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Verlag: Forgotten Books, 2018
ISBN 10: 0428184898ISBN 13: 9780428184896
Anbieter: Buchpark, Trebbin, Deutschland
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Zustand: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 544.
Anbieter: Celler Versandantiquariat, Eicklingen, Deutschland
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Georg Olms, Hildesheim, 1969. 438 S. mit XXXV Tafeln im Anhang, Leinen mit goldgeprägtem Titel--- - Reprografischer Nachdruck der Ausgabe Berlin und Stuttgart 1886 - 838 Gramm.
Verlag: Forgotten Books, 2018
ISBN 10: 0666903352ISBN 13: 9780666903358
Anbieter: Buchpark, Trebbin, Deutschland
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Zustand: Wie neu. Zustand: Wie neu | Seiten: 444.
Lex.-8°. 19 S., broschiert (Umschlag leicht abgegriffen; altersgemäss gut erhalten).
Verlag: Outlook, 2013
ISBN 10: 3846037958ISBN 13: 9783846037959
Anbieter: Buchpark, Trebbin, Deutschland
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Zustand: Wie neu. Zustand: Wie neu | Seiten: 172.
Verlag: hansebooks, 2016
ISBN 10: 3741130710ISBN 13: 9783741130717
Anbieter: Buchpark, Trebbin, Deutschland
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Zustand: Wie neu. Zustand: Wie neu | Seiten: 364.
Anbieter: Antiquariat Renner OHG, Albstadt, Deutschland
Verbandsmitglied: BOEV
Verlag: Forgotten Books, 2018
ISBN 10: 042883390XISBN 13: 9780428833909
Anbieter: Buchpark, Trebbin, Deutschland
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Zustand: Wie neu. Zustand: Wie neu.
Verlag: Outlook Verlag, 2022
ISBN 10: 3368442465ISBN 13: 9783368442460
Anbieter: Buchpark, Trebbin, Deutschland
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Zustand: Wie neu. Zustand: Wie neu | Seiten: 172.
Verlag: WENTWORTH PR, 2018
ISBN 10: 0270825630ISBN 13: 9780270825633
Anbieter: moluna, Greven, Deutschland
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Gebunden. Zustand: New.
Verlag: Basel, Decker, 1780
Anbieter: Wissenschaftliches Antiquariat Köln Dr. Sebastian Peters UG, Köln, Deutschland
Erstausgabe
geheftet, ohne Einband. Zustand: gut. 16 S., 20,5 x 17 cm, 2 dekorative Vignetten, deutsche Einschübe, Lichtrand, leicht geknickt, papierbedingt leicht gebräunt, letzte Seite mit Läsuren. Sprache: lat Erstausgabe.
Leipzig, Grosse & Gleditsch, 1696. 4to. Entire volume present. Nice contemporary full vellum. Small yellow paper label pasted to top of spine and library-label to front free end-papers. Internally some browning and brownspotting. Overall a nice and tight copy. [Bernoulli paper:] pp. 264-69. [Leibniz-paper:] pp. 45-47. [Entire volume: (2), 603, (1) pp. + plates]. First printing of the famous 1696-edition of Acta Eruditorum in which Johann Bernoulli published a challenge to the best mathematicians:"Let two points A and B be given in a vertical plane. To find the curve that a point M, moving on a path AMB , must follow such that, starting from A, it reaches B in the shortest time under its own gravity."Johann adds that this curve is not a straight line, but a curve well known to geometers, and that he will indicate that curve, if nobody would do so that year. Later that year Johann corresponded directly with Leibniz regarding his challenge. Leibniz solved the problem the same day he received notice of it, and almost correctly predicted a total of only five solutions: from the two Bernoullis, himself, L'Hospital, and Newton. Leibniz was convinced that the problem could only be solved by a mathematician who mastered the new field of calculus. (Galileo had formulated and given an incorrect solution to the problem in his Dialogo). But by the end of the year Johann had still not received any other solutions. However, Leibniz convinced Johann that he should extend the deadline to Easter and that he should republish the problem. Johann now had copies of the problem sent to Journal des sçavans, the Philosophical Transactions, and directly to Newton. Earlier that year Johann had accused Newton for having filched from Leibniz' papers. Manifestly, both Johann and Leibniz interpreted the silence from June to December as a demonstration that the problem had baffled Newton. They intended now to demonstrate their superiority publicly. But Newton sent a letter dated Jan. 30 1697 to Charles Montague, then president of the Royal Society, in which he gave his solution and mentioned that he had solved it the same day that he received it. Montague had Newton's solution published anonymously in the Philosophical Transactions. However, when Bernoulli saw this solution he realized from the authority which it displayed that it could only have come from Newton (Bernoulli later remarked that he 'recognized the lion by its claw'). The present volume contains the following articles of interest:Jakob Bernoulli: 1, Observatiuncula ad ea quaenupero mense novembri de Dimensionibus Curvarum leguntur.2, Constructio Generalis omnium Curvarum transcendentium ope simplicioris Tractoriae et Logarithmicae.3, Problema Beaunianum universalius conceptum.4, Complanatio Superficierum Conoidicarum et Sphaeroidicarum.Johann Bernoulli5, Demonstratio Analyticea et Syntetica fuae Constructionis Curvae Beaunianae.6, Tetragonismus universalis Figurarum Curvilinearum per Construitionem Geometricam continuo appropinquantem.Tschirnhaus7, Intimatio singularis novaeque emendationis Artis Vitriariae.8, Responsio ad Observationes Dnn. Bernoulliorum, quae in Act. Erud. Mense Junio continentur.9, Additio ad Intimationem de emendatione artis vitriariae.
Leipzig, Grosse & Gleditsch, 1694. 4to. Contemp. full vellum. Faint handwritten title on spine. a small stamp on titlepage. In: "Acta Eruditorum Anno MDCXCIV". (2),518 pp. and 11 folded engraved plates. As usual with various browning to leaves and plates. The entire volume offered. Leibniz's papers: pp. 311-316, pp. 364-375. - Johann Bernoulli's papers: pp. 200-206, pp. 394-99, pp. 435-437, pp. 437-441. - Huygen's papers: pp. 338, pp. 339-41. - Jakob Bernoulli's papers: pp. 262-276, pp. 276-280, pp. 336-338, pp. 391-400. Some mispaginations. All papers first appearance, dealing with, and clarifying the problems and the new applications of Leibniz' inventions of the differential- and integral calculus.In the papers Leibniz shows how to reduce linear first order ordinary differential equations to quadratures. I the other paper he gives a general method of finding the envelope of a family of curves, which helped to spread the theory of plane curves.In the groundbreaking paper offered here, Jakob Bernoulli introduces THE LEMNISCATE, a symmetric self-intersecting curve resembling a figure eight and defined by the condition that the product of the distance of anay point on the curve from two fixed points is (d/2)2, where d is the distance between the fixed points."Jacob Bernoulli was fascinated by curves and the calculus, and one curve bears his name - the "lemniscate of Bernoulli", given by the polar equation r2=a cos 2"0". The curve was described in the Acta Eruditorum of 1694 as resembling a figure eight or a knotted ribbon (lemniscus). However the curve that most caught his fancy was the logarithmic spiral.he swowed that it had several strioking properties not noted before.it is easy to appreciate the feeling that led Bernoulli to request that the "spira mirabils" be engraved on his tombstone together with the inscription "Eadem mutata resurgo" (Though changed, I arise again the same)." (Boyer in his History of Mathematics).