diff --git a/src/BRepClass/BRepClass_FaceExplorer.cxx b/src/BRepClass/BRepClass_FaceExplorer.cxx
index 88ad99afb8..a7a6863da3 100644
--- a/src/BRepClass/BRepClass_FaceExplorer.cxx
+++ b/src/BRepClass/BRepClass_FaceExplorer.cxx
@@ -96,7 +96,7 @@ Standard_Boolean BRepClass_FaceExplorer::CheckPoint(gp_Pnt2d& thePoint)
   else
   {
     Standard_Real anEpsilon = Epsilon(aDistance);
-    if (anEpsilon > Max (myUMax - myUMin, myVMax - myVMin))
+    if (anEpsilon > Max (myUMax - myUMin, myVMax - myVMin) && anEpsilon > 1e-100)
     {
       gp_Vec2d aLinVec(aCenterPnt, thePoint);
       gp_Dir2d aLinDir(aLinVec);
diff --git a/src/gce/gce_MakeCirc.cxx b/src/gce/gce_MakeCirc.cxx
index 18ecf6b2b1..037aacd84d 100644
--- a/src/gce/gce_MakeCirc.cxx
+++ b/src/gce/gce_MakeCirc.cxx
@@ -53,7 +53,7 @@ gce_MakeCirc::gce_MakeCirc(const gp_Pnt&  P1 ,
 //=========================================================================
   Standard_Real dist1, dist2, dist3, aResolution;
   //
-  aResolution = gp::Resolution();
+  aResolution = 1e-12;
   //
   dist1 = P1.Distance(P2);
   dist2 = P1.Distance(P3);