diff --git a/Point_set_shape_detection_3/doc/Point_set_shape_detection_3/Concepts/EfficientRANSACTraits.h b/Point_set_shape_detection_3/doc/Point_set_shape_detection_3/Concepts/EfficientRANSACTraits.h
index 651559ce140..6fda45d2cae 100644
--- a/Point_set_shape_detection_3/doc/Point_set_shape_detection_3/Concepts/EfficientRANSACTraits.h
+++ b/Point_set_shape_detection_3/doc/Point_set_shape_detection_3/Concepts/EfficientRANSACTraits.h
@@ -85,7 +85,7 @@ public:
   
   /*!
    * Function object type that provides
-   * `Point_3 operator()(const Line_3& l)`
+   * `Point_3 operator()(const Line_3& l, int i)`
    * returning an arbitrary point on `l`. It holds `point(i) == point(j)`,
    * iff `i == j`. Furthermore, it is directed from `point(i)` to `point(j)`,
    * for all `i < j`.
diff --git a/Point_set_shape_detection_3/include/CGAL/Shape_detection_3/Efficient_RANSAC_fake_traits_for_testing.h b/Point_set_shape_detection_3/include/CGAL/Shape_detection_3/Efficient_RANSAC_fake_traits_for_testing.h
index df6c460d760..d421c414af0 100644
--- a/Point_set_shape_detection_3/include/CGAL/Shape_detection_3/Efficient_RANSAC_fake_traits_for_testing.h
+++ b/Point_set_shape_detection_3/include/CGAL/Shape_detection_3/Efficient_RANSAC_fake_traits_for_testing.h
@@ -162,7 +162,7 @@ namespace CGAL {
     
     struct Construct_point_on_3
     {
-      Point_3 operator()(Line_3 const&) { return Point_3(); }
+      Point_3 operator()(Line_3 const&, int) { return Point_3(); }
     };
     Construct_point_on_3 construct_point_on_3_object() const
     { return Construct_point_on_3(); }
diff --git a/Point_set_shape_detection_3/include/CGAL/Shape_detection_3/Shape_base.h b/Point_set_shape_detection_3/include/CGAL/Shape_detection_3/Shape_base.h
index ce94ac17acf..90be59a70c5 100644
--- a/Point_set_shape_detection_3/include/CGAL/Shape_detection_3/Shape_base.h
+++ b/Point_set_shape_detection_3/include/CGAL/Shape_detection_3/Shape_base.h
@@ -622,7 +622,7 @@ namespace CGAL {
       Sphere_3 constr_sphere(const Point_3& c, FT r) const
       { return m_traits.construct_sphere_3_object()(c, r); }
       Point_3 constr_point_on(const Line_3& l) const
-      { return m_traits.construct_point_on_3_object()(l); }
+      { return m_traits.construct_point_on_3_object()(l, 0); }
 
       FT sqlen(const Vector_3& v) const
       { return m_traits.compute_squared_length_3_object()(v); }