diff --git a/Weights/examples/Weights/coordinates_one_query.cpp b/Weights/examples/Weights/coordinates_one_query.cpp
index e533c8ad717..08873af009a 100644
--- a/Weights/examples/Weights/coordinates_one_query.cpp
+++ b/Weights/examples/Weights/coordinates_one_query.cpp
@@ -11,9 +11,7 @@ int main() {
   // Create a polygon and a query point.
   const std::vector<Point_2> polygon =
     { Point_2(0, 0), Point_2(1, 0), Point_2(1, 1), Point_2(0, 1) };
-
-  const FT half = FT(1) / FT(2);
-  const Point_2 query(half, half);
+  const Point_2 query(0.5, 0.5);
 
   // Allocate memory for weights and coordinates.
   std::vector<FT> weights;
diff --git a/Weights/examples/Weights/projection_traits.cpp b/Weights/examples/Weights/projection_traits.cpp
index 92b88ee03c0..f523978882f 100644
--- a/Weights/examples/Weights/projection_traits.cpp
+++ b/Weights/examples/Weights/projection_traits.cpp
@@ -16,9 +16,7 @@ int main() {
   // Create a polygon and a query point.
   const std::vector<Point_3> polygon =
     { Point_3(0, 0, 1), Point_3(1, 0, 1), Point_3(1, 1, 1), Point_3(0, 1, 1) };
-
-  const FT half = FT(1) / FT(2);
-  const Point_3 query(half, half, 1);
+  const Point_3 query(0.5, 0.5, 1);
 
   // Allocate memory for weights.
   std::vector<FT> weights;
@@ -38,7 +36,7 @@ int main() {
   std::cout << std::endl;
 
   // Almost coplanar case.
-  const FT eps = FT(1) / FT(1000);
+  const FT eps = 0.001;
   const Point_3 t3(-1,  0, 1.0 + eps);
   const Point_3 r3( 0, -1, 1);
   const Point_3 p3( 1,  0, 1.0 + eps);
diff --git a/Weights/include/CGAL/Weights.h b/Weights/include/CGAL/Weights.h
index 5466af9d127..c623955eb63 100644
--- a/Weights/include/CGAL/Weights.h
+++ b/Weights/include/CGAL/Weights.h
@@ -16,6 +16,11 @@
 
 #include <CGAL/license/Weights.h>
 
+/**
+@file Weights.h
+@brief a convenience header that includes all weights.
+*/
+
 #include <CGAL/Weights/utils.h>
 #include <CGAL/Weights/uniform_weights.h>