1. Ferrari Lodovico Ferrari. Lodovico Ferrari was a remarkable young man. Born in Bologna in1522, he arrived at Cardan's house as a fourteen year old to become a servant. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Ferrari.html

Lodovico Ferrari Born: 2 Feb 1522 in Bologna, Papal States (now Italy) Died: 5 Oct 1565 in Bologna, Papal States (now Italy) Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Lodovico Ferrari was a remarkable young man. Born in Bologna in 1522, he arrived at Cardan 's house as a fourteen year old to become a servant. Cardan , upon the discovery that the lad could read and write, exempted him from menial tasks and appointed the youngster as his secretary. It was soon clear to Cardan that his secretary was an exceptionally gifted young man and he decided to teach him mathematics. Ferrari repaid his master by helping him with his manuscripts and, when Cardan generously resigned his post at the Piatti Foundation in Milan to make way for him in 1540, Ferrari easily defeated his only rival for the post in a debate and thus, at the age of eighteen, became a public lecturer in geometry. Cardan and Ferrari had made remarkable progress on the foundations that Tartaglia had unwillingly given them. Ferrari discovered the solution of the

2. Histoire4 Translate this page L'Histoire des. Equations du 4° degré. ferrari lodovico. Ce brillantélève de Cardan rédigea pour son maître la résolution des http://maurice.bichaoui.free.fr/Histoire4.htm

L'Histoire des Equations du 4° degré Ferrari Lodovico Ce brillant élève de Cardan rédigea pour son maître la résolution des équations du 4° degré par l'intermédiaire d'une équation auxiliaire de degré 3, dite équation résolvante. Cardan la publia dans son " Arts Magna " en en précisant qu'elle avait été découverte par son élève. Descartes René En , en annexe de son " Discours sur la méthode ", il publiait son algèbre dans lequel figura une autre méthode de résolution des équations du 4° degré par coefficients indéterminés. Retour

3. About "Lodovico Ferrari" Lodovico Ferrari. Library Home Full Table of Contents Suggest a Link Library Help Visit this site http//web.one.net.au/~hydros/. Author http://mathforum.org/library/view/16295.html

Lodovico Ferrari Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://web.one.net.au/~hydros/ Author: Description: A sixteenth-century mathematician and professor of mathematics at the University of Bologna, recognized for discovering the solution of the quartic (fourth degree) polynomial equation. Biographical information, timeline, and Ferrari's solution. Levels: High School (9-12) College Languages: English Math Topics: Polynomials History and Biography Suggestion Box Home ... Search http://mathforum.org/ webmaster@mathforum.org

4. Lodovico Ferrari - Wikipedia Lodovico Ferrari. From Wikipedia, the free encyclopedia. LodovicoFerrari (15221565) was a servant to Gerolamo Cardano. He was http://www.wikipedia.org/wiki/Lodovico_Ferrari

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 Lodovico Ferrari From Wikipedia, the free encyclopedia. Lodovico Ferrari ( ) was a servant to Gerolamo Cardano . He was extremely bright, so Cardano started teaching him mathematics. He aided Cardano on his solutions for quadratic and cubic equations, and was mainly responsible for the solution of quartic equations that Cardano published. While still in his teens, Ferrari was able to obtain a prestigious teaching post after Cardano resigned from it and recommended him. Ferrari eventually retired young (only 42) and quite rich. He then moved to his hometown to take up a professorship of mathematics in 1565. Shortly thereafter, he died of arsenic poisoning. Edit this page Discuss this page Older versions What links here ... Recent changes It was last modified 18:27 Jan 7, 2003. All text is available under the terms of the

5. Directorio - Historia Translate this page unanswered questions. Lodovico ferrari lodovico Ferrari, his solutionto the quartic equation, Tartaglia and Cardano. Niels Henrik http://www.satd.uma.es/matap/svera/links/matnetg12.html

Matemáticos Restaurar marco Añade tu web Anterior Home ... Siguiente en todo el directorio Dmoz sólo en Matemáticas/Matemáticos Top Directorio Español: Matemáticas Matemáticos Descripción Genéricas: Acontecimientos Aplicaciones Asociaciones Bibliotecas ... Software Específicas: Álgebra Análisis An. Numérico Cálculo ... Topología Esta categoría en otros idiomas: Inglés Historia de Matemáticos Famosos - Realizado por la Universidad de Santiago de Chile. Abel, Niels Henrik - Matemático noruego (1802 - 1829). Aitken, Alexander - Matemático neocelandés (1895 - 1967). Al-Khwarizmi - Realizado por la gacetilla matemática de Sevilla. Anaxágoras de Clazomenae - (499 - 428 AC). Apolonio de Perga - (262? - 190? AC) Arquímedes de Siracusa - (287 - 212 AC). Barrow, Isaac - Matemático inglés (1630 - 1677). Berkeley, George - Matemático irlandés (1685 - 1753). Bernouilli, Daniel Bernouilli, Jacob (Jacques) - Matemático suizo (1654 - 1705). Bernouilli, Johann (II)

6. Le Mans Roll Of Honour - Les 70 Victoires Du Siecle 24 Heures Du Mans Translate this page 1962 - FERRARI Olivier Gendebien-Phil Hill. 1963 - ferrari lodovico Scarfiotti-LorenzoBandini. 1964 - FERRARI Jean Guichet-Nino Vacarella. http://www.xkevocation.com/gallery.html

search engine optimisation LE MANS ROLL OF HONOUR Les 70 victoires du Siecle 24 heures du Mans Click on images to view enlarged versions 1923 - CHENARD ET WALCKER Andre Lagache-Rene Leonard 1924 - BENTLEY John Duff-Frank Clement 1925 - LORRAINE-DIETRICH Gerard de Courcelles-Andre Rossignol 1926 - LORRAINE-DIETRICH Robert Bloch-Andre Rossignol 1927 - BENTLEY "Sammy" Davis-Dr John Benjafield 1928 - BENTLEY Woolf Barnato-Bernard Rubiun 1929 - BENTLEY Woolf Barnato-Henry Birkin 1930 - BENTLEY Woolf Barnato-Glen Kidston 1931 - ALFA ROMEO Lord Howe-Henry Birkin 1932 - ALFA ROMEO Raymond Summer-Luigi Chinetti 1933 - ALFA ROMEO Raymond Sommer-Tazio Nuvolari 1934 - ALFA ROMEO Phillipe Etancelin-Luigi Chinetti 1935 - LAGONDA John Hindmarsh-Luis Fontes 1937 - BUGATTI Jean-Pierre Wimille-Robert Benoist 1938 - DELAHAYE Eugene Chaboud-Jean Tremoulet 1939 - BUGATTI Jean-Pierre Wimille-Pierre Veyron 1949 - FERRARI Luigi Chinetti-Lord Selsdon 1950 - TALBOT Louis Rosier-Jean-Louis Rousier 1951 - JAGUAR Peter Walker-Peter Whitehead 1952 - MERCEDES BENZ Hermann Lang-Fritz Riess 1953 - JAGUAR Tony Rolt-Duncan Hamilton

7. Virtual Encyclopedia Of Mathematics fatou pierre joseph louis faulhaber johann feigl georg fejér lipót feller williamfermat pierre de ferrar william leonard ferrari lodovico ferrel william http://www.lacim.uqam.ca/~plouffe/Simon/supermath.html

Super-Index of Biographies of Mathematicians abel niels henrik abraham bar hiyya ha-nasi abraham max abu kamil shuja ibn aslam ibn muhammad ... zygmund antoni This index was automatically generated using a new tagging program written by Simon Plouffe at LaCIM

8. Encyclopædia Britannica Encyclopædia Britannica. ferrari, lodovico. Encyclopædia Britannica Article http://www.britannica.com/eb/article?eu=34697

9. Ferrari, Ludovico cartelli di mathematica disfida scambiati fra lodovico ferrari e Niccolo Tartaglia, Rendiconti dell'Istituto lombardo di http://es.rice.edu/ES/humsoc/Galileo/Catalog/Files/ferrari.html

Catalog of the Scientific Community Ferrari, Ludovico Note: the creators of the Galileo Project and this catalogue cannot answer email on genealogical questions. 1. Dates Born: Bologna, 2 Feb. 1522 Died: Italy, Oct. 1565 Dateinfo: Dates Certain Lifespan: 2. Father Occupation: Unknown Ferrari's grandfather was a refugee in Bologna from Milan. This is all that is said of the father. Ferrari was orphaned at the age of fourteen. He had not received any formal education. Without any possessions or resources he went to Milan. Can this possibly mean anything other than poverty? 3. Nationality Birth: Italian Career: Italian Death: Italian 4. Education Schooling: Bologna, Ph.D. Having received no formal education, he was sent to Milan where he joined the household of Girolamo Cardano in 1536. Cardano introduced him to Latin, Greek, and Mathematics. Years later, in 1564, he returned to Bologna where he earned a doctorate in philosophy. All things considered, I think this had to have been an earned degree. I assume a B.A. or it equivalent. 5. Religion

10. Lodovico Scarfiotti - I Campioni Della Ferrari References for the biography of lodovico ferrari A Masotti, Sui 'Cartelli di matematica disfida' scambiati fra lodovico ferrari e Niccol Tartaglia, Ist. http://www.f1grandprix.it/storia/campioni/scarfiotti.htm

www.f1grandprix.it Lodovico Scarfiotti Bravo su ogni vettura Parkes e Scarfiotti. E’ stata una coppia ideale per le corse a lunga distanza. Un binomio che ha dato dimostrazioni di forza e di volontà di vincere. Uno completava l’altro. L’inglese, ormai modenese, con le sue abitudini italiane innestate sulla determinazione albionica; il marchigiano di Torino con la sua esuberanza di giovanotto apparentemente senza problemi nella vita. "Irruente oltre misura, avrebbe corso con qualsiasi tipo di macchina, in qualsiasi momento, su qualsiasi pista". Così Ferrari ricorda Scarfiotti. Ragazzo di ottima famiglia, comincia a vincere con le vetture turismo e si impone due volte nell’Europeo della Montagna. Nei prototipi si fa valere: vince la 1000Km del Nurburgring con Vaccarella; Sebring e Le Mans con Surtees. Ma sogna soprattutto quella F1 che Maranello gli concede con parsimonia. Disputa in tutto 8 corse. Trionfa nel GP di italia a monza del 1966, primo italiano dopo Ascari. Poi prova con la Eagle e la Cooper. Capisce tuttavia che le ruote scoperte sono la via giusta. Accetta la proposta della Porsche per guidare i prototipi (1968). Ed è secondo a Brands Hatch. Ma in giugno in Germania, nelle prove della corsa in salita di rossfeld per l’Europeo della Montagna, esce di strada. Sbalzato dalla vettura, batte la testa contro una roccia e muore.

11. This Is What Ferrari Is Recognized To Have Achieved This site has the general algebraic solution to the quartic equation. It also has an example on how to solve the equation that lodovico ferrari solved (ferrari discovered the solution). http://members.tripod.com/l_ferrari/quartic_equation.htm

This is what Ferrari is recognized to have achieved: Cardano was given a word problem by another mathematician, which equated to this equation: x x x (original equation) Cardano was unable to solve it. He then passed it onto Ferrari who managed to solve it. It is almost a quartic equation ( ax bx cx dx e bx Reference Structure/Equation/Step Description x px qx r x x x Taking 60 x from both sides x p px qx r p x x x Making a perfect square x p y y p x qx y y x y y x x y y Introducing y into the perfect square. The right-hand side has been made a quadratic equation in x , in the form y ax bx + c q p y p r py y y y y Making a perfect square with y. This is done by making a discriminant zero*. y y y Multiplying out the brackets ax + bx + cx + d y y y Dividing equation by 8 to simplify. It is now a cubic equation*. This is known as the resolvent cubic of the original quartic. x y y x x y y x x x Solved the cubic equation and found that y 4. Now substituting into the equation in step 2. x x x Simplifying x x Making a perfect square with the right-hand side x x Taking the square root of both sides ax bx c = x x In quadratic form (at least enough to substitute into the quadratic formula) b b ac Solve by using quadratic formula.

12. Ferrari Biography of lodovico ferrari (15221565) Main index. lodovico ferrari was a remarkable young man. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Ferrari.html

Lodovico Ferrari Born: 2 Feb 1522 in Bologna, Papal States (now Italy) Died: 5 Oct 1565 in Bologna, Papal States (now Italy) Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Lodovico Ferrari was a remarkable young man. Born in Bologna in 1522, he arrived at Cardan 's house as a fourteen year old to become a servant. Cardan , upon the discovery that the lad could read and write, exempted him from menial tasks and appointed the youngster as his secretary. It was soon clear to Cardan that his secretary was an exceptionally gifted young man and he decided to teach him mathematics. Ferrari repaid his master by helping him with his manuscripts and, when Cardan generously resigned his post at the Piatti Foundation in Milan to make way for him in 1540, Ferrari easily defeated his only rival for the post in a debate and thus, at the age of eighteen, became a public lecturer in geometry. Cardan and Ferrari had made remarkable progress on the foundations that Tartaglia had unwillingly given them. Ferrari discovered the solution of the

13. References For Ferrari Translate this page References for lodovico ferrari. A Masotti, Sui 'Cartelli di matematica disfida' scambiatifra lodovico ferrari e Niccol˜ Tartaglia, Ist. Lombardo Accad. Sci. http://www-gap.dcs.st-and.ac.uk/~history/References/Ferrari.html

References for Lodovico Ferrari Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Articles: G Candido, Le risoluzioni della equazione di quarto grado (Ferrari-Eulero-Lagrange), Period. Mat. G Cardano, Vita Ludovici Ferrarii Bononiensis, Opera Omnia IX (Lyons, 1663), 568-569. A Fiocca, Some unpublished works of Ludovico Ferrari (Italian), Boll. Storia Sci. Mat. A Masotti, Sui 'Cartelli di matematica disfida' scambiati fra Lodovico Ferrari e Niccol˜ Tartaglia, Ist. Lombardo Accad. Sci. Lett. Rend. A L di Pasquale, I cartelli di matematica disfida di Ludovico Ferrari e i controcartelli di Nicol˜ Tartaglia. I, Period. Mat. L di Pasquale, I cartelli di matematica disfida di Ludovico Ferrari e i controcartelli di Nicol˜ Tartaglia. II, Period. Mat. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR June 1998 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Ferrari.html

14. FERRARI, Lodovico, Quinto Cartello... Contr'a Messer Nicolo Tartaglia... presented his own research on thirddegree equations and his relations with Cardano,whom he discussed in offensive language. br 'lodovico ferrari, who devised http://www.polybiblio.com/watbooks/2570.html

W. P. Watson Antiquarian Books FERRARI, Lodovico Quinto Cartello... contr'a messer Nicolo Tartaglia... [colophon:] Milan, October 1547 .4to (214 x 152 mm), ff [28] with woodcut diagrams in text; a fine copy in quarter sheep and marbled boards. £15,000 First edition, extremely rare, of the most important of Ferrari's cartelli addressed to Niccolo Tartaglia in their dispute over the solution of cubic equations. This is the most signifcant of the cartelli, and the only one with major mathematical content (the others were largely polemical). The method of solving third-degree equations had been discovered by Scipione Ferro, but had remained unpublished. It was rediscovered by Tartaglia, who revealed the method to Girolamo Cardano under a promise not to publish it. Cardano and his pupil Ferrari, however, later examined Ferro's manuscripts and published the solution in Cardano's Ars magna (Nuremberg 1545), crediting both Ferro and Tartaglia with the solution. Tartaglia was furious and in the ninth book of his Quesiti 'he presented his own research on third-degree equations and his relations with Cardano, whom he discussed in offensive language. 'Lodovico Ferrari, who devised the solution of fourth-degree equations, rose to Cardano's defence and sent a notice (cartello) of mathematical challenge to Tartaglia. Between 10 February 1547 and 24 July 1548 they exchanged twelve printed brochures (Ferrari's six Cartelli and Tartaglia's six Risposte, all usually known as Cartelli), which are important for their scientific content and are notable for both polemical liveliness and bibliographical rarity. The exchange was followed by a debate between Tartaglia and Ferrari in the Church of Santa Maria del Giardini, in Milan, on 10 August 1548. The scientific portion of the dispute consisted of the solution of sixty-two problems that the two contestants had posed to each other... They offer a vivid picture of the state of the exact sciences in mid-sixteenth-century Italy' (DSB).

15. Histoire41 Translate this page lodovico ferrari. (Italien,1522-1565). lodovico ferrari était unmathématicien de génie. Né à Bologne le 2 février 1522, il http://maurice.bichaoui.free.fr/Histoire41.htm

Lodovico Ferrari (Italien,1522-1565) Lodovico Ferrari était un mathématicien de génie. Né à Bologne le 2 février , il arriva à la maison de Cardan à 14 ans pour être domestique. Cardan remarqua ses capacités intellectuelles, le dispensa des tâches domestiques et le prit comme secrétaire. Il était aussitôt clair pour Cardan que celui-ci était exceptionnel et il décida de lui enseigner les mathématiques. Ferrari récompensa son maître par son aide dans l'écriture de ses manuscrits. En , lorsque Cardan démissionna de la Fondation Piatti à Milan pour s'adonner aux jeux, Ferrari récupéra son poste en évinçant facilement son seul rival dans un débat et ainsi, à l’âge de 18 ans devint conférencier en géométrie. Cardan et Ferrari ont fait de remarquables progrès dans la méthode que Tartaglia leur a donnée à contre c œur. Ferrari découvrit la solution des équations du 4° degré en 0, par l'usage d'une équation auxiliaire du 3° degré dite équation résolvante. il devint célèbre et il fut submergé d’offres d’emploi notamment de l’empereur lui-même qui voulait un professeur particulier pour son fils. Ferrari fût récompensé financièrement et eût un poste auprès de l’empereur. Après son transfert au service de l’église, c’était un jeune riche.

16. About "Lodovico Ferrari" Scarfiotti lodovico (19331968), woski kierowca wycigowy. Na samochodach ferrari zwyciy w 1963 w 24-godzinnym wycigu w Le Mans http://mathforum.com/library/view/16295.html

Lodovico Ferrari Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://web.one.net.au/~hydros/ Author: Description: A sixteenth-century mathematician and professor of mathematics at the University of Bologna, recognized for discovering the solution of the quartic (fourth degree) polynomial equation. Biographical information, timeline, and Ferrari's solution. Levels: High School (9-12) College Languages: English Math Topics: Polynomials History and Biography Suggestion Box Home ... Search http://mathforum.org/ webmaster@mathforum.org

17. Salvador Vera: Directorio De Matemáticas. Mathematics Web Directory It also has an example on how to solve the equation that lodovico ferrari solved (ferrari discovered the solution). http://www.informatica.uma.es/matap/svera/links/matnet.html

Esta página contiene miles de enlaces de Matemáticas clasificados por especialidad. Desde ella puedes acceder a la página de Cálculo para La Ingeniería del mismo autor, desde donde puedes descargarte apuntes, problemas y exámenes propuestos y resueltos. Esta página es de FRAMES. Si su visualizador no soporta Frames. pulse aquí para volver.

18. Salvador Vera: Directorio - Algebra It also has an example on how to solve the equation that lodovico ferrari solved (ferrari discovered the solution). http://www.informatica.uma.es/matap/svera/links/matnet01.html

Álgebra Restaurar marco Añade tu web Anterior Home ... Siguiente en todo el directorio Dmoz sólo en Matemáticas/Álgebra_Lineal Top Directorio Español: Matemáticas Álgebra Lineal Descripción Genéricas: Acontecimientos Aplicaciones Asociaciones Bibliotecas ... Software Específicas: Álgebra Análisis An. Numérico Cálculo ... Topología Esta categoría en otros idiomas: Inglés Álgebra abstracta - Conceptos generales de álgebra abstracta y lógica. Definiciones y teoremas. Álgebra Matricial . Programa de Álgebra Matricial perteneciente al curriculum de 2º de Bachillerato. Esta Web genera matrices para que el alumno opere con ellas on line y comprueba las respuesta del alumno. Todos los contenidos de la Web están orientados a conseguir soltura en la manipulación de matrices y determinantes usando el método de Gauss o de triangulación. Puedes descargar la Web en formato zip (302 Kb). Matrices y Determinantes - Breve tutorial sobre cálculo matricial con numerosos ejemplos y un apartado para el cálculo interactivo. Teoría de conjuntos . Teoría de conjuntos, tratada de manera elemental.

19. Lodovico Ferrari Click here to visit our sponsor lodovico ferrari. 1522 1565. Startyour search on lodovico ferrari. Other educational search http://www.virtualology.com/virtualpubliclibrary/hallofeducation/Mathematics/Lod

You are in: Virtual Public Library Hall of Education Mathematics Lodovico Ferrari Lodovico Ferrari Start your search on Lodovico Ferrari Other educational search engines: Ask Jeeves for Kids Britannica.com CyberSleuth Kids Education World ... Yahooligans Unauthorized Site: This site and its contents are not affiliated, connected, associated with or authorized by the individual, family, friends, or trademarked entities utilizing any part or the subject’s entire name. Any official or affiliated sites that are related to this subject will be hyper linked below upon submission and Virtualology's review. 2000 by Virtualology TM . All rights reserved. Virtualology TM Search: About Us e-mail us Editing Sponsor Editing Sponsors review and select all student work for publishing. To learn more about our editing sponsor program click here. Published Students Primary Secondary College Graduate ... Technical

20. Biography-center - Letter F ferrari/gaudenzi/biograph.html; ferrari, lodovico wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/ferrari.html;Ferrel, William www http://www.biography-center.com/f.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish F 430 biographies www-history.mcs.st-and.ac.uk/~history/Mathematicians/Faa_di_Bruno.html Faber, Knud Helge www.whonamedit.com/doctor.cfm/464.html Fabi, Corrado www.grandprix.com/gpe/drv-fabcor.html Fabi, Teo www.grandprix.com/gpe/drv-fabteo.html Fabian (Crockaert), Lara www.askmen.com/women/singer/44_lara_fabian.html Fabian (Crockaert), Lara membres.lycos.fr/larafabian1/lara.html Fabray, Nanette www.wic.org/bio/nfabray.htm Fabre, François-Xavier www.getty.edu/art/collections/bio/a621-1.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Fabri.html Fabriano, Gentile da www.ibiblio.org/wm/paint/auth/gentile/ Fabricius, Cared www.kfki.hu/~arthp/bio/f/fabritiu/biograph.html Fabry, Johannes www.whonamedit.com/doctor.cfm/467.html Faggin, Federico

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