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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 BESSON, François. 

BESSON, François. 

La Pratique de Géometrie. 

Paris, Jean Moreau, 1626.
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500 €

First edition.
The work is divided into three books:
- Macrometry or the science of measuring straight lines.
- Holometry or the measurement of plane surfaces.
- Stereotomy or the measurement of solid bodies.
As well as Books IV and XIII of Euclid in an unpublished French translation for which Besson provides new applications.

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 NICERON, Jean-François. 

NICERON, Jean-François. 

La Perspective curieuse ou magie artificielle des effets merveilleux de : L’optique par la vision directe, la catoptrique, par la réflexion des miroirs plats, cylindriques & coniques, la dioptrique, par la réfraction des crystaux. 

Paris, Pierre Billaine, 1638.
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2500 €

First edition.
This work is a treatise on optical illusions and anamorphic perspectives, written by Nicéron, a monk of the order of Minims and mathematician of the 17th century. In it, he explores the principles of geometry applied to perspective, in particular the deformations of images that are only correctly revealed from a certain angle or through a mirror.
La Perspective Curieuse is a major work in the history of visual perception and art, influencing both artists and scientists of its time.
The discussion in the fourth part is particularly famous for being the first reference to the law of refraction developed by Descartes that same year.
A title-frontispiece engraved by Daret.

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 EUCLIDE || HENRION, Denis. 

EUCLIDE || HENRION, Denis. 

Les quinze livres des élémens d'Euclide. 

Rouen, Isaac Clément Malassis, 1649.
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550 €

Fifth edition of the French translation of Euclid's Elements by Denis Henrion.


This book is one of the first translations into French of the works of the ancient mathematician Euclid. Denis Henrion was a French mathematician of the first half of the seventeenth century, which allowed the spread of Euclidean geometry in France.

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 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 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 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 DESCARTES, René. 

DESCARTES, René. 

Les Principes de la philosophie de René Descartes. 

Paris, Nicolas Le Gras, 1681.
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Fourth edition.
"The Principles of Philosophy" by René Descartes is a fundamental work of Western philosophy. In this treatise, Descartes sets out his vision of the world, based on metaphysical and physical principles. He develops his method of doubt, his famous "cogito, ergo sum" (I think, therefore I am), and his conceptions on the nature of the soul and the body.

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 VARIGNON, Pierre. 

VARIGNON, Pierre. 

Projet d’une nouvelle mechanique: avec un Examen de l'opinion de M. Borelli. 

Paris, Veuve d’Edme Martin, Jean Boudot & Estienne Martin, 1687.
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450 €

First edition.

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 ROLLE, Michel. 

ROLLE, Michel. 

Traité d'Algèbre ou principes généraux pour résoudre les questions de mathématique. 

Paris, Estienne Michalet, 1690 [MDCLXC].
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1500 €

First edition.
The "Traité d'algèbre" is the most important work of Rolle.
He invented the notation n √ x to the nth root of x, which is still used today.
His most important contribution, however, is the part where he introduced the concept of "cascades". Let the polynomial equation P (x) = 0 with real roots a and b, then built polynmoe P '(x) he calls the first "cascade" as P' (a) = (ba) Q (b) where Q (x) is a polynomial of degree less. Now P '(x) is call the first derivative of P (x).
Rolle then built second cascade, the second derivative, and so forth to find all the roots of the polynomial.

According to our research, there have been several changes during the printing of the "Traité d'Algèbre".
Copie's with the wrong date (MDCLXC) as our copy, then corrected (M.DC.XC).
Copie's with the sheets FF and FFII (pages 223-226) replaced as in our copy by a single sheet Ff (paged 267/266 error).
Our copy is after adding the FF leaf, but before changing the wrong date on title page.

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 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. 

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 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 [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 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 L'HOSPITAL, Guillaume François Antoine (Marquis de). 

L'HOSPITAL, Guillaume François Antoine (Marquis de). 

Analyse des infiniment petits, pour l'intelligence des lignes courbes. 

Paris, François Montalant, 1715.
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600 €

Second edition.
The L'Hospital manual was the first treatise devoted to differential calculus in the French language. It did much to disseminate Leibniz's discovery in France and Europe.
On p. 145 we find the rule that would bear the name of L'Hospital's Rule (or theorem), which states that the quotient of two functions behaves locally like the quotient of the associated derivatives.

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 [MILLIET DE CHALLES, Claude-François ] || [OZANAM, Jacques]. 

[MILLIET DE CHALLES, Claude-François ] || [OZANAM, Jacques]. 

Les élémens d'Euclide du R.P. Dechalles. 

Paris, Claude Jombert, 1720.
More Details >
150 €

Claude François Milliet Dechales (1621-1678) is a French Jesuit priest and renowned mathematician. He published a course in Mathematics and gave a translation of the works of Euclid which was very popular in France.

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