diff --git a/doc/manual/command-ref/nix-channel.xml b/doc/manual/command-ref/nix-channel.xml
index 9acf44e52..ff4021a76 100644
--- a/doc/manual/command-ref/nix-channel.xml
+++ b/doc/manual/command-ref/nix-channel.xml
@@ -31,7 +31,7 @@
 
 <refsection><title>Description</title>
 
-<para>A Nix channel is mechanism that allows you to automatically stay
+<para>A Nix channel is a mechanism that allows you to automatically stay
 up-to-date with a set of pre-built Nix expressions.  A Nix channel is
 just a URL that points to a place containing both a set of Nix
 expressions and a pointer to a binary cache.  <phrase
@@ -165,8 +165,8 @@ following files:</para>
   <varlistentry><term><filename>nixexprs.tar.xz</filename></term>
 
     <listitem><para>A tarball containing Nix expressions and files
-    referenced by them (such as build scripts and patches). At
-    top-level, the tarball should contain a single directory. That
+    referenced by them (such as build scripts and patches). At the
+    top level, the tarball should contain a single directory. That
     directory must contain a file <filename>default.nix</filename>
     that serves as the channel’s “entry point”.</para></listitem>
 
@@ -175,7 +175,7 @@ following files:</para>
   <varlistentry><term><filename>binary-cache-url</filename></term>
 
     <listitem><para>A file containing the URL to a binary cache (such
-    as <uri>https://cache.nixos.org</uri>. Nix will automatically
+    as <uri>https://cache.nixos.org</uri>). Nix will automatically
     check this cache for pre-built binaries, if the user has
     sufficient rights to add binary caches. For instance, in a
     multi-user Nix setup, the binary caches provided by the channels