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==Volume I== <table border="0" width="90%" align="center"> <tr> <td align="left">Dedication (an 18<sup>th</sup> Century Acknowledgment)</td><td align="right"> </td> </tr> <tr> <td align="left">Preface</td><td align="right"> </td> </tr> <tr> <td align="left">Introduction</td><td align="right">1</td> </tr> <tr> <td align="left">Book 1 (Of the Fluxions of Geometrical Magnitudes)</td><td align="right">51</td> </tr> <tr> <td align="left"> Chapter I (Of the Grounds of this Method) — §§ 1-77</td><td align="right">51</td> </tr> <tr> <td align="left"> Chapter II (Of the Fluxions of plane rectilineal Figures) — §§ 78-104</td><td align="right">109</td> </tr> <tr> <td align="left"> Chapter III (Of the Fluxions of plane curvilineal Figures) — §§ 105-123</td><td align="right">131</td> </tr> <tr> <td align="left"> Chapter IV (Of the Fluxions of Solids, and of third Fluxions) — §§ 124-139</td><td align="right">142</td> </tr> <tr> <td align="left"> Chapter V (Of the Fluxions of Quantities that are in a continued Geometrical Progression, the first term of which is invariable) — §§ 140-150</td><td align="right">152</td> </tr> <tr> <td align="left"> Chapter VI (Of Logarithms, and of the Fluxions of logarithmic Quantities) — §§ 151-179</td><td align="right">158</td> </tr> <tr> <td align="left"> Chapter VII (Of the Tangents of curve Lines) — §§ 180-214</td><td align="right">178</td> </tr> <tr> <td align="left"> Chapter VIII (Of the Fluxions of curve Surfaces) — §§ 215-237</td><td align="right">199</td> </tr> <tr> <td align="left"> Chapter IX ([Identifying Extrema and Inflection Points] of Curves that are defined by a common or by a fluxional Equation) — §§ 238-285</td><td align="right">214</td> </tr> <tr> <td align="left"> Chapter X (Of the Asymptotes of curve Lines, the Areas bounded by them and …) — §§ 286-362</td><td align="right">240</td> </tr> <tr> <td align="left"> Chapter XI (Of the Curvature of Lines … different kinds of Contact [with other Curves] … Caustics … centripetal Forces …) — §§ 363-</td><td align="right">304</td> </tr> <tr> <td align="left"> <b>·</b> Parabola — §371</td><td align="right">311</td> </tr> <tr> <td align="left"> <b>·</b> Any Conic Section — §373</td><td align="right">312</td> </tr> <tr> <td align="left"> <b>·</b> The Second Fluxion of a Curve — §384</td><td align="right">324</td> </tr> <tr> <td align="left"> <b>·</b> Refraction of Light — §413</td><td align="right">344</td> </tr> <tr> <td align="left"> <b>·</b> Centripetal and Centrifugal Forces — §416</td><td align="right">346</td> </tr> <tr> <td align="left"> <b>·</b> Gravity — §419</td><td align="right">348</td> </tr> <tr> <td align="left"> <b>·</b> Circular Motion — §432</td><td align="right">356</td> </tr> <tr> <td align="left"> <b>·</b> When the Center of Forces is the Focus of a Conic Section — §446</td><td align="right">370</td> </tr> <tr> <td align="left"> <b>·</b> When Gravity is Uniform or Varies as any Power of the Distance — §458</td><td align="right">383</td> </tr> <tr> <td align="left"> <b>·</b> Orbit of the Moon, taking into account the Gravity of both the Earth and the Sun — §471</td><td align="right">391</td> </tr> <tr> <td align="center" colspan="2">[[File:MoonOrbitQuoteSect487.png|400px|thumb|center|Extracted directly from §487 of Maclaurin's Book 1, as digitized by Google]]</td> </tr> <tr> <td align="left"> <b>·</b> Prolate Spheroidal Fluid Figure — §491</td><td align="right">409</td> </tr> <tr> <td align="center" colspan="2">[[File:ProlateSpheroidQuoteSect491.png|400px|thumb|center|Extracted directly from §491 of Maclaurin's Book 1, as digitized by Google]]</td> </tr> <tr> <td align="left"> <b>·</b> The Earth's Equilibrium Shape — §492</td><td align="right">410</td> </tr> <tr> <td align="center" colspan="2">[[File:EarthAsOblateSpheroidQuoteSect492.png|400px|thumb|center|Extracted directly from §492 of Maclaurin's Book 1, as digitized by Google]]</td> </tr> <tr> <td align="left"> End of Book I, Chapter XI, § 494</td><td align="right">413</td> </tr> </table> <div style="clear:both"></div>
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