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TARTAGLIA, or TARTALEA, NICCOLO (c. 1...

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Originally appearing in Volume V26, Page 435 of the 1911 Encyclopedia Britannica.
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TARTAGLIA, or TARTALEA, NICCOLO (c. 1506—1559)  , See also:Italian mathematician, was See also:born at See also:Brescia . His childhood was passed in dire poverty . During the See also:sack of Brescia in 1512, he was horribly mutilated by some See also:French soldiers . From these injuries he slowly recovered, but he See also:long continued to stammer in his speech, whence the See also:nickname, adopted by himself, of " See also:Tartaglia." See also:Save for the barest rudiments of See also:reading and See also:writing, he tells us that he had no See also:master; yet we find him at See also:Verona in 1521 an esteemed teacher of See also:mathematics . In 1534 he went to See also:Venice . For Tartaglia's See also:discovery of the See also:solution of cubic equations, and his contests with See also:Antonio See also:Marie Floridas, see See also:ALGEBRA (See also:History) . In 1548 Tartaglia accepted a situation as See also:professor of See also:Euclid at Brescia, but returned to Venice at the end of eighteen months . He died at Venice in 1559 . Tartaglia's first printed See also:work, entitled Nuova scienzia (Venice, 1537), dealt with the theory and practice of gunnery . He found the See also:elevation giving the greatest range to be 45°, but failed to demonstrate the correctness of his See also:intuition . Indeed, he never shook off the erroneous ideas of his See also:time regarding the paths of projectiles, further than to see that no See also:part of them could be a straight See also:line . He nevertheless inaugurated the scientific treatment of the subject .

His Quesiti et invenzioni diverse, a collection of the author's replies to questions addressed to him by persons of the most varied conditions, was published in 1546, with a See also:

dedication to See also:Henry VIII. of See also:England . Problems in See also:artillery occupy two out of nine books; the See also:sixth treats of fortification; the ninth gives several examples of the solution of cubic equations . He published in 1551 Regola generale per sollevare ogni affondata See also:nave, intitolata la Travagliata Invenzione (an allusion to his See also:personal troubles at Brescia), setting forth a method for raising sunken See also:ships, and describing the diving-See also:bell, then little known in western See also:Europe . He pursued the subject in Ragionamenti sopra la Travagliata Invenzione (May 1551) . His largest work,Trattato generale di numeri e misure, is a comprehensive mathematical See also:treatise, including See also:arithmetic, See also:geometry, See also:mensuration, and algebra as far as quadratic equations Venice, 1556, 156o) . He published the first Italian See also:translation of Euclid (1543), and the earliest version from the See also:Greek of some of the See also:principal See also:works of See also:Archimedes (1543) . These included the See also:tract De insidentibus See also:aquae, of which his Latin now holds the See also:place of the lost Greek See also:text . Tartaglia claimed the invention of the See also:gunner's quadrant . Tartaglia's own See also:account of his See also:early See also:life is contained in his Quesiti, See also:lib. vi. p . 74 . See also Buoncompagni, Intorno ad un testamento inedito di N . Tartaglia (See also:Milan, 1881); See also:Rossi, Elogi di Bresciana illustri, p .

386 . Tartaglia's writings on gunnery were translated into See also:

English by Lucar in 1588, and into French by Rieffel in 1845 .

End of Article: TARTAGLIA, or TARTALEA, NICCOLO (c. 1506—1559)
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