The Doctrine of Fluxions: Not Only Explaining the Elements, Thereof, but Also Its Application and Use in the Several Parts of Mathematics and Natural Philosophy (Classic Reprint) - Hardcover

William Emerson

9780656100705: The Doctrine of Fluxions: Not Only Explaining the Elements, Thereof, but Also Its Application and Use in the Several Parts of Mathematics and Natural Philosophy (Classic Reprint)

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ISBN 10: 0656100702 ISBN 13: 9780656100705

Publisher: Forgotten Books, 2018

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Excerpt from The Doctrine of Fluxions: Not Only Explaining the Elements, Thereof, but Also Its Application and Use in the Several Parts of Mathematics and Natural Philosophy

The Method of Fluxions is founded upon this mojt jimple and ohvious Principle, viz. That any Quantity may he fuppo/ied to he generated hy continual Increafe, after the fame Manner that Space is dcfcrihed hy local Motion. The great and nohle Inventor tells us, that in this M€ tho'd he confiders Things as generated by continual Increafe, after the Manner of a'space which a Thing or Point in Motion defcribes. Now the Conception of this is exceeding eafy and natural for we every Day fie with our own Eyes, all Kinds of Lines and Figures defcrihed hy the Motion of Bodies This Principle then will he eafily admitted. Find further, fince we alfo fie hy Experience, that the/29 very Lines and Figures areae firihed, fome with greater Degrees of Velocity, fome with le/s, fame with Motions continually accelerated or retarded, and fome with uniform Motions: We [hall ea/ly unden jtand, that any one of the/e Lines or Spaces has zn every Point of its Defcription a certain Degree of Increa/e determinate in itfelf, and peculiar to that Point, and which is the jame with the Velocity of the Thing that defcrihes i.t find to determine this Velocity, or this De gree of Increafe, in any given Point of the generated Quantity, is the fame Thing as finding the Fluxion of a propofed variahle Quantity, and is the Foundation of all the firithmetic of Fluxions. Find to determine this truly is of the greatcyt Confequence for e/lahli/hing the Theory.

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