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Mathematics
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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.
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.
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).
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.
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.
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.
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.
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.
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.
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.
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.
LA CHAPELLE, Abbé Jean-Baptiste de.
Institutions de géométrie.
Paris, Debure l'aîné, 1746.
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400 €
First edition.
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.
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.
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.
MANUSCRIT.
94 planches.
s.l., s.n., 1834-1835.
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350 €
Collection of mathematical and architectural drawing of a student (Frenet), in the style of the drawings taught at the Ecole Polytechnique, with a first set of plates for the curved part, surfaces, perspectives, shadows (78 boards) and 16 plates on architecture.
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).
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.
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.
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.
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].
DE LA GOURNERIE, Jules.
Recherches sur les surfaces réglées tétraédrales symétriques.
Paris, Gauthier-Villars, 1867.
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300 €
First edition
With notes by Arthur Cayley.
Jules de la Gournerie (1814-1883) engineer of bridges and roads and mathematician, was professor at the Ecole Polytechnique then at the conservatory of arts and trades where he will hold the chair of descriptive geometry.
MAILLET, Edmond.
Introduction à la Théorie des Nombres Transcendants et des propriétés arithmétiques des fonctions.
Paris, Gauthier-Villars, 1906.
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300 €
First edition.
Edmond Théodore Maillet (1865-1938) is one of the rare French mathematicians of the 19th century working in algebraic number theory.
DUPIN, Charles.
Applications de géométrie et de méchanique, à la Marine, aux Ponts et Chaussées, etc. Pour faire suite aux développements de Géométrie.
Paris, Bachelier, 1822.
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300 €
First edition.
Dupin is known for it's theorem and for the cyclides of Dupin.
Today, Dupin cylides are used in computer-aided design (CAD), because cyclide patches have rational representations and are suitable for blending canal surfaces (cylinder, cones, tori, and others).
It's in this work that Dupin use for the first time the word "Cyclid" and give the demonstration of their existance and their main properties.
MERAY, Charles.
Nouveau précis d'analyse infinitésimale.
Paris, Savy, 1872.
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300 €
First edition.
MOIGNO , Francois Napoleon Marie.
Leçons de calcul différentiel et de calcul intégral, rédigées d'après les méthodes et les ouvrages publiés ou inédits de A.L. Cauchy.
Paris, Bachelier, 1840-1844.
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Rare first edition, of one of the most complete treatise on differential and integral calculus of the middle of nineteenth century.
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.
CARNOT, Lazare Nicholas Marguerite.
De la corrélation des figures de géométrie.
Paris, Duprat, An IX = 1801.
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300 €
First edition.
LACROIX, Sylvestre-François.
Traité élémentaire de trigonométrie rectiligne et sphérique, et d'application de l'algèbre à la géométrie.
Paris, Duprat, An VII [1798].
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280 €
First edition
Sylvestre-François Lacroix (1765-1843) is a French mathematician best known for his work on differential and integral calculus. He assists Monge in writing the descriptive geometry course given at the École normale de l'an III.
DARBOUX, Gaston.
De l'Emploi des fonctions elliptiques dans la théorie du quadrilatère plan.
Paris, Gauthier-Villars, 1879.
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250 €
Offprint from the Bulletin of Mathematical Sciences, 2nd series, TIII, 1879
Gaston Darboux (1842-1917) is a French mathematician, he succeeds in 1878 to Chasles at the chair of geometry superior of the faculty of sciences of Paris.
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