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Mathematics

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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 [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 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 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 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 [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. 

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 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 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 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 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 [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 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 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 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 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 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 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 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 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 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 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 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 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.

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 JACOBI, Carl Gustav Jacob. 

JACOBI, Carl Gustav Jacob. 

Mémoire sur l'élimination des noeuds dans le problème des trois corps. 

Paris, Bachelier, 1844.
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350 €

First off-print publication of Jacobi's article on his approach to the three-body problem.

Jacobi's article is binded following two other memoirs on celestial mechanics, extracted from the Journal de Liouville:
CISA DE GRESY, Memoir on the problem of the disturbance of the planets, Bachelor, [1828]
LE DOULCET DE PONTECOULANT, Memoir on the part of the coefficients of the great inequalities of Jupiter and Saturn which depend on the square of the pertubating forces, Paris, Bachelier, [1829].

Photo CHELINI, Dominico. 

CHELINI, Dominico. 

In Memorium Dominico Chelini. Collectanea Mathematica. Nunc Primum Edita cura et studio L.Cremona et E.Beltrami. 

Naples, Ulrici Hoepli, 1881.
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350 €

First edition,
Copy of the mathematician Amédée Mannheim (binding with his name gilt on the back).

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 DARBOUX, Gaston. 

DARBOUX, Gaston. 

Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal. 

Paris, Gauthier-Villars, 1887-1896.
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350 €

First edition.
Book compiling the lessons given at the Sorbonne by Gaston Darboux.

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