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VALLEMONT. La Sphère du monde, selon l'hypothèse de Copernic, décrite, démontrée, & comparée avec les sphères & les systèmes de Ptolomée, & de Tyco-Brahé. 

Paris, Prosper Marchand, 1707.

First edition of this work in which Vallemont provides a detailed description of the armillary sphere constructed by Jean Pigeon d’Osangi for Louis XIV, the first to be based on Copernicus heliocentric system.

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1500 €

ASTRUC, Jean. Mémoires pour servir à l'Histoire de la Faculté de Médecine de Montpellier. 

Paris, P.G. Cavelier, 1767.

First edition.

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400 €

[LA BEAUMELLE, L. Anglivel de || VOLTAIRE || EULER, Leonhard & MAUPERTUIS & MERIAN]. Recueil de quatre ouvrages :
1. [LA BEAUMELLE, L. Anglivel de]. Lettre du czar Pierre à Mr de Voltaire sur son histoire de Russie. 1761. sn, sl
2. [LA BEAUMELLE, L. Anglivel de]. Réponse au supplément du siècle de Louis XIV, 1754, Colmar.
3. [VOLTAIRE, François-Marie- Arouet (dit)], Histoire abrégée des religions du monde, ou l'analyse de l'Encyclopédie de Voltaire, première partie, [Seconde partie,] 1770. Cramer, Genève
4. EULER, Leohnard & MAUPERTUIS & MERIAN. Lettres concernant le jugement de l'Académie Royale des sciences et belles-lettres de Prusse, Paris, chez Durand et Pissot, 1753. 

s.l., s.n., 1753-1770.

First editions of these four book in one volume.

The two books "Lettre du czar Pierre à Mr de Voltaire sur son histoire de Russie" and "Réponse au supplément du siècle de Louis XIV" highlight a discord between two French intellectuals: Beaumelle (1726-1773) and Voltaire (1694 -1778).
The quarrel begins when La Beaumelle refuses to showt the letters from La Maintenon, which he owned, to Voltaire. Then follows a literary quarrel in which La Beaumelle undertakes to correct the errors of the following writings by Voltaire "Les Anecdotes sur le czar Pierre le Grand" and "l'Histoire de l'empire de Russie sous Pierre le Grand".
Then, La Beaumelle became "the enemy" of Voltaire and the two men can not be reconciled.

The third book is a condensed work written by Voltaire, in order to present his encyclopedia to be published later (it will be a major work). Voltaire explains his philosophical and theological reflections on God, idolatry, monotheistic and polytheistic religions.

This fourth book is related to a controversy between Maupertuis and König.
Indeed in 1744, Maupertuis exposes his "principle of the least action" which is an important principle of physics (according to which the dynamics of a physical quantity can be deduced from a single magnitude called action. Fundamental principles of physics can be formulated from this principle.).
In 1753, König publishes an article claiming the primacy of this discovery to Leibniz. Voltaire supports this version and will constantly ridicule Maupertuis, until breaking his privileged relationship with the King of Prussia, Frederic II who support Maupertuis.
This book contains the text of the letters by Euler, Merian and Maupertuis, defending the work of the latter. It mainly questioning the authenticity of a Leibniz's letter on which König relies on, quoting only extracts.
In fact, even if since the authenticity of the writing of Leibniz is recognized and that work on the subject had been conducted before by Fermat and Leibniz, the contribution of Maupertuis is decisive.
This principle was rigorously demonstrated by Lagrange in 1760.

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450 €

COUSIN, Victor. Fragments de Philosophie Cartésienne. 

Paris, Charpentier, 1845.

First edition.

This book by Victor Cousin (1792-1867) consists in several texts dealing with Cartesian Philosophy, as well as letters between Malebranche and Mairan, and between Malebranche and Leibnitz (unpublished).
Victor Cousin is a French philosopher, leader of the "École Éclectique". He edited the works of Descartes, translated Plato and Proclus, wrote a "Histoire de la philosophie au XVIIIème siècle" in 1829, "Du Vrai, du Beau et du Bien" in 1853, and several monographs on famous women of the seventeenth century.
He is considered in France as the founder of the tradition of history studies of Philosophy and the reformer of philosophical teaching in high schools.

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100 €

KHAYYAM, Omar. Rubaiyat of Omar Khayyam, The Astronomer-Poet of Persia, Rendered into English Verse. 

London, Macmillan and Co, 1909.

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100 €

ACADÉMIE ROYALE DES SCIENCES || LA HIRE, Philippe de || CASSINI || ROLLE || VARIGNON || HOSPITAL || TOURNEFORT || CHARAS. Mémoires de l'Académie Royale des Sciences. Depuis 1666 jusqu'à 1699. Tome X. 

Paris, Compagnie des Libraires, 1730.

This volume contains many articles for exemple on :
- astronomy (Cassini, La Hire, ...)
- mathematics (Rolle, Varignon, Hospital, ...)
- botanic (Tournefort, Charas, ...).

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200 €

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.

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.

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400 €

ACADÉMIE ROYALE DES SCIENCES || ROBERVAL, Gilles Personne de || PICARD, Jean. Mémoires de l'Académie Royale des Sciences. Depuis 1666 jusqu'à 1699. Tome VI. 

Paris, Compagnie des Libraires, 1730.

This volume contains articles from Roberval :
- Observations sur la composition des mouvemens & sur le moyen de trouver les touchantes des lignes courbes.
- Traité des indivisibles.
- De Trochoide ejusque spatio.

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250 €

MONTFERRIER, Alexandre-André-Victor Sarrazin de. Dictionnaire des sciences mathématiques pures et appliquées. 

Paris, Dénain et Delamare, 1835-1840.

First edition.

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250 €

SAVERIEN, Alexandre. Histoire des progrès de l'esprit humain dans les sciences naturelles et dans les arts qui en dépendent; savoir : L'Espace, le Vuide, le Temps, le Mouvement et le Lieu. La Matière ou les Corps. La Terre. L'Eau. L'Air. Le Son. Le Feu. La Lumière et les Couleurs. L'Electricité. L'Astronomie. Le Globe terrestre. L'Economie Animale. La Chimie. La Verrerie. La Teinture. Avec un Abrégé de la Vie des plus célèbres Auteurs dans ces Sciences. 

Paris, Lacombe, 1775.

The second, complete in itself, of the four volumes published by Savérien on sciences.
First edition.
Fine copy.

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250 €

[BAILLET, Pierre] || DESCARTES. La vie de Mr Descartes réduite en abrégé. 

Paris, Jean Musier, 1692.

The best biography of Descartes, written by one of his contemporaries.
Abridged edition published one year after the first edition.

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200 €

Histoire des recherches sur la quadrature du cercle. 1754. Montucla.
First edition

[MONTUCLA, Jean-Etienne]. Histoire des recherches sur la quadrature du cercle. 

Paris, Jombert, 1754.

Rare first edition published anonymously on the history of the "quadrature of the circle".

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750 €

BOSSUT, Charles. Histoire générale des Mathematiques depuis leur origine jusqu'à l'année 1808. 

Paris, Louis, 1810.

Second edition, most complet (including the history up to 1808).
Very good copy.

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400 €

SHTOKALO, Josif Zakharovich [Штокало И.З.]. Histoire des mathématiques russes [История отечественной математики]. 

Kiev [Киев], Naukova Dumka [Наукова думка], 1966-1970.

A major work on Russian history of mathematics (is russian).

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200 €

SMITH, David E. || MIKAMI, Yoshio. A History of Japanese Mathematics. 

Chicago, Open Court, 1914.

First edition.

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75 €

ANDONIE, George Stefan. Istoria Matematicii in Romania. 

Bucarest, Stiintifica, 1966.

First edition, in Romanian, of this book on the history of Romanian mathematics.

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35 €

DATTA, Bibhutibhushan || SINGH, Avadesh Narayan. History of Hindu Mathematics.
Parts I and II. 

Bombay, APH, 1962.

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25 €

LORIA, Gino Benedetto. Le Scienze Esatte nell'Antica Grecia. 

Milan, Ulrico Hoepli, 1914.

Second edition.
Presentation copy to Emile Picard from the Institut de France.

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150 €

LORIA, Gino Benedetto. Il Passato e il presente delle principali Teorie Geometriche. 

Torino, Carlo Clausen, 1896.

Second enlarge edition on this work on The past and present of the main geometric theories.

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60 €

[ROYAL SOCIETY]. Transactions Philosophiques de la Société Royale de Londres Année 1731 - Année 1732. 

Paris, Piget, 1741.

Fine copy.
French translation of the "Philosophical transactions" of years 1731 and 1732.

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150 €

BAILLY, Jean-Sylvain. Histoire de l'Astronomie ancienne, depuis son origine jusqu'à l'établissement de l'école d'Alexandrie. 

Paris, Debure, 1781.

Second edition of this classical work on the history of astronomy.

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120 €

BERTRAND, Joseph. L'Académie des sciences et les académiciens de 1666 a 1793. 

Amsterdam, B.M. Israël, 1969.

Reprint of the edition of 1869. Hetzel.
"One of the three 'standard histories of the Academy, this concentrates on the work of the society and the relationship of this to the activities of various of its members'.

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20 €

CANTOR, Moritz. Vorlesungen über Geschichte der Mathematik. 

Leipzig, Teubner, 1907-1913-sd-1908.

Major work on the history of mathematics, frome the origin to 1799.
First volume (1907) is in third edition, second volume (1913) is a new issue of the second edition, third volume is in second edition and last volume is in first edition (1908).

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FROBES, Jean-Nicolas. Historica et dogmatica ad mathesin introductio qua succincta matheseos historia cum ceteris eiusdem praecognitis nec non systematis mathematici delineatio compendio Wolfiano accomodata continentur. 

Helmstadii, Weygand, 1750.

Rare first edition (no copy in the french libraries (ccfr)) of this work on the history of mathematics.
The book is divided into two sections.
In the second, Frobes gives a brief description of arithmetic, geometry, trigonometry, mechanics, hydraulics, pyrotechnics, military and civil architecture, optics, perspective, astronomy, geography...
In the first part, he mainly deals with the history of mathematics in which he gives a fairly simple list of mathematicians and their discoveries.
According to Cantor, it was a work "quite useful" for its time in which its author cites its sources. (Cantor III, 499).

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HUTTON, Charles. A Philosophical and Mathematical Dictionary:
containing an explanation of the terms, and an account of the several subjects, comprised under the heads
Mathematics, Astronomy, and Philosophy both natural and experimental;
with an Historical Account of the rise, progress, and present state of these Sciences;
also Memoirs of the Lives and Writings of the Most eminent Authors, both ancient and modern, who by their discoveries or improvements have contributed to the advancement of then. 

London, Printed for the Author, 1815.

Very good copy of the second revised edition of this famous comprehensive scientific encyclopaedia in English.

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KÄSTNER, Abraham Gotthelf. Geschichte der Mathematik seit der Wiederherstellung der Wissenschaften bis an das Ende des 18. Jahrhunderts. 4 Bde. Band 1: Arithmetik, Algebra, Elementargeometrie, Trigonometrie, Praktische Geometrie bis zum Ende des 16. Jahrhunderts. Bd.2: Perspectiv, Geometrische Analyse und höhere Geometrie, Mechanik, Optik, Astronomie. Bd.3: Reine Mathematik, Analysis, praktische Geometrie bis an Cartesius. Bd.4: Mechanik, Optik, Astronomie. Nachtrag. 

Hildesheim, Olms, 1970.

Reprint of the edition of Göttingen, 1796-1800.

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CHASLES, Michel Floréal. Rapport sur les progrès de la géométrie. 

Paris, Imprimerie Nationale, 1870.

First edition of this important work for the history of mathematics and is still a very valuable source for the history of geometry from 1800 to 1866 and for Chasle's own work in particular and for the works of the following franch mathematicians form 1800 to 1868 :

*1800-1830 : Meusnier, Lancret, Poinsot, Hachette, Dupin, Livet, Brianchon, Malus, Binet, Cauchy, Gaultier (de Tours), Sophie Germain, Rodrigues, Poncelet, Lamé, Fresnel (Surface des ondes), Gergonne (Annales de mathématiques), Sturm, Bobillier, Olivier, Duhamel, Chasles.
*1832-1846 :Liouville, Lamé, Wantzel, Sturm, Breton (de Champ), Duhamel, Rodrigues, Delaunay, Binet, Transon, Catalan, Brassinne, Serret, Puiseux, Amiot, Bertrand, Molins, De Saint-Venant, Ossian Bonnet, Bouquet.
* 1847-1868 : Frenet, Bravais, De la Gournerie, Voizot, Mannheim, Bourget, Poudra, Tissot, Bresse, Laguerre, Valson, Garlin, Serret, Bour, De Jonquières, Picard, Reech, Résal, Haton de la Goupillière, Combescure, l'abbé Aoust, Moutard, Massieu, Painvin, Jordan, Darboux, Borgnet, Besge (Liouville), Vannson, Dewulf, Meray, Durrande, Desboves, Picquet, Pigeon, Souillart, Gohierre de Longchamps, Lévy, Habich, Ribaucour.

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BOYER, Carl. History of Analytic Geometry. 

New York, Scripta Mathematica, 1956.

First edition.

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SMITH, David Eugene. History of Mathematics.
Vol. I-General Survey of the History of Elementary Mathematics & Vol. II-Special Topics of Elementary Mathematics. 

New York, Dover publications, 1958.

Classic work contains a concise chronological history of mathematics with references to racial and geographical conditions. Organized by topics in Vol. I-with detailed biographical and bibliographical references; and the evolution of certain important topics from prehistoric times through the early twentieth century in Vol. II.

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OCAGNE, Maurice d' || DUGAS, René. Histoire abrégée des sciences mathématiques - ouvrage recueilli et achevé par René Dugas. 

Paris, Vuibert, [1955].

First edition.

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