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         Tartaglia Niccolo Fontana:     more detail
  1. Italian Engineers: Guglielmo Marconi, Niccolò Fontana Tartaglia, Antonio Meucci, Federico Faggin, Tommaso Francini, Giotto Bizzarrini
  2. Ballistics Experts: Isaac Newton, Leonardo Da Vinci, Leonhard Euler, Galileo Galilei, Niccolò Fontana Tartaglia, Ernst Mach, Frederick Abel
  3. 16th-Century Mathematicians: Johannes Kepler, John Napier, Niccolò Fontana Tartaglia, Gerolamo Cardano, Luca Pacioli, Lodovico Ferrari
  4. 15th-Century Births: Niccolò Fontana Tartaglia, Pedro de Valdivia, William Caxton, Lambert Simnel, Veit Stoss, Caspar Schwenckfeld
  5. Italian Military Engineers: Leonardo Da Vinci, Niccolò Fontana Tartaglia, Vitruvius, Enea Bossi, Sr., Girolamo Maggi, Taccola
  6. 1557 Deaths: Niccolò Fontana Tartaglia, Anne of Cleves, Jacques Cartier, Mikael Agricola, William Cavendish, Albert Alcibiades
  7. Italian Mathematicians: Galileo Galilei, Maria Gaetana Agnesi, Fibonacci, Niccolò Fontana Tartaglia, Gerolamo Cardano, Joseph Louis Lagrange

61. Niccolo Fontana Tartaglia Definition Im Mathe Lexikon
Translate this page Dieser Artikel basiert auf dem Artikel niccolo fontana tartaglia aus der freien Definition, Erklärung, Bedeutung von niccolo fontana tartaglia im
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62. Erase Una Vez Un Cuento: Aritmética Y Geometría
Translate this page de la biblioteca me decidí a visitarlo –y tendió la mano derecha, presentándose -mellamo niccolo fontana tartaglia, y soy matemático de profesión.
http://www.divulgamat.net/weborriak/Cuentos/AritGeom.asp
Textos on-line Exposiciones virtuales Recursos en Internet
-Claro, claro. Entonces intervino Tartaglia:
Quiénes somos
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63. Grundoperationen
Translate this page niccolo fontana tartaglia 1499 -1557.
http://www-hm.ma.tum.de/archiv/in1/ws0102/links/Historie/Tartaglia.html
Niccolo Fontana Tartaglia 1499 -1557

64. Milestones: Section 2. Pre-1600
(tartaglia is better known for discovering a method to solve cubic equations) niccolo fontana tartaglia (1499-1557), Italy 245. New 04/10/03
http://www.math.yorku.ca/SCS/Gallery/milestone/sec2.html
Milestones in the History of
Thematic Cartography,
Statistical Graphics,
and Data Visualization
Pre-1600 Ptolemy 1842 map Mercator portrait Catalan Atlas Up: Index Introduction References Related Pre-1600
Pre-1600: Early maps and diagrams
History of Cartography Project
Map History Gateway
The earliest seeds of visualization arose in geometric diagrams, in tables of the positions of stars and other celestial bodies, and in the making of maps to aid in navigation and exploration. We list only a few of these here to provide some early context against which later developments can be viewed. In the 16th century, techniques and instruments for precise observation and measurement of physical quantities were well-developed. As well, we see initial ideas for capturing images directly, and recording mathematical functions in tables. These early steps comprise the beginnings of the husbandry of visualization.
c. 6200 BC
The oldest known map? (There are several claimants for this honor.)- unknown, Museum at Konya, Turkey.
IMG Konya town map (280 x 160; 7K)

65. A Look To The Past
niccolo fontana (tartaglia) (15001557) claimed to be able to solve cubic equationsof the form x3+ mx2 = n. However, he apparently did not know how to
http://ued.uniandes.edu.co/servidor/em/recinf/tg18/Vizmanos/Vizmanos-2.html
Will elementary algebra disappear with the use of new graphing calculators?.
A look to the past
What do we understand elementary algebra to be? Elementary algebra is the language with which we communicate the majority of mathematics. Thanks to algebra we can work with concepts at an abstract level and then apply them. Elementary algebra begins as a generalization of arithmetic and then focuses on its own structure and greater logical coherence. From there comes the importance of the various uses of algebraic symbols. When we write A + B, we can be indicating the sum of two natural numbers, the sum of two algebraic expressions, or even the sum of two matrices. Thus there is, at first, representations and symbolism, and later the development of algorithms and procedures to work formally with algebraic expressions. But what we today understand to be algebra has been the fruit of the efforts of many generations that have been contributing their grains of sand in constructing this magnificent building. It seems that the Egyptians already knew methods for solving first degree equations. In the

66. 1. Niccolò Tartaglia, La Nova Scientia (first Edition, 1537; This
Niccolò tartaglia, La nova scientia (first edition, 1537; this edition, Venice, of tartaglia ( stammerer ) to replace his original surname fontana.
http://www.mhs.ox.ac.uk/geometry/cat1.htm
La nova scientia (first edition, 1537; this edition, Venice, 1558). Bound with his Quesiti et inventioni diverse (first edition, 1546; this edition, Venice, 1554). Fig. Fig. If Tartaglia's very identity was marked by war, he in turn reshaped the character of military discourse by identifying a 'new science' of artillery and casting it as a mathematical discipline. As a mathematician he was first directed to military questions in 1531 or 1532 in Verona when he was consulted on the maximum range of cannon. Following up this initial query he subsequently published what was proudly announced as his Nova scientia of 1537. Tartaglia offered a general account of the fall of heavy bodies and a specific consideration of the path of artillery shot. His novel mix of natural philosophy and mathematics heralded the wider significance that falling bodies would soon have in European intellectual culture through the work of Galileo. But Tartaglia also showed how to measure the elevation of an artillery piece using a gunner's quadrant, and provided a discussion of surveying for range-finding. After La nova scientia , Tartaglia returned to military matters in the Quesiti et inventioni diverse (1546), further discussing topics such as the shape of a projectile's trajectory. Although he qualified the theoretical accuracy of his depiction, for practical purposes Tartaglia consistently described the path of the shot in three parts: an initial straight line propelled by the force of the gunpowder; a curving section as gravity began to work its effect; and finally a straight line again as the shot fell perpendicularly to the ground. A measure of Tartaglia's importance for the study of artillery is that this account was still being paraphrased and parroted into the later 17th century. But he did not provide later authors with all they could have wished. In both the

67. Encyclopædia Britannica
Tarsus (Tur.) tarsus (anat.) tart (food) tartaglia, Niccolò fontana (It. math.)Tartalea, Niccolò fontana (It. math.) see tartaglia, Niccolò fontana
http://www.britannica.com/eb/index?search=Tarim River

68. MSN Encarta - Tartaglia
tartaglia, Niccolò fontana (c. 15001557), Italian mathematician, born in Brescia.fontana was given the Find more about tartaglia, Niccolò fontana from
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69. MSN Encarta - Search Results - Tartaglia
tartaglia, Niccolò fontana (c. 15001557), Italian mathematician, born in Brescia.fontana was given the nickname “tartaglia”, meaning “stammerer”,
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70. Niccolò Fontana (Tartaglia) (1499?-1557) - Mathematics And The
Niccolò fontana (tartaglia) (1499?1557) - Mathematics and the Liberal Arts.To expand search, see Italy in the 1500s. The Mathematics and the Liberal Arts
http://math.truman.edu/~thammond/history/Tartaglia.html
Niccolò Fontana (Tartaglia) (1499?-1557) - Mathematics and the Liberal Arts
To expand search, see Italy in the 1500s The Mathematics and the Liberal Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and in the connections between mathematics and other disciplines. The notes in these pages are intended as much to evoke ideas as to indicate what the books and articles are about. They are not intended as reviews. However, some items have been reviewed in Mathematical Reviews , published by The American Mathematical Society. When the mathematical review (MR) number and reviewer are known to the author of these pages, they are given as part of the bibliographic citation. Subscribing institutions can access the more recent MR reviews online through MathSciNet Pressman, Ian and Singmaster, David. The jealous husbands and the missionaries and cannibals. Math. Gaz. (1989), no. 464, 7381. (Reviewer: E. Keith Lloyd.) SC: 01A99 (05A99), MR: 92b:01086.

71. Comments On Niccolò Fontana (Tartaglia) (1499?-1557)
Comments on Niccolò fontana (tartaglia) (1499?1557). Comments
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72. Tartaglia, Adopted Name Of Niccolò Fontana
tartaglia, adopted name of Niccolò fontana (c. 14991557) tartaglia was bornin Brescia, Lombardy. He was called tartaglia ( stammerer ) because of a
http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/T/Tartaglia/1.ht
Tartaglia (c. 1499-1557)
Italian Renaissance mathematician and physicist who specialized in military problems, topography, and mechanical physics.
Tartaglia was born in Brescia, Lombardy. He was called Tartaglia ('stammerer') because of a speech defect resulting from a wound caused by French soldiers sacking the town when he was 12. Although self-educated, he taught school in Verona 1516-33. He then moved to Venice, where he eventually became professor of mathematics.
Tartaglia solved the problems of calculating the volume of a tetrahedron from the length of its sides, and of inscribing within a triangle three circles tangent to one another.
When Tartaglia translated Euclid's Elements into Italian 1543, it was the first translation of Euclid into a contemporary European language.

73. Niccolò Tartaglia
Niccolò tartaglia. fontana, Niccolò (The Hutchinson Dictionary of ScientificBiography). tartaglia (c. 14991557) (The Hutchinson Dictionary of Scientific
http://www.infoplease.com/ce6/people/A0847894.html
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74. Niccolò Tartaglia
Niccolò tartaglia. Niccolò tartaglia AKA Niccolò fontana tartaglia. Born 1499Birthplace Brescia, Italy Died 13Dec-1557 Location of death Venice, Italy
http://www.nndb.com/people/440/000098146/
This is a beta version of NNDB Search: All Names Living people Dead people Band Names Book Titles Movie Titles Full Text for AKA Born:
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Brescia, Italy
Died: 13-Dec-1557
Location of death: Venice, Italy
Cause of death: unspecified
Gender: Male
Religion: Roman Catholic
Ethnicity: White
Occupation: Mathematician Level of fame: Niche
Executive summary: Inaugurated science of Ballistics Italian mathematician, born at Brescia. His childhood was passed in dire poverty. During the sack of Brescia in 1512, he was horribly mutilated by some French soldiers. From these injuries he slowly recovered, but he long continued to stammer in his speech, whence the nickname, adopted by himself, of "Tartaglia." Save for the barest rudiments of reading and writing, he tells us that he had no master; yet we find him at Verona in 1521 an esteemed teacher of mathematics. In 1534 he went to Venice. In 1548 Tartaglia accepted a situation as professor of Euclid at Brescia, but returned to Venice at the end of eighteen months. He died at Venice in 1559. Tartaglia's first printed work, entitled

75. Biografia De Tartaglia [Niccolò Fontana]
Translate this page tartaglia Niccolò fontana. (Brescia, actual Italia, 1499-Venecia, 1557) Matemáticoitaliano. Durante la ocupación francesa de Brescia su padre fue
http://www.biografiasyvidas.com/biografia/t/tartaglia.htm
Inicio Buscador Las figuras clave de la historia Reportajes Los protagonistas de la actualidad (Brescia, actual Italia, 1499-Venecia, 1557) Matemático italiano. Durante la ocupación francesa de Brescia su padre fue asesinado y él mismo dado por muerto a causa de sus graves heridas, una de las cuales, un golpe de sable en la mandíbula, le provocaría un defecto en el habla que lo acompañaría toda su vida y le valdría su sobrenombre (tartaglia, esto es, tartamudo). De origen muy humilde, su familia no pudo proporcionarle ningún tipo de educación, de modo que el joven Tartaglia tuvo que aprenderlo todo por su cuenta. Ya adulto, se ganó la vida como profesor itinerante y a través de su participación en concursos matemáticos. En uno de ellos se planteó la resolución de diversas ecuaciones de la forma x³ + px = q; Tartaglia consiguió averiguar la solución general y obtuvo el premio. Más adelante reveló su método a Gerolamo Cardano, bajo la firme promesa de mantener el secreto, pero éste acabó publicándolo en su Ars magna de 1545. Inicio Buscador Recomendar sitio

76. Complex Number Numbers Field Real Matrix Theory Roots Imaginary
fourth degree polynomials were discovered by Italian mathematicians (seeNiccolo fontana tartagliaNiccolo fontana tartaglia ( 1499 or 1500 December 13,
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The complex numbers are an extension of the real number s, in which all non-constant polynomial s have roots . The complex numbers contain a number , the imaginary unit , with , i.e., is a square root of . Every complex number can be represented in the form , where and are real numbers called the real part and the imaginary part of the complex number respectively. The sum and product of two complex numbers are: Complex numbers were first introduced in connection with explicit formulas for the roots of cubic polynomials. In mathematics, the term "complex" when used as an adjective means that the field of complex numbers is the underlying number field considered. For example complex matrix complex polynomial and complex Lie algebra
1 History of complex numbers
The earliest fleeting reference to square roots of negative numbers occurred in the work of the Greek mathematician and inventor Heron of Alexandria in the 1st century AD, when he considered the volume of an impossible

77. MSN Encarta - Tartaglia, Niccolò Fontana
Translate this page tartaglia, Niccolò fontana (v. 1500-1557), mathématicien italien, auteur reconnude la résolution Plus de résultats pour tartaglia, Niccolò fontana
http://fr.encarta.msn.com/encyclopedia_761580362/Tartaglia_Niccolò_Fontana.ht
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    Article accessible sur abonnement MSN Encarta Premium : Acc©dez   30 000 articles encyclop©diques avec plus de 12 000 illustrations, un atlas mondial interactif, un guide du Web et une palette compl¨te de ressources et d'outils ©ducatifs. 34,99 € par an (service d’acc¨s   Internet non compris). En savoir plus. Cet article n'est accessible que si vous ªtes abonn©   MSN Encarta Premium. Dans ce cas, connectez-vous en cliquant sur le lien Aller sur MSN Encarta Premium (ci-dessus). Tartaglia, Niccol² Fontana Tartaglia, Niccol² Fontana (v. 1500-1557), math©maticien italien, auteur reconnu de la r©solution d'©quations du 3 e  degr©. N©   Brescia, Fontana re§ut... Encarta vous int©resse ? Abonnez-vous d¨s maintenant et b©n©ficiez de :
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78. Tartaglia Nicolo
Translate this page tartaglia (1499-1557). Niccolò fontana, dit tartaglia, est né à Brescia. Voici la méthode de tartaglia-Cardan. On divise tous les termes par a,
http://www.lycee-international.com/travaux/HISTMATH/tartaglia/
Liste de Mathématiciens Al Khwarizmi Apollonius de Perge Archimède Argand Jean Bezout Etienne Bombelli Rafaele Boole George Cardano Girolamo Cauchy Augustin Chasles Michel De Moivre Abraham De Morgan Augustus Del Ferro Scipione Descartes René Eratosthene Euclide Fermat Pierre Ferrari Ludovico Fibonacci Leonardo Galois Evariste Gauss Carl Germain Sophie Huygens Christiaan Leibniz Gottfried Pascal Blaise Peano Guiseppe Pythagore Tartaglia Nicolo Viete François Zenon d Elée Tartaglia Nicolo
TARTAGLIA (1499-1557) x px q et x³ q px . (on ne travaillait autrefois qu’avec des nombres positifs) x px q x px² q x px q Ars magna x x Formule de Cardan Il faut utiliser les formules de Cardan (Gerolamo Cardano 1501-1576) qu'il publie dans son "Ars magna" "le grand art"
Ensuite, on pose , et on obtient
et
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79. Niccolò Tartaglia
Translate this page Encyclopedia Niccolò tartaglia. 13 dicembre 1577), è il soprannome e lopseudonimo utilizzato da Niccolò fontana, eclettico matematico italiano,
http://encyclopedie-it.snyke.com/articles/tartaglia.html
Niccol² Tartaglia
Niccol² Tartaglia Brescia ca - Venezia 13 dicembre ), ¨ il soprannome e lo pseudonimo utilizzato da Niccol² Fontana , eclettico matematico italiano, il cui nome ¨ legato al noto Triangolo
Biografia
Di umilissime origini (era figlio di un Michelotto "cavallaro", forse postino), divenne balbuziente per una profonda ferita infertagli da bambino da un soldato francese durante il sacco di Brescia ( ), che gli procur² danni permanenti alla lingua e al palato. Dato per morto, sopravvisse grazie alle cure della madre, ma gli rimase una evidente difficolt  ad articolare le parole. Per questo ebbe il soprannome "Tartaglia" che accett² e lui stesso utilizz² tutta la vita per firmare le sue opere. Non pot© frequentare alcuna scuola da giovane ed era molto fiero di essere autodidatta. Nei suoi scritti, si vanta infatti di essere andato a scuola di scrittura solo per 15 giorni, all'et  di 14 anni. Grazie alla sua abilit , pot© comunque guadagnarsi da vivere a Verona prima e poi a Venezia , insegnando matematica elementare; e fu a Venezia che con il tempo si fece una reputazione di matematico promettente, partecipando con successo a numerose polemiche. Il suo nome ¨ legato alla formula per la soluzione della equazione cubica o equazione di terzo grado. In realt  la formula era stata trovata, ma non pubblicata, da

80. Tartaglia
Translate this page tartaglia y Cardano. Niccolò fontana, (Brescia, 1499-Venecia, 1557). Matemáticoitaliano. Recibió el sobrenombre de tartaglia (tartamudo) por un defecto en
http://suanzes.iespana.es/suanzes/tartaglia.htm
Tartaglia y Cardano Niccolò Fontana (Brescia, 1499-Venecia, 1557). Matemático italiano. Recibió el sobrenombre de Tartaglia (tartamudo) por un defecto en el habla a consecuencia de una herida durante el saqueo de su ciudad natal por las tropas de Gastón de Foix, en 1512. Él mismo cuenta que durante la toma de Brescia , en 1522, los franceses arrasaron la ciudad. S u madre, ya viuda, se refugió con sus hijos en la Catedral , donde un soldado asestó al muchacho de 12 años un golpe de espada en la mandíbula. Como consecuencia de ello quedó tartamudo, por lo que recibió de sus compañeros el apodo de Tartaglia denominación que él adoptó como nombre de autor, sin ningún complejo. Fue autodidacta en las disciplinas de matemáticas y científico-naturales. Gracias al empeño y tenacidad en los estudios pronto llegó lejos y muy joven se abrió camino en Brescia y Verona como profesor de Matemáticas y calculista público . En calidad de esto último efectuaba cálculos para arquitectos, ingenieros, artilleros, comerciante, astrólogos, etc. Mas tarde ejerció su profesión en Venecia, Milán y Piacenza. También sobresalió como traductor. A los 43 años publicó una traducción latina de Arquímedes

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