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<!DOCTYPE html><html><head><title>Elementary Geometry from an Advanced Standpoint - Edwin E. Moise - Google Books</title><link rel="stylesheet" href="/books/css/_a33f2a89320471e58c940b9287b9d4eb/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_a33f2a89320471e58c940b9287b9d4eb__en.js"></script><link rel="canonical" href="https://books.google.com/books/about/Elementary_Geometry_from_an_Advanced_Sta.html?id=3UjvAAAAMAAJ"/><meta property="og:url" content="https://books.google.com/books/about/Elementary_Geometry_from_an_Advanced_Sta.html?id=3UjvAAAAMAAJ"/><meta name="title" content="Elementary Geometry from an Advanced Standpoint"/><meta name="description" content="Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example, an advanced class may progress rapidly through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. 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Moise</span></a></div><div><span dir=ltr>Addison-Wesley</span>, 1990 - <a class="secondary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Business+%26+Economics%22&source=gbs_ge_summary_r&cad=0"><span dir=ltr>Business & Economics</span></a> - <span dir=ltr>502 pages</span></div></div><div id=synopsis><div id=synopsis-window><div id=synopsistext dir=ltr class="sa">Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example, an advanced class may progress rapidly through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. Similarly, a less advanced class may go carefully through Chapters 1-7, and omit some of the more difficult chapters, such as 20 and 24.</div></div></div><div class="search_box_wrapper"></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="search_anchor"></a>From inside the book</h3><div id=search class=about_content><form action=/books?source=gbs_search_r&cad=1 id=search_form method=get> <input type=hidden name="redir_esc" value="y"><input type=hidden name="id" value="3UjvAAAAMAAJ"><input type="hidden" name="focus" value="searchwithinvolume"><input id=search_form_input type=text maxlength=1024 name=q value="Birkhoff" title="Search" accesskey="i" aria-label="Search in this book" style="width:160px"><script type="text/javascript">if (window['_OC_autoDir']) {_OC_autoDir('search_form_input');}</script> <input type=submit value="Search"></form><div id=search_v><p align=left class="sitb-info">7 pages matching <b>Birkhoff</b> in this book</p><p align=left class="sitb-info"><a target="_parent" class="secondary" href="https://books.google.com.sg/support/answer/43729?topic=9259&hl=en">Where's the rest of this book?</a></p><div id="searchwithinvolume" tabindex="0"><p align=left class="sitb-info">Results 1-3 of 7</p></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">1 </span></div></td><td class="toc_number" align=right>1</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>Distance and Congruence </span></span></div></td><td class="toc_number" align=right>48</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"><span style="white-space:nowrap"><span dir=ltr>Separation in Planes and Space </span></span></div></td><td class="toc_number" align=right>72</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr><tr><td class="toc_entry"><div class="toc_entry"><span style="white-space:nowrap"><span dir=ltr>Copyright</span></span></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;"/>24 other sections not shown</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:ISBN0201508672&id=3UjvAAAAMAAJ'>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=7nUNAQAAIAAJ&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=7nUNAQAAIAAJ&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=7nUNAQAAIAAJ&q=Birkhoff&source=gbs_book_other_versions_r&cad=3"><span dir=ltr>Elementary Geometry from an Advanced Standpoint</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:%22Edwin+E.+Moise%22" class="secondary"><span dir=ltr>Edwin E. Moise</span></a></span><br/><span><span style="color:#999">Snippet view</span> - 1963</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=EY7QAAAAMAAJ&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=EY7QAAAAMAAJ&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=EY7QAAAAMAAJ&q=Birkhoff&source=gbs_book_other_versions_r&cad=3"><span dir=ltr>Elementary Geometry from an Advanced Standpoint</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:%22Edwin+E.+Moise%22" class="secondary"><span dir=ltr>Edwin E. Moise</span></a></span><br/><span><span style="color:#999">Snippet view</span> - 1963</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=S0nvAAAAMAAJ&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=S0nvAAAAMAAJ&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=S0nvAAAAMAAJ&q=Birkhoff&source=gbs_book_other_versions_r&cad=3"><span dir=ltr>Elementary Geometry from an Advanced Standpoint</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:%22Edwin+E.+Moise%22" class="secondary"><span dir=ltr>Edwin E. Moise</span></a></span><br/><span><span style="color:#999">Snippet view</span> - 1974</span><br/></span></div></td><td align=right></td></tr></table></div></div><div style="clear:both"></div><div class="showall"><a class="secondary" href="https://books.google.com.sg/books?q=editions:ISBN0201508672&id=3UjvAAAAMAAJ&source=gbs_book_other_versions_r&cad=3">View all »</a></div><script>(function () {var fn = window['_OC_WSBookList'] || window['_OC_BookList'];fn && fn('book_other_versions', [{"title":"Elementary Geometry from an Advanced Standpoint","authors":"Edwin E. 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#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=3UjvAAAAMAAJ&q=a%E2%82%81&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>a₁</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=AABC&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>AABC</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=ABCD&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>ABCD</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=ADEF&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>ADEF</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=algebraic&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>algebraic</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=altitude&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>altitude</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=angles+are+congruent&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>angles are congruent</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=b%E2%82%81&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>b₁</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=base&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>base</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=belongs&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>belongs</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=bisector&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>bisector</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=called&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>called</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=Chapter&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>Chapter</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&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=3UjvAAAAMAAJ&q=circular+sector&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>circular sector</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=congruent&source=gbs_word_cloud_r&cad=4" class="cloud1"><span dir=ltr>congruent</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=contains&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>contains</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=convex&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>convex</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=convex+polygonal&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>convex polygonal</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=convex+set&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>convex set</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&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=3UjvAAAAMAAJ&q=defined&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>defined</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=definition&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>definition</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=dihedral+angle&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>dihedral angle</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=distance&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>distance</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=element&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>element</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=equation&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>equation</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=Euclid&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>Euclid</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=Euclidean&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>Euclidean</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=Euclidean+geometry&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>Euclidean geometry</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=exactly&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>exactly</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=exterior+angle+theorem&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>exterior angle theorem</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=Figure&source=gbs_word_cloud_r&cad=4" class="cloud0"><span dir=ltr>Figure</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=finite&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>finite</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=following+theorem&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>following theorem</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=formula+area&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>formula area</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=function&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>function</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=geometry&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>geometry</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=graph&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>graph</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=H%E2%82%81&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>H₁</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=H%E2%82%82&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>H₂</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=half+planes&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>half planes</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=hyperbolic+geometry&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>hyperbolic geometry</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=interior&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>interior</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=intersects&source=gbs_word_cloud_r&cad=4" class="cloud1"><span dir=ltr>intersects</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=isometry&source=gbs_word_cloud_r&cad=4" class="cloud0"><span dir=ltr>isometry</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=K%E2%82%81&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>K₁</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=K%E2%82%82&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>K₂</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=L-line&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>L-line</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=LABC&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>LABC</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=LBAC&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>LBAC</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=LEMMA&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>LEMMA</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=length&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>length</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=Let+f&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>Let f</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=M%E2%82%81&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>M₁</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=M%E2%82%82&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>M₂</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=mathematics&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>mathematics</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=means&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>means</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=measure&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>measure</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=opposite+sides&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>opposite sides</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=ordered+field&source=gbs_word_cloud_r&cad=4" class="cloud1"><span dir=ltr>ordered field</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=P%E2%82%81&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>P₁</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=pair&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>pair</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=parallel+postulate&source=gbs_word_cloud_r&cad=4" class="cloud0"><span dir=ltr>parallel postulate</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=perpendicular&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>perpendicular</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=polygonal+region&source=gbs_word_cloud_r&cad=4" class="cloud0"><span dir=ltr>polygonal region</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=polynomial&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>polynomial</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=positive+integers&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>positive integers</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=positive+number&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>positive number</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=Problem+Set&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>Problem Set</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=PROOF&source=gbs_word_cloud_r&cad=4" class="cloud0"><span dir=ltr>PROOF</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=proved&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>proved</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&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=3UjvAAAAMAAJ&q=R%E2%82%81&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>R₁</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=R%E2%82%82&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>R₂</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=radius&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>radius</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=rational+numbers&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>rational numbers</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=real+number+system&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>real number system</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=right+angle&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>right angle</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&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=3UjvAAAAMAAJ&q=ruler+postulate&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>ruler postulate</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=Saccheri+quadrilateral&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>Saccheri quadrilateral</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=satisfies&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>satisfies</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=Section&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>Section</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=segment&source=gbs_word_cloud_r&cad=4" class="cloud1"><span dir=ltr>segment</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=sequence&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>sequence</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=Suppose&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>Suppose</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=surd&source=gbs_word_cloud_r&cad=4" class="cloud1"><span dir=ltr>surd</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=triangular+regions&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>triangular regions</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=upper+bound&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>upper bound</span></a> <a href="https://books.google.com.sg/books?id=3UjvAAAAMAAJ&q=vertices&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>vertices</span></a></div></div></div></div><div class=vertical_module_list_row><h3 class=about_title><a name="about_author_anchor"></a>About the author <span style="color:#666; font-weight:normal">(1990)</span></h3><div id=about_author class=about_content><div id=about_author_v><div class=textmodulecontent>Edwin E. Moise is Professor of History, Clemson University. </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>Elementary Geometry from an Advanced Standpoint</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:%22Edwin+E.+Moise%22&source=gbs_metadata_r&cad=6"><span dir=ltr>Edwin E. Moise</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>3, 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>Addison-Wesley, 1990</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Original from</span></td><td class="metadata_value"><span dir=ltr>the University of Michigan</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Digitized</span></td><td class="metadata_value"><span dir=ltr>5 Feb 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>0201508672, 9780201508673</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Length</span></td><td class="metadata_value"><span dir=ltr>502 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:%22Computers%22" itemprop="url" dir=ltr><span itemprop="title">Computers</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:%22Computers+Software+Development+%26+Engineering%22" itemprop="url" dir=ltr><span itemprop="title">Software Development & Engineering</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:%22Computers+Software+Development+%26+Engineering+Systems+Analysis+%26+Design%22" itemprop="url" dir=ltr><span itemprop="title">Systems Analysis & Design</span></a></div><br><br><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Business+%26+Economics+/+Strategic+Planning%22&source=gbs_metadata_r&cad=6"><span dir=ltr>Business & Economics / Strategic Planning</span></a><br/><a class="primary" href="https://www.google.com.sg/search?tbo=p&tbm=bks&q=subject:%22Computers+/+Software+Development+%26+Engineering+/+Systems+Analysis+%26+Design%22&source=gbs_metadata_r&cad=6"><span dir=ltr>Computers / Software Development & Engineering / Systems Analysis & Design</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=6"><span dir=ltr>Mathematics / Geometry / General</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/Elementary_Geometry_from_an_Advanced_Sta.bibtex?id=3UjvAAAAMAAJ&output=bibtex"><span dir=ltr>BiBTeX</span></a> <a class="gb-button " href="https://books.google.com.sg/books/download/Elementary_Geometry_from_an_Advanced_Sta.enw?id=3UjvAAAAMAAJ&output=enw"><span dir=ltr>EndNote</span></a> <a class="gb-button " href="https://books.google.com.sg/books/download/Elementary_Geometry_from_an_Advanced_Sta.ris?id=3UjvAAAAMAAJ&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/", IsBooksUnifiedLeftNavEnabled:1, IsZipitFolderCollectionEnabled:1, IsBrowsingHistoryEnabled:1, IsBooksRentalEnabled:1});_OC_Run({"is_cobrand":false,"sign_in_url":"https://www.google.com/accounts/Login?service=print\u0026continue=https://books.google.com.sg/books%3Fid%3D3UjvAAAAMAAJ%26q%3DBirkhoff%26redir_esc%3Dy%26hl%3Den\u0026hl=en"}, {"volume_id":"3UjvAAAAMAAJ","is_ebook":false,"volumeresult":{"has_flowing_text":false,"has_scanned_text":false,"can_download_pdf":false,"can_download_epub":false,"is_pdf_drm_enabled":false,"is_epub_drm_enabled":false},"sample_url":"https://play.google.com/books/reader?id=3UjvAAAAMAAJ\u0026source=gbs_atb_hover","is_browsable":false,"is_public_domain":false}, {});</script><div id="footer_table" style="font-size:83%;text-align:center;position:relative;top:20px;height:4.5em;margin-top:2em"><div style="margin-bottom:8px"><a href="/intl/en/googlebooks/about.html"><nobr><nobr>About Google Books</nobr></nobr></a> - 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