From b1739afc8d6830a00bb7dff32873ba10d827f1c9 Mon Sep 17 00:00:00 2001
From: Evandro Alfieri <62438551+evandroAlfieri@users.noreply.github.com>
Date: Tue, 30 Jan 2024 12:15:14 +0100
Subject: [PATCH] Fix formula of A constant

---
 .../resource/IfcGeometryResource/Entities/IfcClothoid.md    | 6 ++++++
 .../Clothoid Transition Segment/README.md                   | 6 +++++-
 2 files changed, 11 insertions(+), 1 deletion(-)

diff --git a/docs/schemas/resource/IfcGeometryResource/Entities/IfcClothoid.md b/docs/schemas/resource/IfcGeometryResource/Entities/IfcClothoid.md
index 31a1720d1..5908410fa 100644
--- a/docs/schemas/resource/IfcGeometryResource/Entities/IfcClothoid.md
+++ b/docs/schemas/resource/IfcGeometryResource/Entities/IfcClothoid.md
@@ -27,6 +27,12 @@ The curvature _κ_ and radius of the curvature _ρ_, at any point of the curve,
 
 $$\kappa=\frac{As}{|A^3|}, \rho=\frac{1}{\kappa}$$
 
+The constant A, known as _flatness_ or _homothetic parameter_ of the clothoid, is specified as:
+
+$$ A=\sqrt{LR}$$
+
+where, L is the length measured from the inflection point; and R is the radius of the clothoid.
+
 { .extDef}
 > NOTE Formulae adapted from **clothoid** defined in ISO 10303-42
 
diff --git a/docs/templates/Partial Templates/Geometry/Curve Segment Geometry/Clothoid Transition Segment/README.md b/docs/templates/Partial Templates/Geometry/Curve Segment Geometry/Clothoid Transition Segment/README.md
index 464cea988..a86a94428 100644
--- a/docs/templates/Partial Templates/Geometry/Curve Segment Geometry/Clothoid Transition Segment/README.md	
+++ b/docs/templates/Partial Templates/Geometry/Curve Segment Geometry/Clothoid Transition Segment/README.md	
@@ -1,7 +1,11 @@
 Clothoid Transition Segment
 ===========================
 
-A clothoid segment is based on the IfcClothoid where the value for the clothoid constant is specified as √L and L is the length measured from the inflection point.
+A clothoid segment is based on the IfcClothoid where the value for the clothoid constant _A_, known as _flatness_ or _homothetic parameter_ of the clothoid, is specified as:
+
+$$ A=\sqrt{LR}$$
+
+where, L is the length measured from the inflection point; and R is the radius of the clothoid.
 
 ```
 concept {