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(→Excerpts from A Treatise of Fluxions: Begin typing in table of contents for Book I) |
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<td align="left"> Chapter IX ([Identifying Extrema and Inflection Points] of Curves that are defined by a common or by a fluxional Equation) | <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> | — §§ 238-285</td><td align="right">214</td> | ||
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<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> | |||
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<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> | ||
</table> | </table> | ||
Revision as of 17:47, 29 August 2015
Excerpts from A Treatise of Fluxions
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| | Tiled Menu | Tables of Content | Banner Video | Tohline Home Page | |
Both Volume I and Volume II of Colin Maclaurin's "A Treatise of Fluxions" can now be accessed online via Google Books. (Check out Wolfram's explanation of the term, fluxion.) In what follows, we present selected excerpts from these two books.
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Title Pages with Google-Books Links |
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Volume I
| Dedication (Acknowledgment) | |
| Preface | |
| Introduction | 1 |
| Book 1 (Of the Fluxions of Geometrical Magnitudes) | 51 |
| Chapter I (Of the Grounds of this Method) — §§ 1-77 | 51 |
| Chapter II (Of the Fluxions of plane rectilineal Figures) — §§ 78-104 | 109 |
| Chapter III (Of the Fluxions of plane curvilineal Figures) — §§ 105-123 | 131 |
| Chapter IV (Of the Fluxions of Solids, and of third Fluxions) — §§ 124-139 | 142 |
| Chapter V (Of the Fluxions of Quantities that are in a continued Geometrical Progression, the first term of which is invariable) — §§ 140-150 | 152 |
| Chapter VI (Of Logarithms, and of the Fluxions of logarithmic Quantities) — §§ 151-179 | 158 |
| Chapter VII (Of the Tangents of curve Lines) — §§ 180-214 | 178 |
| Chapter VIII (Of the Fluxions of curve Surfaces) — §§ 215-237 | 199 |
| Chapter IX ([Identifying Extrema and Inflection Points] of Curves that are defined by a common or by a fluxional Equation) — §§ 238-285 | 214 |
| Chapter X (Of the Asymptotes of curve Lines, the Areas bounded by them and …) — §§ 286-362 | 240 |
| Chapter XI (Of the Curvature of Lines … different kinds of Contact [with other Curves] … Caustics … centripetal Forces …) — §§ 363- | 304 |
Volume II
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Paragraph and related figure extracted† without modification from p. 111 of Colin Maclaurin (1742)
"A Treatise of Fluxions"
Volume 2, Chapter XIV, §630 | |
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