The Method of Fluxions and Infinite Series: With Its Application to the Geometry of Curve-Lines (Classic Reprint) - Softcover

Isaac Newton

Softcover

ISBN 10: 1330454863 ISBN 13: 9781330454862

Publisher: Forgotten Books, 2018

Synopsis

Excerpt from The Method of Fluxions and Infinite Series: With Its Application to the Geometry of Curve-Lines

Now from hence the tell of our Author's Conclufions, in the flame Lemma, may be thus derived fomething more explicite'ly. The Moment of the Rectangle AB being found to be ab-i-db, when the contemporary Moments of A and B are reprefented by a and 6 'retpe'é'tivdy make B A, and therefore b a, and then the Moment of A x A, or A5; will be Arz 4a, or zaa. Again, make B -a4, and therefore Z za'a, and then the Moment of ta or A3, will be 24a+ a - Az, or 34a. Again, make B As, and therefore 5: 34a), and then the Moment of A xa, or 'a*, will 'be 3aa3 or 4dais. Again, make B =a4, and therefore b:_-é 4da3, and then the Moment of A x A4, or A', will be 4da4 +d'aa, or 54a4. And fo on £72 iryfnitum. Therefore in general, affuming m to reprefent any integer affirmative Number, the fimornent of A will be maw.

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About this title

About the Author

I. Bernard Cohen (1914-2003) was Victor S. Thomas Professor (Emeritus) of the History of Science at Harvard University. Among his recent books are "Benjamin Franklin's Science" (1996), "Interactions" (1994), and "Science and the Founding Fathers" (1992). Anne Whitman was coeditor (with I. Bernard Cohen and Alexander Koyre) of the Latin edition, with variant readings, of the "Principia" (1972). Julia Budenz, author of "From the Gardens of Flora Baum" (1984), is a multilingual classicist and poet.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• ISBN 10: 1330454863
• ISBN 13: 9781330454862
• Binding: Paperback
• Language: English
• Number of pages: 366