diff --git a/doc/api/next_api_changes/deprecations/25728-OG.rst b/doc/api/next_api_changes/deprecations/25728-OG.rst
new file mode 100644
index 000000000000..09af74845c4a
--- /dev/null
+++ b/doc/api/next_api_changes/deprecations/25728-OG.rst
@@ -0,0 +1,4 @@
+``ft2font.FT2Image.draw_rect`` and ``ft2font.FT2Font.get_xys``
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+... are deprecated as they are unused. If you rely on these, please let us know.
diff --git a/src/_path.h b/src/_path.h
index bfbb7b49d254..b04e49bb8ffb 100644
--- a/src/_path.h
+++ b/src/_path.h
@@ -282,35 +282,15 @@ inline bool point_in_path(
     return result[0] != 0;
 }
 
-template <class PathIterator, class PointArray, class ResultArray>
-void points_on_path(PointArray &points,
-                    const double r,
-                    PathIterator &path,
-                    agg::trans_affine &trans,
-                    ResultArray result)
+template <class PathIterator>
+inline bool point_on_path(
+    double x, double y, const double r, PathIterator &path, agg::trans_affine &trans)
 {
     typedef agg::conv_transform<PathIterator> transformed_path_t;
     typedef PathNanRemover<transformed_path_t> no_nans_t;
     typedef agg::conv_curve<no_nans_t> curve_t;
     typedef agg::conv_stroke<curve_t> stroke_t;
 
-    size_t i;
-    for (i = 0; i < points.size(); ++i) {
-        result[i] = false;
-    }
-
-    transformed_path_t trans_path(path, trans);
-    no_nans_t nan_removed_path(trans_path, true, path.has_codes());
-    curve_t curved_path(nan_removed_path);
-    stroke_t stroked_path(curved_path);
-    stroked_path.width(r * 2.0);
-    point_in_path_impl(points, stroked_path, result);
-}
-
-template <class PathIterator>
-inline bool point_on_path(
-    double x, double y, const double r, PathIterator &path, agg::trans_affine &trans)
-{
     npy_intp shape[] = {1, 2};
     numpy::array_view<double, 2> points(shape);
     points(0, 0) = x;
@@ -319,8 +299,12 @@ inline bool point_on_path(
     int result[1];
     result[0] = 0;
 
-    points_on_path(points, r, path, trans, result);
-
+    transformed_path_t trans_path(path, trans);
+    no_nans_t nan_removed_path(trans_path, true, path.has_codes());
+    curve_t curved_path(nan_removed_path);
+    stroke_t stroked_path(curved_path);
+    stroked_path.width(r * 2.0);
+    point_in_path_impl(points, stroked_path, result);
     return result[0] != 0;
 }
 
diff --git a/src/_path_wrapper.cpp b/src/_path_wrapper.cpp
index e1cb0a4f89af..6b19c0f8ac1e 100644
--- a/src/_path_wrapper.cpp
+++ b/src/_path_wrapper.cpp
@@ -91,98 +91,6 @@ static PyObject *Py_points_in_path(PyObject *self, PyObject *args)
     return results.pyobj();
 }
 
-const char *Py_point_on_path__doc__ =
-    "point_on_path(x, y, radius, path, trans)\n"
-    "--\n\n";
-
-static PyObject *Py_point_on_path(PyObject *self, PyObject *args)
-{
-    double x, y, r;
-    py::PathIterator path;
-    agg::trans_affine trans;
-    bool result;
-
-    if (!PyArg_ParseTuple(args,
-                          "dddO&O&:point_on_path",
-                          &x,
-                          &y,
-                          &r,
-                          &convert_path,
-                          &path,
-                          &convert_trans_affine,
-                          &trans)) {
-        return NULL;
-    }
-
-    CALL_CPP("point_on_path", (result = point_on_path(x, y, r, path, trans)));
-
-    if (result) {
-        Py_RETURN_TRUE;
-    } else {
-        Py_RETURN_FALSE;
-    }
-}
-
-const char *Py_points_on_path__doc__ =
-    "points_on_path(points, radius, path, trans)\n"
-    "--\n\n";
-
-static PyObject *Py_points_on_path(PyObject *self, PyObject *args)
-{
-    numpy::array_view<const double, 2> points;
-    double r;
-    py::PathIterator path;
-    agg::trans_affine trans;
-
-    if (!PyArg_ParseTuple(args,
-                          "O&dO&O&:points_on_path",
-                          &convert_points,
-                          &points,
-                          &r,
-                          &convert_path,
-                          &path,
-                          &convert_trans_affine,
-                          &trans)) {
-        return NULL;
-    }
-
-    npy_intp dims[] = { (npy_intp)points.size() };
-    numpy::array_view<uint8_t, 1> results(dims);
-
-    CALL_CPP("points_on_path", (points_on_path(points, r, path, trans, results)));
-
-    return results.pyobj();
-}
-
-const char *Py_get_path_extents__doc__ =
-    "get_path_extents(path, trans)\n"
-    "--\n\n";
-
-static PyObject *Py_get_path_extents(PyObject *self, PyObject *args)
-{
-    py::PathIterator path;
-    agg::trans_affine trans;
-
-    if (!PyArg_ParseTuple(
-             args, "O&O&:get_path_extents", &convert_path, &path, &convert_trans_affine, &trans)) {
-        return NULL;
-    }
-
-    extent_limits e;
-
-    CALL_CPP("get_path_extents", (reset_limits(e)));
-    CALL_CPP("get_path_extents", (update_path_extents(path, trans, e)));
-
-    npy_intp dims[] = { 2, 2 };
-    numpy::array_view<double, 2> extents(dims);
-    extents(0, 0) = e.x0;
-    extents(0, 1) = e.y0;
-    extents(1, 0) = e.x1;
-    extents(1, 1) = e.y1;
-
-    return extents.pyobj();
-}
-
 const char *Py_update_path_extents__doc__ =
     "update_path_extents(path, trans, rect, minpos, ignore)\n"
     "--\n\n";
@@ -845,9 +753,6 @@ static PyObject *Py_is_sorted(PyObject *self, PyObject *obj)
 static PyMethodDef module_functions[] = {
     {"point_in_path", (PyCFunction)Py_point_in_path, METH_VARARGS, Py_point_in_path__doc__},
     {"points_in_path", (PyCFunction)Py_points_in_path, METH_VARARGS, Py_points_in_path__doc__},
-    {"point_on_path", (PyCFunction)Py_point_on_path, METH_VARARGS, Py_point_on_path__doc__},
-    {"points_on_path", (PyCFunction)Py_points_on_path, METH_VARARGS, Py_points_on_path__doc__},
-    {"get_path_extents", (PyCFunction)Py_get_path_extents, METH_VARARGS, Py_get_path_extents__doc__},
     {"update_path_extents", (PyCFunction)Py_update_path_extents, METH_VARARGS, Py_update_path_extents__doc__},
     {"get_path_collection_extents", (PyCFunction)Py_get_path_collection_extents, METH_VARARGS, Py_get_path_collection_extents__doc__},
     {"point_in_path_collection", (PyCFunction)Py_point_in_path_collection, METH_VARARGS, Py_point_in_path_collection__doc__},
diff --git a/src/ft2font.cpp b/src/ft2font.cpp
index 2e5d6e63b87d..975041374133 100644
--- a/src/ft2font.cpp
+++ b/src/ft2font.cpp
@@ -725,11 +725,6 @@ FT_UInt FT2Font::get_char_index(FT_ULong charcode, bool fallback = false)
     return ft_get_char_index_or_warn(ft_object->get_face(), charcode, false);
 }
 
-void FT2Font::get_cbox(FT_BBox &bbox)
-{
-    FT_Glyph_Get_CBox(glyphs.back(), ft_glyph_bbox_subpixels, &bbox);
-}
-
 void FT2Font::get_width_height(long *width, long *height)
 {
     *width = advance;
diff --git a/src/ft2font.h b/src/ft2font.h
index dc157f0e2887..d566c3f9bd9d 100644
--- a/src/ft2font.h
+++ b/src/ft2font.h
@@ -37,7 +37,6 @@ class FT2Image
 
     void resize(long width, long height);
     void draw_bitmap(FT_Bitmap *bitmap, FT_Int x, FT_Int y);
-    void write_bitmap(FILE *fp) const;
     void draw_rect(unsigned long x0, unsigned long y0, unsigned long x1, unsigned long y1);
     void draw_rect_filled(unsigned long x0, unsigned long y0, unsigned long x1, unsigned long y1);
 
@@ -106,7 +105,6 @@ class FT2Font
     void get_glyph_name(unsigned int glyph_number, char *buffer, bool fallback);
     long get_name_index(char *name);
     FT_UInt get_char_index(FT_ULong charcode, bool fallback);
-    void get_cbox(FT_BBox &bbox);
     PyObject* get_path();
     bool get_char_fallback_index(FT_ULong charcode, int& index) const;
 
diff --git a/src/ft2font_wrapper.cpp b/src/ft2font_wrapper.cpp
index 41109bf13860..8f37b5c7d9ad 100644
--- a/src/ft2font_wrapper.cpp
+++ b/src/ft2font_wrapper.cpp
@@ -69,10 +69,21 @@ static void PyFT2Image_dealloc(PyFT2Image *self)
 const char *PyFT2Image_draw_rect__doc__ =
     "draw_rect(self, x0, y0, x1, y1)\n"
     "--\n\n"
-    "Draw an empty rectangle to the image.\n";
+    "Draw an empty rectangle to the image.\n"
+    "\n"
+    ".. deprecated:: 3.8\n";
+;
 
 static PyObject *PyFT2Image_draw_rect(PyFT2Image *self, PyObject *args)
 {
+    char const* msg =
+        "FT2Image.draw_rect is deprecated since Matplotlib 3.8 and will be removed "
+        "two minor releases later as it is not used in the library. If you rely on "
+        "it, please let us know.";
+    if (PyErr_WarnEx(PyExc_DeprecationWarning, msg, 1)) {
+        return NULL;
+    }
+
     double x0, y0, x1, y1;
 
     if (!PyArg_ParseTuple(args, "dddd:draw_rect", &x0, &y0, &x1, &y1)) {
@@ -820,10 +831,20 @@ static PyObject *PyFT2Font_draw_glyphs_to_bitmap(PyFT2Font *self, PyObject *args
 const char *PyFT2Font_get_xys__doc__ =
     "get_xys(self, antialiased=True)\n"
     "--\n\n"
-    "Get the xy locations of the current glyphs.\n";
+    "Get the xy locations of the current glyphs.\n"
+    "\n"
+    ".. deprecated:: 3.8\n";
 
 static PyObject *PyFT2Font_get_xys(PyFT2Font *self, PyObject *args, PyObject *kwds)
 {
+    char const* msg =
+        "FT2Font.get_xys is deprecated since Matplotlib 3.8 and will be removed two "
+        "minor releases later as it is not used in the library. If you rely on it, "
+        "please let us know.";
+    if (PyErr_WarnEx(PyExc_DeprecationWarning, msg, 1)) {
+        return NULL;
+    }
+
     bool antialiased = true;
     std::vector<double> xys;
     const char *names[] = { "antialiased", NULL };
diff --git a/src/tri/_tri.cpp b/src/tri/_tri.cpp
index 548e65b3e52d..b54eb3e07fb8 100644
--- a/src/tri/_tri.cpp
+++ b/src/tri/_tri.cpp
@@ -133,11 +133,6 @@ double XYZ::dot(const XYZ& other) const
     return x*other.x + y*other.y + z*other.z;
 }
 
-double XYZ::length_squared() const
-{
-    return x*x + y*y + z*z;
-}
-
 XYZ XYZ::operator-(const XYZ& other) const
 {
     return XYZ(x - other.x, y - other.y, z - other.z);
@@ -182,12 +177,6 @@ ContourLine::ContourLine()
     : std::vector<XY>()
 {}
 
-void ContourLine::insert_unique(iterator pos, const XY& point)
-{
-    if (empty() || pos == end() || point != *pos)
-        std::vector<XY>::insert(pos, point);
-}
-
 void ContourLine::push_back(const XY& point)
 {
     if (empty() || point != back())
diff --git a/src/tri/_tri.h b/src/tri/_tri.h
index 6c6c66a01120..c176b4c0e8f5 100644
--- a/src/tri/_tri.h
+++ b/src/tri/_tri.h
@@ -116,7 +116,6 @@ struct XYZ
     XYZ(const double& x_, const double& y_, const double& z_);
     XYZ cross(const XYZ& other) const;
     double dot(const XYZ& other) const;
-    double length_squared() const;
     XYZ operator-(const XYZ& other) const;
     friend std::ostream& operator<<(std::ostream& os, const XYZ& xyz);
 
@@ -137,14 +136,12 @@ class BoundingBox
 };
 
 /* A single line of a contour, which may be a closed line loop or an open line
- * strip.  Identical adjacent points are avoided using insert_unique() and
- * push_back(), and a closed line loop should also not have identical first and
- * last points. */
+ * strip.  Identical adjacent points are avoided using push_back(), and a closed
+ * line loop should also not have identical first and last points. */
 class ContourLine : public std::vector<XY>
 {
 public:
     ContourLine();
-    void insert_unique(iterator pos, const XY& point);
     void push_back(const XY& point);
     void write() const;
 };

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