diff --git a/gl4/html/textureGatherOffsets.xhtml b/gl4/html/textureGatherOffsets.xhtml
index 83a18fa9..aa37b5db 100644
--- a/gl4/html/textureGatherOffsets.xhtml
+++ b/gl4/html/textureGatherOffsets.xhtml
@@ -78,7 +78,7 @@
             </tr>
             <tr>
               <td> </td>
-              <td>vec3 <var class="pdparam">P</var>, </td>
+              <td>vec2 <var class="pdparam">P</var>, </td>
             </tr>
             <tr>
               <td> </td>
@@ -227,9 +227,9 @@
         <p>
             <code class="function">textureGatherOffsets</code> operates identically to <a class="citerefentry" href="textureGatherOffset.xhtml"><span class="citerefentry"><span class="refentrytitle">textureGatherOffset</span></span></a>,
             except that <em class="parameter"><code>offsets</code></em> is used to determine the location of the four texels to sample. Each of the four texels is obtained
-            by applying the offset in <em class="parameter"><code>offsets</code></em> as a (u, v) coordinate offset to <em class="parameter"><code>P</code></em>, identifying the four-texel
+            by applying the corresponding offset in <em class="parameter"><code>offsets</code></em> as a (u, v) coordinate offset to <em class="parameter"><code>P</code></em>, identifying the four-texel
             <code class="constant">GL_LINEAR</code> footprint, and then selecting the texel
-            <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msub><mml:mi>i</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:msub><mml:mi>i</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math>
+            <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msub><mml:mi>i</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:msub><mml:mi>j</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math>
             of that footprint. The specified values in <em class="parameter"><code>offsets</code></em> must be set with constant integral expressions.
         </p>
       </div>
diff --git a/gl4/textureGatherOffsets.xml b/gl4/textureGatherOffsets.xml
index 352d826b..c9e591aa 100644
--- a/gl4/textureGatherOffsets.xml
+++ b/gl4/textureGatherOffsets.xml
@@ -36,7 +36,7 @@
             <funcprototype>
                 <funcdef>gvec4 <function>textureGatherOffsets</function></funcdef>
                 <paramdef>gsampler2DRect <parameter>sampler</parameter></paramdef>
-                <paramdef>vec3 <parameter>P</parameter></paramdef>
+                <paramdef>vec2 <parameter>P</parameter></paramdef>
                 <paramdef>ivec2 <parameter>offsets[4]</parameter></paramdef>
                 <paramdef>[int <parameter>comp]</parameter></paramdef>
             </funcprototype>
@@ -111,9 +111,9 @@
         <para>
             <function>textureGatherOffsets</function> operates identically to <citerefentry><refentrytitle>textureGatherOffset</refentrytitle></citerefentry>,
             except that <parameter>offsets</parameter> is used to determine the location of the four texels to sample. Each of the four texels is obtained
-            by applying the offset in <parameter>offsets</parameter> as a (u, v) coordinate offset to <parameter>P</parameter>, identifying the four-texel
+            by applying the corresponding offset in <parameter>offsets</parameter> as a (u, v) coordinate offset to <parameter>P</parameter>, identifying the four-texel
             <constant>GL_LINEAR</constant> footprint, and then selecting the texel
-            <inlineequation><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msub><mml:mi>i</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:msub><mml:mi>i</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math></inlineequation>
+            <inlineequation><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msub><mml:mi>i</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:msub><mml:mi>j</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math></inlineequation>
             of that footprint. The specified values in <parameter>offsets</parameter> must be set with constant integral expressions.
         </para>
     </refsect1>