diff --git a/doc/src/sgml/bloom.sgml b/doc/src/sgml/bloom.sgml
index 6eeaddee09..fa59d0a5da 100644
--- a/doc/src/sgml/bloom.sgml
+++ b/doc/src/sgml/bloom.sgml
@@ -65,8 +65,8 @@
      <para>
       Number of bits generated for each index column. Each parameter's name
       refers to the number of the index column that it controls.  The default
-      is <literal>2</literal> bits and maximum is <literal>4095</literal>.  Parameters for
-      index columns not actually used are ignored.
+      is <literal>2</literal> bits and the maximum is <literal>4095</literal>.
+      Parameters for index columns not actually used are ignored.
      </para>
     </listitem>
    </varlistentry>
diff --git a/doc/src/sgml/ref/alter_table.sgml b/doc/src/sgml/ref/alter_table.sgml
index 81e106033f..e486196477 100644
--- a/doc/src/sgml/ref/alter_table.sgml
+++ b/doc/src/sgml/ref/alter_table.sgml
@@ -222,7 +222,7 @@ WITH ( MODULUS <replaceable class="parameter">numeric_literal</replaceable>, REM
 
      <para>
       <literal>SET NOT NULL</literal> may only be applied to a column
-      providing none of the records in the table contain a
+      provided none of the records in the table contain a
       <literal>NULL</literal> value for the column.  Ordinarily this is
       checked during the <literal>ALTER TABLE</literal> by scanning the
       entire table; however, if a valid <literal>CHECK</literal> constraint is