diff --git a/Doc/lib/libstdtypes.tex b/Doc/lib/libstdtypes.tex
index ad3120e..0b33126 100644
--- a/Doc/lib/libstdtypes.tex
+++ b/Doc/lib/libstdtypes.tex
@@ -327,7 +327,7 @@
 or without enclosing parentheses, but an empty tuple must have the
 enclosing parentheses, e.g., \code{a, b, c} or \code{()}.  A single
 item tuple must have a trailing comma, e.g., \code{(d,)}.  Buffers are
-not directly support by Python syntax, but can created by calling the
+not directly supported by Python syntax, but can be created by calling the
 builtin function \function{buffer()}.\bifuncindex{buffer}  XRanges
 objects are similar to buffers in that there is no specific syntax to
 create them, but they are created using the \function{xrange()}
diff --git a/Doc/lib/libstring.tex b/Doc/lib/libstring.tex
index 82b96a1..8905aa6 100644
--- a/Doc/lib/libstring.tex
+++ b/Doc/lib/libstring.tex
@@ -91,12 +91,11 @@
   is 0, a default base is chosen depending on the leading characters
   of the string (after stripping the sign): \samp{0x} or \samp{0X}
   means 16, \samp{0} means 8, anything else means 10.  If \var{base}
-  is 16, a leading \samp{0x} or \samp{0X} is always accepted.  Note
-  that when invoked without \var{base} or with \var{base} set to 10,
-  this behaves identical to the built-in function \function{int()}
-  when passed a string.  (Also note: for a more flexible
-  interpretation of numeric literals, use the built-in function
-  \function{eval()}\bifuncindex{eval}.)
+  is 16, a leading \samp{0x} or \samp{0X} is always accepted, though
+  not required.  This behaves identically to the built-in function
+  \function{int()} when passed a string.  (Also note: for a more
+  flexible interpretation of numeric literals, use the built-in
+  function \function{eval()}\bifuncindex{eval}.)
 \end{funcdesc}
 
 \begin{funcdesc}{atol}{s\optional{, base}}
diff --git a/Doc/lib/libundoc.tex b/Doc/lib/libundoc.tex
index c66fa64..85152c4 100644
--- a/Doc/lib/libundoc.tex
+++ b/Doc/lib/libundoc.tex
@@ -166,8 +166,8 @@
 \end{description}
 
 
-The following modules are obsolete, but are likely re-surface as tools
-or scripts.
+The following modules are obsolete, but are likely to re-surface as
+tools or scripts:
 
 \begin{description}
 \item[\module{find}]