Bernoullii (1 results)

Leipzig, Grosse & Gleditsch, 1695. 4to. Contemp. full vellum. Faint handwritten title on spine. A small stamp on titlepage and pasted library label to pasted down front free end-paper. In: "Acta Eruditorum Anno MDCXCV". (2), 560, (52) pp. + 10 plates. As usual with various browning to leaves and plates. The entire volume offered. Leibniz's papers: pp. 145-57" 184-185 310-316 369-372 493-495. Jacob Bernoulli's paper: pp. 537-553 + one folding table 65-66. Johann Bernoulli's: pp. 59-65" 374-376. First printing of a series of influential papers by Leibniz, Jacob Bernoulli and Johann Bernoulli.First publication of Jakob Bernoulli's famous and influential "Bernoulli Equation". In "Notatiuncula Constructiones Lineae" Bernoulli proposed a solution to non linear equations which today is one of the most common used solutions of the general fluid. Bernoulli equations are significant because they are nonlinear differential equations with known exact solutions. In the "Specimen dynamicum" Leibniz presents a conception of body and force which distinct between primitive and derivative forces and between active and passive forces. This article is regarded as being the clearest exposition of Leibniz' dynamics. (DSB VII, 151b)."The first attempt at a detailed account of the dynamics was a long dialogue, the "Phoranomus seu de potentia et legibus naturae," written in July 1689 while Leibniz was in Rome. This was quickly followed be the composition of the massive Dynamica de potential et legibus naturae corporeae (1689-90) [.]. Though it was written with the intention of publication, and though Leibniz work at publishing it, he never considered it entirely finished and it remained unpublished during his lifetime.The later [.] he finally revealed some of the metaphysical foundations of the project in an essay [the present paper]." (Garber, Daniel. Leibniz: body, substance, monad. 2009. 132 p.)"Its title suggests a summary of or a selection from the earlier work [.]. However, it actually contains something in a way rather more interesting: a careful exposition of the metaphysical foundations of the new science, something that is hard to find in the old Dynamica or any of the more Technical pieces." (Garber, Daniel. Leibniz: Body, Substance, Monad. 2009. 133 p.).