2012, ISBN: 1130007251

[EAN: 9781130007251], Neubuch, [PU: Rarebooksclub.com, United States], Language: English Brand New Book ***** Print on Demand *****. This historic book may have numerous typos and missing… Plus…

[EAN: 9781130007251], Neubuch, [PU: Rarebooksclub.com, United States], Language: English Brand New Book ***** Print on Demand *****. This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1809 Excerpt: .be verified by a synthetical process; for let the abscissa AE, be put ss v, . and the ordinate CE = u; then a is = pv, u--.--i-j/ll]g, andi-= Pi-PllVL + P). But (Simpson sFluxions, pa.76, vol. 1.) i4 ----r therefore--= and the normal pressure is = 2r (4 +; Also the centrifugal force-= S + im) nr 0 r r--g (4--4-2w). therefore the whole pressure is--er g (4a + p) g (41/ + em) g (p--g--) Jttz ar a 2r r It is evident from hence, that if the body begins to descend from A, with any given velocity, the pressure at any point of the parabola, will be equal to a certain quantity divided by the radius of curvature at that point. Messrs. O Riordan and Swale answered this question. XIX. QUESTION 199, by Mr. Cunliffe. Find a feries of numbers, every one of which is divifible into three fuch parts, that if to the fquare of each part the pro. duft of the other two be added, the three fums thence arifing ihall all be rational fquares? Solution, by Mr. Cunliffe, the Proposer. Let n denote a number capable of being divided according to the conditions of the question; and let x, y, and z, denote the required If w be put ==z q--sin2 x, the expression for z becomes i rw2x . 77--: . Or since sin x;= y (g--xu), cos x zz /(/-+ aw). y V2., . flux, sin--ay--q + -), and x = = f cos x we have.--rwzu z---- .--? + w) J (9--w) ( i--q + -0 This last expression agrees with formula 55, table 12, of Landen s Appendix, where the ingenious author has shewn how it may be resolved into other expressions that are more simple; but the integration by this method is-exceedingly troublesome. Perhaps the easiest way of computing the fluent is at once to resolve the expression into a series without having recourse to any particular.<

ISBN: 1130007251

Paperback, [EAN: 9781130007251], RareBooksClub.com, RareBooksClub.com, Book, [PU: RareBooksClub.com], RareBooksClub.com, 65, History, 271237, Ancient History & Civilisation, 276416, Archa… Plus…

Paperback, [EAN: 9781130007251], RareBooksClub.com, RareBooksClub.com, Book, [PU: RareBooksClub.com], RareBooksClub.com, 65, History, 271237, Ancient History & Civilisation, 276416, Archaeology, 271343, Britain & Ireland, 271480, Europe, 271565, North America, 271411, Military History, 772016, Maritime History, 771710, Political History, 772148, Social & Economic History, 772162, Cultural History, 771714, Religious History, 271389, Other Historical Subjects, 771724, Essays, Journals, Letters & True Accounts, 271605, Reference, 771718, World History, 771708, Countries & Regions, 4119251, Academic History, 1025612, Subjects, 266239, Books<

ISBN: 9781130007251

Paperback, [PU: Rarebooksclub.com]