21. Waukegan Public Library /All Locations 15th Cent 1 Abrabanel Isaac 1437 1508 See Abravanel Isaac 1437 1508 1 AbrahamAbram Kenneth See Abraham Ken 1 Abraham Bar Hayya savasorda Ca 1065 Ca http://catalog.waukeganpl.org:90/kids/0,10,156/search/a?Abraham ben Simeon, of W

22. Waukegan Public Library /All Locations Mark No matches found; nearby AUTHORS are Year Entries Savary Claude Ph D 1996 1Savary Fabien 6 Savary Louis M 1981 1 savasorda Abraham Bar Hiyya Ca 1065 Ca http://catalog.waukeganpl.org:90/kids/0,1899,1901/search/a?Save the Children Fun

23. Brooklyn Public Library /All Locations 1065ca. 1136 See Abraham bar Hiyya savasorda, ca. 1065-ca. 1065-ca.1136 See Abraham bar Hiyya savasorda, ca. 1065-ca. 1136 1. http://catalog.brooklynpubliclibrary.org:90/kids/10,947,389/search/dAbrahams, Ha

KEYWORD AUTHOR TITLE SUBJECT Mark Nearby SUBJECTS are: Year Entries Abraham (Patriarch) See Abraham (Biblical patriarch) Abraham Sudæus, ca. 1065-ca. 1136 See Abraham bar Hiyya Savasorda, ca. 1065-ca. 1136 Abraham, the Patriarch See Abraham (Biblical patriarch) Abraham, the Poet, 1092-1167 See Ibn Ezra, Abraham ben Meïr, 1092-1167 Abraham, the Spaniard, 1092-1167 See Ibn Ezra, Abraham ben Meïr, 1092-1167 Abrahams, Harold J. Abrahams, Harold Maurice, 1899- Abrahams, Harold Maurice, 1899- Drama Video recordings. ... Abrahams, Peter, 1919- Criticism and interpretation. Abrahams, Peter Henry, 1919- See Abrahams, Peter, 1919- Abrahamus Hispanus, ca. 1065-ca. 1136 See Abraham bar Hiyya Savasorda, ca. 1065-ca. 1136

24. Toledo And All That to the Barcelona of around 1145, we find another Italian, Plato Tiburnensis (of Tivoli),translating with the help of the Jewish 'interpreter' Abraham savasorda http://www.fut.es/~apym/toledo.html

Negotiating the Frontier (unpublished work in progress) Toledo and All That [An earlier version of this chapter was published as "Twelfth-Century Toledo and Strategies of the Literalist Trojan horse", Target 6/1 (1994), 43-66.] In asking this question, I am not really interested in whether there was a 'School of Toledo' in any capital-letter sense of the term, which is a matter for historians of glory. My concern is more literal and lower-case: What relation could there have been between translation and a little actual schooling, in the sense of teaching and learning things Arabic? My working hypothesis is that any translating associated with pedagogical activities must have been in some way related to the church. The principles of the translating might thus be sought in this relation. Further, if there was tension in the relation, the principles might be formulated in terms of a negotiation, hopefully in the form of a much better negotiation than anything the abbot of Cluny was able to achieve. What's in a School?

25. Hispanic Translation History, 12th Century 1145 Robertus Ketenensis, in Segovia, translates alKhwarizmi's Algebra. 1145 PlatoTibernensis, in Barcelona, translates Abraham savasorda's Liber Embadorum. http://www.fut.es/~apym/on-line/chronology/12.html

ATTEMPT AT A CHRONOLOGY OF HISPANIC TRANSLATION HISTORY TWELFTH CENTURY 1106 Petrus Alfunsis (Alfonsi), in Huesca, is converted from Judaism to Christianity at the age of 44. 1108 Petrus Alphunsis writes Dialogi contra Judaeos. 1108 Beginnings of the Pisan quarter in Antioch. 1110 Petrus Alphunsis visits England, where he is probably physician to Henri I Beauclerc. 1112 Petrus Chrysolanus (archbishop of Milan), in Constantinople, disputes before Emperor Alexis. 1114 Johannes Afflacius ('the Saracen') and Rusticus (physician), in Pisa, translate Ali ben Abbas's De chirurgia. 1114-15 'iohannes quidam agarenus (Saracenus?) quondam' translates part of Ali ibn Abbas's Practica. c.1115 Adelardus de Bada (of Bath) writes Liber ysagogarum Alchorismi. 1116 Petrus Alphunsis writes Sentencia de dracone. 1118 Christians take Zaragoza. 1119 The university of Bologna is founded. 1119-51 Michael (probably French) is bishop of Tarazona, which has just been taken from the Arabs. He seeks Arabic texts on astrology and divination and sponsors their translation into Latin by Hugo Sanctillanus. 1120 Walcher, prior of Malvern, translates into Latin a work on astronomy by Petrus Alphunsis.

26. Manuscript Detail 2569. The author quotes the earlier calendar tables of Abraham bar Hiyya (savasorda)(Barcelona, dc 1136, the earliest Hebrew scholar to write on Ptolemaic http://dewey.library.upenn.edu/sceti/ljs/PageLevel/view.cfm?option=view&ManID=lj

27. Encyclopædia Britannica He is sometimes known as savasorda, a corruption of an Arabic term indicatingthat he held some civic office in the Muslim administration of Barcelona. http://www.britannica.com/eb/article?eu=3417

28. La Ciencia Hispano-árabe / Margarita Bernis / Temas Españoles 235 / Madrid 195 Translate this page países. De esta época son Pedro Alfonso, el aragonés, y savasorda,procedente de una corte de Taifas aragonesa o catalana. Pedro http://www.filosofia.org/mon/tem/es0235.htm

filosofia.org Margarita Bernis Los primeros tiempos El esplendor de Bagdad En el siglo IX Bagdad Disciplina clericalis Puras Aplicadas Puras Historia natural Aplicadas Medicina Talismanes Encantos Alquimia o el l l l La Alquimia, la piedra filosofal y el laboratorio moderno piedra filosofal, elemento, (Ben Hazam, siglo XI) Los invasores Ben extranjera en Occidente, alejada de tu patria. Las mil y una noches Abulcasis, el cirujano Tasrif La escuela de Maslama, de Madrid Decadencia y esplendor de las cortes de Taifas safea, tipo de astrolabio inventado por Azarquiel; el de la Tablas Toledanas, Maestros y traductores en los reinos cristianos Doctrina Clericalis, abe Teisir, Teisir Tu hermano gemelo descansa en la tumba. a salir luminosa y brillante que diga a las gentes el dolor que su muerte te causa, tu tristeza, tu pena profunda? Averroes Colliget , compendio de medicina general, que en los siglos posteriores fue traducida y publicada numerosas veces con el Teisir, Los traductores de Toledo studium Artes Arabum abacista algoritmo Aforismos Sevillano Alfonso el Sabio y los arabistas europeos Las La manera de componer e facer la asafea Lapidario

29. Mathématiques Hébraïques Au Moyen-Age Translate this page Abraham bar Hiyya (connu en latin sous le nom de savasorda) a été éduqué et forméscientifiquement dans l'une des principautés arabes issues de la chute http://ufr6.univ-paris8.fr/lit-math/maths/tony.html

CNRS-CHSPAM (Villejuif) email: tlevy@infobiogen.fr Novembre 1998 retour aux enseignants-chercheurs - Euclide et la tradition euclidienne haut de la page haut de la page

30. Calendars - Credits, Feedback, Bibliography The oldest systematic and complete book on the present fixed Jewish calendar isthe work of Abraham bar Hiyya(born c. 1065), known as savasorda of Barcelona http://webexhibits.org/calendars/credits.html

Credits This historical exhibit is provided as a public service of the Institute for Dynamic Educational Advancement (IDEA) by WebExhibits as a complement to www.time.gov . Texts are adapted with permission from various sources, as detailed below, who are solely responsible for its content. Feedback, questions, and corrections We appreciate your feedback, and read all comments; however, due to the volume of e-mail, we are unable to respond personally. If you have corrections, please send them to us, and we will forward them to their respective authors. You may reach us via e-mail Design Exhibit compiled and designed by Michael Douma Productions. For information about the search technology we use, see Custom Inktomi Text Much of the text about Calendars is adapted with permission from the Calendar FAQ Various texts, including the background on our year, the introduction to the Calendars section, the Indian calendar, and the history of the Chinese calendar are adapted from L. E. Dogget. Explanatory Supplement to the Astronomical Almanac , P. Kenneth Seidelmann, editor, with permission from University Science Books, Sausalito, CA 94965.

31. The Metropolitan Museum Of Art - Special Exhibitions e savasorda. In Vezzosi 1982, pp. 87–93. Galluzzi 1987 http://www.metmuseum.org/special/Leonardo_Master_Draftsman/draftsman_biblio.asp?

32. Books Received In The Jewish Studies Library, October, 2001 Unless otherwise noted, all items are in the Main Library stacks (MAI). Returnto Contents. Uncataloged Titles. Abraham bar Hiyya savasorda, ca. 1065ca. http://www.lib.ohio-state.edu/jdc/1001.html

Jewish Studies Library New Books added to OSU's Jewish Studies Library October, 2001 Contents: Uncataloged Titles Archeology and Ancient Languages Bible Hebrew Language and Literature ... Miscellaneous Unless otherwise noted, all items are in the Main Library stacks (MAI) Uncataloged Titles Abraham bar Hiyya Savasorda, ca. 1065-ca. 1136 Higayon ha-nefesh ha-atsuvah : nikra gam Sefer ha-musar / leha-kadmon Avraham bar Hiyya ha-nasi. [Holon : M. Ben-Yosef], 761 [2000 or 2001] 115 p. : ill. ; 25 cm. Alternate title: Sefer ha-musar. Aharit ke-reshit : maamre geulah a. pi rabotenu Ramhal veha-Gera ... / nilkat a. y. Aryeh ben Refael Shapira. Yerushalayim : [h. mo. l.], 5761 [2001] 53 p. ; 23 cm. Sefer Alim li-terufah : Igeret ha-Gera zal mevoeret : Igeret ha-Ramban zal mevoeret ... / sudar ve-nitbaer a. y. Avinoam ben Yaakov Perets. Yerushalayim : A. ben Y. Perets, 5761 [2000 or 2001] 134 p. ; 24 cm. Almog, Shulamit Makom ha-mishpat be-"Ir u-meloah" shel Sh. Y. Agnon / me-et Shulamit Almog. [Haifa] : Universitat Hefah, ha-Fakultah le-madae ha-ruah, ha-Hug le-sifrut Ivrit ve-hashvaatit, 1999. 305 p. ; 30 cm.

33. Historique De La Géomatique P.3 Translate this page Auteurs Rock Santerre et Stéphanie Bourgon 1145, Liber embadorum, du juif savasordade Barcelone, traité d’arpentage consacré au calcul des surfaces. 1280, http://www.scg.ulaval.ca/gps-rs/fr/Histo/GMT/histoGMT_p3.htm

Auteurs: Rock Santerre et Stéphanie Bourgon Liber embadorum e s. Promulgation du yard étalon en Angleterre. Premiers portulans. e s. v. 1500 Invention de la montre. Au cours de ses explorations le long du Saint-Laurent, Jacques Cartier a cartographié le fleuve et ses rives. De revolutionibus orbium coelestium , de Copernic, système du monde héliocentrique. Projection par le Flamand Gerhard Kremer dit Mercator. Réforme du calendrier julien par le Pape Grégoire XIII. Introduction du calendrier grégorien utilisé encore de nos jours. Invention du thermomètre par Galilée. Invention par le Français Philippe Danfrie du graphomètre comportant un demi-cercle gradué et 2 alidades dont une mobile. Fondation de la ville de Québec par Samuel de Champlain, premier arpenteur de la Nouvelle-France. Invention de la lunette astronomique par Galilée. Astronomia nova Publication du Messager sidéral par Galilée.

34. Abraham His name is Hebrew for 'the prince' but he is also known by the Latin name savasordawhich comes from his 'job description' showing that he held an official http://www.math.hcmuns.edu.vn/~algebra/history/history/Mathematicians/Abraham.ht

35. S Index al (1569) Samoilemko, Anatoly (252*) Sang, Edward (471*) Saurin, Joseph (210) Savage,Leonard (299*) Savart, Felix (106) Savary, Félix (153), savasorda (A bar http://www.math.hcmuns.edu.vn/~algebra/history/history/Indexes/S.html

36. 2nd_to_4th.nb record of the general quadratic solution is found in Liber Embadorum, written in1145 CE by the Arab mathematician Abraham bar Hiyya HaNasi (known as savasorda http://www.pitt.edu/~jagst135/polynomial/quartic/

* root formulae taken from Polynomials and Polynomial Inequalities , by Borwein and Erdelyi. Roots of the Quadratic Equation Source: Although methods of solving quadratics were well-known since the time of the Babylonians, these early mathematicians lacked the modern notation of equations in order to express such solutions in a general formula. Rather, they relied on (geometric-based) algorithms, which have been found equivalent to the method of "completing the square." The earliest record of the general quadratic solution is found in Liber Embadorum , written in 1145 C.E. by the Arab mathematician Abraham bar Hiyya Ha-Nasi (known as Savasorda). It differed from previous works, such as those of Al-Khwarizmi, which separated the problem into four cases, in order to avoid using negative quantities (a previous unknown). In the modern setting, the quadratic formula is familiar to us from grade school. For the equation: a + bx + c = , the solutions take the following form: x This follows from the method of completing the square. Roots of the Cubic Equation Source: The context of this discovery is a murky one. The earliest record of a solution is found in

37. Videnskabshistorisk Persongalleri - 4 s125). 1145, 2. del af alKhwarizmis algebra blev ikke oversat direktetil latin, men via Abraham bar Hiyya (savasorda) udvidede udgave. http://home3.inet.tele.dk/skaaning/persongalleri/persongalleri4.htm

Middelalderen 2, c.1000-c.1500 år emne/person Maslama al-Majriti Skrev en meget refereret kommentar til al-Khwarizmis astronomi-tabeller. Spanien. Diciple: al-Zahrawi, ibn al-Samh og Abu Muslim ibn Khaldun, selv en mester. Sidstnævnte skrev i "Muqaddima" om "craft calculation" (kunsten at lægge til og trække fra). algebra og købmandsregning. Han betegnede det som noget nyt. (Num. s385) Nizam al-Mulk . Fl. 1063-1092. Død 1092 (Isl. s85) 11. årh. al-Biruni (A his. s120) Constantine the African . Til Salerno, S-Italien, hvor han oversatte arabiske medicinske texter. Han kan have introduceret Galen, Hippokrates og dele af Aristoteles' biologi (A his. s124). Peter Abelard (A his. s190) Toledo faldt i kristne hænder (A his. s124) slutn. 11. årh Korstogene begynder (A his. s124). c. 1090-c. 1150 Adelard fra Bath . Oversatte arabiske videnskabelige værker. Forfatter til "Naturlige spørgsmål". 1116-1142. Adelard af Bath. Fl. oversatte al-Hajjajs ufuldstændige arabiske version af Euklids "Elementer". Denne version blev den mest brugte i middelalderen. jfr. Hermann af Carinthia og Gerhard af Cremona (Mat. s209) Adelard (A his. s125-126). St. Bernard af Clairvaux

38. Page Three Abraham bar Hiyya HaNasi, often known by the Latin name savasorda, is famed forhis book Liber Embadorum published in 1145 which is the first book published http://www.k12.nf.ca/discovery/curriculum/math/famous/pagethree.htm

Abraham Bar Hiyya Ha- Nasi PAGE THREE Abraham bar Hiyya Ha-Nasi, often known by the Latin name Savasorda, is famed for his book Liber Embadorum published in 1145 which is the first book published in Europe to give the complete solution of the quadratic equation. A new phase of mathematics began in Italy around 1500. In 1494 the first edition of Summa de arithmetica, geometrica, proportioni et proportionalita, now known as the Suma, appeared. It was written by Luca Pacioli although it is quite hard to find the author's name on the book, Fra Luca appearing in small print but not on the title page. In many ways the book is more a summary of knowledge at the time and makes no major advances. The notation and setting out of calculations is almost modern in style: 6.p.R.10 18.m.R.90 Home page

39. Full Name: He also wrote a text of the choosing of (auspicious) days which was translatedby savasorda in Barcelona in 1133 or 1134 in the twelfth century. http://www.peddie.org/princip/espana97/WEB/Text/901-950/AlImra.htm

Full name: Field(s) of study: mathematician Specific location of work: Mosul Description of work: Back to 901-950 in the East Back to the main map Back to Medieval Islamic Astronomy

40. Page4 Translate this page Cet ouvrage de 223 pages s'appuie sur les Eléments d'Euclide avec également certainesparties empruntées à Archimède, Héron, savasorda, ainsi qu'au livre http://www.ac-orleans-tours.fr/maths-1/rallye/dossiers99/lbfo9/page4.htm

Lycée Benjamin Franklin Orléans c) PRACTICA GEOMETRIE Cet ouvrage de 223 pages s'appuie sur les Eléments d'Euclide avec également certaines parties empruntées à Archimède, Héron, Savasorda, ainsi qu'au livre des " Trium Fratorum ". Les sources de Léonard étaient donc essentiellement grecques. Tout d'abord, Fibonacci explique, complète et applique les Eléments d'Euclide. Ces explications constituent un préambule et introduisent des notions algébriques nécessaires à la résolution des problèmes. De plus, la valeur de p p est égal à 3,141818, ce qui est remarquable ! Dans le chapitre IV ( distinctio quarta Sur la division des figures En conclusion de la Practica geometrie + 5 = z EXTRAIT DE LA PREMIERE PAGE de la Practica geometrie dont Boncompagni a tiré son édition au XIX ème haut de page sommaire dossiers page précédente page suivante

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