diff --git a/include/boost/geometry/algorithms/detail/overlay/overlay.hpp b/include/boost/geometry/algorithms/detail/overlay/overlay.hpp
index ab5b6d123..41665e0af 100644
--- a/include/boost/geometry/algorithms/detail/overlay/overlay.hpp
+++ b/include/boost/geometry/algorithms/detail/overlay/overlay.hpp
@@ -233,7 +233,7 @@ std::cout << "traverse" << std::endl;
         std::cout << "map_turns: " << timer.elapsed() << std::endl;
 #endif
 
-        typedef ring_properties<typename geometry::point_type<Geometry1>::type> properties;
+        typedef ring_properties<typename geometry::point_type<GeometryOut>::type> properties;
 
         std::map<ring_identifier, properties> selected;
         select_rings<Direction>(geometry1, geometry2, map, selected, ! turn_points.empty());
diff --git a/include/boost/geometry/algorithms/detail/point_on_border.hpp b/include/boost/geometry/algorithms/detail/point_on_border.hpp
index 33177924a..b7e15ba3f 100644
--- a/include/boost/geometry/algorithms/detail/point_on_border.hpp
+++ b/include/boost/geometry/algorithms/detail/point_on_border.hpp
@@ -25,6 +25,7 @@
 #include <boost/geometry/geometries/concepts/check.hpp>
 
 #include <boost/geometry/algorithms/assign.hpp>
+#include <boost/geometry/algorithms/detail/convert_point_to_point.hpp>
 #include <boost/geometry/algorithms/detail/disjoint.hpp>
 
 
@@ -50,7 +51,8 @@ struct get_point
 template<typename Point, std::size_t Dimension, std::size_t DimensionCount>
 struct midpoint_helper
 {
-    static inline bool apply(Point& p, Point const& p1, Point const& p2)
+    template <typename InputPoint>
+    static inline bool apply(Point& p, InputPoint const& p1, InputPoint const& p2)
     {
         typename coordinate_type<Point>::type const two = 2;
         set<Dimension>(p,
@@ -63,7 +65,8 @@ struct midpoint_helper
 template <typename Point, std::size_t DimensionCount>
 struct midpoint_helper<Point, DimensionCount, DimensionCount>
 {
-    static inline bool apply(Point& , Point const& , Point const& )
+    template <typename InputPoint>
+    static inline bool apply(Point& , InputPoint const& , InputPoint const& )
     {
         return true;
     }
@@ -102,7 +105,7 @@ struct point_on_range
 
         if (n > 0)
         {
-            point = *boost::begin(range);
+            geometry::detail::conversion::convert_point_to_point(*boost::begin(range), point);
             return true;
         }
         return false;