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<!DOCTYPE html><html><head><title>Geometry: Our Cultural Heritage - Audun Holme - Google Books</title><link rel="stylesheet" href="/books/css/_79b9fa3fbab7b5639bc13e688d427039/kl_about_this_book_kennedy_full_bundle.css" type="text/css" /><link rel="stylesheet"href="https://fonts.googleapis.com/css2?family=Product+Sans:wght@400"><script src="/books/javascript/atb_79b9fa3fbab7b5639bc13e688d427039__en.js"></script><link rel="canonical" href="https://books.google.com/books/about/Geometry.html?id=zXwQGo8jyHUC"/><meta property="og:url" content="https://books.google.com/books/about/Geometry.html?id=zXwQGo8jyHUC"/><meta name="title" content="Geometry"/><meta name="description" content="This is a revised edition of the ?rst printing which appeared in 2002. The book is based on lectures at the University of Bergen, Norway.Over the years these lectures have covered many different aspects and facets of the wonderful ?eld of geometry. Consequently it has never been possible to give a full and ?nal account of geometry as such, at an undergraduatelevel: A carefully consideredselection has always been necessary. The present book constitutes the main central themes of these selections. One of the groups I am aiming at, is future teachers of mathematics. All too oftenthe textsdealingwith geometrywhichgo intothe syllabusforteacher-students present the material in ways which appear pedantic and formalistic, suppressing the very powerful and dynamic character of this old ?eld, which at the same time so young. Geometry is a ?eld of mathematical insight, research, history and source of artistic inspiration. 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The book is based on lectures at the University of Bergen, Norway.Over the years these lectures have covered many different aspects and facets of the wonderful ?eld of geometry. Consequently it has never been possible to give a full and ?nal account of geometry as such, at an undergraduatelevel: A carefully consideredselection has always been necessary. The present book constitutes the main central themes of these selections. One of the groups I am aiming at, is future teachers of mathematics. All too oftenthe textsdealingwith geometrywhichgo intothe syllabusforteacher-students present the material in ways which appear pedantic and formalistic, suppressing the very powerful and dynamic character of this old ?eld, which at the same time so young. Geometry is a ?eld of mathematical insight, research, history and source of artistic inspiration. And not least important, an integral part of our common cultural heritage.</div></div></div><div class="search_box_wrapper"><form action=/books id=search_form style="margin:0px;padding:0px;" method=get> <input type=hidden name="redir_esc" value="y"><input type=hidden name="id" value="zXwQGo8jyHUC"><table cellpadding=0 cellspacing=0 class="swv-table"><tr><td class="swv-td-search"><span><input id=search_form_input type=text maxlength=1024 class="text_flat swv-input-search" aria-label="Search in this book" name=q value="" title="Search inside" accesskey=i></span></td><td class="swv-td-space"><div> </div></td><td><input type=submit value="Search inside"></td></tr></table><script type="text/javascript">if (window['_OC_autoDir']) {_OC_autoDir('search_form_input');}</script></form><div id="preview-link"><a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&printsec=frontcover" class="primary"><span dir=ltr>Preview this book</span> »</a></div></div></td> </tr></table><div id="summary-second-column"></div></div></div></div></div><div class=vertical_module_list_row><h3 class=about_title><a name="selected_pages_anchor"></a>Selected pages</h3><div id=selected_pages class=about_content><div id=selected_pages_v><div class="selectedpagesthumbnail"><a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&pg=PR3&source=gbs_selected_pages&cad=1" ><img src="https://books.google.com.sg/books/content?id=zXwQGo8jyHUC&pg=PR3&img=1&zoom=1&sig=ACfU3U1XocG1w9iueOkMIQOgxImubML-UQ" alt="Title Page" title="Title Page" height="160" border="1"></a><br/><a class="primary" href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&pg=PR3&source=gbs_selected_pages&cad=1" >Title Page</a></div><div class="selectedpagesthumbnail"><a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&pg=PR13&source=gbs_selected_pages&cad=1" ><img src="https://books.google.com.sg/books/content?id=zXwQGo8jyHUC&pg=PR13&img=1&zoom=1&sig=ACfU3U3sCeEsO2fZDH8T6QizrqEnyRdckw" alt="Table of Contents" title="Table of Contents" height="160" border="1"></a><br/><a class="primary" href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&pg=PR13&source=gbs_selected_pages&cad=1" >Table of Contents</a></div><div class="selectedpagesthumbnail"><a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&pg=PA507&source=gbs_selected_pages&cad=1" ><img src="https://books.google.com.sg/books/content?id=zXwQGo8jyHUC&pg=PA507&img=1&zoom=1&sig=ACfU3U1hN2zqVNqi0erNfwf9HG31NRMHkw" alt="Index" title="Index" height="160" border="1"></a><br/><a class="primary" href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&pg=PA507&source=gbs_selected_pages&cad=1" >Index</a></div><div class="selectedpagesthumbnail"><a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&pg=PA503&source=gbs_selected_pages&cad=1" ><img src="https://books.google.com.sg/books/content?id=zXwQGo8jyHUC&pg=PA503&img=1&zoom=1&sig=ACfU3U2u3lHsW3F3fBPayw4xt5NHz2UjNw" alt="References" title="References" height="160" border="1"></a><br/><a class="primary" href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&pg=PA503&source=gbs_selected_pages&cad=1" >References</a></div><div style="clear:both;"></div></div></div></div><div class=vertical_module_list_row><h3 class=about_title><a name="toc_anchor"></a>Contents</h3><div id=toc class=about_content><div id=toc_v><div class="first_toc_column"><div class="first_toc_pad"><table><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>Part II Introduction to Geometry</span></span></div></td><td class="toc_number" align=right>250</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><a class="primary" href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&pg=PA503&source=gbs_toc_r&cad=2" ><span title="References" style="white-space:nowrap"><span dir=ltr>References</span></span></a></div></td><td class="toc_number" align=right>503</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr></table></div></div><div class="second_toc_column"><div class="second_toc_pad"><table><tr><td class="toc_entry"><div class="toc_entry"><a class="primary" href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&pg=PA507&source=gbs_toc_r&cad=2" ><span title="Index" style="white-space:nowrap"><span dir=ltr>Index</span></span></a></div></td><td class="toc_number" align=right>507</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><a class="primary" href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&printsec=copyright" ><span title="Copyright" style="white-space:nowrap"><span dir=ltr>Copyright</span></span></a></div></td><td class="toc_number" align=right></td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr></table></div></div><br style="clear:both;"/></div><div style="clear:left; height:1em"></div></div></div><div class=vertical_module_list_row><h3 class=about_title><a name="book_other_versions_anchor"></a>Other editions - <a href='https://books.google.com.sg/books?q=editions:ISBN3642144411&id=zXwQGo8jyHUC'>View all</a></h3><div id=book_other_versions class=about_content><div id=book_other_versions_v><div class="one-third-column"><div class="crsiwrapper"><table class="rsi" cellspacing=0 cellpadding=0 border=0><tr><td class="coverdstd" align="center"><a href="https://books.google.com.sg/books?id=-k3frQEACAAJ&source=gbs_book_other_versions_r&cad=3" ><img alt="" class="coverthumb hover-card-attach-point" src="https://books.google.com.sg/books/content?id=-k3frQEACAAJ&printsec=frontcover&img=1&zoom=5" border="0" height="80"></a></td><td valign=top><div class=resbdy><a class="primary cresbdy" href="https://books.google.com.sg/books?id=-k3frQEACAAJ&source=gbs_book_other_versions_r&cad=3"><span dir=ltr>Geometry: Our Cultural Heritage</span></a><br><span style="line-height: 1.3em; font-size:-1;"><span><a href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=inauthor:%22Audun+Holme%22" class="secondary"><span dir=ltr>Audun Holme</span></a></span><br/><span><span style="color:#999">No preview available</span> - 2014</span><br/></span></div></td><td align=right></td></tr></table></div></div><div class="one-third-column"><div class="crsiwrapper"><table class="rsi" cellspacing=0 cellpadding=0 border=0><tr><td class="coverdstd" align="center"><a href="https://books.google.com.sg/books?id=J2elDAEACAAJ&source=gbs_book_other_versions_r&cad=3" ><img alt="" class="coverthumb hover-card-attach-point" src="https://books.google.com.sg/books/content?id=J2elDAEACAAJ&printsec=frontcover&img=1&zoom=5" border="0" height="80"></a></td><td valign=top><div class=resbdy><a class="primary cresbdy" href="https://books.google.com.sg/books?id=J2elDAEACAAJ&source=gbs_book_other_versions_r&cad=3"><span dir=ltr>Geometry: Our Cultural Heritage</span></a><br><span style="line-height: 1.3em; font-size:-1;"><span><a href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=inauthor:%22Audun+Holme%22" class="secondary"><span dir=ltr>Audun Holme</span></a></span><br/><span><span style="color:#999">No preview available</span> - 2010</span><br/></span></div></td><td align=right></td></tr></table></div></div><div class="one-third-column"><div class="crsiwrapper"><table class="rsi" cellspacing=0 cellpadding=0 border=0><tr><td class="coverdstd" align="center"><a href="https://books.google.com.sg/books?id=biP9vQAACAAJ&source=gbs_book_other_versions_r&cad=3" ><img alt="" class="coverthumb hover-card-attach-point" src="https://books.google.com.sg/books/content?id=biP9vQAACAAJ&printsec=frontcover&img=1&zoom=5" border="0" height="80"></a></td><td valign=top><div class=resbdy><a class="primary cresbdy" href="https://books.google.com.sg/books?id=biP9vQAACAAJ&source=gbs_book_other_versions_r&cad=3"><span dir=ltr>Geometry: Our Cultural Heritage</span></a><br><span style="line-height: 1.3em; font-size:-1;"><span><a href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=inauthor:%22Audun+Holme%22" class="secondary"><span dir=ltr>Audun Holme</span></a></span><br/><span><span style="color:#999">No preview available</span> - 2011</span><br/></span></div></td><td align=right></td></tr></table></div></div><script>(function () {var fn = window['_OC_WSBookList'] || window['_OC_BookList'];fn && fn('book_other_versions', [{"title":"Geometry","authors":"Audun Holme","bib_key":"ISBN:3642423922","pub_date":"28 Nov 2014","snippet":"This is a revised edition of the ?rst printing which appeared in 2002. The book is based on lectures at the University of Bergen, Norway.Over the years these lectures have ...","subject":"Mathematics","info_url":"https://books.google.com.sg/books?id=-k3frQEACAAJ\u0026source=gbs_book_other_versions","preview_url":"https://books.google.com.sg/books?id=-k3frQEACAAJ\u0026source=gbs_book_other_versions","thumbnail_url":"https://books.google.com.sg/books/content?id=-k3frQEACAAJ\u0026printsec=frontcover\u0026img=1\u0026zoom=1","num_pages":0,"viewability":4,"preview":"noview","embeddable":false,"my_ebooks_url":"https://www.google.com/accounts/Login?service=print\u0026continue=https://books.google.com.sg/books%3Fas_coll%3D7\u0026hl=en","can_download_pdf":false,"can_download_epub":false,"is_pdf_drm_enabled":false,"is_epub_drm_enabled":false,"subtitle":"Our Cultural Heritage"},{"title":"Geometry","authors":"Audun Holme","bib_key":"ISBN:3642144403","pub_date":"27 Sept 2010","snippet":"This is a revised edition of the ?rst printing which appeared in 2002. 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The book is based on lectures at the University of Bergen, Norway.Over the years these lectures have ...","subject":"Mathematics","info_url":"https://books.google.com.sg/books?id=biP9vQAACAAJ\u0026source=gbs_book_other_versions","preview_url":"https://books.google.com.sg/books?id=biP9vQAACAAJ\u0026source=gbs_book_other_versions","thumbnail_url":"https://books.google.com.sg/books/content?id=biP9vQAACAAJ\u0026printsec=frontcover\u0026img=1\u0026zoom=1","num_pages":519,"viewability":4,"preview":"noview","embeddable":false,"my_ebooks_url":"https://www.google.com/accounts/Login?service=print\u0026continue=https://books.google.com.sg/books%3Fas_coll%3D7\u0026hl=en","can_download_pdf":false,"can_download_epub":false,"is_pdf_drm_enabled":false,"is_epub_drm_enabled":false,"subtitle":"Our Cultural Heritage"}]);})();</script></div></div></div><div class=vertical_module_list_row><h3 class=about_title><a name="word_cloud_anchor"></a>Common terms and phrases</h3><div id=word_cloud class=about_content><div id=word_cloud_v><style type="text/css">.cloud9 {color: #7777cc;font-size: 10px;}.cloud8 {color: #6963CC;font-size: 10.5px;}.cloud7 {color: #6057CC;font-size: 11px;}.cloud6 {color: #574BCC;font-size: 11.5px;}.cloud5 {color: #4E3DCC;font-size: 12px;}.cloud4 {color: #4632CC;font-size: 14px;}.cloud3 {color: #3D26CC;font-size: 16px;}.cloud2 {color: #341ACC;font-size: 18px;}.cloud1 {color: #2B0DCC;font-size: 20px;}.cloud0 {color: #2200CC;font-size: 22px;}.cloud {margin-top: 4px;line-height: 24px;}.cloud a {margin-right: 6px;text-decoration: none;}.cloud a:hover {text-decoration: underline;}</style><div class=cloud><a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=affine+curve&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>affine curve</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=affine+restriction&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>affine restriction</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=al-Khwarizmi&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>al-Khwarizmi</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Alexandria&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>Alexandria</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=algebraic&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>algebraic</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=angle&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>angle</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Arabic&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>Arabic</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Archimedes&source=gbs_word_cloud_r&cad=4" class="cloud1"><span dir=ltr>Archimedes</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Archytas&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>Archytas</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=assume&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>assume</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=axes&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>axes</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=axioms&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>axioms</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Babylonians&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>Babylonians</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Caesar&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>Caesar</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=circle&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>circle</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=coefficients&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>coefficients</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=compass&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>compass</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=compass+and+straightedge&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>compass and straightedge</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=compute&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>compute</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=conchoid&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>conchoid</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=cone&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>cone</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=conic+section&source=gbs_word_cloud_r&cad=4" class="cloud0"><span dir=ltr>conic section</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=construction&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>construction</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=coordinate+system&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>coordinate system</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=cube&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>cube</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=cubic&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>cubic</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=defined&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>defined</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=definition&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>definition</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=denote&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>denote</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=distance&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>distance</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Doubling+the+Cube&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>Doubling the Cube</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=elements&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>elements</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=ellipse&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>ellipse</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=emperor&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>emperor</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Empire&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>Empire</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=equal&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>equal</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=equation&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>equation</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=equivalent&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>equivalent</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Euclid&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>Euclid</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Exercise&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>Exercise</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=formula&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>formula</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=geometry&source=gbs_word_cloud_r&cad=4" class="cloud0"><span dir=ltr>geometry</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=given&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>given</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Greek+geometers&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>Greek geometers</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=hyperbola&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>hyperbola</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=integers&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>integers</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=line+segments&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>line segments</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Marius&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>Marius</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=mathematician&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>mathematician</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=mathematics&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>mathematics</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=multiplicity&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>multiplicity</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=non-degenerate&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>non-degenerate</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=notation&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>notation</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=origin&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>origin</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=P%C2%B2(R&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>P虏(R</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=parabola&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>parabola</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Plimpton+322&source=gbs_word_cloud_r&cad=4" class="cloud1"><span dir=ltr>Plimpton 322</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=points+at+infinity&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>points at infinity</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=polyhedra&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>polyhedra</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=polyhedron&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>polyhedron</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=polynomial&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>polynomial</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Postulate&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>Postulate</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=problem&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>problem</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=projective+closure&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>projective closure</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=projective+plane&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>projective plane</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=proof&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>proof</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Proposition&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>Proposition</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=prove&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>prove</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Pythagoras&source=gbs_word_cloud_r&cad=4" class="cloud1"><span dir=ltr>Pythagoras</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Pythagorean&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>Pythagorean</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Pythagorean+Theorem&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>Pythagorean Theorem</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Pythagorean+triples&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>Pythagorean triples</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=radius&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>radius</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=real+numbers&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>real numbers</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=referred&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>referred</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=regular&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>regular</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Roman&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>Roman</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Rome&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>Rome</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=root&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>root</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=rotation&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>rotation</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Sect&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>Sect</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=sexagesimal&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>sexagesimal</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=shown+in+Fig&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>shown in Fig</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=side&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>side</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=singular+point&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>singular point</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=solution&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>solution</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=sphere&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>sphere</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=square&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>square</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=straight+line&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>straight line</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=straightedge&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>straightedge</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=subset&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>subset</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=surface&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>surface</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=symmetry+type&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>symmetry type</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=tablet&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>tablet</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=tangent&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>tangent</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=tessellation&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>tessellation</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=Theorem&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>Theorem</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=theory&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>theory</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=transformation&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>transformation</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=translation&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>translation</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=triangle&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>triangle</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=trisection&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>trisection</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=wallpaper+groups&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>wallpaper groups</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=yields&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>yields</span></a> <a href="https://books.google.com.sg/books?id=zXwQGo8jyHUC&q=zero&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>zero</span></a></div></div></div></div><div class=vertical_module_list_row><h3 class="about_title">Bibliographic information</h3><div class="about_content" id="metadata_content" style="padding-bottom:.3em"><div class="metadata_sectionwrap"><table id="metadata_content_table"><tr class="metadata_row"><td class="metadata_label">Title</td><td class="metadata_value"><span dir=ltr>Geometry: Our Cultural Heritage</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Author</span></td><td class="metadata_value"><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=inauthor:%22Audun+Holme%22&source=gbs_metadata_r&cad=5"><span dir=ltr>Audun Holme</span></a></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Edition</span></td><td class="metadata_value"><span dir=ltr>2, illustrated</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Publisher</span></td><td class="metadata_value"><span dir=ltr>Springer Science & Business Media, 2010</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>ISBN</span></td><td class="metadata_value"><span dir=ltr>3642144411, 9783642144417</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Length</span></td><td class="metadata_value"><span dir=ltr>519 pages</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Subjects</span></td><td class="metadata_value"><div style="display:inline" itemscope itemtype="http://data-vocabulary.org/Breadcrumb"><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics%22" itemprop="url" dir=ltr><span itemprop="title">Mathematics</span></a></div> › <div style="display:inline" itemscope itemtype="http://data-vocabulary.org/Breadcrumb"><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics+Geometry%22" itemprop="url" dir=ltr><span itemprop="title">Geometry</span></a></div> › <div style="display:inline" itemscope itemtype="http://data-vocabulary.org/Breadcrumb"><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics+Geometry+General%22" itemprop="url" dir=ltr><span itemprop="title">General</span></a></div><br><br><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Computers+/+Data+Science+/+General%22&source=gbs_metadata_r&cad=5"><span dir=ltr>Computers / Data Science / General</span></a><br/><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics+/+Discrete+Mathematics%22&source=gbs_metadata_r&cad=5"><span dir=ltr>Mathematics / Discrete Mathematics</span></a><br/><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics+/+General%22&source=gbs_metadata_r&cad=5"><span dir=ltr>Mathematics / General</span></a><br/><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Mathematics+/+Geometry+/+General%22&source=gbs_metadata_r&cad=5"><span dir=ltr>Mathematics / Geometry / General</span></a><br/><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Science+/+Physics+/+Mathematical+%26+Computational%22&source=gbs_metadata_r&cad=5"><span dir=ltr>Science / Physics / Mathematical & Computational</span></a></td></tr><tr class="metadata_row"><td>&nbsp</td><td>&nbsp</td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Export Citation</span></td><td class="metadata_value"><a class="gb-button " href="https://books.google.com.sg/books/download/Geometry.bibtex?id=zXwQGo8jyHUC&output=bibtex"><span dir=ltr>BiBTeX</span></a> <a class="gb-button " href="https://books.google.com.sg/books/download/Geometry.enw?id=zXwQGo8jyHUC&output=enw"><span dir=ltr>EndNote</span></a> <a class="gb-button " href="https://books.google.com.sg/books/download/Geometry.ris?id=zXwQGo8jyHUC&output=ris"><span dir=ltr>RefMan</span></a></td></tr></table></div><div style="clear:both"></div></div></div><script>_OC_addFlags({Host:"https://books.google.com.sg/", IsZipitFolderCollectionEnabled:1, IsBrowsingHistoryEnabled:1, IsBooksRentalEnabled:1, 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