial\overrightarrow{OM}_y`$ $`\pm\;\overrightarrow{dl_x}\land\overrightarrow{dl_y}`$ $`=\pm\; (dl_x\;\overrightarrow{e_x})\land(dl_y\;\overrightarrow{e_y})`$ $`=\pm\; dl_x\;dl_y\;(\overrightarrow{e_x}\land\overrightarrow{e_y})`$ $`= \pm \; dx\;dy\;\overrightarrow{e_z}`$
-
$`d\overrightarrow{dA_{xz}}=\pm\;\partial\overrightarrow{OM}_x\land\partial\overrightarrow{OM}_z`$ +
$`d\overrightarrow{A_{xz}}=\pm\;\partial\overrightarrow{OM}_x\land\partial\overrightarrow{OM}_z`$ $`\pm\;\overrightarrow{dl_x}\land\overrightarrow{dl_z}`$ $`=\pm\; (dl_x\;\overrightarrow{e_x})\land(dl_z\;\overrightarrow{e_z})`$ $`=\pm\; dl_x\;dl_z\;(\overrightarrow{e_x}\land\overrightarrow{e_z})`$ $`=\mp\; dx\;dy\;\overrightarrow{e_y}`$
-
$`d\overrightarrow{dA_{yz}}=\pm\;\partial\overrightarrow{OM}_y\land\partial\overrightarrow{OM}_z`$ +
$`d\overrightarrow{A_{yz}}=\pm\;\partial\overrightarrow{OM}_y\land\partial\overrightarrow{OM}_z`$ $`\pm\;\overrightarrow{dl_y}\land\overrightarrow{dl_z}`$ $`=\pm\; (dl_y\;\overrightarrow{e_y})\land(dl_z\;\overrightarrow{e_z})`$ $`=\pm\; dl_y\;dl_z\;(\overrightarrow{e_y}\land\overrightarrow{e_z})`$ $`=\pm\; dy\;dz\;\overrightarrow{e_x}`$
- - +
[ES] Tenemos que elegir de forma independiente para cada idioma, entre estas notaciones :
+Nous devons choisir de façon indépendante pour chaque langue, entre ces notations :
+We have to choose independently for each language, between these notations :
+
$`\overrightarrow{dA}\quad`$,$`\quad\overrightarrow{dA}^2\quad`$, +$`\quad\overrightarrow{dS}\quad`$,$`\quad\overrightarrow{dA}^2\quad`$ ### Coordenadas cilíndricas / Coordonnées cylindriques / Cylindrical coordinates (N3-N4)