Beschreibung
I. Acta Eruditorum anno MDCXCII publicata. Leipzig: J. Grosse and J.F. Gleditsch, 1692. [2], 570, [28] pp., 13 (8 folding) engraved plates. Some pale spotting in places, lower blank corner of p. 33/34 torn. [Bound with]: II. Acta Eruditorum anno MDCXCIII publicata. Leipzig: J. Grosse and J. Fritsch, 1693. [2], 546, [46] pp., 6 (3 folding) engraved plates, text diagrams. 4to (197 x 164 mm). Contemporary full vellum, spine titled in ink, black sprinkled edges, original endpapers. Text crisp and clean throughout, plate 6 with pale spotting. Some page numbers corrected in ink. ---- FIRST EDITION. Ravier 116, 118, 121, 123-125 (I), 127, 131-132 (II); DSB, 8, S. 163 ff.; Diesch 1; Kirchner 1; Ebert 70. With several contributions by Leibniz and Jacob and Johann Bernoulli dealing with the solution of mathematical questions raised by Leibniz. The first volume contains 3 important contributions by G.W. Leibniz, I. De linea ex lineis numero infinitis, II. Constructio testitudinis quadrabilis hemisphaericae, III. Generalia de natura linearum anguloquue contactus et osculi. In the first work, Leibniz introduces two important concepts into geometry, that of "curvilinear coordinates" and that of "envelopes" and describes a method for obtaining the envelope of a family of curves by differentiating the family of curves according to one or more parameters. The second work contains the solution to the "Florentine task" set by Vincenso Viviani. Leibniz solved the task within 24 days. In the third contribution, Leibniz gives a general definition of parallelism. Other notable works contained are: J. Bernoulli, Solutio Curvae Causticae, J. D. Cassini, Diversae Motus Periodi in Jove; E. Halley, Emendationes in tria loca Naturalis Historiae C. Plinii; B. Ramazzini, De Fontium Mutinensium; Dissertatio de Constitutione; E. Halley, Reputatio Circulationis aqueorum maris vaporum; R. Boyle, Experimenta medica. The second volume contains on pp. 40-42 the first appearance of G.W. Leibniz's Protogaea (see Hoover Coll. 521 and Wolf, History of Science in the 16-17th cent., p. 352). Other notable contributions by Leibniz in this volume are: Supplementum geometriae dimensoriae; Excerptum ex epistola cui praecedens meditatio suit inclusa; and Codex juris gentium diplomaticus. - Visit our website to see more images! Bestandsnummer des Verkäufers 003697
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