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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
R Avraham Bar Chiya savasorda ø àáøäí áø çééà äðùéà, Barcelona, 1952 -áøñìåðä and music, written by Rabeinu Avraham Bar Chiya HaNasi savasorda,
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. High-Speed Server and Mirror provided by TeachItToMe.com 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. TIMELINE 11th CENTURY Page Of ULTIMATE SCIENCE FICTION WEB GUIDE
1100 savasorda writes important book on Geometry. DE Smith, p.557 1100 OmarKhayyam, the poet, writes important books on Arithmetic and on Astronomy.
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

23. Abraham Bar Hiyya --  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-9003382
Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Abraham bar Hiyya Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Abraham bar Hiyya
 Encyclopædia Britannica Article Page 1 of 1 born c.
died c.
also called
Spanish Jewish philosopher, astronomer, astrologer, and mathematician whose writings were among the first scientific and philosophical works to be written in Hebrew. He is sometimes known as Savasorda, a corruption of an Arabic term indicating that he held some civic office in the Muslim administration of Barcelona.
Abraham bar Hiyya...

24. Why Try Britannica Online?
He is sometimes known as savasorda, a corruption of an Arabic term indicating thathe held some civic office in the Muslim administration of Barcelona.
http://www.britannica.com/eb/print?tocId=9003382&fullArticle=true

25. THAIS.IT - Drawings Of Italian Painters
Translate this page The text begins “… from the Book of the areas by savasorda l’Ebreo… Il testoinizia con “incipit del Libro delle aree di savasorda l’Ebreo ”.
http://www.thais.it/speciali/disegni/scheda0102.htm
Leonardo da Vinci Recto: studies of children with a lamb, glimpses of the Virgin with the Child. Pen, ink, bistre Malibu, California, The Paul Getty Museum. The sheet was used at different times. The writing at the top dates back to around 1500 the period in which Leonardo, according to a letter from Father Novellara to Isabella d’Este, “ was obsessed by geometry and less satisfied by the paintbrush.” The text begins: “… from the Book of the areas by Savasorda l’Ebreo…” The well-known astronomer was really Abraham ben Hiyya. The sketches of the Child were considered to be preparatory drawings for the Saint Anne in the Louvre. The “Virgin and Child” is so faded that it results almost invisible in the centre of the sheet and immediately below the writing. Dated around 1497-1500. Leonardo da Vinci Recto: studi di bambino con agnello; accenno di Vergine col Bambino

26. Quadratic Equation -- Facts, Info, And Encyclopedia Article
language of ancient Rome) Latin name (Click link for more info and facts aboutsavasorda) savasorda) was the first to introduce the complete solution to
http://www.absoluteastronomy.com/encyclopedia/q/qu/quadratic_equation.htm
Quadratic equation
[Categories: Equations, Elementary algebra]
In (A science (or group of related sciences) dealing with the logic of quantity and shape and arrangement) mathematics , a quadratic equation is a (A mathematical expression that is the sum of a number of terms) polynomial (A mathematical statement that two expressions are equal) equation of the second (A specific identifiable position in a continuum or series or especially in a process) degree . The generalized form is
The numbers a b and c are called coefficients a is the coefficient of x b is the coefficient of x , and c is the free term or constant.
A quadratic equation with (An old small silver Spanish coin) real or ((psychoanalysis) a combination of emotions and impulses that have been rejected from awareness but still influence a person's behavior) complex coefficients has two complex roots (i.e., solutions for x when y = 0) usually denoted as and , although the two roots may be equal. These roots can be computed using the quadratic formula
Higher-degree equations may be quadratic in form , such as:
Note that the highest exponent is twice the value of the exponent of the middle term. This equation may be resolved directly or with a simple substitution, using the methods that are available for the quadratic, such as factoring (also called factorising), the quadratic formula, or completing the square.

27. Abraham Bar Hiyya Ha-Nasi - Surch
Abraham bar Hiyya HaNasi (1070 - 1136) was a Spanish Jewish mathematician,also known as savasorda (from the Arabic S?b as-Shurta).
http://www.surch.co.uk/-/Savasorda.html
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Abraham bar Hiyya Ha-Nasi
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Abraham bar Hiyya Ha-Nasi ) was a Spanish Jew ish mathematician , also known as Savasorda (from the Arabic Sâhib as-Shurta). He lived in Barcelona ; and is remembered for his role in the dissemination of the quadratic formula . Bar Hiyya wrote several scientific works in the fields of astronomy, mathematics, land surveying and calendar calculations, as well as two religious works, Hegyon ha-Nefesh on repentance and Megillat ha-Megalleh on redemption. Even these religious works contain scientific and philosophical speculation. Bar Hiyya wrote all his works in Hebrew , not in Judaeo-Arabic of the earlier Jewish scientific literature, which makes him a pioneer in the use of Hebrew language for scientific purposes. He also co-operated with Plato of Tivoli in the translation of scientific works from Arabic into Latin.
External link
http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Abraham.html http://www.abo.fi/~htoyryla/abh.pdf This article was derived fully or in part from Wikipedia . This article is distributed under the terms of GNU Free Documentation License

28. Biblical Holy Days Bible Study - At BibleStudy.org
942) and two other scholars of Cordoba were quoted by savasorda but these bookshave not been preserved. The calendric controversy between Rabbanites and
http://www.biblestudy.org/gands/hdaybook/calcont.html
Home Basic Bible Personal Answers In-Depth Bible ... Site Map BibleStudy.org
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Entire Site Basic Articles Personal Answers Biblical Holy Days: Sacred Calendar
Calendar Controversy
Print This Page Select To Go To Section On: The Sabbath Holy Days - General Passover Feast of Unleavened Bread Pentecost Day of Trumpets Day of Atonement Feast of Tabernacles Last Great Day Sacred Calendar New Moons Pagan Holidays Description of Articles BIBLIOGRAPHY Select For Articles in Section: Sacred Calendar Calendar Controversy The Calendar God Gave to Moses A number of controversial issues have been raised as to the correct calendar for determining the Holy Days. This article examines some of these issues. Feast of Unleavened Bread and the Calendar The Feast of Unleavened Bread is a unique Festival. On each of the seven days, one must eat unleavened bread, Leviticus 23:6 Seven days shall ye eat unleavened bread . . . . And in the first day [Nisan 15] there shall be an holy convocation, and in the seventh day [Nisan 21] there shall be an holy convocation to you; no manner of work shall be done in them, save that which every man must eat, that ONLY may be done of you ( Exodus 12:15-16 What does this mean? Why did God specify that on the two Holy Days of the Feast of Unleavened Bread, that work involving food preparation may be done? God did not repeat this allowance for the other Holy Days, not even the Sabbath. Why not? What is the purpose of this law? Is there proof? Does it make sense?

29. Conics
In 1145, savasorda published Liber embadorum that gave the complete solutionof the quadratic equations. Abraham bar Hiyya HaNasi.
http://members.fortunecity.com/marcolini/calculus/precalculus_graphs.htm
web hosting domain names photo sharing
SOME COMMON CURVES and their history
debt -history of solving equations
Euclid of Alexandria
Born: about 325 BC
Died: about 265 BC in Alexandria, Egypt
geometrical approach to solve equations elements
Born: 598 in (possibly) Ujjain, India
Died: 670 in India
no picture sorry he introduced negative quantities he used abbreviations of colors to indicate unknowns
Born: about 780 in Baghdad (now in Iraq)
Died: about 850
gives the rule for solving each type of equation, 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 al’Khwarizmi also gave a classification system for quadratics. He devotes a chapter to each chapter in his treatise and gives methods in solving each differently. Six Types of Quadratics 1. Squares equal to roots (x² = square root of 2) 2. Squares equal to numbers (x² = 2) 3. Roots equal to numbers (square root of x = 2) 4. Squares and roots equal to numbers (x² + 3x = 25)

30. LookSmart - Search Results For DCS
Abraham bar Hiyya HaNasi Offers a biography of the 12th century Spanish-Jewishmathematician and astronomer of Barcelona also known by the Latin name savasorda
http://64.241.242.202/r?l&key=DCS&source=LookSites&isp=US&c=0&cluster=cl0dcs0st0

31. Encyclopaedia Britannica Entry
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.aam314.vzz.net/EB/Abraham.html
Abraham bar Hiya
Born: c. 1065
Died: c. 1136 also called Abraham Bar Hiyya Ha-nasi (Hebrew: "the Prince") Spanish Jewish philosopher, astronomer, astrologer, and mathematician whose writings were among the first scientific and philosophical works to be written in Hebrew. He is sometimes known as Savasorda , a corruption of an Arabic term indicating that he held some civic office in the Muslim administration of Barcelona. In addition to translating scientific books from Arabic into Latin and Hebrew, Abraham also wrote a number of original works, among them a scientific encyclopaedia (the first in the Hebrew language) and a book on mathematics, Hibbur ha-Meshihah ve-ha-Tishboret ("Treatise on Measurement and Calculation"), which, in its Latin translation, Liber Embadorum (1145), became a principal textbook in western European schools. Other notable works by Abraham include the philosophical treatise Hegyon ha-Nefesh ha-Azuva (Meditation of the Sad Soul), which dealt with the nature of good and evil, ethical conduct, and repentance; and Megillat ha-Megalleh ("Scroll of the Revealer"), in which he outlined his view of history, based on astrology and purporting to forecast the messianic future.

32. 1090
Translate this page savasorda, Avraham bar Hijjah ha-Nasî (?-1136 ca) matematico, astronomo e filosofoebreo spagnolo Trattato sulla misurazione e il calcolo (tradotto
http://www.viandante.it/sito24/work/XI secolo/1090.php
Il Viandante in rete dal 1996 bol.com Libri nuovi a metà prezzo CARTE
PREPAGATE
Nuova Ricerca Papa
Urbano II, beato

cardinali
Gentile Paolo

(dal 1089).
ANNO 1090 Germania Boemia, Polonia, Austria e Ungheria Russia Francia Inghilterra e Scozia Spagna Italia Enrico IV (Goslar? 1050-Liegi 1106)
re di Germania
imperatore del Sacro Romano Impero

Enrico Matilde a Vicenza e pone l'assedio alla rocca di Monteveglio e poi a quella di Canossa;
segue Ladislao I il Santo (n. 1043 ca-Nitra, Slovacchia 1095) figlio di re d'Ungheria segue Vsevolod I terzogenito di Jaroslav I il Saggio gran principe di Perejaslav 1076-77, gran principe di Kijev; gran principe di Kijev segue Guglielmo IX (n. 1071-Poitiers 1127) figlio di Guglielmo VIII duca d'Aquitania e conte di Poitiers Roberto II Cortacoscia (n. 1054 ca-Cardiff 1134) figlio maggiore di Guglielmo I il Conquistatore e di Matilde di Fiandra duca di Normandia Raimondo IV (Tolosa 1042-Tripoli di Siria 1105) conte di Saint-Gilles, prima di succedere al fratello

33. 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://members.aol.com/jeff570/geometry.html
Earliest Uses of Symbols from Geometry
Last revision: August 26, 2001 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 (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).

34. History Of Mathematics - Al'Khwarizmi & Al Jabr
In 1145, savasorda published Liber embadorum that gave the complete solution ofthe quadratic equations. In 1494, the first edition of Summa de arithmetica,
http://members.aol.com/bbyars1/algebra.html
Many say that the Babylonians first developed systems of quadratic equations. This calls for over simplification, because the Babylonians had no concept of an equation. Also, all solutions to Babylonian problems were positive because they were solutions to problems involving lengths. Six Types of Quadratics 3. Roots equal to numbers (square root of x = 2) (6 + square root of 10)(18 - square root of 90) = (108 - square root of 3240 + square root of 3240 - square root of 900) which is 78 Scipione dal Ferro is the first credited with solving cubic equations algebraically, around 1515. However, he could only solve cubic equations with the form He kept this work a secret until 1526 when he revealed it to his student Antonio Fior. Soon, the work was common knowledge around Bologna, where dal Ferro taught at the University of Bologna. Other observations in the field of complex equations were also made, primarily that of Harriot. He observed that if x = b, x = c, x = d then (x - b)(x - c)(x - d) = which allowed more uses for the cubic equations. Many proofs after this followed, including ones which first proved these principles algebraically, instead of geometrically. The further use of algebra supplemented modern mathematics in a very important way.

35. 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://giveshare.org/HolyDay/calcont.html
Calendar Controversy
A number of controversial issues have been raised as to the correct calendar for determining the Holy Days. This article examines some of these issues. Feast of Unleavened Bread and the Calendar The Feast of Unleavened Bread is a unique Festival. On each of the seven days, one must eat unleavened bread, Leviticus 23:6 Seven days shall ye eat unleavened bread . . . . And in the first day [Nisan 15] there shall be an holy convocation, and in the seventh day [Nisan 21] there shall be an holy convocation to you; no manner of work shall be done in them, save that which every man must eat, that ONLY may be done of you ( Exodus 12:15-16 What does this mean? Why did God specify that on the two Holy Days of the Feast of Unleavened Bread, that work involving food preparation may be done? God did not repeat this allowance for the other Holy Days, not even the Sabbath. Why not? What is the purpose of this law? Is there proof? Does it make sense? Of all the Holy Days, only Nisan 15 (the first day of the Feast of Unleavened Bread) can ever fall on a Sunday. When it does, which is a rare occasion, Nisan 14 (Passover) falls on the weekly Sabbath. In this case, preparation for Nisan 14 must be made on Friday, Nisan 13, while cleaning up of the Sabbath dishes and any last-minute food preparation for the night to be much observed and the morning of the Holy Day may be done on the Holy Day itself (Sabbath sunset to Sunday sunset). No food preparation for Sunday Nisan 15 may be done on the weekly Sabbath.

36. Abraham Hija - Wikipedia
Abraham bar Hija ben haNasi savasorda (Hiyya, Chija) (ha Nasi, Ha-Nasi) (latinskoAbraham Njegovo ime savasorda izhaja iz arabskega Sâhib as-Šurta,
http://sl.wikipedia.org/wiki/Abraham_Hija
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Abraham Hija
Iz Wikipedije, proste enciklopedije.
Abraham bar Hija ben ha-Nasi Savasorda (Hiyya, Chija) (ha Nasi, Ha-Nasi) ( latinsko Abraham Judaeus), Å¡pansko judovski astronom matematik ... astrolog in filozof , * okoli Soria ob Dueru ali Barcelona Å panija , † okoli , verjetno Barcelona ali Provansa Francija Njegovo ime Savasorda izhaja iz arabskega S¢hib as-Å urta, kar je dejansko pomenilo njegov uradni položaj v mestni upravi. Živel je v Barceloni pod krščansko vlado Njegova dela, pisana v arabščini , je leta prevedel v latinščino Platon iz Tivolija ). Drugače pa je v večini pisal v hebrejščini ali judeoarabščini Arabsko pisana dela so vsebovala kvadratne enačbe . Druga dela so bila s področja astronomije matematike zemljemerstva in preračunavanja koledarjev . Napisal je tudi dve religiozni deli: Hegjon ha-NefeÅ¡ o kesanju in Svitek razodetja Megillat ha-megale ) o odreÅ¡itvi.

37. Calendar Encyclopædia Britannica
book on the present fixed Jewish calendar is the work of e ty = s Abraham barHiyya /e (born e ty = i c. /e 1065), known as savasorda of Barcelona
http://www.koreabritannica.com/eb/article?tocId=60204

38. DomainPond.com - Live Domain Reports
sakuraky.org. R - S P - W. satingpra.org. R - S P - W.savasorda.org. R - S P - W. savedobbs.org. R - S P - W.
http://www.domainpond.com/cgi-bin/rep.pl?char=9&tld=org&total=1&page=0

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40. Abraham
In the Hebrew of his time HaNasi meant the leader but he is also known by theLatin name savasorda which comes from his job description showing that he
http://www-groups.dcs.st-andrews.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
Version for printing

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

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