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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, Montalant, 1720.
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200 €

Second 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 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 || PUJOL (Abbé). 

VARIGNON, Pierre || PUJOL (Abbé). 

Traité du mouvement et de la mesure des eaux coulantes et jaillissantes. 

Paris, Pissot, 1725.
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200 €

First edition.
The work is based on the posthumous manuscripts of Pierre Varignon, edited by Abbé Pujol. Varignon addresses in particular the problem of the Torricelli flow.

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 BELIDOR, Bernard Forest (de). 

BELIDOR, Bernard Forest (de). 

Nouveau cours de mathématique à l'usage des ingénieurs officiers d'artillerie. 

s.l., s.n., 1730.
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700 €

Handwritten copy of Bélidor's Nouveau cours de mathématiques published in 1725.
Our copy, in very legible handwriting, is dated 1730.
It is accompanied by the 34 plates that illustrated the printed edition of this course. At that time, Belidor was a mathematics professor at the artillery school in La Fère, and this course was intended for student officers. The work was a great success in artillery school circles.

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.

Photo REYNEAU, Charles-Rene. 

REYNEAU, Charles-Rene. 

Analyse démontrée ou la méthode de résoudre les problèmes de mathématiques et d'apprendre facilement ces sciences, expliquée et démontrée dans le premier volume et appliquée dans le second, à découvrir les propietez des Figures de la géometrie simple et composée ;. 

Paris, Quillau, 1736.
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700 €

Second edition.

Numerous scientific notes from the period on free paper inserted in volume II.

Photo NEWTON, Isaac. 

NEWTON, Isaac. 

La Méthode des fluxions et des suites infinies. 

Paris, De Bure l'ainé, 1740.
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2000 €

First french edition.
Buffon's translation of Method of Fluxions and Infinite Series published a few years earlier. It is one of the last treatises on which Newton worked to explain the method of calculation used in his Principia. The fluxion method is the Newtonian solution of differential calculus problems. It is the counterpart of the method of infinitely small developed by Leibniz.
The fluxion method places Newton among the fathers of infinitesimal calculus.

Photo NEWTON, Isaac. 

NEWTON, Isaac. 

La Méthode des fluxions et des suites infinies. 

Paris, De Bure l'ainé, 1740.
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2500 €

First french edition.
Buffon's translation of Method of Fluxions and Infinite Series published a few years earlier. It is one of the last treatises on which Newton worked to explain the method of calculation used in his Principia. The fluxion method is the Newtonian solution of differential calculus problems. It is the counterpart of the method of infinitely small developed by Leibniz.
The fluxion method places Newton among the fathers of infinitesimal calculus.

Photo DEIDIER, (Abbé). 

DEIDIER, (Abbé). 

La Mesure des surfaces et des solides, par l'arithmétique des infinis et les centres de gravité. 

Paris, Charles-Antoine Jombert, 1740.
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750 €

First edition.
Work which is inspired by Wallis' method of measuring surfaces by the arithmetic of infinities which has the advantage according to Deidier of using simple algebra. Deidier found the algebra of integral calculus too abstract. Deidier's works ensured him a distinguished place among the mathematicians of his time.
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Photo PRIVAT DE MOLIERES, Joseph. 

PRIVAT DE MOLIERES, Joseph. 

Traité synthétique des Lignes du I. & du II. genre ou Elémens de Géométrie dans l'Ordre de leur génération. Ces Lignes sont la Ligne Droite, le Cercle, l'Ellipse, la Parabole, & l'Hyperbole. 

Paris, Veuve Brocas, 1741.
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250 €

Joseph Privat de Molières (1676-1742), french physician and mathematician, raised to the rank of associé in the Academy in 1729 and became fellow of the Royal Society of London in the same year.
A major figure in the protracted struggle against the importation of Newtonian science into France, Privat de Molières devoted his career to developing and improving Cartesian physics.
Rare mathematical work from Privat de Molières, a resale from the first edition with only a new title page and the cartons described in the collation.

Photo CLAIRAUT, Alexis. 

CLAIRAUT, Alexis. 

Élémens de Géométrie. 

Paris, Lambert & Durand, 1741.
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500 €

First edition.
Title page at Lambert & Durand, we find the title page more frequently at David fils. Bibliographers agree that this is the same edition.
The three last blank pages with old manuscript notes.

Clairaut's work enjoyed considerable success in France and Europe.

Photo LA CHAPELLE, Abbé Jean-Baptiste de. 

LA CHAPELLE, Abbé Jean-Baptiste de. 

Discours sur l’étude des Mathématiques, où l’on essaye d’établir que les enfans sont capables de s’y appliquer. 

Paris, Prault, 1743.
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350 €

Rare first edition of this booklet on how to teach mathematics to children. He propose to begin at the age of 6.

Photo LA CHAPELLE, Abbé Jean-Baptiste de. 

LA CHAPELLE, Abbé Jean-Baptiste de. 

Institutions de géométrie. 

Paris, Debure l'aîné, 1746.
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400 €

First edition.

Photo SIMPSON, Thomas. 

SIMPSON, Thomas. 

Elements of Plane Geometry. To which are added, an Essay on the Maxima and Minima of Geometrical Quantities, and A brief Treatise of regular Solids; also, the Mensuration of both Superficies and Solids, together with the Construction of a large Variety of Geometrical Problems. 

London, Printed for the Author; Samuel Farrer and John Turner, 1747.
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600 €

Rare first edition of this textbook on Geometry.
Thomas Simpson, son of a weaver, was a self-taught mathematician and an ardent defender of the theories of Isaac Newton.
On 1743, he was appointed professor of mathematics at the Royal Academy at Woolwich, and on 1745 he was elected a fellow of the Royal Society.
His ' Element of Plane geometry ' were a bestseller with 6 London editions between 1714 and 1821, five at Paris, and one at Amsterdam.

Photo LE BLOND, Guillaume. 

LE BLOND, Guillaume. 

L'Arithmétique et la géométrie de l'officier, contenant la théorie et la pratique de ces deux sciences, appliquées aux différens emplois de l'homme de guerre. 

Paris, C.-A. Jombert, 1748.
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350 €

First edition.
Guillaume Le Blond (1704-1781), was professor of mathematics for the pages of the great stable of the king, then of the Children of France.
Book devoted to the use of mathematics in the army, the set is complete of the Essay on castrametation published as a follow-up to the Arithmetic and the geometry of the officer.

Photo MACLAURIN, Colin. 

MACLAURIN, Colin. 

Traité des fluxions. 

Paris, Charles-Antoine Jombert, 1749.
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3500 €

First french edition.
Mathematical defense of Newton's work against the Berkeley attacks, Maclaurin also proposes there a particular use of the Taylor theorem which is since called Taylor-Maclaurin formula and the first test of convergence of an infinite series.

Photo CRAMER, Gabriel. 

CRAMER, Gabriel. 

Introduction à l'analyse des lignes courbes algébriques. 

Genève, Frères Cramer & Philibert, 1750.
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800 €

First edition.
The only publication by the Genevan mathematician Gabriel Cramer (1704-1752), it includes the method known today as Cramer's rule for the resolution of linear systems of equations, using what will later be called determinants.

Photo SAVERIEN, Alexandre. 

SAVERIEN, Alexandre. 

Dictionnaire universel de Mathématique et de Physique, où l'on traite de l'origine, du progrès de ces deux Sciences des Arts qui en dépendent, des diverses révolutions qui leur sont arrivées jusqu'à notre temps; avec l'exposition de leurs Principes, l'analyse des sentimens des plus célèbres Auteurs sur chaque matière. 

Paris, Rollin & Jombert, 1753.
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650 €

First edition.

Photo SIMPSON, Thomas. 

SIMPSON, Thomas. 

Elémens de géométrie traduits de l'anglois. 

Paris, Vincent, 1755.
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200 €

Rare first edition in french of the ' Element of Plane geometry ' of Thomas Simpson.
Mathematician, Simpson. was the son of a weaver.
On 1743, he was appointed professor of mathematics at the Royal Academy at Woolwich, and on 1745 he was elected a fellow of the Royal Society.
His ' Element of Plane geometry ' were a bestseller with 6 London editions between 1714 and 1821, five at Paris, and one at Amsterdam.

Photo TAYLOR, Brook|| MURDOCH, Patrick. 

TAYLOR, Brook|| MURDOCH, Patrick. 

Nouveaux principes de la perspective linéaire [...] avec un essai sur le mélange des couleurs par NEWTON. 

Lyon, Bruyset, 1759.
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600 €

Second edition in french given by the Jesuit Antoine Rivoire of two treatises on perspective.

Taylor's book is considered in its day to be one of the best books on perspective.

Photo BIELFELD, Jacques-Frédéric (Baron de). 

BIELFELD, Jacques-Frédéric (Baron de). 

Institutions politiques. 

La Haye, Pierre Gosse, 1760.
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450 €

First edition.
Baron Bielfeld was an advisor to Frederick II of Prussia, his work consists mainly of reflections on national governance.
His work had a significant impact on both political science and statistics. He would be the first to introduce the word "statistics" to replace the term political arithmetic.

Photo FONTAINE Des BERTINS, Alexis. 

FONTAINE Des BERTINS, Alexis. 

Mémoires donnés à l'académie royale des sciences non imprimés dans leur temps, par M.Fontaine, de cette académie. 

Paris, Imprimerie Royale, 1764.
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750 €

First edition.
Twelve memories, dealing essentially with infinitesimal geometry, integral calculus, mechanics, and astronomy.

Photo RIVARD, Dominique François. 

RIVARD, Dominique François. 

Eléments de Mathématiques. 

Paris, Saillant & Desaint, 1768.
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150 €

Sixth and last edition augmented by the author.
Rivard is considered one of the best educators of the eighteenth century.

Photo REID, Thomas. 

REID, Thomas. 

Recherches sur l'entendement humain, d'après les principes du sens commun. 

Amsterdam, Jean Meyer, 1768.
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400 €

Rare first french edition.
Thomas Reid is a Scottish philosopher.
In this book define his philosphy based on the realism of the five senses and thus opposes the system of ideas, born with the philosophy of Descartes.
Chapter on view gives rise to lengthy arguments on the lens. In Section IX, Reid defined a non-Euclidean geometry.

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