21. História Da Matemática Na Europa - Abraham Ben Hiyya Translate this page História da Matemática na Europa Ocidental. abraham bar hiyya (1092 -1167). abrahambar 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?

22. 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.

23. 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.

24. Biblioteca De Ciències I D'Enginyeries Translate this page - barcelona Instituto Millás Vallicrosa de Historia de la Ciencia Árabe, 1996Humanitats- 1a planta 51(=927) Fro 1500723795 V.2 bar hiyya, abraham La Obra http://www.bib.uab.es/ciencies/expo/autormillas.htm

Podeu consultar la seva bibliografia en el recull: Nota Vernet, Joan Humanitats- 1a planta 001(46)"09/14" Ver 1500044393 Humanitats- 1a planta 22=499 Bib 1500452546 V.1 Humanitats- 1a planta 22=499 Bib 1500452545 V.2 Humanitats- 1a planta 22=499 Bib 1500452586 V.8 Graf, Pablo Abadal i de Vinyals, Ramon d' Homenaje Humanitats- 1a planta 51(467.1)"04/14" Mil 1500248457 From Humanitats- 1a planta 51(=927) Fro 1500723795 V.2 Bar Hiyya, Abraham Llull, Ramon Abraham Bar Hiyya Ha-nasi Ibn Ezra, Abraham ben Meir Ochava Bar Hiyya, Abraham Ibn Asim Humanitats- 1a planta 521 Ibn 1500078825 De Humanitats- 1a planta 523.1"12" De 1500044380 Bar Hiyya, Abraham Ibn al-Raqqam, Muhammad ibn Ibrahim al-Awsi Humanitats- 1a planta 1500724191 Mas i Solench, Josep M. Humanitats- 2a planta 860.5.09"04/14" Mil 1500067334 Humanitats- 2a planta 892.4"10" Ibn 1500537383 Al-Zayyat, Ishaq ibn al-Hasan

25. Biblioteca De Ciències I D'Enginyeries bar hiyya, abraham La Obra 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.

26. Abraham Educators, Scholars, and Social Workers Ibrahim anNazzam (775-845) Muslimtheologian. abraham bar hiyya (1065-1136) Spanish Jewish philosopher. http://www.geocities.com/edgarbook/names/a/abraham.html

27. Traductorestoledo Translate this page que llevaba produciendo frutos muy valiosos desde tiempos anteriores con nombrescomo Pedro Alfonso (Mosé Sefardí), abraham bar hiyya o abraham ibn Ezra http://www.geocities.com/CapitolHill/Lobby/2679/traductorestoledo.htm

Escuela de traductores de Toledo

28. Facoltà Di Filosofia - Aa 2001-2002 (Isaac Israeli,Shelomoh Ibn Gabirol, abraham bar hiyya, abraham Ibn Ezra http://www.filosofia.uniroma1.it/didattica/2001-2002/insegnamenti/storiafilosofi

home generale didattica percorsi ... sort Didattica Programmi A.A. 2003-2004 Insegnamenti annuali Insegnamenti semestrali A.A. 2002-2003 A.A. 2001-2002 Orari lezioni primo semestre Insegnamenti annuali Insegnamenti semestrali Orari lezioni secondo semestre Insegnamenti annuali Insegnamenti semestrali Sessioni d'esame Insegnamenti annuali Insegnamenti semestrali Tesi di laurea Regolamento Anno accademico STORIA DELLA FILOSOFIA EBRAICA docente Mauro Zonta settore M-FIL/06 PROGRAMMA DEL CORSO TEMA DEL CORSO Tema generale: La filosofia ebraica nel Medioevo Tema del modulo del primo semestre: Linee storiche della filosofia ebraica medievale Tema del modulo del secondo semestre: Testi e contesti del pensiero ebraico medievale NUMERO DEI CREDITI PER SEMESTRE: PRESENTAZIONE DEI MODULI IN CUI SI ARTICOLA IL CORSO: Modulo 2: Lettura antologica, in traduzione italiana, e commento, con introduzione storica, di passi di Isaac Israeli, Shelomoh Ibn Gabirol, Abraham bar Hiyya, Maimonide, Gersonide, e i filosofi ebrei del Quattrocento. PROGRAMMA D' ESAME Programma I modulo insegnamento: C.SIRAT

29. Carlo Suares Revived Qabala Lexicon Tohu Ve Bohu (Tohu We-Bohu) in Genesis 12 at the beginning of the Bahir can definitely be said to be borrowedfrom the writings of the Jewish Neoplatonist abraham bar hiyya, who wrote http://www.psyche.com/psyche/lex/tohubohu.html

30. Preliminary Index To FSP, The Toledan Tables, Copenhagen 2002 165r175r abraham Avenezra, De mundo vel saec 101b 23 for Toulouse, connected withabraham bar hiyya ( Savasorda , 13v 101b 35 not located, attributable to http://www.igl.ku.dk/~fsp/tables/tt-extras/pr06-idx.txt

t 141a 40 use of an equatorium: " d evidentia , Algorismus 097a 20 (p. 207a-246). (Cat.:) p.1-: Alexander de Villadei, Algorismus, 181b 48 , fnugo, Dionysius. 61r-66v: Alexander de Villadei, Algorismus: 094b 22 r ms., 13th-14th c. 47r-50v: Alexander de Villadei, "Haec algori 104a 56 a, note on AD 1413. 65v-74v: , #173b Quadrant c.48-58: 119a 14 mentioned. 226v, "Wilhelmus Anglicus affroncionis (?) dictus" c 111a 7 iscopi". 28rb-30va: Ricardus Anglicus, Algorismus minutiarum: (h 140a 14 b. 15r, eclipse calculation: "Anglicus. Anno domini 1232 imperfe 185a 4 alculi". 42ra-52v: Guilelmus Anglicus, Astrologia Marsiliensis: 158a 39 netarum". 111vb-: Guillelmus Anglicus, Astrologia W. Marsiliensi 113b 43 14th c. 91r-106v: , comm. on Sacrobosco, Sp 140b 45 ly 31)". 142v-166r: Robertus Anglicus, comm. on Sacrobosco, Spha 110a 32 olabii"). 86r-93r: , Old Quadrant. - 59rb-61r 170a 33 ". 43ra-46v(-49v): , Old Quadrant, constructi 093a 6 Compotus. 56v-62r: Robertus Anglicus, Old Quadrant: "Geometrie" 118a 15 ius". 176va-179vb: , Old Quadrant: (h:t, "sec 111a 43 tur". 169vb-172vb:

31. Mathem_abbrev Babbage, Charles Bachet de Méziriac, C Baghdadi, Abu al Banna, alMarrakushi alBanu Musa brothers bar hiyya, abraham barrow, Isaac Battani, Abu al- Bayes http://www.pbcc.cc.fl.us/faculty/domnitcj/mgf1107/mathrep1.htm

Mathematician Report Index Below is a list of mathematicians. You may choose from this list or report on a mathematician not listed here. In either case, you must discuss with me the mathematician you have chosen prior to starting your report. No two students may write a report on the same mathematician. I would advise you to go to the library before choosing your topic as there might not be much information on the mathematician you have chosen. Also, you should determine the topic early in the term so that you can "lock-in" your report topic!! The report must include: 1. The name of the mathematician. 2. The years the mathematician was alive. 3. A biography. 4. The mathematician's major contribution(s) to mathematics and an explanation of the importance. 5. A historical perspective during the time the mathematician was alive. Some suggestions on the historical perspective might be: (a) Any wars etc. (b) Scientific breakthroughs of the time (c) Major discoveries of the time (d) How did this mathematician change history etc.

32. Sages Rabbenu Tam). Benjamin of Tudela. abraham bar hiyya. Maimonides (RabbiMoses Ben Maimon). Nachmanides (Rabbi Moshe Ben Nachman). Meir http://www.normativejewishthought.com/Sages.html

Home Shammai Hillel Philo of Alexandria Gamaliel I Yavneh/Jamnia Yochanan Ben Zakkai Gamaliel II Rabbi Akiba Ben Joseph Rabbi Judah Ha-Nasi Mishnah edited Rabbi Yitzhak Bar Maryon Palestinian Talmud edited Babylonian Talmud edited Yehudai Ben Nachman Karaism founded Amram Ben Sheshna Eldad Ha-Dani Saadia Gaon Sherira Bar Channina Hasdai Ibn Shaprut Aaron Ben Moses Ben Asher Hai Ben Sherira Nathan Ben Yechiel Isaac Ben Jacob Alfasi (Rif) Solomon Ibn Gabirol Isaac Abalia Isaac Ben Judah Ibn Ghayyat Rashi (Rabbi Solomon Ben Isaac) Meir Ben Samuel Judah HaLevi Samuel Ben Meir (RaSHBAM) Abraham Ibn Ezra Jacob Ben Meir (Rabbenu Tam) Benjamin of Tudela Abraham Bar Hiyya Maimonides (Rabbi Moses Ben Maimon) Nachmanides (Rabbi Moshe Ben Nachman) Meir Ben Baruch Solomon Ben Abraham Adret Moses Ben Shem Tov De Leon Abraham Abulafia Jacob Ben Asher (Ba'al Tur) Levi Ben Gerson The Zohar written Bahya Ben Asher Hasdai Crescas Moses Botarel Don Isaac Ben Judah Abarbanel Rabbi Ovadiah Sforno Joseph Karo Solomon Ben Moses HaLevi Alkabetz Isaac Ben Solomon Luria Hayyim Vital Shulchan Aruk published David Ben Solomon Ibn Abi Zimra Nathan of Gaza Jonathan Eybeschuetz Jacob Emden Baal Shem Tov (Rabbi Israel Ben Eliezer) Moses Hayyim Luzzatto Elijah Ben Solomon Zalman Moses Mendelssohn Rabbi Nachman of Breslov Leon Pinsker Yisrael Meir HaKohen Kagan Abraham Isaac Kook Menachem Mendel Schneerson Jewish Sages/Scholars 50 BCE - 30 CE 70 BCE - 10 CE 13 BCE - 41 CE ca. 40 CE

33. Quotations By Abraham Quotations by abraham bar hiyya HaNasi. Who wishes corectly to learnthe ways to measure surfaces and to divide them, must necessarily http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZ471F.htm

Quotations by Abraham bar Hiyya Ha-Nasi Who wishes corectly 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 Close this window or click this link to go back to Abraham Welcome page Biographies Index History Topics Index Famous curves index ... Search Suggestions JOC/EFR August 1998 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Quotations/Abraham.html

34. References For Abraham References for abraham bar hiyya HaNasi. Biography in Dictionary of ScientificBiography (New York 1970-1990). Biography in Encyclopaedia Britannica. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZ4632.htm

References for Abraham bar Hiyya Ha-Nasi Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: F Baer, Die Judem im Christlichen Spanien (Berlin, 1929). Close this window or click this link to go back to Abraham Welcome page Biographies Index History Topics Index Famous curves index ... Search Suggestions JOC/EFR January 1997 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Abraham.html

35. Adventures In Philosophy: A Brief History Of Jewish Philosophy c. 937). Solomon Ibn Gabirol (c.1021 c. 1058). abraham bar hiyya (c. 1065- 1136). Bahya Ibn Pakuda (c. 1050). Judah Halevi (c. 1080 - 1140). Essay. http://radicalacademy.com/adiphiljewishindex.htm

Adventures in Philosophy JEWISH PHILOSOPHY - INDEX Select a Category... Ancient Philosophy Medieval Philosophy Modern Philosophy Recent Philosophy American Philosophy Islamic Philosophy Jewish Philosophy Political Philosophy 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 TABLE OF CONTENTS Philosophers Philo Judaeus (c. 25 B.C. - c. 50 A.D.) Saadia David Ibn Merwan Al-Mukammas (? - c. 937) Solomon Ibn Gabirol (c.1021 - c. 1058) Abraham Bar Hiyya (c. 1065 - 1136)

36. Jewish Astronomy The scene now shifts to Spain, where abraham bar hiyya Hanasi ( The Prince ) ofbarcelona (d. 1336) improved on these tables, using calculations performed by http://www.stormpages.com/swadhwa/hofa/ja.html

Astronomy in Israel Suggested Text Astronomy of Levi Ben Gerson, 1288-1344... MEGALITHS Prehistoric astronomical activity is represented by a Stonehengelike megalithic circle and "Observatory" at Rujm-el-Hiri , near Yonathan in the Golan, the Westernmost sector of the historical Bashan plateau dating from the IIIrd Millenium BC. Star worship is mentioned in the Old Testament as beeing common among the Canaanites, but the Bashan inhabitants who built that Golan megalithic circle antedate the Canaanites. Very little is known about them and the presumably religous role of their edifice. To the IIIth Century BC Israelitis, they appeared as the work of giants (Refa'im, also Anakim, Emim, Zuzim), and this is probably the source of the legends about races of giants that had lived in Eretz-Israel prior to the Israelite conquest - including the characterization "a remnant of the giants" for Og , King of Bashan, in Deuteronomy and Joshua. Indeed, the Rujm-el-Hiri circle is just one among many megalithic remains in the Bashan, probably at the origin in Greece and England (the "Giant's Dance" = Stonehenge). ASTRONOMY IN THE MISHNA The Israelitis' abstract monotheism and their centering of intellectual creativity on ethical issues were detrimental to a natural development of observational science, as did happen in Sumeria or Greece. However, the requirements of agriculture induced a cycle of holidays that were incorporated in time into Judaism and were given Ethnical or National religious significance. There thus developed a need for an understanding of the recurrence of seasons and for a synchronized calendar fitted to Solar, Lunar and Sidereal time. Several of the Mishnaic scholars were versed in Astronomy, such as the "Tannaim"

37. About "História Da Matemática" Translate this page Biografías incluem abraham bar hiyya, abraham ben Erza, Alcuino de York, Ananiade Shirak, Aryabhata I, Bhaskara II, Leonardo de Pisa, Levi ben Gershon, e http://mathforum.org/library/view/62519.html

Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www.malhatlantica.pt/mathis/ Author: Description: Levels: Middle School (6-8) High School (9-12) Languages: Portuguese Resource Types: Reference Sources Math Topics: History and Biography Home The Math Library Quick Reference ... Contact Us http://mathforum.org/

38. Re: Abraham Ben Ezra + Hebrew Alphanumerics By Antreas P. Hatzipolakis 8399 (1996). A survey of mathematical authors, with special attentionto abraham bar hiyya and abraham ibn Ezra. \{As far as Misnat http://mathforum.org/epigone/math-history-list/swolbringmou/v01540B02B19C9AAE0B4

Re: Abraham ben Ezra + Hebrew alphanumerics by Antreas P. Hatzipolakis reply to this message post a message on a new topic Back to messages on this topic Back to math-history-list Subject: Re: Abraham ben Ezra + Hebrew alphanumerics Author: xpolakis@hol.gr Date: http://members.aol.com/lieberk/welcome.html http://www.mailbase.ac.uk/lists/italian-studies/ The Math Forum

39. AAC Database - Browse - List 1, abraham and Isaac plays. 2, abraham bar Hayya See abraham bar hiyyaSavasorda,ca. 1065ca. 1136. 1, abraham bar hiyya, ca. 1065-ca. 1136. http://valeph.tau.ac.il/ALEPH/ENG/TAU/AAC/AAC/SCAN-F/0048859

Sourasky Central Library Browse - AUTHOR list - ALL DOCUMENTS The numbers in the list below indicate the number of documents listed under a term. To display the documents, click on an eye . To move up or down the list, click on the arrow. Abrabanel, Judah, 1460-1521 Abraben, E. Abraben, Manny See: Abraben, E. Abragam, A. Abraham, 1821-1885 See: White, Richard Grant,1821-1885 the Abraham and Edita Spiegel Chair in Holocaust Research See: >Qatedra leheqer ha-shoa al-shem Abraham Weedita Spiegel Abraham and Edita Spiegel Family Foundation Chair in European Jewish History See: >Qatedra lehistorya shel Yahadut eropa al-shem Qeren Mishpahat Abraham Weedita Spiegel Abraham and Isaac plays Abraham Bar Hayya See: Abraham Bar Hiyya Savasorda,ca. 1065-ca. 1136 Abraham Bar Hiyya, ca. 1065-ca. 1136 Abraham Bar Hiyya Savasorda, ca. 1065-ca. 1136 Abraham Bar Lipheh, 7th cent.

40. BOOK Biographical Encyclopedia of Astronomers ( Dordrecht Kluwer, publication plannedfor 200?). “abraham bar hiyya”. “Dunash Ibn Tamim”. “alKhiraqi”. http://www.biu.ac.il/HU/ar/publications_lang.htm

BOOKS îùâá éøåùìéí. éøåùìéí úùî"æ, 187 òî'. Ibn al- Haytham’s On the Configuration of the World, Garland Publishing, New York and London , 1990, 280+97 pp. Yemenite Midrash Philosophical Commentaries on the Torah. An Anthology of Writings from the Golden Age of Judaism in the Yemen Harpercollins Publishers, 1996, 351 pp. The Jews and the Sciences in the Middle Ages Variorum Collected Studies Series. Ashgate Publishing Ltd., Aldershot , 1999, 346 pp. BOOKS EDITED Shlomo Pines Studies in Islamic Atomism , translated from the German by Michael Schwarz, edited by Tzvi Langermann Magnes Press, Jerusalem , 1997, 212 pp. Science in Context , vol. 10, no. 3, Judaism and the Sciences , edited by Y. Tzvi Langermann (guest editor) and Snait Gissis ARTICLES “A Note on the Use of the Term orbis falak in Ibn al- Haytham’s Maqala fi Hay’at al-’ alam Archives internationales d’histoire des sciences “The Mathematical Writings of Maimonides Jewish Quarterly Review, “The Book of Bodies and Distances of Habash al- Hasib Centaurus “ñôø 'îèä òåæ' ìø' éöç÷ âàåï". ëøê ö"ç, úùî"å, øèå-øëá.

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