diff --git a/Specs/Core/CircleGeometrySpec.js b/Specs/Core/CircleGeometrySpec.js
index 423255b02f0b..aa4e4a2dc35e 100644
--- a/Specs/Core/CircleGeometrySpec.js
+++ b/Specs/Core/CircleGeometrySpec.js
@@ -158,10 +158,10 @@ defineSuite([
         });
 
         var r = ellipse.rectangle;
-        expect(r.north).toEqualEpsilon(0.698966597893341, CesiumMath.EPSILON7);
-        expect(r.south).toEqualEpsilon(0.698652226072367, CesiumMath.EPSILON7);
-        expect(r.east).toEqualEpsilon(-1.3192254919753026, CesiumMath.EPSILON7);
-        expect(r.west).toEqualEpsilon(-1.3196344953554853, CesiumMath.EPSILON7);
+        expect(r.north).toEqualEpsilon(0.698966597893341, CesiumMath.EPSILON15);
+        expect(r.south).toEqualEpsilon(0.698652226072367, CesiumMath.EPSILON15);
+        expect(r.east).toEqualEpsilon(-1.3192254919753026, CesiumMath.EPSILON15);
+        expect(r.west).toEqualEpsilon(-1.3196344953554853, CesiumMath.EPSILON15);
     });
 
     it('computing textureCoordinateRotationPoints property', function() {
diff --git a/Specs/Core/RectangleGeometrySpec.js b/Specs/Core/RectangleGeometrySpec.js
index ba6d2457d232..e3b649df6400 100644
--- a/Specs/Core/RectangleGeometrySpec.js
+++ b/Specs/Core/RectangleGeometrySpec.js
@@ -380,10 +380,10 @@ defineSuite([
         });
 
         var r = geometry.rectangle;
-        expect(CesiumMath.toDegrees(r.north)).toEqualEpsilon(1.414213562373095, CesiumMath.EPSILON7);
-        expect(CesiumMath.toDegrees(r.south)).toEqualEpsilon(-1.414213562373095, CesiumMath.EPSILON7);
-        expect(CesiumMath.toDegrees(r.east)).toEqualEpsilon(1.414213562373095, CesiumMath.EPSILON7);
-        expect(CesiumMath.toDegrees(r.west)).toEqualEpsilon(-1.4142135623730951, CesiumMath.EPSILON7);
+        expect(CesiumMath.toDegrees(r.north)).toEqualEpsilon(1.414213562373095, CesiumMath.EPSILON15);
+        expect(CesiumMath.toDegrees(r.south)).toEqualEpsilon(-1.414213562373095, CesiumMath.EPSILON15);
+        expect(CesiumMath.toDegrees(r.east)).toEqualEpsilon(1.414213562373095, CesiumMath.EPSILON15);
+        expect(CesiumMath.toDegrees(r.west)).toEqualEpsilon(-1.4142135623730951, CesiumMath.EPSILON15);
     });
 
     it('computing textureCoordinateRotationPoints property', function() {