diff --git a/Kernel_d/doc/Kernel_d/CGAL/intersections_d.h b/Kernel_d/doc/Kernel_d/CGAL/intersections_d.h
index 8ce886a0f29..070d9d82b53 100644
--- a/Kernel_d/doc/Kernel_d/CGAL/intersections_d.h
+++ b/Kernel_d/doc/Kernel_d/CGAL/intersections_d.h
@@ -26,7 +26,7 @@ bool do_intersect(Type1<R> obj1, Type2<R> obj2);
 /*!
 \ingroup PkgKernelDFunctions
 
-returns the intersection between \f$ f1\f$ and \f$ f2\f$.
+returns the intersection between `f1` and `f2`.
 
 \pre The objects are of the same dimension.
 
@@ -164,7 +164,7 @@ void foo(Segment_d<R> seg, Line_d<R> lin)
 \sa <a HREF="http://www.boost.org/libs/utility/utility.htm#result_of">`cpp11::result_of`</a>
 
 */
-Object intersection(Type1<R> f1, Type2<R> f2);
+cpp11::result_of<R::Intersect_d(Type1<R>, Type2<R>)>::type intersection(Type1<R> f1, Type2<R> f2);
 
 } /* namespace CGAL */
 
diff --git a/Kernel_d/doc/Kernel_d/Kernel_d.txt b/Kernel_d/doc/Kernel_d/Kernel_d.txt
index 87b634ee41c..2a88642ec94 100644
--- a/Kernel_d/doc/Kernel_d/Kernel_d.txt
+++ b/Kernel_d/doc/Kernel_d/Kernel_d.txt
@@ -439,7 +439,7 @@ returns a `boost::optional< boost::variant< T... > >`
 where `T...` is a list of all possible resulting geometric objects.
 
 The exact result type of an intersection can be determined by using
-`cpp11::result_of<Kernel::Intersect_d(Type1, Type2)>::type`
+`cpp11::result_of<Kernel::Intersect_d(Type1, Type2)>::%type`
 `where `Type1` and `Type2` are the types of the objects
 used in the intersection query. See
 <A HREF="http://www.boost.org/libs/utility/utility.htm#result_of">`cpp11::result_of`</A>