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==Volume II== <table border="0" width="90%" align="center"> <tr> <td align="left">Table of Principal Contents (5 pp.)</td><td align="right"> </td> </tr> <tr> <td align="left">Figure Plates (30 pp.)</td><td align="right"> </td> </tr> <tr> <td align="left">Book 1 (continued)</td><td align="right">1</td> </tr> <tr> <td align="left"> Chapter XII (Of the Methods of Infinitesimals …) — §§ 495-570</td><td align="right">1</td> </tr> <tr> <td align="left"> <b>·</b> Centre of Gravity — §510</td><td align="right">13</td> </tr> <tr> <td align="left"> <b>·</b> Of the Collision of Bodies — §511</td><td align="right">14</td> </tr> <tr> <td align="left"> <b>·</b> Of the Descent of Bodies that Act upon One Another — §521</td><td align="right">27</td> </tr> <tr> <td align="left"> <b>·</b> Of the Centre of Oscillation — §533</td><td align="right">40</td> </tr> <tr> <td align="left"> <b>·</b> Of the Motion of Water Issuing from a Cylindric Vessel — §537</td><td align="right">44</td> </tr> <tr> <td align="left"> <b>·</b> Of the Catenaria — §551</td><td align="right">59</td> </tr> <tr> <td align="left"> <b>·</b> General Observations Concerning the Angles of Contact, etc. — §554</td><td align="right">61</td> </tr> <tr> <td align="left"> <b>·</b> General Observations Concerning centripetal Forces, etc. — §563</td><td align="right">67</td> </tr> <tr> <td align="left"> Chapter XIII (Determining the Lines of swiftest Descent in any Hypothesis of Gravity …) — §§ 571-608</td><td align="right">74</td> </tr> <tr> <td align="left"> <b>·</b> When Gravity is Directed Towards a Given Centre — §578</td><td align="right">80</td> </tr> <tr> <td align="left"> <b>·</b> Isoperimetrical Problems — §588</td><td align="right">88</td> </tr> <tr> <td align="left"> <b>·</b> The Solid of Least Resistance — §606</td><td align="right">100</td> </tr> <tr> <td align="left"> Chapter XIV (Of the Ellipse Considered as the Section of a Cylinder … Of the Figure of the Earth …) — §§ 609-</td><td align="right">101</td> </tr> <tr> <td align="left"> <b>·</b> Properties of the Ellipse — §609</td><td align="right">101</td> </tr> <tr> <td align="left"> <b>·</b> Of the Gravitation towards Spheres and Spheroids — §628</td><td align="right">110</td> </tr> <tr> <td align="left"> <b>·</b> Of the Figures of Planets (including effects of rotation) — §636</td><td align="right">116</td> </tr> <tr> <td align="left"> <b>·</b> Key Concluding Theorem! — §641</td><td align="right">119</td> </tr> <tr> <td align="center" colspan="2">[[File:Vol2Paragraph641.png|400px|thumb|center|Extracted directly from §641 of Maclaurin's Book 1, as digitized by Google]]</td> </tr> <tr> <td align="left"> <b>·</b> Using geometric relations, illustrate how to quantitatively determine gravitational acceleration …</td><td align="right"> </td> </tr> <tr> <td align="left"> [see related comment by [[#Todhunter1873|Todhunter (1873), below]]]</td><td align="right"> </td> </tr> <tr> <td align="left"> <b>▸</b> due to an arbitrarily shaped, uniform-density configuration — §642</td><td align="right">120</td> </tr> <tr> <td align="left"> <b>▸</b> outside or on the surface of a uniform-density sphere — §643</td><td align="right">121</td> </tr> <tr> <td align="left"> <b>▸</b> at the pole of an oblate spheroid — §644</td><td align="right">122</td> </tr> <tr> <td align="left"> <b>▸</b> at the equator of an oblate spheroid — §645</td><td align="right">123</td> </tr> <tr> <td align="left"> <b>▸</b> at both the pole and the equator of an oblong (''i.e.,'' prolate) spheroid — §647</td><td align="right">125</td> </tr> <tr> <td align="left"> <b>▸</b> due to a pair of concentric, confocal spheroids — §648</td><td align="right">127</td> </tr> <tr> <td align="left"> <b>·</b> Apply Specifically to the Earth — §661</td><td align="right">136</td> </tr> <tr> <td align="left"> <b>·</b> What if the Earth's Density isn't Uniform but, instead, Varies Linearly with Distance? — §670</td><td align="right">143</td> </tr> <tr> <td align="left"> <b>·</b> Jupiter — §682</td><td align="right">152</td> </tr> <tr> <td align="left"> <b>·</b> Tides — §686</td><td align="right">154</td> </tr> <tr> <td align="left"> <b>·</b> Concluding Paragraph — §696</td><td align="right">161</td> </tr> <tr> <td align="center" colspan="2">[[File:Vol2Paragraph696V2.png|400px|thumb|center|Extracted directly from §696 of Maclaurin's Book 1, as digitized by Google]]</td> </tr> <tr> <td align="left"> End of Book I</td><td align="right">162</td> </tr> </table> <div style="clear:both"></div>
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