Description
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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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Details
Publisher - Forgotten Books
Language - English
Hardback
Contributors
Author
Isaac Newton
Published Date -
ISBN - 9781528047883
Dimensions - 22.9 x 15.2 x 2.0 cm
Page Count - 367
Paperback
Contributors
Author
Isaac Newton
Published Date -
ISBN - 9781330454862
Dimensions - 22.9 x 15.2 x 2.0 cm
Page Count - 369
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