Chez Pierre Mortier, à Amsterdam 1735, In-12 (9,5x17cm), relié.
Mention de seconde édition, illustrée d'un frontispice et de 14 planches pour la plupart dépliantes, et de quelques figures in texte. Page de titre en rouge et noir. Reliures en plein veau brun marbré d'époque. Dos à nerfs ornés. Pièces de titre en maroquin rouge, et de tomaison à la cire noire. Un manque en tête avec une coiffe fragile. Frottements. Un coin émoussé. On retiendra dans chacune des sections mentionnées les articles remarquables suivants : Nouveau phosphore, par M. Bernouilli. Observations analytiques sur la coloquinte, par M. Boulduc. La quadrature absolue d'une infinité de portions moyennes, par le Marquis de L'Hôpital. Autre règle générale des forces centrales, par M. Varignon. Méthode générale pour trouver la différence en déclinaison & en ascension droite de deux astres qui sont peu éloignés l'un de l'autre, en se servant du micromètre, pzr M. de La Hire. Méthode pour la rectification des lignes courbes, par M. Carré. Rectification de la cycloïde, par M. Carré. Essai d'une méthode pour trouver les rayons des développées, les tangentes, les quadratures... par M. de Tschirnhausen. Système général des intervalles des sons, par M. Sauveur. Du rapport des sons et des intervalles. Système général de la musique. Des sons harmoniques. Des intervalles réciproques des sons. Manière de trouver le son fixe. Nombreuses observations astronomiques sur les éclipses, comètes... - Photos sur www.Edition-originale.com -
1945 Montrouge, Impr. de Draeger frères - 1945 - In-4° , 270 x 215 mm - Broché - Couverture remplié, illustrée, texturée aux armes de Paris -108 pages., fig., portr., fac-sim. - Riche documentation photographique sur les journées de la libération - Ouvrage imprimé pour le colonel Bernouilli (Paul Bergeron) - Bel exemplaire - Réf. 47881
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ALEMBERT (Jean Le Rond dit D'ALEMBERT) -- D'ALEMBERT-BOSSUT-LA LANDE-CONDORCET- BERNOUILLI-DIDEROT...
Reference : 14750
P., Panckoucke, 1784-1785, 2 VOLUMES grand in 4 reliés en demi-basane, dos ornés de filets dorés, T.1 : (2), 114pp., 722pp., T.2 : (2), 787pp., 184pp.
---- EDITION ORIGINALE ---- BEL EXEMPLAIRE ---- Partie Mathématiques de l'Encyclopédie Panckoucke par D'ALEMBERT, BOSSUT, LA LANDE, CONDORCET, CASTILLON, J. BERNOUILLI, ABBE DE LA CHAPELLE, DARGENVILLE, DIDEROT, RALLIER DES OURMES**1475-14750/o1
(Berlin, Haude & Spener, 1770). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles- Lettres"", tome XXIV, pp. 384-408 and 1 table. Fine and clean.
First Edition. - This paper concerns the following problem: Any number of persons of one same age, half men, half women, are married together the same year, to find the probability that, the half of this complete number of married persons being dead, all the marriages will be broken. - Todhunter: History of the Theory of Probability 624 (p. 335).
"LEIBNIZ (LEIBNITZ), G.F. - JOHANN BERNOULLI - JAKOB BERNOUILLI. - CHRISTIAAN HUYGENS ET AL. - INTRODUCING THE LEMNISCATE CURVE.
Reference : 41704
(1694)
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).
Lausanne & Genève, Bousquet, 1742, 4 VOLUMES in 4 reliés en plein veau marbré, dos ornés de fers dorés, tranches rouges (reliures de l'époque), (petite épidermure sans gravité à un volume), T.1 : (2), 2 PORTRAITS gravés, 24pp., 563pp., T.2 : (1), 620pp., T.3 : (1), 563pp., T.4 : (1), 588pp., 91 PLANCHES gravées dépliantes
---- EDITION ORIGNALE des oeuvres de Jean Bernoulli dans laquelle se trouvent réunis tous les articles parus dans divers journaux scientifiques ainsi que de nombreux mémoires restés inédits, notamment celui relatif à l'hydraulique ---- BEL EXEMPLAIRE ---- Ex-libris de l'ingénieur MAILLEBIAU ---- "THE FIRST EDITION OF Jean BERNOULLI's COLLECTED WORKS brings together 189 of his papers and 59 of his lectures. The first volume is primarily devoted to problems in geometry and the early calculus, but also contains papers on muscular mechanics, the resistance of solids and a geometrical demonstration of the motion of pendulums and projectiles in resisting and unresisting media. Volumes 2 and 3 are almost totally devoted to problems of mechanics, the first of these containing his theoretical essay on the maneuvering of vessels and related papers, as well as numerous contributions on the analysis of trajectories. His discourse on the laws governing the communication of movement opens volume 3, which also contains his essay on celestial mechanics. The last volume contains contributions on the curvature of elastic plates, his mechanico-dynamical propositions and problems in dynamics. Most important its appearance in this volume represents the first printing of the hydraulica which was written in competition with his son, Daniel". (Bibliotheca Mechanica pp. 36/37) ---- NORMAN N° 217 : "The younger brother of Jakob I Bernoulli, Johann I collaborated with his brother and with Leibnitz to produce almost all of the present elementary differential and integral calculus, along with the beginnings of ordinary differential equations and the calculus of variations. The integral calculus was published in Johann I's Opera omnia, which contains all of his mathematical papers" ---- DSB II p. 51/55 - Honeyman N° 293**478/i1
1 volume in-8° broché, pagination de 530 à 956. Léger état d'usage en couverture bordures rousses sinon très bon état d'occasion.
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