2 Three essays on the infinitesimal /Virtual Book Fair 106


Description: Three essays on the infinitesimal in one volume

TORELLI, Guiseppe.
De nihilo geometrico, libri II.

Verona, Augustinus Carattonius, 1758. 8vo. Contemporary half calf, spine gilt with orange title-label, reading "Miscellanea" and a paper label lettered in ink, blue sprinkled edges. With allegorical woodcut vignette on title, and many geometrical woodcuts in text. 117, (3 blank) pp.

(2) SALADINI, Girolamo. Elementa geometriae infinitesimorum. Libri tres. Bologna, Ex typographia S. Thomae Aquinatis, 1760. With large allegorical engraved vignette on title, title printed in red and black, and with numerous geometrical figures on 9 folding engraved plates. XIV, (2), 139, (3) pp.

(3) CARNOT, (Lazare). Oeuvres mathématiques. Basel, J. Decker, 1797. With stipple- engraved portrait of Carnot by Jacques de Michel, and geometrical figures on folding engraved plate. XVI, 208 pp.

Three important scientific works, contemporarily bound together in one volume.
Ad 1. First edition of a text book by Guiseppe Torelli (1727-1781), a famous Italian mathematician and author of various works on geometry, presenting new bases for infinitesimal analysis, which had been started but not exhaustively treated by Newton and Leibnitz. The treatise is divided into two parts, containing 20 and 34 "Propositions" respectively.
Ad 2. First edition of a similar essay by the Italian mathematician Girolamo Saladini (1731-1813), with full references to Newton and Leipnitz. Saladini's work is divided into three parts, the first giving axiomas and theoremas, and the other two with 16 and 18 "Propositions" respectively, the last part closing with three "Scholions". A modern paperback edition appeared in 2009 (Univ. of Michigan Library).
Ad 3. The mathematical works by Lazare Carnot, "Citoyen Carnot" as he is called on the title, are no doubt the most interesting of all three works bound together here. They consist of all Carnot had published so far, in the first place his "Essai sur les Machines en général", originally published anonymously in Dyon in 1783, which contains his famous theorema on the loose of driving power. Divided into two parts, this treatise contains all the elements of engineering mechanics, and represents the first truly theoretical work on the subject. In the second place Carnot's "Mathematical Works" presents, on the last 80 pages, his "Réflexions sur la métaphysique du calcul infinitésimal", an interesting philosophical discussion of the subject. Lazare Nicolas Marguerite Carnot (1753-1823), mathematician, military and politician, organized as a member of the Comité du Salut Public the "levée en masse", for which he was called the "Organisator of Victory". After Thermidor he became a member of the Directoire and organized the plans of the campaign of 1796. From 1797-1799 he was in exile, hence the present works were published in Basle. For a short time in 1800 he was Minister of Government.

Fine copy of an interesting collection.- (Few quires sl. browned).
Ad 1: Riccardi II, 538; ad 3: Dictionary of Scient. Biography III, p. 78.
  • Number: 1060458 (21824)
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