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Mathematics

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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 AGNESI, Maria Gaetana. 

AGNESI, Maria Gaetana. 

Traités élémentaires de calcul différentiel et de calcul intégral. Traduits de l'italien de Mademoiselle Agnesi, avec des additions. 

Paris, Claude-Antoine Jombert, 1775.
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2000 €

First edition in french.
Agnesi is according to DSB : "the first woman in the Western world who can accurately be called a mathematician".
Rare treatise on algebra and analysis which met a great success.
It was considered as the clearest, the more methodical and the most comprehensive work on the subject.

Photo COUSIN, Jacques-Antoine-Joseph. 

COUSIN, Jacques-Antoine-Joseph. 

Leçons de Calcul différentiel et de calcul intégral. 

Paris, Jombert, 1777.
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200 €

First edition.

Photo PASCAL, Blaise. 

PASCAL, Blaise. 

Oeuvres de Blaise Pascal. 

La Haye [Paris], Detune, 1779.
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2500 €

The first and sole ancient collective edition, partially original.

Published by Bossut, this edition is illustrated with a portrait and 14 plates.
Among the unpublished there are many "pensée", writings on Grace, the Treaty of vacuum and and extensive correspondence.
Volumes IV and V contain the scientific works.
We found the second printing of the describing of invention of the computing machine of Descartes (TIV, pages 7-30). The first edition, certainly printed by the author, is unobtainable (only two copies known).
Also of interest here is the reprint of Pascal's 1654 paper introducing his triangle of binominal coefficients (Pascal's Triangle), included in Volume V, pages 1-54. Pascal's invention "predated the concepts of computation of the values of polynomial functions by differences.".

Photo PASCAL, Blaise. 

PASCAL, Blaise. 

Oeuvres de Blaise Pascal. 

La Haye [Paris], Detune, 1779.
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1500 €

First and only old collective edition,
Published by Bossut, this edition is illustrated with a portrait and 14 plates.
Among the unpublished there are many "pensée", writings on Grace, the Treaty of vacuum and and extensive correspondence.
Volumes IV and V contain the scientific works.
We found the second printing of the describing of invention of the computing machine of Descartes (TIV, pages 7-30). The first edition, certainly printed by the author, is unobtainable (only two copies known).
Also of interest here is the reprint of Pascal's 1654 paper introducing his triangle of binominal coefficients (Pascal's Triangle), included in Volume V, pages 1-54. Pascal's invention "predated the concepts of computation of the values of polynomial functions by differences.".

Photo MANUSCRIT DE MATHÉMATIQUES. 

MANUSCRIT DE MATHÉMATIQUES. 

Calcul géométral.
Analyse. 

s.l., s.n., [1780].
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Eighteenth-century course of analysis, of a very readable writing.

Definitions, theorems, corollaries are numbered. Our volume starting at number 206, there was certainly written a first volume.
Our volume deals with the problems of the first degree with an unknown, the extraction of the roots, the substitution, with many problems and their solutions. Then are treated problems of two unknowns and first degree, the solidity of the sphere.

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 CAGNOLI, Antoine. 

CAGNOLI, Antoine. 

Traité de trigonométrie rectiligne et sphérique, Contenant des Méthodes et des Formules nouvelles, avec des applications à la plupart des problêmes de l'Astronomie. 

Paris, Didot fils ainé, 1786.
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200 €

First french edition.
Translation by Chompré of the work of Antoine Cagnoli, Italian astronomer and mathematician.
Prize-giving copy of the Ecole centrale de la Dorgogne awarded in 1799.

Photo GUYOT, Edme-Gilles. 

GUYOT, Edme-Gilles. 

Nouvelles Récréations Physiques et Mathématiques, contenant ce qui a été imaginé de plus curieux dans ce genre, et ce qui se découvre journellement. 

Paris, Gueffier, 1786.
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900 €

Third edition. Complete of it's 102 plates (we have 103 plates. pl. 48 of P2 in double)
34 plates of volume 2 are watercolored.

This book is one of the most complete and certainly the most beautifully illustrated works of popular science that developed in the late eighteenth century (Ozanam, Nollet, ...).
The first volume deals with mathematics, magnetism, and electricity. The second volume deals with geometry, optics, catoptrics, dioptrics, fire, air and water. The last volume is organized around the following themes: numbers, hand addresses and card tricks.

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 MAUDUIT, Antoine. 

MAUDUIT, Antoine. 

Leçons de géométrie théorique et pratique. 

Paris, Didot et Bleuet, 1790.
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150 €

Mauduit's purpose stated in the preface was:
"to compose a work more especially dedicated to all those who are destined to the military or civil genius, and the architecture, which embraces all the arts which it directs and which it animates.".

Photo GAULTIER DE BIAUZAT, Jean François. 

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.

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 [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 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 EULER, Léonard. 

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).

Photo LACROIX, Sylvestre Francois. 

LACROIX, Sylvestre Francois. 

Traité du calcul differentiel et du calcul integral. 

Paris, J.B.M. Duprat, 1797-1798-1800.
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850 €

First edition.
Rare with the third volume, published separatly, under the title "Traité des différences et des séries" and that will be included in the second edition of the "Traité du calcul differentiel et du calcul integral".

Photo CARNOT, Lazare. 

CARNOT, Lazare. 

Réflexions sur la métaphysique du calcul infinitésimal. 

Paris, Duprat, 1797.
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850 €

Rare first edition, complete with the folding plate.

Photo LAGRANGE, Joseph Louis. 

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.

Photo LACROIX, Sylvestre Francois. 

LACROIX, Sylvestre Francois. 

Traité du calcul differentiel et du calcul integral. 

Paris, J.B.M. Duprat, 1797-1798-1800.
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First edition.
Rare with the third volume, published separatly, under the title "Traité des différences et des séries" and that will be included in the second edition of the "Traité du calcul differentiel et du calcul integral".

Photo BOSSUT, Charles. 

BOSSUT, Charles. 

Traités de calcul différentiel et de calcul intégral. 

Paris, Imprimerie de la République, An VI [1798].
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First edition.
Interesting preliminary text of 80 pages on the history of differential and integral calculus.
A reference texbook on the subject.

Photo LACROIX, Sylvestre-François. 

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.

Photo MONTUCLA, Jean Etienne. 

MONTUCLA, Jean Etienne. 

Histoire des Mathématiques, dans laquelle on rend compte de leur progrès depuis leur origine jusqu'à nos jours; où l'on expose le tableau et le développement des principales découvertes dans toutes les parties des Mathématiques, les contestations qui se sont élevées entre les Mathématiciens, et les principaux traits de la vie des plus célèbres. 

Paris, Henri Agasse, 1799-1802.
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1500 €

Most complete edition in 4 volumes.
The first edition was published in 2 volumes, Montucla was to complete it with a third but died before its publication. It is Jérôme De La Lande who will finally publish the last two volumes according to Montucla's notes.
A reference on the history of mathematics.

Photo MONGE, Gaspard. 

MONGE, Gaspard. 

Géométrie descriptive. Leçons données aux écoles normales, l'An 3 de la république. 

Paris, Baudouin, An VII [1799].
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950 €

First edition, first issue with the errata at the verso of page vii.
"Monge is regarded as the creator of descriptive geometry, for 'it ws he who elegantly and methodically converted the group of graphical procedures used by practionners into a general uniform technique based on simple an rigorous reasoning and methods ...Monge's systematic use of cylindrical projection and, more discreetly, that of central projection, opened the way to the parallel creation of projective and modern geometry' (DSB). It was primarily through Monge's teachings, both at the ephemeral École de l'an III and the École Polytechnique, that descriptive geometry, analytical geometry and differential geometry were established as special fields".(Norman).

Photo [GEOMETRIE]. 

[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.

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 MANUSCRIT de mathématiques. 

MANUSCRIT de mathématiques. 

Mathématiques. 

s.l., s.n., [v. 1800].
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250 €

Manuscript of the late eighteenth,early nineteenth century of elementary mathematics.
Well written, it deals with arithmetic (operations on numbers and fractions), divisibility, greatest common divisor, proportion, complex numbers (operations on weight).
We also found it a very interesting chapter on the new measures, conversions francs / pounds and the introduction of the metric system. The definition of the franc corresponds to that of 15 August 1795.

Photo CARNOT, Lazare Nicholas Marguerite. 

CARNOT, Lazare Nicholas Marguerite. 

De la corrélation des figures de géométrie. 

Paris, Duprat, An IX = 1801.
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300 €

First edition.

Photo BOSSUT, Charles. 

BOSSUT, Charles. 

Essai sur l'histoire génerale des Mathematiques. 

Paris, Louis, 1802.
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250 €

First edition of Charles Bossut's important history of mathematics.
Very good copy.
Untouched copy. As issued.

Photo REYNAUD, Antoine André Louis. 

REYNAUD, Antoine André Louis. 

Trigonométrie analytique, précédée de la théorie des logarithmes, et suivie des tables de logarithmes des nombres et des lignes trigonométriques. 

Lyon, Courcier, 1805.
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45 €
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