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Mathematical Theories of Planetary Motions - Otto Dziobek - Google Books
<!DOCTYPE html><html><head><title>Mathematical Theories of Planetary Motions - Otto Dziobek - Google Books</title><link rel="stylesheet" href="/books/css/_ff77d0f0508c7e0bad470e7d6b7f28fa/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_ff77d0f0508c7e0bad470e7d6b7f28fa__en.js"></script><link rel="canonical" href="https://books.google.com/books/about/Mathematical_Theories_of_Planetary_Motio.html?id=O9RNAAAAMAAJ"/><meta property="og:url" content="https://books.google.com/books/about/Mathematical_Theories_of_Planetary_Motio.html?id=O9RNAAAAMAAJ"/><meta name="title" content="Mathematical Theories of Planetary Motions"/><meta name="description" content=""/><meta property="og:title" content="Mathematical Theories of Planetary Motions"/><meta property="og:type" content="book"/><meta property="og:site_name" content="Google Books"/><meta property="og:image" content="https://books.google.com.sg/books/content?id=O9RNAAAAMAAJ&printsec=frontcover&img=1&zoom=1&edge=curl&imgtk=AFLRE705m2ht_VsNzZM_S7LeF37PI1wGJrV6Z-77ALt9shceWTajESneEN6W21l61TWVjJGTegOc4yHRhEkNEAtWbESnExrRgfKprH_vKg3CSs_WuRC88QLNkgMxiYEc3Oig74UTQ2CX"/><link rel="image_src" href="https://books.google.com.sg/books/content?id=O9RNAAAAMAAJ&printsec=frontcover&img=1&zoom=1&edge=curl&imgtk=AFLRE705m2ht_VsNzZM_S7LeF37PI1wGJrV6Z-77ALt9shceWTajESneEN6W21l61TWVjJGTegOc4yHRhEkNEAtWbESnExrRgfKprH_vKg3CSs_WuRC88QLNkgMxiYEc3Oig74UTQ2CX"/><script></script><style>#gbar,#guser{font-size:13px;padding-top:1px !important;}#gbar{height:22px}#guser{padding-bottom:7px !important;text-align:right}.gbh,.gbd{border-top:1px solid #c9d7f1;font-size:1px}.gbh{height:0;position:absolute;top:24px;width:100%}@media all{.gb1{height:22px;margin-right:.5em;vertical-align:top}#gbar{float:left}}a.gb1,a.gb4{text-decoration:underline !important}a.gb1,a.gb4{color:#00c !important}.gbi .gb4{color:#dd8e27 !important}.gbf .gb4{color:#900 !important} #gbar { padding:.3em .6em !important;}</style></head><body class=""><div id=gbar><nobr><a target=_blank class=gb1 href="https://www.google.com.sg/search?tab=pw">Search</a> <a target=_blank class=gb1 href="https://www.google.com.sg/imghp?hl=en&tab=pi">Images</a> <a target=_blank class=gb1 href="https://maps.google.com.sg/maps?hl=en&tab=pl">Maps</a> <a target=_blank class=gb1 href="https://play.google.com/?hl=en&tab=p8">Play</a> <a target=_blank class=gb1 href="https://www.youtube.com/?tab=p1">YouTube</a> <a target=_blank class=gb1 href="https://news.google.com/?tab=pn">News</a> <a target=_blank class=gb1 href="https://mail.google.com/mail/?tab=pm">Gmail</a> <a target=_blank class=gb1 href="https://drive.google.com/?tab=po">Drive</a> <a target=_blank class=gb1 style="text-decoration:none" href="https://www.google.com.sg/intl/en/about/products?tab=ph"><u>More</u> »</a></nobr></div><div id=guser width=100%><nobr><span id=gbn class=gbi></span><span id=gbf class=gbf></span><span id=gbe></span><a target=_top id=gb_70 href="https://www.google.com/accounts/Login?service=print&continue=https://books.google.com.sg/books%3Fid%3DO9RNAAAAMAAJ%26dq%3Ddziobek%2Bmathematical%26source%3Dgbs_navlinks_s%26hl%3Den&hl=en&ec=GAZACg" class=gb4>Sign in</a></nobr></div><div class=gbh style=left:0></div><div class=gbh style=right:0></div><div role="alert" style="position: absolute; left: 0; right: 0;"><a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&dq=dziobek+mathematical&source=gbs_navlinks_s&hl=en&output=html_text" title="Screen reader users: click this link for accessible mode. 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class="selectedpagesthumbnail"><a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PP7&dq=dziobek+mathematical&source=gbs_selected_pages&cad=1" ><img src="https://books.google.com.sg/books/content?id=O9RNAAAAMAAJ&pg=PP7&img=1&zoom=1&sig=ACfU3U2ohxjPQ7RG8X7MUV7tD1UNsFJoHQ" alt="Title Page" title="Title Page" height="160" border="1"></a><br/><a class="primary" href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PP7&dq=dziobek+mathematical&source=gbs_selected_pages&cad=1" >Title Page</a></div><div class="selectedpagesthumbnail"><a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PP11&dq=dziobek+mathematical&source=gbs_selected_pages&cad=1" ><img src="https://books.google.com.sg/books/content?id=O9RNAAAAMAAJ&pg=PP11&img=1&zoom=1&sig=ACfU3U12iwd-Oo7gheM63cnJy3Lvnm4mkQ" 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=O9RNAAAAMAAJ&pg=PP11&dq=dziobek+mathematical&source=gbs_selected_pages&cad=1" >Table of Contents</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"><a class="primary" href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PA1&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="FIRST DIVISION " style="white-space:nowrap"><span dir=ltr>FIRST DIVISION </span></span></a></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"><a class="primary" href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PA12&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Elliptic Parabolic and Hyperbolic Orbits " style="white-space:nowrap"><span dir=ltr>Elliptic Parabolic and Hyperbolic Orbits </span></span></a></div></td><td class="toc_number" align=right>12</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=O9RNAAAAMAAJ&pg=PA23&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Solution of Keplers Equation Development of the Coordi " style="white-space:nowrap"><span dir=ltr>Solution of Keplers Equation Development of the Coordi </span></span></a></div></td><td class="toc_number" align=right>23</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=O9RNAAAAMAAJ&pg=PA37&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Historical Notes on the Preceding Sections " style="white-space:nowrap"><span dir=ltr>Historical Notes on the Preceding Sections </span></span></a></div></td><td class="toc_number" align=right>37</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=O9RNAAAAMAAJ&pg=PA77&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="SECOND DIVISION " style="white-space:nowrap"><span dir=ltr>SECOND DIVISION </span></span></a></div></td><td class="toc_number" align=right>77</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=O9RNAAAAMAAJ&pg=PA95&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Poissons and Lagranges Formulas " style="white-space:nowrap"><span dir=ltr>Poissons and Lagranges Formulas </span></span></a></div></td><td class="toc_number" align=right>95</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=O9RNAAAAMAAJ&pg=PA104&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="The Canonical Constants for the Elliptic Elements of the Orbit " style="white-space:nowrap"><span dir=ltr>The Canonical Constants for the Elliptic Elements of the Orbit </span></span></a></div></td><td class="toc_number" align=right>104</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=O9RNAAAAMAAJ&pg=PA113&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Properties of the Involution Systems " style="white-space:nowrap"><span dir=ltr>Properties of the Involution Systems </span></span></a></div></td><td class="toc_number" align=right>113</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=O9RNAAAAMAAJ&pg=PA167&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Analytical Development of the Perturbing Function " style="white-space:nowrap"><span dir=ltr>Analytical Development of the Perturbing Function </span></span></a></div></td><td class="toc_number" align=right>167</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=O9RNAAAAMAAJ&pg=PA186&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="The Development of a₁22α₁ α½ cos d+a2² in a Trigono " style="white-space:nowrap"><span dir=ltr>The Development of a₁22α₁ α½ cos d+a2² in a Trigono </span></span></a></div></td><td class="toc_number" align=right>186</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=O9RNAAAAMAAJ&pg=PA196&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="The Analytical Expressions for the Perturbations " style="white-space:nowrap"><span dir=ltr>The Analytical Expressions for the Perturbations </span></span></a></div></td><td class="toc_number" align=right>196</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=O9RNAAAAMAAJ&pg=PA203&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="The Variation of Elements " style="white-space:nowrap"><span dir=ltr>The Variation of Elements </span></span></a></div></td><td class="toc_number" align=right>203</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=O9RNAAAAMAAJ&pg=PA209&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Approximate Integration of the Differential Equations for " style="white-space:nowrap"><span dir=ltr>Approximate Integration of the Differential Equations for </span></span></a></div></td><td class="toc_number" align=right>209</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=O9RNAAAAMAAJ&pg=PA227&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="The Secular Variations of the Mean Longitude " style="white-space:nowrap"><span dir=ltr>The Secular Variations of the Mean Longitude </span></span></a></div></td><td class="toc_number" align=right>227</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=O9RNAAAAMAAJ&pg=PA233&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="The Stability of the Solar System " style="white-space:nowrap"><span dir=ltr>The Stability of the Solar System </span></span></a></div></td><td class="toc_number" align=right>233</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=O9RNAAAAMAAJ&pg=PA241&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Terms of Long Period and the Cemmensurability of the Peri " style="white-space:nowrap"><span dir=ltr>Terms of Long Period and the Cemmensurability of the Peri </span></span></a></div></td><td class="toc_number" align=right>241</td></tr><tr><td class="toc_border"> </td><td class="toc_border"></td></tr></table></div></div><br style="clear:both;"/></div><span onclick="_OC_setListSectionVisible('toc_h', 1)" class=morelesslink id=toc_hc0 style="display:none"><br>More</span><div id=toc_hd1><div class="first_toc_column"><div class="first_toc_pad"><table><tr><td class="toc_entry"><div class="toc_entry"><a class="primary" href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PA120&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="The Partial Differential Equation of Hamilton and Jacobi " style="white-space:nowrap"><span dir=ltr>The Partial Differential Equation of Hamilton and Jacobi </span></span></a></div></td><td class="toc_number" align=right>120</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=O9RNAAAAMAAJ&pg=PA132&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="The Partial Differential Equation of Hamilton and Jacobi " style="white-space:nowrap"><span dir=ltr>The Partial Differential Equation of Hamilton and Jacobi </span></span></a></div></td><td class="toc_number" align=right>132</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=O9RNAAAAMAAJ&pg=PA140&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Historical Survey for the Second Division " style="white-space:nowrap"><span dir=ltr>Historical Survey for the Second Division </span></span></a></div></td><td class="toc_number" align=right>140</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=O9RNAAAAMAAJ&pg=PA143&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="THEORY OF PERTURBATIONS " style="white-space:nowrap"><span dir=ltr>THEORY OF PERTURBATIONS </span></span></a></div></td><td class="toc_number" align=right>143</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=O9RNAAAAMAAJ&pg=PA153&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Solution of the Differential Equations for the Absolute Pertur " style="white-space:nowrap"><span dir=ltr>Solution of the Differential Equations for the Absolute Pertur </span></span></a></div></td><td class="toc_number" align=right>153</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=O9RNAAAAMAAJ&pg=PA161&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Other Formulas of the Absolute Perturbations " style="white-space:nowrap"><span dir=ltr>Other Formulas of the Absolute Perturbations </span></span></a></div></td><td class="toc_number" align=right>161</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=O9RNAAAAMAAJ&pg=PA249&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="The Exactness of the Formulas for the Variation of the Ele " style="white-space:nowrap"><span dir=ltr>The Exactness of the Formulas for the Variation of the Ele </span></span></a></div></td><td class="toc_number" align=right>249</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=O9RNAAAAMAAJ&pg=PA256&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="The Invariability of the Major Axes " style="white-space:nowrap"><span dir=ltr>The Invariability of the Major Axes </span></span></a></div></td><td class="toc_number" align=right>256</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=O9RNAAAAMAAJ&pg=PA262&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="The Form in which the Elements and Coordinates appear " style="white-space:nowrap"><span dir=ltr>The Form in which the Elements and Coordinates appear </span></span></a></div></td><td class="toc_number" align=right>262</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=O9RNAAAAMAAJ&pg=PA278&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Brief Historical Review of the Theories of Perturbations " style="white-space:nowrap"><span dir=ltr>Brief Historical Review of the Theories of Perturbations </span></span></a></div></td><td class="toc_number" align=right>278</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=O9RNAAAAMAAJ&pg=PA290&dq=dziobek+mathematical&source=gbs_toc_r&cad=2" ><span title="Notes on the Tables " style="white-space:nowrap"><span dir=ltr>Notes on the Tables </span></span></a></div></td><td class="toc_number" align=right>290</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=O9RNAAAAMAAJ&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 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border=0><tr><td class="coverdstd" align="center"><a href="https://books.google.com.sg/books?id=nVM3AAAAIAAJ&dq=dziobek+mathematical&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=nVM3AAAAIAAJ&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=nVM3AAAAIAAJ&dq=dziobek+mathematical&source=gbs_book_other_versions_r&cad=3"><span dir=ltr>Mathematical Theories of Planetary Motions</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:%22Otto+Dziobek%22" class="secondary"><span dir=ltr>Otto Dziobek</span></a></span><br/><span><span style="color:#999">Snippet view</span> - 1962</span><br/></span></div></td><td align=right></td></tr></table></div></div><div style="clear:both"></div><div 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theory","info_url":"https://books.google.com.sg/books?id=WTEaAAAAYAAJ\u0026dq=dziobek+mathematical\u0026source=gbs_book_other_versions","preview_url":"https://books.google.com.sg/books?id=WTEaAAAAYAAJ\u0026dq=dziobek+mathematical\u0026source=gbs_book_other_versions","thumbnail_url":"https://books.google.com.sg/books/content?id=WTEaAAAAYAAJ\u0026printsec=frontcover\u0026img=1\u0026zoom=1","num_pages":316,"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}]);})();</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=O9RNAAAAMAAJ&q=a%E2%82%81&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud0"><span dir=ltr>a₁</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=a%E2%82%82&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>a₂</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=angle&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>angle</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=appears&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>appears</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=ascending+powers&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>ascending powers</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=b%E2%82%81&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>b₁</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=b%E2%82%82&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>b₂</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=becomes&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>becomes</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=brevity&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>brevity</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=C%E2%82%81&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>C₁</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=C%E2%82%82&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>C₂</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=center+of+gravity&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>center of gravity</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=coefficients&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>coefficients</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=constants+of+integration&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>constants of integration</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=coordinates&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>coordinates</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=d%C2%B2x&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>d²x</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=degree&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>degree</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=derivatives&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>derivatives</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=determined&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>determined</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=distances&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>distances</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=disturbing+masses&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>disturbing masses</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=dt+dt+dt&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>dt dt dt</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=eccentric+anomalies&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>eccentric anomalies</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=eccentricities+and+inclinations&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>eccentricities and inclinations</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=elements&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>elements</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=ellipse&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>ellipse</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=equa&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>equa</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=expressions&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>expressions</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=follows&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>follows</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=formulas&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>formulas</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=given&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>given</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=gives&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>gives</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=h%E2%82%81&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>h₁</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=h%E2%82%82&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>h₂</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=Hence&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>Hence</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=homogeneous+functions&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>homogeneous functions</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=i%E2%82%82&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>i₂</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=invariable+plane&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>invariable plane</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=involution+system&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>involution system</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=kinetic+energy&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>kinetic energy</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=Lagrange&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>Lagrange</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=Laplace&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>Laplace</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=linear&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>linear</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=m%E2%82%81&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>m₁</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=m%E2%82%82&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>m₂</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=major+axis&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>major axis</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=mean+anomaly&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>mean anomaly</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=mean+longitudes&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud9"><span dir=ltr>mean longitudes</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=motion&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>motion</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=n%E2%82%81&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>n₁</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=n%E2%82%82&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>n₂</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=obtained&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>obtained</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=OR%E2%82%81&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>OR₁</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=orbit&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>orbit</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=P%E2%82%81&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>P₁</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=P%E2%82%82&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>P₂</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=partial+differential+equation&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>partial differential equation</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=perihelion&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>perihelion</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=periodic+terms&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>periodic terms</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=perturbing+function&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>perturbing function</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=planet&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud0"><span dir=ltr>planet</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=Poisson%27s&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>Poisson's</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=positive&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>positive</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=problem&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>problem</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=quantities&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>quantities</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=R%E2%82%81&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud3"><span dir=ltr>R₁</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=respect&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>respect</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=second+member&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>second member</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=secular+terms&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>secular terms</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=secular+values&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>secular values</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=solution&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>solution</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=substitution&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>substitution</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=theory&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>theory</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=three+bodies&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>three bodies</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=tion&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>tion</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=transformation&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>transformation</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=vanish&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>vanish</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=variables&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>variables</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=velocity&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>velocity</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=x%E2%82%81&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>x₁</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=Y%E2%82%81&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>Y₁</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=zero&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>zero</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=%CE%B1%E2%82%81&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>α₁</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=%CE%B1%E2%82%82&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>α₂</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=%CE%B8%CE%B1&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>θα</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=%D0%B4%D0%B0%D0%BB&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud6"><span dir=ltr>дал</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=%D0%B4%D0%B0%D0%BC&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>дам</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=%D0%B4%D0%B0%D1%85&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud7"><span dir=ltr>дах</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=%D0%B4%D0%B8&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>ди</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=%D0%B4%D0%BD&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud4"><span dir=ltr>дн</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=%D0%B4%D1%85&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud2"><span dir=ltr>дх</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=%D0%B4%D1%8A&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud8"><span dir=ltr>дъ</span></a> <a href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&q=%E1%8E%A7%E1%8E%A1&dq=dziobek+mathematical&source=gbs_word_cloud_r&cad=4" class="cloud5"><span dir=ltr>ᎧᎡ</span></a></div></div></div></div><div class=vertical_module_list_row><h3 class=about_title><a name="quotes_anchor"></a>Popular passages</h3><div id=quotes class=about_content><div id=quotes_v><div class="quot"><span class="nobr"><a class="primary" href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PA1&vq=%22other+particle+with+a+force+whose+magnitude+is+directly+as+the+product+of+their+masses+and+inversely+as+the+square%22&source=gbs_quotes_r&cad=5" >Page 1</a></span> - <span dir=ltr>Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.</span><div class="qt_aprs"><a class="secondary" href=https://books.google.com.sg/books?id=O9RNAAAAMAAJ&qtid=b47e78c1&dq=dziobek+mathematical&source=gbs_quotes_r&cad=5>Appears in 344 books from 1802-2008</a></div></div><div class="quot"><span class="nobr"><a class="primary" href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PA234&vq=%22Int%C3%A9gration+des+%C3%A9quations+diff%C3%A9rentielles,+dont+d%C3%A9pendent+les+in%C3%A9galit%C3%A9s+s%C3%A9culaires,+en+tenant+compte+des+termes,+qui+sont+du+troisi%C3%A8me+ordre+par%22&source=gbs_quotes_r&cad=5" >Page 234</a></span> - <span dir=ltr>Intégration des équations différentielles dont dépendent les inégalités séculaires, en tenant compte des termes qui sont du troisième ordre par rapport aux excentricités et aux inclinaisons.</span><div class="qt_aprs"><a class="secondary" href=https://books.google.com.sg/books?id=O9RNAAAAMAAJ&qtid=17e7869&dq=dziobek+mathematical&source=gbs_quotes_r&cad=5>Appears in 7 books from 1829-1892</a></div></div></div><span onclick="_OC_setListSectionVisible('quotes_h', 1)" class=morelesslink id=quotes_hc0 style="display:none">More</span><div id=quotes_hd1><div class="quot"><span class="nobr"><a class="primary" href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PA44&vq=%22the+kinetic+energy+of+a+system+of+bodies+is+equal+to+the+kinetic+energy+due+to+the+motion+of%22&source=gbs_quotes_r&cad=5" >Page 44</a></span> - <span dir=ltr>This follows from the well-known dynamical theorem that the total kinetic energy of any moving body or system of bodies is equal to the kinetic energy due to the motion of its centre of inertia, plus the sum of the kinetic energies of the motions of all its parts relative to the centre of inertia. § 16. Suppose now a transparent body — solid, liquid, or gaseous — to consist of an assemblage of atoms all of the same magnitude and quality as our ideal atom defined...</span><div class="qt_aprs"><a class="secondary" href=https://books.google.com.sg/books?id=O9RNAAAAMAAJ&qtid=d7e78e9&dq=dziobek+mathematical&source=gbs_quotes_r&cad=5>Appears in 8 books from 1892-1996</a></div></div><div class="quot"><span class="nobr"><a class="primary" href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PA14&vq=%22of+the+periodic+times+of+the+different+planets+are+as+the+cubes+of+their+mean+distances.%22&source=gbs_quotes_r&cad=5" >Page 14</a></span> - <span dir=ltr>Mundi, published in 1619 : where he established that the squares of the periodic times of the different Planets are as the cubes of their mean distances from the central Sun.</span><div class="qt_aprs"><a class="secondary" href=https://books.google.com.sg/books?id=O9RNAAAAMAAJ&qtid=987e78d5&dq=dziobek+mathematical&source=gbs_quotes_r&cad=5>Appears in 6 books from 1742-1892</a></div></div><div class="quot"><span class="nobr"><a class="primary" href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PA290&vq=%22major+axis+of+the+earth%27s+orbit,+or+the+mean+distance+of+the+earth+from%22&source=gbs_quotes_r&cad=5" >Page 290</a></span> - <span dir=ltr>... axis of the earth's orbit or the mean distance of the earth from the sun, we have: a ^ R sin n _R.*_ 206265" The angle n or the equatoreal horizontal parallax of the sun is according to Encke equal to: 8".</span><div class="qt_aprs"><a class="secondary" href=https://books.google.com.sg/books?id=O9RNAAAAMAAJ&qtid=b67e7821&dq=dziobek+mathematical&source=gbs_quotes_r&cad=5>Appears in 6 books from 1863-2005</a></div></div><div class="quot"><span class="nobr"><a class="primary" href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PA16&vq=%22angle+which+the+plane+of+the+orbit+makes+with+the+plane+of%22&source=gbs_quotes_r&cad=5" >Page 16</a></span> - <span dir=ltr>... is the angular distance of this point from the vernal equinox. The line of intersection of the plane of the orbit with the fundamental plane is called the line of nodes. The angle which the plane of the orbit makes with the plane of the ecliptic, which we will denote by i, is called the inclination of the orbit. It will readily be seen that, if we suppose the plane of the orbit to revolve about the line of nodes, when the angle i exceeds 180°...</span><div class="qt_aprs"><a class="secondary" href=https://books.google.com.sg/books?id=O9RNAAAAMAAJ&qtid=7c7e78d7&dq=dziobek+mathematical&source=gbs_quotes_r&cad=5>Appears in 7 books from 1867-1900</a></div></div><div class="quot"><span class="nobr"><a class="primary" href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PA280&vq=%22who+studies+their+works,+must+feel+that+aside+from+mathematical+considerations,+a+sort+of+metaphysical+idea+directed+these+earliest+explorations%22&source=gbs_quotes_r&cad=5" >Page 280</a></span> - <span dir=ltr>Any one who studies their works, must feel that aside from mathematical considerations, a sort of metaphysical idea directed these earliest explorations which bridged the gap between entire ignorance and complete clearness.</span><div class="qt_aprs"><a class="secondary" href=https://books.google.com.sg/books?id=O9RNAAAAMAAJ&qtid=ff7e781c&dq=dziobek+mathematical&source=gbs_quotes_r&cad=5>Appears in 2 books from 1892-1996</a></div></div><div class="quot"><span class="nobr"><a class="primary" href="https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PA37&vq=%22few+was+attributed+an+extraordinary+degree+of+learning.+This+circumstance,+together+with+the+religious+respect+paid+in+those+days+to%22&source=gbs_quotes_r&cad=5" >Page 37</a></span> - <span dir=ltr>... few was attributed an extraordinary degree of learning. This circumstance, together with the religious respect paid in those days to authority, permitted the...</span><div class="qt_aprs"><a class="secondary" href=https://books.google.com.sg/books?id=O9RNAAAAMAAJ&qtid=437e78e2&dq=dziobek+mathematical&source=gbs_quotes_r&cad=5>Appears in 2 books from 1892-1999</a></div></div><span onclick="_OC_setListSectionVisible('quotes_h', 0)" class=morelesslink id=quotes_hc1 style="display:none">Less</span></div><script type="text/javascript">if (window['_OC_setListSectionVisible']) {_OC_setListSectionVisible('quotes_h', 0);}</script></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>Mathematical Theories of Planetary Motions</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:%22Otto+Dziobek%22&source=gbs_metadata_r&cad=6"><span dir=ltr>Otto Dziobek</span></a></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Translated by</span></td><td class="metadata_value"><span dir=ltr>Mark Walrod Harrington</span>, <span dir=ltr>William Joseph Hussey</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Publisher</span></td><td class="metadata_value"><span dir=ltr>Register Publishing Company, 1892</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>25 Oct 2007</span></td></tr><tr class="metadata_row"><td class="metadata_label"><span dir=ltr>Length</span></td><td class="metadata_value"><span dir=ltr>294 pages</span></td></tr><tr class="metadata_row"><td> </td><td> </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/Mathematical_Theories_of_Planetary_Motio.bibtex?id=O9RNAAAAMAAJ&output=bibtex"><span dir=ltr>BiBTeX</span></a> <a class="gb-button " href="https://books.google.com.sg/books/download/Mathematical_Theories_of_Planetary_Motio.enw?id=O9RNAAAAMAAJ&output=enw"><span dir=ltr>EndNote</span></a> <a class="gb-button " href="https://books.google.com.sg/books/download/Mathematical_Theories_of_Planetary_Motio.ris?id=O9RNAAAAMAAJ&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, IsBooksRentalEnabled:1, IsBrowsingHistoryEnabled:1, IsZipitFolderCollectionEnabled: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%3DO9RNAAAAMAAJ%26dq%3Ddziobek%2Bmathematical%26source%3Dgbs_navlinks_s%26hl%3Den\u0026hl=en"}, {"volume_id":"O9RNAAAAMAAJ","is_ebook":true,"volumeresult":{"has_flowing_text":false,"has_scanned_text":true,"can_download_pdf":true,"can_download_epub":true,"is_pdf_drm_enabled":false,"is_epub_drm_enabled":false,"download_pdf_url":"https://books.google.com.sg/books/download/Mathematical_Theories_of_Planetary_Motio.pdf?id=O9RNAAAAMAAJ\u0026output=pdf\u0026sig=ACfU3U10DxHLOmxT2c8JEs-xBou3yvJt9g","download_epub_url":"https://books.google.com.sg/books/download/Mathematical_Theories_of_Planetary_Motio.epub?id=O9RNAAAAMAAJ\u0026output=epub"},"sample_url":"https://play.google.com/books/reader?id=O9RNAAAAMAAJ\u0026source=gbs_atb_hover","is_browsable":true,"is_public_domain":true}, {});</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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