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         Savasorda:     more detail
  1. The Meditation of the Sad Soul (Littman Library of Jewish Civilization) by Abraham Bar Hiyya Savasorda, 1984-06-21
  2. La Obra Forma De La Tierra De R. Abraham Bar Hiyya ha-Bargeloni by Abraham Bar Hiyya Savasorda, 1956-01-01
  3. Sefer Megilat ha-megaleh (Hebrew Edition) by Rabbi Abraham bar Hiyya Savasorda, 2007-12-10
  4. LA OBRA ENCICLOPEDICA; YESODE HA-TEBUNA U-MIGDAL HA-EMUNA, DE R. ABRAHAM BAR HIYYA HA-BARGELONI. Edicion Critica Con Traduccion, Prologo Y Notas, Por Jose Maria Millas Vallicrosa by Abraham Bar Hiyya Savasorda, 1952-01-01

21. Seforim Online
Yisodei HaTevuna uMigdal HaEmunah éñåãé äúáåðä åîâãì äàîåðä,R Avraham Bar Chiya savasorda - ø àáøäí áø çééà äðùéà,
http://www.seforimonline.org/seforim5.html

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Subscribe to our mailing list to receive updates about our web site. Search our web site in English or Hebrew. Seforim Page Sefer - ñôø Author - îçáø Publication - ãôåñ Sefer Tzachos - ñôø öçåú R' Avraham Ibn Ezra - ø' àáøäí àáï òæøà Fiorda, 1827 - ôéåøãà, ú÷ô"æ Sefer Tzachos is a sefer on Hebrew grammar by one of our great Rishonim, Rabeinu Avraham Ibn Ezra. Sefer Tzachos deals with linguistic correctnessand contains a brief outline of modern Hebrew meter. This edition comes with the commentary of Rav Gavriel Hirsch Lipman, a student of Rav Avraham Binyomin Hamburg, who was the Rav of Fuerth in Germany, a colleague of the Chasam Sofer and the rebbi of Rabbi Bamberger. Ohel Moed - àäì îåòã R' Shlomo MeUrbino - ø' ùìîä îàåøáéðå Vienna, 1881 - ååéðà, úøî"à Sefer Ohel Moed, written in 1480 by on of the great late Rishonim, Rabeinu Shlomo Ben Avraham from Urbino, is a dictionary of synonyms with references from Tanach and some word defintions. This is the second edition of this sefer published with introduction and notes by Prof. Willheimer. Yisodei HaTevuna uMigdal HaEmunah - éñåãé äúáåðä åîâãì äàîåðä R' Avraham Bar Chiya Savasorda - ø' àáøäí áø çééà äðùéà Barcelona, 1952 - áøñìåðä, úùé"á

22. Deuxieme Partie Ch. 4 La Place De La Geometrie De Boysset Dans
de savasorda ou d Abû Bekr pour donner à voir l éclairage que la science
http://boysset.ifrance.com/boysset/AA2pch4.htm

23. SOURCES
Translate this page Vivait de 1232 à 1316. Liber de nova et compendiosa geometria, écrità Paris en 1299. En latin. savasorda. Liber embadorum. Edition
http://boysset.ifrance.com/boysset/Sources.htm

24. TIMELINE 11th CENTURY Page Of ULTIMATE SCIENCE FICTION WEB GUIDE
Arabic works on the subject. DE Smith, p.206 The foremost of these Jewish scholarsAbraham bar Chiia Abraham Judaeus, commonly known as savasorda c.1070
http://www.magicdragon.com/UltimateSF/timeline11.html
TIMELINE 11th CENTURY
Return to Timeline Table of Contents

Return to Ultimate SF Table of Contents
TIMELINE 11th CENTURY
May be posted electronically provided that it is transmitted unaltered, in its entirety, and without charge. We examine both works of fiction and important contemporaneous works on non-fiction which set the context for early Science Fiction and Fantasy. There are hotlinks here to authors, magazines, films, or television items elsewhere in the Ultimate Science Fiction Web Guide or beyond. Most recently updated: 25 April 2003 [from 65 to 81 kilobytes]. This web page draws heavily on FACTS as listed in " The Timetables of Science
Facts were also checked against " The 1979 Hammond Almanac " [ed. Martin A. Bacheller et al., Maplewood, New Jersey, 1978], p.795; and the Wikipedia . It also utilizes facts from Volume I of D.E. Smith's " History of Mathematics " [(c) 1921 by David Eugene Smith; (c) 1951 by May Luse Smith; New York: Dover, 1958]. Executive Summary of the 11th Century Major Books of the Decade 1000-1010 Major Books of the Decade 1010-1020 Major Books of the Decade 1020-1030 ... Where to Go for More : 51 Useful Reference Books
Executive Summary of the 11th Century
This was a major century for the Vikings ; the Great Schism (1054) between the Western (Roman Catholic) and Eastern Orthodox churches; the

25. Brooklyn Public Library /All Locations
Kit¯ab alhujjah. Maimonides, Moses, 1135-1204. Dal¯alat al-h¯a ir¯in.Abraham bar Hiyya savasorda, ca. 1065-ca. 1136. Philosophy, Jewish.
http://catalog.brooklynpubliclibrary.org:90/kids/10,947,389/search/d?Abraham bar

26. Calendar Controversy
The most direct source of Maimonides Sanctification was the work of Abraham benHiyyah, known as savasorda of Barcelona (b. 1065) who wrote Sefer haibbur
http://www.giveshare.org/HolyDay/calcont.html

27. Quadratic Formula
Abraham bar Hiyya HaNasi (also known by the Latin name savasorda) was the firstto introduce the complete solution to Europe in his book Liber embadorum.
http://www.fact-index.com/q/qu/quadratic_formula.html
Main Page See live article Alphabetical index
Quadratic formula
The quadratic formula explicitly gives the solutions x to the quadratic equation in terms of the coefficients a b and c , which we temporarialy assume to be real (but see below for generalizations) with a being non-zero. These solutions are also called the roots of the equation. The formula reads The term b ac is called the discriminant of the quadratic equation, because it discriminates between three qualitatively different cases:
  • If the discriminant is zero then there is a repeated solution x , and this solution is real. Geometrically, this means that the parabola described by the quadratic equation touches the x -axis in a single point. If the discriminant is positive, then there are two different solutions x , both of which are real. Geometrically, this means that the parabola intersects the x -axis in two points. Furthermore, if the discriminant is a perfect square, the roots are rational numbers in other cases they may be quadratic irrationals. If the discriminant is negative, then there are two different solutions

28. 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/on-line/studies/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?

29. 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.

30. 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://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

31. The Meditation Of The Sad Soul - Abraham Bar Hiyya Savasorda

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32. 20 Matematicos Celebres - Francisco Vera
Translate this page romano y las Etimologías del arzobispo de Sevilla eran las únicas fuentes de conocimientosmatemáticos, superadas en el siglo XII por savasorda en España
http://www.geocities.com/veintematematicoscelebres/cap10.html
CONTENIDO
Presentación

Prólogo

Abel y Galois

Monge y Fourier
... em@il a Antonio
MAUROLICO Y COMMANDINO
En el campo del Arte, los hombres del Quattrocento Los Elementos de Euclides, el Almagesto de Ptolomeo, la de Diofanto, las Dies irae. del noble romano y las Eglogas Deus impare gaudet De centro gravitatis solidorum

33. Abraham Ibn Ezra
Rabbi Abraham barChiya (known in science books as savasorda) of Barcelona, wroteand published in Hebrew the encyclopedia entitled Source of Intelligence and
http://www.geocities.com/Paris/Palais/1067/ibn_ezra01.html
The COMBINATORIAL ASTROLOGY of Rabbi ABRAHAM IBN EZRA (1089-1164)
by Doron ZEILBERGER
Department of Mathematics, Temple University,
Philadelphia, PA 19122, USA. http://www.math.temple.edu/ Ibn Ezra was born in Tudela, Spain. At that time, all of the great mathematicians were 'Spanish'. Indeed, in the 11th and 12th centuries, the greatest contribution to science was made by the Jewish scholars, especially in Spain. Names known from religious sources as 'Rabbis' and 'Kabbalists' are known in history books of mathematics and science as outstanding inventors and developers. Rabbi Abraham bar-Chiya (known in science books as Savasorda) of Barcelona, wrote and published in Hebrew the encyclopedia entitled Source of Intelligence and Tower of Belief and the book entitled Liber Embadorum treating about geometry and arithmetic theories. His books were translated into Latin and German and used as a source for other mathematicians- Ibn Ezra published his famous mathematic books in Hebrew: Book of Unity Book of Number , and Stratagem . In his books he refers to two Jewish researchers who published books in the 10th century: A judge named Hazan from an unknown source and a physicist named Yehuda ben-Rakufial. We're talking about one of the all-time greatest thinkers in the following categories of intellectual endeavor: Poet : e.g.:

34. The Quadratic - Page Two
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.vimagic.de/hope/2/quadratic_two.html
L ater, Brahmagupta (598-665 AD) gives an, almost modern, method which admits negative quantities. He also used abbreviations for the unknown, usually the initial letter of a colour was used, and sometimes several different unknowns occur in a single problem.
T he Arabs did not know about the advances of the Hindus so they had neither negative quantities nor abbreviations for their unknowns. However al-Khwarizmi (c 800) gave a classification of different types of quadratics (although only numerical examples of each). The different types arise since al-Khwarizmi had no zero or negatives. He has six chapters each devoted to a different type of equation, the equations being made up of three types of quantities namely: roots, squares of roots and numbers i.e. x, x and numbers.
A l-Khwarizmi solves each type of equation:
Squares equal to roots
Squares equal to numbers
Roots equal to numbers
Squares and roots equal to numbers
Squares and numbers equal to roots
Roots and numbers equal to squares
- essentially the familiar quadratic formula given for a numerical example in each case, and then a proof for each example which is a geometrical completing the square.
A braham 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.

35. 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

36. 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 bar Hiyya Savaso

37. 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

38. Earliest Uses Of Symbols From Geometry
Arc. The arc symbol appears in the middle of the twelfth century in Plato ofTivoli s translation of the Liber embadorum by savasorda (Cajori vol.
http://mail.mcjh.kl.edu.tw/~chenkwn/mathword/geometry.html
Earliest Uses of Symbols from Geometry
Last revision: July 4, 1999 Lettering of geometric figures. The designation of points, lines, and planes by a letter or letters was in vogue among the ancient Greeks and has been traced back to Hippocrates of Chios (about 440 B. C.) (Cajori vol. 1, page 420, attributed to Moritz Cantor). Lettering of triangles. Richard Rawlinson in a pamphlet prepared at Oxford sometime between 1655 and 1668 used A, B, C for the sides of a triangle and a, b, c for the opposite angles. In his notation, A was the largest side and C the smallest (Cajori vol. 2, page 162). Leonhard Euler and Thomas Simpson reintroduced this scheme many years later, Euler using it in 1753 in Histoire de l'acad?mie de Berlin (Cajori vol 2., page 162). Euler used capital letters for the angles. In 1866, Karl Theodor Reye (1838-1919) proposed the plan of using capital letters for points, lower case letters for lines, and lower case Greek letters for planes in a remarkable two-volume work on geometry, Die Geometrie der Lage (Cajori vol. 1, page 423).

39. Earliest Known Uses Of Some Of The Words Of Mathematics (A)
of its etymology, it took an extra r, as if it had to do with metric. So we findPlato of Tivoli, in his translation (1116) of Abraham savasorda, speaking of
http://mail.mcjh.kl.edu.tw/~chenkwn/mathword/a.html
¦­´Á¼Æ¾Ç¦r·Jªº¾ú¥v (A)
Last revision: July 29, 1999 ABELIAN EQUATION. Leopold Kronecker (1823-1891) introduced the term Abelsche Gleichung in an 1853 paper on algebraically soluble equations. He used the term to describe an equation which in modern terms would be described as having cyclic Galois group [Peter M. Neumann]. ABELIAN FUNCTION. C. G. J. Jacobi (1804-1851) proposed the term Abelsche Transcendenten (Abelian transcendental functions) in Crelle's Journal 8 (1832) (DSB). Abelian function appears in the title "Zur Theorie der Abelschen Functionen" by Karl Weierstrass (1815-1897) in Crelle's Journal, Weierstrass' first publications on Abelian functions appeared in the Braunsberg school prospectus (1848-1849). ABELIAN GROUP. Camille Jordan (1838-1922) wrote groupe ab?lien in 1870 in Trait? des Substitutions et des Equations Alg?braiques. However, Jordan does not mean a commutative group as we do now, but instead means the symplectic group over a finite field (that is to say, the group of those linear transformations of a vector space that preserve a non-singular alternating bilinear form). In fact, Jordan uses both the terms "groupe ab?lien" and "?quation ab?lienne." The former means the symplectic group; the latter is a natural modification of Kronecker's terminology and means an equation of which (in modern terms) the Galois group is commutative. An early use of "Abelian" to refer to commutative groups is H. Weber, "Beweis des Satzes, dass jede eigentlich primitive quadratische Form unendlich viele Primzahlen darzustellen f?hig ist,"

40. Judeus Medievais - Matemática
Translate this page Monumental matemático e astrônomo judeu, conhecido no mundo não judaicocom o nome de Abraão savasorda ou oficialmente de Sahib es-Sorta.
http://www.mat.uc.pt/~jaimecs/jud.html
S " xc Algumas Bibliografias ESPANHA E PORTUGAL " " Eng. David Zumerkorn zumerkorn@lexynet.com Gueonim Como diz a nossa sagrada Torah Temos a esperança de que possa corroborar na alusão às palavras do Rebe: "Saibam os cientistas que a ciências não contradiz a Fé e que, afinal, a Fé se sobrepõe à ciência". Eng. David Zumerkorn zumerkorn@lexynet.com Tel. (011) 3871-1330 Espanha e Portugal Diz Samuel ": Os caminhos do céu estão claros para mim, assim como os caminhos de Nehardea. (16)
  • Chassdai ibn Schaprut Abraham bar Chiyya ou oficialmente de Sahib es-Sorta. Escreveu entre outras as seguintes obras: a) ( Tsurot Haaretz ) - A Forma da Terra -, que foi amplamente lida e traduzida para o latim com o nome de " Liber de Forma Terrae ", b) " " , d) " " em co-autoria com Abraham ibn Ezra e e) " Chibur " — Ensaio dos Fundamentos Sobre as Medidas - que foi traduzida para o latim com o nome de " Liber Embodurum"
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