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7040euler.fodt
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<?xml version="1.0" encoding="UTF-8"?>
<office:document xmlns:office="urn:oasis:names:tc:opendocument:xmlns:office:1.0" xmlns:ooo="http://openoffice.org/2004/office" xmlns:fo="urn:oasis:names:tc:opendocument:xmlns:xsl-fo-compatible:1.0" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:config="urn:oasis:names:tc:opendocument:xmlns:config:1.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:meta="urn:oasis:names:tc:opendocument:xmlns:meta:1.0" xmlns:style="urn:oasis:names:tc:opendocument:xmlns:style:1.0" xmlns:text="urn:oasis:names:tc:opendocument:xmlns:text:1.0" xmlns:rpt="http://openoffice.org/2005/report" xmlns:draw="urn:oasis:names:tc:opendocument:xmlns:drawing:1.0" xmlns:dr3d="urn:oasis:names:tc:opendocument:xmlns:dr3d:1.0" xmlns:svg="urn:oasis:names:tc:opendocument:xmlns:svg-compatible:1.0" xmlns:chart="urn:oasis:names:tc:opendocument:xmlns:chart:1.0" xmlns:table="urn:oasis:names:tc:opendocument:xmlns:table:1.0" xmlns:number="urn:oasis:names:tc:opendocument:xmlns:datastyle:1.0" xmlns:ooow="http://openoffice.org/2004/writer" xmlns:oooc="http://openoffice.org/2004/calc" xmlns:of="urn:oasis:names:tc:opendocument:xmlns:of:1.2" xmlns:xforms="http://www.w3.org/2002/xforms" xmlns:tableooo="http://openoffice.org/2009/table" xmlns:calcext="urn:org:documentfoundation:names:experimental:calc:xmlns:calcext:1.0" xmlns:drawooo="http://openoffice.org/2010/draw" xmlns:loext="urn:org:documentfoundation:names:experimental:office:xmlns:loext:1.0" xmlns:field="urn:openoffice:names:experimental:ooo-ms-interop:xmlns:field:1.0" xmlns:math="http://www.w3.org/1998/Math/MathML" xmlns:form="urn:oasis:names:tc:opendocument:xmlns:form:1.0" xmlns:script="urn:oasis:names:tc:opendocument:xmlns:script:1.0" xmlns:formx="urn:openoffice:names:experimental:ooxml-odf-interop:xmlns:form:1.0" xmlns:dom="http://www.w3.org/2001/xml-events" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xhtml="http://www.w3.org/1999/xhtml" xmlns:grddl="http://www.w3.org/2003/g/data-view#" xmlns:css3t="http://www.w3.org/TR/css3-text/" xmlns:officeooo="http://openoffice.org/2009/office" office:version="1.3" office:mimetype="application/vnd.oasis.opendocument.text">
<office:meta><meta:generator>LibreOffice/7.4.6.2$Windows_X86_64 LibreOffice_project/5b1f5509c2decdade7fda905e3e1429a67acd63d</meta:generator><meta:initial-creator>COMPUTING</meta:initial-creator><meta:creation-date>1995-02-23T08:17:00</meta:creation-date><dc:creator>Aik-Siong Koh</dc:creator><dc:date>2008-03-24T23:08:00</dc:date><dc:language>en-US</dc:language><meta:editing-cycles>39</meta:editing-cycles><meta:editing-duration>PT15H50M58S</meta:editing-duration><meta:document-statistic meta:table-count="0" meta:image-count="0" meta:object-count="12" meta:page-count="1" meta:paragraph-count="16" meta:word-count="51" meta:character-count="312"/><meta:user-defined meta:name="Info 1"/><meta:user-defined meta:name="Info 2"/><meta:user-defined meta:name="Info 3"/><meta:user-defined meta:name="Info 4"/></office:meta>
<office:settings>
<config:config-item-set config:name="ooo:view-settings">
<config:config-item config:name="ViewAreaTop" config:type="long">501</config:config-item>
<config:config-item config:name="ViewAreaLeft" config:type="long">501</config:config-item>
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<config:config-item config:name="ViewAreaHeight" config:type="long">11379</config:config-item>
<config:config-item config:name="ShowRedlineChanges" config:type="boolean">true</config:config-item>
<config:config-item config:name="InBrowseMode" config:type="boolean">true</config:config-item>
<config:config-item-map-indexed config:name="Views">
<config:config-item-map-entry>
<config:config-item config:name="ViewId" config:type="string">view2</config:config-item>
<config:config-item config:name="ViewLeft" config:type="long">607</config:config-item>
<config:config-item config:name="ViewTop" config:type="long">1083</config:config-item>
<config:config-item config:name="VisibleLeft" config:type="long">501</config:config-item>
<config:config-item config:name="VisibleTop" config:type="long">501</config:config-item>
<config:config-item config:name="VisibleRight" config:type="long">21377</config:config-item>
<config:config-item config:name="VisibleBottom" config:type="long">11878</config:config-item>
<config:config-item config:name="ZoomType" config:type="short">0</config:config-item>
<config:config-item config:name="ViewLayoutColumns" config:type="short">1</config:config-item>
<config:config-item config:name="ViewLayoutBookMode" config:type="boolean">false</config:config-item>
<config:config-item config:name="ZoomFactor" config:type="short">200</config:config-item>
<config:config-item config:name="IsSelectedFrame" config:type="boolean">false</config:config-item>
<config:config-item config:name="KeepRatio" config:type="boolean">false</config:config-item>
<config:config-item config:name="HideWhitespace" config:type="boolean">false</config:config-item>
<config:config-item config:name="AnchoredTextOverflowLegacy" config:type="boolean">true</config:config-item>
</config:config-item-map-entry>
</config:config-item-map-indexed>
</config:config-item-set>
<config:config-item-set config:name="ooo:configuration-settings">
<config:config-item config:name="ProtectForm" config:type="boolean">false</config:config-item>
<config:config-item-map-indexed config:name="ForbiddenCharacters">
<config:config-item-map-entry>
<config:config-item config:name="Language" config:type="string">ja</config:config-item>
<config:config-item config:name="Country" config:type="string">JP</config:config-item>
<config:config-item config:name="Variant" config:type="string"/>
<config:config-item config:name="BeginLine" config:type="string">!%),.:;?]}¢°’”‰′″℃、。々〉》」』】〕゛゜ゝゞ・ヽヾ!%),.:;?]}。」、・゙゚¢</config:config-item>
<config:config-item config:name="EndLine" config:type="string">$([\{£¥‘“〈《「『【〔$([{「£¥</config:config-item>
</config:config-item-map-entry>
</config:config-item-map-indexed>
<config:config-item config:name="PrinterName" config:type="string">HP Officejet Pro 8600 (Network)</config:config-item>
<config:config-item config:name="EmbeddedDatabaseName" config:type="string"/>
<config:config-item config:name="CurrentDatabaseDataSource" config:type="string"/>
<config:config-item config:name="LinkUpdateMode" config:type="short">1</config:config-item>
<config:config-item config:name="AddParaTableSpacingAtStart" config:type="boolean">true</config:config-item>
<config:config-item config:name="FloattableNomargins" config:type="boolean">false</config:config-item>
<config:config-item config:name="UnbreakableNumberings" config:type="boolean">false</config:config-item>
<config:config-item config:name="FieldAutoUpdate" config:type="boolean">true</config:config-item>
<config:config-item config:name="AddVerticalFrameOffsets" config:type="boolean">false</config:config-item>
<config:config-item config:name="BackgroundParaOverDrawings" config:type="boolean">false</config:config-item>
<config:config-item config:name="AddParaTableSpacing" config:type="boolean">true</config:config-item>
<config:config-item config:name="ChartAutoUpdate" config:type="boolean">true</config:config-item>
<config:config-item config:name="CurrentDatabaseCommand" config:type="string"/>
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<config:config-item config:name="AlignTabStopPosition" config:type="boolean">true</config:config-item>
<config:config-item config:name="PrinterPaperFromSetup" config:type="boolean">false</config:config-item>
<config:config-item config:name="IsKernAsianPunctuation" config:type="boolean">false</config:config-item>
<config:config-item config:name="CharacterCompressionType" config:type="short">0</config:config-item>
<config:config-item config:name="ApplyUserData" config:type="boolean">true</config:config-item>
<config:config-item config:name="DoNotJustifyLinesWithManualBreak" config:type="boolean">true</config:config-item>
<config:config-item config:name="SaveThumbnail" config:type="boolean">true</config:config-item>
<config:config-item config:name="SaveGlobalDocumentLinks" config:type="boolean">false</config:config-item>
<config:config-item config:name="SmallCapsPercentage66" config:type="boolean">true</config:config-item>
<config:config-item config:name="CurrentDatabaseCommandType" config:type="int">0</config:config-item>
<config:config-item config:name="SaveVersionOnClose" config:type="boolean">false</config:config-item>
<config:config-item config:name="UpdateFromTemplate" config:type="boolean">false</config:config-item>
<config:config-item config:name="DoNotCaptureDrawObjsOnPage" config:type="boolean">false</config:config-item>
<config:config-item config:name="UseFormerObjectPositioning" config:type="boolean">true</config:config-item>
<config:config-item config:name="PrintSingleJobs" config:type="boolean">false</config:config-item>
<config:config-item config:name="EmbedSystemFonts" config:type="boolean">false</config:config-item>
<config:config-item config:name="PrinterIndependentLayout" config:type="string">disabled</config:config-item>
<config:config-item config:name="IsLabelDocument" config:type="boolean">false</config:config-item>
<config:config-item config:name="AddFrameOffsets" config:type="boolean">false</config:config-item>
<config:config-item config:name="AddExternalLeading" config:type="boolean">false</config:config-item>
<config:config-item config:name="MsWordCompMinLineHeightByFly" config:type="boolean">false</config:config-item>
<config:config-item config:name="UseOldNumbering" config:type="boolean">true</config:config-item>
<config:config-item config:name="OutlineLevelYieldsNumbering" config:type="boolean">false</config:config-item>
<config:config-item config:name="DoNotResetParaAttrsForNumFont" config:type="boolean">true</config:config-item>
<config:config-item config:name="IgnoreFirstLineIndentInNumbering" config:type="boolean">true</config:config-item>
<config:config-item config:name="AllowPrintJobCancel" config:type="boolean">true</config:config-item>
<config:config-item config:name="UseFormerLineSpacing" config:type="boolean">true</config:config-item>
<config:config-item config:name="AddParaSpacingToTableCells" config:type="boolean">false</config:config-item>
<config:config-item config:name="AddParaLineSpacingToTableCells" config:type="boolean">false</config:config-item>
<config:config-item config:name="UseFormerTextWrapping" config:type="boolean">true</config:config-item>
<config:config-item config:name="RedlineProtectionKey" config:type="base64Binary"/>
<config:config-item config:name="ConsiderTextWrapOnObjPos" config:type="boolean">false</config:config-item>
<config:config-item config:name="TableRowKeep" config:type="boolean">false</config:config-item>
<config:config-item config:name="TabsRelativeToIndent" config:type="boolean">true</config:config-item>
<config:config-item config:name="IgnoreTabsAndBlanksForLineCalculation" config:type="boolean">false</config:config-item>
<config:config-item config:name="RsidRoot" config:type="int">1453509</config:config-item>
<config:config-item config:name="LoadReadonly" config:type="boolean">false</config:config-item>
<config:config-item config:name="ClipAsCharacterAnchoredWriterFlyFrames" config:type="boolean">true</config:config-item>
<config:config-item config:name="UnxForceZeroExtLeading" config:type="boolean">true</config:config-item>
<config:config-item config:name="UseOldPrinterMetrics" config:type="boolean">false</config:config-item>
<config:config-item config:name="TabAtLeftIndentForParagraphsInList" config:type="boolean">false</config:config-item>
<config:config-item config:name="Rsid" config:type="int">1453509</config:config-item>
<config:config-item config:name="MsWordCompTrailingBlanks" config:type="boolean">false</config:config-item>
<config:config-item config:name="MathBaselineAlignment" config:type="boolean">false</config:config-item>
<config:config-item config:name="InvertBorderSpacing" config:type="boolean">false</config:config-item>
<config:config-item config:name="CollapseEmptyCellPara" config:type="boolean">false</config:config-item>
<config:config-item config:name="TabOverflow" config:type="boolean">false</config:config-item>
<config:config-item config:name="StylesNoDefault" config:type="boolean">false</config:config-item>
<config:config-item config:name="ClippedPictures" config:type="boolean">false</config:config-item>
<config:config-item config:name="EmbedFonts" config:type="boolean">false</config:config-item>
<config:config-item config:name="EmbedOnlyUsedFonts" config:type="boolean">false</config:config-item>
<config:config-item config:name="EmbedLatinScriptFonts" config:type="boolean">true</config:config-item>
<config:config-item config:name="EmbedAsianScriptFonts" config:type="boolean">true</config:config-item>
<config:config-item config:name="EmptyDbFieldHidesPara" config:type="boolean">false</config:config-item>
<config:config-item config:name="EmbedComplexScriptFonts" config:type="boolean">true</config:config-item>
<config:config-item config:name="TabOverMargin" config:type="boolean">false</config:config-item>
<config:config-item config:name="TabOverSpacing" config:type="boolean">false</config:config-item>
<config:config-item config:name="TreatSingleColumnBreakAsPageBreak" config:type="boolean">false</config:config-item>
<config:config-item config:name="SurroundTextWrapSmall" config:type="boolean">false</config:config-item>
<config:config-item config:name="ApplyParagraphMarkFormatToNumbering" config:type="boolean">false</config:config-item>
<config:config-item config:name="PropLineSpacingShrinksFirstLine" config:type="boolean">false</config:config-item>
<config:config-item config:name="SubtractFlysAnchoredAtFlys" config:type="boolean">true</config:config-item>
<config:config-item config:name="DisableOffPagePositioning" config:type="boolean">false</config:config-item>
<config:config-item config:name="ContinuousEndnotes" config:type="boolean">false</config:config-item>
<config:config-item config:name="ProtectBookmarks" config:type="boolean">false</config:config-item>
<config:config-item config:name="ProtectFields" config:type="boolean">false</config:config-item>
<config:config-item config:name="HeaderSpacingBelowLastPara" config:type="boolean">false</config:config-item>
<config:config-item config:name="FrameAutowidthWithMorePara" config:type="boolean">false</config:config-item>
<config:config-item config:name="GutterAtTop" config:type="boolean">false</config:config-item>
<config:config-item config:name="FootnoteInColumnToPageEnd" config:type="boolean">false</config:config-item>
<config:config-item config:name="ImagePreferredDPI" config:type="int">0</config:config-item>
<config:config-item config:name="AutoFirstLineIndentDisregardLineSpace" config:type="boolean">false</config:config-item>
<config:config-item config:name="WordLikeWrapForAsCharFlys" config:type="boolean">false</config:config-item>
<config:config-item config:name="NoNumberingShowFollowBy" config:type="boolean">false</config:config-item>
<config:config-item config:name="PrintAnnotationMode" config:type="short">0</config:config-item>
<config:config-item config:name="PrintGraphics" config:type="boolean">true</config:config-item>
<config:config-item config:name="PrintBlackFonts" config:type="boolean">false</config:config-item>
<config:config-item config:name="PrintLeftPages" config:type="boolean">true</config:config-item>
<config:config-item config:name="PrintControls" config:type="boolean">true</config:config-item>
<config:config-item config:name="PrintPageBackground" config:type="boolean">true</config:config-item>
<config:config-item config:name="PrintTextPlaceholder" config:type="boolean">false</config:config-item>
<config:config-item config:name="PrintDrawings" config:type="boolean">true</config:config-item>
<config:config-item config:name="PrintHiddenText" config:type="boolean">false</config:config-item>
<config:config-item config:name="PrintProspect" config:type="boolean">false</config:config-item>
<config:config-item config:name="PrintTables" config:type="boolean">true</config:config-item>
<config:config-item config:name="PrintProspectRTL" config:type="boolean">false</config:config-item>
<config:config-item config:name="PrintReversed" config:type="boolean">false</config:config-item>
<config:config-item config:name="PrintRightPages" config:type="boolean">true</config:config-item>
<config:config-item config:name="PrintFaxName" config:type="string"/>
<config:config-item config:name="PrintPaperFromSetup" config:type="boolean">false</config:config-item>
<config:config-item config:name="PrintEmptyPages" config:type="boolean">true</config:config-item>
</config:config-item-set>
</office:settings>
<office:scripts>
<office:script script:language="ooo:Basic">
<ooo:libraries xmlns:ooo="http://openoffice.org/2004/office" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</office:script>
</office:scripts>
<office:font-face-decls>
<style:font-face style:name="Albany" svg:font-family="Albany" style:font-family-generic="swiss" style:font-pitch="variable"/>
<style:font-face style:name="Arial Unicode MS" svg:font-family="'Arial Unicode MS'" style:font-pitch="variable"/>
<style:font-face style:name="HG Mincho Light J" svg:font-family="'HG Mincho Light J'" style:font-pitch="variable"/>
<style:font-face style:name="Thorndale" svg:font-family="Thorndale" style:font-family-generic="roman" style:font-pitch="variable"/>
<style:font-face style:name="Times New Roman" svg:font-family="'Times New Roman'" style:font-family-generic="roman" style:font-pitch="variable"/>
</office:font-face-decls>
<office:styles>
<style:default-style style:family="graphic">
<style:graphic-properties svg:stroke-color="#000000" draw:fill-color="#99ccff" fo:wrap-option="no-wrap" draw:shadow-offset-x="0.1181in" draw:shadow-offset-y="0.1181in" draw:start-line-spacing-horizontal="0.1114in" draw:start-line-spacing-vertical="0.1114in" draw:end-line-spacing-horizontal="0.1114in" draw:end-line-spacing-vertical="0.1114in" style:flow-with-text="true"/>
<style:paragraph-properties style:text-autospace="ideograph-alpha" style:line-break="strict" style:font-independent-line-spacing="false">
<style:tab-stops/>
</style:paragraph-properties>
<style:text-properties fo:color="#000000" loext:opacity="100%" loext:color-lum-mod="100%" loext:color-lum-off="0%" style:font-name="Thorndale" fo:font-size="12pt" fo:language="en" fo:country="US" style:font-name-asian="HG Mincho Light J" style:font-size-asian="12pt" style:language-asian="zxx" style:country-asian="none" style:font-name-complex="Arial Unicode MS" style:font-size-complex="12pt" style:language-complex="zxx" style:country-complex="none"/>
</style:default-style>
<style:default-style style:family="paragraph">
<style:paragraph-properties fo:hyphenation-ladder-count="no-limit" style:text-autospace="ideograph-alpha" style:punctuation-wrap="hanging" style:line-break="strict" style:tab-stop-distance="0.5in" style:writing-mode="page"/>
<style:text-properties fo:color="#000000" loext:opacity="100%" style:font-name="Thorndale" fo:font-size="12pt" fo:language="en" fo:country="US" style:font-name-asian="HG Mincho Light J" style:font-size-asian="12pt" style:language-asian="zxx" style:country-asian="none" style:font-name-complex="Arial Unicode MS" style:font-size-complex="12pt" style:language-complex="zxx" style:country-complex="none" fo:hyphenate="false" fo:hyphenation-remain-char-count="2" fo:hyphenation-push-char-count="2" loext:hyphenation-no-caps="false" loext:hyphenation-no-last-word="false" loext:hyphenation-word-char-count="no-limit" loext:hyphenation-zone="no-limit"/>
</style:default-style>
<style:default-style style:family="table">
<style:table-properties table:border-model="separating"/>
</style:default-style>
<style:default-style style:family="table-row">
<style:table-row-properties fo:keep-together="always"/>
</style:default-style>
<style:style style:name="Standard" style:family="paragraph" style:class="text">
<style:paragraph-properties fo:orphans="2" fo:widows="2"/>
<style:text-properties style:use-window-font-color="true" loext:opacity="0%" style:font-name="Times New Roman" fo:font-family="'Times New Roman'" style:font-family-generic="roman" style:font-pitch="variable" fo:font-size="12pt" fo:language="en" fo:country="US" style:font-name-asian="Times New Roman" style:font-family-asian="'Times New Roman'" style:font-family-generic-asian="roman" style:font-pitch-asian="variable" style:font-size-asian="12pt"/>
</style:style>
<style:style style:name="Text_20_body" style:display-name="Text body" style:family="paragraph" style:parent-style-name="Standard" style:class="text">
<style:paragraph-properties fo:margin-top="0in" fo:margin-bottom="0.0835in" style:contextual-spacing="false"/>
</style:style>
<style:style style:name="Heading" style:family="paragraph" style:parent-style-name="Standard" style:next-style-name="Text_20_body" style:class="text">
<style:paragraph-properties fo:margin-top="0.1665in" fo:margin-bottom="0.0835in" style:contextual-spacing="false" fo:keep-with-next="always"/>
<style:text-properties style:font-name="Albany" fo:font-family="Albany" style:font-family-generic="swiss" style:font-pitch="variable" fo:font-size="14pt" style:font-name-asian="HG Mincho Light J" style:font-family-asian="'HG Mincho Light J'" style:font-pitch-asian="variable" style:font-size-asian="14pt" style:font-name-complex="Arial Unicode MS" style:font-family-complex="'Arial Unicode MS'" style:font-pitch-complex="variable" style:font-size-complex="14pt"/>
</style:style>
<style:style style:name="Heading_20_1" style:display-name="Heading 1" style:family="paragraph" style:parent-style-name="Standard" style:next-style-name="Standard" style:default-outline-level="1" style:class="text">
<style:paragraph-properties fo:margin-top="0.1665in" fo:margin-bottom="0.0417in" style:contextual-spacing="false" fo:keep-with-next="always"/>
<style:text-properties fo:font-weight="bold" style:letter-kerning="true" style:font-weight-asian="bold"/>
</style:style>
<style:style style:name="Heading_20_2" style:display-name="Heading 2" style:family="paragraph" style:parent-style-name="Standard" style:next-style-name="Standard" style:default-outline-level="2" style:class="text">
<style:paragraph-properties fo:margin-top="0.1665in" fo:margin-bottom="0.0417in" style:contextual-spacing="false" fo:keep-with-next="always"/>
<style:text-properties fo:font-weight="bold" style:font-weight-asian="bold"/>
</style:style>
<style:style style:name="Heading_20_3" style:display-name="Heading 3" style:family="paragraph" style:parent-style-name="Standard" style:next-style-name="Standard" style:default-outline-level="3" style:class="text">
<style:paragraph-properties fo:margin-top="0.1665in" fo:margin-bottom="0.0417in" style:contextual-spacing="false" fo:keep-with-next="always"/>
<style:text-properties fo:font-weight="bold" style:font-weight-asian="bold"/>
</style:style>
<style:style style:name="Heading_20_4" style:display-name="Heading 4" style:family="paragraph" style:parent-style-name="Standard" style:next-style-name="Standard" style:default-outline-level="4" style:class="text">
<style:paragraph-properties fo:margin-top="0.1665in" fo:margin-bottom="0.0417in" style:contextual-spacing="false" fo:keep-with-next="always"/>
<style:text-properties fo:font-weight="bold" style:font-weight-asian="bold"/>
</style:style>
<style:style style:name="equation" style:family="paragraph" style:parent-style-name="Standard">
<style:paragraph-properties>
<style:tab-stops>
<style:tab-stop style:position="6.25in" style:type="right"/>
</style:tab-stops>
</style:paragraph-properties>
</style:style>
<style:style style:name="figure" style:family="paragraph" style:parent-style-name="Standard">
<style:paragraph-properties fo:margin-top="0.1665in" fo:margin-bottom="0.0417in" style:contextual-spacing="false" fo:text-align="center" style:justify-single-word="false" fo:keep-with-next="always"/>
</style:style>
<style:style style:name="Footnote_20_Symbol" style:display-name="Footnote Symbol" style:family="text"/>
<style:style style:name="Endnote_20_Symbol" style:display-name="Endnote Symbol" style:family="text"/>
<style:style style:name="WW-Default_20_Paragraph_20_Font" style:display-name="WW-Default Paragraph Font" style:family="text"/>
<style:style style:name="Footnote_20_anchor" style:display-name="Footnote anchor" style:family="text">
<style:text-properties style:text-position="super 58%"/>
</style:style>
<style:style style:name="Endnote_20_anchor" style:display-name="Endnote anchor" style:family="text">
<style:text-properties style:text-position="super 58%"/>
</style:style>
<style:style style:name="Frame" style:family="graphic">
<style:graphic-properties text:anchor-type="paragraph" svg:x="0in" svg:y="0in" style:wrap="parallel" style:number-wrapped-paragraphs="no-limit" style:wrap-contour="false" style:vertical-pos="top" style:vertical-rel="paragraph-content" style:horizontal-pos="center" style:horizontal-rel="paragraph-content"/>
</style:style>
<style:style style:name="Graphics" style:family="graphic">
<style:graphic-properties text:anchor-type="paragraph" svg:x="0in" svg:y="0in" style:wrap="none" style:vertical-pos="top" style:vertical-rel="paragraph" style:horizontal-pos="center" style:horizontal-rel="paragraph"/>
</style:style>
<style:style style:name="OLE" style:family="graphic">
<style:graphic-properties text:anchor-type="paragraph" svg:x="0in" svg:y="0in" style:wrap="none" style:vertical-pos="top" style:vertical-rel="paragraph" style:horizontal-pos="center" style:horizontal-rel="paragraph"/>
</style:style>
<style:style style:name="Formula" style:family="graphic">
<style:graphic-properties text:anchor-type="as-char" svg:y="0in" fo:margin-left="0.0791in" fo:margin-right="0.0791in" style:vertical-pos="middle" style:vertical-rel="text"/>
</style:style>
<text:outline-style style:name="Outline">
<text:outline-level-style text:level="1" loext:num-list-format="%1%" style:num-format="">
<style:list-level-properties/>
</text:outline-level-style>
<text:outline-level-style text:level="2" loext:num-list-format="%2%" style:num-format="">
<style:list-level-properties/>
</text:outline-level-style>
<text:outline-level-style text:level="3" loext:num-list-format="%3%" style:num-format="">
<style:list-level-properties/>
</text:outline-level-style>
<text:outline-level-style text:level="4" loext:num-list-format="%4%" style:num-format="">
<style:list-level-properties/>
</text:outline-level-style>
<text:outline-level-style text:level="5" loext:num-list-format="%5%" style:num-format="">
<style:list-level-properties/>
</text:outline-level-style>
<text:outline-level-style text:level="6" loext:num-list-format="%6%" style:num-format="">
<style:list-level-properties/>
</text:outline-level-style>
<text:outline-level-style text:level="7" loext:num-list-format="%7%" style:num-format="">
<style:list-level-properties/>
</text:outline-level-style>
<text:outline-level-style text:level="8" loext:num-list-format="%8%" style:num-format="">
<style:list-level-properties/>
</text:outline-level-style>
<text:outline-level-style text:level="9" loext:num-list-format="%9%" style:num-format="">
<style:list-level-properties/>
</text:outline-level-style>
<text:outline-level-style text:level="10" loext:num-list-format="%10%" style:num-format="">
<style:list-level-properties/>
</text:outline-level-style>
</text:outline-style>
<text:notes-configuration text:note-class="footnote" text:citation-style-name="Footnote_20_Symbol" text:citation-body-style-name="Footnote_20_anchor" style:num-format="1" text:start-value="0" text:footnotes-position="page" text:start-numbering-at="page"/>
<text:notes-configuration text:note-class="endnote" text:citation-style-name="Endnote_20_Symbol" text:citation-body-style-name="Endnote_20_anchor" text:master-page-name="Endnote" style:num-format="1" text:start-value="0"/>
<text:linenumbering-configuration text:number-lines="false" text:offset="0.1965in" style:num-format="1" text:number-position="left" text:increment="5"/>
</office:styles>
<office:automatic-styles>
<style:style style:name="fr1" style:family="graphic" style:parent-style-name="Formula">
<style:graphic-properties style:vertical-pos="middle" style:vertical-rel="text" style:horizontal-pos="center" style:horizontal-rel="paragraph" draw:ole-draw-aspect="1"/>
</style:style>
<style:style style:name="fr2" style:family="graphic" style:parent-style-name="Formula">
<style:graphic-properties style:vertical-pos="middle" style:vertical-rel="text" style:horizontal-pos="from-left" style:horizontal-rel="paragraph-content" draw:ole-draw-aspect="1"/>
</style:style>
<style:page-layout style:name="pm1">
<style:page-layout-properties fo:page-width="8.3in" fo:page-height="11.7in" style:num-format="1" style:print-orientation="portrait" fo:margin-top="1in" fo:margin-bottom="1in" fo:margin-left="1in" fo:margin-right="1in" style:writing-mode="lr-tb" style:layout-grid-color="#c0c0c0" style:layout-grid-lines="38" style:layout-grid-base-height="0.1945in" style:layout-grid-ruby-height="0.0555in" style:layout-grid-mode="none" style:layout-grid-ruby-below="false" style:layout-grid-print="false" style:layout-grid-display="false" style:footnote-max-height="0in" loext:margin-gutter="0in">
<style:footnote-sep style:width="0.0071in" style:distance-before-sep="0.0398in" style:distance-after-sep="0.0398in" style:line-style="solid" style:adjustment="left" style:rel-width="25%" style:color="#000000"/>
</style:page-layout-properties>
<style:header-style/>
<style:footer-style/>
</style:page-layout>
<style:page-layout style:name="pm2">
<style:page-layout-properties fo:page-width="8.3in" fo:page-height="11.7in" style:num-format="1" style:print-orientation="portrait" fo:margin-top="0.7874in" fo:margin-bottom="0.7874in" fo:margin-left="0.7874in" fo:margin-right="0.7874in" style:writing-mode="lr-tb" style:layout-grid-color="#c0c0c0" style:layout-grid-lines="20" style:layout-grid-base-height="0.278in" style:layout-grid-ruby-height="0.139in" style:layout-grid-mode="none" style:layout-grid-ruby-below="false" style:layout-grid-print="false" style:layout-grid-display="false" style:footnote-max-height="0in" loext:margin-gutter="0in">
<style:footnote-sep style:line-style="solid" style:adjustment="left" style:rel-width="25%" style:color="#000000"/>
</style:page-layout-properties>
<style:header-style/>
<style:footer-style/>
</style:page-layout>
<style:style style:name="dp1" style:family="drawing-page">
<style:drawing-page-properties draw:background-size="full"/>
</style:style>
</office:automatic-styles>
<office:master-styles>
<style:master-page style:name="Standard" style:page-layout-name="pm1" draw:style-name="dp1"/>
<style:master-page style:name="Endnote" style:page-layout-name="pm2" draw:style-name="dp1"/>
</office:master-styles>
<office:body>
<office:text>
<office:forms form:automatic-focus="false" form:apply-design-mode="false"/>
<text:sequence-decls>
<text:sequence-decl text:display-outline-level="0" text:name="Illustration"/>
<text:sequence-decl text:display-outline-level="0" text:name="Table"/>
<text:sequence-decl text:display-outline-level="0" text:name="Text"/>
<text:sequence-decl text:display-outline-level="0" text:name="Drawing"/>
<text:sequence-decl text:display-outline-level="0" text:name="Figure"/>
</text:sequence-decls>
<text:h text:style-name="Heading_20_1" text:outline-level="1">AutoCAD rotation and normal convention.</text:h>
<text:p text:style-name="Standard">It is similar to Euler Angles zxz.</text:p>
<text:p text:style-name="Standard">Sequence of AutoCAD command for a block reference.</text:p>
<text:p text:style-name="Standard">Normal (0 0 1) to start convention. Otherwise, I cannot predict the actions of subsequent commands.</text:p>
<text:p text:style-name="Standard">Rotation is<draw:frame draw:style-name="fr1" draw:name="Object47" text:anchor-type="as-char" svg:width="0.2654in" svg:height="0.228in" draw:z-index="5"><draw:object>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<semantics>
<msub>
<mi>θ</mi>
<mrow>
<mn>3</mn>
<mi>z</mi>
</mrow>
</msub>
<annotation encoding="StarMath 5.0">%theta_3z</annotation>
</semantics>
</math>
</draw:object><draw:image>
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</draw:image>
</draw:frame></text:p>
<text:p text:style-name="Standard">Normal<draw:frame draw:style-name="fr1" draw:name="Object50" text:anchor-type="as-char" svg:width="0.7965in" svg:height="0.239in" draw:z-index="8"><draw:object>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<semantics>
<mrow>
<mo fence="true" form="prefix" stretchy="true">(</mo>
<mrow>
<mrow>
<msub>
<mi>n</mi>
<mi>x</mi>
</msub>
<mi>,</mi>
<msub>
<mi>n</mi>
<mi>y</mi>
</msub>
<mi>,</mi>
<msub>
<mi>n</mi>
<mi>z</mi>
</msub>
</mrow>
</mrow>
<mo fence="true" form="postfix" stretchy="true">)</mo>
</mrow>
<annotation encoding="StarMath 5.0">left(
n_x ,
n_y ,
n_z
right)</annotation>
</semantics>
</math>
</draw:object><draw:image>
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<msup>
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+
%pi over 2
=
tan^-1
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</semantics>
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<semantics>
<mrow>
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<mrow>
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<annotation encoding="StarMath 5.0">%theta_2x
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