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Topic: Niccolo Tartaglia

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	Niccolo Fontana Tartaglia
		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.
		Tartaglia is also known for giving an expression (Tartaglia's formula) for the volume of a tetrahedron (incl.
	www.ebroadcast.com.au /lookup/encyclopedia/ta/Tartaglia's_formula.html (261 words)

	The Italian mathematician,
		When the French sacked Brescia in 1512, his mother sought refuge for her and young Niccolo in the church, but the soldiers also invaded the church, and the 12 year old boy was severely wounded by a sword cut: his jawbone was split, causing permanent damage.
		Thereafter, he was called "Tartaglia" - Italian for "stammer" and later wore a long beard to hide the scars.
		Tartaglia never made much money from his skills but he regarded his knowledge as his personal property.
	hem.passagen.se /ceem/niccolo.htm (310 words)

	Niccolo Fontana (Tartaglia) (Site not responding. Last check: 2007-10-13)
		Niccolo Fontana was nearly killed as a teenager in 1512 when the French captured his home town and torched it.
		Tartaglia was self taught in mathematics but, having an extraordinary ability, was able to earn his living teaching at Verona and Venice.
		Tartaglia made no move to publish his formula, despite the fact that, by now, it had become well known that such a method existed.
	www.stetson.edu /~efriedma/periodictable/html/Ta.html (595 words)

	Niccolò Fontana Tartaglia Summary
		Tartaglia opposed the prevailing view that a projectile was subject to an initial acceleration and claimed that a violently propelled body starts to lose velocity as soon as it is detached from the propelling force.
		Tartaglia learned quickly and acquired enough skill at mathematics that he was able to obtain a position as a teacher of practical mathematics in Verona sometime between 1516 and 1518.
		Tartaglia was almost entirely a self-made man, and by sheer force of will taught himself enough that by about the age of 18 he had obtained a position as a teacher of practical mathematics in Verona.
	www.bookrags.com /Niccol%C3%B2_Fontana_Tartaglia (3295 words)

	Tartaglia
		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.
		Tartaglia, by winning the competition in 1535, is famed as the discoverer of a formula to solve cubic equations.
	library.wolfram.com /examples/quintic/people/Tartaglia.html (276 words)

	Tartaglia (Site not responding. Last check: 2007-10-13)
		Niccolo Fontana known as Tartaglia, was born in Brescia in 1499, the son of a humble mail rider.
		Tartaglia declined this opportunity, stating his intention to publish his formula in a book of his own that he was going to write at a later date.
		Cardan was delighted at Tartaglia's new approach, and, inviting him to his house, assured Tartaglia that he would arrange a meeting with d'Avalos.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Tartaglia.htm (1509 words)

	Niccolò Fontana Tartaglia Biography \| World of Scientific Discovery
		Tartaglia left the position to teach mathematics at various universities in northern Italy; he arrived in Venice, Italy, in 1534, where he remained for the rest of his life.
		Tartaglia was also responsible for the first Italian translation of Euclid's Elements as well as a paper on the numerical operations of Italian arithmetic, the life of the people, the customs of merchants, and their efforts at improving arithmetic.
		Although Tartaglia is remembered as one of the greatest mathematicians of sixteenth-century Italy, he died alone and penniless in 1557.
	www.bookrags.com /biography/niccolo-fontana-tartaglia-wsd (402 words)

	Nicolò Tartaglia
		As a result of a blow across the mouth inflicted by some French soldiers at the sack of Brescia in 1512, Nicolò stammered in his speech, thus obtaining the nickname of Tartaglia, afterwards assumed by himself.
		In 1548 Tartaglia became professor of Euclid at Brescia but returned, after eighteen months, to Venice, where he died.
		A letter of Tartaglia's is in the archives of Urbino and another letter and his will are in the archives of Venice.
	www.catholicity.com /encyclopedia/t/tartaglia,nicolo.html (383 words)

	The Galileo Project
		Tartaglia took it as a nickname, which referred to his inability to talk clearly as a result of terrible wounds to his head and jaw during the sack of Brescia in 1512.
		Tartaglia was invited to Milan in 1539; the visit led to the quarrel with Ferrari and their public exchange of mathematical challenges and responses.
		Tartaglia was not a prominent and well connected man. I find that he published a lot of his books at his own expense and without dedications.
	galileo.rice.edu /Catalog/NewFiles/tartalia.html (724 words)

	Tartaglia biography
		Niccolo Fontana, known as Tartaglia, was born in Brescia in 1499 or 1500, the son of an honest mail rider Michele Fontana who was known as 'Micheletto the Rider'.
		Tartaglia, after much persuasion, agreed to tell Cardan his method, if Cardan 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.
		Tartaglia was furious when he discovered that Cardan had disregarded his oath and his intense dislike of Cardan turned into a pathological hatred.
	www-history.mcs.st-andrews.ac.uk /Biographies/Tartaglia.html (2112 words)

	Niccolò Tartaglia
		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 1548 Tartaglia accepted a situation as professor of Euclid at Brescia, but returned to Venice at the end of eighteen months.
		Tartaglia claimed the invention of the gunner's quadrant.
	www.nndb.com /people/440/000098146 (371 words)

	[No title]
		Niccolo Tartaglia (1499-1557) claimed that he discovered the solution to the cubic equations of the form x^3 + bx^2 = d.
		Tartaglia told Gerolamo Cardano his secret, however Cardano published the work when he discovered that it had earlier been discovered by del Ferro.
		Cardano had promised not to print Tartaglia's solution, but he was able to see del Ferro's solution which had been done before Tartaglia.
	public.csusm.edu /DJBarskyWebs/330CollageOct17.html (1768 words)

	test (Site not responding. Last check: 2007-10-13)
		Tartaglia went at once, hoping to gain influence with Cardan’s sponsor the powerful governor of the Holy Roman Emperor’s army there.
		Tartaglia returned to Venice and Cardan then discovered that del Ferro had actually been the first to solve the cubic equation - even though the solution was inferior to that of Tartaglia.
		Alongside this fundamental work in equations, Tartaglia write a popular arithmetic text and was the first Italian translator and publisher of Euclid’s Elements; he also wrote and published an edition of Archimedes’; works.
	www.mathsyear2000.org /timeline/test-mathinfo.php?m=niccol-tartaglia (611 words)

	History of Algebra
		Gerolamo Cardano was writing a text on arithmetic, and persuaded Tartaglia to reveal his solution.
		Tartaglia agreed only on the condition that he did not publish the work.
		Tartaglia did not publish his work, and although Cardano did not want to break his oath, he wanted to publish the solutions.
	library.thinkquest.org /C0110248/algebra/history2.htm (654 words)

	No Title
		When the French sacked Brescia in 1512 the soldiers killed Tartaglia's father and left Tartaglia for dead with a sabre wound that cut his jaw and palate.
		Tartaglia confided his solution to Cardan on the condition that he would keep it secret.
		Feud with Niccolo Tartaglia, which was caused by the publication of the Ars magna in 1545.
	www.math.tamu.edu /~don.allen/history/renaissc/renassc.html (2580 words)

	[No title]
		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.
		Tartaglia offered a general account of the fall of heavy bodies and a specific consideration of the path of artillery shot.
		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.
	www.mhs.ox.ac.uk /geometry/cat1.htm (331 words)

	EUCLID. Niccolo TARTAGLIA translator, Solo Introduttore delle scientie mathematice... con une ampla espositione dello ...
		It is in this version by Tartaglia, with his extensive commentary, that most of the major Italian scientists, engineers, and architects of the sixteenth century learned in detail Euclidian geometry and its applications.
		The work is especially interesting for Tartaglia's appreciation of the application of mathematical and geometrical analysis to problems of mechanics.
		'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 mechanics, and indeed of all applied sciences.
	www.polybiblio.com /watbooks/2031.html (653 words)

	TARTAGLIA, Niccolo, La nova scienza 1558
		Three of Tartaglia's most famous and influential works, and containing the very rare folding plate which is known in only a few copies.
		Tartaglia investigated problems of ballistics, fortification, surveying and engineering and sought to apply mathematical analysis to physical problems, in particular momentum and inertia, free from the conceptual constrains of Aristotelianism and Scholasticism.
		In the introduction to the Quesiti Tartaglia explains that he was rushed in publication of the Nova scientia, and is therefore offering the Quesiti as a continuation.
	www.polybiblio.com /watbooks/2636.html (1389 words)

	TARTAGLIA (Site not responding. Last check: 2007-10-13)
		El Triángulo de Tartaglia es la disposición numérica formada a partir de los coeficientes de los distintos desarrollos de la potencia n-ésima de un binomio cuando n toma sucesivamente los valores 0, 1, 2, 3, etc.… Disponiendo en filas sucesivas dichos coeficientes para cada valor de n, se obtiene la siguiente configuración:
		In his General trattato di numeri et misure (1556-60) he published the triangular arrangament of the coefficient of successive powers of a binomial, known as Tartaglia’s Triangle which forms the base for this work of music.
		The Trinagle of Tartaglia results from an arrangement of the coefficients of the varions nth power developments of a binomial, when n given the sucessive rows for each value of n, the following shape is obtained:
	webs.ono.com /usr045/ferrerferran/Obras/Tartaglia.htm (253 words)

	Niccolò Fontana Tartaglia - Wikipedia, la enciclopedia libre
		Niccolo Fontana (1500 - 13 de diciembre 1577), matemático italiano apodado Tartaglia (el tartamudo) desde que de niño recibiera una herida en la toma de su ciudad natal, Brescia, por Gastón de Foix.
		Se cuenta que Tartaglia sólo aprendió la mitad del alfabeto de un tutor privado antes de que el dinero se agotara, y posteriormente tuvo que aprender el resto por su cuenta.
		El éxito de Tartaglia en el duelo llega a oídos de Gerolamo Cardano que le ruega que le comunique su fórmula, a lo que accede pero exigiéndole a Cardano jurar que no la publicará.
	es.wikipedia.org /wiki/Niccolo_Tartaglia (339 words)

	Mathematicians And Other Strange Beasts
		(Cardano gave Tartaglia full credit, though not very loudly...in those days, practitioners of mathematics got their fame by being able to solve problems no one else could, and if every Tomas, Riccardo, and Enrico could solve a cubic, Niccolo's reputation would be worthless).
		Tartaglia spent the rest of his life trying to discredit Cardano.
		Niccolo Tartaglia, who solved the cubic, failed miserably for the rest of his life (mainly because he spent it trying to discredit Cardano).
	math.bu.edu /INDIVIDUAL/jeffs/mathematicians.html (1049 words)

	Brain Teaser
		In 1535, the Italian mathematician Niccolo Tartaglia discovered a method for solving cubic equations.
		Tartaglia kept his solution a secret in order to parade his ability to solve problems that others could not solve.
		Tartaglia, like the educators of today, wanted to raise his reputation and gain a feeling of power by not fully sharing his knowledge with others who wanted to learn.
	www.phancypages.com /newsletter/ZNewsletter2826.htm (226 words)

	AllRefer.com - NiccolO Tartaglia (Mathematics, Biography) - Encyclopedia
		NiccolO Tartaglia[nEk-kOlO´ tArtA´lyA] Pronunciation Key, c.1500–1577, Italian engineer and mathematician.
		He developed a solution for cubic equations that Geronimo Cardano (with his pupil Ludovico Ferrari) completed and published in his Ars magna (1545), thereby precipitating a bitter dispute; Tartaglia published his version as Quesiti et invenzioni diverse (1546).
		He wrote also a treatise on pure and applied mathematics, General trattato di numeri et misure (6 parts, 1556–60) and made Italian translations of works of Euclid and Archimedes.
	reference.allrefer.com /encyclopedia/T/Tartagli.html (213 words)

	Cubic equation - Free net encyclopedia
		In 1530, Niccolo Tartaglia (1500-1557) received two cubic equation problems from Zuanne da Coi and announced that he could solve them.
		He was soon challenged by Fiore and this led to a famous contest between the two.
		However, Tartaglia was later persuaded by Gerolamo Cardano (1501-1576) to tell him the secret for solving cubic equations.
	www.netipedia.com /index.php/Cubic_equation (2611 words)

	Ballistics
		Tartaglia also invented the math use of parenthesis.
		The beginning of ballistics began in China where fireworks were popular things.
		O'Connor, John J and Robinson, Edmund F. "Nicolo Fontana Tartaglia." http://www.vma.bme.hu/mathhist/Mathematicians/Tartaglia.html December 1996
	www.sonic.net /~sjl/ballistics/ballistics.html (837 words)

	Niccolò Fontana (Tartaglia) (1499?-1557) - Mathematics and the Liberal Arts (Site not responding. Last check: 2007-10-13)
		Niccolò Fontana (Tartaglia) (1499?-1557) - Mathematics and the Liberal Arts
		To expand search, see Italy in the 1500s.
		The authors don't discuss this, but problems similar to the wolf-goat-cabbage problem have appeared in a variety of cultures.
	math.truman.edu /~thammond/history/Tartaglia.html (249 words)

	Sekureco kaj konfidenceco en komputila komunikado: Tartaglia (Site not responding. Last check: 2007-10-13)
		Niccolò Fontana Tartaglia naskiĝis en la Itala urbo Brescia [Breŝa] en la jaro 1499 (aŭ; 1500), sub la nomo Niccolò Fontana.
		En 1512 Francaj soldatoj pikis lian vizaĝon per sabroj kaj preskaŭ mortigis lin; ek de tiam li kapablis paroli nur kun malfacilaĵoj kaj pro tio ricevis la kromnomon Tartaglia [tartalja] (= balbutulo).
		Sub iom strangaj cirkonstancoj okazis, ke tiun formulon li ne mem publikigis, sed konfidis al sia kolego Cardano, kiu poste publikigis ĝin, menciante la originon.
	www.ais-sanmarino.org /kursoj/s1/autkon/terminoj/tartaglia.html (90 words)

	Education World® - *Math : Mathematicians : Tartaglia, Niccolo
		TOP : Math : Mathematicians : Tartaglia, Niccolo*
		Tartaglia Niccolo Fontana known as Tartaglia (1499-1557) Few European mathematicians of the 16th century had been as directly affected by warIn 1512 he received a facial wound during the sack of Brescia by the French.
		Left with a speech defect he adopted the nickname of Tartaglia ('stammerer').
	db.education-world.com /perl/browse?cat_id=10598 (73 words)

	Niccolò Tartaglia — FactMonster.com
		He developed a solution for cubic equations that Geronimo Cardano (with his pupil Ludovico Ferrari) completed and published in his
		(1545), thereby precipitating a bitter dispute; Tartaglia published his version as
		He wrote also a treatise on pure and applied mathematics,
	www.factmonster.com /ce6/people/A0847894.html (92 words)

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