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Mathematics

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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 EULER, Léonard. 

EULER, Léonard. 

Lettres à une princesse d'Allemagne. 

Mitau, Leipzig, Hinz, 1774.
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400 €

These letters are a brilliant example of scientific popularization.
Written by the great mathematician from Basel, Euler (1707–1783), they enjoyed widespread popular success from their first publication and were translated into many languages.
Here, Euler addresses a wide range of topics beyond pure mathematics, including astronomy, mechanics, optics, music, philosophy, and logic.

Photo DORMOY, Emile. 

DORMOY, Emile. 

Théorie Mathématique des assurances sur la vie. 

Paris, Gauthier-Villars, 1878.
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450 €

First edition.
Emile Dormoy, a Polytechnique and mining engineer, will manage the Soleil-Vie insurance company.
He leaves us this important treatise on mathematics for the use of actuaries in which he notably devotes a chapter to the Theory of deviations.
He describes there before Wilhelm Lexis what will be known as the "Lexis Ratio".
The law of deviations subsequently developed by Bachelier will be one of the bases of financial mathematics.

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 BIERENS DE HAAN, David. 

BIERENS DE HAAN, David. 

Tables d'intégrales définies et Supplément aux tables d'intégrales définies qui forment le tome IV des mémoires de l'académie. 

[Amsterdam], C. G. van der Post, 1858.
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450 €

First edition of these tables.

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 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 EULER, Léonard. 

EULER, Léonard. 

Elémens d'Algèbre. 

Lyon, Bruyset, An III [1795].
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450 €

Important book from the famous Euler.
The first edition treats of determinate algebra. This contains one of the earliest attempts to place the fondamental processes on a scientific basis. This work also include the proof of the binomial theorem for an unrestricted index.
The second volume treats of indeterminate or Diophantine algebra. This contains the solution of some of the problems proposed by Fermat, (Sotheran).
"Second French edition; the substantial additions by Lagrange occur for the first time" (Honeyman).

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 BEZOUT, Etienne. 

BEZOUT, Etienne. 

Cours de mathématiques à l'usage des gardes du pavillon et de la marine. 

Paris, Ph-D Pierres, 1781-1784.
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500 €

Rare complete course of Bezout containing the four parts, the continuation of the fourth part and the treaty of navigation.
Part 1 and 2 are bound together in the first volume. Complete with the 38 engravings.

"Native of Nemours, professor of mathematics with the guards of the Navy and the School of artillery (Monge succeeded him in 1783), Étienne Bézout (or Bezout, as very often said and written nowadays) edited many textbooks educational. " (chronomath).

Photo PAINVIN, Louis. 

PAINVIN, Louis. 

Principes de la Géométrie Analytique. 

Douai, Alf. Robaut, 1866-1870.
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500 €

First edition
Complete two volumes: Plane Geometry (1866) and Geometry of Space (in two parts joined: 1869 and 1870).
Louis Félix Painvin (1826-1875), an associate professor of mathematics, practiced at the Lycée de Douai, a city where he had these principles of analytic geometry printed.
Fine paper printing is like a handwritten course, which makes it easy to insert figures and equations into the text.
In 1872, Painvin replaced Darboux at Lycée Louis Le Grand.

Works whose circulation was probably limited and found very rarely.

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 BEDOS DE CELLES, François. 

BEDOS DE CELLES, François. 

La Gnomonique pratique, ou lart de tracer avec la plus grande précision les cadrans solaires par les méthodes qui y sont propres, et le plus soigneusement choisies en faveur principalement de ceux qui sont peu ou point versés dans les Mathématiques. 

Paris, Firmin Didot, 1790.
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500 €

Fourth edition.

Photo [POLYTECHNIQUE]. 

[POLYTECHNIQUE]. 

Programmes de l'enseignement polytechnique de l'Ecole centrale des travaux publics. 

Paris, Imprimerie nationale, Pluviose An III ( janvier 1795).
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500 €

First edition.
First use of the adjective "Polytechnique" which will be used a few months later to give its new name to the "Ecole centrale des travaux publics" which will become the "École polytechnique".
Here are the detailed programs of the courses that will be taught during the creation of the School.

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 [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 WRONSKI, Hoëné. 

WRONSKI, Hoëné. 

Sept manuscrits inédits, écrits de 1803 à 1806. 

Paris, A dépot des ouvrages de l'auteur, 1879.
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First edition published after the death of Wronski.

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 CHOPART, Louis Narcisse. 

CHOPART, Louis Narcisse. 

Essais sur les évolutions navales suivis de quelques tables. 

Paris, Imprimerie royale, 1839.
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600 €

First edition.
Chopart will be Vice-Admiral of the French Navy, he will participate in particular in the Algiers expedition in 1830. His book is in line with the tactics of the 18th century sailing navy, but as a former student from polytechnique he constantly uses geometric tools to demonstrate his movements. Beautiful printing on quality paper for this naval tactics book.

Photo GENTY, Louis || [MAUGUE ?]. 

GENTY, Louis || [MAUGUE ?]. 

Cours de géométrie et de trigonométrie rectiligne suivant Mr Genty. 

s.l., s.n., 1800.
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600 €

Original Manuscript.
Geometry course certainly given by Louis Genty, who was then professor of Mathematics at the Ecole centrale du Loiret in Orléans. Louis Genty became known in his field for having written a book on Fermat's contributions to geometry and he became a correspondent for the Académie des Sciences in the geometry section shortly before his death in 1817.

Photo POINCARE, Henri. 

POINCARE, Henri. 

Sur les Rapports de la physique expérimentale et de la physique mathématique. 

Paris, Gauthier-Villars, 1900.
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600 €

First edition.
Offprint of this very interesting article on epistemology by Henri Poincaré in which he analyzes the relationship between the mathematical laws of physics and the data of experience: When should one be right in one and wrong in the other?
In this report which was presented to the International Congress of Physics in 1900, Poincaré discusses there in particular at the end of the text the Lorentz equations which make it possible to analyze certain physical facts but not all, which will be decided by Einstein a few years later with his special theory of relativity.
This debate is still an issue for modern physics about dark matter, should we change physical theories or improve our measurement capabilities?.

Photo [MATHEMATIQUES]. 

[MATHEMATIQUES]. 

Journal de Mathématiques élémentaires (27 volumes). 

Paris, Vuibert et Nony, 1887-1907.
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600 €

First editions.
Journal of mathematics gathering problems proposed by professors or annals of examinations and competitions (aggregation, general competition, baccalaureate, schools (naval type, Saint Cyr, mines of Saint Etienne, agriculture ...).
27 volumes of issues from 1887 to 1907.
NO SHIPPING OUTSIDE FRANCE.

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 LACROIX, Silvestre-François. 

LACROIX, Silvestre-François. 

Essais de géométrie sur les plans et les surfaces courbes (Ou Élémens de Géométrie Descriptive). 

Paris, Fuchs & Bernard, 1795.
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600 €

First edition of Lacroix's very rare first book; it was extremely popular and saw a seventh edition in 1840. The book was written in part for various professions including architects, carpenter, artists, and geometers in order to improve their graphical procedures.
Bound after : 2. Élémens de géométrie précédés de réflexions sur l'ordre à suivre dans ces élémens, sur la manière de les écrire, et sur la méthode en mathématiques. Chez Duprat, An septième [1798], Paris. 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 PONCELET, Jean-Victor. 

PONCELET, Jean-Victor. 

Traité des propriétés projectives des figures. Ouvrage utile à ceux qui s'occupent de la géométrie descriptive et d'opérations géométriques sur le terrain. 

Paris, Gauthier-Villars, 1865-1866.
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600 €

Second enlarged edition of "the first book wholly devoted to projective geometry," (DSB).

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 [POLYTECHNIQUE] CHAUVISE, Jules Thimotée. 

[POLYTECHNIQUE] CHAUVISE, Jules Thimotée. 

Recueils d'Epures. 

s.l., s.n., 1837-1839.
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650 €

Collection of drawings, by Jules Thimothé Chauvisé (X 1837 ; 1817-????).
The structure of these drawing as taught at the Ecole Polytechnique is often the same, with parts more or less developed, and drawings more or less elaborate according to the times and students.
We thus find drawings of curves, surfaces, perspectives, shadows, stone cut, architecture, machine and gears, topography and fortifications.

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 DULONG, Pierre || PETIT, Alexis. 

DULONG, Pierre || PETIT, Alexis. 

Recherches sur quelques points importans de la théorie de la chaleur (publiés dans Annales de Chimie et de physique - Tome X). 

Paris, Crochard, 1819.
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650 €

First edition.
Research of prime importance in which the authors experimentally measure the specific heats of many compounds which will allow them to deduce what will become the law of Dulong and Petit which links molar mass and heat capacity and the constant of ideal gases.

In the same volume another important scientific publication: Fresnel, Memoir on the action that polarized rays of light exert on each other. Major Fresnel work.
And a Fourier paper on insurances.
There are also articles by Breguet (precision of a tourbillon chronometer and astronomical measuring tool, the plate illustrating this invention is missing), Pelletier (discovery of strychnine).

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