Euclide Megarense philosopho: solo introduttore delle scientie mathematice diligentemente reassettto, et alla integrita ridotto per il degno, professore di tal scientie Nicolo Tartalea, brisciano, secondo le due tradottioni: e per commune commodo & utilita di latino in volgar tradotto, con una ampla espositione dello istesso tradottore dinovo aggionta. Talmente chiara, che ogni mediocre ingegno, senza la notitia, ouer suffragio di alcun'altra scientia con facilita, sera capace ‡ poterlo intendere.

[Vinegia (i.e. Venice): Venturio Rossinelli ad instantia e requisitione de Guilielmo de Monferra, & de Pietro di Facolo da Vinegia libraro, 1543.]. First edition in Italian and first edition in a modern language, folio, 242 leaves, large woodcut device on colophon and on verso of final leaf; woodcut arms on title page; geometrical woodcut diagrams in the margins throughout; a good, complete copy in dirty old vellum, recased in the 19th century, with extensive paper repair to margins of the title-p. and following leaf, also with paper repairs to corners of a number of pages throughout; some leaves washed. The translation and commentary is by Niccolo Tartaglia, one of the most noted mathematicians of the 16th century who here has added his own preface, commentary and eulogy on the utility of mathematics. According to Stillman Drake, Galileo at Work, pp. 2-4, it is probably this translation that was used by Galileo. "Tartaglia's Italian translation of Euclid - the first published translation of the Elements into any living language of Europe - was an event of great importance to the progress of mathematics, and indeed of all applied sciences. For the first time the principal treasury of rigorous mathematical reasoning was open to men who knew neither Greek nor Latin. The implications of that event for the science of mechanics were great because literacy in Europe was very high, especially among engineers and artisans" (Drake & Drabkin, Mechanics in Sixteenth Century Italy, pp. 21-22). Adams E-992; Thomas-Stanford, Early Editions of Euclid's Elements, no. 34. Item #26575

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