diff --git a/src/Mod/Part/App/Geometry.cpp b/src/Mod/Part/App/Geometry.cpp
index 95d3db67ef..9a47464e2b 100644
--- a/src/Mod/Part/App/Geometry.cpp
+++ b/src/Mod/Part/App/Geometry.cpp
@@ -795,7 +795,7 @@ GeomBSplineCurve* GeomCurve::toNurbs(double first, double last) const
 
 GeomCurve* GeomCurve::createArc([[maybe_unused]] double first, [[maybe_unused]] double last) const
 {
-    return nullptr;
+    THROWM(Base::NotImplementedError, "createArc: not implemented for this type of curve");
 }
 
 bool GeomCurve::tangent(double u, gp_Dir& dir) const
@@ -3606,13 +3606,21 @@ void GeomHyperbola::setHandle(const Handle(Geom_Hyperbola)& c)
     myCurve = Handle(Geom_Hyperbola)::DownCast(c->Copy());
 }
 
-Geometry *GeomHyperbola::copy() const
+Geometry* GeomHyperbola::copy() const
 {
     GeomHyperbola *newHyp = new GeomHyperbola(myCurve);
     newHyp->copyNonTag(this);
     return newHyp;
 }
 
+GeomCurve* GeomHyperbola::createArc(double first, double last) const
+{
+    auto newArc = new GeomArcOfHyperbola(Handle(Geom_Hyperbola)::DownCast(this->handle()->Copy()));
+    newArc->setRange(first, last, false);
+
+    return newArc;
+}
+
 GeomBSplineCurve* GeomHyperbola::toNurbs(double first, double last) const
 {
     return GeomConic::toNurbs(first, last);
@@ -4058,6 +4066,14 @@ Geometry *GeomParabola::copy() const
     return newPar;
 }
 
+GeomCurve* GeomParabola::createArc(double first, double last) const
+{
+    auto newArc = new GeomArcOfParabola(Handle(Geom_Parabola)::DownCast(this->handle()->Copy()));
+    newArc->setRange(first, last, false);
+
+    return newArc;
+}
+
 GeomBSplineCurve* GeomParabola::toNurbs(double first, double last) const
 {
     // the default implementation suffices because a non-rational B-spline with
diff --git a/src/Mod/Part/App/Geometry.h b/src/Mod/Part/App/Geometry.h
index 1d78d24258..4af1809128 100644
--- a/src/Mod/Part/App/Geometry.h
+++ b/src/Mod/Part/App/Geometry.h
@@ -212,7 +212,7 @@ public:
     */
     virtual GeomBSplineCurve* toNurbs(double first, double last) const;
     /*!
-     * \brief getArc Generates a curve that is an arc of this curve between given parameters
+     * \brief createArc Generates a curve that is an arc of this curve between given parameters
      * \param first Parameter at start of arc
      * \param last Parameter at end of arc. This may be < `first` for periodic curves.
      * \return the new curve
@@ -653,7 +653,8 @@ public:
     GeomHyperbola();
     explicit GeomHyperbola(const Handle(Geom_Hyperbola)&);
     ~GeomHyperbola() override;
-    Geometry *copy() const override;
+    Geometry* copy() const override;
+    GeomCurve* createArc(double first, double last) const override;
 
     double getMajorRadius() const;
     void setMajorRadius(double Radius);
@@ -717,7 +718,8 @@ public:
     GeomParabola();
     explicit GeomParabola(const Handle(Geom_Parabola)&);
     ~GeomParabola() override;
-    Geometry *copy() const override;
+    Geometry* copy() const override;
+    GeomCurve* createArc(double first, double last) const override;
 
     double getFocal() const;
     void setFocal(double length);