diff --git a/src/ol/projection/epsg3857.js b/src/ol/projection/epsg3857.js
index 0d183c3e66..93a99f8a62 100644
--- a/src/ol/projection/epsg3857.js
+++ b/src/ol/projection/epsg3857.js
@@ -4,6 +4,7 @@ goog.require('goog.array');
 goog.require('ol.Extent');
 goog.require('ol.Projection');
 goog.require('ol.ProjectionUnits');
+goog.require('ol.math');
 goog.require('ol.projection');
 
 
@@ -128,3 +129,12 @@ ol.projection.EPSG3857.toEPSG4326 = function(input, opt_output, opt_dimension) {
   }
   return output;
 };
+
+
+/**
+ * @inheritDoc
+ */
+ol.projection.EPSG3857.prototype.getPointResolution =
+    function(resolution, point) {
+  return resolution / ol.math.cosh(point.y / ol.projection.EPSG3857.RADIUS);
+};
diff --git a/test/spec/ol/projection.epsg3857.test.js b/test/spec/ol/projection.epsg3857.test.js
new file mode 100644
index 0000000000..51f72444ec
--- /dev/null
+++ b/test/spec/ol/projection.epsg3857.test.js
@@ -0,0 +1,49 @@
+goog.provide('ol.test.projection.EPSG3857');
+
+
+describe('ol.projection.EPSG3857', function() {
+
+  describe('getPointResolution', function() {
+
+    it('returns the correct point scale at the equator', function() {
+      // @see http://msdn.microsoft.com/en-us/library/aa940990.aspx
+      var epsg3857 = ol.projection.getFromCode('EPSG:3857');
+      var resolution = 19.11;
+      var point = new ol.Coordinate(0, 0);
+      expect(epsg3857.getPointResolution(resolution, point)).
+          toRoughlyEqual(19.11, 1e-1);
+    });
+
+    it('returns the correct point scale at the latitude of Toronto',
+        function() {
+      // @see http://msdn.microsoft.com/en-us/library/aa940990.aspx
+      var epsg3857 = ol.projection.getFromCode('EPSG:3857');
+      var epsg4326 = ol.projection.getFromCode('EPSG:4326');
+      var resolution = 19.11;
+      var point = ol.projection.transform(
+          new ol.Coordinate(0, 43.65), epsg4326, epsg3857);
+      expect(epsg3857.getPointResolution(resolution, point)).
+          toRoughlyEqual(19.11 * Math.cos(Math.PI * 43.65 / 180), 1e-9);
+    });
+
+    it('returns the correct point scale at various latitudes', function() {
+      // @see http://msdn.microsoft.com/en-us/library/aa940990.aspx
+      var epsg3857 = ol.projection.getFromCode('EPSG:3857');
+      var epsg4326 = ol.projection.getFromCode('EPSG:4326');
+      var resolution = 19.11;
+      var latitude;
+      for (latitude = 0; latitude < 90; ++latitude) {
+        var point = ol.projection.transform(
+            new ol.Coordinate(0, latitude), epsg4326, epsg3857);
+        expect(epsg3857.getPointResolution(resolution, point)).
+            toRoughlyEqual(19.11 * Math.cos(Math.PI * latitude / 180), 1e-9);
+      }
+    });
+
+  });
+
+});
+
+
+goog.require('ol.Coordinate');
+goog.require('ol.projection.EPSG3857');