diff --git a/python/core/auto_generated/geometry/qgsgeometry.sip.in b/python/core/auto_generated/geometry/qgsgeometry.sip.in
index 1d9ac9f3ccb..eaeaa0542be 100644
--- a/python/core/auto_generated/geometry/qgsgeometry.sip.in
+++ b/python/core/auto_generated/geometry/qgsgeometry.sip.in
@@ -1229,6 +1229,21 @@ Curved geometry types are automatically segmentized by this routine.
 .. seealso:: :py:func:`densifyByCount`
 
 .. versionadded:: 3.0
+%End
+
+    QgsGeometry convertToCurves( double distanceTolerance = 1e-8, double angleTolerance = 1e-8 ) const;
+%Docstring
+Attempts to convert a non-curved geometry into a curved geometry type (e.g.
+LineString to CompoundCurve, Polygon to CurvePolygon).
+
+The ``distanceTolerance`` specifies the maximum deviation allowed between the original location
+of vertices and where they would fall on the candidate curved geometry.
+
+This method only consider a segments as suitable for replacing with an arc if the points are all
+regularly spaced on the candidate arc. The ``pointSpacingAngleTolerance`` parameter specifies the maximum
+angular deviation (in radians) allowed when testing for regular point spacing.
+
+.. versionadded:: 3.14
 %End
 
     QgsGeometry centroid() const;
diff --git a/python/core/auto_generated/geometry/qgsgeometryutils.sip.in b/python/core/auto_generated/geometry/qgsgeometryutils.sip.in
index 9ee9a139f30..fcf1c81cfd1 100644
--- a/python/core/auto_generated/geometry/qgsgeometryutils.sip.in
+++ b/python/core/auto_generated/geometry/qgsgeometryutils.sip.in
@@ -242,7 +242,7 @@ Project the point on a segment
 
     static int leftOfLine( const double x, const double y, const double x1, const double y1, const double x2, const double y2 );
 %Docstring
-Returns a value < 0 if the point (``x``, ``y``) is left of the line from (``x1``, ``y1``) -> ( ``x2``, ``y2``).
+Returns a value < 0 if the point (``x``, ``y``) is left of the line from (``x1``, ``y1``) -> (``x2``, ``y2``).
 A positive return value indicates the point is to the right of the line.
 
 If the return value is 0, then the test was unsuccessful (e.g. due to testing a point exactly
@@ -352,6 +352,22 @@ Calculates the direction angle of a circle tangent (clockwise from north in radi
 Convert circular arc defined by p1, p2, p3 (p1/p3 being start resp. end point, p2 lies on the arc) into a sequence of points.
 
 .. versionadded:: 3.0
+%End
+
+    static bool pointContinuesArc( const QgsPoint &a1, const QgsPoint &a2, const QgsPoint &a3, const QgsPoint &b, double distanceTolerance,
+                                   double pointSpacingAngleTolerance );
+%Docstring
+Returns true if point ``b`` is on the arc formed by points ``a1``, ``a2``, and ``a3``, but not within
+that arc portion already described by ``a1``, ``a2`` and ``a3``.
+
+The ``distanceTolerance`` specifies the maximum deviation allowed between the original location
+of point \b and where it would fall on the candidate arc.
+
+This method only consider a segments as continuing an arc if the points are all regularly spaced
+on the candidate arc. The ``pointSpacingAngleTolerance`` parameter specifies the maximum
+angular deviation (in radians) allowed when testing for regular point spacing.
+
+.. versionadded:: 3.14
 %End
 
     static int segmentSide( const QgsPoint &pt1, const QgsPoint &pt3, const QgsPoint &pt2 );
diff --git a/src/analysis/processing/qgsalgorithmconverttocurves.h b/src/analysis/processing/qgsalgorithmconverttocurves.h
index 972ee69afbd..f373ac3d3c0 100644
--- a/src/analysis/processing/qgsalgorithmconverttocurves.h
+++ b/src/analysis/processing/qgsalgorithmconverttocurves.h
@@ -15,8 +15,8 @@
  *                                                                         *
  ***************************************************************************/
 
-#ifndef QGSALGORITHMSEGMENTIZE_H
-#define QGSALGORITHMSEGMENTIZE_H
+#ifndef QGSALGORITHMCONVERTTOCURVES_H
+#define QGSALGORITHMCONVERTTOCURVES_H
 
 #define SIP_NO_FILE
 
@@ -65,6 +65,6 @@ class QgsConvertToCurvesAlgorithm : public QgsProcessingFeatureBasedAlgorithm
 
 ///@endcond PRIVATE
 
-#endif // QGSALGORITHMSEGMENTIZE_H
+#endif // QGSALGORITHMCONVERTTOCURVES_H
 
 
diff --git a/src/core/geometry/qgsgeometry.h b/src/core/geometry/qgsgeometry.h
index 1d1226b9671..5ce7c4b82b1 100644
--- a/src/core/geometry/qgsgeometry.h
+++ b/src/core/geometry/qgsgeometry.h
@@ -1254,7 +1254,7 @@ class CORE_EXPORT QgsGeometry
      * regularly spaced on the candidate arc. The \a pointSpacingAngleTolerance parameter specifies the maximum
      * angular deviation (in radians) allowed when testing for regular point spacing.
      *
-     * \since QGIS 3.2
+     * \since QGIS 3.14
      */
     QgsGeometry convertToCurves( double distanceTolerance = 1e-8, double angleTolerance = 1e-8 ) const;
 
diff --git a/src/core/geometry/qgsgeometryutils.h b/src/core/geometry/qgsgeometryutils.h
index 6f164b4edde..899c3d74986 100644
--- a/src/core/geometry/qgsgeometryutils.h
+++ b/src/core/geometry/qgsgeometryutils.h
@@ -383,7 +383,7 @@ class CORE_EXPORT QgsGeometryUtils
      * on the candidate arc. The \a pointSpacingAngleTolerance parameter specifies the maximum
      * angular deviation (in radians) allowed when testing for regular point spacing.
      *
-     * \since QGIS 3.2
+     * \since QGIS 3.14
      */
     static bool pointContinuesArc( const QgsPoint &a1, const QgsPoint &a2, const QgsPoint &a3, const QgsPoint &b, double distanceTolerance,
                                    double pointSpacingAngleTolerance );
diff --git a/src/core/geometry/qgsinternalgeometryengine.h b/src/core/geometry/qgsinternalgeometryengine.h
index 1e9528249aa..00c3bdf7d9d 100644
--- a/src/core/geometry/qgsinternalgeometryengine.h
+++ b/src/core/geometry/qgsinternalgeometryengine.h
@@ -177,7 +177,7 @@ class QgsInternalGeometryEngine
      * regularly spaced on the candidate arc. The \a pointSpacingAngleTolerance parameter specifies the maximum
      * angular deviation (in radians) allowed when testing for regular point spacing.
      *
-     * \since QGIS 3.2
+     * \since QGIS 3.14
      */
     QgsGeometry convertToCurves( double distanceTolerance, double angleTolerance ) const;