diff --git a/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md b/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md
index e33712ccc..1be2338ee 100644
--- a/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md
+++ b/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md
@@ -29,25 +29,46 @@ in your native language, *you must erase and rewrite* if you use other words or
Write your comments between
example:
+---
+
"
" impone un salto a la linea siguente.
"
" impose un retour à la ligne.
"
" impose a line break.
+---
+
[ES] Esta es una oportunidad para estandarizar nuestros notación y vocabulario,
http://www.electropedia.org/iev/iev.nsf/index?openform&part=102
ou d'indiquer dans le texte l'équivalence avec la norme internationale si
-on souhaite garder nos notations et vocabulaires.
+on souhaite garder nos notations et vocabulaires. Ejemplo :
[FR] C'est l'occasion de normaliser notre notation et vocabulaire,
http://www.electropedia.org/iev/iev.nsf/index?openform&part=102
r to indicate in the text the equivalence with the international standard
-if we wish to keep our notations and terms.
+if we wish to keep our notations and terms. Exemple :
[EN] This is an opportunity to standardize our notation and vocabulary,
http://www.electropedia.org/iev/iev.nsf/index?openform&part=102
r to indicate in the text the equivalence with the international standard
-if we wish to keep our notations and terms.
+if we wish to keep our notations and terms. Example :
+
+"élément scalaire de surface $`dA`$" au lieu de "surface élémentaire $`dS`$".
+
+---
+[ES] La oportunidad también de que un matemático verifique la conformidad de expresiones
+matemáticas lógicas. Ejemplo :
+
+[FR] L'occasion aussi de faire vérifier par un mathématicien la conformité des expressions
+mathématiques logiques. Exemple :
+
+[EN] The opportunity also to have a mathematician verify the conformity of logical
+mathematical expressions. Example :
+
+$`\Longrightarrow \quad\forall \overrightarrow{V}\in\mathcal{P}`$$`\quad\exists ! (\alpha,\beta)\in\mathbb{R}^2`$$`\quad
+\overrightarrow{V}=\alpha\cdot\overrightarrow{a}+\beta\cdot\overrightarrow{b}`$
+
+---
## Colección de elementos del curso: conceptos, vocabulario y ecuaciones / Collection d'éléments de cours : Concepts, vocabulaire et équations / Collection of Course Elements: Concepts, Vocabulary and Equations