<html xmlns:o="urn:schemas-microsoft-com:office:office"
xmlns:w="urn:schemas-microsoft-com:office:word"
xmlns:m="http://schemas.microsoft.com/office/2004/12/omml"
xmlns="http://www.w3.org/TR/REC-html40">

<head>
<meta http-equiv=Content-Type content="text/html; charset=unicode">
<meta name=ProgId content=Word.Document>
<meta name=Generator content="Microsoft Word 12">
<meta name=Originator content="Microsoft Word 12">
<link rel=File-List
href="Pythagorean Proof new_files/filelist.xml">
<title>Pythagorean Theorem Proof via Parallelogram Construction</title>
<!--[if gte mso 9]><xml>
 <o:DocumentProperties>
  <o:Author>waw</o:Author>
  <o:LastAuthor>waw</o:LastAuthor>
  <o:Revision>2</o:Revision>
  <o:TotalTime>0</o:TotalTime>
  <o:Created>2014-04-29T21:56:00Z</o:Created>
  <o:LastSaved>2014-04-29T21:56:00Z</o:LastSaved>
  <o:Pages>1</o:Pages>
  <o:Words>17</o:Words>
  <o:Characters>99</o:Characters>
  <o:Lines>1</o:Lines>
  <o:Paragraphs>1</o:Paragraphs>
  <o:CharactersWithSpaces>115</o:CharactersWithSpaces>
  <o:Version>12.00</o:Version>
 </o:DocumentProperties>
</xml><![endif]-->
<link rel=themeData
href="Pythagorean Proof new_files/themedata.thmx">
<link rel=colorSchemeMapping
href="Pythagorean Proof new_files/colorschememapping.xml">
<!--[if gte mso 9]><xml>
 <w:WordDocument>
  <w:Zoom>0</w:Zoom>
  <w:TrackMoves>false</w:TrackMoves>
  <w:TrackFormatting/>
  <w:ValidateAgainstSchemas/>
  <w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
  <w:IgnoreMixedContent>false</w:IgnoreMixedContent>
  <w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
  <w:DoNotPromoteQF/>
  <w:LidThemeOther>EN-US</w:LidThemeOther>
  <w:LidThemeAsian>X-NONE</w:LidThemeAsian>
  <w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
  <w:Compatibility>
   <w:BreakWrappedTables/>
   <w:SnapToGridInCell/>
   <w:WrapTextWithPunct/>
   <w:UseAsianBreakRules/>
   <w:DontGrowAutofit/>
   <w:SplitPgBreakAndParaMark/>
   <w:DontVertAlignCellWithSp/>
   <w:DontBreakConstrainedForcedTables/>
   <w:DontVertAlignInTxbx/>
   <w:Word11KerningPairs/>
   <w:CachedColBalance/>
  </w:Compatibility>
  <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel>
  <m:mathPr>
   <m:mathFont m:val="Cambria Math"/>
   <m:brkBin m:val="before"/>
   <m:brkBinSub m:val="&#45;-"/>
   <m:smallFrac m:val="off"/>
   <m:dispDef/>
   <m:lMargin m:val="0"/>
   <m:rMargin m:val="0"/>
   <m:defJc m:val="centerGroup"/>
   <m:wrapIndent m:val="1440"/>
   <m:intLim m:val="subSup"/>
   <m:naryLim m:val="undOvr"/>
  </m:mathPr></w:WordDocument>
</xml><![endif]--><!--[if gte mso 9]><xml>
 <w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
  DefSemiHidden="true" DefQFormat="false" DefPriority="99"
  LatentStyleCount="267">
  <w:LsdException Locked="false" Priority="0" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Normal"/>
  <w:LsdException Locked="false" Priority="9" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>
  <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 2"/>
  <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 3"/>
  <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 4"/>
  <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 5"/>
  <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 6"/>
  <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 7"/>
  <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 8"/>
  <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 9"/>
  <w:LsdException Locked="false" Priority="39" Name="toc 1"/>
  <w:LsdException Locked="false" Priority="39" Name="toc 2"/>
  <w:LsdException Locked="false" Priority="39" Name="toc 3"/>
  <w:LsdException Locked="false" Priority="39" Name="toc 4"/>
  <w:LsdException Locked="false" Priority="39" Name="toc 5"/>
  <w:LsdException Locked="false" Priority="39" Name="toc 6"/>
  <w:LsdException Locked="false" Priority="39" Name="toc 7"/>
  <w:LsdException Locked="false" Priority="39" Name="toc 8"/>
  <w:LsdException Locked="false" Priority="39" Name="toc 9"/>
  <w:LsdException Locked="false" Priority="35" QFormat="true" Name="caption"/>
  <w:LsdException Locked="false" Priority="10" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Title"/>
  <w:LsdException Locked="false" Priority="1" Name="Default Paragraph Font"/>
  <w:LsdException Locked="false" Priority="11" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Subtitle"/>
  <w:LsdException Locked="false" Priority="22" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Strong"/>
  <w:LsdException Locked="false" Priority="20" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Emphasis"/>
  <w:LsdException Locked="false" Priority="59" SemiHidden="false"
   UnhideWhenUsed="false" Name="Table Grid"/>
  <w:LsdException Locked="false" UnhideWhenUsed="false" Name="Placeholder Text"/>
  <w:LsdException Locked="false" Priority="1" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="No Spacing"/>
  <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading"/>
  <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List"/>
  <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid"/>
  <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1"/>
  <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2"/>
  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1"/>
  <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2"/>
  <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1"/>
  <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2"/>
  <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3"/>
  <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List"/>
  <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading"/>
  <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List"/>
  <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid"/>
  <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 1"/>
  <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 1"/>
  <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 1"/>
  <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 1"/>
  <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 1"/>
  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 1"/>
  <w:LsdException Locked="false" UnhideWhenUsed="false" Name="Revision"/>
  <w:LsdException Locked="false" Priority="34" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="List Paragraph"/>
  <w:LsdException Locked="false" Priority="29" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Quote"/>
  <w:LsdException Locked="false" Priority="30" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Intense Quote"/>
  <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 1"/>
  <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 1"/>
  <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 1"/>
  <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 1"/>
  <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 1"/>
  <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 1"/>
  <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 1"/>
  <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 1"/>
  <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 2"/>
  <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 2"/>
  <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 2"/>
  <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 2"/>
  <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 2"/>
  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 2"/>
  <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 2"/>
  <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 2"/>
  <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 2"/>
  <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 2"/>
  <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 2"/>
  <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 2"/>
  <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 2"/>
  <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 2"/>
  <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 3"/>
  <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 3"/>
  <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 3"/>
  <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 3"/>
  <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 3"/>
  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 3"/>
  <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 3"/>
  <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 3"/>
  <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 3"/>
  <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 3"/>
  <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 3"/>
  <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 3"/>
  <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 3"/>
  <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 3"/>
  <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 4"/>
  <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 4"/>
  <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 4"/>
  <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 4"/>
  <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 4"/>
  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 4"/>
  <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 4"/>
  <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 4"/>
  <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 4"/>
  <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 4"/>
  <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 4"/>
  <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 4"/>
  <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 4"/>
  <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 4"/>
  <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 5"/>
  <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 5"/>
  <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 5"/>
  <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 5"/>
  <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 5"/>
  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 5"/>
  <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 5"/>
  <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 5"/>
  <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 5"/>
  <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 5"/>
  <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 5"/>
  <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 5"/>
  <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 5"/>
  <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 5"/>
  <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 6"/>
  <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 6"/>
  <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 6"/>
  <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 6"/>
  <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 6"/>
  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 6"/>
  <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 6"/>
  <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 6"/>
  <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 6"/>
  <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 6"/>
  <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 6"/>
  <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 6"/>
  <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 6"/>
  <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/>
  <w:LsdException Locked="false" Priority="19" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/>
  <w:LsdException Locked="false" Priority="21" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"/>
  <w:LsdException Locked="false" Priority="31" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/>
  <w:LsdException Locked="false" Priority="32" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/>
  <w:LsdException Locked="false" Priority="33" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Book Title"/>
  <w:LsdException Locked="false" Priority="37" Name="Bibliography"/>
  <w:LsdException Locked="false" Priority="39" QFormat="true" Name="TOC Heading"/>
 </w:LatentStyles>
</xml><![endif]-->
<style>
<!--
 /* Font Definitions */
 @font-face
	{font-family:Wingdings;
	panose-1:5 0 0 0 0 0 0 0 0 0;
	mso-font-charset:2;
	mso-generic-font-family:auto;
	mso-font-pitch:variable;
	mso-font-signature:0 268435456 0 0 -2147483648 0;}
@font-face
	{font-family:"Cambria Math";
	panose-1:2 4 5 3 5 4 6 3 2 4;
	mso-font-charset:0;
	mso-generic-font-family:roman;
	mso-font-pitch:variable;
	mso-font-signature:-1610611985 1107304683 0 0 159 0;}
 /* Style Definitions */
 p.MsoNormal, li.MsoNormal, div.MsoNormal
	{mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-parent:"";
	margin:0in;
	margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	font-size:12.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";}
h1
	{mso-style-priority:9;
	mso-style-unhide:no;
	mso-style-qformat:yes;
	mso-style-link:"Heading 1 Char";
	mso-margin-top-alt:auto;
	margin-right:0in;
	mso-margin-bottom-alt:auto;
	margin-left:0in;
	mso-pagination:widow-orphan;
	mso-outline-level:1;
	font-size:24.0pt;
	font-family:"Times New Roman","serif";
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:minor-fareast;}
a:link, span.MsoHyperlink
	{mso-style-noshow:yes;
	mso-style-priority:99;
	color:blue;
	text-decoration:underline;
	text-underline:single;}
a:visited, span.MsoHyperlinkFollowed
	{mso-style-noshow:yes;
	mso-style-priority:99;
	color:purple;
	text-decoration:underline;
	text-underline:single;}
span.Heading1Char
	{mso-style-name:"Heading 1 Char";
	mso-style-priority:9;
	mso-style-unhide:no;
	mso-style-locked:yes;
	mso-style-link:"Heading 1";
	mso-ansi-font-size:14.0pt;
	mso-bidi-font-size:14.0pt;
	font-family:"Cambria","serif";
	mso-ascii-font-family:Cambria;
	mso-ascii-theme-font:major-latin;
	mso-fareast-font-family:"Times New Roman";
	mso-fareast-theme-font:major-fareast;
	mso-hansi-font-family:Cambria;
	mso-hansi-theme-font:major-latin;
	mso-bidi-font-family:"Times New Roman";
	mso-bidi-theme-font:major-bidi;
	color:#365F91;
	mso-themecolor:accent1;
	mso-themeshade:191;
	font-weight:bold;}
.MsoChpDefault
	{mso-style-type:export-only;
	mso-default-props:yes;
	font-size:10.0pt;
	mso-ansi-font-size:10.0pt;
	mso-bidi-font-size:10.0pt;}
@page WordSection1
	{size:8.5in 11.0in;
	margin:1.0in 1.0in 1.0in 1.0in;
	mso-header-margin:.5in;
	mso-footer-margin:.5in;
	mso-paper-source:0;}
div.WordSection1
	{page:WordSection1;}
 /* List Definitions */
 @list l0
	{mso-list-id:1333408429;
	mso-list-template-ids:-765445830;}
@list l0:level1
	{mso-level-number-format:bullet;
	mso-level-text:;
	mso-level-tab-stop:.5in;
	mso-level-number-position:left;
	text-indent:-.25in;
	mso-ansi-font-size:10.0pt;
	font-family:Symbol;}
ol
	{margin-bottom:0in;}
ul
	{margin-bottom:0in;}
-->
</style>
<!--[if gte mso 10]>
<style>
 /* Style Definitions */
 table.MsoNormalTable
	{mso-style-name:"Table Normal";
	mso-tstyle-rowband-size:0;
	mso-tstyle-colband-size:0;
	mso-style-noshow:yes;
	mso-style-priority:99;
	mso-style-qformat:yes;
	mso-style-parent:"";
	mso-padding-alt:0in 5.4pt 0in 5.4pt;
	mso-para-margin:0in;
	mso-para-margin-bottom:.0001pt;
	mso-pagination:widow-orphan;
	font-size:10.0pt;
	font-family:"Times New Roman","serif";}
</style>
<![endif]-->
<meta name=Author content=waw>

<script language="JavaScript"  src="Pythagorean Proof new_files/frameset.js" type="text/javascript">
</script>

<script language="JavaScript"  type="text/javascript">

function FileEntry (pageIndex, pageID, pageName, priImage, secImage) 
{
	this.PageIndex = pageIndex;
	this.PageID	  = pageID;
	this.PageName = pageName;
	this.PriImage = priImage;
	this.SecImage = secImage;
}

var viewMgr = null;

var g_FileList = new  Array(
 new FileEntry (1, 0, "Page-1", "xaml_1.htm", "png_1.htm")

);

var g_CurPageIndex = 0;
var g_ZoomLoaded = false;
var g_WidgetsLoaded = false;
var g_FileProtocol = "file://";

var g_HLMenuEntry = "menuEntry";
var g_HLMenuEntryDiv = "menuEntryDiv";

var g_LoadingWidgets = false;

var isSVG = g_FileList[g_CurPageIndex].PriImage.indexOf("svg") >= 0;
var isVML = g_FileList[g_CurPageIndex].PriImage.indexOf("vml") >= 0;
var isXAML = g_FileList[g_CurPageIndex].PriImage.indexOf("xaml") >= 0;

function CViewMgr(convertedImgID, highlightDivID)
{
	this.onResize = null;
	this.ApplyZoom = null;
	this.ChangingView = false;

	this.put_Location = ViewMgrDefaultFind;
	this.Zoom = ViewMgrDefaultResize;
	this.PostZoomProcessing = null;
	this.setView = null;
	this.PostSetViewProcessing = null;
	this.viewChanged = null;

	this.SupportsDetails = false;
	this.SupportsSearch = false;

	this.visBBoxLeft = 0.0;
	this.visBBoxRight = 0.0;
	this.visBBoxBottom = 0.0;
	this.visBBoxTop = 0.0;

	this.highlightDiv = null;
	this.stepWidth = 10;

	this.id = convertedImgID;
	this.zoomFactor = -1;
	this.zoomLast = -1;
	this.origWH = 1;
	this.origWidth = 100;	
	this.aspectRatio = 1;

	this.docDrawing = null;
	var docDrawing = frmDrawing.document;
	if(docDrawing)
	{
		this.docDrawing = docDrawing;
		var docEl = docDrawing.getElementById(this.id);
		if (!docEl)
			docEl = docDrawing.childNodes[0];
		
		this.s = docEl.style;
		this.origWidth = this.s.pixelWidth;
		this.origWH = this.s.pixelWidth / this.s.pixelHeight;
		
		this.highlightDiv = docDrawing.getElementById(highlightDivID);
	}

	this.loadPage = DefPageLoad;
	this.getPNZ	= null;
}

function DefPageLoad (pageIndex)
{
	if (pageIndex >= 0)
	{
		var curPath = frmDrawing.location.href;
		var fileDelim = curPath.lastIndexOf ('/');
        if (fileDelim == -1)
            fileDelim = curPath.lastIndexOf ('\\');
		var newPath = curPath.substring (0, fileDelim + 1);
		newPath += g_FileList[pageIndex].PriImage;
		frmDrawing.location.href = newPath;

		SetPNZDisplay (pageIndex);
	}
}

function CurPageUpdate (pageIndex)
{
	if (pageIndex >= 0)
	{
		g_CurPageIndex = pageIndex;

		SetCurPageInGoto (pageIndex);

		var divDetails = frmToolbar.document.getElementById("divDetails");
		if (divDetails)
		{
			var displayStatus = "block";
			if (!viewMgr || !viewMgr.SupportsDetails)
			{
				displayStatus = "none";
			}

			divDetails.style.display = displayStatus;
		}

		var divSearch = frmToolbar.document.getElementById("divSearch");
		if (divSearch)
		{
			var displayStatus = "block";
			if (!viewMgr || !viewMgr.SupportsSearch)
			{
				displayStatus = "none";
			}

			divSearch.style.display = displayStatus;
		}

		SetPNZDisplay (pageIndex);

		LoadZoom ();
	}
}

function FramePageLoaded ()
{
	if (isUpLevel && viewMgr == null)
	{
		var curPath = frmDrawing.location.href;
		var fileDelim = curPath.lastIndexOf ('/');
		if (fileDelim >= 0)
		{
			var fileName = curPath.substring (fileDelim + 1, curPath.length);
			var pageIndex = PageIndexFromFileName (fileName);
			SetCurPageInGoto (pageIndex);
			SetPNZDisplay (pageIndex);
		}
	}
}

function LoadZoom ()
{
	var zoomWidget = frmToolbar.frames["ifrmPNZ"];
	if (zoomWidget)
	{
		if (g_ZoomLoaded)
		{
			zoomWidget.findContent();
			PageLoadedDoCallback ();
		}
		else
		{
			window.setTimeout("LoadZoom()", 500);
		}
	}
	else
	{
		PageLoadedDoCallback ();
	}
}

function SetCurPageInGoto (pageIndex)
{
	var gotoPageSelect = frmToolbar.document.getElementById("Select1");
	if (gotoPageSelect != null)
	{
		gotoPageSelect.value = pageIndex;
	}
}

function SetPNZDisplay (pageIndex)
{
	var divPNZ = frmToolbar.document.getElementById("divPNZ");
	if (divPNZ)
	{
		var displayStatus = "block";
		if (g_FileList[pageIndex].PageID < 0)
		{
			displayStatus = "none";
		}

		divPNZ.style.display = displayStatus;
	}
}

function ViewMgrDefaultFind()
{
	return;
}

function ViewMgrDefaultResize(size)
{
	return;
}



g_callBackFunctionArray = new Array();
function PageLoadedDoCallback()
{
	if (g_WidgetsLoaded)	
	{
		for( var i=0; i < g_callBackFunctionArray.length; i++ )
		{
			g_callBackFunctionArray[i]();
		}
		g_callBackFunctionArray = new Array();
	}
	else
	{
		window.setTimeout("PageLoadedDoCallback()", 500);
	}
}


function ParseParams (strRawParams)
{
	if ( strRawParams != null && strRawParams.length > 0 )
	{
		strRawParams = strRawParams.substring(1);

		var arrayParamTokens = strRawParams.split('&');
		for (var count = 0; count < arrayParamTokens.length; count++)
		{
			arrayParamTokens[count] = unescape(arrayParamTokens[count]);
			this[count] = arrayParamTokens[count].substring(0, arrayParamTokens[count].indexOf('='));
			this[this[count]] = arrayParamTokens[count].substring(arrayParamTokens[count].indexOf('=') + 1);
		}
	}
	else
	{
		this[0] = null;
	}
	return this;
}

var gParams = ParseParams (location.search);

var g_PageParamValue = gParams['page'];
if (g_PageParamValue != null && 
	g_PageParamValue.length > 0)
{
	var pageIndex = PageIndexFromName (g_PageParamValue);
	if (pageIndex > 0 && pageIndex < g_FileList.length)
	{
		g_CurPageIndex = pageIndex;
	}
}
else
{
	g_PageParamValue = null;
}

var g_FirstPageToLoad = g_PageParamValue;

var g_ZoomParamValue = gParams['zoom'];
if (g_ZoomParamValue != null && g_ZoomParamValue.length > 0)
{
	g_ZoomParamValue = 1.0 * g_ZoomParamValue;
	if (g_ZoomParamValue >= 10 && g_ZoomParamValue <= 500)
	{
		g_callBackFunctionArray[g_callBackFunctionArray.length] = function () { if (viewMgr && viewMgr.Zoom) { viewMgr.Zoom(g_ZoomParamValue); } };
	}
}

var g_ShapeParamValue = gParams['shape'];
if (g_ShapeParamValue != null && g_ShapeParamValue.length > 0)
{
	if (g_PageParamValue != null && g_PageParamValue.length > 0)
	{
		g_callBackFunctionArray[g_callBackFunctionArray.length] = function () { var shapeNode = FindShapeXMLByName (g_PageParamValue, g_ShapeParamValue); if (shapeNode) { frmToolbar.TreeSelect (g_FileList[g_CurPageIndex].PageID, shapeNode.attributes.getNamedItem ("ID").text); } };
	}
	else
	{
		g_ShapeParamValue = null;
	}
}

var g_SearchParamValue = gParams['search'];
if (g_SearchParamValue != null && g_SearchParamValue.length > 0)
{
	g_callBackFunctionArray[g_callBackFunctionArray.length] = function () { if (frmToolbar.theForm) { frmToolbar.theForm.findString.value = g_SearchParamValue; } };
	g_callBackFunctionArray[g_callBackFunctionArray.length] = function () { var goButton = frmToolbar.document.getElementById('GoButton'); if(goButton) { goButton.click(); } };
}


var strHLTooltipText = "Click to follow hyperlink.";
var strPropsTooltipText = "Ctrl + Click to view details.";

var strFocusHLTooltipText = "Enter to follow hyperlink.";
var strFocusPropsTooltipText = "Ctrl + Enter to view details.";


function UpdateTooltip (element, pageID, shapeID)
{
	if (isUpLevel)
	{
		var strHL, strProps;
	
		if(frmDrawing.event.type == "focus")
		{
			strHL = strFocusHLTooltipText;
			strProps = strFocusPropsTooltipText;
		}
		else
		{
			strHL = strHLTooltipText;
			strProps = strPropsTooltipText;
		}

		var strTooltip = "";
		if (element.origTitle)
		{
			strTooltip = element.origTitle.toString();
		}
			
		var shapeNode = FindShapeXML (pageID, shapeID);

		if( shapeNode != null )
		{
			var propColl = SelectNodes(shapeNode, "Prop");
			if (propColl != null && propColl.length > 0)
			{
				if (strTooltip.length > 0)
				{
					strTooltip += "\n";
				} 
				strTooltip += strProps;
			}
		}

		var hlObj = GetHLAction (shapeNode, pageID, shapeID);
		if (hlObj != null && (hlObj.DoFunction.length > 0 || hlObj.Hyperlink.length > 0))
		{
			if (strTooltip.length > 0)
			{
				strTooltip += "\n";
			}	
			strTooltip += strHL;
		}

		element.title = strTooltip;
		if (element.alt != null)
		{
			element.alt = strTooltip;
		}
	}
}


function GetHLAction (shapeNode, pageID, shapeID)
{
	var hlObj = new HLObj ("", "", "", false);

	if (shapeNode != null)
	{
		try
		{
			var hlColl = SelectNodes(shapeNode, "Scratch/B/SolutionXML/HLURL:Hyperlinks/HLURL:Hyperlink");
		}
		catch(err)
		{
			var hlColl = [];
		}

		if (hlColl.length > 1)
		{
			if(window.frmDrawing.event)
			{
				hlObj.DoFunction = "showMenu(" + pageID + ", " + shapeID + ");"
			}
			else // XAML
			{
				// Use default hyperlink to set the action
				var fFoundDefault = false;
				for (var count = 0; count < hlColl.length; ++count)
				{
					var hlDefault = SelectSingleNode(hlColl[count], "HLURL:Default/text()");
					if (hlDefault != null && hlDefault.nodeValue.length > 0 &&
						hlDefault.nodeValue == "1" /*Indicates that this is the default hyperlink <HLURL:Default>1</HLURL:Default>*/)
					{
						hlObj = CreateHLObj(hlColl[count]);
						fFoundDefault = true;
						break;
					}
				}
				
				if (!fFoundDefault)
					hlObj = CreateHLObj(hlColl[0]);
			}
		}
		else if (hlColl.length == 1)
		{
			hlObj = CreateHLObj (hlColl[0]);
		}
	}

	return hlObj;
}

function HLObj (strHyperlink, strDoFunction, strDesc, newWindow) 
{
	this.Hyperlink = strHyperlink;
	this.DoFunction = strDoFunction;
	this.Desc = strDesc;
	this.NewWindow = newWindow;
}

function clickMenu()
{
	var e = window.frmDrawing.event;
	var menu = frmDrawing.document.getElementById("menu1")
	
	if (menu != null && menu.style.display != "none")
	{
		menu.style.display="none";

		if (e && e.srcElement && e.srcElement.doFunction != null)
		{
			eval(e.srcElement.doFunction);
		}
	}
}

function toggleMenuDiv(el, highlight) 
{
	var divEl = el;
	var aEl = null;

	var ID = el.id.substring (g_HLMenuEntryDiv.length, el.id.length) * 1.0;
	aEl = frmDrawing.document.getElementById(g_HLMenuEntry + ID);

	toggleMenu(divEl, aEl, highlight);
}

function toggleMenuLink(el, highlight) 
{
	var divEl = null;
	var aEl = el;

	var ID = el.id.substring (g_HLMenuEntry.length, el.id.length) * 1.0;
	divEl = frmDrawing.document.getElementById(g_HLMenuEntryDiv + ID);

	toggleMenu(divEl, aEl, highlight);
}

function toggleMenu(divEl, aEl, highlight)
{
	if (highlight)
	{
	  divEl.className="highlightItem";
	  aEl.className="highlightItem";
	} 
	else 
	{
	  divEl.className="menuItem";
	  aEl.className="menuItem";
	}
}

function showMenu(pageID, shapeID)
{
	var shapeXML = FindShapeXML (pageID, shapeID);
	if (shapeXML != null)
	{
		CreateHLMenu (shapeXML);
		var menu = frmDrawing.document.getElementById("menu1");
		if (menu != null)
		{
			menu.style.visibility = "hidden";
			menu.style.display = "inline";

            var clientWidth = frmDrawing.document.body.clientWidth;
		    var clientHeight = frmDrawing.document.body.clientHeight;

		    var menuWidth = menu.clientWidth;
		    var menuHeight = menu.clientHeight;
		    
		    var doc = frmDrawing.document;
		    
			var e = window.frmDrawing.event;
			if(e)
			{
			    var elem = e.srcElement;

			    var menuLeft = e.x;
			    var menuTop = e.y;
    			
			    var img = doc.getElementById("ConvertedImage");
    			
			    if( (menuLeft + doc.body.scrollLeft < elem.offsetLeft) || (menuLeft + doc.body.scrollLeft > elem.offsetLeft + elem.offsetWidth + img.offsetLeft) )
			    {
				    menuLeft = elem.offsetLeft + img.offsetLeft + elem.offsetWidth/2;
			    }
    			
			    if( (menuTop + doc.body.scrollTop < elem.offsetTop) || (menuTop + doc.body.scrollTop > elem.offsetTop + elem.offsetHeight + img.offsetTop) )
			    {
				    menuTop = elem.offsetTop + img.offsetTop + elem.offsetHeight/2;
			    }

			    var scrollBarSize = 20;
			    if (menuLeft + menuWidth > clientWidth - scrollBarSize)
			    {
				    menuLeft = clientWidth - menuWidth - scrollBarSize;
			    }

			    if (menuTop + menuHeight > clientHeight - scrollBarSize)
			    {
				    menuTop = clientHeight - menuHeight - scrollBarSize;
			    }

				menu.style.posLeft = menuLeft + frmDrawing.document.body.scrollLeft;
				menu.style.posTop = menuTop + frmDrawing.document.body.scrollTop;
				menu.style.visibility = "visible";

				var firstLink = frmDrawing.document.getElementById(g_HLMenuEntry + "0");
				firstLink.focus ();
				
				if (e.keyCode == 13)
				{
					toggleMenuLink(firstLink, true);
				}

				e.cancelBubble = true;
			}
		}
	}
}

function MenuKeyDown ()
{
	var e = window.frmDrawing.event;
	var el = e.srcElement;

	if (e.keyCode == 27)	// 27 == ESC
	{
		clickMenu();
		e.cancelBubble = true;
		return;
	}

	var curSelID = el.id.substring (g_HLMenuEntry.length, el.id.length) * 1.0;
	var newSelID = -1;

	if (e.keyCode == 40)	// 40 == down arrow
	{
		newSelID = curSelID + 1;
	}
	else if (e.keyCode == 38) // 38 == up arrow
	{
		newSelID = curSelID - 1;
	}

	var newSelEntry = frmDrawing.document.getElementById(g_HLMenuEntry + newSelID);

	if (newSelEntry)
	{
		newSelEntry.focus();

		var curSelEntry = frmDrawing.document.getElementById(g_HLMenuEntry + curSelID);
		toggleMenuLink (curSelEntry, false);
		toggleMenuLink (newSelEntry, true);
	}

	e.cancelBubble = true;
}

function CreateHLMenu (shapeNode)
{
	var strHLMenuHTML = "";

	if (shapeNode != null)
	{
		var hlColl = SelectNodes(shapeNode, "Scratch/B/SolutionXML/HLURL:Hyperlinks/HLURL:Hyperlink");

		strHLMenuHTML = "<div class='innerhlMenu'>";

		var hlCount = hlColl.length;
		for (var count = 0; count < hlCount; count++)
		{
			var hlObj = CreateHLObj (hlColl[count]);
			if (hlObj != null)
			{
				if (hlObj.Desc.length > 0)
				{
					strHLMenuHTML += "<div id='" + (g_HLMenuEntryDiv + count) + "' class='menuItem' onmouseover='toggleMenuDiv(this, true)' onmouseout='toggleMenuDiv(this, false)' onclick='" + (g_HLMenuEntry + count) + ".click()'>";
					strHLMenuHTML += "<a href=";

					if (hlObj.DoFunction.length > 0)
					{
						strHLMenuHTML += "'javascript:" + hlObj.DoFunction + "'";
					}
					else
					{
						var targetVal = "_top";
						if (hlObj.NewWindow)
						{
							targetVal = "_blank";
						}
						strHLMenuHTML += "'" + hlObj.Hyperlink + "' target='" + targetVal + "'";
					}

					strHLMenuHTML += " class='menuItem' id='" + (g_HLMenuEntry + count) + "' onkeydown='parent.MenuKeyDown();' onmouseover='toggleMenuLink(this, true)' onmouseout='toggleMenuLink(this, false)'>";
					strHLMenuHTML += hlObj.Desc + "</a></div>";
				}
			}
		}
		
		strHLMenuHTML += "</div>";
	}

	var menu = frmDrawing.document.getElementById("menu1")
	menu.innerHTML = strHLMenuHTML;
}

function CreateHLObj (hlNode)
{
	var strAddress = "";
	var hlObj = new HLObj ("", "", "", false);

	if (hlNode != null)
	{
		var hlAddress = SelectSingleNode(hlNode,"HLURL:Address/text()");
		if (hlAddress != null && hlAddress.nodeValue.length > 0)
		{
			// Get AbsoluteURL
			var absoluteURL = SelectSingleNode(hlNode,"HLURL:AbsoluteURL/text()");
			var strAbsURL = "";
			if (absoluteURL != null && absoluteURL.nodeValue.length > 0)
				strAbsURL = absoluteURL.nodeValue;
			
			// Get Address
			var strAddr = hlAddress.nodeValue;

			// Use relative address if AbsoluteURL is missing
			if (strAbsURL == "")
			{
				strAddress = strAddr;
			}
			else if (strAbsURL.indexOf (g_FileProtocol) == 0)
			{
				var strAbsPath = strAbsURL.substring (g_FileProtocol.length, strAbsURL.length);
				strAbsPath.toLowerCase ();
				strAddr.toLowerCase ();
				if (strAbsPath == strAddr)
				{
					strAddress = strAbsPath;
				}
				else
				{
					strAddress = strAddr;

					var hlSubAddress = SelectSingleNode(hlNode,"HLURL:SubAddress/text()");
					if (hlSubAddress != null && hlSubAddress.nodeValue.length > 0)
					{
						strAddress += '#';
						strAddress += hlSubAddress.nodeValue;
					}

					var hlExtraInfo = SelectSingleNode(hlNode,"HLURL:ExtraInfo/text()");
					if (hlExtraInfo != null && hlExtraInfo.nodeValue.length > 0)
					{
						strAddress += '?';
						strAddress += hlExtraInfo.nodeValue;
					}
				}
			}
			else
			{
				strAddress = strAbsURL;
			}		

			strAddress = HTMLEscape (strAddress);
			hlObj.Hyperlink += strAddress;
		}
		else
		{
			hlAddress = SelectSingleNode(hlNode,"HLURL:SubAddress/text()");
			if (hlAddress != null && hlAddress.nodeValue.length > 0)
			{
				strAddress = hlAddress.nodeValue;

				var pageShapeSep = strAddress.lastIndexOf ('/');
				if (pageShapeSep > 0)
				{
					if (PageIndexFromName (strAddress) < 0)
					{
						strAddress = unescape (strAddress);
						if (PageIndexFromName (strAddress) < 0)
						{
							strAddress = strAddress.substring (0, strAddress.lastIndexOf ('/'));
						}
					}
				}

				var pageIndex = PageIndexFromName (strAddress);

				hlObj.DoFunction = "GoToPage (" + pageIndex + ");";
				strAddress = HTMLEscape (strAddress);
				hlObj.Desc = strAddress;
			}
		}

		hlDesc = SelectSingleNode(hlNode,"HLURL:Description/text()");
		if (hlDesc != null && hlDesc.nodeValue.length > 0)
		{
			hlObj.Desc = HTMLEscape (hlDesc.nodeValue);
		}
		else
		{
			hlObj.Desc = strAddress;
		}

		var hlNewWindow = SelectSingleNode(hlNode,"HLURL:NewWindow/text()");
		if (hlNewWindow != null && hlNewWindow.nodeValue.length > 0)
		{
			hlObj.NewWindow = (hlNewWindow.nodeValue == "1");
		}		
	}

	return hlObj;
}


</script>
</head>

	
	

<frameset cols="257,1*">
 <frame name=frmToolbar src="Pythagorean%20Support%20Files/toolbar.htm"
 scrolling=no>
 <frame name=frmDrawing src="Pythagorean%20Support%20Files/png_1.htm"
 marginwidth=10 marginheight=10>
 <noframes>
  <body lang=EN-US link=blue vlink=purple style='tab-interval:.5in'>
  <div class=WordSection1>
  <h1><span style='mso-fareast-font-family:"Times New Roman"'>Pythagorean
  Theorem Proof via Parallelogram Construction<o:p></o:p></span></h1>
  <ul type=disc>
   <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:
       auto;mso-list:l0 level1 lfo1;tab-stops:list .5in'><a
       href="Pythagorean Proof new_files/png_1.htm">Page-1</a></li>
  </ul>
  </div>
  </body>
  	
 </noframes>
</frameset>

</html>