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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.
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.
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.
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).
LAGRANGE, Joseph Louis.
Théorie des fonctions analytiques, contenant les principes du calcul différentiel, dégagés de toute considération d'infiniment petits ou d'évanouissans, de limites ou de fluxions et réduits à l'analyse algébrique des quantités finies.
Paris, Imprimerie de la République, An V [1797].
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1200 €
First edition, variant A with 276 pages (an other variant B has 277 pages, see Norman)
Copy as a prize awarded in 1806 to the Collège Sainte Barbe (the college's monogram on the covers) by Gaspard Monge to François de Sales Desnoyers (1788-1846). François Desnoyers joined the École Polytechnique in 1809, served in the Napoleonic campaigns, and lost an arm in Leipzig in 1814. In 1826, he became an Administrator at the École Polytechnique.
HADAMARD, Jacques.
Leçons de Géométrie élémentaire.
Paris, Armand Colin, 1898-1901.
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350 €
First edition.
Jacques Hadamard (1865-1963) was a French mathematician, known for his work in number theory, complex analysis, functional analysis, and differential geometry.
Volume I: Plane Geometry
Volume II: Geometry in space.
[MILLIET DE CHALLES, Claude-François ] || [OZANAM, Jacques].
Les élémens d'Euclide du R.P. Dechalles.
Paris, Claude Jombert, 1720.
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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.
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.
EULER, Léonard.
Introduction à l’analyse infinitésimale.
Paris, Barrois, An IV (1796) - an V (1797).
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1200 €
First french edition (The original edition is in Latin) of this fundamental work in which Euler discusses the general study of functions and highlights for the first time the connections between exponential and circular functions.
It introduces common abbreviations for trigonometric functions, and shows the relation cos θ + i sin θ = e (iθ).
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.
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.
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.
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.
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.
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.
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.
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.
[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.
VOGT, Henri Gustave.
Leçons sur la résolution algébrique des équations.
Paris, Librairie Vuibert, [1895].
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50 €
First edition.
The book includes a preface by Jules Tannery who writes: "truly indispensable to those who must one day speak of symmetric functions, of the transformation of equations, of the resolution of third and fourth degree equations, of the equations of the division of the circle."
Our copy bears a butterfly and a stamp from the Vuibert bookstore which had to buy back the stock of the publisher Nony.
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.
[GEOMETRIE].
Cours de géométrie manuscrit.
s.l., s.n., [v. 1800].
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Original manuscript.
Manuscript of an elementary geometry course (triangle, polygons, etc.), some figures in the text.
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.
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.
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.
GAULTIER DE BIAUZAT, Jean François.
Projet motivé d'articles additionnels à la loi, du 19 janvier 1791. Relative à l'organisation des Ponts & Chaussées.
Paris, Imprimerie nationale, 1791.
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120 €
First edition.
Proposed amendments to the law of January 19, 1791, which created the Corps of Ponts et Chaussées.
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.
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.
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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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.
COUSIN, Jacques-Antoine-Joseph.
Leçons de Calcul différentiel et de calcul intégral.
Paris, Jombert, 1777.
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200 €
First edition.
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