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‎"LEIBNIZ, G.G. - LEIBNITZ [+ CHRISTIAN WOLFF].‎

Reference : 49396

(1721)

‎Principia Philosophiae [i.e. ""The Monadology""/""Monadologie""/""Theory of Monads""] + (Chr. Wolff:) Das Herrn Gottfrid Wilhelm von Leibnitz Lehrsätze über die Monadologie &c... [In: Actorum Eruditorum, Supplementa. Tomus VII + Acta Eruditorum anno 1721]. - [THE MONADOLOGY - A NEW PHILOSOPHY]‎

‎Leipzig, 1721. 4to. Both entire volumes (Acta Eruditorum 1721 + Supplementa VII, 1721) present, in uniform contemporary full vellum bindings with handwriting to spines. A small later label to top of spines. Old handwritten ex libris-inscription to top of both title-pages as well as a small stamp. The supplement-volume with an additional stamp to title-page, and both volumes with library label (Archiv des k.k. militär.-geograf Institutes) to pasted down front free end-paper. As usual some brownspotting. A nice set. pp. 500-514 (Supplement-vol.) + pp. 94-95. [Entire volumes: (2), 537, (39) pp. + three plates (Suppl.-vol.) + (4), 547, (42) pp. + five plates].‎


‎The highly important first Latin translation of Leibnitz' seminal ""The Monadology"" - his main philosophical work and the work that stands as the epitomization of anti-materialism - which was not published in the original French until 1814, and which only appeared in a German translation (exceedingly scarce) in 1720 and in a Latin translation, by Christian Wolff, in 1721, as it is here. Up until then, Leibnitz' key philosophical text had only circulated in manuscript form (written in 1714). - Here sold together with Wolff's anonymously written review of (the German version of the) ""Monadology"", which had great impact upon the reception of the seminal philosophical text that is the ""Monadology"".""Until the XXth century, criticism about Leibniz's ""Principles of Nature and Grace"" and ""Monadology"" has been characterised by a number of mistakes and misunderstandings, which have roots in the circumstances surrounding the genesis of these manuscripts. As a consequence, erroneous information about these texts was included in an anonymous review, published in 1721 in the ""Acta eruditorum"" of Leipzig. Research on primary sources proves that the author of this review (who was in fact the author of the latin translation of the Monadology, published immediately afterwards) was Christian Wolff, who was in possession of a copy of Leibniz's manuscript as early as 1717. Wolff's initiative of translating the Monadology can be seen as part of a cultural strategy aiming to prevent any idealistic interpretation of Leibniz's monadological thought. From this point of view, to consider the theory of pre-established harmony as based on a system of strictly dualistic metaphysics was an essential element of Wolff's philosophical strategy.""(Antonio Lamarra: Contexte génétique et première reception de la ""Monadologie"". Leibniz, Wolff et la doctrine de l'harmonie préétablie""). During his last stay in Vienna from 1712 to September 1714, Leibniz wrote two short texts, which were meant as concise expositions of his philosophy, namely the ""Principes de la Nature et de la Grace fondés en raison"" (written as a letter to Prince Eugene of Savoy) and the work we now know as the ""Monadology"" (which he had been asked to write by Nicolas Redmond, Duke of Orleons) - the latter being the work that established Leibnitz' fame as a philosopher and which has gone down in history as, not only as one of the most important philosophical texts of the 18th century, but also, arguably the most important work of immaterialism. After his death ""Principes de la Nature et de la Grace fondés en raison"" appeared in French in the Netherlands. Without having seen this publication, Christian Wolff and collaborators had assumed that it contained the French original of the ""Monadology"" as well, although this in fact remained unpublished until 1840. Thus it happened that Leibnitz' key philosophical text, which came to be known as ""The Monadology"", was printed in German and Latin ab. 120 years before it appeared in the original French. The German translation appeared in 1720 as ""Lehrsätze über die Monadologie"" and the following year the Latin translation appeared, in Acta Eruditorum, as ""Principia philosophiae"". Three manuscript versions of the text exist: the first written by Leibniz and overcharged with corrections and two further emended copies with some corrections appearing in one but not the other. ""Leibniz was one of the last ""universal men"" of the type which the Italian Renaissance had ideally postulated: philosopher, historian, mathematician, scientist, lawyer, librarian, and diplomat. In all these fields either all his actual achievements or his seminal suggestions have become part and parcel of European thought. Although trained for the law, mathematics was his favourite subject. Independently of Newton he worked out the infinitesimal calculus, introduced a number of mathematical symbols now in general use, and constructed an early calculating machine, the ancestor of our computers. Mathematical conceptions also determine his philosophy. In it, Leibniz tried to combine physics and metaphysics and to reconcile philosophy and theology. The ""essay on a Theodicy"" is the only larger philosophical work published by himself"" but his fame as a philosopher rests on his ""Theory of Monads"". The original French text of this was published for the first time in 1840"" but it had circulated in manuscript in its initial form of a letter addressed to Prince Eugene of Savoy (1714) and it was printed in German (1720) and Latin (1721) translations. Leibniz proclaimed a ""pre-established harmony"" of the universe which he explained as composed of hierarchically ordered ""monads"", i.e. the ultimate substances of mind as well as matter. This concept clearly reflects the ideal of the properly organized absolutist state of the baroque period and derives partly from the ""idées simples"" of Descartes whom Leibniz greatly admired. A generation later, Voltaire ridiculed the ""pre-established harmony"" in ""Candide"""" but modern nuclear science has vindicated Leibniz's basic ideas, albeit from different presuppositions."" (Printing and the Mind of Man, pp. 105-6). The ""Monadology"" is an extremely condense work that consists of 90 (in this Latin version, 93) numbered sections/paragraphs, which outline a metaphysics of a single substance. The Monadology ends the dualistic mind-body-problem of Descartes and offers a new solution to the question of the interaction between mind and matter, by explaining the pre-established harmony and the synchronous (not causal) relationship between the realm of final causes and that of efficient causes. Leibniz' groundbreaking work came to profoundly influence not only 18th century thought, but also much later philosophy and logic. For this we have to thank Christian Wolff, the translator of the ""Monadology"" into Latin and the first reviewer of the work. It is through Wolff and his elaboration of the development of Leibniz' speculative and metaphysical views that Leibniz becomes a recognized figure of importance, particularly in Germany from the 1720'ies onwards, where Wolff's writings were standardly studied. ""Notably, Wolff's Leibnizianism made a deep impact on Kant, in whose ""Critique of Pure Reason"" (1781) Leibniz himself came to figure as one of the main targets of Kant's anti-metaphysical programme. In particular, Kant saw Leibniz as pretending to ""a priori"" knowledge of the world as it is in itself and presented his own claim that the only knowledge we can have is of the world as it appears in our experience as sharply opposed to the Leibnizian vision. [...] today shows that his thought has survived even the extreme empiricism of the Vienna Circle in the 1930s, which would have viewed its principal doctrines as unverifiable and hence utterly meaningless. Although not in evidence in the ""Monadology"" itself, one of Leibniz' preoccupations was with the philosophy of logic and language, and the twentieth-century's concern for those topics has discovered in what he had to say about them a treasure house of good sense and wisdom which can be detached from the less appealing of his metaphysical speculations. Then, more recent writers who have been interested in the metaphysics of possibility and necessity have found inspiration in the Leibnizian image of possible worlds, and that too has helped keep his name alive for us."" (Savile, ""Leibniz and the Monadology"", pp. 6-7). ""The long span of Leibniz' intellectual life and his early involvement with philosophy made for engagement with a wide variety of philosophical traditions and issues. Early studies at home exposed him to the thought of the Scholastics"" during his university years he was something of a materialist, influenced by the atomism of Bacon and Gassendi. In his mid-20s and early 30s, becoming disenchanted with the intellectual prospects for materialist thought, he turned towards the sort of immaterialism that came to shape his mature thinking after the decade between 1675 and 1685 when he was more narrowly concerned with mathematics than philosophy. It is this anti-materialism that is epitomized in the ""Monadology"" itself...Although Leibniz produced a prodigious quantity of philosophical writing very little of it was published in his lifetime"" indeed, very little was intended for publication. For the most part..., his philosophical thoughts were prepared for individual scholars he had met, or with whom he corresponded, and were never presented as a worked-out system... it was not until the last period of his life that he found the time and the impetus to set down the whole, which he did in two condensed papers written in French during a visit to Vienna.The more popular and less taxing of these was the ""Principles of Nature and Grace Founded on Reason"", which he prepared for Prince Eugène of Savoy, and the second, which he had been asked to write by the councellor of the Duke of Orleans, Nicolas Remond, but never sent off, was the ""Principles of Philosophy"" or, as he called it ""Elucidation Concerning Monads"" ... The title by which that work is known today, ""Monadology"", was not one that Leibniz ever gave it, but was invented by the work's first editor, Henrich Kohler, who published it in a German translation under that title in 1720."" (Savile, ""Leibniz and the Monadology"", pp. 3-4). ""Gottfried Wilhelm Leibniz (1646-1716) was one of the great thinkers of the seventeenth and eighteenth centuries and is known as the last ""universal genius"". He made deep and important contributions to the fields of metaphysics, epistemology, logic, philosophy of religion, as well as mathematics, physics, geology, jurisprudence, and history. Even the eighteenth-century French atheist and materialist Denis Diderot, whose views were very often at odds with those of Leibniz, could not help being awed by his achievement, writing in his entry on Leibniz in the Encyclopedia, ""Perhaps never has a man read as much, studied as much, meditated more, and written more than Leibniz... What he has composed on the world, God, nature, and the soul is of the most sublime eloquence. If his ideas had been expressed with the flair of Plato, the philosopher of Leipzig would cede nothing to the philosopher of Athens."" (""Oeuvres complètes"", vol. 7, p. 709) Indeed, Diderot was almost moved to despair in this piece: ""When one compares the talents one has with those of a Leibniz, one is tempted to throw away one's books and go die quietly in the dark of some forgotten corner."" (""Oeuvres complètes"", vol. 7, p. 678) More than a century later, Gottlob Frege, who fortunately did not cast his books away in despair, expressed similar admiration, declaring that ""in his writings, Leibniz threw out such a profusion of seeds of ideas that in this respect he is virtually in a class of his own."" (""Boole's logical Calculus and the Concept-script"" in ""Posthumous Writings"", p. 9)."" (SEP).Ravier: 357(PMM 177b - being the Latin translation)‎

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‎Leibniz (God. Guil.) - Jean Peyroux ed.‎

Reference : 100477

(1983)

‎Oeuvre concernant le calcul infinitésimal suivi de Receuil de diverses pièces sur la dispute entre MM. Leibniz et Newton, d'un fragment du Traité du sinus du quart du cercle de Blaise Pascal et d'un fragment de la méthode pour le maximum et le minimum à rechercher de Pierre de Fermat , Traduit pour la première fois du latin en français, avec un avertissement et des notes par Jean Peyroux‎

‎Librairie Scientifique Albert Blanchard Malicorne sur Sarthe, 72, Pays de la Loire, France 1983 Book condition, Etat : Bon broché, sous couverture imprimée éditeur bleu ciel, illustrée d'une vignette avec un portrait de Leibniz In-4 1 vol. - 144 pages‎


‎quelques figures dans le texte en noir et blanc 1ere traduction de Jean Peyroux de 1983 Contents, Chapitres : Avertissement du traducteur de novembre 1983 - 1. Leibniz : Nouvelle méthode pour les maxima et les minima - De la géométrie peu accessible et de l'analyse des indivisibles et des indéterminés - D'une ligne issue de lignes - Construction d'une voûte, supplément de géométrie - Nouvelle application du calcul différentiel - Considérations sur la différence qu'il y a entre l'analyse ordinaire et le nouveau calcul des transcendantes - Structure particulière d'un problème - Réponse à quelques difficultés - Mémoire de M. Leibniz touchant son sentiment sur le calcul différentiel - Extrait d'une lettre de Leibniz à Varignon - Nouvel exemple d'analyse pour la science de l'infini, sur les sommes et les quadratures - Continuation de l'analyse des quadratures rationnelles - Lettre à Chrétien Wolf - Remarques - Symbolisme à rappeler du calcul algébrique et infinitésimal - Lettre au R.P. Tournemine, à Dangicourt - 2. Receuil de diverses pièces sur la dispute entre MM. Leibniz et Newton : Lettres diverses et correspondance (41 pages) - 3. Fragment du Traité du sinus du quart du cercle de Blaise Pascal - 4. Fragment de la méthode pour le maximum et le minimum à rechercher de Pierre de Fermat - 5. Notes du traducteur - Le développement du calcul infinitésimal est attribué à Archimède, Fermat, Leibniz et Newton. Cependant, lorsque le calcul infinitésimal a été initialement développé, une controverse fut soulevée sur qui en avait la paternité entre Leibniz et Newton, occultant auprès du grand public l'apport de Fermat. L'algorithme du passage à la limite pour calculer la tangente à une courbe est en effet une invention de Fermat (méthode des maxima et minima) en 1636 et était public dès 1667, car rapporté par Huygens à l'Académie des sciences. Les évolutions ultérieures, de Leibniz et Newton (qui étaient en rapport avec Huygens), portent sur les notations. La contribution majeure de Leibniz fut sans conteste son système de notation. La controverse fut cependant malheureuse car elle a divisé pendant de nombreuses années les mathématiciens anglophones et ceux du reste de l'Europe. Cela a retardé le progrès de l'analyse (mathématiques basées sur le calcul infinitésimal) en Grande-Bretagne pendant longtemps. La terminologie et les notations de Newton étaient clairement moins flexibles que celles de Leibniz. Elles furent malgré tout conservées jusqu'au début du xixe siècle lorsque le travail de l'Analytical Society introduisit avec succès la notation de Leibniz en Grande-Bretagne. Barrow, Descartes, Huygens et Wallis contribuèrent également dans une moindre mesure au développement du calcul infinitésimal. (source : Wikipedia) quelques rousseurs sur le bord des plats, sinon très bon état, intérieur frais et propre, typographie ordinaire - Wrappers very lightly yellowing, with minor foxings on the boarders, else fine copy, no markings, please note that it's an ordinary printing and not a prestigious edition‎

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‎LEIBNIZ (LEIBNITZ), G.F. - DENYS PAPIN - JAKOB BERNOULLI.‎

Reference : 41661

(1689)

‎De Lineis Opticis, et alia" Excerpta ex literis ad--- (+) Schediasma de Resistentia Medii, & Motu projectorum gravium in medio resistente. (+) Tentamen de Motuum Coelestium causis. (+) De Linea Isochrona, in qua grave sine acceleratione descendit, & d... - [THE WAR OF THE GIANTS NEWTON AND LEIBNIZ ON THE WORLD SYSTEM]‎

‎Leipzig, Grosse & Gleditsch, 1689. 4to. Contemporary full vellum. Faint hand-written title to spine. A small stamp on title-page. In: ""Acta Eruditorum Anno MDCLXXXIX"". (8), 653, (7) pp. and 15 engraved plates. As usual with various browning to leaves and plates. The entire volume offered. Leibniz's papers: pp. 36-38 a. 1 engraved plate" pp. 38-46 pp. 82-89 a. 1 engraved plate" pp. 195-198.‎


‎First printing of these extremely important papers, in which Leibniz claimed that he independently of Newton had discovered the principal propositions of his ""Principia"" and which present us with Leibniz's fundamental physico-mathematical theory, his dynamics, his concepts of force, space and time. The ""Tentamen..."" constitutes Leibniz's response to Newton's theories about the motion of the celestial bodies. Leibniz can be said to have anticipated the modern mathematical principle of relativity, as it is his idea of individual co-ordinate systems and his practical rejection of the Galilean co-ordinate system that Newton adopted. Leibniz opposes Newton's ideas of attractions (gravitational forces) and calls them ""occult qualities"". The task of the ""Tentamen..."" was to attain a theory mathematically equivalent to Newton's in accounting for planetary motion and especially for the inverse-square law of Kepler's laws, but physically sound and capable of explaining the causes of phenomena.Newton attacked Leibniz's claim of priority in his anonymously published paper ""Commercium epistolicum"" (Phil. Transactions 1714), and states that ""in those tracts the principal propositions of that book are composed in a new manner, and claimed by Mr. Leibniz as if he had found them himself before the publishing of the said book. But Mr. Leibniz cannot be a witness in his own cause. It lies upon him either to prove that he had found them before mr. Newton, or to quit his claim."" The features of Leibniz's mathematical representation of motion as put forward in ""Tentamen..."" are, (see D.B. Meli: Equivalence and Priority. Newton versus Leibniz. pp. 90-91):- Empty space does not exist. The world is filled with a variety of fluids which are responsible for physical actions, including gravity.- Living force and its conservation are the fundamental notion and principle respectively, in the investigation of nature, however, they do not figure prominently in the study of planetary motion.- Finite and infinitesimal variables are regularly employed in the study of motion and of other physical phenomena. Living force and velocity are finite" solicitation and conatus are infinitesimal.- Accelerated motion, whether rectilinear or curvilinear, is represented as a series of infinitesimal uniform rectilinear motions interrupted by impulses. I call this 'polygonal representation'. Usually the polygon is chosen in such a way that each side is traversed in an equal element of time dt. In polygonal representations accelerations are reduced to a macroscopic phenomenon.- Propositions are often used to safeguard dimensional homogeneity. Constant factors - such as numerical factors, mass, and the element of time - are usually ignored in the calculations.Denys Papin's papers:1. Descriptio Torcularis, cujus in Actis Anni 1688 pag. 646 mentio facta a suit... and 1 plate. Pp. 96-101.2. De Gravitatis Causa et proprietatibus Observationes. Pp. 183-188.3. Examen Machinæ Dn. Perrault. Pp. 189-195 a. 1 plate.4. Rotatilis Suctor et Pressor Hasciacus, in Serenissima Aula Cassellana demonstratus & detectus. Pp. 317-322 a. 1 plate.5. In J.B. Appendicem Illam Ad Perpetuum Mobile, Actis Novemb.A. 1688 p. 592...Pp. 322-324 a. 1 plate.6. Excerpta et Litteris Dn. Dion Papini ad --- de Instrumentis ad flammam sub aqua conservandam. Pp. 485-489 a. 1 plate.With the paper describing and depicting Papin's famous invention of the CENTRIFUGAL PUMP. ( Rotatilis Suctor et Pressor Hasciacus, in Serenissima Aula Cassellana demonstratus & detectus. - The paper offered (no.4).Jakob Bernoulli's papers:1. De Invenienda Cujusque Plani Declinatione, ex unica observatione projectæ a flylo umbræ. Pp. 311-316 a. 1 plate.2. Vera Constructio geometrica Problematum Solidorum & Hypersolidorum, per rectas lineas & circulos. Pp. 586-588 a. 1 plate.3. Novum Theorema Pro Doctrina Sectionum Conicarum. Pp. 586-588 a. 1 engraved plate.‎

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‎Leibniz (God. Guil.) - Jean Peyroux ed.‎

Reference : 100479

(1985)

‎Oeuvre concernant la physique suivi d'extraits de la méthode du maximum et du minimum de Fermat, de la Dioptrique et des Principes de Descartes , Traduit pour la première fois du latin en français, avec un avertissement et des notes par Jean Peyroux‎

‎Librairie Scientifique Albert Blanchard Malicorne sur Sarthe, 72, Pays de la Loire, France 1985 Book condition, Etat : Bon broché, sous couverture imprimée éditeur bleu ciel, illustrée d'une vignette avec un portrait de Leibniz In-4 1 vol. - 157 pages‎


‎quelques figures dans le texte en noir et blanc 1ere traduction de Jean Peyroux de 1985 Contents, Chapitres : Avertissement du traducteur - Notice de l'optique avancée- Lettre sur l'horloge portative - Unique principe d'optique - Nouvelle démonstration sur la résistance des solides - Démonstration géométrique de la règle reçue en statique - Brève démonstration de l'erreur de Descartes - Courte remarque de l'abbé Conti, réponse de Leibniz - Au sujet des lignes optiques- Sur la résistance du milieu - Sur les causes des mouvements célestes - Sur la ligne isochrone - Sur la cause de la gravité - Sur la ligne flexible - Sur les solutions du problème de la chainette - Sur les lois de la nature - De la composition des mouvements - Exemple de dynamique - Petite note sur la construction - Remarque sur l'improvisation de David Grégory - Lettre à Varignon - Essai sur la nature des résistances dans les machines - 3 lettres à Christian Golbach - Appendices - Leibniz, comme de nombreux mathématiciens de son temps, était aussi physicien. Bien qu'il soit aujourd'hui connu pour sa métaphysique et sa théorie de l'optimisme, Leibniz s'est imposé comme une des principales figures de la révolution scientifique au même titre que Galilée, Descartes, Huygens, Hooke et Newton. Leibniz est devenu très tôt mécaniste, vers 1661, alors qu'il étudiait à Leipzig, comme il le relate dans une lettre à Nicolas Rémond. Cependant, une différence profonde le sépare d'Isaac Newton : si Newton considère que « la physique se garde de la métaphysique » et cherche à prévoir les phénomènes par sa physique, Leibniz cherche à découvrir l'essence cachée des choses et du monde, sans chercher à obtenir des calculs précis à propos de phénomènes quelconques. D'ailleurs jamais il n'employa son calcul infinitésimal pour expliquer les lois de la nature. Il en est venu ainsi à reprocher à René Descartes et à Newton de ne pas savoir se passer d'un Deus ex machina (une raison divine cachée) dans leurs physiques, car celles-ci n'expliquaient pas tout ce qui est, ce qui est possible et ce qui n'est pas. Leibniz a inventé le concept d'énergie cinétique, sous le nom de « force vive ». Il s'oppose à l'idée de Descartes que la quantité mv (qu'on appelait à cette époque force motrice ou quantité de mouvement) se conservait dans les chocs, indépendamment des directions du mouvement. - Le principe de moindre action a été découvert en 1740 par Maupertuis. En 1751, Samuel König affirma avoir une lettre de Leibniz, datée de 1707, dans laquelle il énonçait ce même principe, donc bien avant Maupertuis. L'Académie de Berlin chargea Leonhard Euler de se pencher sur le problème de l'authenticité de cette lettre. Euler fit un rapport, en 1752, où il conclut à un faux : König aurait inventé l'existence de cette lettre de Leibniz. Ce qui n'empêche pas Leibniz d'avoir, en optique, avancé un énoncé (sans formalisme mathématique) proche du principe de Fermat, vers 1682. Dans ses Philosophiae naturalis principia mathematica, Isaac Newton conçoit l'espace et le temps comme des choses absolues. Dans sa correspondance avec Samuel Clarke, qui se fait l'avocat des idées de Newton, Leibniz réfute ces idées et propose un système alternatif. Selon lui, l'espace et le temps ne sont pas des choses dans lesquelles se situent les objets, mais un système de relations entre ces objets. L'espace et le temps sont des « êtres de raison », c'est-à-dire des abstractions à partir des relations entre objets. (source : Wikipedia) quelques rousseurs sur le bord des plats, sinon très bon état, intérieur frais et propre, typographie ordinaire - Wrappers very lightly yellowing, with minor foxings on the boarders, else fine copy, no markings, please note that it's an ordinary printing and not a prestigious edition‎

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‎Costabel (Pierre) - Leibniz (sur)‎

Reference : 101440

(1981)

‎Leibniz et la dynamique en 1692 - Textes et commentaires (Essay de dynamique ou Essai)‎

‎Librairie Philosophique J. Vrin , Vrin Reprise Malicorne sur Sarthe, 72, Pays de la Loire, France 1981 Book condition, Etat : Très Bon broché, sous couverture imprimée éditeur grise In-8 1 vol. - 154 pages‎


‎quelques figures dans le texte en noir reprint de 1981, la première édition de 1960 a été assez largement augmentée de 40 pages Contents, Chapitres : Avant-propos, viii, Texte, 146 pages - Itroduction - 1. De l'histoire d'une découverte à la découverte d'une histoire : Découvertes de deux manuscripts leibniziens - Identification du copiste, physionomie de Des Billettes - Leibniz et la dynamique - Données de la correspondance Leibniz-Pelisson - Circonstances et motifs de l'exécution des copies - Echec de la tentative visant le P. Malebranche - Echec auprès de l'Académie des Sciences- 2. L'Essay de dynamique : Etat du texte, correction de la version Foucher de Careil - La controverse de 1687, Leibniz-Catelan - Affermissement de la pensée leibnizienne - Les catégories leibniziennes - La cohérence logique de l'Essay de 1692 - L'opposition force vive et force morte - Le défaut de la conception leibnizienne - 3. La régle générale de la composition des mouvements : Etat du texte, comparaison et datation - Le problème de Tschirnhaus - La solution de Fatio et Duillier - Fatio et Huygens - La solutions de Huygens - La solution de Leibniz - La composition des mouvements - 4. Documents annexés : Version intégrale de l'Essay de dynamique de Leibniz de 1692 - Edition synoptique des deux textes de la Règle générale de la composition des mouvements - Index des noms, des notions, bibliographie - Contribution à l'étude de l'offensive de Leibniz contre la philosophie cartésienne en 1692-1693 par Pierre Costabel - En 1690, Leibniz séjourne à Florence8, où il rencontre Vincenzo Viviani, qui fut élève de Galilée, avec qui il parle de mathématiques. Il se lie d'amitié avec Rudolf Christian von Bodenhausen, précepteur des fils du grand-duc de Toscane Cosme III, à qui il confie le texte encore inachevé de la Dynamica (« Dynamique »), où il définit la notion de force et formule un principe de conservation. Après un bref passage à Bologne, Leibniz se rend à Modène où il poursuit ses recherches historiques. - En 1691, il publie à Paris, dans le Journal des savants, un Essai de dynamique où il introduit les termes énergie et action (source : Wikipedia) "bel exemplaire, frais et propre, exemplaire non coupé - Cette nouvelle édition a été augmentée d'un texte de Pierre Costabel en fin d'ouvrage : ""Contribution à l'étude de l'offensive de Leibniz contre la philosophie cartésienne..."" (22 pages)"‎

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‎"LEIBNIZ (LEIBNITZ), G.F. - CHRISTIAAN HUYGENS - JOHANN BERNOULLI - JACOB BERNOULLI ET AL. - THE DISCOVERY OF THE ""CATENARY CURVE"" , THE ""LOGARITHMIC CURVE"" AND THE ""POLAR COORDINATES"".‎

Reference : 41859

(1691)

‎1. De Linea in quam Flexile se pondere proprio curvat, ejeuque usu insignia adinveniendi quotcunque medias proportionales & Logarithmos. - 2. De Solutionibus Problematis Catenarii vel Funicularis in Actis A. 1691, aliisque a Dn. I.B. propositis. (1-2:...‎

‎Leipzig, Grosse & Gleditsch, 1691. 4to. Contemp. full vellum. Faint handwritten title on spine. a small stamp on titlepage. In: ""Acta Eruditorum Anno MDCLXXXXI"". (8),590,(6) pp. and 13 (of 15) folded engraved plates. The 2 first plates lacks, but they do not belong to the papers listed.Leibniz' papers: pp.277-281 a. 1 plate, pp. 435-439. Johann Bernoulli: pp. 274-276 a. 1 plate. Huygens: pp. 281-282. - Jacob Bernoulli: pp. 282-290 a. 1 plate.‎


‎All papers first apperance. All 5 of extreme importence in the development of the Calculus. Leibniz' 2 papers on the catenary curve (paper 1-2 offered here) was written at the instigation of Jacques Bernoulli. Following the example of Blaise Pascal, who had initiated, in 1658, a contest for the construction of the cycloid, Leibniz also provoked the geometers of his time, by challenging them to submit, at the fixed date of mid-1691, their geometric method for the construction of the catenary curve. Leibniz later provided the answer, followed by Johann Bernoulli and Huygens.'These two papers are a historical account of the origin of the study of this transcendental curve, and, at the same time, the first physical-geometric construction showing the species-relationship between the catenary and the logarithmic curves, as two companion curves" one arithmetic, the other geometric. All of the differentials of the catenary curve, are arithmetic means of corresponding differentials of the logarithmic curve" and, all of the differentials of the logarithmic curve, are geometric means of the catenary.'""The Catenary is the form of a hanging fully flexible rope or chain (the name comes from ""catena"", which means 'chain'), suspended on two points. The interest in this curve originated with Galileo, who thought that is was a parabola. Young Christiaan Huygens proved in 1646 that this cannot be the case. What the actual form was remained an open question till 1691, when Leibniz, Johann Bernoulli and the then much older Huygens sent solutions to the problem to the ""Acta"" (Jakob Bernoulli, 1690, Johann Bernoulli 1691, Huygens 1691 and Leibniz 1691), - these 4 1691-papers offered here - in which the previous year Jakob Bernoulli had challenged mathematicians to solve it. As published, the solutions did not reveal the methods, but through later publications of manuscripts these methods have been known. Huygens applied with great ( paper 4) virtuosity the by then classical methods of 17th century infinitesimal mathematics, and he needed all his ingenuity to reach a satisfactory solution. Leibniz ( the papers 1-2) and Bernoulli (paper 3), applying the new Calculus, found the solutions in a much direct way. In fact, the catenary was a test-case between the old and the new style in the study of curves, and only because the champion of the old style was a giant like Huygens, the test-case can formally be considered as ending in a draw."" (Grattan-Guiness in ""From the Calculus to Set Theory, 1630-1910."").The paper by JACOB BERNOULLI ( no. 5 offered here) is a milestone papers as it marks the invention of the ""SYSTEM OF POLAR COORDINATES"" with points located by reference to a fixed point and a line through that point. Although newton had earlier also devised such a coordinate system (in 1671), his work was not known, so that the credit for the discovery generally goes to Bernoulli. (Parkinson, Breakthroughs (1691).Further papers contained in this volume of Acta Eruditorum:DENYS PAPIN: Mecanicorum de Viribus Motricibus sententia, asserta a D. Papino adversius C.G.G. L. (Leibniz) objectiones. pp. 6-13. The plate lacks. - and Dion. Papini Observationes quaedam circa materias ad Hydraulicam spectantes. Pp. 208-213 a. 1 plate. This importent paper is part of the LEIBNIZ-PAPIN-CONTROVERSY.JACOB BERNOULLI: Specimen Calculi Differentialis in dimensione Parabolæ helicoidis, ubi de flexuris curvarum in genere, carundem evolutionibus. Pp. 13-22. The plate lacks. - and J.B. Demonstratio Centri Oscillationis ex Natura Vectis, reperta occassione eorum, quæ super hac materia in Historia Literaria Roterodamensi recensentur, articulo...Pp.317-321.LEIBNIZ: O.V.E. Additio ad Schediasma de Medii Resistentia publicatum in Actis mensis Febr. 1889. Pp. 177-178. and O.V.E. Quadratura Arithmetica Communis Sectionum Conicarum quæ centrum babent,...Pp. 178-182 a. 1 plate.TSCHIRNHAUS: Singularia Effecta Vitri Caustici bipedalis, quod omnia magno sumtu hactenus constructa specula ustoria virtute superat, per D.T. Pp. 517-520‎

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‎Revue d'Histoire des Sciences - Leibniz (sur) - Michel Blay et Michel Serfati - Eberhard Knobloch - Jacques Bouveresse - Alain Niderst - Olivier Darrigol - Marc Parmentier - Laurence Devillairs - Gérard Simon - Danielle Fauque- Guy Boistel sur R.J. Boscovitch et Esprit Pezenas‎

Reference : 100352

(2001)

‎Revue d'Histoire des Sciences - Tome 54, n° 2 - Avril-Juin 2001 et n° 3 - Juillet-Septembre 2001 et Revue d'Histoire des Sciences - Tome 54, n° 3 - Juillet-Septembre 2001 - Mathématiques et physique leibniziennes (2 volumes) - Leibniz (complet) , (Déterminants et élimination chez Leibniz - Mathématiques et pensée symbolique chez Leibniz - Mathématiques et logique chez Leibniz - Démonstrations et infiniment petits dans la Quadratura arithmetica de Leibniz - De l'apparition subreptice des futures formules de conservation à l'occasion de l'algorithmisation de la science du mouvement au tournant des XVIIe et XVIIIe siècles - L'immutabilité divine comme fondement des lois de la nature chez Descartes et les éléments de la critique leibnizienne‎

‎Presses Universitaires de France - P.U.F. , Revue d'Histoire des Sciences Malicorne sur Sarthe, 72, Pays de la Loire, France 2001 Book condition, Etat : Bon broché, sous couverture imprimée éditeur blanche, titre en bleu et noir grand In-8 2 vol. - 274 pages‎


‎ 1ere édition, 2001 "Contents, Chapitres : Pagination : Volume 1, n° 2 (pages 139 à 272, 133 pages), Volume 2, n° 3 (pages 273 à 412, 139 pages), soit un total de 272 pages - VOLUME 1. (1ere partie) : 1. Articles : Michel Blay et Michel Serfati : Présentation - Eberhard Knobloch : Déterminants et élimination chez Leibniz - Michel Serfati : Mathématiques et pensée symbolique chez Leibniz - Jacques Bouveresse : Mathématiques et logique chez Leibniz - 2. Documentation : Alain Niderst : La géométrie et ses réalités, à propos des Eléments de la la géométrie de l'infini de Fontenelle - Olivier Darrigol : Revue critique sur l'ouvrage de Peter Galison, ""Image and Logic"" - Analyses d'ouvrages - VOLUME 2. (2eme partie) : 1. Articles : Marc Parmentier : Démonstrations et infiniment petits dans la Quadratura arithmetica de Leibniz - Michel Blay : De l'apparition subreptice des futures formules de conservation à l'occasion de l'algorithmisation de la science du mouvement au tournant des XVIIe et XVIIIe siècles - Laurence Devillairs : L'immutabilité divine comme fondement des lois de la nature chez Descartes et les éléments de la critique leibnizienne - 2. Varia : Gérard Simon : Optique et perspective, Ptolémée, Alhazen, Alberti - Danielle Fauque : Du bon usage de l'éloge, cas de celui de Pierre Bouguer - 3. Documentation : Guy Boistel : Documents inédits des pères jésuites R.J. Boscovitch et Esprit Pezenas sur les longitudes en mer - Analyses d'ouvrages" "Bon ensemble complet en 2 tomes homogènes de cette série ""Mathématiques et physique Leibnizienne"", dans la Revue d'Histoire des Sciences de 2001, intérieur frais et propre"‎

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‎"LEIBNITII, GODOFREDI GUILIELMI. (GOTTFRIED WILHELM LEIBNIZ) & BERNOULLII (IACOBI). (JACOB BERNOULLI) & BERNOULLII (IOHANNIS). (JOHANN BERNOULLI).‎

Reference : 42860

(1695)

‎Specimen Dynamicum (+) Notatiuncula Constructiones Lineae in qua Sacoma aequilibrium cum pondere moto faciens incedere debet. Et quaedam de Quadraturis (+) Resposio ad nonnullas Difficultates a Bern. Nieuwentüt circa Methodum differentialem motas (+) ... - [FIRST PUBLICATION OF THE ""BERNOULLI EQUATION"".]‎

‎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.)‎

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‎"LEIBNIZ, GOTTFRIED & JOHANN BERNOULLI & JAKOB BERNOULLI & EHRENFRIED WALTHER VON TSCHIRNHAUS.‎

Reference : 42863

(1696)

‎Supplementum defectus geometria Cartesianae circa inventionem locorum. [Joh. Bernoulli] + [Two other papers]. Notatiuncula ad acta decemb. 1695. [LEIBNIZ]. - [THE BRACHISTOCHRONE PROBLEM]‎

‎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.‎

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‎LEIBNIZ (Gottfried Wilhelm, Freiherr von), EMERY (Jacques André) éditeur‎

Reference : 36777

‎Pensées de Leibniz sur la religion et la morale. Seconde Edition de l'Ouvrage intitulé 'Esprit de Leibniz', considérablement augmenté.‎

‎ 2 volumes in-8, demi-basane fauve de l'époque, dos lisses ornés de roulettes et de fleurons dorés, pièces de titre et de tomaison de maroquin rouge, tanches mouchetées, lxxvj, 310 p. et (2) f., 511 p. Paris, Vve Nyon, et la Librairie de la Société Typographique, An XI - 1803.‎


‎Seconde édition, la première sous ce titre, de cette synthèse de la doctrine leibnizienne augmentée d'un important "Discours préliminaire" (76 p.), de l'éloge de Leibniz par Fontenelle, de la controverse entre Leibniz et Bossuet sur la réunion des luthériens à l'Église romaine et d'une importante partie consacrée à la Morale chez Leibniz.Contient en fin, les "Principes de la philosophie de Leibniz", opuscule composé par Leibniz lui-même en 1714, résumé de sa doctrine en 93 petits chapitres, à destination du Prince Eugène de Savoie.(France littéraire, III, 19-20).Mors fendus, dos frottés avec manques en pied, rousseurs. ‎

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‎NOURRISSON (J.B.) -- LEIBNIZ‎

Reference : 65080

‎LA PHILOSOPHIE DE LEIBNIZ. Ouvrage couronné par l'Institut -- EDITION ORIGINALE -- BEL EXEMPLAIRE‎

‎P., Hachette, 1860, un volume in 8 relié en pleine toile beige, étiquette de titre en maroquin rouge (reliure postérieure), (2), 8pp., 502pp.‎


‎---- EDITION ORIGINALE ---- BEL EXEMPLAIRE ---- "J.F. NOURISSON, philosophe français, membre de l'Institut, fut professeur au Collège de France" ---- Origines de la philosophie de LEIBNIZ (éducation, premiers écrits, correspondance antérieure à 1672, LEIBNIZ en France) - Polémique de LEIBNIZ (contre DESCARTES, SPINOZA, LOCKE, rôle de LEIBNIZ pendant la persécution du cartésianisme) - La monadologie - La loi de la continuité - L'harmonie préétablie - Théodicée de LEIBNIZ**65080/6508/P3‎

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‎"(TSCHIRNHAUS, EHRENFRIED W. von.). - URGING LEIBNIZ TO PUBLISH ON THE CALCULUS.‎

Reference : 45599

(1683)

‎Methodus datae figurae, rectis lineis & curva Geometrica terminate, aut Quadraturam, aut impossibilitatem ejusdem Quadraturae determinandi. (+) Nova Methodus determinandi Maxima & Minima.‎

‎Leipzig, Grosse & Gleditsch, 1683. 4to. Without wrappers. In: ""Acta Eruditorum Anno MDCLXXXIII"", No.III + X (March and October issues). Pp. 81-128 + pp. 417-464 a. 2 engraved plates. (Entire issues offered). Tschirnhaus's papers: pp. 122-124 + pp. 433-437. Some browning as usual.‎


‎First appearance of Tschirnhaus's two papers in which he used infinitisimal methods which were very close to Leibniz's method and where he tried to lay down criteria for rational quadratures in the case of conic, cubic and quadratic curves, papers that led Leibniz to publish his first paper on the differential calculus, the ""Nova Methoda"" in the Acta for 1684 in order to secure his priority over Tschirnhaus concerning the calculus. Leibniz discovered, when he read Tschirnhaus' papers, that Tschirnhaus had here published results showing similarity with Leibniz's invention of the calculus as he had confided to Tschirnhaus earlier, during their Parisian stay, and this without references to Leibniz.The second issue contains an original paper by LEIBNIZ: ""Meditatio Juridico-Mathematica de Interusurio simplice"". Pp. 425-32.‎

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‎COUTURAT (L.) -- LEIBNIZ‎

Reference : 6634

‎La logique de Leibniz d'après des documents inédits -- EDITION ORIGINALE -- TRES BEL EXEMPLAIRE‎

‎P., Alcan, 1901, un fort volume in 8 relié en demi-maroquin marron à coins, tête dorée (reliure de l'époque), 14pp., 608pp.‎


‎---- EDITION ORIGINALE ---- TRES BEL EXEMPLAIRE relié en demi-maroquin à coins, tête dorée (reliure de l'époque) ---- "While in Hannover in 1900-1901 Couturat had access to the unpublished works of Leibniz in the Royal Library. His researches resulted in the publication of La logique de Leibniz... The Leibniz studies brought Couturat into contact with Bertrand Russell and led to his influential edition of Russell's Principia mathematica, with analytical commentary on contemporary works on the subject. Bergson then chose Couturat as his assistant to the history of logic at the College de France". (DSB III PP. 455/456) ---- La syllogistique - La combinatoire - La langue universelle - La caractéristique universelle - L'encyclopédie - La science générale - La mathématique universelle - Le calcul logique - Le calcul géométrique - Précis de logique classique - Leibniz et Hobbes ; leur logique, leur nominalisme - Sur quelques inventions mathématiques de Leibniz qui se rapportent à la combinatoire et la caractéristique - Sur Leibniz fondateur d'académies - Sur le calcul géométrique de Grassmann - Notes**6634/K6‎

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‎Revue d'Histoire des Sciences - Michel Fichant sur Leibniz - Jean-Pascal Alcantéra sur Mariotte - Marc Parmentier -Michel Fichant - Vincent Jullien‎

Reference : 101043

(1993)

‎Revue d'Histoire des Sciences - Tome 46 (XLVI), n° 4 - Octobre-Décembre 1993 - Recherches leibniziennes (Leibniz) , (Leibniz lecteur de Mariotte - La caractéristique géométrique leibnizienne : Travail du discernement et relations fondamentales - Concepts juridiques et probabilistes chez Leibniz - Bibliographie leibnizienne - Les étendues géométriques et la ligne droite de Roberval)‎

‎Presses Universitaires de France - P.U.F. , Revue d'Histoire des Sciences Malicorne sur Sarthe, 72, Pays de la Loire, France 1993 Book condition, Etat : Bon broché, sous couverture imprimée éditeur blanche, titre en bleu et noir grand In-8 1 vol. - 219 pages‎


‎ 1ere édition, 1993 Contents, Chapitres : 1. Articles : 1.1. Recherches leibniziennes : 1.1.1. Michel Fichant : Leibniz lecteur de Mariotte - 1.1.2. Jean-Pascal Alcantéra : La caractéristique géométrique leibnizienne : Travail du discernement et relations fondamentales - 1.1.3. Marc Parmentier : Concepts juridiques et probabilistes chez Leibniz - 1.1.4. Michel Fichant : Bibliographie leibnizienne - 1.2 : Varia : 1.2.2. Vincent Jullien : Les étendues géométriques et la ligne droite de Roberval - 2. Analyses Couverture propre, à peine jaunie, sinon bel exemplaire, intérieur frais et propre - paginé 1 à 158‎

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‎Leibniz (Gottfried Wilhelm) sur Isaac Newton - E.A. Fellmann et J.F. Courtine‎

Reference : 101628

(1973)

‎Marginalia in Newtoni Principia Mathematica (1687) - Edition critique en langue allemande par E.A. Fellmann, traduction française de J.F. Courtine (Fac-similé de l'édition des Principa annotée par Leibniz avec ses marginalia - Texte allemand avec sa traduction française) , dans la collection L'Histoire des Sciences, Textes et Etudes (Isaac Newton), Travaux de l'Académie Internationale d'Histoire des Sciences n° 18‎

‎Librairie Philosophique J. Vrin , L'Histoire des Sciences, Textes et Etudes Malicorne sur Sarthe, 72, Pays de la Loire, France 1973 Book condition, Etat : Bon broché, sous couverture imprimée éditeur blanche, illustrée d'une figure grand In-8 1 vol. - 127 pages‎


‎quelques figures dans le texte en noir et blanc, 1 portrait de Leibniz et 1 portrait de Newton en début d'ouvrage (complet) 1ere édition française, 1973 Contents, Chapitres : Avertissement de Pierre Costabel - Vorword, préface - Einleitung, introduction - Marginalia, Transkriptionen, transcriptions - Kommentar, commentaires - Anstreichung und unterstreichungen im Original, passages remarqués et souilgnés par Leibniz - Schluss, conclusion - À Vienne, où il fait étape en attendant l'autorisation de François II de Modène de consulter les archives, Leibniz tombe malade et doit y rester quelques mois. Pendant ce temps, il lit le compte-rendu des Philosophiæ naturalis principia mathematica d'Isaac Newton, paru dans les Acta Eruditorum en juin 1688. En février 1689, il publie le Tentamen de motuum coelestium causis (« Essai sur les causes des mouvements célestes »), où il tente d'expliquer le mouvement des planètes à l'aide de la théorie des vortex de René Descartes, pour fournir une alternative à la théorie newtonienne qui recourt aux « force à distance » - Dans ses Philosophiae naturalis principia mathematica, Isaac Newton conçoit l'espace et le temps comme des choses absolues. Dans sa correspondance avec Samuel Clarke, qui se fait l'avocat des idées de Newton, Leibniz réfute ces idées et propose un système alternatif. Selon lui, l'espace et le temps ne sont pas des choses dans lesquelles se situent les objets, mais un système de relations entre ces objets. L'espace et le temps sont des « êtres de raison », c'est-à-dire des abstractions à partir des relations entre objets. (source : Wikipedia) couverture légèrement jaunie avec d'infimes traces de pliures aux coins des plats, intérieur sinon frais et propre, papier à peine jauni, cela reste un bon exemplaire‎

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‎LEIBNIZ (Gottfried Wilhelm, Freiherr von)‎

Reference : 38460

(1765)

‎Oeuvres philosophiques latines & françoises de feu Mr. De Leibnitz [sic]. Tirées de ses manuscrits qui se conservent dans la Bibliothèque royale à Hanovre, et publiées par Mr. Rud. Eric Raspe. Avec une préface de Mr. Kaestner ().‎

‎ 1765 In-4 (243 x 201 mm), demi-veau fauve de l'époque à petits coins, dos à 5 nerfs surlignés de filets gras dorés, pièce de titre de veau blond, tranches mouchetées, (4), xvi, (2), 540 p., (16) p. d'index et colophon, (1) f. d'errata, titre rouge et noir, grande vignette de titre emblématique gravée par O. de Fries. Amsterdam et Leipzig, Jean Schreuder, 1765 [Hanovre, Jérôme Michel Pockwitz, 1764].‎


‎Première édition des oeuvres collectives de Leibniz. Elle contient l'édition originale de 'Nouveaux essais sur l'entendement humain' qui occupe la majeure partie du volume (pages 1 à 496), avec la 'Théodicée' lun des deux seuls ouvrages majeurs que Leibniz parvint à compléter.Composé en 1703 pour nêtre publié quen 1765 dans ce recueil, louvrage se présente comme une réfutation systématique de 'l'Essai sur l'entendement humain' de John Locke sous forme dun dialogue imaginaire entre deux personnages: Philalète qui défend la position empiriste empruntée à Locke et Théophile qui soutient l'option rationaliste à laide des arguments forgés par Leibniz.Commentant son Essai, Leibniz déclara: "jai fort médité moi-même sur ce qui regarde les fondements de nos connaissances (). De toutes les recherches il ny a point de plus importante, puisque cest la clef de toutes les autres".Lédition a été publiée sur les manuscrits originaux par lérudit allemand Rudolf Erich Raspe et préfacée par Abraham Gotthelf Kaestner, mathématicien, professeur à l'université de Göttingen.Contient: Nouveaux essais sur l'entendement humain - Examen du sentiment du P. Malebranche que nous voyons tout en Dieu contre J. Locke - Dialogus de connexione inter res et verba, et veritatis realitate -- Difficultates quaedam logicae - Discours touchant la méthode de la certitude et de l'art d'inventer pour finir les disputes () - Historia et commendatio linguae charactericae universalis ().(Müller, 'Leibniz-Bibliographie', 2155. River, 472. Stojan, 56. Yolton, 'John Locke, a Reference Guide', C.1765-4).Bel exemplaire, très frais, grand de marges, très bien relié à lépoque. ‎

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‎"LEIBNIZ (LEIBNITZ), GOTTFRIED WILHELM.‎

Reference : 49802

(1719)

‎Tentamina Theodicaeae De Bonitate Dei Libertate Hominis Et Origine Mali / Latinè versa & Notationibus illustrata à M. D. L. (Barth. Des Bosses). Ab ipso Auctore emendata & auctiora. Tomus Primus (3 Parts, all). (Theodicy: Essays on the Goodness of God...‎

‎Franckfurt, Bencard, 1719. 8vo. Contemp. full vellum. A few small brownspots to covers. Large engraved titlevignette. (48),(40),408,(12) pp. 1 folded table (between p.48/49). Clean and fine.‎


‎Extremely scarce first Latin edition of Leibniz's hugely influential work ""Essais de Theodicée sur la Bonté de Dieu, la Liberté de L'Homme, et L'Origine du Mal"" (1710). It is his importent treatise on the goodnes of God, the free will of man and the causes of evil in the world, The principal subject of the work being the problem of liberty and free will. It is the only larger philosophical work published by Leibnitz himself.The ""Théodicée"" was a response to skeptical Pierre Bayle, who wrote in his work Dictionnaire Historique et Critique that, after rejecting three attempts to solve it, he saw no rational solution to the problem of evil.The work was composed at the instigation of Sophia Charlotte, with whom Leibniz had conversed concerning the views of Bayle. In response to a request from Prince Eugene for an abstract of the Théodicée, Leibniz in 1714 wrote the ""Principes de la nature et de la grâce fondées en raison and the Monadologie"".It is often the case, that this Latin edition is followed by the small work ""Causa Dei Asserta per Justitiam Ejus..."" (32) pp. This work is not withbound here.Ravier ""Bibliographie des Oeuvres de Leibniz"", No 344. - PMM (1710-edition).‎

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‎"[LEIBNIZ, GOTTFRIED WILHELM].‎

Reference : 44073

(1712)

‎Observatio, quod rationes sive proportiones non habeant locum circa quantitates nihilo minores, et de vero sensu methodi infinitesimalis. - [LEIBNIZ ON INFINITESIMALS]‎

‎Leipzig, Grosse & Gleditsch, 1712. 4to. In: ""Acta Eruditorum Anno MDCCXII"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 167-69. [Entire volume: (2), 555, (35) pp. + five engraved plates.].‎


‎First printing of one of Leibniz's latest publications in which he proposed an interpretation of infinitesimals by a comparison of bodies of different extensions. The paper is a response to to a problem raised by French philosopher and mathematician Antoine Arnauld, who wrote an important philosophical work known as ""The Logic of Port-Royal"" from 1662 and ""Geometry"", 1667. In the book he includes an example of symbolic rules that he considers to be against our basic intuitions on magnitudes and proportions. His reasoning goes as follows ""Suppose we have two numbers, a larger and a smaller one. The proportion of the larger to the smaller one should evidently be larger than the proportion of the smaller to the larger one. But if we use 1 as the larger number and - 1 as the smaller one this would lead to (1/-1) > (-1/1) which is against the rules of algebra"". (Heeffer, The Methodological Relevance of the History of Mathematics for Mathematics Education, 1992).Leibniz saw this as a genuine mathematical problem but argued that the division should be performed as a symbolic calculation. ""Following Leibniz, the infinite appeared in two forms as the (i) Contiuous infinite and (ii) the discrete infinite. The status of the differentials is closely related to the status of the infinite. [...] As a consequence, there is no clear and consistence distinction between continua of different kind related to (i) geometry and to (ii) mechanics. [...] Leinbiz did neither consequently argue mathematically or arithmetically nor consequently geometrically, phenomenologically and mechanically. [But] The correlation between mathematics and physics is as impressive as possible. (Suisky, Euler as physicist, 2009, p. 89-90).The volume also contains:Bernoulli, Johann. Angulorum arcuumque sectio indefinita per formulam universalem expressa. Pp. 274-277" 329-30.And many other papers by influential contemporary mathematicians, philosophers and historians.‎

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‎"[LEIBNIZ, GOTTFRIED WILHELM].‎

Reference : 44194

(1717)

‎Collectanea Etymologica illustrationi linguarum veteris Celticae (+) Elogium Godofredi Guiliemi Leibnitii (+) Problema Posthum ab incomparabili Viro Perillustri Dn. Godefrido Guilielmo Lib (+) Notitia de Historia Brunsuicensi. - [LEIBNITZ'S OBITUARY BY WOLFF IN ACTA ERUDITORUM]‎

‎Leipzig, Grosse & Gleditsch, 1717. 4to. In: ""Acta Eruditorum Anno MDCCXVII"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 317-322" Pp. 322-336 Pp. 353-360 Pp. 360-362. [Entire volume: (4), 553, (39) pp. + seven engraved plates.].‎


‎First printing of the famous Libnitz-issue of Acta Eruditorum published a year after the death of Leibnitz, including the renowned obituary by the German philosopher Christian Wolff. In 1706, Leibniz recommended Wolff for the Professorship at Halle, the post Wolff held for seventeen years until his dismissal, and in 1711, Leibniz sponsored Wolff's membership to the Berlin Academy. It is also mentioned that during the year of Leibniz's death in 1716, Leibniz visited Wolff in Halle when returning to Hanover from Vienna. To honor Leibnitz memory Wolff undertook the project of writing ELOGIUM GODOFREDI GUILIEMI LEIBNITII, a treatise of the life of Leibnitz. As early as 1679 George I, acting as Leibnitz patron, directed him to write the history of the house of Brunswick. Immediately after he began arranging material he had collected. The work was, however, only the preparatory steps when Leibnitz died in 1716 and the work was never published. The present paper, NOTITIA DE HISTORIA BRUNSUICENSI, is the only part of the work, which could have become a opus magnum with historiography, that has ever been published. The volume also contains:Goldbach, Christian. Temperamentum Musicum Universale. Pp. 114-15.And many other papers by influential contemporary mathematicians, philosophers and historians.‎

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‎LEIBNIZ (Gottfried Wilhelm)‎

Reference : 20467

‎Opera omnia‎

‎ Genève, Fratres de Tournes, 1768. 6 vol. in-4, [2]-CCXLIV-790 pp. 1 pl. + [2]-VIII-400-291 pp. 14 pl. + [2]-LV-663-[1] pp. 26 pp. + [2]-VIII-216-285-[2]-647-[1] pp. 1 pl. + VIII-632 pp. + VI-334-344 pp. 1 pl., veau porphyre de Bradel l'Aîné [Paul-François, au 105 rue Saint-Jacques], frise dorée en encadrement sur les plats, armes de France dorées au centre, dos long orné frises et fleurons dorés, pièces de titre et de tomaison noires, tranches dorées (manques et épidermures, coins émoussés, 1 petite déchirure marginale à la pl. du 6e tome, quelques rousseurs et taches, 3 pâles mouillures sans gravité, les pages 97 à 144 de la Logica manquantes, les pages de 97 à 130 de Chymia et les pages 131 à 144 de Medicina sont répétées et insérées dans la Logica dans le 2e volume ). ‎


‎Première édition complète des oeuvres de Leibniz établie par Dutens contenant également un éloge composé par Fontenelle, une vie du philosophe de J. Brucker et un texte philosophique sur la religion chez Leibniz de C. Kortholt. Elle est illustrée d'un portrait de l'auteur au frontispice gravé par P. Savart, de 42 planches, certaines dépliantes, représentant notamment des fossiles et sa célèbre machine à calculer, ainsi que des figures en noir dans le texte. Elle comporte l'étiquette de Bradel, rue Saint Jacques 105 et les armes de France couronnées sur une couronne de laurier, appartenant probablement à un collège royal. Il s'agit de l'exemplaire personnel du philosophe Antoine Charma (1801-1869), ancien élève du Collège Bourbon et du Pensionnat normal (future École Normale supérieure) qui le reçut en récompense d'un 1er prix de philosophie au Concours général. Il y apposé quelques annotations et on y trouve une page autographe en latin. Belle provenance et une reliure aux armes de France signée par Bradel. Noirac, uvres philosophiques de Leibniz, Alcan, 1900, I, p. V; Brunet, III, 950 "très recherchée". * Membre du SLAM et de la LILA / ILAB Member. La librairie est ouverte du lundi au vendredi de 14h à 19h. Merci de nous prévenir avant de passer,certains de nos livres étant entreposés dans une réserve. ‎

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EUR800.00 (€800.00 )

‎LEIBNIZ, Gottfried Wilhelm‎

Reference : 94923

(1859)

‎Protogée, ou de la formation et des révolutions du globe‎

‎Paris, L. Langlois, 1859, in-8, [6]-LXIV-138 pp, Veau blond de l'époque, dos à nerfs, pièces de titre brunes, armes centrales sur les plats [Pavée de Vendeuvre] tranches peigne, Figures gravées sur bois dans le texte. Rare première traduction française de la Protogaea de Leibniz (1646-1716), parue à l'origine en 1693 dans les Acta Eroditorum de Leipzig. La traduction est du docteur Bertrand de Saint-Germain. Dans ce texte court, écrit probablement entre 1691 et 1693 et publié de manière posthume en 1749, le philosophe développe sa théorie spéculative du devenir de la Terre depuis son origine, en défendant la thèse de la nature organique des fossiles, qu'il considère comme des vestiges déposés par les mers. La Protogée est particulièrement précieuse car elle nous permet de savoir ce que "le public connaissait des idées géologiques de Leibniz jusqu'en 1749, et particulièrement ce qu'en sait Buffon quand il commence en 1744 la rédaction de sa Théorie de la Terre et lorsqu'il fait allusion à l'oeuvre du philosophe allemand dans l'article V des Preuves" (Gohau). Bel exemplaire, frappé aux armes de Guillaume Pavée de Vendeuvre (1779-1870), homme d'état sous la Restauration et la Monarchie de juillet, avec la devise "Ardeo, Persevero, Spero". Rousseurs claires. Gabriel Gohau, "Analyse d'ouvrage. G. W. Leibniz "Protogaea - de l'aspect primitif de la terre" [en ligne]. In Comité français d'histoire de la géologie, troisième série, t.VIII (1994). Couverture rigide‎


‎Bon [6]-LXIV-138 pp.‎

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EUR350.00 (€350.00 )

‎LEIBNIZ G.W. (LOOK Brandon C. & RUTHERFORD Donald, eds.)‎

Reference : F70800

(2007)

‎The Leibniz-Des Bosses Correspondence‎

‎New Haven, Yale University Press 2007 lxxix + 477pp., 25cm., in the series "The Yale Leibniz", hardcover (cloth), signed with dedication by one of the translators (Donald Rutherford), fine condition, [introduction in English, text in Latin with English translation], ISBN 0-300-11804-9, F70800‎


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‎"LEIBNIZ (LEIBNITZ), G.F. - JOHANN BERNOULLI - JAKOB BERNOUILLI. - CHRISTIAAN HUYGENS ET AL. - INTRODUCING THE LEMNISCATE CURVE.‎

Reference : 41704

(1694)

‎1. Nova Calculi Differentialis. Applicatio & usus, ad multiplicem linearum constructionem, ex data tangentium conditione. 2. Constructio Propria Problematiis de Curva Isochrona Paracentrica....& de constructione linearum transcendentium, una maxima ge...‎

‎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).‎

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‎Centre International de Synthèse (collectif ) (LEIBNIZ G.W.)‎

Reference : 45616

‎LEIBNIZ ASPECTS DE L'HOMME ET DE L'OEUVRE 1646-1716‎

‎Paris, Aubier-Montaigne, Centre International de Synthèse, Journées Leibniz mai 1966, 1968, in-8 broché, 294 pp. Journées Leibniz, salon de Mme. Lambert, 28-30 mai 1966. Avec le concours du CNRS. Couverture en bon état, intérieur en très bon état.‎


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‎HUYGENS, Christian & LEIBNITZ (LEIBNIZ) & L'HOPITAL. - UYLENBROEK, Petrus Joannes (1797-1844):‎

Reference : 53639aaf

‎Christiani Hugenii aliorumque seculi XVII virorum celebrium exercitationes mathematicae et philosophicae. ex manuscriptis in Bibliotheca Academiae Lugduno-Batavae. Fasciculus 1: Chr. Hugenii, Leibnitii et Hospitalii epistolas mutuas.‎

‎Hagae Comitum (The Hague, 's Gravenhage), ex typographia Regia, 1833, in-4to, 1 leaf + IV + 324 p. + 1 leaf (errata) + 2 folding plates, heavy foxing in places, light waterstaining to a few leaves and to bottom of both plates, upper corner of front endpaper cut off and repaired, half calf binding, marbled paper on covers, red title label on gold tooled spine, hinge of frontcover loose, slight rubbing.‎


‎» Important collection of 91 scientific letters «The correspondence of three of the greatest 17th century scientists. Some of these letters were very influencial to the development of certain aspects of mathematics.It is the first publication of Huygens' correspondence with Leibniz and L'Hopital translated from the Latin language into French and published by Petrus Joannes Uylenbroek. He was professor at the Dutch Academy of Physics and Astronomy in Leiden. This first part of this volume contains 56 letters between Leibniz (34) and Huygens (22) (LVI and not altogether LXXVI letters; printing error starting after letter number XLI: LXII-LXXVI), written between 1674 and 1694. The 2nd part (ff. 215ff.) contains 35 letters between the marquis Guillaume F.A. de L'Hopital (19) and Huygens (16), written between 1690 and 1695. Poggendorff II/1164 (Uylenbroek); DHBS VI/613 (Huygens), VIII/149-168 (Leibniz), VIII/304-305 (L'Hopital). ‎

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