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21. Scipione Del Ferro Professor De Matemática Italiano Nascido Em
Translate this page scipione del ferro Filho de Floriano, empregado de uma fábrica de papel, ede Filippa ferro. Pouco se sabe sobre a sua educação mas deve ter estudado na
http://www.educ.fc.ul.pt/docentes/opombo/seminario/renascenca/scipionedelferro.h
[Home] [O Episódio] [Os personagens] [O problema] ... [Quem somos] Scipione del Ferro Professor de matemática italiano nascido em Bolonha, que descobriu a resolução das equações de terceiro grau (1520), as cúbicas mistas, porém não tornou pública a sua descoberta, divulgando-a apenas entre os seus alunos. Convém lembrar que a solução das quadráticas ax +bx+c=0 ) era conhecida pelos babilónios e que até meados do século XVI o ZERO não era usado na Europa. Também não se usava os números negativos e, portanto não se sabia que as quadráticas tinham duas soluções. Filho de Floriano, empregado de uma fábrica de papel, e de Filippa Ferro. Pouco se sabe sobre a sua educação mas deve ter estudado na Universidade de Bolonha, uma das mais antigas e tradicionais universidades medievais. Sabe-se que foi nomeado professor de aritmética e geometria dessa universidade (1496), ali permanecendo pelo resto da vida. Nos anos de 1501 e 1502 Ferro conheceu Pacioli pois eram os dois professores na universidade de Bolonha. Nessa altura, Pacioli afirmava ser impossível a solução da cúbica . Ferro iniciou então a sua pesquisa para obter a resolução da cúbica tendo obtido bons resultados. Os seus escritos não chegaram aos nossos dias, mas sabe-se que o seu caderno de anotações foi passado, após a sua morte em Bolonha, ao seu genro, Hannibal della Nave, que o teria mostrado a

22. Index.htm
Translate this page Em 1515, scipione del ferro conseguiu determinar um método que lhe permitiuencontrar a scipione del ferro manteve em segredo o seu método de resolução,
http://www.educ.fc.ul.pt/docentes/opombo/seminario/renascenca/
Um Episódio Célebre da Matemática Renacentista Italiana [O Episódio] [Os personagens] [O problema] [Exemplos] ... [Quem somos]
  • Entre 1501 e 1502 Scipione del Ferro conheceu Pacioli que na altura dizia que as cúbicas não tinham solução. Ferro iniciou então uma pesquisa para encontrar a solução da cúbica obtendo bons resultados. Em 1515, Scipione del Ferro conseguiu determinar um método que lhe permitiu encontrar a solução x +px=q . No entanto, não o chegou a publicar. Apenas o revelou a dois discípulos seus: Della Nave e Antonio Fior, dando a demonstração apenas ao primeiro.
Scipione del Ferro manteve em segredo o seu método de resolução, pois era costume, na época, os sábios desafiarem os seus rivais para a resolução de problemas, beneficiando o vencedor, alem da fama, de uma recompensa em dinheiro.
  • Em 1530 Tonini da Coi propôs a Tartaglia um desafio que consistia na resolução das duas equações x +8x=1000 e x Tartaglia não respondeu pois não sabia solucionar tais problemas.

23. Scipione Del Ferro
scipione del ferro Encyklopedia Servis.pl. scipione del ferro (6 lutego1465 - 5 listopada 1526) to matematyk wloski. Urodzony w Bolonii, gdzie zostal
http://encyklopedia.servis.pl/wiki/Scipione_del_Ferro
Nauka i Edukacja w Science Servis - Polski Serwis Naukowy Astronomia Biologia Chemia Fizyka ... Encyklopedia
Scipione del Ferro 6 lutego 5 listopada ) to matematyk włoski Urodzony w Bolonii , gdzie został poźniej profesorem uniwersytetu. Podał spos³b rozwiązywania r³wnania:
x mx n To jest tylko zalążek artykułu . Jeśli możesz, rozbuduj go.

To kopia Polskiej Wikipedii, Wolnej Encyklopedii
Zawartość strony jest dostępna na licencji GNU Free Documentation License 1.2.

24. Ferro Monteleone Di Spoleto
Translate this page L’attività estrattiva del ferro ha avuto per circa un secolo un ruolo rilevante (Spoleto è capoluogo del Dipartimento del Clitumno), scipione Breislak,
http://www.archeoambiente.net/monteleone/ferro.htm
Miniera di Monteleone di Spoleto
a cura di Patrizia Penazzi
Questi lavori che ottennero tutto lo scopo che si voleva conseguire con essi, durarono tre anni ad essere compiuti, e ne fu scolpita nel marmo la memoria in due iscrizioni state allora poste in sul luogo: URBANUS VIII PONT. MAX.
VIAM HANC FONDINARUM USUI
ET PUBBLICAE COMODITATI APERUIT ET STRAVIT
ACMONTEM LEONEM CASSIAM
ET NURSIAM PROTENDIT
ANNO SALUTIS MDXXXIV URBANUS VIII PONT.MAX.
INVENTIS ET RECLUSIS IN UMBRIAE FINIBUS
PROPE MONTEM LEONIS FERRI FONDINIS
AEDIFICIUM ET FORNACEM AD EXCOQUENDAM MATERIAM ET FERRUM FUNDENDUM EXCITAVIT PONTEM EXTRUXT AC VIAM EXPORTATIONI IDONEAM STRAVIT ANNO SALUTIS MDCXXXIV PONTIFICATUS XII A questi pregi si aggiunge essere la miniera di facile scavazione, come quella che si forma di minerale deposto dalle acque. La onde trovasi in fondo delle valli e superficiale molto alla terra, e si estrae a cava aperta.

25. Disputas Matemáticas En El Siglo XVI
Translate this page Sería scipione del ferro, hijo de un imprentero de Bolonia, el primero en scipione del ferro nació el 6 de Febrero de 1465 en Bolonia ciudad en la que
http://www.portalplanetasedna.com.ar/disputas_matematicas.htm
DISPUTAS MATEMATICAS Fuente: Matemáticos Que Hicieron La Historia de Alejandro García Venturini Introducción:
Erase el siglo XVI, en la Italia renacentista, tres notable matemáticos conocidos como Del Ferro, Tartaglia y Cardano, que trabajaban arduamente en busca de encontrar un método práctico para resolver una ecuación matemática, conocida como de tercer grado. Desde la época de los babilonios, 2500 a.d.C.,cuando estos ya conocían la solución de las ecuaciones de segundo grado, (para aplicarlo a sus construcciones) y hasta esa fecha no hubo avances significativos con respecto a este tema. Unos cuántos años antes los famosos matemáticos medievales Fibonacci y Luca Pacioli, habían tratado someramente estos problemas, pero sólo resolviendo algunos casos particulares, e inclusive sin llegar a una demostración racional de tales soluciones. Sería Scipione del Ferro, hijo de un imprentero de Bolonia, el primero en estudiar con un método ortodoxo, la obtención de las raíces (soluciones) de estas funciones matemáticas. Más tarde otras grandes figuras continuarian con estos trabajos, pero sin antes, atravesar un dificil camino de encuentros violentos, dramáticos y deshonestos, por el afán de lograr la primacía en la concrención de sus búsqueda. A través de sus biografía se reflejará esta historia de tristes disputas, y que muestra también la pasión que dominaba a estos genios de los números, que muchas veces viviendo en un ámbito de miserias humanas y materiales , no se dejaban vencer por la adversidad, y siempre se esforzaban para llegar a conocer la verdad de estos dificultosos problemas.

26. CATHOLIC ENCYCLOPEDIA: Nicolo Tartaglia
he had shown the superiority of his methods to the method previously obtainedby scipione del ferro (d. 1526) and known at that time to del Fiore alone.
http://www.newadvent.org/cathen/14461c.htm
Home Encyclopedia Summa Fathers ... Z
(T ARTALEA TARTAGLIA'S Quesiti (Venice, 1554); BITTANTI, (Brescia, 1871); BUONCOMPAGNI, ed. CREMONA AND BELTRAMI, in Collectanea math., Mem. Dom. Chelini (Milan, 1881), 363-410; GIORDANI, I sei cartelli di mat. disfida primamente intorno alla generale risoluzione delle equazioni cubiche con sei Contro-Cartelli in risposta di N. T. (Milan, 1876); ROSSI, Elogi di Bresciani illustri (Brescia, 1620), 386; TONNI-BAZZA, in R. Accad. dei Lincei, Rendiconti, Classe d. sci. fis. , ser. 5, X, pt. II (Rome, 1901), 39-42; TONNI-BAZZA, , loc. cit., ser. 5, XIII, pt. I (Rome, 1904), 27-30. PAUL H. LINEHAN
Transcribed by Thomas J. Bress The Catholic Encyclopedia, Volume XIV
Nihil Obstat, July 1, 1912.
Remy Lafort, S.T.D., Censor
Imprimatur. +John Cardinal Farley, Archbishop of New York If an ad appears here that contradicts Catholic teachings, please click here to notify the webmaster. Praise Jesus Christ in His Angels and in His Saints
New Advent is dedicated to the Immaculate Heart of Mary

27. History Of Algebra
scipione del ferro was a profeesor of mathematics at Bologna, Italy. del ferrohad rediscovered the trick for solving equations of the form
http://www.ux1.eiu.edu/~cfprc/clsrm/alg4810/histalg.html
The History of Algebra
Let me begin in the middle, for my story truly begins there. The rain poured from the sky in torrents. It was peculiar, since it was not the rainy season in Venice. The forces of nature had turned against the city at a most inopportune moment. Ah ... Venice. The streets were filled with that thick mud which clings to ones sandals like a dull slippery weight. Still, there was an enormous crowd gathered in St. Mark's Square ringing the Opera House. And though the auditorium was filled, the overflow crowd lingered outside in the rain waiting ... not for the beautiful sounds of arias, but for news of a contest of wits and wills. Inside the auditorium the noise was deafening. As the arch-deacon rose slowly from his chair in the middle of a bank of chairs to the left side of the stage and rang the bell, a hush fell over the audience. The arch-deacon, acting as master of ceremonies, introduced the competitors, Nicoli Tartaglia and Antonio Maria Fiore, who sat at tables covered with books and papers in the middle of the stage. Tartaglia said nothing, simply nodding his bushy head of unkempt hair to the introductory remarks. Fiore walked out to the apron of the stage and thanked the organizers and the arch-deacon for his generous words of introduction. Tartaglia, who looked more like a bear than a man, appeared to be upset, nervous and pale. Fiore seemed more self assured...
Project 1 Due June 18th
Complete the story above in narrative style. The project should be about 600 to 1000 words. Include at least two references at the end of the story and some explanation of the mathematics. The project can be written in HTML. I will post on www those written in HTML. Simply email the HTML document to

28. Cardano, Geronimo: Information From Answers.com
But scipione del ferro partially solved the cubic early in the 16th century,keeping his solution to himself. Before his death, however, del ferro passed
http://www.answers.com/topic/cardano-geronimo
showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Encyclopedia Essay Or search: - The Web - Images - News - Blogs - Shopping Cardano, Geronimo Encyclopedia Cardano, Geronimo jār´ nēmō k¤rd¤ nō ) , 1501–76, Italian physician and mathematician. His works on arithmetic and algebra established his reputation. Barred from official status as a physician because of his illegitimate birth, he practiced as a medical astrologer. His major work, De subtilitate rerum (1550), on natural history, is perceptive and implies a grasp of evolutionary principles. His book on games of chance represents the first organized theory of probability. Cardano described a tactile system similar to Braille for teaching the blind and thought it possible to teach the deaf by signs. Bibliography See his The Book of my Life (1643, tr. 1930); studies by O. Ore (with a tr. of Cardano's Book of Games of Chance, 1965) and A. Wykes (1969). Essay A great scoundrel In the Italian Renaissance, the professions of scientist and mathematician were just beginning to be defined. One such scholar was Girolamo Cardano, known in English as Jerome Cardan. Cardan's basic source of income was his work as a physician, but he was also at various times a professor of mathematics at the universities of Milan, Pavia, and Bologna. Other sources of income included gambling and astrology; however, he was imprisoned for heresy after he cast Christ's horoscope. Cardan's reputation as a mathematician is deservedly great, but marred by scandal. His 1545 work

29. 1535: Information From Answers.com
Niccoló Tartaglia announces that he can solve certain types of cubic equations,types that were not previously solved by scipione del ferro.
http://www.answers.com/topic/1535
showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping In the year Mathematics Niccol³ Tartaglia announces that he can solve certain types of cubic equations, types that were not previously solved by Scipione del Ferro. See also 1075 Mathematics 1541 Mathematics Dispensatorium by Valerius Cordus [b. Hesse (Germany), February 18, 1515, d. Rome, September 25, 1544], one of the first books to describe most known drugs, chemicals, and medical preparations, is published. Transportation Italians use glass diving bell to explore sunken ships in Lake Nemi. See also ce Tools 1620 Transportation
Wikipedia
@import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css); Years:
Decades

Centuries

15th century
16th century ... 17th century
Events

30. Cubic Formula -- From MathWorld
at the University of Bologna by the name of scipione del ferro (ca. 14651526).While del ferro did not publish his solution, he disclosed it to his
http://mathworld.wolfram.com/CubicFormula.html
INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index
DESTINATIONS About MathWorld About the Author Headline News ... Random Entry
CONTACT Contribute an Entry Send a Message to the Team
MATHWORLD - IN PRINT Order book from Amazon Algebra Algebraic Equations Algebra ... Polynomials Cubic Formula The cubic formula is the closed-form solution for a cubic equation , i.e., the roots of a cubic polynomial . A general cubic equation is of the form (the coefficient of may be taken as 1 without loss of generality by dividing the entire equation through by Mathematica can solve cubic equations exactly using the built-in command Solve a3 x^3 + a2 x^2 + a1 x + a0 == x ]. The solution can also be expressed in terms of Mathematica algebraic root objects by first issuing SetOptions Roots The solution to the cubic (as well as the quartic ) was published by Gerolamo Cardano (1501-1576) in his treatise Ars Magna . However, Cardano was not the original discoverer of either of these results. The hint for the cubic had been provided by , while the quartic had been solved by Ludovico Ferrari. However

31. Algebra In The Renaissance
scipione del ferro (c.1465 1526), one of the teachers at the University ofBologna, found an algorithm for the solution of the cubic equation sometime
http://www.maths.wlv.ac.uk/mm2217/ar.htm
The Development of Algebra in the Renaissance
Notation
The existing knowledge of both arithmetic and algebra came to Western Europe through the study of Arab mathematics. But not until the fifteenth century were symbols used, as Diophantus had done, for the commonest arithmetical operations. About that time, the symbols and for plus and minus were usual in Italy and France. They had been introduced by Lucia Pacioli (1445-1514) as abreviations for the words piu (more) and meno ( less). The symbols + and - occurred in Germany in 1480. These symbols were first to be printed in 1489 in a book by the Rechenmeister Johan Widmann. The symbols and for multiplication and division do not appear until the 17th century. At this time, the sign for equality caught on, although it occurs earlier in an algebra textbook by the englishman Robert Recorde (1510-58), which appeared in 1557. Recorde introduced the sign with the justification that no two things can be more equal than a pair of parallel lines. Albert Girard (1595-1632) seems to have been the first to give negative solutions full recognition. Also, the interpretation of negative numbers as line segments in the opposite direction was taken up again. However a precise foundation for the arithmetic of negative numbers had to wait until the beginning of the nineteenth century. Complex numbers were used from the 16th century, initially to aid in the solution of cubic equations, but these were viewed with even more scepticism.

32. Historia Matematica Mailing List Archive: Re: [HM] The Tartaglia/Cardano Controv
Anonio Maria Fiore got the information on the cubic from scipione del ferro. He was in the possession of del ferro s papers Cardano and Ferrari saw
http://sunsite.utk.edu/math_archives/.http/hypermail/historia/may99/0184.html
Re: [HM] The Tartaglia/Cardano controversy
Prof. Lueneburg luene@mathematik.uni-kl.de
Fri, 21 May 1999 09:35:15 +0200 (MESZ)
On Thur, May 20, Dr. John W. Dawson, Jr. wrote among other things:
The plural "students" here is actually a dual. Annibale dalla Nave and
Anonio Maria Fiore got the information on the cubic from Scipione del
Ferro. Annibale dalla Nave was the son-in-law of del Ferro and his
successor as a professor of mathematics at the University of Bologna.
He was in the possession of del Ferro's papers Cardano and Ferrari saw
visiting Bologna.
Antonio Maria Fiore was the one who challenged Tartaglia. The thirty
problems he posed to Tartaglia were published by Tartaglia in Quesito
XXXI. They all lead to equations of the form x^3 + px = q except the 16th one which leads to the equation 14 + x = x^5 + 2x^3. One of the

33. Historia Matematica Mailing List Archive: Re: [HM] Earliest Priority Dispute?
very similar formula in the handwriting of scipione del ferro, the man who hadfirst made the breakthrough. And so, in this infamous
http://sunsite.utk.edu/math_archives/.http/hypermail/historia/may99/0206.html
Re: [HM] Earliest priority dispute?
llusk@ccmail.gc.cc.fl.us
Tue, 25 May 99 11:31:18 -0600

First Prof. Lueneburg wrote:
Then Arturo Mena replied:
Prof. Lueneburg, I assume, is referring to Ferrari's second letter
which was sent to Tartaglia on 1 April, 1547, which is known in the US
as "April Fool's Day." (Little pun intended.) He (Ferrari) claims to
have been present in Cardano's house when Tartaglia gave Cardano his
'inventiunculam', and as Prof. Lueneburg states, that no promises were
made, and, in effect or by implication, the gift was in return for
Cardano's hospitality. (Must have been a wonderful evening.) As Arturo Mena points out, in assessing the value of this statement one must not forget of Ferrari's strong partisanship towards Cardano.

34. Biographie Cardan
Translate this page Il faut leur adjoindre en ce domaine scipione del ferro, 1465-1526, Il semblebien que ce soit scipione del ferro qui ait le premier résolu les
http://mathematiques.ac-bordeaux.fr/viemaths/hist/mthacc/cardan.htm
e Al Khwarizmi Ars Magna C'est dans l' Ars Magna nombres complexes (-15) et 5 - (-15), et constate que leur produit et leur somme sont tous deux des nombres positifs ordinaires : 40 et 10. Il qualifie lui-même ces considérations de "subtiles et inutiles". Toujours dans le contexte des équations du troisième degré, c'est Rafaele Bombelli qui systématisera l'emploi des nombres complexes dans le cas où les trois racines sont réelles. , dans son

35. \documentclass{article} \usepackage{amstex} \usepackage{amssymb
in modern notation the case $y^3+cy=d$ where $c$ and $d$ are positive, wassolved by scipione del ferro (14651626) early in the sixteenth century.
http://www.york.ac.uk/depts/maths/histstat/cubic.htm
LaTeX source for solution of cubic and quartic

36. Computational Crystallography Toolbox
scipione del ferro (14651526), of the University of Bologna, solved the depressedcubic, . ax^3+cx+d=0. He kept his solution an absolute secret.
http://cctbx.sourceforge.net/
Computational Crystallography Toolbox
cctbx links
Please direct questions to The cctbx Open Source License is inspired by this
Historical Note
As found in:
  • Thomas W. Judson , Abstract Algebra: Theory and Applications, PWS Publishing Company, Boston, 1994, pp. 282-283.
Reproduced with kind permission from the author: Throughout history, the solution of polynomial equations has been a challenging problem. The Babylonians knew how to solve the equation ax^2+bx+c=0. Omar Khayyam (1048-1131) devised methods of solving cubic equations through the use of geometric constructions and conic sections. The algebraic solution of the general cubic equation ax^3+bx^2+cx+d=0 was not discovered until the sixteenth century. An Italian mathematician, Luca Paciola (ca. 1445-1509), wrote in Summa de Arithmetica that the solution of the cubic was impossible. This was taken as a challenge by the rest of the mathematical community.

37. Computational Crystallography Toolbox
scipione del ferro (14651526), of the University of Bologna, solved the depressedcubic, ax^3+cx+d=0. He kept his solution an absolute secret.
http://cctbx.sourceforge.net/versions.txt
===================================== Computational Crystallography Toolbox ===================================== cctbx links - - `Introduction `_ - `Web services `_ - `Downloads `_ - `CVS repository `_ - `Project page at SourceForge `_ - Newsletter articles, IUCr Computing Commission: - `No. 1, 2003/01 `_ - `No. 2, 2003/07 `_ - `No. 3, 2004/01 `_ - `No. 4, 2004/08 `_ - `No. 5, 2005/01 `_ - Python interfaces: - `libtbx `_ - `scitbx `_ - `cctbx `_ - `iotbx `_ - `mmtbx `_ - `C++ interfaces `_ - Notes by Michael Hohn: - `scitbx tour `_ - `array family tour `_ - `Most current source tree `_ Please direct questions to cctbx@cci.lbl.gov . - The cctbx `Open Source License `_ is inspired by this Historical Note - As found in: - `Thomas W. Judson

38. Wikipedia:Encarta Encyclopedia Topics/7 - Wikipedia, The Free Encyclopedia
Ferreting Kathleen Mary Ferrier or Ferrier, Kathleen Mary scipione delferro or ferro, scipione del Fescennine verses Festivals and feasts
http://en.wikipedia.org/wiki/Wikipedia:Encarta_Encyclopedia_topics/7
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Wikipedia:Encarta Encyclopedia topics/7
From Wikipedia, the free encyclopedia.
Wikipedia:Encarta Encyclopedia topics View 79 deleted edits Wikipedia does not have an article with this exact name.

39. Tartaglia Et Cardan
Translate this page Remarque scipione del ferro (1465-1 526) fut un précurseur de Tartaglia dansce domaine mais les papiers de celui-ci sont perdus.
http://www.math93.com/Tartaglia-Cardan.htm
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Alexandrie
Les Symboles Les nombres Etymologie ...
Equations
Liens sur la page Tartaglia Cardan Le conflit Evariste galois
  • Tartaglia (Brescia, 1500?-Venise, 1557)
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".)
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", disait-il.
Cependant il est surtout célèbre par la découverte d'une méthode de résolution des équations du 3° degré ; cette découverte, faite en 1537, fut dévoilée à Cardan en 1539 et c'est celui-ci qui la diffusa (on lui donne le nom de "méthode de Cardan" encore aujourd'hui dans les livres de premier cycle universitaire).

40. Scipione Del Ferro - Encyklopedia
scipione del ferro. Z Wikipedii, wolnej encyklopedii. scipione del ferro (6 lutego1465 5 listopada 1526) to matematyk wloski.
http://encyklopedia.korba.pl/wiki/Scipione_del_Ferro
Startuj z Nami! Dodaj do ulubionych Korba.pl Polski internet ... Encyklopedia Szukaj w encyklopedi:
Kategorie stron
: Zalążki artykuł³w - wrzesień 2005 Matematycy
Scipione del Ferro
Z Wikipedii, wolnej encyklopedii. Scipione del Ferro 6 lutego 5 listopada ) to matematyk włoski Urodzony w Bolonii , gdzie został poźniej profesorem uniwersytetu. Podał spos³b rozwiązywania r³wnania:
x mx n To jest tylko zalążek artykułu . Jeśli możesz, rozbuduj go.
Źr³dło: " http://encyklopedia.korba.pl/wiki/Scipione_del_Ferro Tę stronę obejrzano 4 razy; Tę stronę ostatnio zmodyfikowano o 16:36, 31 gru 2004 Treść udostępniana na licencji GNU Free Documentation License 1.2
To jest kopia Polskiej Wikipedii, Wolnej Encyklopedii
Zawartosc strony jest dostepna na licencji GNU Free Documentation License 1.2. var gemius_identifier = new String('nA5KgYhNqvlD2Cpx9EtpRvWp7zZFsgMa0iUwovc_bMT.67');

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