diff --git a/lib/matplotlib/figure.py b/lib/matplotlib/figure.py
index 4ce27daa86dd..97adf7354d0b 100644
--- a/lib/matplotlib/figure.py
+++ b/lib/matplotlib/figure.py
@@ -259,15 +259,17 @@ class Figure(Artist):
     the callback will be called with ``func(fig)`` where fig is the
     :class:`Figure` instance.
 
-    *patch*
-       The figure patch is drawn by a
-       :class:`matplotlib.patches.Rectangle` instance
-
-    *suppressComposite*
-       For multiple figure images, the figure will make composite
-       images depending on the renderer option_image_nocomposite
-       function.  If suppressComposite is True|False, this will
-       override the renderer.
+    Attributes
+    ----------
+    patch
+        The figure patch is drawn by a
+        :class:`matplotlib.patches.Rectangle` instance
+
+    suppressComposite
+        For multiple figure images, the figure will make composite images
+        depending on the renderer option_image_nocomposite function.
+        If *suppressComposite* is ``True`` or ``False``, this will override
+        the renderer.
     """
 
     def __str__(self):
@@ -284,33 +286,35 @@ def __init__(self,
                  tight_layout=None,  # default to rc figure.autolayout
                  ):
         """
-        *figsize*
-            w,h tuple in inches
+        Parameters
+        ----------
+        figsize : 2-tuple of floats
+            ``(width, height)`` tuple in inches
 
-        *dpi*
+        dpi : float
             Dots per inch
 
-        *facecolor*
+        facecolor
             The figure patch facecolor; defaults to rc ``figure.facecolor``
 
-        *edgecolor*
+        edgecolor
             The figure patch edge color; defaults to rc ``figure.edgecolor``
 
-        *linewidth*
+        linewidth : float
             The figure patch edge linewidth; the default linewidth of the frame
 
-        *frameon*
-            If *False*, suppress drawing the figure frame
+        frameon : bool
+            If ``False``, suppress drawing the figure frame
 
-        *subplotpars*
-            A :class:`SubplotParams` instance, defaults to rc
+        subplotpars : :class:`SubplotParams`
+            Subplot parameters, defaults to rc
 
-        *tight_layout*
-            If *False* use *subplotpars*; if *True* adjust subplot
+        tight_layout : bool
+            If ``False`` use *subplotpars*; if ``True`` adjust subplot
             parameters using :meth:`tight_layout` with default padding.
-            When providing a dict containing the keys `pad`, `w_pad`, `h_pad`
-            and `rect`, the default :meth:`tight_layout` paddings will be
-            overridden.
+            When providing a dict containing the keys
+            ``pad``, ``w_pad``, ``h_pad``, and ``rect``, the default
+            :meth:`tight_layout` paddings will be overridden.
             Defaults to rc ``figure.autolayout``.
         """
         Artist.__init__(self)
@@ -382,7 +386,7 @@ def _repr_html_(self):
         # We can't use "isinstance" here, because then we'd end up importing
         # webagg unconditiionally.
         if (self.canvas is not None and
-            'WebAgg' in self.canvas.__class__.__name__):
+                'WebAgg' in self.canvas.__class__.__name__):
             from matplotlib.backends import backend_webagg
             return backend_webagg.ipython_inline_display(self)
 
@@ -395,8 +399,15 @@ def show(self, warn=True):
         :class:`~matplotlib.backend_bases.FigureManagerBase`, and
         will raise an AttributeError.
 
-        For non-GUI backends, this does nothing, in which case
-        a warning will be issued if *warn* is True (default).
+        Parameters
+        ----------
+        warm : bool
+            If ``True``, issue warning when called on a non-GUI backend
+
+        Notes
+        -----
+        For non-GUI backends, this does nothing, in which case a warning will
+        be issued if *warn* is ``True`` (default).
         """
         try:
             manager = getattr(self.canvas, 'manager')
@@ -428,7 +439,12 @@ def _get_dpi(self):
 
     def _set_dpi(self, dpi, forward=True):
         """
-        The forward kwarg is passed on to set_size_inches
+        Parameters
+        ----------
+        dpi : float
+
+        forward : bool
+            Passed on to `~.Figure.set_size_inches`
         """
         self._dpi = dpi
         self.dpi_scale_trans.clear().scale(dpi, dpi)
@@ -440,7 +456,7 @@ def _set_dpi(self, dpi, forward=True):
 
     def get_tight_layout(self):
         """
-        Return the Boolean flag, True to use :meth:`tight_layout` when drawing.
+        Return whether the figure uses :meth:`tight_layout` when drawing.
         """
         return self._tight
 
@@ -531,7 +547,9 @@ def contains(self, mouseevent):
         return inside, {}
 
     def get_window_extent(self, *args, **kwargs):
-        'get the figure bounding box in display space; kwargs are void'
+        ''''
+        Return figure bounding box in display space; arguments are ignored.
+        '''
         return self.bbox
 
     def suptitle(self, t, **kwargs):