diff --git a/lib/matplotlib/collections.py b/lib/matplotlib/collections.py
index 8a7c0e67a6a9..4e2aa1926bd9 100644
--- a/lib/matplotlib/collections.py
+++ b/lib/matplotlib/collections.py
@@ -1171,29 +1171,52 @@ def __init__(self, segments,     # Can be None.
                  **kwargs
                  ):
         """
-        *segments*
-            a sequence of (*line0*, *line1*, *line2*), where::
+        Parameters
+        ----------
+        segments :
+            A sequence of (*line0*, *line1*, *line2*), where::
 
                 linen = (x0, y0), (x1, y1), ... (xm, ym)
 
             or the equivalent numpy array with two columns. Each line
             can be a different length.
 
-        *colors*
-            must be a sequence of RGBA tuples (e.g., arbitrary color
+        colors : sequence, optional
+            A sequence of RGBA tuples (e.g., arbitrary color
             strings, etc, not allowed).
 
-        *antialiaseds*
-            must be a sequence of ones or zeros
+        antialiaseds : sequence, optional
+            A sequence of ones or zeros.
 
-        *linestyles* [ 'solid' | 'dashed' | 'dashdot' | 'dotted' ]
-            a string or dash tuple. The dash tuple is::
+        linestyles : string, tuple, optional
+            Either one of [ 'solid' | 'dashed' | 'dashdot' | 'dotted' ], or
+            a dash tuple. The dash tuple is::
 
-                (offset, onoffseq),
+                (offset, onoffseq)
 
-            where *onoffseq* is an even length tuple of on and off ink
+            where ``onoffseq`` is an even length tuple of on and off ink
             in points.
 
+        norm : Normalize, optional
+            `~.colors.Normalize` instance.
+
+        cmap : string or Colormap, optional
+            Colormap name or `~.colors.Colormap` instance.
+
+        pickradius : float, optional
+            The tolerance in points for mouse clicks picking a line.
+            Default is 5 pt.
+
+        zorder : int, optional
+           zorder of the LineCollection. Default is 2.
+
+        facecolors : optional
+           The facecolors of the LineCollection. Default is 'none'.
+           Setting to a value other than 'none' will lead to a filled
+           polygon being drawn between points on each line.
+
+        Notes
+        -----
         If *linewidths*, *colors*, or *antialiaseds* is None, they
         default to their rcParams setting, in sequence form.
 
@@ -1210,22 +1233,6 @@ def __init__(self, segments,     # Can be None.
         and this value will be added cumulatively to each successive
         segment, so as to produce a set of successively offset curves.
 
-        *norm*
-            None (optional for :class:`matplotlib.cm.ScalarMappable`)
-        *cmap*
-            None (optional for :class:`matplotlib.cm.ScalarMappable`)
-
-        *pickradius* is the tolerance for mouse clicks picking a line.
-        The default is 5 pt.
-
-        *zorder*
-           The zorder of the LineCollection.  Default is 2
-
-        *facecolors*
-           The facecolors of the LineCollection. Default is 'none'
-           Setting to a value other than 'none' will lead to a filled
-           polygon being drawn between points on each line.
-
         The use of :class:`~matplotlib.cm.ScalarMappable` is optional.
         If the :class:`~matplotlib.cm.ScalarMappable` array
         :attr:`~matplotlib.cm.ScalarMappable._A` is not None (i.e., a call to
@@ -1278,6 +1285,13 @@ def set_segments(self, segments):
     set_paths = set_segments
 
     def get_segments(self):
+        """
+        Returns
+        -------
+        segments : list
+            List of segments in the LineCollection. Each list item contains an
+            array of vertices.
+        """
         segments = []
 
         for path in self._paths:
@@ -1302,12 +1316,14 @@ def _add_offsets(self, segs):
 
     def set_color(self, c):
         """
-        Set the color(s) of the line collection.  *c* can be a
-        matplotlib color arg (all patches have same color), or a
-        sequence or rgba tuples; if it is a sequence the patches will
-        cycle through the sequence.
+        Set the color(s) of the LineCollection.
 
-        ACCEPTS: matplotlib color arg or sequence of rgba tuples
+        Parameters
+        ----------
+        c :
+            Matplotlib color argument (all patches have same color), or a
+            sequence or rgba tuples; if it is a sequence the patches will
+            cycle through the sequence.
         """
         self.set_edgecolor(c)
         self.stale = True