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Artikel 106405-01


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106405-01  Bernoulli, Joh(ann).
Responsio ad nonneminis provocationem, ejusque solutio quaestionis ipsi ab eodem propositae de invenienda linea curva quam describit projectile in medio resistente. SS. 216-226. - Und: Derselbe. Problema analyticum, quod omnibus geometris non-Anglis proposuit. SS. 256-270. - Und: Derselbe. Tentamen solutionis generalis problematis de construenda curva, quae alias ordinatim positione datas ad angulos reclos secat. SS. 295-304. In: Acta eruditorum anno MDCCXIX. (20,5 x 16,5 cm). (6) 540 (38) S. Mit 4 (2 gefalteten) Kupfertafeln. Moderner Pappband im Stil der Zeit.
Leipzig, Grosse & Gleditsch, 1719.
Erste Ausgabe dieser bedeutenden Arbeiten, in denen Bernoulli das Problem der ballistischen Kurve in allgemeiner Form gelöst hat, während Newton es in seiner Principia nur für den einfachsten Fall (n=1) lösen konnte. - "Bernoulli's criticism of Taylor's 'Methodus incrementorum' was simultaneously an attack upon the method of fluxions, for in 1713 Bernoulli had become involved in the priority dispute between Leibniz and Newton. Following publication of the Royal Society's 'Commercium epistolicum' in 1712, Leibniz had no choice but to present his case in public. He released - without naming names - a letter by Bernoulli... in which Newton was charged with errors stemming from a misinterpretation of the higher differential. Thereupon Newton's followers raised complicated analytical problems, such as the determination of trajectories and the problem of finding the ballistic curve, which Newton had solved only for the law of resistance R = av (R = resistance, a = constant, v = velocity). Bernoulli solved this problem (AE, 1719) for the general case..., thus demonstrating the superiority of Leibniz' differential calculus" (DSB). - Stellenweise leicht gebräunt bzw. etwas stockfleckig. Das letzte Blatt mit leicht restaurierten Einrissen, sonst gut erhalten. - DSB 2, 51

450 €