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Revision as of 19:15, 29 August 2015 by Tohline (talk | contribs) (→Volume I: More detailing of table of contents for Maclaurin's book 1)
Excerpts from A Treatise of Fluxions
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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 |
| · Parabola — §371 | 311 |
| · Any Conic Section — §373 | 312 |
| · The Second Fluxion of a Curve — §384 | 324 |
| · Refraction of Light — §413 | 344 |
| · Centripetal and Centrifugal Forces — §416 | 346 |
| · Gravity — §419 | 348 |
| · Circular Motion — §432 | 356 |
| · When the Center of Forces is the Focus of a Conic Section — §446 | 370 |
| · When Gravity is Uniform or Varies as any Power of the Distance — §458 | 383 |
| · Orbit of the Moon, taking into account the Gravity of both the Earth and the Sun — §471 | 391 |
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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