diff --git a/src/path/CurveLocation.js b/src/path/CurveLocation.js
index 34b877ecee..b66602b7cb 100644
--- a/src/path/CurveLocation.js
+++ b/src/path/CurveLocation.js
@@ -371,8 +371,8 @@ var CurveLocation = Base.extend(/** @lends CurveLocation# */{
             || loc instanceof CurveLocation
                 // Call getCurve() and getParameter() to keep in sync
                 && this.getCurve() === loc.getCurve()
-                && Math.abs(this.getParameter() - loc.getParameter())
-                   < /*#=*/Numerical.CURVETIME_EPSILON
+                && this.getPoint().isClose(loc.getPoint(),
+                    /*#=*/Numerical.GEOMETRIC_EPSILON)
                 && (_ignoreOther
                     || (!this._intersection && !loc._intersection
                         || this._intersection && this._intersection.equals(