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    FIORENTINO, Francesco Ghaligai.

    Edité par Appresso i Giunti Florence, 1552

    Vendeur : Konstantinopel ANTIQUARIAN BOOKSELLERS., ENSCHEDE, Pays-Bas

    Membre d'association : ILAB NVVA

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    Ancien ou d'occasion - Couverture rigide
    Etat : Very Good

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    Hardcover. Etat : Very Good. FIORENTINO, Francesco Ghaligai. Pratica d'arithmetica di francesco ghaligai fiorentino. Nuovamente rivista, & con somma diligenza ristampata. In Firenze : Appresso i Giunti. MDLII 1552. Contemporary vellum. 8vo. (20 x 15 cm). Margin of the title page restored. Some outer restored with Japanese vellum. With Giunta lily and snake device on title-page and verso of last leaf. Ownership inscription of Pietro di Giacomo Cataneo, (1510-1574) a mathematician and an architect. Last leaf on verso completely annotated (probably in his hand). No auction records Francesco Ghaligai proposes a new notation for powers of the unknown. but the other notations never caught on with other authors. However, it is believed that it may have had a significant influence on the study of mathematics. This opinion is based on the fact that his book is much simpler than other books such as Pacioli's Suma, and therefore could have been used more easily as an introduction to mathematical study. Ghaligai's work is divided into thirteen books, the first nine of which are wholly arithmetical. The last four are devoted to algebra, including Regula dell' Arcibra, which, like other works of the time, includes long explanations of methods for the extraction of roots and operations with binomial surds classified as they are found in Euclid's Elements. Book ten contains a theoretical treatment of the solution of equations, where we find the equation with one variable in the six forms given by the Arab writer Al-Khwarizmi in his ninth-century algebra. Book XIII, the last and most intriguing section of the text, contains forty-seven problems that cannot be attributed to any other author. Two men found a purse. Said the first to the second, "Give me the purse and the cube root of your money, and I shall have as much as you." Said the second to the first, "Give me the purse and the square root of your money, and I shall have seven times as much as you." The question is, how much was in the purse, and how much had each man at first. But there are more abstract ones as well, Find five numbers in continued proportion such that the sum of the second and fourth shall be 10, and the sum of the products of each number by each of the others shall be 620. It seems improbable that Ghaligai wrote primarily for merchants, as has been sometimes assumed. He seems rather to have been a teacher introducing mercantile problems for the sake of interest. It is interesting from many points of view, and considered as a means by which the works of Fibonacci, Pacioli and many others were made accessible to students of the time.