diff --git a/docs/en/calculators/hsl/pente.md b/docs/en/calculators/hsl/pente.md
index 7c3815983f472139530856fc02d46bbbec90df27..441534acc94c7130907e5c917f3373a10f8a811f 100644
--- a/docs/en/calculators/hsl/pente.md
+++ b/docs/en/calculators/hsl/pente.md
@@ -1,12 +1,22 @@
# Slope
+## Definition
+
+The slope used in all Cassiopée's modules is the topographic slope:
+
+> The grade (also called slope, incline, gradient, mainfall, pitch or rise) of a physical feature, landform or constructed line refers to the tangent of the angle of that surface to the horizontal. (Source: [Wikipedia](https://en.wikipedia.org/wiki/Grade_(slope)))
+
+
+
+The slope (\(I\)) in m/m used in Cassiopee's modules is:
+
+$$ I = \Delta h / d = \tan(\alpha) $$
+
+## The "Slope" module
+
This tools allows to calculate the missing value of the four quantities:
- upstream elevation (\(Z_1\)) in m;
- downstream elevation (\(Z_2\)) in m;
-- length (\(L\)) in m;
-- slope (\(I\)) in m/m;
-
-## Formula
-
-$$I = \frac{(Z_1 - Z_2)}{L}$$
+- length (\(d\)) in m;
+- slope (\(I\)) in m/m, with \(I = \frac{(Z_1 - Z_2)}{d}\).
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diff --git a/docs/fr/calculators/hsl/pente.md b/docs/fr/calculators/hsl/pente.md
index 20ac239bc6c86534594ef19f5ce6f369bd7dc1aa..b600badd10a5655c2dcf6b696af67f4aa229fc52 100644
--- a/docs/fr/calculators/hsl/pente.md
+++ b/docs/fr/calculators/hsl/pente.md
@@ -1,12 +1,22 @@
# Pente
+## Définition
+
+La définition de la pente utilisée dans tous les modules de Cassiopée est celle de la pente topographique:
+
+> La pente topographique est la tangente de l'inclinaison entre deux points d'un terrain, donc de son angle vis-à -vis de l'horizontale. C'est donc le rapport entre la différence d'altitudes entre les deux points et la distance horizontale, cartographique, entre ces deux points. ([Source: Wikipédia](https://fr.wikipedia.org/wiki/Pente_(topographie)))
+
+
+
+La pente (\(I\)) en m/m utilisée dans les modules de Cassiopée vaut alors:
+
+$$ I = \Delta h / d = \tan(\alpha) $$
+
+## L'outil "Pente"
+
Cet outil permet de calculer la valeur manquante des quatre grandeurs :
- la cote amont (\(Z_1\)) en m;
- la cote aval (\(Z_2\)) en m;
-- la longueur (\(L\)) en m;
-- la pente (\(I\)) en m/m;
-
-## Formule
-
-$$I = \frac{(Z_1 - Z_2)}{L}$$
+- la longueur (\(d\)) en m;
+- la pente (\(I\)) en m/m, avec \(I = \frac{(Z_1 - Z_2)}{d}\).
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