Method Of Fluxions And Infinite Series eBook

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. 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.