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

Newton, Isaac

9781528047883: The Method of Fluxions and Infinite Series: With Its Application to the Geometry of Curve-Lines (Classic Reprint)

Rilegato

ISBN 10: 1528047885 ISBN 13: 9781528047883

Casa editrice: Forgotten Books, 2018

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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'�'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:_-� 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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