LEUPOLD, Jacob (1674-1727). Theatrum arithmetico geometricum, das ist: Schau-Platz der Rechen- und Mess-Kunst ... insonderheit wird hierinnen erkläret: Der Nutzen und Gebrauch des nicht gnugsam zu preisenden Proportional-Zirckels. Leipzig: for the author and son of J.F. Gleditsch by Christoph Zunkel, 1727. [With:] Theatri machinarum supplementum das ist: Zusatz zum Schau-Platz. Leipzig: for the author and Bernhard Christoph Breitkopf, 1739. 2 parts in one volume, 2° (372 x 239mm). Half titles, titles in red and black, 45 plates, numbered I-XLIII in the first part (plate III with volvelle), 40 plates on 36 sheets, numbered I-XL in the second part, most plates pasted on outer margin of text leaves, (light browning, a little stronger in register at end). Contemporary vellum, 2 cuts in spine, modern slipcase. Provenance: Stadtbauamt Augsburg; Stadtbibliothek Augsburg (stamps on half title and title, sold as duplicate (with stamp) -- Arnaud de Vitry (bookplate).
FIRST EDITION of the best illustrated work on calculation and during the eighteenth century. It describes and illustrates the digital calculating machines of Schott (1668), Grillet (1673), Leibniz (1674), Poleni (1709), and Leupold himself, along with Napier's rods and several calculation tables. It also discusses and illustrates the various analogue devices available, including slide rules and sectors, and other calculating and measuring rules, as well as systems of computing using the fingers. This is the eighth volume of Leupold's Theatrum machinarum, a nine-volume series on machine design and technology published between 1724 and 1739 (the posthumous ninth volume, entitled Theatri machinarum supplementum, was edited by Joachim Ernst Scheffler).