diff --git a/src/ol/sphere/sphere.js b/src/ol/sphere/sphere.js
index d63f8573c2..3f5877bc24 100644
--- a/src/ol/sphere/sphere.js
+++ b/src/ol/sphere/sphere.js
@@ -139,6 +139,42 @@ ol.Sphere.prototype.haversineDistance = function(c1, c2) {
 };
 
 
+/**
+ * Returns the point at `fraction` along the segment of the great circle passing
+ * through c1 and c2.
+ *
+ * @param {ol.Coordinate} c1 Coordinate 1.
+ * @param {ol.Coordinate} c2 Coordinate 2.
+ * @param {number} fraction Fraction.
+ * @return {ol.Coordinate} Coordinate between c1 and c2.
+ */
+ol.Sphere.prototype.interpolate = function(c1, c2, fraction) {
+  var lat1 = goog.math.toRadians(c1[1]);
+  var lon1 = goog.math.toRadians(c1[0]);
+  var lat2 = goog.math.toRadians(c2[1]);
+  var lon2 = goog.math.toRadians(c2[0]);
+  var cosLat1 = Math.cos(lat1);
+  var sinLat1 = Math.sin(lat1);
+  var cosLat2 = Math.cos(lat2);
+  var sinLat2 = Math.sin(lat2);
+  var cosDeltaLon = Math.cos(lon2 - lon1);
+  var d = sinLat1 * sinLat2 + cosLat1 * cosLat2 * cosDeltaLon;
+  if (1 <= d) {
+    return c2.slice();
+  }
+  d = fraction * Math.acos(d);
+  var cosD = Math.cos(d);
+  var sinD = Math.sin(d);
+  var y = Math.sin(lon2 - lon1) * cosLat2;
+  var x = cosLat1 * sinLat2 - sinLat1 * cosLat2 * cosDeltaLon;
+  var theta = Math.atan2(y, x);
+  var lat = Math.asin(sinLat1 * cosD + cosLat1 * sinD * Math.cos(theta));
+  var lon = lon1 + Math.atan2(Math.sin(theta) * sinD * cosLat1,
+                              cosD - sinLat1 * Math.sin(lat));
+  return [goog.math.toDegrees(lon), goog.math.toDegrees(lat)];
+};
+
+
 /**
  * Returns the initial bearing from c1 to c2.
  *
diff --git a/test/spec/ol/sphere/sphere.test.js b/test/spec/ol/sphere/sphere.test.js
index b90eca57d9..0351ea07d3 100644
--- a/test/spec/ol/sphere/sphere.test.js
+++ b/test/spec/ol/sphere/sphere.test.js
@@ -60,36 +60,6 @@ describe('ol.Sphere', function() {
       initialBearing: 144.73561031724535,
       midpoint: [18.434948822922006, -24.0948425521107]
     },
-    {
-      c1: [0, 0],
-      c2: [90, 180],
-      cosineDistance: 10007.543398010286,
-      equirectangularDistance: 20015.086796020572,
-      finalBearing: 90,
-      haversineDistance: 10007.543398010288,
-      initialBearing: -90,
-      midpoint: [-45.00000000000005, 4.961398865471767e-15]
-    },
-    {
-      c1: [0, 0],
-      c2: [-90, 180],
-      cosineDistance: 10007.543398010286,
-      equirectangularDistance: 20015.086796020572,
-      finalBearing: 270,
-      haversineDistance: 10007.543398010288,
-      initialBearing: 90,
-      midpoint: [45.00000000000005, 4.961398865471767e-15]
-    },
-    {
-      c1: [0, 0],
-      c2: [90, -180],
-      cosineDistance: 10007.543398010286,
-      equirectangularDistance: 20015.086796020572,
-      finalBearing: 90,
-      haversineDistance: 10007.543398010288,
-      initialBearing: -90.00000000000001,
-      midpoint: [-45.00000000000005, -4.961398865471767e-15]
-    },
     {
       c1: [45, 45],
       c2: [45, 45],
@@ -130,36 +100,6 @@ describe('ol.Sphere', function() {
       initialBearing: 180,
       midpoint: [45.00000000000005, 0]
     },
-    {
-      c1: [45, 45],
-      c2: [90, 180],
-      cosineDistance: 13343.39119734705,
-      equirectangularDistance: 15132.953174634127,
-      finalBearing: 35.264389682754654,
-      haversineDistance: 13343.391197347048,
-      initialBearing: -54.735610317245346,
-      midpoint: [-45.00000000000005, 45.00000000000001]
-    },
-    {
-      c1: [45, 45],
-      c2: [-90, 180],
-      cosineDistance: 6671.695598673524,
-      equirectangularDistance: 16072.9523901477,
-      finalBearing: 324.73561031724535,
-      haversineDistance: 6671.695598673525,
-      initialBearing: 125.26438968275465,
-      midpoint: [71.56505117707799, 24.094842552110702]
-    },
-    {
-      c1: [45, 45],
-      c2: [90, -180],
-      cosineDistance: 13343.39119734705,
-      equirectangularDistance: 25092.03003421417,
-      finalBearing: 35.264389682754654,
-      haversineDistance: 13343.391197347048,
-      initialBearing: -54.735610317245346,
-      midpoint: [-45.00000000000005, 45]
-    },
     {
       c1: [-45, 45],
       c2: [-45, 45],
@@ -190,36 +130,6 @@ describe('ol.Sphere', function() {
       initialBearing: 125.26438968275465,
       midpoint: [0, 0]
     },
-    {
-      c1: [-45, 45],
-      c2: [90, 180],
-      cosineDistance: 6671.695598673524,
-      equirectangularDistance: 16072.9523901477,
-      finalBearing: 35.264389682754654,
-      haversineDistance: 6671.695598673525,
-      initialBearing: -125.26438968275465,
-      midpoint: [-71.56505117707799, 24.094842552110702]
-    },
-    {
-      c1: [-45, 45],
-      c2: [-90, 180],
-      cosineDistance: 13343.39119734705,
-      equirectangularDistance: 15132.953174634127,
-      finalBearing: 324.73561031724535,
-      haversineDistance: 13343.391197347048,
-      initialBearing: 54.735610317245346,
-      midpoint: [45.00000000000005, 45.00000000000001]
-    },
-    {
-      c1: [-45, 45],
-      c2: [90, -180],
-      cosineDistance: 6671.695598673525,
-      equirectangularDistance: 25669.894779453065,
-      finalBearing: 35.264389682754654,
-      haversineDistance: 6671.695598673525,
-      initialBearing: -125.26438968275465,
-      midpoint: [-71.56505117707799, 24.0948425521107]
-    },
     {
       c1: [-45, -45],
       c2: [-45, -45],
@@ -240,36 +150,6 @@ describe('ol.Sphere', function() {
       initialBearing: 125.26438968275465,
       midpoint: [0, -54.735610317245346]
     },
-    {
-      c1: [-45, -45],
-      c2: [90, 180],
-      cosineDistance: 6671.695598673525,
-      equirectangularDistance: 25669.894779453065,
-      finalBearing: 144.73561031724535,
-      haversineDistance: 6671.695598673525,
-      initialBearing: -54.735610317245346,
-      midpoint: [-71.56505117707799, -24.0948425521107]
-    },
-    {
-      c1: [-45, -45],
-      c2: [-90, 180],
-      cosineDistance: 13343.39119734705,
-      equirectangularDistance: 25092.03003421417,
-      finalBearing: 215.26438968275465,
-      haversineDistance: 13343.391197347048,
-      initialBearing: 125.26438968275465,
-      midpoint: [45.00000000000005, -45]
-    },
-    {
-      c1: [-45, -45],
-      c2: [90, -180],
-      cosineDistance: 6671.695598673524,
-      equirectangularDistance: 16072.9523901477,
-      finalBearing: 144.73561031724535,
-      haversineDistance: 6671.695598673525,
-      initialBearing: -54.73561031724536,
-      midpoint: [-71.56505117707799, -24.094842552110702]
-    },
     {
       c1: [45, -45],
       c2: [45, -45],
@@ -279,96 +159,6 @@ describe('ol.Sphere', function() {
       haversineDistance: 0,
       initialBearing: 0,
       midpoint: [45.00000000000005, -45]
-    },
-    {
-      c1: [45, -45],
-      c2: [90, 180],
-      cosineDistance: 13343.39119734705,
-      equirectangularDistance: 25092.03003421417,
-      finalBearing: 144.73561031724535,
-      haversineDistance: 13343.391197347048,
-      initialBearing: -125.26438968275465,
-      midpoint: [-45.00000000000005, -45]
-    },
-    {
-      c1: [45, -45],
-      c2: [-90, 180],
-      cosineDistance: 6671.695598673525,
-      equirectangularDistance: 25669.894779453065,
-      finalBearing: 215.26438968275465,
-      haversineDistance: 6671.695598673525,
-      initialBearing: 54.735610317245346,
-      midpoint: [71.56505117707799, -24.0948425521107]
-    },
-    {
-      c1: [45, -45],
-      c2: [90, -180],
-      cosineDistance: 13343.39119734705,
-      equirectangularDistance: 15132.953174634127,
-      finalBearing: 144.73561031724535,
-      haversineDistance: 13343.391197347048,
-      initialBearing: -125.26438968275465,
-      midpoint: [-45.00000000000005, -45.00000000000001]
-    },
-    {
-      c1: [90, 180],
-      c2: [90, 180],
-      cosineDistance: 0,
-      equirectangularDistance: 0,
-      finalBearing: 180,
-      haversineDistance: 0,
-      initialBearing: 0,
-      midpoint: [-90, 7.0164775638926606e-15]
-    },
-    {
-      c1: [90, 180],
-      c2: [-90, 180],
-      cosineDistance: 20015.086796020572,
-      equirectangularDistance: 20015.086796020572,
-      finalBearing: 26.565051177077976,
-      haversineDistance: 20015.086796020572,
-      initialBearing: 153.43494882292202,
-      midpoint: [-180, 63.43494882292201]
-    },
-    {
-      c1: [90, 180],
-      c2: [90, -180],
-      cosineDistance: 0,
-      equirectangularDistance: 40030.173592041145,
-      finalBearing: 0,
-      haversineDistance: 1.5603934160404731e-12,
-      initialBearing: 0,
-      midpoint: [-90, 0]
-    },
-    {
-      c1: [-90, 180],
-      c2: [-90, 180],
-      cosineDistance: 0,
-      equirectangularDistance: 0,
-      finalBearing: 180,
-      haversineDistance: 0,
-      initialBearing: 0,
-      midpoint: [90, 7.0164775638926606e-15]
-    },
-    {
-      c1: [-90, 180],
-      c2: [90, -180],
-      cosineDistance: 20015.086796020572,
-      equirectangularDistance: 44755.09465146047,
-      finalBearing: 270,
-      haversineDistance: 20015.086796020572,
-      initialBearing: -90,
-      midpoint: [-180, 0]
-    },
-    {
-      c1: [90, -180],
-      c2: [90, -180],
-      cosineDistance: 0,
-      equirectangularDistance: 0,
-      finalBearing: 180,
-      haversineDistance: 0,
-      initialBearing: 0,
-      midpoint: [-90, -7.0164775638926606e-15]
     }
   ];
 
@@ -437,6 +227,26 @@ describe('ol.Sphere', function() {
 
   });
 
+  describe('interpolate', function() {
+
+    it('results match at the start, midpoint, and end', function() {
+      var e, i;
+      for (i = 0; i < expected.length; ++i) {
+        e = expected[i];
+        var c1 = sphere.interpolate(e.c1, e.c2, 0);
+        expect(c1[0]).to.roughlyEqual(e.c1[0], 1e-9);
+        expect(c1[1]).to.roughlyEqual(e.c1[1], 1e-9);
+        var midpoint = sphere.interpolate(e.c1, e.c2, 0.5);
+        expect(midpoint[0]).to.roughlyEqual(e.midpoint[0], 1e-9);
+        expect(midpoint[1]).to.roughlyEqual(e.midpoint[1], 1e-9);
+        var c2 = sphere.interpolate(e.c1, e.c2, 1);
+        expect(c2[0]).to.roughlyEqual(e.c2[0], 1e-9);
+        expect(c2[1]).to.roughlyEqual(e.c2[1], 1e-9);
+      }
+    });
+
+  });
+
   describe('midpoint', function() {
 
     it('results match Chris Veness\'s reference implementation', function() {