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==Maclaurin's Discussion of Self-Gravitating, Oblate-Spheroidal Configurations== <div align="center"> <table border="1" cellpadding="5" width="80%"> <tr><td align="center" colspan="2"> Paragraph (and related figure) extracted<sup>†</sup> from [https://books.google.com/books?id=xfQ7AQAAMAAJ&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false Colin Maclaurin (1742)]<br /> "''A Treatise of Fluxions''"<br /> Volume II, Chapter XIV, §628 </td></tr> <tr> <td align="center" rowspan="2"> [[File:Vol2Paragraph628.png|400px|center|Maclaurin (1742)]] </td> <td align="center" rowspan="1"> [[File:Vol2Figure283.png|300px|center|Maclaurin (1742)]] </td> </tr> <tr> <td align="center" rowspan="1"> [[File:frustums.jpg|link=http://www.mathalino.com/reviewer/derivation-of-formulas/derivation-of-formula-for-volume-of-a-frustum|300px|center|To be inserted: Diagram from MATHalino.com]] </td> </tr> <tr> <td align="left" colspan="2"> <sup>†</sup>As displayed here (left panel), this paragraph has been pieced together from two text segments found on separate but sequential pages (pp. 110-111) of Google's digitized volume. The diagram labeled Fig. 283 (top-right panel) has been extracted from Maclaurin's [http://www.vistrails.org/index.php/File:PlateXXXII_vol2.png Figure Plate XXXIII], which appears near the beginning of the same digitized file, and has been displayed here without modification. The diagrams in the bottom-right panel have been reposted from [http://www.mathalino.com/reviewer/derivation-of-formulas/derivation-of-formula-for-volume-of-a-frustum Mathalino.com] in an effort to illustrate what Maclaurin means by "frustum of a cone." </td> </tr> </table> </div> <div align="center" id="Paragraph630"> <table border="1" cellpadding="5" width="80%"> <tr><td align="center" colspan="2"> Paragraph (and a pair of related diagrams) extracted<sup>†</sup> from [https://books.google.com/books?id=xfQ7AQAAMAAJ&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false Colin Maclaurin (1742)]<p></p> "''A Treatise of Fluxions''"<p></p> Volume II, Chapter XIV, §630 </td></tr> <tr> <td align="center"> [[File:Vol2PP630and631.png|400px|center|Maclaurin (1742)]] </td> <td align="center"> [[File:Figure282Whole.png|400px|center|Maclaurin (1742)]] </td> </tr> <tr> <td align="left" colspan="2"> <sup>†</sup>The paragraph (left panel) has been extracted from p. 111 of Google's digitized volume and displayed here without modification. The pair of diagrams (right panel) has been extracted from [http://www.vistrails.org/index.php/File:PlateXXXII_vol2.png Figure Plate XXXIII], which appears near the beginning of the same digitized file. Note that the diagram on the right has been (poorly) pieced together from segments that appear on two separate pages of Google's digitized volume, presumably because the figure plate, itself, is folded in the original print publication. </td> </tr> </table> </div>
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