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Topic: Niccolo Fontana 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)

	Wiskundigen - Tartaglia
		Niccolo Fontana die bekend was onder de naam Tartaglia, werd in 1499 geboren in de Italiaanse stad Brescia die toentertijd binnen de republiek Venetië lag.
		Cardano was daar blij mee en in maart 1539 reisde Tartaglia naar Milaan.
		Tartaglia echter was woedend en viel in eigen geschriften Cardano op venijnige en beledigende wijze aan.
	www.math4all.nl /Wiskundegeschiedenis/Wiskundigen/Tartaglia.html (2104 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 /Niccolo_Fontana_Tartaglia (3295 words)

	Niccolo Fontana Tartaglia Biography
		Niccolo Fontana Tartaglia (1499 or 1500 - December 13, 1557) was a mathematician, an engineer (designing fortifications), surveyor (of topography, seeking the best means of defense or offense) and bookkeeper from the then Republic of Venice (now Italy).
		In spite of the fact that Cardano credited his discovery, Tartaglia was extremely upset.
		Tartaglia is also known for having given an expression (Tartaglia's formula) for the volume of a tetrahedron (incl.
	www.biographybase.com /biography/Tartaglia_Niccolo_Fontana.html (394 words)

	Niccolo Fontana (Tartaglia)
		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 discovered how to solve all cubics, whereas Fior had only been taught to solve some, so Tartaglia won easily.
	www.stetson.edu /~efriedma/periodictable/html/Ta.html (595 words)

	Tartaglia, adopted name of Niccolò Fontana (Site not responding. Last check: )
		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.
		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.
		He also attempted a study of the motion of projectiles, and formulated Tartaglia's theorem: the trajectory of a projectile is a curved line everywhere, and the maximum range at any speed of its projection is obtained with a firing elevation of 45°.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/T/Tartaglia/1.html (173 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)

	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 confided his solution to Cardan on condition that it not be published.
	library.wolfram.com /examples/quintic/people/Tartaglia.html (288 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]
		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)

	Niccolo Fontana Tartaglia
		Niccolo Fontana Tartaglia (* 1499 in Brescia Italien † 14.12.
		Tartaglia kannte bereits den binomischen Lehrsatz ganze positive Exponenten behandelte Probleme der Wahrscheinlichkeitsrechnung zahlreiche Bestimmungen des spezifischen Gewichts vor und 1537 die Bahn einer abgeschossenen Kanonenkugel.
		1535 veranstalten Fior Tartaglia einen öffentlichen Wettstreit bzgl.
	www.uni-protokolle.de /Lexikon/Niccolo_Fontana_Tartaglia.html (235 words)

	Uwagi historyczne o wzorach Cardano
		Tartaglia początkowo uważał, że Fiori sam nie umie rozwiązać podanych zadań (bo w swej książce Paccioli otwarcie stwierdził, że nie ma ogólnego wzoru na rozwiązania takich równań).
		Niccolo Tartaglia w końcu, odebrawszy od Cardano przysięgę dochowania tajemnicy, zdradził mu sposób rozwiązywania równania.
		Tartaglia w 1546 wydał pracę "Questioni et inventione diverse" (Pytania i rozmaite odkrycia), a potem (1547 - 1548) wymienił z Ferrari, uczniem Cardano, broszury zatytułowane "Cartelli di matematica disfida" i spór między Tartaglią a Cardano przybrał publiczny charakter.
	ux1.mat.mfc.us.edu.pl /~pgladki/faq/node129.html (1783 words)

	Niccolo Fontana Tartaglia - Schlauweb
		Tartaglia kannte schon den binomischen Lehrsatz für ganze positive Exponenten, behandelte Probleme der Wahrscheinlichkeitsrechnung, nahm mehrere Bestimmungen des spezifischen Gewichts vor und untersuchte 1537 die Bahn einer abgeschossenen Kanonenkugel.
		1535 organisieren Fior und Tartaglia einen öffentlichen Wettstreit in Hinblick auf der Lösung 30 kubischer Gleichungen.
		Friedrich Katscher: Die kubischen Gleichungen bei Nicolo Tartaglia: die relevanten Textstellen aus seinen "Quesiti et inventioni diverse" auf deutsch übersetzt und kommentiert, Wien 2001.
	www.schlauweb.de /Tartaglia (658 words)

	Niccolo Fontana known as Tartaglia
		Niccolo Fontana known as Tartaglia, was born in Brescia in 1499, the son of a humble mail rider.
		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.
		The name Tartaglia, in fact, comes from the Italian verb ‘tartagliare’ meaning ‘to stammer’ and was the nickname given to the boy following the accident.
	www.culver.org /theacademies/Math/haynest/AlgII/jigsaw/tartaglia.htm (367 words)

	Tartaglia
		Tartaglia now knowing the method to solve the cosa and cube problems, quickly solved all thirty of Fior's problems in less than two hours.
		Cardan now wrote to Tartaglia directly, expressing his bitterness, challenging him to a debate but, at the same time, hinting that he had been discussing Tartaglia's brilliance with the governor of the emperor's army in Milan, Alfonso d'Avalos, the Marchese del Vasto, who was one of
		Cardan readily agreed to, and Tartaglia divulged his formula in a poem, to help protect the secret, should the paper fall into the wrong hands.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Tartaglia.htm (1509 words)

	Jim Frankenfield - Science Page (Site not responding. Last check: )
		Pascals triangle is known in Italy as Tartaglias Triangle.
		Italian algebraist Niccolo Fontana Tartaglia lived a century earlier than Blaise Pascal and is credited with the first general formula for solving cubic polynomials.
		Pascals (Tartaglias) Triangle is perhaps best known for providing the coefficients in a binomial epansion, but it also has many other fascinating properties.
	www.snowman-jim.org /science/tartaglia.php (102 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-and.ac.uk /history/Biographies/Tartaglia.html (2112 words)

	Niccolo Fontana Tartaglia
		Niccolo Fontana Tartaglia (1499 or 1500 - December 13, 1557) was a mathematician, an engineer (designing fortifications), surveyor (topography w/r best means of defense or offense) and bookkeeper from the then Republic of Venice (now Italy).
		There is a story that Tartaglia learned only half the alphabet from a private tutor before funds ran out, and he had to learn the rest for himself.
		Tartaglia's edition was based on Zamberti's Latin translation of an uncorrupted Greek text, and rendered Book V correctly.
	www.teachersparadise.com /ency/en/wikipedia/n/ni/niccolo_fontana_tartaglia.html (412 words)

	The Italian mathematician, (Site not responding. Last check: )
		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)

	Spartanburg SC \| GoUpstate.com \| Spartanburg Herald-Journal (Site not responding. Last check: )
		NiccolÃ² Fontana Tartaglia (1499, Brescia, Italy–December 13, 1557, Venice, Italy) was a mathematician, an engineer (designing fortifications), surveyor (of topography, seeking the best means of defense or offense) and bookkeeper from the then-Republic of Venice (now part of Italy).
		Tartaglia is also known for having given an expression (Tartaglia's formula) for the volume of a tetrahedron (incl.
		Tartaglia's Triangle(also called Pascal's Triangle): Tartaglia is known for having devised a method, let's say a construction, to obtain binomial coefficients.
	www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=Niccolo_Tartaglia (482 words)

	4.3 Niccolo Fontana - Tartaglia (1500 - 1557) (Dejiny algebry)
		Fontana sa cítil byť podvedený a za porušenie prísahy sa chcel Cardanovi pomstiť.
		Roku 1546 vydáva Fontana knihu Otázky a rôzne vynálezy, v ktorej opísal, ako podlo ho Cardano podviedol a ako od neho vylákal jeho tajomstvo.
		Roku 1557 Niccolo Fontana, tento geniálny autodidakta umiera v chudobe a zabudnutí.
	www.matika.sk /archiv/kvasz/Dejalg/Cast4/Part4-3.htm (856 words)

	Niccolo Fontana Tartaglia - MedPort-Lexikon
		Niccolò Fontana Tartaglia (* 1499 in Brescia, Italien; † 13.
		Tartaglia kannte bereits den binomischen Lehrsatz für ganze positive Exponenten, behandelte Probleme der Wahrscheinlichkeitsrechnung, nahm zahlreiche Bestimmungen des spezifischen Gewichts vor und untersuchte 1537 die Bahn einer abgeschossenen Kanonenkugel.
		fr:Niccolo Fontana Tartaglia he:ניקולו טרטליה it:Niccolò Tartaglia pl:Niccolo Tartaglia sl:Niccolo Fontana Tartaglia sv:Niccolò Fontana Tartaglia
	www.medport.de /lexikon/index.php/Niccolo_Fontana_Tartaglia (309 words)

	13 Dec History: This Date
		Niccolò Fontana known as Tartaglia, was born in Brescia in 1499, the son of a humble mail rider.
		An incensed Cardan now wrote to Tartaglia directly, expressing his bitterness, challenging him to a debate but, at the same time, hinting that he had been discussing Tartaglia's brilliance with the governor of the emperor's army in Milan, Alfonso d'Avalos, the Marchese del Vasto, who one of Cardan's powerful sponsors.
		On receipt of this letter, Tartaglia radically revised his attitude, realizing that acquaintance with the influential Milanese governor could be very rewarding and could provide a way out of the modest teacher's job he then held, and into a lucrative job at the Milanese court.
	www.freewebtown.com /canu/history/h4dec/h4dec13.html (11395 words)

	Niccolo Fontana Tartaglia
		Niccolo Fontana Tartaglia, né à Brescia en 1499 et décédé à Venise en 1557, était un mathématicien italien.
		Rien n'y fait, les soldats de Louis XII pénètrent dans le lieu sacré, massacrent son père, et Niccolo est laissé pour mort avec une fracture du crâne et un coup de sabre à travers la machoire et le palais.
		On doit aussi à Tartaglia des résultats en sciences de l'artillerie, un traité sur les opérations numériques à l'usage du commerce et, en 1543, des traductions d'Euclide et d'Archimède.
	encyclopedie.snyke.com /articles/niccolo_fontana_tartaglia.html (420 words)

	Niccolo Fontana Tartaglia
		Tartaglia kannte bereits den binomischen Lehrsatz fÃ¼r ganze positive Exponenten
		Vorlage:Personendaten en:Niccolo Fontana Tartaglia fr:Niccolo Fontana Tartaglia pl:Niccolo Tartaglia sl:Niccolo Fontana Tartaglia sv:NiccolÃ² Fontana Tartaglia
		Dieser Artikel basiert auf dem Artikel Niccolo Fontana Tartaglia aus der freien Enzyklopädie wikipedia und steht unter der GNU Lizenz für freie Dokumentation.
	www.geschi.de /glossar/geschi/Niccolo_Fontana_Tartaglia.html (252 words)

	Galileo Galilei - New World Encyclopedia Preview
		This theory had become available only a century earlier, thanks to accurate translations by Niccolo Fontana Tartaglia and others.
		By the end of Galileo's life, however, it was being superseded by the algebraic methods of Descartes, which a modern finds incomparably easier to follow.
		Between 1595 and 1598, Galileo devised and improved a "Geometric and Military Compass" suitable for use by artillery gunners and surveyors.
	www.newworldencyclopedia.org /preview/Galileo (3848 words)

	Computational Crystallography Toolbox
		Although Fior was not equal of his teacher, he immediately issued a challenge to Niccolo Fontana (1499-1557).
		Tartaglia refused several of his requests, then finally revealed the solution to Cardano after the latter swore an oath not to publish the secret or to pass it on to anyone else.
		Cardano felt that this relieved him of his obligation to Tartaglia, so he proceeded to publish the solutions in Ars Magna (1545), in which he gave credit to del Ferro for solving the special case of the cubic.
	cctbx.sourceforge.net (579 words)

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