1. 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 Biographies Index History Topics Societies, honours, etc. ... Anniversaries for the year JOC/EFR February 2000 The URL of this page is: School of Mathematics and Statistics University of St Andrews, Scotland http://www-history.mcs.st-andrews.ac.uk/history/Quotations/Abraham.html

2. Encyclopædia Britannica abraham bar hiyya Encyclopædia Britannica Article. MLA style abraham bar hiyya. Encyclopædia Britannica 2003 Encyclopædia Britannica Premium Service. http://www.britannica.com/eb/article?eu=3417

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 Biography of abraham bar hiyya (10701136) 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

5. Abraham Bar Hiyya (Abraham Judaeus) abraham bar hiyya (abraham Judaeus). Sphaera mundi autore Abra/hamo filio Chai http://www.bncf.firenze.sbn.it/progetti/palatino/2241A.HTM/w000387.htm

6. 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?

7. Abraham Bar Hiyya. abraham bar hiyya. Sphera mundi, descri/bens figuram Terrae http://www.bncf.firenze.sbn.it/progetti/palatino/2241A.HTM/w000388.htm

8. Abraham Biography of abraham bar hiyya HaNasi (1070-1136) http://sfabel.tripod.com/mathematik/database/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 Welcome page 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 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. He also wrote Yesod ha-Tebunah u-Migdal ha-Emunah (The Foundation of Understanding and the Tower of Faith). This work is an encyclopaedia of mathematics, astronomy, optics and music. It is the first encyclopaedia in the Hebrew language. Abraham also wrote on the form of the Earth and the calculation of the courses of the stars. His book

9. 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

10. References For Abraham References for the biography of abraham bar hiyya References for abraham bar hiyya. Biography in Dictionary of Scientific Biography (New York 19701990). http://www-history.mcs.st-and.ac.uk/References/Abraham.html

References for Abraham bar Hiyya Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: F Baer, Die Judem im Christlichen Spanien (Berlin, 1929). G B Sarfatti, Mathematical terminology in Hebrew scientific literature of the Middle Ages (Jerusalem 1968). Articles: Tradition, transmission, transformation, Norman, OK, 1992/1993 (Leiden, 1996), 71-88. M Levey, Abraham Savasorda and his algorism : a study in early European logistic, Osiris Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR November 1999 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Abraham.html

11. Pagetwo abraham bar hiyya HaNasi PAGE TWO. Also called abraham bar hiyya ofbarcelona. A quotation by abraham bar hiyya. Who wishes correctly http://www.k12.nf.ca/discovery/curriculum/math/famous/pagetwo.htm

Abraham Bar Hiyya Ha-Nasi PAGE TWO 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. 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 HOME PAGE PAGE THREE

12. Abraham Bar H I Yya -the M A N And H I S W O Rk Betw E En T W O World abraham bar hiyya the man and his work between two worlds The man in the shadow There is one thing typical of abraham bar hiyya among medieval Jewish scholars he http://www.abo.fi/~htoyryla/abh.pdf

13. Welcome To RealOlam.com ! - Jewish Community ISP, Exclusive News And Content abraham bar hiyya HaNasi JJO'Connor and EF Robertson, Biographies.Born 1070 in barcelona, Spain Died 1136 in Provence, France http://www.realolam.com/channels/default.asp?channel=45&articleid=3740

14. Welcome To RealOlam.com ! - Jewish Community ISP, Exclusive News And Content 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.realolam.com/channels/default.asp?channel=45&linkid=302

15. Re: Abraham Ben Ezra + Hebrew Alphanumerics By Antreas P. Hatzipolakis A survey of mathematical authors, with special attention to abraham bar hiyya and abraham ibn Ezra. http://mathforum.com/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

16. Bib. D'Humanitats. Nom De La Plana abraham bar hiyya Ha-nasi Llibre de geometria http://www.bib.uab.es/ciencies/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.

17. 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

18. Mathematiker Mit Aa Translate this page Abel Niels Henrik (1802 - 1829, Finnöy). abraham bar hiyya Ha-Nasi (1070 - 1136,barcelona). Al-Khwarizmi Abu Ja'far Muhammad ibn Musa (780 - 850, Bagdad). http://homepages.compuserve.de/thweidenfeller/mathematiker/a.html

A Abbe Ernst (1840 - 1905, Eisenach) Abel Niels Henrik (1802 - 1829, Finnöy) Abraham bar Hiyya Ha-Nasi (1070 - 1136, Barcelona) Al-Khwarizmi Abu Ja'far Muhammad ibn Musa (780 - 850, Bagdad) ... zurück

19. Mathématiques Hébraïques Au Moyen-Age Translate this page Deux personnages dominent cette époque abraham bar hiyya (ca. 1065-1145)et abraham ibn 'Ezra (ca. 1089-1164). abraham bar hiyya 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

20. Www.igl.ku.dk/~fsp/tables/tt-extras/pr06-idx.txt 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:

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