1. História Da Matemática Na Europa - Abraham Ben Hiyya ReferênciasBibliográficas. Autores História da Matemática na Europa Ocidental. abraham bar hiyya. ( 1092 1167) abraham bar hiyya, foi um matemático e astrónomo judeu que viveu em Espanha. http://www.malhatlantica.pt/mathis/Europa/Medieval/Hiyya.htm

Referências Bibliográficas Autores História da Matemática na Europa Ocidental Abraham bar Hiyya Abraham bar Hiyya, foi um matemático e astrónomo judeu que viveu em Espanha. Também conhecido pelo seu nome em latim Savarsoda, que significa governador da cidade, foi, provavelmente educado num dos principados árabes do califado de Córdova. Mas, foi em Barcelona que Abraham escreveu as suas obras originais em hebreu. Conhecem-se duas obras com conteúdos matemáticos: - a primeira enciclopédia escrita em hebreu, sobre matemática, astronomia, óptica e música, Yesodey ha-Tevuna u-Migdal ha-Emuna - e uma obra de geometria prática, Hibbur ha-Meshiha we-ha-Tishboret, Tratado da medida e cálculo) , de 1116. Este tratado foi traduzido para latim, em 1145, por Plato de Tivoli, com o nome Liber embadorum Embora este tratado tivesse como objectivo ajudar os judeus espanhóis e franceses no cálculo da medição dos campos, nele encontram-se algumas definições, axiomas e teoremas de Euclides. Nele encontram-se justificações geométricas, ao estilo islâmico, para justificar problemas algébricos, incluindo as equações do 2º grau. Alguns problemas do Tratado da medida e cálculo Problema Se da área de um quadrado subtrairmos a soma dos [quatro] lados e sobrar 21, qual é a área do quadrado e qual é o comprimento de cada um dos lados iguais?

2. Adventures In Philosophy: A Brief History Of Jewish Philosophy Islam met each other on the battlefield, abraham bar hiyya, called by his fellow Jews "the prince " and Reflection on the Soul), abraham bar hiyya, while exposing his ideas on http://radicalacademy.com/adiphiljewish1.htm

Adventures in Philosophy JEWISH PHILOSOPHY Select a Category... Ancient Philosophy Medieval Philosophy Modern Philosophy Recent Philosophy American Philosophy Islamic Philosophy Jewish Philosophy Political Philosophy Jewish Philosophy Index Academy Resources Glossary of Philosophical Terms Philosophy Search Engine Timeline of Philosophy A Timeline of American Philosophy ... Books about Religion in The Radical Academy Bookstore Shop Amazon Stores in the Radical Academy Bookstore Magazine Outlet Music Store Video Store ... Baby Superstore Select: Philo Judaeus Saadia Al-Mukammas Ibn Gabriol ... Abraham bar Hiyya Philo Judaeus - (c. 25 B.C. - c. 50 A.D.) (Also known as Philo of Alexandria) Main Ideas: Synthesizes Platonic, Stoic, and Jewish values and ideas.

3. Abraham abraham bar hiyya HaNasi. Born 1070 in Barcelona, Spain Died 1136 in Provence,France. abraham bar hiyya was a Spanish Jewish mathematician and astronomer. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Abraham.html

Abraham bar Hiyya Ha-Nasi Born: 1070 in Barcelona, Spain Died: 1136 in Provence, France Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Abraham bar Hiyya was a Spanish Jewish mathematician and astronomer. In the Hebrew of his time 'Ha-Nasi' meant 'the leader' but he is also known by the Latin name Savasorda which comes from his 'job description' showing that he held an official position in the administration in Barcelona. Abraham bar Hiyya is famed for his book Hibbur ha-Meshihah ve-ha-Tishboret (Treatise on Measurement and Calculation), translated into Latin by Plato of Tivoli as Liber embadorum in 1145. This book is the earliest Arab algebra written in Europe. It contains the complete solution of the general quadratic and is the first text in Europe to give such a solution. Rather strangely, however, 1145 was also the year that al-Khwarizmi 's algebra book was translated by Robert of Chester so Abraham bar Hiyya's work was rapidly joined by a second text giving the complete solution to the general quadratic equation. It is interesting to see the areas of mathematics and the mathematicians with which Abraham was familiar. Of course he knew geometry through the works of

4. Abraham Bar Hiyya --  Encyclopædia Britannica also called AbrahamBarHiyya Hanasi (Hebrew the Prince) Spanish Jewish philosopher, astronomer, astrologer, and MLA style " abraham bar hiyya." Encyclopædia Britannica http://www.britannica.com/eb/article?eu=3417&tocid=0&query=abraham bar h

5. A Quotation By Abraham A quotation by abraham bar hiyya. Who wishes correctly to learn theways to measure surfaces and to divide them, must necessarily http://www-gap.dcs.st-and.ac.uk/~history/Quotations/Abraham.html

A quotation by Abraham bar Hiyya Who wishes correctly to learn the ways to measure surfaces and to divide them, must necessarily thoroughly understand the general theorems of geometry and arithmetic, on which the teaching of measurement ... rests. If he has completely mastered these ideas, he ... can never deviate from the truth. Treatise on Mensuration Main index Quotations index Biographies Index History Topics ... Anniversaries for the year JOC/EFR February 2003 The URL of this page is: School of Mathematics and Statistics University of St Andrews, Scotland http://www-history.mcs.st-andrews.ac.uk/Quotations/Abraham.html

6. Abraham Biography of abraham bar hiyya (10701136) abraham bar hiyya is famed for his book Hibbur ha-Meshihah ve-ha-Tishboret http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Abraham.html

Abraham bar Hiyya Ha-Nasi Born: 1070 in Barcelona, Spain Died: 1136 in Provence, France Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Abraham bar Hiyya was a Spanish Jewish mathematician and astronomer. In the Hebrew of his time 'Ha-Nasi' meant 'the leader' but he is also known by the Latin name Savasorda which comes from his 'job description' showing that he held an official position in the administration in Barcelona. Abraham bar Hiyya is famed for his book Hibbur ha-Meshihah ve-ha-Tishboret (Treatise on Measurement and Calculation), translated into Latin by Plato of Tivoli as Liber embadorum in 1145. This book is the earliest Arab algebra written in Europe. It contains the complete solution of the general quadratic and is the first text in Europe to give such a solution. Rather strangely, however, 1145 was also the year that al-Khwarizmi 's algebra book was translated by Robert of Chester so Abraham bar Hiyya's work was rapidly joined by a second text giving the complete solution to the general quadratic equation. It is interesting to see the areas of mathematics and the mathematicians with which Abraham was familiar. Of course he knew geometry through the works of

7. Abraham Bar Hiyya --  Encyclopædia Britannica abraham bar hiyya Encyclopædia Britannica Article. MLA style abraham bar hiyya. Encyclopædia Britannica. 2004. Encyclopædia Britannica Premium Service. http://www.britannica.com/eb/article?eu=3417&tocid=0&query=abraham bar hiyya&ct=

8. Abraham Bar Hiyya --  Encyclopædia Britannica Encyclopædia Britannica, abraham bar hiyya Encyclopædia Britannica Article. To citethis page MLA style abraham bar hiyya. Encyclopædia Britannica. 2004. http://www.britannica.com/eb/article?eu=3417

9. Abraham Bar Hiyya -the Man And His Work Between Two Worlds From his several scientific works we know of his extensive knowledge ofmathematics, astronomy and other sciences, including their practical applications toproblems like calendars and landsurveying . http://www.abo.fi/~htoyryla/abh.pdf

10. Abraham abraham bar hiyya HaNasi. Born 1070 in Barcelona, Spain Died 1136 in Provence,France. abraham bar hiyya was a Spanish Jewish mathematician and astronomer. http://homepages.compuserve.de/thweidenfeller/mathematiker/Abraham.htm

Abraham bar Hiyya Ha-Nasi Born: 1070 in Barcelona, Spain Died: 1136 in Provence, France Abraham bar Hiyya was a Spanish Jewish mathematician and astronomer. His name is Hebrew for 'the prince' but he is also known by the Latin name Savasorda which comes from his 'job description' showing that he held an official position in the administration in Barcelona. Abraham bar Hiyya is famed for his book Hibbur ha-Meshihah ve-ha-Tishboret (Treatise on Measurement and Calculation), translated into Latin by Plato of Tivoli as Liber embadorum in 1145. This book is the earliest Arab algebra written in Europe. It contains the complete solution of the general quadratic and is the first text in Europe to give such a solution. Rather strangely, however, 1145 was also the year that al-Khwarizmi 's algebra book was translated by Robert of Chester so Abraham bar Hiyya's work was rapidly joined by a second text giving the complete solution to the general quadratic equation. It is interesting to see the areas of mathematics and the mathematicians with which Abraham was familiar. Of course he knew geometry through the works of Euclid , but he also knew the contributions to geometry from other Greek texts such as Theodosius 's Sphaerics in three books

11. [HM] Some Leaves From The Scientific Jewish Bookcase By AVINOAM MANN Tsaban (BarIan University) The area of the circle according to R. abraham bar hiyya. 13 - Lunch break R. Avraham bar Hiyya - 11 century. The "tashbetz" was written by R http://mathforum.com/epigone/historia/khennoostend

[HM] Some Leaves from the Scientific Jewish Bookcase by AVINOAM MANN reply to this message post a message on a new topic Back to historia Subject: [HM] Some Leaves from the Scientific Jewish Bookcase Author: MANN@vms.huji.ac.il Date: The Math Forum

12. Webpage ABRHAM BAR HIYYA NASI PAGE ONE abraham bar hiyya was a Spanish Jewishmathematician and astronomer. In the Hebrew of his time Ha http://www.k12.nf.ca/discovery/curriculum/math/famous/pageone.htm

ABRHAM BAR HIYYA NASI PAGE ONE Abraham bar Hiyya was a Spanish Jewish mathematician and astronomer. In the Hebrew of his time 'Ha-Nasi' meant 'the leader' but he is also known by the Latin name Savasorda which comes from his 'job description' showing that he held an official position in the administration in Barcelona. Abraham bar Hiyya is famed for his book Hibbur ha-Meshihah ve-ha-Tishboret (Treatise on Measurement and Calculation), translated into Latin by Plato of Tivoli as Liber embadorum in 1145. This book is the earliest Arab algebra written in Europe. It contains the complete solution of the general quadratic and is the first text in Europe to give such a solution. Rather strangely, however, 1145 was also the year that al-Khwarizmi's algebra book was translated by Robert of Chester so Abraham bar Hiyya's work was rapidly joined by a second text giving the complete solution to the general quadratic equation. It is interesting to see the areas of mathematics and the mathematicians with which Abraham was familiar. Of course he knew geometry through the works of Euclid, but he also knew the

13. Home Page abraham bar hiyya HaNasi HOME PAGE. . This web page is what I haved learnedform the web about the famous mathmetition abraham bar hiyya Ha - Nasi . http://www.k12.nf.ca/discovery/curriculum/math/famous/homepage.htm

Abraham Bar Hiyya Ha-Nasi HOME PAGE This web page is what I haved learned form the web about the famous mathmetition Abraham Bar Hiyya Ha - Nasi . This information was taken from search engines such as google,yahoo,hotbot. If you have any questions comments or suggestions about this web page click on the link below. Links: . page one page two page three

14. Carlo Suares: Revived Qabala: Lexicon: Tohu Ve Bohu (Tohu We-Bohu) Revived Qabala Genesis Lexicoxn Tohu Ve Bohu Substance and Form Carlo Suares, Cipher of Genesis 22 22 abraham bar hiyya, Hegyon haNefesh reflections on tohu and bohu in sections 2 http://www.7spheres.com/psyche/lex/tohubohu.html

Tohu Ve Bohu Gematria: 430 Ve Ha-Eretz Ha-Ita Ha-Tohu Ve-Bohu Ve- Hhoshekh Al-Phani Tehoum Tehoum ... Ve Ha Eretz abyss on the face and darkness and waste desolation being and the earth And the earth was without form and void; and darkness was upon the face of the deep vehâ'ârets hâyethâh thohu vâbhohu vechoshekh `al-penêy thehom What then is the aspect of these container-elements in which Aleph is buried? The life in them simply swarms, uncontrolled, in a state of (says the verse) "Tohu and Bohu", which is a whirlpool of life, not limited to the planet earth, but cosmically including all that exists in the Universe. And, at "the face of its very self", in its very "deepness", that chaos it totally fecund, abundant, prolifically fertile. Such is the "darkness" referred to in the accepted translation. And such is the true meaning of the first part of the second verse concerning Eretz, the so-called earth: that in which Aleph is concealed. Suares, Cipher of Genesis, p.81 2. Rabbi Berachiah said: It is written (Genesis 1:2), "The earth was Chaos (

15. Commentary Magazine - Judaism As A Philosophy: The Philosophy Of Abraham Bar Hiy Judaism as a Philosophy The Philosophy of abraham bar hiyya, byLeon Stitskin. Eckstein, Jerome. AN INTEREST AND importance that http://www.commentarymagazine.com/Summaries/V34I2P88-1.htm

var AID="03402088_1"; Judaism as a Philosophy: The Philosophy of Abraham Bar Hiyya, by Leon Stitskin Eckstein, Jerome AN INTEREST AND importance that it might otherwise not have had is given to this work by the "imprimatur" it bears of the Yeshiva University-the first time the school has chosen to extend such... ...Similarly, he never comes to grips with the problem of evil in a world ruled by an omnipotent God, missing the opportunity, with both of these issues, for an imaginative, unrestricted, and courageous attempt at solution which is provided in his own observation: By the 11th century there were other prob- lems that required elucidation, such as free will and determinism, the essence of God, His unity and justice, suffering and evil in the world-but those questions could be resolved either way, as the bibli- cal and talmudic sources were not alto- gether clear on the subjects... ...All of which can only be regarded as historical nonsense... ...Professor Stitskin's method, in short, permits him to evade the stubbornly perplexing, but central, problems of the philosophy of religion... ...Yet such an assertion can be accepted only by those who are unwilling to question any of the "premises" of the Torah and will go to all lengths to "reinterpret" the Bible to "meet" contrary aspects of experience...

16. Hispánica Hombres y asuntos de España. mesiánica, probablemente influido por el científico abraham bar hiyya que la había calculado para 1135 judío, aunque ya la utilizó abraham bar hiyya. Para los musulmanes, la http://www.poesiadelmomento.com/hispanica/22judioperson.html

Índice general de Hispánica Maimónides Indice Judah Ha-Levi Maimónides Benjamín de Tudela Avicebrón ... Abraham ben Meir ibn Ezra. YEHUDAH DEN SAMUEL HALEVI F. DÍAZ ESTEBAN Editorial Rialp. Gran Enciclopedia Rialp, 1991 El Cuzarí http://usuarios.iponet.es/ddt/yehuda.htm La fuente de la inmortalidad: http://www.sefarad.org/publication/lm/030/rios.html (Indice) Maimónides EL FILOSOFO Fue, probablemente junto con Yehuda Halevi, el más grande filosofo judío del medioevo. En esa época el pensamiento filosófico era , en general, o bien aristotélico o bien platónico. Maimónides sigue los principios de Aristóteles. Es importante tener en cuenta el ambiente en que surge este personaje, que corresponde a la llamada España de Oro. Ahí se encuentran tres grandes religiones monoteístas; lo que dio lugar, como ocurre en estos casos, a la confrontación de conceptos y experiencias. El Cristianismo, el Islamismo y el Judaísmo confluyen en la España Medieval, creando para los judíos un marco distinto al histórico, al menos al del período bíblico. En la Edad Media el pensamiento filosófico judío trató de armonizar dos cosas fundamentales: la tradición bíblica y el pensamiento helénico clásico. ACERCA DE SUS ESCRITOS Además de las notas insertas en el texto central, agregamos aquí comentarios respecto a algunos de sus escritos que nos parecen interesantes:

17. Biografia De Abraham Bar Hiyya Translate this page abraham bar hiyya. (c. 1065- c. 1136) Astrónomo y geómetra judeoespañol.Escribió y tradujo numerosas obras con el fin de difundir http://www.biografiasyvidas.com/biografia/a/abraham_bar_hiyya.htm

Inicio Buscador Utilidades Recomendar sitio Enlaces Abraham Bar Hiyya c. c. 1136) Astrónomo y geómetra judeoespañol. Escribió y tradujo numerosas obras con el fin de difundir la ciencia árabe en el mundo occidental. Autor de tratados de astronomía, geometría y óptica. Inicio Buscador Recomendar sitio

18. História Da Matemática Na Europa abraham bar hiyya e Abraham ben Erza http://www.malhatlantica.pt/mathis/Europa/Europa.htm

Referências Bibliográficas Autores História da Matemática na Europa Ocidental Época Medieval Quando da queda do Império Romano Ocidental, em 476, devido às invasões Bárbaras, a Igreja Católica que se tinha expandido e organizado, durante o Império Romano, conseguiu manter o tipo de vida e organização social que tinham imperado durante o Império Romano. Muitos dos reis Bárbaros, acabaram, mesmo, por se converter ao catolicismo. Nos mosteiros, os monges copistas dedicaram-se à tradução de alguns autores da Antiguidade Clássica. Também alguns leigos, dedicaram-se aos estudos dos antigos autores como foi o caso de Boécio (480 - 524), cuja aritmética foi fonte, durante cerca de um milhar de anos, para o ensino que se praticava nas escolas ligadas à igreja. Nos séculos VII e IX, uma nova vaga de invasões assolou a Europa Ocidental, que provocou profundas alterações na sociedade. As populações fogem das cidades e refugiam-se nos campos, dando-se início a uma sociedade do tipo feudal. Os muçulmanos invadem a Península Ibérica em 711 e os Vikings iniciam, em 787, a sua invasão da Bretanha.

19. Abraham Bar Hiyya Ha-Nasi - Encyclopedia Article About Abraham Bar Hiyya Ha-Nasi Abraham Clark encyclopedia article about Abraham Clark. Free Abraham Clark. Word Word. Abraham Clark (February 15 February 15 is the 46th dayof the year in the Gregorian Calendar. http://encyclopedia.thefreedictionary.com/Abraham bar Hiyya Ha-Nasi

Dictionaries: General Computing Medical Legal Encyclopedia Abraham bar Hiyya Ha-Nasi Word: Word Starts with Ends with Definition Abraham bar Hiyya Ha-Nasi Centuries: 10th century - 11th century - 12th century Decades: 1020s 1030s 1040s 1050s 1060s - Years: 1065 1066 1067 1068 1069 - Events Hereward the Wake begins a Saxon revolt in the Fens of eastern England. Lanfranc, an Italian lawyer, becomes William's formidable Archbishop of Canterbury. Central Asian poet Yusuf Balasagun completed Kutadgu Bilig Bergen, Norway founded by king Olav Kyrre. Click the link for more information. Centuries: 11th century - 12th century - 13th century Decades: 1080s 1090s 1100s 1110s 1120s - Years: 1131 1132 1133 1134 1135 - Events Beginnning of construction of the Saint Denis Basilica Births Deaths Click the link for more information. ) was a Spanish The Kingdom of Spain is a country located in the southwest of Europe. It shares the Iberian Peninsula with Portugal and Gibraltar. To the northeast, along the Pyrenees mountain range, it borders France and the tiny principality of Andorra. It includes the Balearic Islands in the Mediterranean Sea, the Canary Islands in the Atlantic Ocean, the cities of Ceuta and Melilla in the north of Africa, and a number of minor uninhabited islands on the Mediterranean side of the strait of Gibraltar, such as the Chafarine islands, the "rocks" (es: Click the link for more information.

20. Biblioteca De Ciències I D'Enginyeries abraham bar hiyya Ha-nasi Llibre de geometria http://www.bib.uab.es/ciencies/expo/expomillas.htm

Llista d'obres exposades: Abraham Bar Hiyya Ha-nasi Al-Din Al-Kashi, Jamshid Ghiyath The Planetary equatorium / of Jamshid Ghiyath Al-Din Al-Kashi ; with translation and commentary by E.S. Kennedy. Princenton : Princenton University Press, 1960 Al-Khuwarizmi, Muhammad ibn Musa The Astronomical tables of Al-Khwarizmi / translation with commentaries of the latin version edited by H. Suter supplemented by Corpus Christie MS 283 by O. Neugebauer. Kobenhavn : Ejnar Munksgaard, 1962 Al-Zayyat, Ishaq ibn al-Hasan Baldi, Bernardino Vite di matematici arabi / tratte da un'opera inedita di Bernardino Baldi ; con note di M. Steinschneider. Roma : Tipografia delle Scienze Matematiche e Fisique, 1874 Bar Hiyya, Abraham Bensaude, Joaquim Cantor, Moritz Critchlow, Keith Islamic patterns : an analytical and cosmological approach / Keith Critchlow. Repr. London : Thames and Hudson, 1989 D'Hollander, Raymond Encyclopedia of the history of Arabic science / edited by Roshdi Rashed. London : Routledge, 1996 Glick, Thomas F.

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