Fontenelle

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"(FONTENELLE, BERNARD de).Livre Rare Book

Élements de la Geometrie de L'Infini. Suite des Memoires de l'Academie Royale des Sciences. Paris, De L'Imprimerie Royale, 1727.

(FONTENELLE, BERNARD LE BOUYER de).Biblio.com

Élements de la geometrie de L'Infini. Suite des Memoires de l'Academie des Sciences.

172759036Paris L'Imprimerie Royale 1727. 4to. Fine contemp. full calf. Raised bands. Richly gilt spine. Tome- and titlelabels with gilt lettering. Gilt borders on covers. A small nick in leather at upper compartmen. Light wear to foot of spine. 26548 pp. 1 folded engraved plate. Clean and fine. The offered item includes the entire volume of "Histoire de L'Academie Royale des Sciences. Années MDCCXXV. Paris L'Imprimerie Royale 1727" of which the memoir of Fontenelle is printed as a "suite". With the engraved frontispiece. 61543542 pp. 14 partly folded engraved plates. Original papers by: Maraldi Petit Nicole Winslow du Fay Pitot Delisle d'Aine Geoffroy le Cadet Reaumur Nicole Cassini de Mairan Saurin de Lagny Fizes. First edition. "In 1727 as a "Suite des mémoires de l’Académie royale des sciences" he published the Élémens de la géométrie de l’infini. Some doubted whether it was really the work of a mathematician but the author believed it was and attached great value to it. He had worked on it for a long time probably since the period of his preface to the Analyse des infiniment petits. The term élémens is to be understood in the sense of "first principles." According to Fontenelle none of the geometers who had invented or employed the calculus of infinity had given a general theory of it; that is what he proposed to do. The work is divided into a preface relating the history of this branch of calculus and into two main parts: "Système général de l’infini" and "Différentes applications ou remarques." The author discusses "the infinite in series or in progressions of numbers" and then examines "the infinite in straight and curved lines" in the words of the Abbé Terrasson who reviewed the work in the Journal des sçavans July-October 1728." There was a great deal of discussion in the scientific community about this work in which mathematicians found numerous paradoxes. Johann I Bernoulli for example in his correspondence with Fontenelle allowed his criticisms to show through his praise: he did not understand what was meant by finis indéterminables. Fontenelle attempted to defend his theory and above all his distinction between metaphysical infinity and geometric infinity: one must ignore the metaphysical difficulties in order to further geometry and the finis indéterminables ought to be considered "as a type of hypothesis necessary until now in order to explain several phenomena of the calculus" letter to Johann I Bernoulli 29 June 1729. "The orders of infinite and indeterminable quantities like the magnitudes that they represent are only purely relative entities hypothetical and auxiliary. The subject matter of mathematics is only ideal" according to the terms of a "Projet de rapport" of Dortous de Mairan to the Academy on this work." DSB. hardcover

Herman H. J. Lynge & Søn A/S · Danemark8 500,00 DKK≈ 1 141,55 €

[FONTENELLE, Bernard le Bovier (1657-1757)]Biblio.com

Éléments de la Géometrie de lInfini suite des memoires de lAcademie Royale des Sciences

1727D11894Paris: De LImprimerie Royale 1727. First Edition. Hardcover. Good. 4to 249 x 187mm. 26 548 pages. Title with woodcut royal printers device fleur-de-lis three under crown. Folding engraved plate of figures of planes. Contemporary mottled calf gilt marbled endpapers spine gilt in compartments with morocco lettering label ELEMENTS DE LA GEOMETRIE; occasional toning light soiling and minor stains on title light marginal dampstaining mostly in middle of volume wormtrail and dampstaining in blank upper margins toward end few stains in upper margin of plate nothing severe a good book in contemporary binding. Near contemporary ink inscription French surname Baudoin on end-leaf another instance cancelled and No. 17 on title. 1727 first edition of Fontenelles published theories on inifinitesimal calculus plenty in philosophical dialogue. While Éléments de la Géometrie de lInfini was praised by Alexis Fontaine des Bertins as an inspiration Fontenelles contemporary mathematicians did not consider his book to be a mathematical work. Fontenelles main desire in line with early-Enlightenment ideals was to make science accessible to the layman. His work laid the foundations for such discussion by taking a philosophical approach to the calculus of infinity writing in a novelistic style. For infinity Fontenelle studied the curvatures of the plane curves using the sines of angles of contingence although in practice Fontenelles theories contained many paradoxes. The result was that Fontenelles work was increased and expanded on by his supporters famously by the Jesuit mathematician Louis-Betrand Castel. In addition Fontenelles work was the basis on Fontaines 1731 work on the curvature of plane curves which presented new formulas on infinity and was a highly praised work in the Paris Academy. OCLC locates several institutional copies in the US additionally held in microform. Fontenelles is a classic and fundamental textbook work on geometry from the French Enlightenment-era still containing valuable points. De LImprimerie Royale hardcover

Sanctuary Books · États-Unis6 000,00 $US≈ 5 076,60 €

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