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font-size: 1em; } .flow .pagebreak { page-break-before: always; } .flow p { text-align: left; text-indent: 0; margin-top: 0; margin-bottom: 0.5em; } .flow .gstxt_sup { font-size: 75%; position: relative; bottom: 0.5em; } .flow .gstxt_sub { font-size: 75%; position: relative; top: 0.3em; } .flow .gstxt_hlt { background-color: yellow; } .flow div.gtxt_inset_box { padding: 0.5em 0.5em 0.5em 0.5em; margin: 1em 1em 1em 1em; border: 1px black solid; } .flow div.gtxt_footnote { padding: 0 0.5em 0 0.5em; border: 1px black dotted; } .flow .gstxt_underline { text-decoration: underline; } .flow .gtxt_heading { text-align: center; margin-bottom: 1em; font-size: 150%; font-weight: bold; font-variant: small-caps; } .flow .gtxt_h1_heading { text-align: center; font-size: 120%; font-weight: bold; } .flow .gtxt_h2_heading { font-size: 110%; font-weight: bold; } .flow .gtxt_h3_heading { font-weight: bold; } .flow .gtxt_lineated { margin-left: 2em; margin-top: 1em; margin-bottom: 1em; white-space: pre-wrap; } .flow .gtxt_lineated_code { margin-left: 2em; margin-top: 1em; margin-bottom: 1em; white-space: pre-wrap; font-family: monospace; } .flow .gtxt_quote { margin-left: 2em; margin-right: 2em; margin-top: 1em; margin-bottom: 1em; } .flow .gtxt_list_entry { margin-left: 2ex; text-indent: -2ex; } .flow .gimg_graphic { margin-top: 1em; margin-bottom: 1em; } .flow .gimg_table { margin-top: 1em; margin-bottom: 1em; } .flow { font-family: serif; } .flow span,p { font-family: inherit; } .flow-top-div {font-size:83%;}</style><div id='flow-top-div' class='flow-top-div'>  <div class='flow' style=''> </div>  <div class='flow' style=''> <a class='page' id='PP6'></a> <div class='gtxt_body'> <p class='gtxt_body' style='text-indent:1em;'>1</p> </div> </div>  <div class='flow' style=''> <a class='page full_page_lineated' id='PP7'></a> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body'>OF <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body'>PLANETARY MOTIONS <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body'>BY <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body'>Fran <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body'>DR. OTTO <span class="gstxt_hlt">DZIOBEK</span>, <br/></p> <p class='gtxt_body gtxt_lineated'>PRIVATDOCENT IN THE ROYAL TECHNICAL HIGH SCHOOL OF <br/> BERLIN-CHARLOTTENBURG. <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body'>TRANSLATED BY <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body'>MARK W. HARRINGTON, <br/></p> <p class='gtxt_body'>CHIEF OF THE UNITED STATES WEATHER BUREAU. <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body'>FORMERLY PROFESSOR OF <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body gtxt_lineated'>ASTRONOMY AND DIRECTOR OF THE OBSERVATORY AT THE <br/> UNIVERSITY OF MICHIGAN. <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body'>AND <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body'>WILLIAM J. HUSSEY, <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body gtxt_lineated'>ASSISTANT PROFESSOR OF ASTRONOMY IN THE LELAND STANFORD <br/> JUNIOR UNIVERSITY. <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body gtxt_lineated'> ANN ARBOR, MICHIGAN: <br/>THE REGISTER PUBLISHING COMPANY. <br/></p> </div> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body'>The Inland Press. <br/></p> </div> <div class='gtxt_body'> <p class='gtxt_body'>1892. <br/></p> </div> </div>  <div class='flow' style=''> <a class='page full_page_lineated' id='PP8'></a> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body'>Copyright 1892 <br/></p> </div> <div class='gtxt_body'> <p class='gtxt_body'>BY THE REGISTER PUBLISHING COMPANY. <br/></p> </div> </div>  <div class='flow' style=''> <a class='page' id='PP9'></a> <div class='gtxt_body' style='margin-bottom: 1.5em;'> <p class='gtxt_body' style='text-align:center;'>PREFACE.</p> </div> <div class='gtxt_body'> <p class='gtxt_body' style='text-indent:1em;'>The determination of the motions of the heavenly bodies is an important problem in and for itself, and also on account of the influence it has exerted on the development of mathematics. It has engaged the attention of the greatest mathematicians and in the course of their not altogether successful attempts to solve it, they have displayed unsurpassed ingenuity. The methods devised by them have proved useful not only in this problem but have also largely determined the course of advance in other branches of mathematics. Analytical mechanics, beginning with Newton and receiving a finished clearness from Lagrange, is especially indebted to this problem, and in turn, analytical mechanics has been so suggestive in method as to determine largely both the direction and rapidity of the advancement of <span class="gstxt_hlt">mathematical </span>science.</p> <p class='gtxt_body'>Hence when it is desired to illustrate the abstract theories of analytical mechanics, the profundity of the mathematics of the problem of the motions of the heavenly bodies, its powerful influence on the historical development of this science, and finally the dignity of its object, all point to it as most suitable for this purpose.</p> <p class='gtxt_body' style='text-indent:1em;'>This work is intended not merely as an introduction to the special study of astronomy, but rather for the student of mathematics who desires an insight into the creations of his masters in this field. The lack of a text-book, giving within moderate limits and in a strictly scientific manner the principles of <span class="gstxt_hlt">mathematical </span>astronomy in their present remarkably simple and lucid form, is undoubtedly the reason why so many mathematicians extend their knowledge of the solar system but little beyond Kepler's laws. The author has endeavored to meet this need and at the same time to produce a book which shall be so near the present state of the science as to include recent investigations and to indicate unsettled questions.</p> <p class='gtxt_body' style='text-indent:1em;'>The subject of the work is that part of celestial mechanics which treats of the motions of heavenly bodies considered as material points. This is its most important part, and it is fundamental in the theories of rotation, tides and the figures of bodies. The author hopes to treat of 1 these in a separate work. The simplest processes and those which best represent the present state of the science have always been selected. Especial care has been taken to guard against brilliant hypotheses which explorers in this field have so often indulged in but which are not suitable in a text-book.</p> </div> </div> </div> </div></div><a id="legacy-text-prev" style="font-size:80%;float:left;margin:2px 2px 2px 12px" href=https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PP1&focus=viewport&dq=dziobek+mathematical&output=text>« Previous</a><a id="legacy-text-next" style="font-size:80%;float:right;margin:2px 12px 2px 2px" href=https://books.google.com.sg/books?id=O9RNAAAAMAAJ&pg=PP12&focus=viewport&dq=dziobek+mathematical&output=text#c_top>Continue »</a></div></td></tr></table></div></div></div></div></div><script>(function() {var href = window.location.href;if (href.indexOf('?') !== -1) {var parameters = href.split('?')[1].split('&');for (var i = 0; i < parameters.length; i++) {var param = parameters[i].split('=');if (param[0] == 'focus') {var elem = document.getElementById(param[1]);if (elem) {elem.focus();}}}}})();</script>