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

Newton, Isaac

Couverture souple

ISBN 10 : 1330454863 ISBN 13 : 9781330454862

Editeur : 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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A propos du livre

Présentation de l'éditeur

William Jones Efq; F.R S. SIR, T was a laudable cuftom among the ancient Geometers, and very worthy to be imitated by their Succef Tors, to addrefs their Mathematical labours, not fo much to Men of eminent rank and ration in the world, as to Perfons of diftinguidi dmerit and proficience in the fame Studies. For they knew very well, that fuch only could be competent Judges of their Works, and would receive them with the efteem. they might deferve. So far at leaft I can copy after thofe great Originals, as to chufe a Patron for thefe Speculations, whofe known skill and abilities in fuch matters will enable him to judge, and whofe known candor will incline him to judge favourably, of the fhare I have had in the prefent performance. For as to the fundamental part of the Work, of which I am only the I nterpreter, I know it cannot but pleafe you ;it will need no protection, norean it receive a greater recommendation, than to bear the name of its illuftrious A uthor. However, it very naturally applies itfelf to you, who had the honour (for I am fure you think it fo) of the Author sfriendship and familiarity in his life-time; who had his own confent to publifli nil elegant edition of fome of his pieces, of a nature not very different from this; and who have fo juft an efteem for, as well as knowledge of, his other moft fublime, moil admirable, andjuftly celebrated Works.
(Typographical errors above are due to OCR software and don't occur in the book.)

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Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1330454863
• ISBN 13: 9781330454862
• Reliure: Broché
• Nombre de pages: 370
• Coordonnées du fabricant: non disponible