Niccolo Fontana Tartaglia - Wikipedia Niccolo Fontana Tartaglia (15001557) was an Italian mathematician, an engineer (designing fortifications), surveyor http://www.wikipedia.org/wiki/Niccolo_Fontana_Tartaglia
Extractions: Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help From Wikipedia, the free encyclopedia. Niccolo Fontana Tartaglia (1500-1557) was an Italian mathematician , an engineer (designing fortifications), surveyor (topography w/r best means of defense or offense), and bookkeeper. He published many books, including the first Italian translations of Archimedes and Euclid , and an acclaimed compilation of mathematics . Tartaglia was the first to apply mathematics to the investigation of the paths of cannonballs; his work was later validated by Galileo 's studies on falling bodies. Tartaglia is perhaps best known today for his conflicts with Gerolamo Cardano . Cardano nagged Tartaglia into revealing his solution to some cubic equations, by promising not to print them. Several years later, Cardano happened to see unpublished work by another mathematician who independently came up with the same solution as Tartaglia. As the unpublished work was dated before Tartaglia's, Cardano decided his promise could be broken, and included Tartaglia's solution in his next publication. In spite of the fact that Cardano credited his discovery, Tartaglia was extremely upset. He responded by publicly insulting Cardano personally as well as professionally.
Tartaglia Niccolo Fontana Tartaglia. Born Niccolo Fontana known as Tartaglia,was born in Brescia in 1499, the son of a humble mail rider. He http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Tartaglia.html
Extractions: Niccolo Fontana known as Tartaglia, was born in Brescia in 1499, the son of a humble mail rider. He was nearly killed as a teenager, when in 1512 the French captured his home town and put it to the sword. Amidst the general slaughter, the twelve year old boy was dealt horrific facial sabre wounds that cut his jaw and palate and he was left for dead. His mother's tender care ensured that the youngster did survive, but in later life Niccolo always wore a beard to camouflage his disfiguring scars and he could only speak with difficulty, hence his nickname Tartaglia, or stammerer. Tartaglia was self taught in mathematics but, having an extraordinary ability, was able to earn his living teaching at Verona and Venice. As a lowly mathematics teacher in Venice, Tartaglia gradually acquired a reputation as a promising mathematician by participating successfully in a large number of debates. The first person known to have solved cubic equations algebraically was del Ferro but he told nobody of his achievement. On his deathbed, however, del
Poster Of Tartaglia Niccolo Fontana. lived from 1499 to 1557. Tartaglia was famed for his algebraicsolution of cubic equations which was published in Cardan's Ars Magna . http://www-gap.dcs.st-and.ac.uk/~history/Posters2/Tartaglia.html
Niccolo Fontana Tartaglia Niccolo Fontana Tartaglia. Niccolo Fontana , cunoscut sub numele deTartaglia sa nascut in Brescia, republica Venetiei (astazi Italia http://www.liis.ro/html/pages/MateWeb/47.htm
Extractions: Niccolo Fontana Tartaglia Niccolo Fontana , cunoscut sub numele de Tartaglia s-a nascut in Brescia, republica Venetiei (astazi Italia) in anul 1499, fiind fiul unui modest factor postal. A fost la un pas de moarte ca adolescent, cand, in 1512 armata franceza a cucerit orasul sau natal, pe care l-au supus terorii. In mijlocul acelui masacru ingrozitor, baietelul de numai 12 ani a capatat o rana faciala provocata de o lovitura de sabie care i-a taiat falca si cerul gurii , lasandu-l prada mortii. Dar grija delicata a mamei sale i-a asigurat supravietuirea, iar in viata sa de adult a cautat sa-si acopere cicatricile, putand sa vorbeasca cu dificultate. De aici ii provin numele Tartaglia si respectiv porecla ' balbaitul '. In privinta cunostintelor sale de matematica de remarcat este faptul ca Tartaglia a fost un autodidact, care, posedand o extraordinara abilitate, a reusit sa-si castige locul de profesor la Verona si Venetia. Pe langa activitatea didactica prestata in aceste doua orase italiene, Tartaglia si-a acumulat gradat prestigiul participand cu succes la un numar larg de dezbateri. Prima persoana care a reusit sa rezolve ecuatia de gradul trei folosind o metoda algebrica este del Ferro , dar el nu a dezvaluit nimanui realizarea sa.
Niccolo Fontana Known As Tartaglia Niccolo Fontana known as Tartaglia, was born in Brescia in 1499, theson of a humble mail rider. He was nearly killed as a teenager http://www.culver.org/academics/mathematics/Faculty/haynest/AlgII/jigsaw/tartagl
Extractions: Niccolo Fontana known as Tartaglia, was born in Brescia in 1499, the son of a humble mail rider. He was nearly killed as a teenager, when in 1512 the French captured his home town and put it to the sword. Amidst the general slaughter, the twelve year old boy was dealt horrific facial sabre wounds that cut his jaw and palate and he was left for dead. His mother's tender care ensured that the youngster did survive, but in later life Niccolo always wore a beard to camouflage his disfiguring scars and he could only speak with difficulty, hence his nickname Tartaglia, or stammerer. Tartaglia was self taught in mathematics but, having an extraordinary ability, was able to earn his living teaching at Verona and Venice. As a lowly mathematics teacher in Venice, Tartaglia gradually acquired a reputation as a promising mathematician by participating successfully in a large number of debates. One book that contains information about Tartaglia is Mechanics in Sixteenth-Century Italy: Selections from Tartaglia, Benedetti, Guido Ubaldo, and Galielo.l More Books: S Drake and I E Drabkin
Dict Mesure De Tartaglia Translate this page Dictionnaire de mathématiques récréatives. tartaglia niccolo fontana,dit Nicholas (1500-1557). ° Mesure de Tartaglia. Récréation http://www.recreomath.qc.ca/dict_tartaglia_m.htm
Extractions: Dictionnaire de mathématiques récréatives Tartaglia Niccolo Fontana, dit Nicholas (1500-1557) Mesure de Tartaglia. Récréation proposée par le mathématicien italien Tartaglia : Trois hommes ont volé à un gentilhomme un vase contenant 24 onces de baume. Dans leur fuite, ils rencontrent un commerçant de qui ils achètent trois vases vides qui peuvent recueillir 5, 11 et 13 onces. De quelle façon, les trois hommes peuvent-ils partager le précieux liquide en trois portions égales ? Tartaglia fut le premier à proposer des récréations de transvasement et de mesure de liquide. Ces problèmes appartiennent à la classe des récréations topologiques Charles-É. Jean, 1996-2001. Tous droits réservés. Index : T
Dict Triangle De Tartaglia Translate this page Dictionnaire de mathématiques récréatives. tartaglia niccolo fontana,dit Nicholas (1500-1557). ° Triangle de Tartaglia. Autre http://www.recreomath.qc.ca/dict_tartaglia_t.htm
Extractions: Dictionnaire de mathématiques récréatives Tartaglia Niccolo Fontana, dit Nicholas (1500-1557) Triangle de Tartaglia. Autre forme du triangle de Pascal , qu'on retrouve dans les ouvrages de Tartaglia. Le triangle de Tartaglia permet de trouver la solution du problème concernant le triangle cabalistique Charles-É. Jean, 1996-2001. Tous droits réservés. Index : T
Einige Der Bedeutenden Mathematiker Translate this page Taylor Brook, 1685-1731. Tarski Alfred, 1901-1983. tartaglia niccolo fontana, 1500-1557.Thales von Milet, 624-547 v.Chr. Tschebychev Dafnuti Lwowitsch, 1821-1894. http://www.zahlenjagd.at/mathematiker.html
Extractions: Einige der bedeutenden Mathematiker Abel Niels Hendrik Appolonius von Perga ~230 v.Chr. Archimedes von Syrakus 287-212 v.Chr. Babbage Charles Banach Stefan Bayes Thomas Bernoulli Daniel Bernoulli Jakob Bernoulli Johann Bernoulli Nicolaus Bessel Friedrich Wilhelm Bieberbach Ludwig Birkhoff Georg David Bolyai János Bolzano Bernhard Boole George Borel Emile Briggs Henry Brouwer L.E.J. Cantor Georg Ferdinand Carroll Lewis Cassini Giovanni Domenico Cardano Girolamo Cauchy Augustin Louis Cayley Arthur Ceulen, Ludolph van Chomsky Noel Chwarismi Muhammed Ibn Musa Al Church Alonzo Cohen Paul Joseph Conway John Horton Courant Richard D'Alembert Jean Le Rond De Morgan Augustus Dedekind Julius Wilhelm Richard Descartes René Dieudonné Jean Diophantos von Alexandria ~250 v. Chr. Dirac Paul Adrien Maurice Dirichlet Peter Gustav Lejeune Eratosthenes von Kyrene 276-194 v.Chr. Euklid von Alexandria ~300 v.Chr. Euler Leonhard Fatou Pierre Fermat Pierre de Fischer Ronald A Sir Fourier Jean-Baptiste-Joseph Fraenkel Adolf Frege Gottlob Frobenius Ferdinand Georg Galois Evariste Galton Francis Sir Gauß Carl Friedrich Germain Marie-Sophie Gödel Kurt Goldbach Christian Hadamard Jacques Hamilton William Rowan Hausdorff Felix Hermite Charles Heawood Percy Heron von Alexandrien ~60 n.Chr.
Niccolo Fontana (Tartaglia) niccolo fontana (tartaglia) 14991557 niccolo fontana was nearly killed as ateenager in 1512 when the French captured his home town and torched it. http://www.stetson.edu/~efriedma/periodictable/html/Ta.html
Extractions: Niccolo Fontana was nearly killed as a teenager in 1512 when the French captured his home town and torched it. Amidst the slaughter, the 12 year-old boy was dealt horrific facial sabre wounds that cut his jaw and palate and he was left for dead. He recovered, but in later life Niccolo always wore a beard to camouflage his disfiguring scars and he could only speak with difficulty, hence his nickname Tartaglia, or "stammerer". Tartaglia was self taught in mathematics but, having an extraordinary ability, was able to earn his living teaching at Verona and Venice. As a lowly mathematics teacher in Venice, Tartaglia gradually acquired a reputation as a promising mathematician by participating successfully in a large number of debates. The first person known to have solved cubic equations algebraically was del Ferro but he told nobody of his achievement. On his deathbed, however, del Ferro passed on the secret to his student Fior. Fior began to boast that he was able to solve cubics and a challenge between him and Tartaglia was arranged in 1535. Tartaglia discovered how to solve all cubics, whereas Fior had only been taught to solve some, so Tartaglia won easily. Cardano was greatly intrigued when he learned of the contest and immediately set to work on trying to discover Tartaglia's method for himself, but was unsuccessful. Cardano eventually tricked Tartaglia into revealing his method. He agreed to tell Cardano his method, if Cardano would swear never to reveal it and furthermore, to only ever write it down in code so that on his death, nobody would discover the secret from his papers.
Mathématique 5e Secondaire - Grands Mathématiciens - Tartaglia niccolo fontana (tartaglia). fontana, niccolo (15001557), mathématicien italien connu sous le surnom de tartaglia, il http://www.csaffluents.qc.ca/wjbm/matieres/mat514/pages/histoire/tartagli.htm
Tartaglia niccolo fontana tartaglia. Born 1499 in Brescia, Republic of Venice (now Italy) http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Tartaglia.html
Extractions: Niccolo Fontana known as Tartaglia, was born in Brescia in 1499, the son of a humble mail rider. He was nearly killed as a teenager, when in 1512 the French captured his home town and put it to the sword. Amidst the general slaughter, the twelve year old boy was dealt horrific facial sabre wounds that cut his jaw and palate and he was left for dead. His mother's tender care ensured that the youngster did survive, but in later life Niccolo always wore a beard to camouflage his disfiguring scars and he could only speak with difficulty, hence his nickname Tartaglia, or stammerer. Tartaglia was self taught in mathematics but, having an extraordinary ability, was able to earn his living teaching at Verona and Venice. As a lowly mathematics teacher in Venice, Tartaglia gradually acquired a reputation as a promising mathematician by participating successfully in a large number of debates. The first person known to have solved cubic equations algebraically was del Ferro but he told nobody of his achievement. On his deathbed, however, del
Tartaglia tartaglia's proper name was niccolo fontana although he is alwaysknown by his nickname. When the French sacked Brescia in 1512 http://library.wolfram.com/examples/quintic/people/Tartaglia.html
Extractions: Examples Solving the Quintic Tartaglia was famed for his algebraic solution of cubic equations which was published in Cardan's Ars Magna. Tartaglia's proper name was Niccolo Fontana although he is always known by his nickname. When the French sacked Brescia in 1512 the soldiers killed Tartaglia's father and left him for dead with a sabre wound that cut his jaw and palate. The nickname Tartaglia means the 'stammerer' and one can understand why he stammered. Tartaglia was self taught in mathematics but having an extraordinary ability was able to earn his living teaching at Verona and Venice. The first person known to have solved cubic equations algebraically was del Ferro. On his deathbed del Ferro passed on the secret to his (rather poor) student Fior. A competition to solve cubic equation was arranged between Fior and Tartaglia. Tartaglia, by winning the competition in 1535, is famed as the discoverer of a formula to solve cubic equations. Because negative numbers were not used there was more than one type of cubic equation and Tartaglia could solve all types, Fior only one type. Tartaglia confided his solution to Cardan on condition that it not be published. The method was, however, published by Cardan in Ars Magna in 1545. Tartaglia wrote Nova Scientia (1537) on the application of mathematics to artillery fire. He described new ballistic methods and instruments, including the first firing tables.
A Short History 1535 niccolo fontana (tartaglia) (1500?1557) wins a mathematical contestby solving many different cubics, and gives his method to Cardan. http://library.wolfram.com/examples/quintic/timeline.html
Extractions: Girolamo Cardan (1501-1576) gives the complete solution of cubics in his book, The Great Art, or the Rules of Algebra . Complex numbers had been rejected for quadratics as absurd, but now they are needed in Cardan's formula to express real solutions. The Great Art also includes the solution of the quartic equation by Ludovico Ferrari (1522-1565), but it is played down because it was believed to be absurd to take a quantity to the fourth power, given that there are only three dimensions.
References For Tartaglia References for the biography of niccolo fontana tartaglia References for niccolo fontana tartaglia. Biography in Dictionary of Scientific Biography (New York 19701990). http://www-groups.dcs.st-and.ac.uk/~history/References/Tartaglia.html
Extractions: S Drake and I E Drabkin, Mechanics in Sixteenth- Century Italy: Selections from Tartaglia, Benedetti, Guido Ubaldo, and Galileo G B Gabrieli, Nicolo Tartaglia : invenzioni, disfide e sfortune (Siena, 1986). M Miller, Tartaglia, in H Wussing and W Arnold, Biographien bedeutender Mathematiker (Berlin, 1983). Articles: M Cerasoli, Two matrices constructed in the manner of Tartaglia's triangle (Italian), Archimede S S Demidov, Gerolamo Cardano and Niccolo Tartaglia (Bulgarian), Fiz.-Mat. Spis. Bulgar. Akad. Nauk. A Masotti, N Tartaglia, Storia di Brescia II (Brescia, 1963). A Masotti, Sui "Cartelli di matematica disfida" scambiati fra Lodovico Ferrari e Niccolo Tartaglia, Ist. Lombardo Accad. Sci. Lett. Rend. A A Masotti, Su alcuni possibili autografi di Niccolo Tartaglia, Ist. Lombardo Accad. Sci. Lett. Rend. A M Montagnana, Nicolo Tartaglia quattro secoli dopo la sua morte, Archimede Period. Mat.
Extractions: 4.3 Niccolo Fontana - Tartaglia (1500 - 1557) Otca stratil keï mal es rokov. Roku 1511 keï francúzski vojaci plienili jeho rodnú Bresciu, spolu s matkou h¾adali úkryt v kostole. Katolícki vojaci sa vak nezastavili ani pred plienením katolíckeho kostola a vradili eny aj deti, ktoré v kostole h¾adali útoèisko. Malý Niccolo utàil viaceré seèné rany meèom, z ktorých jedna mu rozala ústa a podnebie ústnej dutiny. Masaker síce preil, ale so zle zrastenými ústami vedel len ako hovori a koktal. Vtedy sa naò prilepila prezývka Tartaglia (tal. koktavý), ktorá ho sprevádzala po celý ivot a v knihách z dejín matematiky sa väèinou uvádza pod touto prezývkou. Ako trnásroènému sa mu dostalo 15 dní kolského vzdelania . Na takéto obdobie dokázala jeho matka zaplati kolné. V abecede sa dostali po písmeno k. Zvyok sa nauèil sám. Bol usilovný, nauèil sa po latinsky a ako 23 roèný si vo Verone zarábal vyuèovaním matematiky. Rieil matematické problémy, s ktorými sa na neho obracali obchodníci, stavitelia, delostrelci a pod.
Extractions: 4.4 Girolamo Cardano (1501 - 1576) Poèiatky jeho kariéry neboli ¾ahké. Roku 1534 dosiahol, e ho v Miláne zamestnali ako lekára mestského chudobinca. Jeden jeho priate¾ ho doporuèil aj do koly pre chudobných, kde vyuèoval matematiku, astronómiu a zemepis. V tomto roku napísal pojednanie o Euklidových Základoch, Ptolemaiovej Geografii a o jednej geometrickej práci anglického scholastika Sacrobosca (1200 - 1256). Roku 1536 prijal do svojho domu za pomocníka trnásroèného Ludovica Ferrariho , ktorý sa postupne stal jeho iakom a spolupracovníkom, a neskôr to dotiahol a na profesora matematiky Milánskej univerzity. Roku Cardano dokonèil svoju prácu Praktická aritmetika a jednoduché merania . Vtedy sa dopoèul, e Scipione del Ferro, profesor matematiky na univerzite v Bologni, a Niccolo Fontana, poètár z Brescie, objavili postup na rieenie rovnice tretieho stupòa. Ve¾mi túil uvies vo svojej knihe tento výsledok, lebo jeho Praktická aritmetika bola kritikou Summy Luca Pacoliho, ktorý tvrdil, e rieenie rovníc tretieho stupòa je nemoné. Avak Cardano sám nájs rieenie nedokázal, a Fontana nebol ochotný svoje tajomstvo vyzradi. Cardanova kniha preto vyla bez tohto výsledku v roku
A Quotation By Tartaglia A quotation by niccolo fontana tartaglia. The poem in which he revealed the secret of solving the cubic to Cardan http://www-history.mcs.st-and.ac.uk/history/Quotations/Tartaglia.html
Tartaglia Translate this page tartaglia (niccolo fontana, dit) (Brescia v. 1499 - Venise 1557) Mathématicienitalien Le tournoi mathématique ou la querelle cubique http://www.cssh.qc.ca/projets/carnetsma/mathematiques_renaissance/tartaglia1.htm
Tartaglia Et Cardan Translate this page On raconte que le père de niccolo (fontana) avait engagé après la mort de Monsieurfontana-) alors qu Autodidacte, tartaglia s'intéressa non seulement à l http://math93.free.fr/Tartaglia-Cardan.htm
Extractions: et Cardan (Pavie, 1501-Rome, 1576) Home Les mathématiciens MATHÉ MATICIENS ITALIENS DU 16e SIÈCLE Les savants italiens du 16° siècle se distinguèrent surtout en algèbre élémentaire. Tartaglia. Nicolo Fontana était surnommé Tartaglia (le bègue) parce que, gravement blessé par l'épée d'un cavalier français, entré dans la grande église de Brescia le 19 février 1512 dans laquelle il se réfugiait avec sa mère, il lui en restait des difficultés d'élocution. (Les troupes françaises étaient menées par le terrible Gaston de Foix, surnommé "foudre d'Italie".) Niccolo qui avait alors 12 ans fut retrouvé la mâchoire fracassée. Aidé seulement par sa mère, veuve depuis 6 ans et trop pauvre pour faire appel à un médecin, il mit très longtemps avant de retrouver la parole. On raconte que le père de Niccolo (Fontana) avait engagé un professeur pour instruire son fils de 6 ans et que celui-ci arrêta les cours (-après la mort de Monsieur Fontana-) alors qu'il ne lui avait enseigné qu'un tiers de l'alphabet (de A à I). Il poursuivit seul son apprentissage. "Tout ce que je sais, je l'ai appris en travaillant sur les œuvres d'hommes défunts"
