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Mathematics

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Photo CLAVIUS, Christoph. 

CLAVIUS, Christoph. 

Epitome arithmeticae practica. 

Roma, Dominici Basae, 1583.
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1800 €

First edition of this work which is known to have influenced Descartes and Leibniz.

Photo LEURECHON, Jean. 

LEURECHON, Jean. 

Récréation mathématicque composée de plusieurs problèmes plaisants et facétieux en faict d'Arithméticque, Géometrie, Méchanicque, Opticque, et autres parties de ces belles sciences. 

Lyon, Claude Rigaud & Claude Obert, 1627.
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1450 €

The very rare first Lyons edition of this work on physics
récréation which was published for the first time at Pont-à-Mousson in 1624 and reprinted several times.

Photo VIETE, François. 

VIETE, François. 

Opera mathematica in unum volumen congesta ac recognita, opera atque studio Francisci a Schooten. 

Leyde, ex officina Bonaventura Abraham Elzeviriorum, 1646.
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9500 €

First collective edition of the works of François Viète.
François Viète, a 16th-century French mathematician born in Fontenay-le-Comte in 1540 and died in Paris in 1603, is often hailed as the father of modern algebra.
Indeed, Viète was one of the first mathematicians in Europe to note the parameters of an equation using symbols. His innovative approach and contribution to algebraic notation was particularly influential and opened new ways for solving mathematical problems. In recognition of his contributions, Viète is widely considered one of the greatest mathematicians of his time and his legacy endures in the field of modern mathematics to this day.
This first collective edition features sixteen of Viète's works, including his seminal 'Isagoge in artem analyticam', which introduced his innovative algebraic notation.

Photo MILLIET DECHALES, Claude François. 

MILLIET DECHALES, Claude François. 

Cursus seu Mundus Mathematicus. 

Lyon, ex officina Anissoniana, 1674.
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3000 €

First edition of the most important work of Milliet Dechalles.
Complete Mathematics course, which also covers other topics sciences (mechanical, architecture, optics, perspective, astronomy, ..).
We usually meet the second edition published in 1690 in four volumes.
This first edition, complete in three volumes is quite rare.

Photo SAVARY, Jacques. 

SAVARY, Jacques. 

Le Parfait Négociant ou instruction générale pour ce qui regarde le commerce. 

Paris, Jean Guignard, 1675.
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3500 €

First edition.
A famous merchant born in 1622 in Doué (Anjou) from a noble family, Savary became a wealthy merchant and retired from business at the age of 36. He was chosen by Colbert to be one of the writers of the commercial code of 1673 which was called "Code Savary". He wrote in 1675 the "Perfect trader" which is the compilation of the knowledge he had gathered for the drafting of the ordinance. The legal solutions are clear, sensible, practical, honest. The book is a business bible whose importance Max Weber underlined. This work became a classic, reprinted many times and translated into German, English and Italian.

Photo BULLET, Pierre. 

BULLET, Pierre. 

Traité de l'usage du pantomètre, instrument géométrique, instrument géométrique propre à prendre toutes sortes d'angles, mesurer les distances accessibles et inaccessibles, arpenter et diviser toutes sortes de figures. 

Paris, André Pralard, 1675.
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450 €

First edition.

Photo LA HIRE, Philippe De. 

LA HIRE, Philippe De. 

Nouveaux élémens des sections coniques, les lieux géométriques, la construction, ou effection des équations. 

Paris, André Pralard, 1679.
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1500 €

First edition.
Philippe de La Hire (1640-1718) is a French mathematician, he is the successor of Desargues and Pascal in the geometry of conics, in that he deduces the properties of conics from the properties of the circle.
La Hire innovates compared to his two predecessors, in that he exploits to the maximum the properties of invariance of harmonic division, which allows him to reason almost exclusively in the plane (and not in space).
This approach leads him to develop the notions of poles and polars, homology, orthoptic locus, etc.

Photo LAMY, Bernard. 

LAMY, Bernard. 

Traité de la grandeur en général qui comprend l'arithmétique, l'algèbre, l'analyse et les principes de toutes les sciences qui ont la grandeur pour objet. 

Paris, André Pralard, 1680.
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400 €

First edition.
A very complete copy of its plate.

Photo OZANAM, Jacques. 

OZANAM, Jacques. 

Méthode générale pour tracer des cadrans de toute sorte de plans. 

Paris, Estienne Michallet, 1685.
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250 €

Second edition.
A self-taught mathematician, Jacques Ozanam was above all a popularizer of mathematics. In his works, he disseminated practical applications of this science, whether for the division of land, the calculation of inheritances or, as here, the drawing of sundials.

Photo PRESTET, Jean. 

PRESTET, Jean. 

Nouveaux elemens des mathematiques ou principes generaux de toutes les sciences qui ont les grandeurs pour objet. 

Paris, André Pralard, 1689.
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1200 €

Second enlarged edition.
This edition is important because Prestet gives (Volume 1 p.140 to p.150) for the first time his some early work on the fundamental theorem of arithmetic.

Photo OZANAM, Jacques. 

OZANAM, Jacques. 

Dictionnaire Mathématique, ou idée Générale des Mathématiques.
Dans lequel sont contenus les termes de cette science, outre plusieurs termes des Arts & des autres sciences, avec des raisonnemens qui conduisent peu à peu l'esprit à une connoissance universelle des Mathématiques. 

Amsterdam, Huguetan, 1691.
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400 €

A reprint of the first edition, published the same year by Michallet in Paris.
The dictionnary is divided into sections dealing with subjects such as arithmetic, algebra, geometry, cosmography, astronomy, navigation, optics, perspective, mechanics, hydrostatics, architecture, fortification and music.

Photo OZANAM, Jacques. 

OZANAM, Jacques. 

Dictionnaire mathématique, ou idée générale des mathématiques. Dans lequel l'on trouve, outre les termes de cette science, plusieurs termes des arts des autres sciences ; avec des raisonnemens qui conduisent peu à peu l'esprit à une connoissance universelle des Mathématiques. 

Paris, Estienne Michallet, 1691.
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500 €

First edition with resale label of Claude Jombert on title page.
The dictionnary is divided into sections dealing with subjects such as arithmetic, algebra, geometry, cosmography, astronomy, navigation, optics, perspective, mechanics, hydrostatics, architecture, fortification and music.

Photo [CLERMONT, Sieur de]. 

[CLERMONT, Sieur de]. 

La Géométrie pratique de l'ingénieur, ou l'art de mesurer [...] dédié à Monsieur de Vauban. 

Strasbourg, Fr. G. Schmuck, 1693.
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550 €

First edition.
"Clermont" wrote on the title page, like other copies of these edition.
Clermont, artilleryman and military engineer, dedicated his geometry book to Vauban. We understand this dedication on reading the eighth part of the book, which is entirely dedicated to the construction of fortresses. Vauban then supervised in France the construction of dozens of fortifications with clearly recognizable models.
Clermont explains to us the geometry allowing us to trace the famous Vauban fortresses.

Photo OZANAM, Jacques. 

OZANAM, Jacques. 

Cours de Mathématiques qui comprend toutes les parties de cette Science les plus utiles & les plus nécessaires à un homme de Guerre, & à tous ceux qui se veulent perfectionner dans les Mathématiques. 

Paris, Jean Jombert, 1693.
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1150 €

First edition.

Full course of 5 volumes and impressive iconographic support in 204 plates.
Beyond purely mathematical treatises on geometry, arithmetic and trigonometry we find a treatise on gnonomics, a treatise on fortification, the sine and logarithm tables.

Photo OZANAM, Jacques. 

OZANAM, Jacques. 

Méthode de lever les Plans et les Cartes de terre et de mer avec toutes sortes d'instrumens, et sans instrumens. 

Paris, Michallet, 1693.
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650 €

Rare first edition.
In addition to detailing the geometric methods of surveying, Ozanam describes the composition and use of the material specific to the surveyors of the time: copper plank, compass, Huygens level.

Photo PRESTET, Jean. 

PRESTET, Jean. 

Nouveaux élémens de Mathématiques ou principes généraux de toutes les sciences. 

Paris, André Pralard, 1694.
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400 €

Third edition.

Mathematician and Oratorian priest, Jean Prestet (1648-1690) remains famous for his Elements of Mathematics in which he notably delivers precursory works on the fundamental theorem of arithmetic.

Photo OZANAM, Jacques. 

OZANAM, Jacques. 

Récréations Mathématiques et Physiques, qui contiennent plusieurs Problêmes d'Arithmétique, de Géometrie, d'Optique, de Gnomonique, de Cosmographie, de Méchanique, de Pyrotechnique, & de Physique. Avec un Traité nouveau des Horloges Elémentaires. 

Paris, Jean Jombert, 1694.
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2000 €

Rare first edition and the first work on "Recreational Mathematics".

Photo SAVARY, Jacques. 

SAVARY, Jacques. 

Le Parfait Négociant ou instruction générale pour ce qui regarde le commerce. 

Lyon, Jacques Lyons, 1701.
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150 €

Fifth edition.
A famous merchant born in 1622 in Doué (Anjou) from a noble family, Savary became a wealthy merchant and retired from business at the age of 36. He was chosen by Colbert to be one of the writers of the commercial code of 1673 which was called "Code Savary". He wrote in 1675 the "Perfect trader" which is the compilation of the knowledge he had gathered for the drafting of the ordinance. The legal solutions are clear, sensible, practical, honest. The book is a business bible whose importance Max Weber underlined. This work became a classic, reprinted many times and translated into German, English and Italian.

Photo L’HOSPITAL, Guillaume (Marquis de). 

L’HOSPITAL, Guillaume (Marquis de). 

Traité analytique des sections coniques et de leur usage pour la résolution des équations dans les problèmes tant déterminez qu’indéterminez. 

Paris, Jean Boudot, 1707.
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1200 €

First edition.
Treatise on conic sections, which he treats both by geometric and analytical methods (equations of the form ax2 bx2 cxy dx ey f = 0) and which was very successful. Finalized in 1699, it was not published until after his death at the request of Fontenelle, then secretary of the Royal Academy.

Photo BARBEYRAC, Jean. 

BARBEYRAC, Jean. 

Traité du jeu, où l'on examine les principales questions de droit naturel et de morale qui ont du rapport à cette
matière. 

Amsterdam, Pierre Humbert, 1709.
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750 €

First edition.
Philosophical dissertation around the game, its dangers and its abuses all the moral, economic and social facets related to the practice of games are discussed. Barbeyrac writes at a key moment when the notion of chance (behind which hides divine intervention) gradually gives way to what will become a theory of games and probabilities.

Photo CROUSAZ, Jean-Pierre de. 

CROUSAZ, Jean-Pierre de. 

La Géométrie des Lignes et des Surfaces Rectilignes et Circulaires. 

Amsterdam, Veuve de Paul Marret, 1718.
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200 €

Rare first edition of the work on geometry.
Crousaz was professor of philosophy and mathematics at the Académie of Lausanne from 1700 until 1724,and he was nominated to the Académie des Sciences in 1725.
As the second part bound in our first volume is incomplete of on plate and all preliminary leaves, we joint the second part, complete, in an other volumes we had in our stock.

Photo GROLLIER DE SERVIÈRE, Gaspard. 

GROLLIER DE SERVIÈRE, Gaspard. 

Recueil d'ouvrages curieux de mathématique et de mécanique, ou description du cabinet de Monsieur Grollier de Servière avec des figures en taille douce. 

Lyon, David Forey, 1719.
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2200 €

First edition.
Among the mechanical inventions depicted in Grollier de Serviere's Cabinet are those for propelling ships, making elevations, various kinds of clocks, lamps, mechanical figures, mills, optical contrivances and geometrical instruments.

Photo OZANAM, Jacques. 

OZANAM, Jacques. 

Récréations mathématiques et physiques, qui contiennent plusieurs problèmes d'arithmétique, de géométrie, de musique, d'optique, de gnomonique, de cosmographie, de mécanique, de pyrotechnie, & de physique. Avec un traité des horloges élémentaires. 

Paris, Claude Jombert, 1723.
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900 €

New edition, revised, corrected and augmented since the first one published in 1694.
The first edition with 136 plates.
This book on mathematics and physics deals with various problems in arithmetic, geometry, music, optics, gnomonics, cosmography, mechanics, acoustics, pyrotechnics, physics, water clocks, natural phosphors, perpetual lamps, etc.

Photo VARIGNON, Pierre. 

VARIGNON, Pierre. 

Traité du mouvement des eaux coulantes et jaillissantes. Avec un traité préliminaire du mouvement général. 

Paris, PIssot, 1725.
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750 €

First edition.
Posthumous work published by Abbé Pujol, pupil of Varignon. Pierre Varignon was the first to use differential calculus in certain areas of physics. He is one of the fathers of modern kinematics.

Photo BION, Nicolas. 

BION, Nicolas. 

Traité de la construction et des principaux usages des instrumens de mathématique. 

Paris, Brunet, Ganeau, Robustel & Osmont, 1725.
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900 €

Bion had an instrumentation workshop in Paris.
He seems to have made globes, sundials, mathematical instruments, and mechanical machines with equal accuracy.
In the "Traité de la construction.." he gives a fairly complete list of instruments normally constructed during the first quarter of the eighteenth century.
His treatise was more for the user and the amateur than for the manufacturer. (DSB)
THIRD EDITION, THE FIRST WITH 37 ENGRAVED FOLDING PLATES.

Photo ACADÉMIE ROYALE DES SCIENCES || ROBERVAL, Gilles Personne de || PICARD, Jean. 

ACADÉMIE ROYALE DES SCIENCES || ROBERVAL, Gilles Personne de || PICARD, Jean. 

Mémoires de l'Académie Royale des Sciences. Depuis 1666 jusqu'à 1699. Tome VI. 

Paris, Compagnie des Libraires, 1730.
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250 €

This volume contains articles from Roberval :
- Observations sur la composition des mouvemens & sur le moyen de trouver les touchantes des lignes courbes.
- Traité des indivisibles.
- De Trochoide ejusque spatio.

Photo VARIGNON, Pierre. 

VARIGNON, Pierre. 

Elemens de Mathématique de monsieur Varignon. 

Paris, Pierre-Michel Brunet, 1731.
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850 €

First edition, posthumoustly published of this work. This is an introduction to algebra and geometry based on Varignon's courses given at the College Mazarin.
Varignon (1654-1722), member of the Académie des Sciences and one of the outstanding scientist of his time, was an intimate friend of Newton, Leibniz, and Bernoullis. He demonstrated the principle of the parallelogram of forces simultaneously with and independently of Newton. He was the first French scientist of note to advocate the new differential calculus.

Photo RIVARD, Dominique-François. 

RIVARD, Dominique-François. 

Elémens de géométrie, avec un abrégé d'arithmétique et d'algèbre. 

Paris, Claude Jombert & Henry, 1732.
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300 €

First edition.

Photo ACADÉMIE ROYALE DES SCIENCES || FANTET DE LAGNY, Thomas. 

ACADÉMIE ROYALE DES SCIENCES || FANTET DE LAGNY, Thomas. 

Analyse générale ou méthodes nouvelles pour résoudre les problèmes de tous les genres et de tous les degrez à l'infini.
Mémoires de l'Académie Royale des Sciences. Depuis 1666 jusqu'à 1699. Tome XI. 

Paris, Compagnie des Libraires, 1733.
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400 €

This volume contains the first edition of the treatise of Lagny.
There is an other issue with a different title page, at the same date.

Photo STONE, Edmund. 

STONE, Edmund. 

Analise des infiniments petits comprenant le calcul intégral dans toute son étendue; avec son application aux quadratures, rectifications, cubatures, centres de gravité, de percussion, &c. de toutes sortes de courbes. 

Paris, Julien Michel Gandouin, 1735.
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900 €

First edition in French.
Translation in French by Rondet of the Method of Fluxions published in English in 1730.
Stone participated in the spread of differential calculus in Europe following Leibniz, Bernouilli and L'Hospital.
In this book Stone continues the work of the Marquis de L'Hospital on the infinitesimal calculus.
The long introductory speech written by Louis-Bertrand Castel is devoted to Stone and the history of this completely innovative method of calculation.

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